diff --git a/changelog b/changelog
index e684837..f766cd4 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,99 @@
+20130804 tpd src/axiom-website/patches.html 20130804.01.tpd.patch
+20130804 tpd src/axiom-website/CATS/index.html
+20130804 tpd src/axiom-website/CATS/rich1a.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich1a.input.pdf
+20130804 tpd src/axiom-website/CATS/rich1b.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich1b.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3a.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3a.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3c.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3c.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3d.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3d.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3e.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3e.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3f.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3f.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3g.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3g.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3h.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3h.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3i.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3i.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3j.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3j.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3k.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3k.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3l.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3l.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3m.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3m.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3n.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3n.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3o.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3o.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3p.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3p.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3q.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3q.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3r.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3r.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3s.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3s.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3t.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3t.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4a.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4a.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4b.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4b.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4c.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4c.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4d.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4d.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4e.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4e.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4f.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4f.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4g.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4g.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4h.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4h.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4i.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4i.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4j.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4j.input.pdf
+20130804 tpd src/input/Makefile.pamphlet
+20130804 tpd src/input/rich1a.input.pamphlet
+20130804 tpd src/input/rich1b.input.pamphlet
+20130804 tpd src/input/rich3a.input.pamphlet
+20130804 tpd src/input/rich3c.input.pamphlet
+20130804 tpd src/input/rich3d.input.pamphlet
+20130804 tpd src/input/rich3e.input.pamphlet
+20130804 tpd src/input/rich3f.input.pamphlet
+20130804 tpd src/input/rich3g.input.pamphlet
+20130804 tpd src/input/rich3h.input.pamphlet
+20130804 tpd src/input/rich3i.input.pamphlet
+20130804 tpd src/input/rich3j.input.pamphlet
+20130804 tpd src/input/rich3k.input.pamphlet
+20130804 tpd src/input/rich3l.input.pamphlet
+20130804 tpd src/input/rich3m.input.pamphlet
+20130804 tpd src/input/rich3n.input.pamphlet
+20130804 tpd src/input/rich3o.input.pamphlet
+20130804 tpd src/input/rich3p.input.pamphlet
+20130804 tpd src/input/rich3q.input.pamphlet
+20130804 tpd src/input/rich3r.input.pamphlet
+20130804 tpd src/input/rich3s.input.pamphlet
+20130804 tpd src/input/rich3t.input.pamphlet
+20130804 tpd src/input/rich4a.input.pamphlet
+20130804 tpd src/input/rich4b.input.pamphlet
+20130804 tpd src/input/rich4c.input.pamphlet
+20130804 tpd src/input/rich4d.input.pamphlet
+20130804 tpd src/input/rich4e.input.pamphlet
+20130804 tpd src/input/rich4f.input.pamphlet
+20130804 tpd src/input/rich4g.input.pamphlet
+20130804 tpd src/input/rich4h.input.pamphlet
+20130804 tpd src/input/rich4i.input.pamphlet
+20130804 tpd src/input/rich4j.input.pamphlet
 20130727 tpd src/axiom-website/patches.html 20130727.01.tpd.patch
 20130727 tpd src/axiom-website/CATS/index.html add rich3c
 20130727 tpd src/axiom-website/CATS/rich3c.input added
diff --git a/src/axiom-website/CATS/index.html b/src/axiom-website/CATS/index.html
index 7303013..cc3cf50 100644
--- a/src/axiom-website/CATS/index.html
+++ b/src/axiom-website/CATS/index.html
@@ -293,10 +293,12 @@ They have been rewritten using Axiom syntax.
   (a+b x)^m (c+d x)^n (part 2)
   <a href="rich1b.input.pamphlet">source</a>
   <a href="rich1b.input.pdf">pdf</a><br/>
+
   (a+b x)^m (A+B x) (d+e x)^p
   <a href="rich2.input.pamphlet">source</a>
   <a href="rich2.input.pdf">pdf</a><br/>
   (a+b x)^m (c+d)^n (e+f x)^p (part 1)
+
   <a href="rich3a.input.pamphlet">source</a>
   <a href="rich3a.input.pdf">pdf</a><br/>
   (a+b x)^m (c+d)^n (e+f x)^p (part 2)
@@ -305,6 +307,88 @@ They have been rewritten using Axiom syntax.
   (a+b x)^m (c+d)^n (e+f x)^p (part 3)
   <a href="rich3c.input.pamphlet">source</a>
   <a href="rich3c.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 4)
+  <a href="rich3d.input.pamphlet">source</a>
+  <a href="rich3d.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 5)
+  <a href="rich3e.input.pamphlet">source</a>
+  <a href="rich3e.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 6)
+  <a href="rich3f.input.pamphlet">source</a>
+  <a href="rich3f.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 7)
+  <a href="rich3g.input.pamphlet">source</a>
+  <a href="rich3g.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 8)
+  <a href="rich3h.input.pamphlet">source</a>
+  <a href="rich3h.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 9)
+  <a href="rich3i.input.pamphlet">source</a>
+  <a href="rich3i.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 10)
+  <a href="rich3j.input.pamphlet">source</a>
+  <a href="rich3j.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 11)
+  <a href="rich3k.input.pamphlet">source</a>
+  <a href="rich3k.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 12)
+  <a href="rich3l.input.pamphlet">source</a>
+  <a href="rich3l.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 13)
+  <a href="rich3m.input.pamphlet">source</a>
+  <a href="rich3m.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 14)
+  <a href="rich3n.input.pamphlet">source</a>
+  <a href="rich3n.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 15)
+  <a href="rich3o.input.pamphlet">source</a>
+  <a href="rich3o.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 16)
+  <a href="rich3p.input.pamphlet">source</a>
+  <a href="rich3p.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 17)
+  <a href="rich3q.input.pamphlet">source</a>
+  <a href="rich3q.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 18)
+  <a href="rich3r.input.pamphlet">source</a>
+  <a href="rich3r.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 19)
+  <a href="rich3s.input.pamphlet">source</a>
+  <a href="rich3s.input.pdf">pdf</a><br/>
+  (a+b x)^m (c+d)^n (e+f x)^p (part 20)
+  <a href="rich3t.input.pamphlet">source</a>
+  <a href="rich3t.input.pdf">pdf</a><br/>
+
+  x^m (a+b x^n)^p (part 1)
+  <a href="rich4a.input.pamphlet">source</a>
+  <a href="rich4a.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 2)
+  <a href="rich4b.input.pamphlet">source</a>
+  <a href="rich4b.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 3)
+  <a href="rich4c.input.pamphlet">source</a>
+  <a href="rich4c.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 4)
+  <a href="rich4d.input.pamphlet">source</a>
+  <a href="rich4d.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 5)
+  <a href="rich4e.input.pamphlet">source</a>
+  <a href="rich4e.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 6)
+  <a href="rich4f.input.pamphlet">source</a>
+  <a href="rich4f.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 7)
+  <a href="rich4g.input.pamphlet">source</a>
+  <a href="rich4g.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 8)
+  <a href="rich4h.input.pamphlet">source</a>
+  <a href="rich4h.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 9)
+  <a href="rich4i.input.pamphlet">source</a>
+  <a href="rich4i.input.pdf">pdf</a><br/>
+  x^m (a+b x^n)^p (part 10)
+  <a href="rich4j.input.pamphlet">source</a>
+  <a href="rich4j.input.pdf">pdf</a><br/>
 
 <br/><hr/><br/>
 <h3>Rich</h3><br/><br/>
diff --git a/src/axiom-website/CATS/rich1a.input.pamphlet b/src/axiom-website/CATS/rich1a.input.pamphlet
index 06f6586..b6a7a8b 100644
--- a/src/axiom-website/CATS/rich1a.input.pamphlet
+++ b/src/axiom-website/CATS/rich1a.input.pamphlet
@@ -33369,7 +33369,7 @@ r0000:=-2/3*(a+b*x)^(3/2)/(a*x^(3/2))
 --R                                                    Type: Expression(Integer)
 --E 2555
 
---S 2556 of 3333
+--S 2556 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -33381,7 +33381,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2556
 
---S 2557 of 3333
+--S 2557 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -33426,7 +33426,7 @@ r0000:=-2/5*(a+b*x)^(3/2)/(a*x^(5/2))+4/15*b*(a+b*x)^(3/2)/(a^2*x^(3/2))
 --R                                                    Type: Expression(Integer)
 --E 2560
 
---S 2561 of 3333
+--S 2561 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -33442,7 +33442,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2561
 
---S 2562 of 3333
+--S 2562 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -33489,7 +33489,7 @@ r0000:=-2/7*(a+b*x)^(3/2)/(a*x^(7/2))+8/35*b*(a+b*x)^(3/2)/(a^2*x^(5/2))-_
 --R                                                    Type: Expression(Integer)
 --E 2565
 
---S 2566 of 3333
+--S 2566 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -33505,7 +33505,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2566
 
---S 2567 of 3333
+--S 2567 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -33756,7 +33756,7 @@ r0000:=-2/3*(a-b*x)^(3/2)/(a*x^(3/2))
 --R                                                    Type: Expression(Integer)
 --E 2595
 
---S 2596 of 3333
+--S 2596 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -33768,7 +33768,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2596
 
---S 2597 of 3333
+--S 2597 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -33813,7 +33813,7 @@ r0000:=-2/5*(a-b*x)^(3/2)/(a*x^(5/2))-4/15*b*(a-b*x)^(3/2)/(a^2*x^(3/2))
 --R                                                    Type: Expression(Integer)
 --E 2600
 
---S 2601 of 3333
+--S 2601 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -33829,7 +33829,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2601
 
---S 2602 of 3333
+--S 2602 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -33876,7 +33876,7 @@ r0000:=-2/7*(a-b*x)^(3/2)/(a*x^(7/2))-8/35*b*(a-b*x)^(3/2)/(a^2*x^(5/2))-_
 --R                                                    Type: Expression(Integer)
 --E 2605
 
---S 2606 of 3333
+--S 2606 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -33892,7 +33892,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2606
 
---S 2607 of 3333
+--S 2607 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -34138,7 +34138,7 @@ r0000:=-1/3*(2+b*x)^(3/2)/x^(3/2)
 --R                                                    Type: Expression(Integer)
 --E 2635
 
---S 2636 of 3333
+--S 2636 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -34150,7 +34150,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2636
 
---S 2637 of 3333
+--S 2637 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -34195,7 +34195,7 @@ r0000:=-1/5*(2+b*x)^(3/2)/x^(5/2)+1/15*b*(2+b*x)^(3/2)/x^(3/2)
 --R                                                    Type: Expression(Integer)
 --E 2640
 
---S 2641 of 3333
+--S 2641 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -34207,7 +34207,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2641
 
---S 2642 of 3333
+--S 2642 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -34253,7 +34253,7 @@ r0000:=-1/7*(2+b*x)^(3/2)/x^(7/2)+2/35*b*(2+b*x)^(3/2)/x^(5/2)-_
 --R                                                    Type: Expression(Integer)
 --E 2645
 
---S 2646 of 3333
+--S 2646 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -34269,7 +34269,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2646
 
---S 2647 of 3333
+--S 2647 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -34515,7 +34515,7 @@ r0000:=-1/3*(2-b*x)^(3/2)/x^(3/2)
 --R                                                    Type: Expression(Integer)
 --E 2675
 
---S 2676 of 3333
+--S 2676 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -34527,7 +34527,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2676
 
---S 2677 of 3333
+--S 2677 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -34572,7 +34572,7 @@ r0000:=-1/5*(2-b*x)^(3/2)/x^(5/2)-1/15*b*(2-b*x)^(3/2)/x^(3/2)
 --R                                                    Type: Expression(Integer)
 --E 2680
 
---S 2681 of 3333
+--S 2681 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -34584,7 +34584,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2681
 
---S 2682 of 3333
+--S 2682 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -36903,7 +36903,7 @@ r0000:=-2*sqrt(a+b*x)/(a*sqrt(x))
 --R                                                    Type: Expression(Integer)
 --E 2950
 
---S 2951 of 3333
+--S 2951 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -36914,7 +36914,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2951
 
---S 2952 of 3333
+--S 2952 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -36957,7 +36957,7 @@ r0000:=-2/3*sqrt(a+b*x)/(a*x^(3/2))+4/3*b*sqrt(a+b*x)/(a^2*sqrt(x))
 --R                                                    Type: Expression(Integer)
 --E 2955
 
---S 2956 of 3333
+--S 2956 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -36969,7 +36969,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...) 
 --E 2956
 
---S 2957 of 3333
+--S 2957 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R 
@@ -36984,7 +36984,7 @@ m0000:=a0000 - r0000
 --S 2958 of 3333
 d0000:=D(m0000,x)
 --R 
---R 
+--R
 --R   (5)  0 
 --R                                                    Type: Expression(Integer) 
 --E 2958
@@ -37077,7 +37077,7 @@ r0000:=-2/7*sqrt(a+b*x)/(a*x^(7/2))+12/35*b*sqrt(a+b*x)/(a^2*x^(5/2))-_
 --R                                                    Type: Expression(Integer)
 --E 2965
 
---S 2966 of 3333
+--S 2966 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37093,7 +37093,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2966
 
---S 2967 of 3333
+--S 2967 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -37264,7 +37264,7 @@ r0000:=2*sqrt(x)/(a*sqrt(a+b*x))
 --R                                                    Type: Expression(Integer)
 --E 2985
 
---S 2986 of 3333
+--S 2986 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37276,7 +37276,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2986
 
---S 2987 of 3333
+--S 2987 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -37381,7 +37381,7 @@ r0000:=2/(a*x^(3/2)*sqrt(a+b*x))-8/3*sqrt(a+b*x)/(a^2*x^(3/2))+_
 --R                                                    Type: Expression(Integer)
 --E 2995
 
---S 2996 of 3333
+--S 2996 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37400,7 +37400,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 2996
 
---S 2997 of 3333
+--S 2997 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -37446,7 +37446,7 @@ r0000:=2/(a*x^(5/2)*sqrt(a+b*x))-12/5*sqrt(a+b*x)/(a^2*x^(5/2))+_
 --R                                                    Type: Expression(Integer)
 --E 3000
 
---S 3001 of 3333
+--S 3001 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37477,7 +37477,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 3001
 
---S 3002 of 3333
+--S 3002 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -37613,7 +37613,7 @@ r0000:=2/3*x^(3/2)/(a*(a+b*x)^(3/2))
 --R                                                    Type: Expression(Integer)
 --E 3015
 
---S 3016 of 3333
+--S 3016 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37632,7 +37632,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 3016
 
---S 3017 of 3333
+--S 3017 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -37676,7 +37676,7 @@ r0000:=2/3*sqrt(x)/(a*(a+b*x)^(3/2))+4/3*sqrt(x)/(a^2*sqrt(a+b*x))
 --R                                                    Type: Expression(Integer)
 --E 3020
 
---S 3021 of 3333
+--S 3021 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37695,7 +37695,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 3021
 
---S 3022 of 3333
+--S 3022 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -37741,7 +37741,7 @@ r0000:=2/3/(a*(a+b*x)^(3/2)*sqrt(x))+8/3/(a^2*sqrt(x)*sqrt(a+b*x))-_
 --R                                                    Type: Expression(Integer)
 --E 3025
 
---S 3026 of 3333
+--S 3026 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37772,7 +37772,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 3026
 
---S 3027 of 3333
+--S 3027 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -37818,7 +37818,7 @@ r0000:=2/3/(a*x^(3/2)*(a+b*x)^(3/2))+4/(a^2*x^(3/2)*sqrt(a+b*x))-_
 --R                                                    Type: Expression(Integer)
 --E 3030
 
---S 3031 of 3333 ok to fail, random algorithm
+--S 3031 of 3333  ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -37867,7 +37867,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 3031
 
---S 3032 of 3333 ok to fail, random algorithm
+--S 3032 of 3333  ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -40512,7 +40512,7 @@ r0000:=1/(x^(3/2)*sqrt(2-b*x))-2/3*sqrt(2-b*x)/x^(3/2)-_
 --R                                                    Type: Expression(Integer)
 --E 3285
 
---S 3286 of 3333
+--S 3286 of 3333 ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -40528,7 +40528,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 3286
 
---S 3287 of 3333
+--S 3287 of 3333 ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
@@ -40658,7 +40658,7 @@ r0000:=1/3*x^(3/2)/(2-b*x)^(3/2)
 --R                                                    Type: Expression(Integer)
 --E 3300
 
---S 3301 of 3333 ok to fail, random algorithm
+--S 3301 of 3333  ok to fail, differs by a constant
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -40673,7 +40673,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 3301
 
---S 3302 of 3333 ok to fail, random algorithm
+--S 3302 of 3333  ok to fail, differs by a constant
 m0000:=a0000 - r0000
 --R 
 --R
diff --git a/src/axiom-website/CATS/rich1a.input.pdf b/src/axiom-website/CATS/rich1a.input.pdf
index 4366ac0..1cfad11 100644
Binary files a/src/axiom-website/CATS/rich1a.input.pdf and b/src/axiom-website/CATS/rich1a.input.pdf differ
diff --git a/src/axiom-website/CATS/rich1b.input.pamphlet b/src/axiom-website/CATS/rich1b.input.pamphlet
index 7234288..1f09a0d 100644
--- a/src/axiom-website/CATS/rich1b.input.pamphlet
+++ b/src/axiom-website/CATS/rich1b.input.pamphlet
@@ -49865,7 +49865,7 @@ r0000:=2*asinh(sqrt(b*x)/sqrt(2))/b
 --R                                                    Type: Expression(Integer)
 --E 1964
 
---S 1965 of 2952
+--S 1965 of 2952 ok to fail, (non-algebraic residues)
 a0000:=integrate(t0000,x)
 --R 
 --R
@@ -49876,7 +49876,7 @@ a0000:=integrate(t0000,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E 1965
 
---S 1966 of 2952
+--S 1966 of 2952 
 m0000:=a0000 - r0000
 --R 
 --R
diff --git a/src/axiom-website/CATS/rich1b.input.pdf b/src/axiom-website/CATS/rich1b.input.pdf
index 079dacf..ff54c9e 100644
Binary files a/src/axiom-website/CATS/rich1b.input.pdf and b/src/axiom-website/CATS/rich1b.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3a.input.pamphlet b/src/axiom-website/CATS/rich3a.input.pamphlet
index fc946de..29348ed 100644
--- a/src/axiom-website/CATS/rich3a.input.pamphlet
+++ b/src/axiom-website/CATS/rich3a.input.pamphlet
@@ -28,16 +28,16 @@ There are:
 )set message auto off
 )clear all
 
---S  1 of 1092
+--S 1 of 1092
 t0:=x^2*(a+b*x)^n*(c+d*x)
 --R 
 --R
 --R            3      2          n
 --R   (1)  (d x  + c x )(b x + a)
 --R                                                    Type: Expression(Integer)
---E  1
+--E 1
 
---S  2 of 1092
+--S 2 of 1092
 r0:=a^2*(b*c-a*d)*(a+b*x)^(1+n)/(b^4*(1+n))-_
      a*(2*b*c-3*a*d)*(a+b*x)^(2+n)/(b^4*(2+n))+_
      (b*c-3*a*d)*(a+b*x)^(3+n)/(b^4*(3+n))+d*(a+b*x)^(4+n)/(b^4*(4+n))
@@ -75,9 +75,9 @@ r0:=a^2*(b*c-a*d)*(a+b*x)^(1+n)/(b^4*(1+n))-_
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                                    Type: Expression(Integer)
---E  2
+--E 2
 
---S  3 of 1092
+--S 3 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -100,9 +100,9 @@ a0:=integrate(t0,x)
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                         Type: Union(Expression(Integer),...)
---E  3
+--E 3
 
---S  4 of 1092
+--S 4 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -152,28 +152,28 @@ m0:=a0-r0
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                                    Type: Expression(Integer)
---E  4
+--E 4
 
---S  5 of 1092
+--S 5 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  5
+--E 5
 
 )clear all
 
---S  6 of 1092
+--S 6 of 1092
 t0:=x*(a+b*x)^n*(c+d*x)
 --R 
 --R
 --R            2                n
 --R   (1)  (d x  + c x)(b x + a)
 --R                                                    Type: Expression(Integer)
---E  6
+--E 6
 
---S  7 of 1092
+--S 7 of 1092
 r0:=-a*(b*c-a*d)*(a+b*x)^(1+n)/(b^3*(1+n))+_
      (b*c-2*a*d)*(a+b*x)^(2+n)/(b^3*(2+n))+d*(a+b*x)^(3+n)/(b^3*(3+n))
 --R 
@@ -191,9 +191,9 @@ r0:=-a*(b*c-a*d)*(a+b*x)^(1+n)/(b^3*(1+n))+_
 --R      3 3     3 2      3      3
 --R     b n  + 6b n  + 11b n + 6b
 --R                                                    Type: Expression(Integer)
---E  7
+--E 7
 
---S  8 of 1092
+--S 8 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -213,9 +213,9 @@ a0:=integrate(t0,x)
 --R      3 3     3 2      3      3
 --R     b n  + 6b n  + 11b n + 6b
 --R                                         Type: Union(Expression(Integer),...)
---E  8
+--E 8
 
---S  9 of 1092
+--S 9 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -244,28 +244,28 @@ m0:=a0-r0
 --R      3 3     3 2      3      3
 --R     b n  + 6b n  + 11b n + 6b
 --R                                                    Type: Expression(Integer)
---E  9
+--E 9
 
---S  10 of 1092
+--S 10 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  10
+--E 10
 
 )clear all
 
---S  11 of 1092
+--S 11 of 1092
 t0:=(a+b*x)^n*(c+d*x)
 --R 
 --R
 --R                          n
 --R   (1)  (d x + c)(b x + a)
 --R                                                    Type: Expression(Integer)
---E  11
+--E 11
 
---S  12 of 1092
+--S 12 of 1092
 r0:=(b*c-a*d)*(a+b*x)^(1+n)/(b^2*(1+n))+d*(a+b*x)^(2+n)/(b^2*(2+n))
 --R 
 --R
@@ -275,9 +275,9 @@ r0:=(b*c-a*d)*(a+b*x)^(1+n)/(b^2*(1+n))+d*(a+b*x)^(2+n)/(b^2*(2+n))
 --R                                    2 2     2      2
 --R                                   b n  + 3b n + 2b
 --R                                                    Type: Expression(Integer)
---E  12
+--E 12
 
---S  13 of 1092
+--S 13 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -291,9 +291,9 @@ a0:=integrate(t0,x)
 --R      2 2     2      2
 --R     b n  + 3b n + 2b
 --R                                         Type: Union(Expression(Integer),...)
---E  13
+--E 13
 
---S  14 of 1092
+--S 14 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -310,19 +310,19 @@ m0:=a0-r0
 --R      2 2     2      2
 --R     b n  + 3b n + 2b
 --R                                                    Type: Expression(Integer)
---E  14
+--E 14
 
---S  15 of 1092
+--S 15 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  15
+--E 15
 
 )clear all
 
---S  16 of 1092
+--S 16 of 1092
 t0:=(a+b*x)^n*(c+d*x)/x
 --R 
 --R
@@ -331,28 +331,28 @@ t0:=(a+b*x)^n*(c+d*x)/x
 --R   (1)  -------------------
 --R                 x
 --R                                                    Type: Expression(Integer)
---E  16
+--E 16
 
---S  17 of 1092
+--S 17 of 1092
 --r0:=d*(a+b*x)^(1+n)/(b*(1+n))-c*(a+b*x)^(1+n)*_
 --     hypergeometric(1,1+n,2+n,(a+b*x)/a)/(a*(1+n))
---E  17
+--E 17
 
---S  18 of 1092
+--S 18 of 1092
 --a0:=integrate(t0,x)
---E  18
+--E 18
 
---S  19 of 1092
+--S 19 of 1092
 --m0:=a0-r0
---E  19
+--E 19
 
---S  20 of 1092
+--S 20 of 1092
 --d0:=D(m0,x)
---E  20
+--E 20
 
 )clear all
 
---S  21 of 1092
+--S 21 of 1092
 t0:=x^m*(a+b*x)*(c+d*x)^5
 --R 
 --R
@@ -366,9 +366,9 @@ t0:=x^m*(a+b*x)*(c+d*x)^5
 --R      m
 --R     x
 --R                                                    Type: Expression(Integer)
---E  21
+--E 21
 
---S  22 of 1092
+--S 22 of 1092
 r0:=a*c^5*x^(1+m)/(1+m)+c^4*(b*c+5*a*d)*x^(2+m)/(2+m)+_
      5*c^3*d*(b*c+2*a*d)*x^(3+m)/(3+m)+10*c^2*d^2*(b*c+a*d)*_
      x^(4+m)/(4+m)+5*c*d^3*(2*b*c+a*d)*x^(5+m)/(5+m)+_
@@ -466,9 +466,9 @@ r0:=a*c^5*x^(1+m)/(1+m)+c^4*(b*c+5*a*d)*x^(2+m)/(2+m)+_
 --R      7      6       5        4        3         2
 --R     m  + 28m  + 322m  + 1960m  + 6769m  + 13132m  + 13068m + 5040
 --R                                                    Type: Expression(Integer)
---E  22
+--E 22
 
---S  23 of 1092
+--S 23 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -568,9 +568,9 @@ a0:=integrate(t0,x)
 --R      7      6       5        4        3         2
 --R     m  + 28m  + 322m  + 1960m  + 6769m  + 13132m  + 13068m + 5040
 --R                                         Type: Union(Expression(Integer),...)
---E  23
+--E 23
 
---S  24 of 1092
+--S 24 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -766,19 +766,19 @@ m0:=a0-r0
 --R      7      6       5        4        3         2
 --R     m  + 28m  + 322m  + 1960m  + 6769m  + 13132m  + 13068m + 5040
 --R                                                    Type: Expression(Integer)
---E  24
+--E 24
 
---S  25 of 1092
+--S 25 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  25
+--E 25
 
 )clear all
 
---S  26 of 1092
+--S 26 of 1092
 t0:=x^3*(a+b*x)*(c+d*x)^5
 --R 
 --R
@@ -789,9 +789,9 @@ t0:=x^3*(a+b*x)*(c+d*x)^5
 --R         2 3        3 2  6         3 2       4   5        4       5  4      5 3
 --R   (10a c d  + 10b c d )x  + (10a c d  + 5b c d)x  + (5a c d + b c )x  + a c x
 --R                                                    Type: Polynomial(Integer)
---E  26
+--E 26
 
---S  27 of 1092
+--S 27 of 1092
 r0:=1/4*a*c^5*x^4+1/5*c^4*(b*c+5*a*d)*x^5+5/6*c^3*d*(b*c+2*a*d)*x^6+_
      10/7*c^2*d^2*(b*c+a*d)*x^7+5/8*c*d^3*(2*b*c+a*d)*x^8+_
      1/9*d^4*(5*b*c+a*d)*x^9+1/10*b*d^5*x^10
@@ -810,9 +810,9 @@ r0:=1/4*a*c^5*x^4+1/5*c^4*(b*c+5*a*d)*x^5+5/6*c^3*d*(b*c+2*a*d)*x^6+_
 --R     - a c x
 --R     4
 --R                                          Type: Polynomial(Fraction(Integer))
---E  27
+--E 27
 
---S  28 of 1092
+--S 28 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -829,27 +829,27 @@ a0:=integrate(t0,x)
 --R     - a c x
 --R     4
 --R                                          Type: Polynomial(Fraction(Integer))
---E  28
+--E 28
 
---S  29 of 1092
+--S 29 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                          Type: Polynomial(Fraction(Integer))
---E  29
+--E 29
 
---S  30 of 1092
+--S 30 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                          Type: Polynomial(Fraction(Integer))
---E  30
+--E 30
 
 )clear all
 
---S  31 of 1092
+--S 31 of 1092
 t0:=x^2*(a+b*x)*(c+d*x)^5
 --R 
 --R
@@ -860,9 +860,9 @@ t0:=x^2*(a+b*x)*(c+d*x)^5
 --R         2 3        3 2  5         3 2       4   4        4       5  3      5 2
 --R   (10a c d  + 10b c d )x  + (10a c d  + 5b c d)x  + (5a c d + b c )x  + a c x
 --R                                                    Type: Polynomial(Integer)
---E  31
+--E 31
 
---S  32 of 1092
+--S 32 of 1092
 r0:=-1/6*c^2*(b*c-a*d)*(c+d*x)^6/d^4+1/7*c*(3*b*c-2*a*d)*(c+d*x)^7/d^4-_
      1/8*(3*b*c-a*d)*(c+d*x)^8/d^4+1/9*b*(c+d*x)^9/d^4
 --R 
@@ -883,9 +883,9 @@ r0:=-1/6*c^2*(b*c-a*d)*(c+d*x)^6/d^4+1/7*c*(3*b*c-2*a*d)*(c+d*x)^7/d^4-_
 --R      4
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  32
+--E 32
 
---S  33 of 1092
+--S 33 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -902,9 +902,9 @@ a0:=integrate(t0,x)
 --R     - a c x
 --R     3
 --R                                          Type: Polynomial(Fraction(Integer))
---E  33
+--E 33
 
---S  34 of 1092
+--S 34 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -915,19 +915,19 @@ m0:=a0-r0
 --R                   4
 --R                  d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  34
+--E 34
 
---S  35 of 1092
+--S 35 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  35
+--E 35
 
 )clear all
 
---S  36 of 1092
+--S 36 of 1092
 t0:=x*(a+b*x)*(c+d*x)^5
 --R 
 --R
@@ -938,9 +938,9 @@ t0:=x*(a+b*x)*(c+d*x)^5
 --R         2 3        3 2  4         3 2       4   3        4       5  2      5
 --R   (10a c d  + 10b c d )x  + (10a c d  + 5b c d)x  + (5a c d + b c )x  + a c x
 --R                                                    Type: Polynomial(Integer)
---E  36
+--E 36
 
---S  37 of 1092
+--S 37 of 1092
 r0:=1/6*c*(b*c-a*d)*(c+d*x)^6/d^3-1/7*(2*b*c-a*d)*(c+d*x)^7/d^3+_
      1/8*b*(c+d*x)^8/d^3
 --R 
@@ -961,9 +961,9 @@ r0:=1/6*c*(b*c-a*d)*(c+d*x)^6/d^3-1/7*(2*b*c-a*d)*(c+d*x)^7/d^3+_
 --R      3
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  37
+--E 37
 
---S  38 of 1092
+--S 38 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -980,9 +980,9 @@ a0:=integrate(t0,x)
 --R     - a c x
 --R     2
 --R                                          Type: Polynomial(Fraction(Integer))
---E  38
+--E 38
 
---S  39 of 1092
+--S 39 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -993,19 +993,19 @@ m0:=a0-r0
 --R                  3
 --R                 d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  39
+--E 39
 
---S  40 of 1092
+--S 40 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  40
+--E 40
 
 )clear all
 
---S  41 of 1092
+--S 41 of 1092
 t0:=(a+b*x)*(c+d*x)^5
 --R 
 --R
@@ -1016,9 +1016,9 @@ t0:=(a+b*x)*(c+d*x)^5
 --R           2 3        3 2  3         3 2       4   2        4       5        5
 --R     (10a c d  + 10b c d )x  + (10a c d  + 5b c d)x  + (5a c d + b c )x + a c
 --R                                                    Type: Polynomial(Integer)
---E  41
+--E 41
 
---S  42 of 1092
+--S 42 of 1092
 r0:=-1/6*(b*c-a*d)*(c+d*x)^6/d^2+1/7*b*(c+d*x)^7/d^2
 --R 
 --R
@@ -1038,9 +1038,9 @@ r0:=-1/6*(b*c-a*d)*(c+d*x)^6/d^2+1/7*b*(c+d*x)^7/d^2
 --R      2
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  42
+--E 42
 
---S  43 of 1092
+--S 43 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1056,9 +1056,9 @@ a0:=integrate(t0,x)
 --R        5
 --R     a c x
 --R                                          Type: Polynomial(Fraction(Integer))
---E  43
+--E 43
 
---S  44 of 1092
+--S 44 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -1069,19 +1069,19 @@ m0:=a0-r0
 --R                  2
 --R                 d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  44
+--E 44
 
---S  45 of 1092
+--S 45 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  45
+--E 45
 
 )clear all
 
---S  46 of 1092
+--S 46 of 1092
 t0:=(a+b*x)*(c+d*x)^5/x
 --R 
 --R
@@ -1094,9 +1094,9 @@ t0:=(a+b*x)*(c+d*x)^5/x
 --R  /
 --R     x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  46
+--E 46
 
---S  47 of 1092
+--S 47 of 1092
 r0:=5*a*c^4*d*x+5*a*c^3*d^2*x^2+10/3*a*c^2*d^3*x^3+_
      5/4*a*c*d^4*x^4+1/5*a*d^5*x^5+1/6*b*(c+d*x)^6/d+a*c^5*log(x)
 --R 
@@ -1113,9 +1113,9 @@ r0:=5*a*c^4*d*x+5*a*c^3*d^2*x^2+10/3*a*c^2*d^3*x^3+_
 --R  /
 --R     60d
 --R                                                    Type: Expression(Integer)
---E  47
+--E 47
 
---S  48 of 1092
+--S 48 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1131,9 +1131,9 @@ a0:=integrate(t0,x)
 --R  /
 --R     60
 --R                                         Type: Union(Expression(Integer),...)
---E  48
+--E 48
 
---S  49 of 1092
+--S 49 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -1142,19 +1142,19 @@ m0:=a0-r0
 --R   (4)  - ----
 --R           6d
 --R                                                    Type: Expression(Integer)
---E  49
+--E 49
 
---S  50 of 1092
+--S 50 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  50
+--E 50
 
 )clear all
 
---S  51 of 1092
+--S 51 of 1092
 t0:=(a+b*x)*(c+d*x)^5/x^2
 --R 
 --R
@@ -1168,9 +1168,9 @@ t0:=(a+b*x)*(c+d*x)^5/x^2
 --R      2
 --R     x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  51
+--E 51
 
---S  52 of 1092
+--S 52 of 1092
 r0:=-a*c^5/x+5*c^3*d*(b*c+2*a*d)*x+5*c^2*d^2*(b*c+a*d)*x^2+_
      5/3*c*d^3*(2*b*c+a*d)*x^3+1/4*d^4*(5*b*c+a*d)*x^4+_
      1/5*b*d^5*x^5+c^4*(b*c+5*a*d)*log(x)
@@ -1188,9 +1188,9 @@ r0:=-a*c^5/x+5*c^3*d*(b*c+2*a*d)*x+5*c^2*d^2*(b*c+a*d)*x^2+_
 --R  /
 --R     60x
 --R                                                    Type: Expression(Integer)
---E  52
+--E 52
 
---S  53 of 1092
+--S 53 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1206,27 +1206,27 @@ a0:=integrate(t0,x)
 --R  /
 --R     60x
 --R                                         Type: Union(Expression(Integer),...)
---E  53
+--E 53
 
---S  54 of 1092
+--S 54 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  54
+--E 54
 
---S  55 of 1092
+--S 55 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  55
+--E 55
 
 )clear all
 
---S  56 of 1092
+--S 56 of 1092
 t0:=(a+b*x)*(c+d*x)^5/x^3
 --R 
 --R
@@ -1240,9 +1240,9 @@ t0:=(a+b*x)*(c+d*x)^5/x^3
 --R      3
 --R     x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  56
+--E 56
 
---S  57 of 1092
+--S 57 of 1092
 r0:=-1/2*a*c^5/x^2-c^4*(b*c+5*a*d)/x+10*c^2*d^2*(b*c+a*d)*x+_
      5/2*c*d^3*(2*b*c+a*d)*x^2+1/3*d^4*(5*b*c+a*d)*x^3+_
      1/4*b*d^5*x^4+5*c^3*d*(b*c+2*a*d)*log(x)
@@ -1261,9 +1261,9 @@ r0:=-1/2*a*c^5/x^2-c^4*(b*c+5*a*d)/x+10*c^2*d^2*(b*c+a*d)*x+_
 --R        2
 --R     12x
 --R                                                    Type: Expression(Integer)
---E  57
+--E 57
 
---S  58 of 1092
+--S 58 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1280,27 +1280,27 @@ a0:=integrate(t0,x)
 --R        2
 --R     12x
 --R                                         Type: Union(Expression(Integer),...)
---E  58
+--E 58
 
---S  59 of 1092
+--S 59 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  59
+--E 59
 
---S  60 of 1092
+--S 60 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  60
+--E 60
 
 )clear all
 
---S  61 of 1092
+--S 61 of 1092
 t0:=x*(a+b*x)*(c+d*x)^16
 --R 
 --R
@@ -1329,9 +1329,9 @@ t0:=x*(a+b*x)*(c+d*x)^16
 --R            14 2        15   3         15       16  2      16
 --R     (120a c  d  + 16b c  d)x  + (16a c  d + b c  )x  + a c  x
 --R                                                    Type: Polynomial(Integer)
---E  61
+--E 61
 
---S  62 of 1092
+--S 62 of 1092
 r0:=1/17*c*(b*c-a*d)*(c+d*x)^17/d^3-1/18*(2*b*c-a*d)*(c+d*x)^18/d^3+_
      1/19*b*(c+d*x)^19/d^3
 --R 
@@ -1374,9 +1374,9 @@ r0:=1/17*c*(b*c-a*d)*(c+d*x)^17/d^3-1/18*(2*b*c-a*d)*(c+d*x)^18/d^3+_
 --R      3
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  62
+--E 62
 
---S  63 of 1092
+--S 63 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1411,9 +1411,9 @@ a0:=integrate(t0,x)
 --R     (30a c  d  + 4b c  d)x  + (-- a c  d + - b c  )x  + - a c  x
 --R                                 3          3            2
 --R                                          Type: Polynomial(Fraction(Integer))
---E  63
+--E 63
 
---S  64 of 1092
+--S 64 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -1424,19 +1424,19 @@ m0:=a0-r0
 --R                    3
 --R                   d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  64
+--E 64
 
---S  65 of 1092
+--S 65 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  65
+--E 65
 
 )clear all
 
---S  66 of 1092
+--S 66 of 1092
 t0:=x^2*(a+b*x)*(c+d*x)^16
 --R 
 --R
@@ -1465,9 +1465,9 @@ t0:=x^2*(a+b*x)*(c+d*x)^16
 --R            14 2        15   4         15       16  3      16 2
 --R     (120a c  d  + 16b c  d)x  + (16a c  d + b c  )x  + a c  x
 --R                                                    Type: Polynomial(Integer)
---E  66
+--E 66
 
---S  67 of 1092
+--S 67 of 1092
 r0:=-1/17*c^2*(b*c-a*d)*(c+d*x)^17/d^4+1/18*c*(3*b*c-2*a*d)*(c+d*x)^18/d^4-_
      1/19*(3*b*c-a*d)*(c+d*x)^19/d^4+1/20*b*(c+d*x)^20/d^4
 --R 
@@ -1512,9 +1512,9 @@ r0:=-1/17*c^2*(b*c-a*d)*(c+d*x)^17/d^4+1/18*c*(3*b*c-2*a*d)*(c+d*x)^18/d^4-_
 --R      4
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  67
+--E 67
 
---S  68 of 1092
+--S 68 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1551,9 +1551,9 @@ a0:=integrate(t0,x)
 --R     (24a c  d  + -- b c  d)x  + (4a c  d + - b c  )x  + - a c  x
 --R                   5                        4            3
 --R                                          Type: Polynomial(Fraction(Integer))
---E  68
+--E 68
 
---S  69 of 1092
+--S 69 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -1564,19 +1564,19 @@ m0:=a0-r0
 --R                      4
 --R                     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  69
+--E 69
 
---S  70 of 1092
+--S 70 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  70
+--E 70
 
 )clear all
 
---S  71 of 1092
+--S 71 of 1092
 t0:=x^3*(a+b*x)*(c+d*x)^16
 --R 
 --R
@@ -1605,9 +1605,9 @@ t0:=x^3*(a+b*x)*(c+d*x)^16
 --R            14 2        15   5         15       16  4      16 3
 --R     (120a c  d  + 16b c  d)x  + (16a c  d + b c  )x  + a c  x
 --R                                                    Type: Polynomial(Integer)
---E  71
+--E 71
 
---S  72 of 1092
+--S 72 of 1092
 r0:=1/17*c^3*(b*c-a*d)*(c+d*x)^17/d^5-1/18*c^2*(4*b*c-3*a*d)*(c+d*x)^18/d^5+_
      3/19*c*(2*b*c-a*d)*(c+d*x)^19/d^5-1/20*(4*b*c-a*d)*(c+d*x)^20/d^5+_
      1/21*b*(c+d*x)^21/d^5
@@ -1653,9 +1653,9 @@ r0:=1/17*c^3*(b*c-a*d)*(c+d*x)^17/d^5-1/18*c^2*(4*b*c-3*a*d)*(c+d*x)^18/d^5+_
 --R      5
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  72
+--E 72
 
---S  73 of 1092
+--S 73 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1692,9 +1692,9 @@ a0:=integrate(t0,x)
 --R     (20a c  d  + - b c  d)x  + (-- a c  d + - b c  )x  + - a c  x
 --R                  3               5          5            4
 --R                                          Type: Polynomial(Fraction(Integer))
---E  73
+--E 73
 
---S  74 of 1092
+--S 74 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -1705,28 +1705,28 @@ m0:=a0-r0
 --R                      5
 --R                     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  74
+--E 74
 
---S  75 of 1092
+--S 75 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  75
+--E 75
 
 )clear all
 
---S  76 of 1092
+--S 76 of 1092
 t0:=x^2*(2+x)^5*(2+3*x)
 --R 
 --R
 --R          8      7       6       5       4       3      2
 --R   (1)  3x  + 32x  + 140x  + 320x  + 400x  + 256x  + 64x
 --R                                                    Type: Polynomial(Integer)
---E  76
+--E 76
 
---S  77 of 1092
+--S 77 of 1092
 r0:=1/3*x^3*(2+x)^6
 --R 
 --R
@@ -1734,9 +1734,9 @@ r0:=1/3*x^3*(2+x)^6
 --R   (2)  - x  + 4x  + 20x  + --- x  + 80x  + 64x  + -- x
 --R        3                    3                      3
 --R                                          Type: Polynomial(Fraction(Integer))
---E  77
+--E 77
 
---S  78 of 1092
+--S 78 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1744,36 +1744,36 @@ a0:=integrate(t0,x)
 --R   (3)  - x  + 4x  + 20x  + --- x  + 80x  + 64x  + -- x
 --R        3                    3                      3
 --R                                          Type: Polynomial(Fraction(Integer))
---E  78
+--E 78
 
---S  79 of 1092
+--S 79 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                          Type: Polynomial(Fraction(Integer))
---E  79
+--E 79
 
---S  80 of 1092
+--S 80 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                          Type: Polynomial(Fraction(Integer))
---E  80
+--E 80
 
 )clear all
 
---S  81 of 1092
+--S 81 of 1092
 t0:=x^2*(a+b*x)^n*(c+d*x)^2
 --R 
 --R
 --R          2 4         3    2 2          n
 --R   (1)  (d x  + 2c d x  + c x )(b x + a)
 --R                                                    Type: Expression(Integer)
---E  81
+--E 81
 
---S  82 of 1092
+--S 82 of 1092
 r0:=a^2*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^5*(1+n))-2*a*(b*c-2*a*d)*(b*c-a*d)*_
      (a+b*x)^(2+n)/(b^5*(2+n))+(b^2*c^2-6*a*b*c*d+6*a^2*d^2)*_
      (a+b*x)^(3+n)/(b^5*(3+n))+2*d*(b*c-2*a*d)*(a+b*x)^(4+n)/(b^5*(4+n))+_
@@ -1838,9 +1838,9 @@ r0:=a^2*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^5*(1+n))-2*a*(b*c-2*a*d)*(b*c-a*d)*_
 --R      5 5      5 4      5 3       5 2       5        5
 --R     b n  + 15b n  + 85b n  + 225b n  + 274b n + 120b
 --R                                                    Type: Expression(Integer)
---E  82
+--E 82
 
---S  83 of 1092
+--S 83 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -1898,9 +1898,9 @@ a0:=integrate(t0,x)
 --R      5 5      5 4      5 3       5 2       5        5
 --R     b n  + 15b n  + 85b n  + 225b n  + 274b n + 120b
 --R                                         Type: Union(Expression(Integer),...)
---E  83
+--E 83
 
---S  84 of 1092
+--S 84 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -2009,28 +2009,28 @@ m0:=a0-r0
 --R      5 5      5 4      5 3       5 2       5        5
 --R     b n  + 15b n  + 85b n  + 225b n  + 274b n + 120b
 --R                                                    Type: Expression(Integer)
---E  84
+--E 84
 
---S  85 of 1092
+--S 85 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  85
+--E 85
 
 )clear all
 
---S  86 of 1092
+--S 86 of 1092
 t0:=x*(a+b*x)^n*(c+d*x)^2
 --R 
 --R
 --R          2 3         2    2           n
 --R   (1)  (d x  + 2c d x  + c x)(b x + a)
 --R                                                    Type: Expression(Integer)
---E  86
+--E 86
 
---S  87 of 1092
+--S 87 of 1092
 r0:=-a*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^4*(1+n))+(b*c-3*a*d)*(b*c-a*d)*_
      (a+b*x)^(2+n)/(b^4*(2+n))+d*(2*b*c-3*a*d)*(a+b*x)^(3+n)/_
      (b^4*(3+n))+d^2*(a+b*x)^(4+n)/(b^4*(4+n))
@@ -2070,9 +2070,9 @@ r0:=-a*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^4*(1+n))+(b*c-3*a*d)*(b*c-a*d)*_
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                                    Type: Expression(Integer)
---E  87
+--E 87
 
---S  88 of 1092
+--S 88 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -2115,9 +2115,9 @@ a0:=integrate(t0,x)
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                         Type: Union(Expression(Integer),...)
---E  88
+--E 88
 
---S  89 of 1092
+--S 89 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -2190,28 +2190,28 @@ m0:=a0-r0
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                                    Type: Expression(Integer)
---E  89
+--E 89
 
---S  90 of 1092
+--S 90 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  90
+--E 90
 
 )clear all
 
---S  91 of 1092
+--S 91 of 1092
 t0:=(a+b*x)^n*(c+d*x)^2
 --R 
 --R
 --R          2 2             2          n
 --R   (1)  (d x  + 2c d x + c )(b x + a)
 --R                                                    Type: Expression(Integer)
---E  91
+--E 91
 
---S  92 of 1092
+--S 92 of 1092
 r0:=(b*c-a*d)^2*(a+b*x)^(1+n)/(b^3*(1+n))+2*d*(b*c-a*d)*(a+b*x)^(2+n)/_
      (b^3*(2+n))+d^2*(a+b*x)^(3+n)/(b^3*(3+n))
 --R 
@@ -2238,9 +2238,9 @@ r0:=(b*c-a*d)^2*(a+b*x)^(1+n)/(b^3*(1+n))+2*d*(b*c-a*d)*(a+b*x)^(2+n)/_
 --R      3 3     3 2      3      3
 --R     b n  + 6b n  + 11b n + 6b
 --R                                                    Type: Expression(Integer)
---E  92
+--E 92
 
---S  93 of 1092
+--S 93 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -2263,9 +2263,9 @@ a0:=integrate(t0,x)
 --R      3 3     3 2      3      3
 --R     b n  + 6b n  + 11b n + 6b
 --R                                         Type: Union(Expression(Integer),...)
---E  93
+--E 93
 
---S  94 of 1092
+--S 94 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -2303,19 +2303,19 @@ m0:=a0-r0
 --R      3 3     3 2      3      3
 --R     b n  + 6b n  + 11b n + 6b
 --R                                                    Type: Expression(Integer)
---E  94
+--E 94
 
---S  95 of 1092
+--S 95 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  95
+--E 95
 
 )clear all
 
---S  96 of 1092
+--S 96 of 1092
 t0:=(a+b*x)^n*(c+d*x)^2/x
 --R 
 --R
@@ -2324,29 +2324,29 @@ t0:=(a+b*x)^n*(c+d*x)^2/x
 --R   (1)  ------------------------------
 --R                       x
 --R                                                    Type: Expression(Integer)
---E  96
+--E 96
 
---S  97 of 1092
+--S 97 of 1092
 --r0:=-d*(a*d-b*c*(3+n))*(a+b*x)^(1+n)/(b^2*(1+n)*(2+n))+_
 --     d*(a+b*x)^(1+n)*(c+d*x)/(b*(2+n))-c^2*(a+b*x)^(1+n)*_
 --     hypergeometric(1,1+n,2+n,(a+b*x)/a)/(a*(1+n))
---E  97
+--E 97
 
---S  98 of 1092
+--S 98 of 1092
 --a0:=integrate(t0,x)
---E  98
+--E 98
 
---S  99 of 1092
+--S 99 of 1092
 --m0:=a0-r0
---E  99
+--E 99
 
---S  100 of 1092
+--S 100 of 1092
 --d0:=D(m0,x)
---E  100
+--E 100
 
 )clear all
 
---S  101 of 1092
+--S 101 of 1092
 t0:=x^m*(a+b*x)^2*(c+d*x)^5
 --R 
 --R
@@ -2363,9 +2363,9 @@ t0:=x^m*(a+b*x)^2*(c+d*x)^5
 --R      m
 --R     x
 --R                                                    Type: Expression(Integer)
---E  101
+--E 101
 
---S  102 of 1092
+--S 102 of 1092
 r0:=a^2*c^5*x^(1+m)/(1+m)+a*c^4*(2*b*c+5*a*d)*x^(2+m)/(2+m)+_
      c^3*(b^2*c^2+10*a*b*c*d+10*a^2*d^2)*x^(3+m)/(3+m)+_
      5*c^2*d*(b^2*c^2+4*a*b*c*d+2*a^2*d^2)*x^(4+m)/(4+m)+_
@@ -2531,9 +2531,9 @@ r0:=a^2*c^5*x^(1+m)/(1+m)+a*c^4*(2*b*c+5*a*d)*x^(2+m)/(2+m)+_
 --R      8      7       6        5         4         3          2
 --R     m  + 36m  + 546m  + 4536m  + 22449m  + 67284m  + 118124m  + 109584m + 40320
 --R                                                    Type: Expression(Integer)
---E  102
+--E 102
 
---S  103 of 1092
+--S 103 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -2699,9 +2699,9 @@ a0:=integrate(t0,x)
 --R      8      7       6        5         4         3          2
 --R     m  + 36m  + 546m  + 4536m  + 22449m  + 67284m  + 118124m  + 109584m + 40320
 --R                                         Type: Union(Expression(Integer),...)
---E  103
+--E 103
 
---S  104 of 1092
+--S 104 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -3023,19 +3023,19 @@ m0:=a0-r0
 --R      8      7       6        5         4         3          2
 --R     m  + 36m  + 546m  + 4536m  + 22449m  + 67284m  + 118124m  + 109584m + 40320
 --R                                                    Type: Expression(Integer)
---E  104
+--E 104
 
---S  105 of 1092
+--S 105 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  105
+--E 105
 
 )clear all
 
---S  106 of 1092
+--S 106 of 1092
 t0:=x^3*(a+b*x)^2*(c+d*x)^16
 --R 
 --R
@@ -3088,9 +3088,9 @@ t0:=x^3*(a+b*x)^2*(c+d*x)^16
 --R          2 14 2          15     2 16  5       2 15          16  4    2 16 3
 --R     (120a c  d  + 32a b c  d + b c  )x  + (16a c  d + 2a b c  )x  + a c  x
 --R                                                    Type: Polynomial(Integer)
---E  106
+--E 106
 
---S  107 of 1092
+--S 107 of 1092
 r0:=-1/17*c^3*(b*c-a*d)^2*(c+d*x)^17/d^6+1/18*c^2*(5*b*c-3*a*d)*_
      (b*c-a*d)*(c+d*x)^18/d^6-1/19*c*(10*b^2*c^2-12*a*b*c*d+_
      3*a^2*d^2)*(c+d*x)^19/d^6+1/20*(10*b^2*c^2-8*a*b*c*d+a^2*d^2)*_
@@ -3169,9 +3169,9 @@ r0:=-1/17*c^3*(b*c-a*d)^2*(c+d*x)^17/d^6+1/18*c^2*(5*b*c-3*a*d)*_
 --R      6
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  107
+--E 107
 
---S  108 of 1092
+--S 108 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -3239,9 +3239,9 @@ a0:=integrate(t0,x)
 --R   (20a c  d  + -- a b c  d + - b c  )x  + (-- a c  d + - a b c  )x  + - a c  x
 --R                 3            6              5          5              4
 --R                                          Type: Polynomial(Fraction(Integer))
---E  108
+--E 108
 
---S  109 of 1092
+--S 109 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -3252,19 +3252,19 @@ m0:=a0-r0
 --R                               6
 --R                              d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  109
+--E 109
 
---S  110 of 1092
+--S 110 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  110
+--E 110
 
 )clear all
 
---S  111 of 1092
+--S 111 of 1092
 t0:=x^2*(a+b*x)^2*(c+d*x)^16
 --R 
 --R
@@ -3317,9 +3317,9 @@ t0:=x^2*(a+b*x)^2*(c+d*x)^16
 --R          2 14 2          15     2 16  4       2 15          16  3    2 16 2
 --R     (120a c  d  + 32a b c  d + b c  )x  + (16a c  d + 2a b c  )x  + a c  x
 --R                                                    Type: Polynomial(Integer)
---E  111
+--E 111
 
---S  112 of 1092
+--S 112 of 1092
 r0:=1/17*c^2*(b*c-a*d)^2*(c+d*x)^17/d^5-1/9*c*(b*c-a*d)*(2*b*c-a*d)*_
      (c+d*x)^18/d^5+1/19*(6*b^2*c^2-6*a*b*c*d+a^2*d^2)*(c+d*x)^19/d^5-_
      1/10*b*(2*b*c-a*d)*(c+d*x)^20/d^5+1/21*b^2*(c+d*x)^21/d^5
@@ -3394,9 +3394,9 @@ r0:=1/17*c^2*(b*c-a*d)^2*(c+d*x)^17/d^5-1/9*c*(b*c-a*d)*(2*b*c-a*d)*_
 --R      5
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  112
+--E 112
 
---S  113 of 1092
+--S 113 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -3462,9 +3462,9 @@ a0:=integrate(t0,x)
 --R   (24a c  d  + -- a b c  d + - b c  )x  + (4a c  d + - a b c  )x  + - a c  x
 --R                 5            5                       2              3
 --R                                          Type: Polynomial(Fraction(Integer))
---E  113
+--E 113
 
---S  114 of 1092
+--S 114 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -3475,19 +3475,19 @@ m0:=a0-r0
 --R                               5
 --R                              d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  114
+--E 114
 
---S  115 of 1092
+--S 115 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  115
+--E 115
 
 )clear all
 
---S  116 of 1092
+--S 116 of 1092
 t0:=x*(a+b*x)^2*(c+d*x)^16
 --R 
 --R
@@ -3540,9 +3540,9 @@ t0:=x*(a+b*x)^2*(c+d*x)^16
 --R          2 14 2          15     2 16  3       2 15          16  2    2 16
 --R     (120a c  d  + 32a b c  d + b c  )x  + (16a c  d + 2a b c  )x  + a c  x
 --R                                                    Type: Polynomial(Integer)
---E  116
+--E 116
 
---S  117 of 1092
+--S 117 of 1092
 r0:=-1/17*c*(b*c-a*d)^2*(c+d*x)^17/d^4+1/18*(b*c-a*d)*(3*b*c-a*d)*_
      (c+d*x)^18/d^4-1/19*b*(3*b*c-2*a*d)*(c+d*x)^19/d^4+_
      1/20*b^2*(c+d*x)^20/d^4
@@ -3616,9 +3616,9 @@ r0:=-1/17*c*(b*c-a*d)^2*(c+d*x)^17/d^4+1/18*(b*c-a*d)*(3*b*c-a*d)*_
 --R      4
 --R     d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  117
+--E 117
 
---S  118 of 1092
+--S 118 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -3683,9 +3683,9 @@ a0:=integrate(t0,x)
 --R   (30a c  d  + 8a b c  d + - b c  )x  + (-- a c  d + - a b c  )x  + - a c  x
 --R                            4              3          3              2
 --R                                          Type: Polynomial(Fraction(Integer))
---E  118
+--E 118
 
---S  119 of 1092
+--S 119 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -3696,28 +3696,28 @@ m0:=a0-r0
 --R                             4
 --R                            d
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  119
+--E 119
 
---S  120 of 1092
+--S 120 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                Type: Fraction(Polynomial(Fraction(Integer)))
---E  120
+--E 120
 
 )clear all
 
---S  121 of 1092
+--S 121 of 1092
 t0:=x^2*(a+b*x)^n*(c+d*x)^3
 --R 
 --R
 --R          3 5       2 4     2   3    3 2          n
 --R   (1)  (d x  + 3c d x  + 3c d x  + c x )(b x + a)
 --R                                                    Type: Expression(Integer)
---E  121
+--E 121
 
---S  122 of 1092
+--S 122 of 1092
 r0:=a^2*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^6*(1+n))-a*(2*b*c-5*a*d)*_
      (b*c-a*d)^2*(a+b*x)^(2+n)/(b^6*(2+n))+(b*c-a*d)*_
      (b^2*c^2-8*a*b*c*d+10*a^2*d^2)*(a+b*x)^(3+n)/(b^6*(3+n))+_
@@ -3828,9 +3828,9 @@ r0:=a^2*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^6*(1+n))-a*(2*b*c-5*a*d)*_
 --R      6 6      6 5       6 4       6 3        6 2        6        6
 --R     b n  + 21b n  + 175b n  + 735b n  + 1624b n  + 1764b n + 720b
 --R                                                    Type: Expression(Integer)
---E  122
+--E 122
 
---S  123 of 1092
+--S 123 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -3921,9 +3921,9 @@ a0:=integrate(t0,x)
 --R      6 6      6 5       6 4       6 3        6 2        6        6
 --R     b n  + 21b n  + 175b n  + 735b n  + 1624b n  + 1764b n + 720b
 --R                                         Type: Union(Expression(Integer),...)
---E  123
+--E 123
 
---S  124 of 1092
+--S 124 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -4113,28 +4113,28 @@ m0:=a0-r0
 --R      6 6      6 5       6 4       6 3        6 2        6        6
 --R     b n  + 21b n  + 175b n  + 735b n  + 1624b n  + 1764b n + 720b
 --R                                                    Type: Expression(Integer)
---E  124
+--E 124
 
---S  125 of 1092
+--S 125 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  125
+--E 125
 
 )clear all
 
---S  126 of 1092
+--S 126 of 1092
 t0:=x*(a+b*x)^n*(c+d*x)^3
 --R 
 --R
 --R          3 4       2 3     2   2    3           n
 --R   (1)  (d x  + 3c d x  + 3c d x  + c x)(b x + a)
 --R                                                    Type: Expression(Integer)
---E  126
+--E 126
 
---S  127 of 1092
+--S 127 of 1092
 r0:=-a*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^5*(1+n))+(b*c-4*a*d)*(b*c-a*d)^2*_
      (a+b*x)^(2+n)/(b^5*(2+n))+3*d*(b*c-2*a*d)*(b*c-a*d)*(a+b*x)^(3+n)/_
      (b^5*(3+n))+d^2*(3*b*c-4*a*d)*(a+b*x)^(4+n)/(b^5*(4+n))+_
@@ -4208,9 +4208,9 @@ r0:=-a*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^5*(1+n))+(b*c-4*a*d)*(b*c-a*d)^2*_
 --R      5 5      5 4      5 3       5 2       5        5
 --R     b n  + 15b n  + 85b n  + 225b n  + 274b n + 120b
 --R                                                    Type: Expression(Integer)
---E  127
+--E 127
 
---S  128 of 1092
+--S 128 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4277,9 +4277,9 @@ a0:=integrate(t0,x)
 --R      5 5      5 4      5 3       5 2       5        5
 --R     b n  + 15b n  + 85b n  + 225b n  + 274b n + 120b
 --R                                         Type: Union(Expression(Integer),...)
---E  128
+--E 128
 
---S  129 of 1092
+--S 129 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -4412,28 +4412,28 @@ m0:=a0-r0
 --R      5 5      5 4      5 3       5 2       5        5
 --R     b n  + 15b n  + 85b n  + 225b n  + 274b n + 120b
 --R                                                    Type: Expression(Integer)
---E  129
+--E 129
 
---S  130 of 1092
+--S 130 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  130
+--E 130
 
 )clear all
 
---S  131 of 1092
+--S 131 of 1092
 t0:=(a+b*x)^n*(c+d*x)^3
 --R 
 --R
 --R          3 3       2 2     2       3          n
 --R   (1)  (d x  + 3c d x  + 3c d x + c )(b x + a)
 --R                                                    Type: Expression(Integer)
---E  131
+--E 131
 
---S  132 of 1092
+--S 132 of 1092
 r0:=(b*c-a*d)^3*(a+b*x)^(1+n)/(b^4*(1+n))+3*d*(b*c-a*d)^2*_
      (a+b*x)^(2+n)/(b^4*(2+n))+3*d^2*(b*c-a*d)*(a+b*x)^(3+n)/_
      (b^4*(3+n))+d^3*(a+b*x)^(4+n)/(b^4*(4+n))
@@ -4479,9 +4479,9 @@ r0:=(b*c-a*d)^3*(a+b*x)^(1+n)/(b^4*(1+n))+3*d*(b*c-a*d)^2*_
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                                    Type: Expression(Integer)
---E  132
+--E 132
 
---S  133 of 1092
+--S 133 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4530,9 +4530,9 @@ a0:=integrate(t0,x)
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                         Type: Union(Expression(Integer),...)
---E  133
+--E 133
 
---S  134 of 1092
+--S 134 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -4620,19 +4620,19 @@ m0:=a0-r0
 --R      4 4      4 3      4 2      4       4
 --R     b n  + 10b n  + 35b n  + 50b n + 24b
 --R                                                    Type: Expression(Integer)
---E  134
+--E 134
 
---S  135 of 1092
+--S 135 of 1092
 d0:=normalize m0
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  135
+--E 135
 
 )clear all
 
---S  136 of 1092
+--S 136 of 1092
 t0:=(a+b*x)^n*(c+d*x)^3/x
 --R 
 --R
@@ -4641,30 +4641,30 @@ t0:=(a+b*x)^n*(c+d*x)^3/x
 --R   (1)  ----------------------------------------
 --R                            x
 --R                                                    Type: Expression(Integer)
---E  136
+--E 136
 
---S  137 of 1092
+--S 137 of 1092
 --r0:=3*c^2*d*(a+b*x)^(1+n)/(b*(1+n))-3*a*c*d^2*(a+b*x)^(1+n)/(b^2*(1+n))+_
 --     a^2*d^3*(a+b*x)^(1+n)/(b^3*(1+n))+3*c*d^2*(a+b*x)^(2+n)/(b^2*(2+n))-_
 --     2*a*d^3*(a+b*x)^(2+n)/(b^3*(2+n))+d^3*(a+b*x)^(3+n)/(b^3*(3+n))-_
 --     c^3*(a+b*x)^(1+n)*hypergeometric(1,1+n,2+n,(a+b*x)/a)/(a*(1+n))
---E  137
+--E 137
 
---S  138 of 1092
+--S 138 of 1092
 --a0:=integrate(t0,x)
---E  138
+--E 138
 
---S  139 of 1092
+--S 139 of 1092
 --m0:=a0-r0
---E  139
+--E 139
 
---S  140 of 1092
+--S 140 of 1092
 --d0:=D(m0,x)
---E  140
+--E 140
 
 )clear all
 
---S  141 of 1092
+--S 141 of 1092
 t0:=x^m*(c+d*x)/(a+b*x)
 --R 
 --R
@@ -4673,28 +4673,28 @@ t0:=x^m*(c+d*x)/(a+b*x)
 --R   (1)  -----------
 --R          b x + a
 --R                                                    Type: Expression(Integer)
---E  141
+--E 141
 
---S  142 of 1092
+--S 142 of 1092
 --r0:=d*x^(1+m)/(b*(1+m))+(b*c-a*d)*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,-b*x/a)/(a*b*(1+m))
---E  142
+--E 142
 
---S  143 of 1092
+--S 143 of 1092
 --a0:=integrate(t0,x)
---E  143
+--E 143
 
---S  144 of 1092
+--S 144 of 1092
 --m0:=a0-r0
---E  144
+--E 144
 
---S  145 of 1092
+--S 145 of 1092
 --d0:=D(m0,x)
---E  145
+--E 145
 
 )clear all
 
---S  146 of 1092
+--S 146 of 1092
 t0:=x^4*(c+d*x)/(a+b*x)
 --R 
 --R
@@ -4703,9 +4703,9 @@ t0:=x^4*(c+d*x)/(a+b*x)
 --R   (1)  -----------
 --R          b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  146
+--E 146
 
---S  147 of 1092
+--S 147 of 1092
 r0:=-a^3*(b*c-a*d)*x/b^5+1/2*a^2*(b*c-a*d)*x^2/b^4-1/3*a*(b*c-a*d)*x^3/b^3+_
      1/4*(b*c-a*d)*x^4/b^2+1/5*d*x^5/b+a^4*(b*c-a*d)*log(a+b*x)/b^6
 --R 
@@ -4720,9 +4720,9 @@ r0:=-a^3*(b*c-a*d)*x/b^5+1/2*a^2*(b*c-a*d)*x^2/b^4-1/3*a*(b*c-a*d)*x^3/b^3+_
 --R        6
 --R     60b
 --R                                                    Type: Expression(Integer)
---E  147
+--E 147
 
---S  148 of 1092
+--S 148 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4736,27 +4736,27 @@ a0:=integrate(t0,x)
 --R        6
 --R     60b
 --R                                         Type: Union(Expression(Integer),...)
---E  148
+--E 148
 
---S  149 of 1092
+--S 149 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  149
+--E 149
 
---S  150 of 1092
+--S 150 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  150
+--E 150
 
 )clear all
 
---S  151 of 1092
+--S 151 of 1092
 t0:=x^3*(c+d*x)/(a+b*x)
 --R 
 --R
@@ -4765,9 +4765,9 @@ t0:=x^3*(c+d*x)/(a+b*x)
 --R   (1)  -----------
 --R          b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  151
+--E 151
 
---S  152 of 1092
+--S 152 of 1092
 r0:=a^2*(b*c-a*d)*x/b^4-1/2*a*(b*c-a*d)*x^2/b^3+1/3*(b*c-a*d)*x^3/b^2+_
      1/4*d*x^4/b-a^3*(b*c-a*d)*log(a+b*x)/b^5
 --R 
@@ -4782,9 +4782,9 @@ r0:=a^2*(b*c-a*d)*x/b^4-1/2*a*(b*c-a*d)*x^2/b^3+1/3*(b*c-a*d)*x^3/b^2+_
 --R        5
 --R     12b
 --R                                                    Type: Expression(Integer)
---E  152
+--E 152
 
---S  153 of 1092
+--S 153 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4798,27 +4798,27 @@ a0:=integrate(t0,x)
 --R        5
 --R     12b
 --R                                         Type: Union(Expression(Integer),...)
---E  153
+--E 153
 
---S  154 of 1092
+--S 154 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  154
+--E 154
 
---S  155 of 1092
+--S 155 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  155
+--E 155
 
 )clear all
 
---S  156 of 1092
+--S 156 of 1092
 t0:=x^2*(c+d*x)/(a+b*x)
 --R 
 --R
@@ -4827,9 +4827,9 @@ t0:=x^2*(c+d*x)/(a+b*x)
 --R   (1)  -----------
 --R          b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  156
+--E 156
 
---S  157 of 1092
+--S 157 of 1092
 r0:=-a*(b*c-a*d)*x/b^3+1/2*(b*c-a*d)*x^2/b^2+1/3*d*x^3/b+_
      a^2*(b*c-a*d)*log(a+b*x)/b^4
 --R 
@@ -4844,9 +4844,9 @@ r0:=-a*(b*c-a*d)*x/b^3+1/2*(b*c-a*d)*x^2/b^2+1/3*d*x^3/b+_
 --R       4
 --R     6b
 --R                                                    Type: Expression(Integer)
---E  157
+--E 157
 
---S  158 of 1092
+--S 158 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4860,27 +4860,27 @@ a0:=integrate(t0,x)
 --R       4
 --R     6b
 --R                                         Type: Union(Expression(Integer),...)
---E  158
+--E 158
 
---S  159 of 1092
+--S 159 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  159
+--E 159
 
---S  160 of 1092
+--S 160 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  160
+--E 160
 
 )clear all
 
---S  161 of 1092
+--S 161 of 1092
 t0:=x*(c+d*x)/(a+b*x)
 --R 
 --R
@@ -4889,9 +4889,9 @@ t0:=x*(c+d*x)/(a+b*x)
 --R   (1)  ----------
 --R          b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  161
+--E 161
 
---S  162 of 1092
+--S 162 of 1092
 r0:=(b*c-a*d)*x/b^2+1/2*d*x^2/b-a*(b*c-a*d)*log(a+b*x)/b^3
 --R 
 --R
@@ -4901,9 +4901,9 @@ r0:=(b*c-a*d)*x/b^2+1/2*d*x^2/b-a*(b*c-a*d)*log(a+b*x)/b^3
 --R                                     3
 --R                                   2b
 --R                                                    Type: Expression(Integer)
---E  162
+--E 162
 
---S  163 of 1092
+--S 163 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4913,27 +4913,27 @@ a0:=integrate(t0,x)
 --R                                     3
 --R                                   2b
 --R                                         Type: Union(Expression(Integer),...)
---E  163
+--E 163
 
---S  164 of 1092
+--S 164 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  164
+--E 164
 
---S  165 of 1092
+--S 165 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  165
+--E 165
 
 )clear all
 
---S  166 of 1092
+--S 166 of 1092
 t0:=(c+d*x)/(a+b*x)
 --R 
 --R
@@ -4941,9 +4941,9 @@ t0:=(c+d*x)/(a+b*x)
 --R   (1)  -------
 --R        b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  166
+--E 166
 
---S  167 of 1092
+--S 167 of 1092
 r0:=d*x/b+(b*c-a*d)*log(a+b*x)/b^2
 --R 
 --R
@@ -4952,9 +4952,9 @@ r0:=d*x/b+(b*c-a*d)*log(a+b*x)/b^2
 --R                         2
 --R                        b
 --R                                                    Type: Expression(Integer)
---E  167
+--E 167
 
---S  168 of 1092
+--S 168 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4963,27 +4963,27 @@ a0:=integrate(t0,x)
 --R                         2
 --R                        b
 --R                                         Type: Union(Expression(Integer),...)
---E  168
+--E 168
 
---S  169 of 1092
+--S 169 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  169
+--E 169
 
---S  170 of 1092
+--S 170 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  170
+--E 170
 
 )clear all
 
---S  171 of 1092
+--S 171 of 1092
 t0:=(c+d*x)/(x*(a+b*x))
 --R 
 --R
@@ -4992,9 +4992,9 @@ t0:=(c+d*x)/(x*(a+b*x))
 --R           2
 --R        b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  171
+--E 171
 
---S  172 of 1092
+--S 172 of 1092
 r0:=c*log(x)/a-(b*c-a*d)*log(a+b*x)/(a*b)
 --R 
 --R
@@ -5002,9 +5002,9 @@ r0:=c*log(x)/a-(b*c-a*d)*log(a+b*x)/(a*b)
 --R   (2)  ------------------------------------
 --R                         a b
 --R                                                    Type: Expression(Integer)
---E  172
+--E 172
 
---S  173 of 1092
+--S 173 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5012,27 +5012,27 @@ a0:=integrate(t0,x)
 --R   (3)  ------------------------------------
 --R                         a b
 --R                                         Type: Union(Expression(Integer),...)
---E  173
+--E 173
 
---S  174 of 1092
+--S 174 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  174
+--E 174
 
---S  175 of 1092
+--S 175 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  175
+--E 175
 
 )clear all
 
---S  176 of 1092
+--S 176 of 1092
 t0:=(c+d*x)/(x^2*(a+b*x))
 --R 
 --R
@@ -5041,9 +5041,9 @@ t0:=(c+d*x)/(x^2*(a+b*x))
 --R           3      2
 --R        b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  176
+--E 176
 
---S  177 of 1092
+--S 177 of 1092
 r0:=-c/(a*x)-(b*c-a*d)*log(x)/a^2+(b*c-a*d)*log(a+b*x)/a^2
 --R 
 --R
@@ -5052,9 +5052,9 @@ r0:=-c/(a*x)-(b*c-a*d)*log(x)/a^2+(b*c-a*d)*log(a+b*x)/a^2
 --R                                   2
 --R                                  a x
 --R                                                    Type: Expression(Integer)
---E  177
+--E 177
 
---S  178 of 1092
+--S 178 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5063,27 +5063,27 @@ a0:=integrate(t0,x)
 --R                                   2
 --R                                  a x
 --R                                         Type: Union(Expression(Integer),...)
---E  178
+--E 178
 
---S  179 of 1092
+--S 179 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  179
+--E 179
 
---S  180 of 1092
+--S 180 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  180
+--E 180
 
 )clear all
 
---S  181 of 1092
+--S 181 of 1092
 t0:=(c+d*x)/(x^3*(a+b*x))
 --R 
 --R
@@ -5092,9 +5092,9 @@ t0:=(c+d*x)/(x^3*(a+b*x))
 --R           4      3
 --R        b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  181
+--E 181
 
---S  182 of 1092
+--S 182 of 1092
 r0:=-1/2*c/(a*x^2)+(b*c-a*d)/(a^2*x)+b*(b*c-a*d)*log(x)/a^3-_
      b*(b*c-a*d)*log(a+b*x)/a^3
 --R 
@@ -5109,9 +5109,9 @@ r0:=-1/2*c/(a*x^2)+(b*c-a*d)/(a^2*x)+b*(b*c-a*d)*log(x)/a^3-_
 --R       3 2
 --R     2a x
 --R                                                    Type: Expression(Integer)
---E  182
+--E 182
 
---S  183 of 1092
+--S 183 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5125,27 +5125,27 @@ a0:=integrate(t0,x)
 --R       3 2
 --R     2a x
 --R                                         Type: Union(Expression(Integer),...)
---E  183
+--E 183
 
---S  184 of 1092
+--S 184 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  184
+--E 184
 
---S  185 of 1092
+--S 185 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  185
+--E 185
 
 )clear all
 
---S  186 of 1092
+--S 186 of 1092
 t0:=(c+d*x)/(x^4*(a+b*x))
 --R 
 --R
@@ -5154,9 +5154,9 @@ t0:=(c+d*x)/(x^4*(a+b*x))
 --R           5      4
 --R        b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  186
+--E 186
 
---S  187 of 1092
+--S 187 of 1092
 r0:=-1/3*c/(a*x^3)+1/2*(b*c-a*d)/(a^2*x^2)-b*(b*c-a*d)/(a^3*x)-_
      b^2*(b*c-a*d)*log(x)/a^4+b^2*(b*c-a*d)*log(a+b*x)/a^4
 --R 
@@ -5171,9 +5171,9 @@ r0:=-1/3*c/(a*x^3)+1/2*(b*c-a*d)/(a^2*x^2)-b*(b*c-a*d)/(a^3*x)-_
 --R       4 3
 --R     6a x
 --R                                                    Type: Expression(Integer)
---E  187
+--E 187
 
---S  188 of 1092
+--S 188 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5187,27 +5187,27 @@ a0:=integrate(t0,x)
 --R       4 3
 --R     6a x
 --R                                         Type: Union(Expression(Integer),...)
---E  188
+--E 188
 
---S  189 of 1092
+--S 189 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  189
+--E 189
 
---S  190 of 1092
+--S 190 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  190
+--E 190
 
 )clear all
 
---S  191 of 1092
+--S 191 of 1092
 t0:=(c+d*x)/(x^5*(a+b*x))
 --R 
 --R
@@ -5216,9 +5216,9 @@ t0:=(c+d*x)/(x^5*(a+b*x))
 --R           6      5
 --R        b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  191
+--E 191
 
---S  192 of 1092
+--S 192 of 1092
 r0:=-1/4*c/(a*x^4)+1/3*(b*c-a*d)/(a^2*x^3)-1/2*b*(b*c-a*d)/(a^3*x^2)+_
      b^2*(b*c-a*d)/(a^4*x)+b^3*(b*c-a*d)*log(x)/a^5-_
      b^3*(b*c-a*d)*log(a+b*x)/a^5
@@ -5234,9 +5234,9 @@ r0:=-1/4*c/(a*x^4)+1/3*(b*c-a*d)/(a^2*x^3)-1/2*b*(b*c-a*d)/(a^3*x^2)+_
 --R        5 4
 --R     12a x
 --R                                                    Type: Expression(Integer)
---E  192
+--E 192
 
---S  193 of 1092
+--S 193 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5250,27 +5250,27 @@ a0:=integrate(t0,x)
 --R        5 4
 --R     12a x
 --R                                         Type: Union(Expression(Integer),...)
---E  193
+--E 193
 
---S  194 of 1092
+--S 194 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  194
+--E 194
 
---S  195 of 1092
+--S 195 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  195
+--E 195
 
 )clear all
 
---S  196 of 1092
+--S 196 of 1092
 t0:=x^m*(c+d*x)^2/(a+b*x)
 --R 
 --R
@@ -5279,29 +5279,29 @@ t0:=x^m*(c+d*x)^2/(a+b*x)
 --R   (1)  ----------------------
 --R                b x + a
 --R                                                    Type: Expression(Integer)
---E  196
+--E 196
 
---S  197 of 1092
+--S 197 of 1092
 --r0:=-d*(a*d*(2+m)-b*c*(3+m))*x^(1+m)/(b^2*(1+m)*(2+m))+_
 --     d*x^(1+m)*(c+d*x)/(b*(2+m))+(b*c-a*d)^2*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,-b*x/a)/(a*b^2*(1+m))
---E  197
+--E 197
 
---S  198 of 1092
+--S 198 of 1092
 --a0:=integrate(t0,x)
---E  198
+--E 198
 
---S  199 of 1092
+--S 199 of 1092
 --m0:=a0-r0
---E  199
+--E 199
 
---S  200 of 1092
+--S 200 of 1092
 --d0:=D(m0,x)
---E  200
+--E 200
 
 )clear all
 
---S  201 of 1092
+--S 201 of 1092
 t0:=x^4*(c+d*x)^2/(a+b*x)
 --R 
 --R
@@ -5310,9 +5310,9 @@ t0:=x^4*(c+d*x)^2/(a+b*x)
 --R   (1)  ---------------------
 --R               b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  201
+--E 201
 
---S  202 of 1092
+--S 202 of 1092
 r0:=-a^3*(b*c-a*d)^2*x/b^6+1/2*a^2*(b*c-a*d)^2*x^2/b^5-_
      1/3*a*(b*c-a*d)^2*x^3/b^4+1/4*(b*c-a*d)^2*x^4/b^3+_
      1/5*d*(2*b*c-a*d)*x^5/b^2+1/6*d^2*x^6/b+a^4*(b*c-a*d)^2*log(a+b*x)/b^7
@@ -5334,9 +5334,9 @@ r0:=-a^3*(b*c-a*d)^2*x/b^6+1/2*a^2*(b*c-a*d)^2*x^2/b^5-_
 --R        7
 --R     60b
 --R                                                    Type: Expression(Integer)
---E  202
+--E 202
 
---S  203 of 1092
+--S 203 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5356,27 +5356,27 @@ a0:=integrate(t0,x)
 --R        7
 --R     60b
 --R                                         Type: Union(Expression(Integer),...)
---E  203
+--E 203
 
---S  204 of 1092
+--S 204 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  204
+--E 204
 
---S  205 of 1092
+--S 205 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  205
+--E 205
 
 )clear all
 
---S  206 of 1092
+--S 206 of 1092
 t0:=x^3*(c+d*x)^2/(a+b*x)
 --R 
 --R
@@ -5385,9 +5385,9 @@ t0:=x^3*(c+d*x)^2/(a+b*x)
 --R   (1)  ---------------------
 --R               b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  206
+--E 206
 
---S  207 of 1092
+--S 207 of 1092
 r0:=a^2*(b*c-a*d)^2*x/b^5-1/2*a*(b*c-a*d)^2*x^2/b^4+_
      1/3*(b*c-a*d)^2*x^3/b^3+1/4*d*(2*b*c-a*d)*x^4/b^2+1/5*d^2*x^5/b-_
      a^3*(b*c-a*d)^2*log(a+b*x)/b^6
@@ -5406,9 +5406,9 @@ r0:=a^2*(b*c-a*d)^2*x/b^5-1/2*a*(b*c-a*d)^2*x^2/b^4+_
 --R        6
 --R     60b
 --R                                                    Type: Expression(Integer)
---E  207
+--E 207
 
---S  208 of 1092
+--S 208 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5425,27 +5425,27 @@ a0:=integrate(t0,x)
 --R        6
 --R     60b
 --R                                         Type: Union(Expression(Integer),...)
---E  208
+--E 208
 
---S  209 of 1092
+--S 209 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  209
+--E 209
 
---S  210 of 1092
+--S 210 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  210
+--E 210
 
 )clear all
 
---S  211 of 1092
+--S 211 of 1092
 t0:=x^2*(c+d*x)^2/(a+b*x)
 --R 
 --R
@@ -5454,9 +5454,9 @@ t0:=x^2*(c+d*x)^2/(a+b*x)
 --R   (1)  ---------------------
 --R               b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  211
+--E 211
 
---S  212 of 1092
+--S 212 of 1092
 r0:=-a*(b*c-a*d)^2*x/b^4+1/2*(b*c-a*d)^2*x^2/b^3+1/3*d*(2*b*c-a*d)*x^3/b^2+_
      1/4*d^2*x^4/b+a^2*(b*c-a*d)^2*log(a+b*x)/b^5
 --R 
@@ -5474,9 +5474,9 @@ r0:=-a*(b*c-a*d)^2*x/b^4+1/2*(b*c-a*d)^2*x^2/b^3+1/3*d*(2*b*c-a*d)*x^3/b^2+_
 --R        5
 --R     12b
 --R                                                    Type: Expression(Integer)
---E  212
+--E 212
 
---S  213 of 1092
+--S 213 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5493,27 +5493,27 @@ a0:=integrate(t0,x)
 --R        5
 --R     12b
 --R                                         Type: Union(Expression(Integer),...)
---E  213
+--E 213
 
---S  214 of 1092
+--S 214 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  214
+--E 214
 
---S  215 of 1092
+--S 215 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  215
+--E 215
 
 )clear all
 
---S  216 of 1092
+--S 216 of 1092
 t0:=x*(c+d*x)^2/(a+b*x)
 --R 
 --R
@@ -5522,9 +5522,9 @@ t0:=x*(c+d*x)^2/(a+b*x)
 --R   (1)  --------------------
 --R               b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  216
+--E 216
 
---S  217 of 1092
+--S 217 of 1092
 r0:=(b*c-a*d)^2*x/b^3+1/2*d*(2*b*c-a*d)*x^2/b^2+1/3*d^2*x^3/b-_
      a*(b*c-a*d)^2*log(a+b*x)/b^4
 --R 
@@ -5539,9 +5539,9 @@ r0:=(b*c-a*d)^2*x/b^3+1/2*d*(2*b*c-a*d)*x^2/b^2+1/3*d^2*x^3/b-_
 --R       4
 --R     6b
 --R                                                    Type: Expression(Integer)
---E  217
+--E 217
 
---S  218 of 1092
+--S 218 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5555,27 +5555,27 @@ a0:=integrate(t0,x)
 --R       4
 --R     6b
 --R                                         Type: Union(Expression(Integer),...)
---E  218
+--E 218
 
---S  219 of 1092
+--S 219 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  219
+--E 219
 
---S  220 of 1092
+--S 220 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  220
+--E 220
 
 )clear all
 
---S  221 of 1092
+--S 221 of 1092
 t0:=(c+d*x)^2/(a+b*x)
 --R 
 --R
@@ -5584,9 +5584,9 @@ t0:=(c+d*x)^2/(a+b*x)
 --R   (1)  ------------------
 --R              b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  221
+--E 221
 
---S  222 of 1092
+--S 222 of 1092
 r0:=d*(b*c-a*d)*x/b^2+1/2*(c+d*x)^2/b+(b*c-a*d)^2*log(a+b*x)/b^3
 --R 
 --R
@@ -5600,9 +5600,9 @@ r0:=d*(b*c-a*d)*x/b^2+1/2*(c+d*x)^2/b+(b*c-a*d)^2*log(a+b*x)/b^3
 --R       3
 --R     2b
 --R                                                    Type: Expression(Integer)
---E  222
+--E 222
 
---S  223 of 1092
+--S 223 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5613,9 +5613,9 @@ a0:=integrate(t0,x)
 --R                                       3
 --R                                     2b
 --R                                         Type: Union(Expression(Integer),...)
---E  223
+--E 223
 
---S  224 of 1092
+--S 224 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -5624,19 +5624,19 @@ m0:=a0-r0
 --R   (4)  - --
 --R          2b
 --R                                                    Type: Expression(Integer)
---E  224
+--E 224
 
---S  225 of 1092
+--S 225 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  225
+--E 225
 
 )clear all
 
---S  226 of 1092
+--S 226 of 1092
 t0:=(c+d*x)^2/(x*(a+b*x))
 --R 
 --R
@@ -5646,9 +5646,9 @@ t0:=(c+d*x)^2/(x*(a+b*x))
 --R               2
 --R            b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  226
+--E 226
 
---S  227 of 1092
+--S 227 of 1092
 r0:=d^2*x/b+c^2*log(x)/a-(b*c-a*d)^2*log(a+b*x)/(a*b^2)
 --R 
 --R
@@ -5658,9 +5658,9 @@ r0:=d^2*x/b+c^2*log(x)/a-(b*c-a*d)^2*log(a+b*x)/(a*b^2)
 --R                                        2
 --R                                     a b
 --R                                                    Type: Expression(Integer)
---E  227
+--E 227
 
---S  228 of 1092
+--S 228 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5670,27 +5670,27 @@ a0:=integrate(t0,x)
 --R                                        2
 --R                                     a b
 --R                                         Type: Union(Expression(Integer),...)
---E  228
+--E 228
 
---S  229 of 1092
+--S 229 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  229
+--E 229
 
---S  230 of 1092
+--S 230 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  230
+--E 230
 
 )clear all
 
---S  231 of 1092
+--S 231 of 1092
 t0:=(c+d*x)^2/(x^2*(a+b*x))
 --R 
 --R
@@ -5700,9 +5700,9 @@ t0:=(c+d*x)^2/(x^2*(a+b*x))
 --R               3      2
 --R            b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  231
+--E 231
 
---S  232 of 1092
+--S 232 of 1092
 r0:=-c^2/(a*x)-c*(b*c-2*a*d)*log(x)/a^2+(b*c-a*d)^2*log(a+b*x)/(a^2*b)
 --R 
 --R
@@ -5713,9 +5713,9 @@ r0:=-c^2/(a*x)-c*(b*c-2*a*d)*log(x)/a^2+(b*c-a*d)^2*log(a+b*x)/(a^2*b)
 --R                                       2
 --R                                      a b x
 --R                                                    Type: Expression(Integer)
---E  232
+--E 232
 
---S  233 of 1092
+--S 233 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5726,27 +5726,27 @@ a0:=integrate(t0,x)
 --R                                       2
 --R                                      a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  233
+--E 233
 
---S  234 of 1092
+--S 234 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  234
+--E 234
 
---S  235 of 1092
+--S 235 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  235
+--E 235
 
 )clear all
 
---S  236 of 1092
+--S 236 of 1092
 t0:=(c+d*x)^2/(x^3*(a+b*x))
 --R 
 --R
@@ -5756,9 +5756,9 @@ t0:=(c+d*x)^2/(x^3*(a+b*x))
 --R               4      3
 --R            b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  236
+--E 236
 
---S  237 of 1092
+--S 237 of 1092
 r0:=-1/2*c^2/(a*x^2)+c*(b*c-2*a*d)/(a^2*x)+(b*c-a*d)^2*log(x)/a^3-_
      (b*c-a*d)^2*log(a+b*x)/a^3
 --R 
@@ -5773,9 +5773,9 @@ r0:=-1/2*c^2/(a*x^2)+c*(b*c-2*a*d)/(a^2*x)+(b*c-a*d)^2*log(x)/a^3-_
 --R       3 2
 --R     2a x
 --R                                                    Type: Expression(Integer)
---E  237
+--E 237
 
---S  238 of 1092
+--S 238 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5789,27 +5789,27 @@ a0:=integrate(t0,x)
 --R       3 2
 --R     2a x
 --R                                         Type: Union(Expression(Integer),...)
---E  238
+--E 238
 
---S  239 of 1092
+--S 239 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  239
+--E 239
 
---S  240 of 1092
+--S 240 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  240
+--E 240
 
 )clear all
 
---S  241 of 1092
+--S 241 of 1092
 t0:=(c+d*x)^2/(x^4*(a+b*x))
 --R 
 --R
@@ -5819,9 +5819,9 @@ t0:=(c+d*x)^2/(x^4*(a+b*x))
 --R               5      4
 --R            b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  241
+--E 241
 
---S  242 of 1092
+--S 242 of 1092
 r0:=-1/3*c^2/(a*x^3)+1/2*c*(b*c-2*a*d)/(a^2*x^2)-(b*c-a*d)^2/(a^3*x)-_
      b*(b*c-a*d)^2*log(x)/a^4+b*(b*c-a*d)^2*log(a+b*x)/a^4
 --R 
@@ -5839,9 +5839,9 @@ r0:=-1/3*c^2/(a*x^3)+1/2*c*(b*c-2*a*d)/(a^2*x^2)-(b*c-a*d)^2/(a^3*x)-_
 --R       4 3
 --R     6a x
 --R                                                    Type: Expression(Integer)
---E  242
+--E 242
 
---S  243 of 1092
+--S 243 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5858,27 +5858,27 @@ a0:=integrate(t0,x)
 --R       4 3
 --R     6a x
 --R                                         Type: Union(Expression(Integer),...)
---E  243
+--E 243
 
---S  244 of 1092
+--S 244 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  244
+--E 244
 
---S  245 of 1092
+--S 245 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  245
+--E 245
 
 )clear all
 
---S  246 of 1092
+--S 246 of 1092
 t0:=(c+d*x)^2/(x^5*(a+b*x))
 --R 
 --R
@@ -5888,9 +5888,9 @@ t0:=(c+d*x)^2/(x^5*(a+b*x))
 --R               6      5
 --R            b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  246
+--E 246
 
---S  247 of 1092
+--S 247 of 1092
 r0:=-1/4*c^2/(a*x^4)+1/3*c*(b*c-2*a*d)/(a^2*x^3)-_
      1/2*(b*c-a*d)^2/(a^3*x^2)+b*(b*c-a*d)^2/(a^4*x)+_
      b^2*(b*c-a*d)^2*log(x)/a^5-b^2*(b*c-a*d)^2*log(a+b*x)/a^5
@@ -5912,9 +5912,9 @@ r0:=-1/4*c^2/(a*x^4)+1/3*c*(b*c-2*a*d)/(a^2*x^3)-_
 --R        5 4
 --R     12a x
 --R                                                    Type: Expression(Integer)
---E  247
+--E 247
 
---S  248 of 1092
+--S 248 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -5934,27 +5934,27 @@ a0:=integrate(t0,x)
 --R        5 4
 --R     12a x
 --R                                         Type: Union(Expression(Integer),...)
---E  248
+--E 248
 
---S  249 of 1092
+--S 249 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  249
+--E 249
 
---S  250 of 1092
+--S 250 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  250
+--E 250
 
 )clear all
 
---S  251 of 1092
+--S 251 of 1092
 t0:=(c+d*x)^2/(x^6*(a+b*x))
 --R 
 --R
@@ -5964,9 +5964,9 @@ t0:=(c+d*x)^2/(x^6*(a+b*x))
 --R               7      6
 --R            b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  251
+--E 251
 
---S  252 of 1092
+--S 252 of 1092
 r0:=-1/5*c^2/(a*x^5)+1/4*c*(b*c-2*a*d)/(a^2*x^4)-_
      1/3*(b*c-a*d)^2/(a^3*x^3)+1/2*b*(b*c-a*d)^2/(a^4*x^2)-_
      b^2*(b*c-a*d)^2/(a^5*x)-b^3*(b*c-a*d)^2*log(x)/a^6+_
@@ -5992,9 +5992,9 @@ r0:=-1/5*c^2/(a*x^5)+1/4*c*(b*c-2*a*d)/(a^2*x^4)-_
 --R        6 5
 --R     60a x
 --R                                                    Type: Expression(Integer)
---E  252
+--E 252
 
---S  253 of 1092
+--S 253 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6017,27 +6017,27 @@ a0:=integrate(t0,x)
 --R        6 5
 --R     60a x
 --R                                         Type: Union(Expression(Integer),...)
---E  253
+--E 253
 
---S  254 of 1092
+--S 254 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  254
+--E 254
 
---S  255 of 1092
+--S 255 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  255
+--E 255
 
 )clear all
 
---S  256 of 1092
+--S 256 of 1092
 t0:=x^m*(c+d*x)^3/(a+b*x)
 --R 
 --R
@@ -6046,29 +6046,29 @@ t0:=x^m*(c+d*x)^3/(a+b*x)
 --R   (1)  --------------------------------
 --R                     b x + a
 --R                                                    Type: Expression(Integer)
---E  256
+--E 256
 
---S  257 of 1092
+--S 257 of 1092
 --r0:=d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^(1+m)/(b^3*(1+m))+_
 --     d^2*(3*b*c-a*d)*x^(2+m)/(b^2*(2+m))+d^3*x^(3+m)/(b*(3+m))+_
 --     (b*c-a*d)^3*x^(1+m)*hypergeometric(1,1+m,2+m,-b*x/a)/(a*b^3*(1+m))
---E  257
+--E 257
 
---S  258 of 1092
+--S 258 of 1092
 --a0:=integrate(t0,x)
---E  258
+--E 258
 
---S  259 of 1092
+--S 259 of 1092
 --m0:=a0-r0
---E  259
+--E 259
 
---S  260 of 1092
+--S 260 of 1092
 --d0:=D(m0,x)
---E  260
+--E 260
 
 )clear all
 
---S  261 of 1092
+--S 261 of 1092
 t0:=x^4*(c+d*x)^3/(a+b*x)
 --R 
 --R
@@ -6077,9 +6077,9 @@ t0:=x^4*(c+d*x)^3/(a+b*x)
 --R   (1)  -------------------------------
 --R                    b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  261
+--E 261
 
---S  262 of 1092
+--S 262 of 1092
 r0:=-a^3*(b*c-a*d)^3*x/b^7+1/2*a^2*(b*c-a*d)^3*x^2/b^6-1/3*a*(b*c-a*d)^3*_
      x^3/b^5+1/4*(b*c-a*d)^3*x^4/b^4+1/5*d*(3*b^2*c^2-_
      3*a*b*c*d+a^2*d^2)*x^5/b^3+1/6*d^2*(3*b*c-a*d)*x^6/b^2+_
@@ -6111,9 +6111,9 @@ r0:=-a^3*(b*c-a*d)^3*x/b^7+1/2*a^2*(b*c-a*d)^3*x^2/b^6-1/3*a*(b*c-a*d)^3*_
 --R         8
 --R     420b
 --R                                                    Type: Expression(Integer)
---E  262
+--E 262
 
---S  263 of 1092
+--S 263 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6142,27 +6142,27 @@ a0:=integrate(t0,x)
 --R         8
 --R     420b
 --R                                         Type: Union(Expression(Integer),...)
---E  263
+--E 263
 
---S  264 of 1092
+--S 264 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  264
+--E 264
 
---S  265 of 1092
+--S 265 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  265
+--E 265
 
 )clear all
 
---S  266 of 1092
+--S 266 of 1092
 t0:=x^3*(c+d*x)^3/(a+b*x)
 --R 
 --R
@@ -6171,9 +6171,9 @@ t0:=x^3*(c+d*x)^3/(a+b*x)
 --R   (1)  -------------------------------
 --R                    b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  266
+--E 266
 
---S  267 of 1092
+--S 267 of 1092
 r0:=a^2*(b*c-a*d)^3*x/b^6-1/2*a*(b*c-a*d)^3*x^2/b^5+1/3*(b*c-a*d)^3*x^3/b^4+_
      1/4*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^4/b^3+_
      1/5*d^2*(3*b*c-a*d)*x^5/b^2+1/6*d^3*x^6/b-a^3*(b*c-a*d)^3*log(a+b*x)/b^7
@@ -6198,9 +6198,9 @@ r0:=a^2*(b*c-a*d)^3*x/b^6-1/2*a*(b*c-a*d)^3*x^2/b^5+1/3*(b*c-a*d)^3*x^3/b^4+_
 --R        7
 --R     60b
 --R                                                    Type: Expression(Integer)
---E  267
+--E 267
 
---S  268 of 1092
+--S 268 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6223,27 +6223,27 @@ a0:=integrate(t0,x)
 --R        7
 --R     60b
 --R                                         Type: Union(Expression(Integer),...)
---E  268
+--E 268
 
---S  269 of 1092
+--S 269 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  269
+--E 269
 
---S  270 of 1092
+--S 270 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  270
+--E 270
 
 )clear all
 
---S  271 of 1092
+--S 271 of 1092
 t0:=x^2*(c+d*x)^3/(a+b*x)
 --R 
 --R
@@ -6252,9 +6252,9 @@ t0:=x^2*(c+d*x)^3/(a+b*x)
 --R   (1)  -------------------------------
 --R                    b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  271
+--E 271
 
---S  272 of 1092
+--S 272 of 1092
 r0:=-a*(b*c-a*d)^3*x/b^5+1/2*(b*c-a*d)^3*x^2/b^4+_
      1/3*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^3/b^3+_
      1/4*d^2*(3*b*c-a*d)*x^4/b^2+1/5*d^3*x^5/b+a^2*(b*c-a*d)^3*log(a+b*x)/b^6
@@ -6276,9 +6276,9 @@ r0:=-a*(b*c-a*d)^3*x/b^5+1/2*(b*c-a*d)^3*x^2/b^4+_
 --R        6
 --R     60b
 --R                                                    Type: Expression(Integer)
---E  272
+--E 272
 
---S  273 of 1092
+--S 273 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6298,27 +6298,27 @@ a0:=integrate(t0,x)
 --R        6
 --R     60b
 --R                                         Type: Union(Expression(Integer),...)
---E  273
+--E 273
 
---S  274 of 1092
+--S 274 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  274
+--E 274
 
---S  275 of 1092
+--S 275 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  275
+--E 275
 
 )clear all
 
---S  276 of 1092
+--S 276 of 1092
 t0:=x*(c+d*x)^3/(a+b*x)
 --R 
 --R
@@ -6327,9 +6327,9 @@ t0:=x*(c+d*x)^3/(a+b*x)
 --R   (1)  ------------------------------
 --R                    b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  276
+--E 276
 
---S  277 of 1092
+--S 277 of 1092
 r0:=(b*c-a*d)^3*x/b^4+1/2*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^2/b^3+_
      1/3*d^2*(3*b*c-a*d)*x^3/b^2+1/4*d^3*x^4/b-a*(b*c-a*d)^3*log(a+b*x)/b^5
 --R 
@@ -6347,9 +6347,9 @@ r0:=(b*c-a*d)^3*x/b^4+1/2*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^2/b^3+_
 --R        5
 --R     12b
 --R                                                    Type: Expression(Integer)
---E  277
+--E 277
 
---S  278 of 1092
+--S 278 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6366,27 +6366,27 @@ a0:=integrate(t0,x)
 --R        5
 --R     12b
 --R                                         Type: Union(Expression(Integer),...)
---E  278
+--E 278
 
---S  279 of 1092
+--S 279 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  279
+--E 279
 
---S  280 of 1092
+--S 280 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  280
+--E 280
 
 )clear all
 
---S  281 of 1092
+--S 281 of 1092
 t0:=(c+d*x)^3/(a+b*x)
 --R 
 --R
@@ -6395,9 +6395,9 @@ t0:=(c+d*x)^3/(a+b*x)
 --R   (1)  ----------------------------
 --R                   b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  281
+--E 281
 
---S  282 of 1092
+--S 282 of 1092
 r0:=d*(b*c-a*d)^2*x/b^3+1/2*(b*c-a*d)*(c+d*x)^2/b^2+_
      1/3*(c+d*x)^3/b+(b*c-a*d)^3*log(a+b*x)/b^4
 --R 
@@ -6415,9 +6415,9 @@ r0:=d*(b*c-a*d)^2*x/b^3+1/2*(b*c-a*d)*(c+d*x)^2/b^2+_
 --R       4
 --R     6b
 --R                                                    Type: Expression(Integer)
---E  282
+--E 282
 
---S  283 of 1092
+--S 283 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6431,9 +6431,9 @@ a0:=integrate(t0,x)
 --R       4
 --R     6b
 --R                                         Type: Union(Expression(Integer),...)
---E  283
+--E 283
 
---S  284 of 1092
+--S 284 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -6443,19 +6443,19 @@ m0:=a0-r0
 --R                2
 --R              6b
 --R                                                    Type: Expression(Integer)
---E  284
+--E 284
 
---S  285 of 1092
+--S 285 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  285
+--E 285
 
 )clear all
 
---S  286 of 1092
+--S 286 of 1092
 t0:=(c+d*x)^3/(x*(a+b*x))
 --R 
 --R
@@ -6465,9 +6465,9 @@ t0:=(c+d*x)^3/(x*(a+b*x))
 --R                    2
 --R                 b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  286
+--E 286
 
---S  287 of 1092
+--S 287 of 1092
 r0:=d^2*(3*b*c-a*d)*x/b^2+1/2*d^3*x^2/b+_
      c^3*log(x)/a-(b*c-a*d)^3*log(a+b*x)/(a*b^3)
 --R 
@@ -6482,9 +6482,9 @@ r0:=d^2*(3*b*c-a*d)*x/b^2+1/2*d^3*x^2/b+_
 --R         3
 --R     2a b
 --R                                                    Type: Expression(Integer)
---E  287
+--E 287
 
---S  288 of 1092
+--S 288 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6498,27 +6498,27 @@ a0:=integrate(t0,x)
 --R         3
 --R     2a b
 --R                                         Type: Union(Expression(Integer),...)
---E  288
+--E 288
 
---S  289 of 1092
+--S 289 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  289
+--E 289
 
---S  290 of 1092
+--S 290 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  290
+--E 290
 
 )clear all
 
---S  291 of 1092
+--S 291 of 1092
 t0:=(c+d*x)^3/(x^2*(a+b*x))
 --R 
 --R
@@ -6528,9 +6528,9 @@ t0:=(c+d*x)^3/(x^2*(a+b*x))
 --R                    3      2
 --R                 b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  291
+--E 291
 
---S  292 of 1092
+--S 292 of 1092
 r0:=-c^3/(a*x)+d^3*x/b-c^2*(b*c-3*a*d)*log(x)/a^2+_
      (b*c-a*d)^3*log(a+b*x)/(a^2*b^2)
 --R 
@@ -6545,9 +6545,9 @@ r0:=-c^3/(a*x)+d^3*x/b-c^2*(b*c-3*a*d)*log(x)/a^2+_
 --R      2 2
 --R     a b x
 --R                                                    Type: Expression(Integer)
---E  292
+--E 292
 
---S  293 of 1092
+--S 293 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6561,27 +6561,27 @@ a0:=integrate(t0,x)
 --R      2 2
 --R     a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  293
+--E 293
 
---S  294 of 1092
+--S 294 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  294
+--E 294
 
---S  295 of 1092
+--S 295 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  295
+--E 295
 
 )clear all
 
---S  296 of 1092
+--S 296 of 1092
 t0:=(c+d*x)^3/(x^3*(a+b*x))
 --R 
 --R
@@ -6591,9 +6591,9 @@ t0:=(c+d*x)^3/(x^3*(a+b*x))
 --R                    4      3
 --R                 b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  296
+--E 296
 
---S  297 of 1092
+--S 297 of 1092
 r0:=-1/2*c^3/(a*x^2)+c^2*(b*c-3*a*d)/(a^2*x)+_
      c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)*log(x)/a^3-(b*c-a*d)^3*log(a+b*x)/(a^3*b)
 --R 
@@ -6608,9 +6608,9 @@ r0:=-1/2*c^3/(a*x^2)+c^2*(b*c-3*a*d)/(a^2*x)+_
 --R       3   2
 --R     2a b x
 --R                                                    Type: Expression(Integer)
---E  297
+--E 297
 
---S  298 of 1092
+--S 298 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6624,27 +6624,27 @@ a0:=integrate(t0,x)
 --R       3   2
 --R     2a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  298
+--E 298
 
---S  299 of 1092
+--S 299 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  299
+--E 299
 
---S  300 of 1092
+--S 300 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  300
+--E 300
 
 )clear all
 
---S  301 of 1092
+--S 301 of 1092
 t0:=(c+d*x)^3/(x^4*(a+b*x))
 --R 
 --R
@@ -6654,9 +6654,9 @@ t0:=(c+d*x)^3/(x^4*(a+b*x))
 --R                    5      4
 --R                 b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  301
+--E 301
 
---S  302 of 1092
+--S 302 of 1092
 r0:=-1/3*c^3/(a*x^3)+1/2*c^2*(b*c-3*a*d)/(a^2*x^2)-_
      c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x)-_
      (b*c-a*d)^3*log(x)/a^4+(b*c-a*d)^3*log(a+b*x)/a^4
@@ -6675,9 +6675,9 @@ r0:=-1/3*c^3/(a*x^3)+1/2*c^2*(b*c-3*a*d)/(a^2*x^2)-_
 --R       4 3
 --R     6a x
 --R                                                    Type: Expression(Integer)
---E  302
+--E 302
 
---S  303 of 1092
+--S 303 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6694,27 +6694,27 @@ a0:=integrate(t0,x)
 --R       4 3
 --R     6a x
 --R                                         Type: Union(Expression(Integer),...)
---E  303
+--E 303
 
---S  304 of 1092
+--S 304 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  304
+--E 304
 
---S  305 of 1092
+--S 305 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  305
+--E 305
 
 )clear all
 
---S  306 of 1092
+--S 306 of 1092
 t0:=(c+d*x)^3/(x^5*(a+b*x))
 --R 
 --R
@@ -6724,9 +6724,9 @@ t0:=(c+d*x)^3/(x^5*(a+b*x))
 --R                    6      5
 --R                 b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  306
+--E 306
 
---S  307 of 1092
+--S 307 of 1092
 r0:=-1/4*c^3/(a*x^4)+1/3*c^2*(b*c-3*a*d)/(a^2*x^3)-_
      1/2*c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x^2)+_
      (b*c-a*d)^3/(a^4*x)+b*(b*c-a*d)^3*log(x)/a^5-b*(b*c-a*d)^3*log(a+b*x)/a^5
@@ -6748,9 +6748,9 @@ r0:=-1/4*c^3/(a*x^4)+1/3*c^2*(b*c-3*a*d)/(a^2*x^3)-_
 --R        5 4
 --R     12a x
 --R                                                    Type: Expression(Integer)
---E  307
+--E 307
 
---S  308 of 1092
+--S 308 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6770,27 +6770,27 @@ a0:=integrate(t0,x)
 --R        5 4
 --R     12a x
 --R                                         Type: Union(Expression(Integer),...)
---E  308
+--E 308
 
---S  309 of 1092
+--S 309 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  309
+--E 309
 
---S  310 of 1092
+--S 310 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  310
+--E 310
 
 )clear all
 
---S  311 of 1092
+--S 311 of 1092
 t0:=(c+d*x)^3/(x^6*(a+b*x))
 --R 
 --R
@@ -6800,9 +6800,9 @@ t0:=(c+d*x)^3/(x^6*(a+b*x))
 --R                    7      6
 --R                 b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  311
+--E 311
 
---S  312 of 1092
+--S 312 of 1092
 r0:=-1/5*c^3/(a*x^5)+1/4*c^2*(b*c-3*a*d)/(a^2*x^4)-_
      1/3*c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x^3)+_
      1/2*(b*c-a*d)^3/(a^4*x^2)-b*(b*c-a*d)^3/(a^5*x)-_
@@ -6828,9 +6828,9 @@ r0:=-1/5*c^3/(a*x^5)+1/4*c^2*(b*c-3*a*d)/(a^2*x^4)-_
 --R        6 5
 --R     60a x
 --R                                                    Type: Expression(Integer)
---E  312
+--E 312
 
---S  313 of 1092
+--S 313 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6853,27 +6853,27 @@ a0:=integrate(t0,x)
 --R        6 5
 --R     60a x
 --R                                         Type: Union(Expression(Integer),...)
---E  313
+--E 313
 
---S  314 of 1092
+--S 314 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  314
+--E 314
 
---S  315 of 1092
+--S 315 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  315
+--E 315
 
 )clear all
 
---S  316 of 1092
+--S 316 of 1092
 t0:=(c+d*x)^3/(x^7*(a+b*x))
 --R 
 --R
@@ -6883,9 +6883,9 @@ t0:=(c+d*x)^3/(x^7*(a+b*x))
 --R                    8      7
 --R                 b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  316
+--E 316
 
---S  317 of 1092
+--S 317 of 1092
 r0:=-1/6*c^3/(a*x^6)+1/5*c^2*(b*c-3*a*d)/(a^2*x^5)-_
      1/4*c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x^4)+_
      1/3*(b*c-a*d)^3/(a^4*x^3)-1/2*b*(b*c-a*d)^3/(a^5*x^2)+_
@@ -6915,9 +6915,9 @@ r0:=-1/6*c^3/(a*x^6)+1/5*c^2*(b*c-3*a*d)/(a^2*x^5)-_
 --R        7 6
 --R     60a x
 --R                                                    Type: Expression(Integer)
---E  317
+--E 317
 
---S  318 of 1092
+--S 318 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -6943,27 +6943,27 @@ a0:=integrate(t0,x)
 --R        7 6
 --R     60a x
 --R                                         Type: Union(Expression(Integer),...)
---E  318
+--E 318
 
---S  319 of 1092
+--S 319 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  319
+--E 319
 
---S  320 of 1092
+--S 320 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  320
+--E 320
 
 )clear all
 
---S  321 of 1092
+--S 321 of 1092
 t0:=x^m/((a+b*x)*(c+d*x))
 --R 
 --R
@@ -6973,28 +6973,28 @@ t0:=x^m/((a+b*x)*(c+d*x))
 --R             2
 --R        b d x  + (a d + b c)x + a c
 --R                                                    Type: Expression(Integer)
---E  321
+--E 321
 
---S  322 of 1092
+--S 322 of 1092
 --r0:=b*x^(1+m)*hypergeometric(1,1+m,2+m,-b*x/a)/(a*(b*c-a*d)*(1+m))-_
 --     d*x^(1+m)*hypergeometric(1,1+m,2+m,-d*x/c)/(c*(b*c-a*d)*(1+m))
---E  322
+--E 322
 
---S  323 of 1092
+--S 323 of 1092
 --a0:=integrate(t0,x)
---E  323
+--E 323
 
---S  324 of 1092
+--S 324 of 1092
 --m0:=a0-r0
---E  324
+--E 324
 
---S  325 of 1092
+--S 325 of 1092
 --d0:=D(m0,x)
---E  325
+--E 325
 
 )clear all
 
---S  326 of 1092
+--S 326 of 1092
 t0:=x^5/((a+b*x)*(c+d*x))
 --R 
 --R
@@ -7004,9 +7004,9 @@ t0:=x^5/((a+b*x)*(c+d*x))
 --R             2
 --R        b d x  + (a d + b c)x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  326
+--E 326
 
---S  327 of 1092
+--S 327 of 1092
 r0:=-(b*c+a*d)*(b^2*c^2+a^2*d^2)*x/(b^4*d^4)+_
      1/2*(b^2*c^2+a*b*c*d+a^2*d^2)*x^2/(b^3*d^3)-_
      1/3*(b*c+a*d)*x^3/(b^2*d^2)+1/4*x^4/(b*d)-_
@@ -7023,9 +7023,9 @@ r0:=-(b*c+a*d)*(b^2*c^2+a^2*d^2)*x/(b^4*d^4)+_
 --R          5 6      6   5
 --R     12a b d  - 12b c d
 --R                                                    Type: Expression(Integer)
---E  327
+--E 327
 
---S  328 of 1092
+--S 328 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7039,27 +7039,27 @@ a0:=integrate(t0,x)
 --R          5 6      6   5
 --R     12a b d  - 12b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  328
+--E 328
 
---S  329 of 1092
+--S 329 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  329
+--E 329
 
---S  330 of 1092
+--S 330 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  330
+--E 330
 
 )clear all
 
---S  331 of 1092
+--S 331 of 1092
 t0:=x^4/((a+b*x)*(c+d*x))
 --R 
 --R
@@ -7069,9 +7069,9 @@ t0:=x^4/((a+b*x)*(c+d*x))
 --R             2
 --R        b d x  + (a d + b c)x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  331
+--E 331
 
---S  332 of 1092
+--S 332 of 1092
 r0:=(b^2*c^2+a*b*c*d+a^2*d^2)*x/(b^3*d^3)-_
      1/2*(b*c+a*d)*x^2/(b^2*d^2)+1/3*x^3/(b*d)+_
      a^4*log(a+b*x)/(b^4*(b*c-a*d))-c^4*log(c+d*x)/(d^4*(b*c-a*d))
@@ -7087,9 +7087,9 @@ r0:=(b^2*c^2+a*b*c*d+a^2*d^2)*x/(b^3*d^3)-_
 --R         4 5     5   4
 --R     6a b d  - 6b c d
 --R                                                    Type: Expression(Integer)
---E  332
+--E 332
 
---S  333 of 1092
+--S 333 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7103,27 +7103,27 @@ a0:=integrate(t0,x)
 --R         4 5     5   4
 --R     6a b d  - 6b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  333
+--E 333
 
---S  334 of 1092
+--S 334 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  334
+--E 334
 
---S  335 of 1092
+--S 335 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  335
+--E 335
 
 )clear all
 
---S  336 of 1092
+--S 336 of 1092
 t0:=x^3/((a+b*x)*(c+d*x))
 --R 
 --R
@@ -7133,9 +7133,9 @@ t0:=x^3/((a+b*x)*(c+d*x))
 --R             2
 --R        b d x  + (a d + b c)x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  336
+--E 336
 
---S  337 of 1092
+--S 337 of 1092
 r0:=-(b*c+a*d)*x/(b^2*d^2)+1/2*x^2/(b*d)-a^3*log(a+b*x)/(b^3*(b*c-a*d))+_
      c^3*log(c+d*x)/(d^3*(b*c-a*d))
 --R 
@@ -7150,9 +7150,9 @@ r0:=-(b*c+a*d)*x/(b^2*d^2)+1/2*x^2/(b*d)-a^3*log(a+b*x)/(b^3*(b*c-a*d))+_
 --R         3 4     4   3
 --R     2a b d  - 2b c d
 --R                                                    Type: Expression(Integer)
---E  337
+--E 337
 
---S  338 of 1092
+--S 338 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7166,27 +7166,27 @@ a0:=integrate(t0,x)
 --R         3 4     4   3
 --R     2a b d  - 2b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  338
+--E 338
 
---S  339 of 1092
+--S 339 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  339
+--E 339
 
---S  340 of 1092
+--S 340 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  340
+--E 340
 
 )clear all
 
---S  341 of 1092
+--S 341 of 1092
 t0:=x^2/((a+b*x)*(c+d*x))
 --R 
 --R
@@ -7196,9 +7196,9 @@ t0:=x^2/((a+b*x)*(c+d*x))
 --R             2
 --R        b d x  + (a d + b c)x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  341
+--E 341
 
---S  342 of 1092
+--S 342 of 1092
 r0:=x/(b*d)+a^2*log(a+b*x)/(b^2*(b*c-a*d))-c^2*log(c+d*x)/(d^2*(b*c-a*d))
 --R 
 --R
@@ -7208,9 +7208,9 @@ r0:=x/(b*d)+a^2*log(a+b*x)/(b^2*(b*c-a*d))-c^2*log(c+d*x)/(d^2*(b*c-a*d))
 --R                               2 3    3   2
 --R                            a b d  - b c d
 --R                                                    Type: Expression(Integer)
---E  342
+--E 342
 
---S  343 of 1092
+--S 343 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7220,27 +7220,27 @@ a0:=integrate(t0,x)
 --R                               2 3    3   2
 --R                            a b d  - b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  343
+--E 343
 
---S  344 of 1092
+--S 344 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  344
+--E 344
 
---S  345 of 1092
+--S 345 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  345
+--E 345
 
 )clear all
 
---S  346 of 1092
+--S 346 of 1092
 t0:=x/((a+b*x)*(c+d*x))
 --R 
 --R
@@ -7249,9 +7249,9 @@ t0:=x/((a+b*x)*(c+d*x))
 --R             2
 --R        b d x  + (a d + b c)x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  346
+--E 346
 
---S  347 of 1092
+--S 347 of 1092
 r0:=-a*log(a+b*x)/(b*(b*c-a*d))+c*log(c+d*x)/(d*(b*c-a*d))
 --R 
 --R
@@ -7260,9 +7260,9 @@ r0:=-a*log(a+b*x)/(b*(b*c-a*d))+c*log(c+d*x)/(d*(b*c-a*d))
 --R                         2    2
 --R                    a b d  - b c d
 --R                                                    Type: Expression(Integer)
---E  347
+--E 347
 
---S  348 of 1092
+--S 348 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7271,27 +7271,27 @@ a0:=integrate(t0,x)
 --R                         2    2
 --R                    a b d  - b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  348
+--E 348
 
---S  349 of 1092
+--S 349 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  349
+--E 349
 
---S  350 of 1092
+--S 350 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  350
+--E 350
 
 )clear all
 
---S  351 of 1092
+--S 351 of 1092
 t0:=1/((a+b*x)*(c+d*x))
 --R 
 --R
@@ -7300,9 +7300,9 @@ t0:=1/((a+b*x)*(c+d*x))
 --R             2
 --R        b d x  + (a d + b c)x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  351
+--E 351
 
---S  352 of 1092
+--S 352 of 1092
 r0:=log(a+b*x)/(b*c-a*d)-log(c+d*x)/(b*c-a*d)
 --R 
 --R
@@ -7310,9 +7310,9 @@ r0:=log(a+b*x)/(b*c-a*d)-log(c+d*x)/(b*c-a*d)
 --R   (2)  ---------------------------
 --R                 a d - b c
 --R                                                    Type: Expression(Integer)
---E  352
+--E 352
 
---S  353 of 1092
+--S 353 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7320,27 +7320,27 @@ a0:=integrate(t0,x)
 --R   (3)  ---------------------------
 --R                 a d - b c
 --R                                         Type: Union(Expression(Integer),...)
---E  353
+--E 353
 
---S  354 of 1092
+--S 354 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  354
+--E 354
 
---S  355 of 1092
+--S 355 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  355
+--E 355
 
 )clear all
 
---S  356 of 1092
+--S 356 of 1092
 t0:=1/(x*(a+b*x)*(c+d*x))
 --R 
 --R
@@ -7349,9 +7349,9 @@ t0:=1/(x*(a+b*x)*(c+d*x))
 --R             3               2
 --R        b d x  + (a d + b c)x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  356
+--E 356
 
---S  357 of 1092
+--S 357 of 1092
 r0:=log(x)/(a*c)-b*log(a+b*x)/(a*(b*c-a*d))+d*log(c+d*x)/(c*(b*c-a*d))
 --R 
 --R
@@ -7360,9 +7360,9 @@ r0:=log(x)/(a*c)-b*log(a+b*x)/(a*(b*c-a*d))+d*log(c+d*x)/(c*(b*c-a*d))
 --R                               2           2
 --R                              a c d - a b c
 --R                                                    Type: Expression(Integer)
---E  357
+--E 357
 
---S  358 of 1092
+--S 358 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7371,27 +7371,27 @@ a0:=integrate(t0,x)
 --R                               2           2
 --R                              a c d - a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  358
+--E 358
 
---S  359 of 1092
+--S 359 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  359
+--E 359
 
---S  360 of 1092
+--S 360 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  360
+--E 360
 
 )clear all
 
---S  361 of 1092
+--S 361 of 1092
 t0:=1/(x^2*(a+b*x)*(c+d*x))
 --R 
 --R
@@ -7400,9 +7400,9 @@ t0:=1/(x^2*(a+b*x)*(c+d*x))
 --R             4               3        2
 --R        b d x  + (a d + b c)x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  361
+--E 361
 
---S  362 of 1092
+--S 362 of 1092
 r0:=(-1)/(a*c*x)-(b*c+a*d)*log(x)/(a^2*c^2)+_
      b^2*log(a+b*x)/(a^2*(b*c-a*d))-d^2*log(c+d*x)/(c^2*(b*c-a*d))
 --R 
@@ -7417,9 +7417,9 @@ r0:=(-1)/(a*c*x)-(b*c+a*d)*log(x)/(a^2*c^2)+_
 --R       3 2     2   3
 --R     (a c d - a b c )x
 --R                                                    Type: Expression(Integer)
---E  362
+--E 362
 
---S  363 of 1092
+--S 363 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7433,27 +7433,27 @@ a0:=integrate(t0,x)
 --R       3 2     2   3
 --R     (a c d - a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  363
+--E 363
 
---S  364 of 1092
+--S 364 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  364
+--E 364
 
---S  365 of 1092
+--S 365 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  365
+--E 365
 
 )clear all
 
---S  366 of 1092
+--S 366 of 1092
 t0:=1/(x^3*(a+b*x)*(c+d*x))
 --R 
 --R
@@ -7462,9 +7462,9 @@ t0:=1/(x^3*(a+b*x)*(c+d*x))
 --R             5               4        3
 --R        b d x  + (a d + b c)x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  366
+--E 366
 
---S  367 of 1092
+--S 367 of 1092
 r0:=(-1/2)/(a*c*x^2)+(b*c+a*d)/(a^2*c^2*x)+(b^2*c^2+a*b*c*d+a^2*d^2)*_
      log(x)/(a^3*c^3)-b^3*log(a+b*x)/(a^3*(b*c-a*d))+_
      d^3*log(c+d*x)/(c^3*(b*c-a*d))
@@ -7480,9 +7480,9 @@ r0:=(-1/2)/(a*c*x^2)+(b*c+a*d)/(a^2*c^2*x)+(b^2*c^2+a*b*c*d+a^2*d^2)*_
 --R        4 3      3   4  2
 --R     (2a c d - 2a b c )x
 --R                                                    Type: Expression(Integer)
---E  367
+--E 367
 
---S  368 of 1092
+--S 368 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7496,27 +7496,27 @@ a0:=integrate(t0,x)
 --R        4 3      3   4  2
 --R     (2a c d - 2a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  368
+--E 368
 
---S  369 of 1092
+--S 369 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  369
+--E 369
 
---S  370 of 1092
+--S 370 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  370
+--E 370
 
 )clear all
 
---S  371 of 1092
+--S 371 of 1092
 t0:=1/(x^4*(a+b*x)*(c+d*x))
 --R 
 --R
@@ -7525,9 +7525,9 @@ t0:=1/(x^4*(a+b*x)*(c+d*x))
 --R             6               5        4
 --R        b d x  + (a d + b c)x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  371
+--E 371
 
---S  372 of 1092
+--S 372 of 1092
 r0:=(-1/3)/(a*c*x^3)+1/2*(b*c+a*d)/(a^2*c^2*x^2)+_
      (-b^2*c^2-a*b*c*d-a^2*d^2)/(a^3*c^3*x)-(b*c+a*d)*(b^2*c^2+a^2*d^2)*_
      log(x)/(a^4*c^4)+b^4*log(a+b*x)/(a^4*(b*c-a*d))-_
@@ -7544,9 +7544,9 @@ r0:=(-1/3)/(a*c*x^3)+1/2*(b*c+a*d)/(a^2*c^2*x^2)+_
 --R        5 4      4   5  3
 --R     (6a c d - 6a b c )x
 --R                                                    Type: Expression(Integer)
---E  372
+--E 372
 
---S  373 of 1092
+--S 373 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7560,27 +7560,27 @@ a0:=integrate(t0,x)
 --R        5 4      4   5  3
 --R     (6a c d - 6a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  373
+--E 373
 
---S  374 of 1092
+--S 374 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  374
+--E 374
 
---S  375 of 1092
+--S 375 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  375
+--E 375
 
 )clear all
 
---S  376 of 1092
+--S 376 of 1092
 t0:=x^m/((a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -7590,30 +7590,30 @@ t0:=x^m/((a+b*x)*(c+d*x)^2)
 --R           2 3       2           2                2        2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x + a c
 --R                                                    Type: Expression(Integer)
---E  376
+--E 376
 
---S  377 of 1092
+--S 377 of 1092
 --r0:=-d*x^(1+m)/(c*(b*c-a*d)*(c+d*x))+b^2*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,-b*x/a)/(a*(b*c-a*d)^2*(1+m))-b*d*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,-d*x/c)/(c*(b*c-a*d)^2*(1+m))+d*m*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,-d*x/c)/(c^2*(b*c-a*d)*(1+m))
---E  377
+--E 377
 
---S  378 of 1092
+--S 378 of 1092
 --a0:=integrate(t0,x)
---E  378
+--E 378
 
---S  379 of 1092
+--S 379 of 1092
 --m0:=a0-r0
---E  379
+--E 379
 
---S  380 of 1092
+--S 380 of 1092
 --d0:=D(m0,x)
---E  380
+--E 380
 
 )clear all
 
---S  381 of 1092
+--S 381 of 1092
 t0:=x^m/((1-a*x)^2*(1+a*x))
 --R 
 --R
@@ -7623,30 +7623,30 @@ t0:=x^m/((1-a*x)^2*(1+a*x))
 --R         3 3    2 2
 --R        a x  - a x  - a x + 1
 --R                                                    Type: Expression(Integer)
---E  381
+--E 381
 
---S  382 of 1092
+--S 382 of 1092
 --r0:=1/2*x^(1+m)/(1-a*x)+1/4*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,-a*x)/(1+m)+1/4*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,a*x)/(1+m)-1/2*m*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,a*x)/(1+m)
---E  382
+--E 382
 
---S  383 of 1092
+--S 383 of 1092
 --a0:=integrate(t0,x)
---E  383
+--E 383
 
---S  384 of 1092
+--S 384 of 1092
 --m0:=a0-r0
---E  384
+--E 384
 
---S  385 of 1092
+--S 385 of 1092
 --d0:=D(m0,x)
---E  385
+--E 385
 
 )clear all
 
---S  386 of 1092
+--S 386 of 1092
 t0:=x^5/((a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -7656,9 +7656,9 @@ t0:=x^5/((a+b*x)*(c+d*x)^2)
 --R           2 3       2           2                2        2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  386
+--E 386
 
---S  387 of 1092
+--S 387 of 1092
 r0:=(3*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^3*d^4)-_
      1/2*(2*b*c+a*d)*x^2/(b^2*d^3)+1/3*x^3/(b*d^2)-_
      c^5/(d^5*(b*c-a*d)*(c+d*x))-a^5*log(a+b*x)/(b^4*(b*c-a*d)^2)-_
@@ -7684,9 +7684,9 @@ r0:=(3*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^3*d^4)-_
 --R        2 4 8        5   7     6 2 6       2 4   7        5 2 6     6 3 5
 --R     (6a b d  - 12a b c d  + 6b c d )x + 6a b c d  - 12a b c d  + 6b c d
 --R                                                    Type: Expression(Integer)
---E  387
+--E 387
 
---S  388 of 1092
+--S 388 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7709,27 +7709,27 @@ a0:=integrate(t0,x)
 --R        2 4 8        5   7     6 2 6       2 4   7        5 2 6     6 3 5
 --R     (6a b d  - 12a b c d  + 6b c d )x + 6a b c d  - 12a b c d  + 6b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  388
+--E 388
 
---S  389 of 1092
+--S 389 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  389
+--E 389
 
---S  390 of 1092
+--S 390 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  390
+--E 390
 
 )clear all
 
---S  391 of 1092
+--S 391 of 1092
 t0:=x^4/((a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -7739,9 +7739,9 @@ t0:=x^4/((a+b*x)*(c+d*x)^2)
 --R           2 3       2           2                2        2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  391
+--E 391
 
---S  392 of 1092
+--S 392 of 1092
 r0:=-(2*b*c+a*d)*x/(b^2*d^3)+1/2*x^2/(b*d^2)+_
      c^4/(d^4*(b*c-a*d)*(c+d*x))+a^4*log(a+b*x)/(b^3*(b*c-a*d)^2)+_
      c^3*(3*b*c-4*a*d)*log(c+d*x)/(d^4*(b*c-a*d)^2)
@@ -7763,9 +7763,9 @@ r0:=-(2*b*c+a*d)*x/(b^2*d^3)+1/2*x^2/(b*d^2)+_
 --R        2 3 7       4   6     5 2 5       2 3   6       4 2 5     5 3 4
 --R     (2a b d  - 4a b c d  + 2b c d )x + 2a b c d  - 4a b c d  + 2b c d
 --R                                                    Type: Expression(Integer)
---E  392
+--E 392
 
---S  393 of 1092
+--S 393 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7785,27 +7785,27 @@ a0:=integrate(t0,x)
 --R        2 3 7       4   6     5 2 5       2 3   6       4 2 5     5 3 4
 --R     (2a b d  - 4a b c d  + 2b c d )x + 2a b c d  - 4a b c d  + 2b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  393
+--E 393
 
---S  394 of 1092
+--S 394 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  394
+--E 394
 
---S  395 of 1092
+--S 395 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  395
+--E 395
 
 )clear all
 
---S  396 of 1092
+--S 396 of 1092
 t0:=x^3/((a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -7815,9 +7815,9 @@ t0:=x^3/((a+b*x)*(c+d*x)^2)
 --R           2 3       2           2                2        2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  396
+--E 396
 
---S  397 of 1092
+--S 397 of 1092
 r0:=x/(b*d^2)-c^3/(d^3*(b*c-a*d)*(c+d*x))-_
      a^3*log(a+b*x)/(b^2*(b*c-a*d)^2)-c^2*(2*b*c-3*a*d)*log(c+d*x)/_
      (d^3*(b*c-a*d)^2)
@@ -7836,9 +7836,9 @@ r0:=x/(b*d^2)-c^3/(d^3*(b*c-a*d)*(c+d*x))-_
 --R       2 2 6       3   5    4 2 4      2 2   5       3 2 4    4 3 3
 --R     (a b d  - 2a b c d  + b c d )x + a b c d  - 2a b c d  + b c d
 --R                                                    Type: Expression(Integer)
---E  397
+--E 397
 
---S  398 of 1092
+--S 398 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7855,27 +7855,27 @@ a0:=integrate(t0,x)
 --R       2 2 6       3   5    4 2 4      2 2   5       3 2 4    4 3 3
 --R     (a b d  - 2a b c d  + b c d )x + a b c d  - 2a b c d  + b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  398
+--E 398
 
---S  399 of 1092
+--S 399 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  399
+--E 399
 
---S  400 of 1092
+--S 400 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  400
+--E 400
 
 )clear all
 
---S  401 of 1092
+--S 401 of 1092
 t0:=x^2/((a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -7885,9 +7885,9 @@ t0:=x^2/((a+b*x)*(c+d*x)^2)
 --R           2 3       2           2                2        2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  401
+--E 401
 
---S  402 of 1092
+--S 402 of 1092
 r0:=c^2/(d^2*(b*c-a*d)*(c+d*x))+a^2*log(a+b*x)/(b*(b*c-a*d)^2)+_
      c*(b*c-2*a*d)*log(c+d*x)/(d^2*(b*c-a*d)^2)
 --R 
@@ -7902,9 +7902,9 @@ r0:=c^2/(d^2*(b*c-a*d)*(c+d*x))+a^2*log(a+b*x)/(b*(b*c-a*d)^2)+_
 --R       2   5       2   4    3 2 3      2     4       2 2 3    3 3 2
 --R     (a b d  - 2a b c d  + b c d )x + a b c d  - 2a b c d  + b c d
 --R                                                    Type: Expression(Integer)
---E  402
+--E 402
 
---S  403 of 1092
+--S 403 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7918,27 +7918,27 @@ a0:=integrate(t0,x)
 --R       2   5       2   4    3 2 3      2     4       2 2 3    3 3 2
 --R     (a b d  - 2a b c d  + b c d )x + a b c d  - 2a b c d  + b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  403
+--E 403
 
---S  404 of 1092
+--S 404 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  404
+--E 404
 
---S  405 of 1092
+--S 405 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  405
+--E 405
 
 )clear all
 
---S  406 of 1092
+--S 406 of 1092
 t0:=x/((a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -7947,9 +7947,9 @@ t0:=x/((a+b*x)*(c+d*x)^2)
 --R           2 3       2           2                2        2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  406
+--E 406
 
---S  407 of 1092
+--S 407 of 1092
 r0:=-c/(d*(b*c-a*d)*(c+d*x))-a*log(a+b*x)/(b*c-a*d)^2+a*log(c+d*x)/(b*c-a*d)^2
 --R 
 --R
@@ -7960,9 +7960,9 @@ r0:=-c/(d*(b*c-a*d)*(c+d*x))-a*log(a+b*x)/(b*c-a*d)^2+a*log(c+d*x)/(b*c-a*d)^2
 --R              2 4           3    2 2 2      2   3         2 2    2 3
 --R            (a d  - 2a b c d  + b c d )x + a c d  - 2a b c d  + b c d
 --R                                                    Type: Expression(Integer)
---E  407
+--E 407
 
---S  408 of 1092
+--S 408 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -7973,27 +7973,27 @@ a0:=integrate(t0,x)
 --R              2 4           3    2 2 2      2   3         2 2    2 3
 --R            (a d  - 2a b c d  + b c d )x + a c d  - 2a b c d  + b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  408
+--E 408
 
---S  409 of 1092
+--S 409 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  409
+--E 409
 
---S  410 of 1092
+--S 410 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  410
+--E 410
 
 )clear all
 
---S  411 of 1092
+--S 411 of 1092
 t0:=1/((a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -8002,9 +8002,9 @@ t0:=1/((a+b*x)*(c+d*x)^2)
 --R           2 3       2           2                2        2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  411
+--E 411
 
---S  412 of 1092
+--S 412 of 1092
 r0:=1/((b*c-a*d)*(c+d*x))+b*log(a+b*x)/(b*c-a*d)^2-b*log(c+d*x)/(b*c-a*d)^2
 --R 
 --R
@@ -8013,9 +8013,9 @@ r0:=1/((b*c-a*d)*(c+d*x))+b*log(a+b*x)/(b*c-a*d)^2-b*log(c+d*x)/(b*c-a*d)^2
 --R                 2 3           2    2 2       2   2         2     2 3
 --R               (a d  - 2a b c d  + b c d)x + a c d  - 2a b c d + b c
 --R                                                    Type: Expression(Integer)
---E  412
+--E 412
 
---S  413 of 1092
+--S 413 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8024,27 +8024,27 @@ a0:=integrate(t0,x)
 --R                 2 3           2    2 2       2   2         2     2 3
 --R               (a d  - 2a b c d  + b c d)x + a c d  - 2a b c d + b c
 --R                                         Type: Union(Expression(Integer),...)
---E  413
+--E 413
 
---S  414 of 1092
+--S 414 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  414
+--E 414
 
---S  415 of 1092
+--S 415 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  415
+--E 415
 
 )clear all
 
---S  416 of 1092
+--S 416 of 1092
 t0:=1/(x*(a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -8053,9 +8053,9 @@ t0:=1/(x*(a+b*x)*(c+d*x)^2)
 --R           2 4       2           3                2  2      2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  416
+--E 416
 
---S  417 of 1092
+--S 417 of 1092
 r0:=-d/(c*(b*c-a*d)*(c+d*x))+log(x)/(a*c^2)-_
      b^2*log(a+b*x)/(a*(b*c-a*d)^2)+d*(2*b*c-a*d)*log(c+d*x)/(c^2*(b*c-a*d)^2)
 --R 
@@ -8076,9 +8076,9 @@ r0:=-d/(c*(b*c-a*d)*(c+d*x))+log(x)/(a*c^2)-_
 --R       3 2 3     2   3 2      2 4       3 3 2     2   4       2 5
 --R     (a c d  - 2a b c d  + a b c d)x + a c d  - 2a b c d + a b c
 --R                                                    Type: Expression(Integer)
---E  417
+--E 417
 
---S  418 of 1092
+--S 418 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8098,27 +8098,27 @@ a0:=integrate(t0,x)
 --R       3 2 3     2   3 2      2 4       3 3 2     2   4       2 5
 --R     (a c d  - 2a b c d  + a b c d)x + a c d  - 2a b c d + a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  418
+--E 418
 
---S  419 of 1092
+--S 419 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  419
+--E 419
 
---S  420 of 1092
+--S 420 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  420
+--E 420
 
 )clear all
 
---S  421 of 1092
+--S 421 of 1092
 t0:=1/(x^2*(a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -8127,9 +8127,9 @@ t0:=1/(x^2*(a+b*x)*(c+d*x)^2)
 --R           2 5       2           4                2  3      2 2
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  421
+--E 421
 
---S  422 of 1092
+--S 422 of 1092
 r0:=(-1)/(a*c^2*x)+d^2/(c^2*(b*c-a*d)*(c+d*x))-_
      (b*c+2*a*d)*log(x)/(a^2*c^3)+b^3*log(a+b*x)/(a^2*(b*c-a*d)^2)-_
      d^2*(3*b*c-2*a*d)*log(c+d*x)/(c^3*(b*c-a*d)^2)
@@ -8151,9 +8151,9 @@ r0:=(-1)/(a*c^2*x)+d^2/(c^2*(b*c-a*d)*(c+d*x))-_
 --R       4 3 3     3   4 2    2 2 5   2     4 4 2     3   5     2 2 6
 --R     (a c d  - 2a b c d  + a b c d)x  + (a c d  - 2a b c d + a b c )x
 --R                                                    Type: Expression(Integer)
---E  422
+--E 422
 
---S  423 of 1092
+--S 423 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8173,27 +8173,27 @@ a0:=integrate(t0,x)
 --R       4 3 3     3   4 2    2 2 5   2     4 4 2     3   5     2 2 6
 --R     (a c d  - 2a b c d  + a b c d)x  + (a c d  - 2a b c d + a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  423
+--E 423
 
---S  424 of 1092
+--S 424 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  424
+--E 424
 
---S  425 of 1092
+--S 425 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  425
+--E 425
 
 )clear all
 
---S  426 of 1092
+--S 426 of 1092
 t0:=1/(x^3*(a+b*x)*(c+d*x)^2)
 --R 
 --R
@@ -8202,9 +8202,9 @@ t0:=1/(x^3*(a+b*x)*(c+d*x)^2)
 --R           2 6       2           5                2  4      2 3
 --R        b d x  + (a d  + 2b c d)x  + (2a c d + b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  426
+--E 426
 
---S  427 of 1092
+--S 427 of 1092
 r0:=(-1/2)/(a*c^2*x^2)+(b*c+2*a*d)/(a^2*c^3*x)-_
      d^3/(c^3*(b*c-a*d)*(c+d*x))+(b^2*c^2+2*a*b*c*d+3*a^2*d^2)*log(x)/_
      (a^3*c^4)-b^4*log(a+b*x)/(a^3*(b*c-a*d)^2)+d^3*(4*b*c-3*a*d)*_
@@ -8230,9 +8230,9 @@ r0:=(-1/2)/(a*c^2*x^2)+(b*c+2*a*d)/(a^2*c^3*x)-_
 --R        5 4 3     4   5 2     3 2 6   3      5 5 2     4   6      3 2 7  2
 --R     (2a c d  - 4a b c d  + 2a b c d)x  + (2a c d  - 4a b c d + 2a b c )x
 --R                                                    Type: Expression(Integer)
---E  427
+--E 427
 
---S  428 of 1092
+--S 428 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8255,27 +8255,27 @@ a0:=integrate(t0,x)
 --R        5 4 3     4   5 2     3 2 6   3      5 5 2     4   6      3 2 7  2
 --R     (2a c d  - 4a b c d  + 2a b c d)x  + (2a c d  - 4a b c d + 2a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  428
+--E 428
 
---S  429 of 1092
+--S 429 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  429
+--E 429
 
---S  430 of 1092
+--S 430 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  430
+--E 430
 
 )clear all
 
---S  431 of 1092
+--S 431 of 1092
 t0:=x^m/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8286,9 +8286,9 @@ t0:=x^m/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                                    Type: Expression(Integer)
---E  431
+--E 431
 
---S  432 of 1092
+--S 432 of 1092
 --r0:=-1/2*d*x^(1+m)/(c*(b*c-a*d)*(c+d*x)^2)-_
 --     b*d*x^(1+m)/(c*(b*c-a*d)^2*(c+d*x))-_
 --     1/2*d*(1-m)*x^(1+m)/(c^2*(b*c-a*d)*(c+d*x))+_
@@ -8298,23 +8298,23 @@ t0:=x^m/((a+b*x)*(c+d*x)^3)
 --     hypergeometric(1,1+m,2+m,-d*x/c)/(c^2*(b*c-a*d)^2*(1+m))+_
 --     1/2*d*(1-m)*m*x^(1+m)*_
 --     hypergeometric(1,1+m,2+m,-d*x/c)/(c^3*(b*c-a*d)*(1+m))
---E  432
+--E 432
 
---S  433 of 1092
+--S 433 of 1092
 --a0:=integrate(t0,x)
---E  433
+--E 433
 
---S  434 of 1092
+--S 434 of 1092
 --m0:=a0-r0
---E  434
+--E 434
 
---S  435 of 1092
+--S 435 of 1092
 --d0:=D(m0,x)
---E  435
+--E 435
 
 )clear all
 
---S  436 of 1092
+--S 436 of 1092
 t0:=x^6/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8325,9 +8325,9 @@ t0:=x^6/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  436
+--E 436
 
---S  437 of 1092
+--S 437 of 1092
 r0:=(6*b^2*c^2+3*a*b*c*d+a^2*d^2)*x/(b^3*d^5)-_
      1/2*(3*b*c+a*d)*x^2/(b^2*d^4)+1/3*x^3/(b*d^3)+_
      1/2*c^6/(d^6*(b*c-a*d)*(c+d*x)^2)-_
@@ -8378,9 +8378,9 @@ r0:=(6*b^2*c^2+3*a*b*c*d+a^2*d^2)*x/(b^3*d^5)-_
 --R            2 5 3 8        6 4 7     7 5 6
 --R       - 18a b c d  + 18a b c d  - 6b c d
 --R                                                    Type: Expression(Integer)
---E  437
+--E 437
 
---S  438 of 1092
+--S 438 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8426,27 +8426,27 @@ a0:=integrate(t0,x)
 --R            2 5 3 8        6 4 7     7 5 6
 --R       - 18a b c d  + 18a b c d  - 6b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  438
+--E 438
 
---S  439 of 1092
+--S 439 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  439
+--E 439
 
---S  440 of 1092
+--S 440 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  440
+--E 440
 
 )clear all
 
---S  441 of 1092
+--S 441 of 1092
 t0:=x^5/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8457,9 +8457,9 @@ t0:=x^5/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  441
+--E 441
 
---S  442 of 1092
+--S 442 of 1092
 r0:=-(3*b*c+a*d)*x/(b^2*d^4)+1/2*x^2/(b*d^3)-_
      1/2*c^5/(d^5*(b*c-a*d)*(c+d*x)^2)+c^4*(4*b*c-5*a*d)/_
      (d^5*(b*c-a*d)^2*(c+d*x))-a^5*log(a+b*x)/(b^3*(b*c-a*d)^3)+_
@@ -8505,9 +8505,9 @@ r0:=-(3*b*c+a*d)*x/(b^2*d^4)+1/2*x^2/(b*d^3)-_
 --R           5 4 6     6 5 5
 --R       6a b c d  - 2b c d
 --R                                                    Type: Expression(Integer)
---E  442
+--E 442
 
---S  443 of 1092
+--S 443 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8550,27 +8550,27 @@ a0:=integrate(t0,x)
 --R           5 4 6     6 5 5
 --R       6a b c d  - 2b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  443
+--E 443
 
---S  444 of 1092
+--S 444 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  444
+--E 444
 
---S  445 of 1092
+--S 445 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  445
+--E 445
 
 )clear all
 
---S  446 of 1092
+--S 446 of 1092
 t0:=x^4/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8581,9 +8581,9 @@ t0:=x^4/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  446
+--E 446
 
---S  447 of 1092
+--S 447 of 1092
 r0:=x/(b*d^3)+1/2*c^4/(d^4*(b*c-a*d)*(c+d*x)^2)-_
      c^3*(3*b*c-4*a*d)/(d^4*(b*c-a*d)^2*(c+d*x))+_
      a^4*log(a+b*x)/(b^2*(b*c-a*d)^3)-_
@@ -8623,9 +8623,9 @@ r0:=x/(b*d^3)+1/2*c^4/(d^4*(b*c-a*d)*(c+d*x)^2)-_
 --R           4 4 5     5 5 4
 --R       6a b c d  - 2b c d
 --R                                                    Type: Expression(Integer)
---E  447
+--E 447
 
---S  448 of 1092
+--S 448 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8662,27 +8662,27 @@ a0:=integrate(t0,x)
 --R           4 4 5     5 5 4
 --R       6a b c d  - 2b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  448
+--E 448
 
---S  449 of 1092
+--S 449 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  449
+--E 449
 
---S  450 of 1092
+--S 450 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  450
+--E 450
 
 )clear all
 
---S  451 of 1092
+--S 451 of 1092
 t0:=x^3/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8693,9 +8693,9 @@ t0:=x^3/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  451
+--E 451
 
---S  452 of 1092
+--S 452 of 1092
 r0:=-1/2*c^3/(d^3*(b*c-a*d)*(c+d*x)^2)+c^2*(2*b*c-3*a*d)/_
      (d^3*(b*c-a*d)^2*(c+d*x))-a^3*log(a+b*x)/(b*(b*c-a*d)^3)+_
      c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)*log(c+d*x)/(d^3*(b*c-a*d)^3)
@@ -8725,9 +8725,9 @@ r0:=-1/2*c^3/(d^3*(b*c-a*d)*(c+d*x)^2)+c^2*(2*b*c-3*a*d)/_
 --R           3 4 4     4 5 3
 --R       6a b c d  - 2b c d
 --R                                                    Type: Expression(Integer)
---E  452
+--E 452
 
---S  453 of 1092
+--S 453 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8755,27 +8755,27 @@ a0:=integrate(t0,x)
 --R           3 4 4     4 5 3
 --R       6a b c d  - 2b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  453
+--E 453
 
---S  454 of 1092
+--S 454 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  454
+--E 454
 
---S  455 of 1092
+--S 455 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  455
+--E 455
 
 )clear all
 
---S  456 of 1092
+--S 456 of 1092
 t0:=x^2/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8786,9 +8786,9 @@ t0:=x^2/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  456
+--E 456
 
---S  457 of 1092
+--S 457 of 1092
 r0:=1/2*c^2/(d^2*(b*c-a*d)*(c+d*x)^2)-c*(b*c-2*a*d)/_
      (d^2*(b*c-a*d)^2*(c+d*x))+a^2*log(a+b*x)/(b*c-a*d)^3-_
      a^2*log(c+d*x)/(b*c-a*d)^3
@@ -8813,9 +8813,9 @@ r0:=1/2*c^2/(d^2*(b*c-a*d)*(c+d*x)^2)-c*(b*c-2*a*d)/_
 --R           2 4 3     3 5 2
 --R       6a b c d  - 2b c d
 --R                                                    Type: Expression(Integer)
---E  457
+--E 457
 
---S  458 of 1092
+--S 458 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8838,27 +8838,27 @@ a0:=integrate(t0,x)
 --R           2 4 3     3 5 2
 --R       6a b c d  - 2b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  458
+--E 458
 
---S  459 of 1092
+--S 459 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  459
+--E 459
 
---S  460 of 1092
+--S 460 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  460
+--E 460
 
 )clear all
 
---S  461 of 1092
+--S 461 of 1092
 t0:=x/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8868,9 +8868,9 @@ t0:=x/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  461
+--E 461
 
---S  462 of 1092
+--S 462 of 1092
 r0:=-1/2*c/(d*(b*c-a*d)*(c+d*x)^2)-a/((b*c-a*d)^2*(c+d*x))-_
      a*b*log(a+b*x)/(b*c-a*d)^3+a*b*log(c+d*x)/(b*c-a*d)^3
 --R 
@@ -8894,9 +8894,9 @@ r0:=-1/2*c/(d*(b*c-a*d)*(c+d*x)^2)-a/((b*c-a*d)^2*(c+d*x))-_
 --R           2 4 2     3 5
 --R       6a b c d  - 2b c d
 --R                                                    Type: Expression(Integer)
---E  462
+--E 462
 
---S  463 of 1092
+--S 463 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -8919,27 +8919,27 @@ a0:=integrate(t0,x)
 --R           2 4 2     3 5
 --R       6a b c d  - 2b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  463
+--E 463
 
---S  464 of 1092
+--S 464 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  464
+--E 464
 
---S  465 of 1092
+--S 465 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  465
+--E 465
 
 )clear all
 
---S  466 of 1092
+--S 466 of 1092
 t0:=1/((a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -8949,9 +8949,9 @@ t0:=1/((a+b*x)*(c+d*x)^3)
 --R      3 4       3         2  3          2       2   2        2       3        3
 --R   b d x  + (a d  + 3b c d )x  + (3a c d  + 3b c d)x  + (3a c d + b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  466
+--E 466
 
---S  467 of 1092
+--S 467 of 1092
 r0:=1/2/((b*c-a*d)*(c+d*x)^2)+b/((b*c-a*d)^2*(c+d*x))+_
      b^2*log(a+b*x)/(b*c-a*d)^3-b^2*log(c+d*x)/(b*c-a*d)^3
 --R 
@@ -8975,9 +8975,9 @@ r0:=1/2/((b*c-a*d)*(c+d*x)^2)+b/((b*c-a*d)^2*(c+d*x))+_
 --R           2 4      3 5
 --R       6a b c d - 2b c
 --R                                                    Type: Expression(Integer)
---E  467
+--E 467
 
---S  468 of 1092
+--S 468 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9000,27 +9000,27 @@ a0:=integrate(t0,x)
 --R           2 4      3 5
 --R       6a b c d - 2b c
 --R                                         Type: Union(Expression(Integer),...)
---E  468
+--E 468
 
---S  469 of 1092
+--S 469 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  469
+--E 469
 
---S  470 of 1092
+--S 470 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  470
+--E 470
 
 )clear all
 
---S  471 of 1092
+--S 471 of 1092
 t0:=1/(x*(a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -9033,9 +9033,9 @@ t0:=1/(x*(a+b*x)*(c+d*x)^3)
 --R          3
 --R       a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  471
+--E 471
 
---S  472 of 1092
+--S 472 of 1092
 r0:=-1/2*d/(c*(b*c-a*d)*(c+d*x)^2)-d*(2*b*c-a*d)/_
      (c^2*(b*c-a*d)^2*(c+d*x))+log(x)/(a*c^3)-_
      b^3*log(a+b*x)/(a*(b*c-a*d)^3)+d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*_
@@ -9077,9 +9077,9 @@ r0:=-1/2*d/(c*(b*c-a*d)*(c+d*x)^2)-d*(2*b*c-a*d)/_
 --R         2 2 7        3 8
 --R       6a b c d - 2a b c
 --R                                                    Type: Expression(Integer)
---E  472
+--E 472
 
---S  473 of 1092
+--S 473 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9118,27 +9118,27 @@ a0:=integrate(t0,x)
 --R         2 2 7        3 8
 --R       6a b c d - 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  473
+--E 473
 
---S  474 of 1092
+--S 474 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  474
+--E 474
 
---S  475 of 1092
+--S 475 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  475
+--E 475
 
 )clear all
 
---S  476 of 1092
+--S 476 of 1092
 t0:=1/(x^2*(a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -9151,9 +9151,9 @@ t0:=1/(x^2*(a+b*x)*(c+d*x)^3)
 --R          3 2
 --R       a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  476
+--E 476
 
---S  477 of 1092
+--S 477 of 1092
 r0:=(-1)/(a*c^3*x)+1/2*d^2/(c^2*(b*c-a*d)*(c+d*x)^2)+_
      d^2*(3*b*c-2*a*d)/(c^3*(b*c-a*d)^2*(c+d*x))-(b*c+3*a*d)*_
      log(x)/(a^2*c^4)+b^4*log(a+b*x)/(a^2*(b*c-a*d)^3)-_
@@ -9204,9 +9204,9 @@ r0:=(-1)/(a*c^3*x)+1/2*d^2/(c^2*(b*c-a*d)*(c+d*x)^2)+_
 --R          5 6 3     4   7 2     3 2 8      2 3 9
 --R       (2a c d  - 6a b c d  + 6a b c d - 2a b c )x
 --R                                                    Type: Expression(Integer)
---E  477
+--E 477
 
---S  478 of 1092
+--S 478 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9254,27 +9254,27 @@ a0:=integrate(t0,x)
 --R          5 6 3     4   7 2     3 2 8      2 3 9
 --R       (2a c d  - 6a b c d  + 6a b c d - 2a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  478
+--E 478
 
---S  479 of 1092
+--S 479 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  479
+--E 479
 
---S  480 of 1092
+--S 480 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  480
+--E 480
 
 )clear all
 
---S  481 of 1092
+--S 481 of 1092
 t0:=1/(x^3*(a+b*x)*(c+d*x)^3)
 --R 
 --R
@@ -9287,9 +9287,9 @@ t0:=1/(x^3*(a+b*x)*(c+d*x)^3)
 --R          3 3
 --R       a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  481
+--E 481
 
---S  482 of 1092
+--S 482 of 1092
 r0:=(-1/2)/(a*c^3*x^2)+(b*c+3*a*d)/(a^2*c^4*x)-1/2*d^3/(c^3*(b*c-a*d)*_
      (c+d*x)^2)-d^3*(4*b*c-3*a*d)/(c^4*(b*c-a*d)^2*(c+d*x))+_
      (b^2*c^2+3*a*b*c*d+6*a^2*d^2)*log(x)/(a^3*c^5)-b^5*_
@@ -9344,9 +9344,9 @@ r0:=(-1/2)/(a*c^3*x^2)+(b*c+3*a*d)/(a^2*c^4*x)-1/2*d^3/(c^3*(b*c-a*d)*_
 --R          6 7 3     5   8 2     4 2 9      3 3 10  2
 --R       (2a c d  - 6a b c d  + 6a b c d - 2a b c  )x
 --R                                                    Type: Expression(Integer)
---E  482
+--E 482
 
---S  483 of 1092
+--S 483 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9397,27 +9397,27 @@ a0:=integrate(t0,x)
 --R          6 7 3     5   8 2     4 2 9      3 3 10  2
 --R       (2a c d  - 6a b c d  + 6a b c d - 2a b c  )x
 --R                                         Type: Union(Expression(Integer),...)
---E  483
+--E 483
 
---S  484 of 1092
+--S 484 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  484
+--E 484
 
---S  485 of 1092
+--S 485 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  485
+--E 485
 
 )clear all
 
---S  486 of 1092
+--S 486 of 1092
 t0:=x^4*(c+d*x)^2/(a+b*x)^2
 --R 
 --R
@@ -9427,9 +9427,9 @@ t0:=x^4*(c+d*x)^2/(a+b*x)^2
 --R           2 2             2
 --R          b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  486
+--E 486
 
---S  487 of 1092
+--S 487 of 1092
 r0:=a^2*(3*b*c-5*a*d)*(b*c-a*d)*x/b^6-a*(b*c-2*a*d)*(b*c-a*d)*x^2/b^5+_
      1/3*(b*c-3*a*d)*(b*c-a*d)*x^3/b^4+1/2*d*(b*c-a*d)*x^4/b^3+_
      1/5*d^2*x^5/b^2-a^4*(b*c-a*d)^2/(b^7*(a+b*x))-_
@@ -9460,9 +9460,9 @@ r0:=a^2*(3*b*c-5*a*d)*(b*c-a*d)*x/b^6-a*(b*c-2*a*d)*(b*c-a*d)*x^2/b^5+_
 --R        8         7
 --R     30b x + 30a b
 --R                                                    Type: Expression(Integer)
---E  487
+--E 487
 
---S  488 of 1092
+--S 488 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9490,27 +9490,27 @@ a0:=integrate(t0,x)
 --R        8         7
 --R     30b x + 30a b
 --R                                         Type: Union(Expression(Integer),...)
---E  488
+--E 488
 
---S  489 of 1092
+--S 489 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  489
+--E 489
 
---S  490 of 1092
+--S 490 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  490
+--E 490
 
 )clear all
 
---S  491 of 1092
+--S 491 of 1092
 t0:=x^3*(c+d*x)^2/(a+b*x)^2
 --R 
 --R
@@ -9520,9 +9520,9 @@ t0:=x^3*(c+d*x)^2/(a+b*x)^2
 --R           2 2             2
 --R          b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  491
+--E 491
 
---S  492 of 1092
+--S 492 of 1092
 r0:=-2*a*(b*c-2*a*d)*(b*c-a*d)*x/b^5+1/2*(b*c-3*a*d)*(b*c-a*d)*x^2/b^4+_
      2/3*d*(b*c-a*d)*x^3/b^3+1/4*d^2*x^4/b^2+_
      a^3*(b*c-a*d)^2/(b^6*(a+b*x))+a^2*(3*b*c-5*a*d)*(b*c-a*d)*log(a+b*x)/b^6
@@ -9546,9 +9546,9 @@ r0:=-2*a*(b*c-2*a*d)*(b*c-a*d)*x/b^5+1/2*(b*c-3*a*d)*(b*c-a*d)*x^2/b^4+_
 --R        7         6
 --R     12b x + 12a b
 --R                                                    Type: Expression(Integer)
---E  492
+--E 492
 
---S  493 of 1092
+--S 493 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9570,27 +9570,27 @@ a0:=integrate(t0,x)
 --R        7         6
 --R     12b x + 12a b
 --R                                         Type: Union(Expression(Integer),...)
---E  493
+--E 493
 
---S  494 of 1092
+--S 494 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  494
+--E 494
 
---S  495 of 1092
+--S 495 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  495
+--E 495
 
 )clear all
 
---S  496 of 1092
+--S 496 of 1092
 t0:=x^2*(c+d*x)^2/(a+b*x)^2
 --R 
 --R
@@ -9600,9 +9600,9 @@ t0:=x^2*(c+d*x)^2/(a+b*x)^2
 --R           2 2             2
 --R          b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  496
+--E 496
 
---S  497 of 1092
+--S 497 of 1092
 r0:=(b*c-3*a*d)*(b*c-a*d)*x/b^4+d*(b*c-a*d)*x^2/b^3+1/3*d^2*x^3/b^2-_
      a^2*(b*c-a*d)^2/(b^5*(a+b*x))-2*a*(b*c-2*a*d)*(b*c-a*d)*log(a+b*x)/b^5
 --R 
@@ -9622,9 +9622,9 @@ r0:=(b*c-3*a*d)*(b*c-a*d)*x/b^4+d*(b*c-a*d)*x^2/b^3+1/3*d^2*x^3/b^2-_
 --R       6        5
 --R     3b x + 3a b
 --R                                                    Type: Expression(Integer)
---E  497
+--E 497
 
---S  498 of 1092
+--S 498 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9643,27 +9643,27 @@ a0:=integrate(t0,x)
 --R       6        5
 --R     3b x + 3a b
 --R                                         Type: Union(Expression(Integer),...)
---E  498
+--E 498
 
---S  499 of 1092
+--S 499 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  499
+--E 499
 
---S  500 of 1092
+--S 500 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  500
+--E 500
 
 )clear all
 
---S  501 of 1092
+--S 501 of 1092
 t0:=x*(c+d*x)^2/(a+b*x)^2
 --R 
 --R
@@ -9673,9 +9673,9 @@ t0:=x*(c+d*x)^2/(a+b*x)^2
 --R          2 2             2
 --R         b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  501
+--E 501
 
---S  502 of 1092
+--S 502 of 1092
 r0:=2*d*(b*c-a*d)*x/b^3+1/2*d^2*x^2/b^2+a*(b*c-a*d)^2/(b^4*(a+b*x))+_
      (b*c-3*a*d)*(b*c-a*d)*log(a+b*x)/b^4
 --R 
@@ -9693,9 +9693,9 @@ r0:=2*d*(b*c-a*d)*x/b^3+1/2*d^2*x^2/b^2+a*(b*c-a*d)^2/(b^4*(a+b*x))+_
 --R       5        4
 --R     2b x + 2a b
 --R                                                    Type: Expression(Integer)
---E  502
+--E 502
 
---S  503 of 1092
+--S 503 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9712,27 +9712,27 @@ a0:=integrate(t0,x)
 --R       5        4
 --R     2b x + 2a b
 --R                                         Type: Union(Expression(Integer),...)
---E  503
+--E 503
 
---S  504 of 1092
+--S 504 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  504
+--E 504
 
---S  505 of 1092
+--S 505 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  505
+--E 505
 
 )clear all
 
---S  506 of 1092
+--S 506 of 1092
 t0:=(c+d*x)^2/(a+b*x)^2
 --R 
 --R
@@ -9742,9 +9742,9 @@ t0:=(c+d*x)^2/(a+b*x)^2
 --R         2 2             2
 --R        b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  506
+--E 506
 
---S  507 of 1092
+--S 507 of 1092
 r0:=d^2*x/b^2-(b*c-a*d)^2/(b^3*(a+b*x))+2*d*(b*c-a*d)*log(a+b*x)/b^3
 --R 
 --R
@@ -9758,9 +9758,9 @@ r0:=d^2*x/b^2-(b*c-a*d)^2/(b^3*(a+b*x))+2*d*(b*c-a*d)*log(a+b*x)/b^3
 --R      4       3
 --R     b x + a b
 --R                                                    Type: Expression(Integer)
---E  507
+--E 507
 
---S  508 of 1092
+--S 508 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9774,27 +9774,27 @@ a0:=integrate(t0,x)
 --R      4       3
 --R     b x + a b
 --R                                         Type: Union(Expression(Integer),...)
---E  508
+--E 508
 
---S  509 of 1092
+--S 509 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  509
+--E 509
 
---S  510 of 1092
+--S 510 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  510
+--E 510
 
 )clear all
 
---S  511 of 1092
+--S 511 of 1092
 t0:=(c+d*x)^2/(x*(a+b*x)^2)
 --R 
 --R
@@ -9804,9 +9804,9 @@ t0:=(c+d*x)^2/(x*(a+b*x)^2)
 --R         2 3         2    2
 --R        b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  511
+--E 511
 
---S  512 of 1092
+--S 512 of 1092
 r0:=(b*c-a*d)^2/(a*b^2*(a+b*x))+c^2*log(x)/a^2-(c^2/a^2-d^2/b^2)*log(a+b*x)
 --R 
 --R
@@ -9820,9 +9820,9 @@ r0:=(b*c-a*d)^2/(a*b^2*(a+b*x))+c^2*log(x)/a^2-(c^2/a^2-d^2/b^2)*log(a+b*x)
 --R      2 3     3 2
 --R     a b x + a b
 --R                                                    Type: Expression(Integer)
---E  512
+--E 512
 
---S  513 of 1092
+--S 513 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9836,27 +9836,27 @@ a0:=integrate(t0,x)
 --R      2 3     3 2
 --R     a b x + a b
 --R                                         Type: Union(Expression(Integer),...)
---E  513
+--E 513
 
---S  514 of 1092
+--S 514 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  514
+--E 514
 
---S  515 of 1092
+--S 515 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  515
+--E 515
 
 )clear all
 
---S  516 of 1092
+--S 516 of 1092
 t0:=(c+d*x)^2/(x^2*(a+b*x)^2)
 --R 
 --R
@@ -9866,9 +9866,9 @@ t0:=(c+d*x)^2/(x^2*(a+b*x)^2)
 --R         2 4         3    2 2
 --R        b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  516
+--E 516
 
---S  517 of 1092
+--S 517 of 1092
 r0:=-c^2/(a^2*x)-(b*c-a*d)^2/(a^2*b*(a+b*x))-2*c*(b*c-a*d)*_
      log(x)/a^3+2*c*(b*c-a*d)*log(a+b*x)/a^3
 --R 
@@ -9886,9 +9886,9 @@ r0:=-c^2/(a^2*x)-(b*c-a*d)^2/(a^2*b*(a+b*x))-2*c*(b*c-a*d)*_
 --R      3 2 2    4
 --R     a b x  + a b x
 --R                                                    Type: Expression(Integer)
---E  517
+--E 517
 
---S  518 of 1092
+--S 518 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9905,27 +9905,27 @@ a0:=integrate(t0,x)
 --R      3 2 2    4
 --R     a b x  + a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  518
+--E 518
 
---S  519 of 1092
+--S 519 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  519
+--E 519
 
---S  520 of 1092
+--S 520 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  520
+--E 520
 
 )clear all
 
---S  521 of 1092
+--S 521 of 1092
 t0:=(c+d*x)^2/(x^3*(a+b*x)^2)
 --R 
 --R
@@ -9935,9 +9935,9 @@ t0:=(c+d*x)^2/(x^3*(a+b*x)^2)
 --R         2 5         4    2 3
 --R        b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  521
+--E 521
 
---S  522 of 1092
+--S 522 of 1092
 r0:=-1/2*c^2/(a^2*x^2)+2*c*(b*c-a*d)/(a^3*x)+(b*c-a*d)^2/(a^3*(a+b*x))+_
      (b*c-a*d)*(3*b*c-a*d)*log(x)/a^4-(b*c-a*d)*(3*b*c-a*d)*log(a+b*x)/a^4
 --R 
@@ -9957,9 +9957,9 @@ r0:=-1/2*c^2/(a^2*x^2)+2*c*(b*c-a*d)/(a^3*x)+(b*c-a*d)^2/(a^3*(a+b*x))+_
 --R       4   3     5 2
 --R     2a b x  + 2a x
 --R                                                    Type: Expression(Integer)
---E  522
+--E 522
 
---S  523 of 1092
+--S 523 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -9978,27 +9978,27 @@ a0:=integrate(t0,x)
 --R       4   3     5 2
 --R     2a b x  + 2a x
 --R                                         Type: Union(Expression(Integer),...)
---E  523
+--E 523
 
---S  524 of 1092
+--S 524 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  524
+--E 524
 
---S  525 of 1092
+--S 525 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  525
+--E 525
 
 )clear all
 
---S  526 of 1092
+--S 526 of 1092
 t0:=(c+d*x)^2/(x^4*(a+b*x)^2)
 --R 
 --R
@@ -10008,9 +10008,9 @@ t0:=(c+d*x)^2/(x^4*(a+b*x)^2)
 --R         2 6         5    2 4
 --R        b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  526
+--E 526
 
---S  527 of 1092
+--S 527 of 1092
 r0:=-1/3*c^2/(a^2*x^3)+c*(b*c-a*d)/(a^3*x^2)-(b*c-a*d)*(3*b*c-a*d)/_
      (a^4*x)-b*(b*c-a*d)^2/(a^4*(a+b*x))-2*b*(b*c-a*d)*(2*b*c-a*d)*_
      log(x)/a^5+2*b*(b*c-a*d)*(2*b*c-a*d)*log(a+b*x)/a^5
@@ -10039,9 +10039,9 @@ r0:=-1/3*c^2/(a^2*x^3)+c*(b*c-a*d)/(a^3*x^2)-(b*c-a*d)*(3*b*c-a*d)/_
 --R       5   4     6 3
 --R     3a b x  + 3a x
 --R                                                    Type: Expression(Integer)
---E  527
+--E 527
 
---S  528 of 1092
+--S 528 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10068,27 +10068,27 @@ a0:=integrate(t0,x)
 --R       5   4     6 3
 --R     3a b x  + 3a x
 --R                                         Type: Union(Expression(Integer),...)
---E  528
+--E 528
 
---S  529 of 1092
+--S 529 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  529
+--E 529
 
---S  530 of 1092
+--S 530 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  530
+--E 530
 
 )clear all
 
---S  531 of 1092
+--S 531 of 1092
 t0:=(c+d*x)^2/(x^5*(a+b*x)^2)
 --R 
 --R
@@ -10098,9 +10098,9 @@ t0:=(c+d*x)^2/(x^5*(a+b*x)^2)
 --R         2 7         6    2 5
 --R        b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  531
+--E 531
 
---S  532 of 1092
+--S 532 of 1092
 r0:=-1/4*c^2/(a^2*x^4)+2/3*c*(b*c-a*d)/(a^3*x^3)-1/2*(b*c-a*d)*_
      (3*b*c-a*d)/(a^4*x^2)+2*b*(b*c-a*d)*(2*b*c-a*d)/(a^5*x)+_
      b^2*(b*c-a*d)^2/(a^5*(a+b*x))+b^2*(5*b*c-3*a*d)*(b*c-a*d)*_
@@ -10133,9 +10133,9 @@ r0:=-1/4*c^2/(a^2*x^4)+2/3*c*(b*c-a*d)/(a^3*x^3)-1/2*(b*c-a*d)*_
 --R        6   5      7 4
 --R     12a b x  + 12a x
 --R                                                    Type: Expression(Integer)
---E  532
+--E 532
 
---S  533 of 1092
+--S 533 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10165,27 +10165,27 @@ a0:=integrate(t0,x)
 --R        6   5      7 4
 --R     12a b x  + 12a x
 --R                                         Type: Union(Expression(Integer),...)
---E  533
+--E 533
 
---S  534 of 1092
+--S 534 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  534
+--E 534
 
---S  535 of 1092
+--S 535 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  535
+--E 535
 
 )clear all
 
---S  536 of 1092
+--S 536 of 1092
 t0:=x^4*(c+d*x)^3/(a+b*x)^2
 --R 
 --R
@@ -10195,9 +10195,9 @@ t0:=x^4*(c+d*x)^3/(a+b*x)^2
 --R                2 2             2
 --R               b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  536
+--E 536
 
---S  537 of 1092
+--S 537 of 1092
 r0:=3*a^2*(b*c-2*a*d)*(b*c-a*d)^2*x/b^7-1/2*a*(2*b*c-5*a*d)*_
      (b*c-a*d)^2*x^2/b^6+1/3*(b*c-4*a*d)*(b*c-a*d)^2*x^3/b^5+_
      3/4*d*(b*c-a*d)^2*x^4/b^4+1/5*d^2*(3*b*c-2*a*d)*x^5/b^3+_
@@ -10238,9 +10238,9 @@ r0:=3*a^2*(b*c-2*a*d)*(b*c-a*d)^2*x/b^7-1/2*a*(2*b*c-5*a*d)*_
 --R        9         8
 --R     60b x + 60a b
 --R                                                    Type: Expression(Integer)
---E  537
+--E 537
 
---S  538 of 1092
+--S 538 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10277,27 +10277,27 @@ a0:=integrate(t0,x)
 --R        9         8
 --R     60b x + 60a b
 --R                                         Type: Union(Expression(Integer),...)
---E  538
+--E 538
 
---S  539 of 1092
+--S 539 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  539
+--E 539
 
---S  540 of 1092
+--S 540 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  540
+--E 540
 
 )clear all
 
---S  541 of 1092
+--S 541 of 1092
 t0:=x^3*(c+d*x)^3/(a+b*x)^2
 --R 
 --R
@@ -10307,9 +10307,9 @@ t0:=x^3*(c+d*x)^3/(a+b*x)^2
 --R                2 2             2
 --R               b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  541
+--E 541
 
---S  542 of 1092
+--S 542 of 1092
 r0:=-a*(2*b*c-5*a*d)*(b*c-a*d)^2*x/b^6+1/2*(b*c-4*a*d)*(b*c-a*d)^2*_
      x^2/b^5+d*(b*c-a*d)^2*x^3/b^4+1/4*d^2*(3*b*c-2*a*d)*x^4/b^3+_
      1/5*d^3*x^5/b^2+a^3*(b*c-a*d)^3/(b^7*(a+b*x))+_
@@ -10343,9 +10343,9 @@ r0:=-a*(2*b*c-5*a*d)*(b*c-a*d)^2*x/b^6+1/2*(b*c-4*a*d)*(b*c-a*d)^2*_
 --R        8         7
 --R     20b x + 20a b
 --R                                                    Type: Expression(Integer)
---E  542
+--E 542
 
---S  543 of 1092
+--S 543 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10376,27 +10376,27 @@ a0:=integrate(t0,x)
 --R        8         7
 --R     20b x + 20a b
 --R                                         Type: Union(Expression(Integer),...)
---E  543
+--E 543
 
---S  544 of 1092
+--S 544 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  544
+--E 544
 
---S  545 of 1092
+--S 545 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  545
+--E 545
 
 )clear all
 
---S  546 of 1092
+--S 546 of 1092
 t0:=x^2*(c+d*x)^3/(a+b*x)^2
 --R 
 --R
@@ -10406,9 +10406,9 @@ t0:=x^2*(c+d*x)^3/(a+b*x)^2
 --R                2 2             2
 --R               b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  546
+--E 546
 
---S  547 of 1092
+--S 547 of 1092
 r0:=(b*c-4*a*d)*(b*c-a*d)^2*x/b^5+3/2*d*(b*c-a*d)^2*x^2/b^4+_
      1/3*d^2*(3*b*c-2*a*d)*x^3/b^3+1/4*d^3*x^4/b^2-a^2*_
      (b*c-a*d)^3/(b^6*(a+b*x))-a*(2*b*c-5*a*d)*(b*c-a*d)^2*log(a+b*x)/b^6
@@ -10438,9 +10438,9 @@ r0:=(b*c-4*a*d)*(b*c-a*d)^2*x/b^5+3/2*d*(b*c-a*d)^2*x^2/b^4+_
 --R        7         6
 --R     12b x + 12a b
 --R                                                    Type: Expression(Integer)
---E  547
+--E 547
 
---S  548 of 1092
+--S 548 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10468,27 +10468,27 @@ a0:=integrate(t0,x)
 --R        7         6
 --R     12b x + 12a b
 --R                                         Type: Union(Expression(Integer),...)
---E  548
+--E 548
 
---S  549 of 1092
+--S 549 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  549
+--E 549
 
---S  550 of 1092
+--S 550 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  550
+--E 550
 
 )clear all
 
---S  551 of 1092
+--S 551 of 1092
 t0:=x*(c+d*x)^3/(a+b*x)^2
 --R 
 --R
@@ -10498,7 +10498,7 @@ t0:=x*(c+d*x)^3/(a+b*x)^2
 --R               2 2             2
 --R              b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  551
+--E 551
 
 --S 552 of 1092
 r0:=3*d*(b*c-a*d)^2*x/b^4+1/2*d^2*(3*b*c-2*a*d)*x^2/b^3+1/3*d^3*x^3/b^2+_
@@ -10528,7 +10528,7 @@ r0:=3*d*(b*c-a*d)^2*x/b^4+1/2*d^2*(3*b*c-2*a*d)*x^2/b^3+1/3*d^3*x^3/b^2+_
 --R                                                    Type: Expression(Integer)
 --E 552
 
---S  553 of 1092
+--S 553 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10553,27 +10553,27 @@ a0:=integrate(t0,x)
 --R       6        5
 --R     6b x + 6a b
 --R                                         Type: Union(Expression(Integer),...)
---E  553
+--E 553
 
---S  554 of 1092
+--S 554 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  554
+--E 554
 
---S  555 of 1092
+--S 555 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  555
+--E 555
 
 )clear all
 
---S  556 of 1092
+--S 556 of 1092
 t0:=(c+d*x)^3/(a+b*x)^2
 --R 
 --R
@@ -10583,9 +10583,9 @@ t0:=(c+d*x)^3/(a+b*x)^2
 --R              2 2             2
 --R             b x  + 2a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  556
+--E 556
 
---S  557 of 1092
+--S 557 of 1092
 r0:=d^2*(3*b*c-2*a*d)*x/b^3+1/2*d^3*x^2/b^2-(b*c-a*d)^3/(b^4*(a+b*x))+_
      3*d*(b*c-a*d)^2*log(a+b*x)/b^4
 --R 
@@ -10605,9 +10605,9 @@ r0:=d^2*(3*b*c-2*a*d)*x/b^3+1/2*d^3*x^2/b^2-(b*c-a*d)^3/(b^4*(a+b*x))+_
 --R       5        4
 --R     2b x + 2a b
 --R                                                    Type: Expression(Integer)
---E  557
+--E 557
 
---S  558 of 1092
+--S 558 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10626,27 +10626,27 @@ a0:=integrate(t0,x)
 --R       5        4
 --R     2b x + 2a b
 --R                                         Type: Union(Expression(Integer),...)
---E  558
+--E 558
 
---S  559 of 1092
+--S 559 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  559
+--E 559
 
---S  560 of 1092
+--S 560 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  560
+--E 560
 
 )clear all
 
---S  561 of 1092
+--S 561 of 1092
 t0:=(c+d*x)^3/(x*(a+b*x)^2)
 --R 
 --R
@@ -10656,9 +10656,9 @@ t0:=(c+d*x)^3/(x*(a+b*x)^2)
 --R             2 3         2    2
 --R            b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  561
+--E 561
 
---S  562 of 1092
+--S 562 of 1092
 r0:=d^3*x/b^2+(b*c-a*d)^3/(a*b^3*(a+b*x))+c^3*log(x)/a^2-_
      (b*c-a*d)^2*(b*c+2*a*d)*log(a+b*x)/(a^2*b^3)
 --R 
@@ -10678,9 +10678,9 @@ r0:=d^3*x/b^2+(b*c-a*d)^3/(a*b^3*(a+b*x))+c^3*log(x)/a^2-_
 --R      2 4     3 3
 --R     a b x + a b
 --R                                                    Type: Expression(Integer)
---E  562
+--E 562
 
---S  563 of 1092
+--S 563 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10699,27 +10699,27 @@ a0:=integrate(t0,x)
 --R      2 4     3 3
 --R     a b x + a b
 --R                                         Type: Union(Expression(Integer),...)
---E  563
+--E 563
 
---S  564 of 1092
+--S 564 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  564
+--E 564
 
---S  565 of 1092
+--S 565 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  565
+--E 565
 
 )clear all
 
---S  566 of 1092
+--S 566 of 1092
 t0:=(c+d*x)^3/(x^2*(a+b*x)^2)
 --R 
 --R
@@ -10729,9 +10729,9 @@ t0:=(c+d*x)^3/(x^2*(a+b*x)^2)
 --R             2 4         3    2 2
 --R            b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  566
+--E 566
 
---S  567 of 1092
+--S 567 of 1092
 r0:=-c^3/(a^2*x)-(b*c-a*d)^3/(a^2*b^2*(a+b*x))-c^2*(2*b*c-3*a*d)*_
      log(x)/a^3+(b*c-a*d)^2*(2*b*c+a*d)*log(a+b*x)/(a^3*b^2)
 --R 
@@ -10751,9 +10751,9 @@ r0:=-c^3/(a^2*x)-(b*c-a*d)^3/(a^2*b^2*(a+b*x))-c^2*(2*b*c-3*a*d)*_
 --R      3 3 2    4 2
 --R     a b x  + a b x
 --R                                                    Type: Expression(Integer)
---E  567
+--E 567
 
---S  568 of 1092
+--S 568 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10772,27 +10772,27 @@ a0:=integrate(t0,x)
 --R      3 3 2    4 2
 --R     a b x  + a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  568
+--E 568
 
---S  569 of 1092
+--S 569 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  569
+--E 569
 
---S  570 of 1092
+--S 570 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  570
+--E 570
 
 )clear all
 
---S  571 of 1092
+--S 571 of 1092
 t0:=(c+d*x)^3/(x^3*(a+b*x)^2)
 --R 
 --R
@@ -10802,9 +10802,9 @@ t0:=(c+d*x)^3/(x^3*(a+b*x)^2)
 --R             2 5         4    2 3
 --R            b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  571
+--E 571
 
---S  572 of 1092
+--S 572 of 1092
 r0:=-1/2*c^3/(a^2*x^2)+c^2*(2*b*c-3*a*d)/(a^3*x)+(b*c-a*d)^3/_
      (a^3*b*(a+b*x))+3*c*(b*c-a*d)^2*log(x)/a^4-3*c*(b*c-a*d)^2*log(a+b*x)/a^4
 --R 
@@ -10835,9 +10835,9 @@ r0:=-1/2*c^3/(a^2*x^2)+c^2*(2*b*c-3*a*d)/(a^3*x)+(b*c-a*d)^3/_
 --R       4 2 3     5   2
 --R     2a b x  + 2a b x
 --R                                                    Type: Expression(Integer)
---E  572
+--E 572
 
---S  573 of 1092
+--S 573 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10867,27 +10867,27 @@ a0:=integrate(t0,x)
 --R       4 2 3     5   2
 --R     2a b x  + 2a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  573
+--E 573
 
---S  574 of 1092
+--S 574 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  574
+--E 574
 
---S  575 of 1092
+--S 575 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  575
+--E 575
 
 )clear all
 
---S  576 of 1092
+--S 576 of 1092
 t0:=(c+d*x)^3/(x^4*(a+b*x)^2)
 --R 
 --R
@@ -10897,9 +10897,9 @@ t0:=(c+d*x)^3/(x^4*(a+b*x)^2)
 --R             2 6         5    2 4
 --R            b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  576
+--E 576
 
---S  577 of 1092
+--S 577 of 1092
 r0:=-1/3*c^3/(a^2*x^3)+1/2*c^2*(2*b*c-3*a*d)/(a^3*x^2)-3*c*(b*c-a*d)^2/_
      (a^4*x)-(b*c-a*d)^3/(a^4*(a+b*x))-(b*c-a*d)^2*(4*b*c-a*d)*log(x)/_
      a^5+(b*c-a*d)^2*(4*b*c-a*d)*log(a+b*x)/a^5
@@ -10931,9 +10931,9 @@ r0:=-1/3*c^3/(a^2*x^3)+1/2*c^2*(2*b*c-3*a*d)/(a^3*x^2)-3*c*(b*c-a*d)^2/_
 --R       5   4     6 3
 --R     6a b x  + 6a x
 --R                                                    Type: Expression(Integer)
---E  577
+--E 577
 
---S  578 of 1092
+--S 578 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -10963,27 +10963,27 @@ a0:=integrate(t0,x)
 --R       5   4     6 3
 --R     6a b x  + 6a x
 --R                                         Type: Union(Expression(Integer),...)
---E  578
+--E 578
 
---S  579 of 1092
+--S 579 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  579
+--E 579
 
---S  580 of 1092
+--S 580 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  580
+--E 580
 
 )clear all
 
---S  581 of 1092
+--S 581 of 1092
 t0:=(c+d*x)^3/(x^5*(a+b*x)^2)
 --R 
 --R
@@ -10993,9 +10993,9 @@ t0:=(c+d*x)^3/(x^5*(a+b*x)^2)
 --R             2 7         6    2 5
 --R            b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  581
+--E 581
 
---S  582 of 1092
+--S 582 of 1092
 r0:=-1/4*c^3/(a^2*x^4)+1/3*c^2*(2*b*c-3*a*d)/(a^3*x^3)-_
      3/2*c*(b*c-a*d)^2/(a^4*x^2)+(b*c-a*d)^2*(4*b*c-a*d)/_
      (a^5*x)+b*(b*c-a*d)^3/(a^5*(a+b*x))+b*(5*b*c-2*a*d)*_
@@ -11031,9 +11031,9 @@ r0:=-1/4*c^3/(a^2*x^4)+1/3*c^2*(2*b*c-3*a*d)/(a^3*x^3)-_
 --R        6   5      7 4
 --R     12a b x  + 12a x
 --R                                                    Type: Expression(Integer)
---E  582
+--E 582
 
---S  583 of 1092
+--S 583 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11066,27 +11066,27 @@ a0:=integrate(t0,x)
 --R        6   5      7 4
 --R     12a b x  + 12a x
 --R                                         Type: Union(Expression(Integer),...)
---E  583
+--E 583
 
---S  584 of 1092
+--S 584 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  584
+--E 584
 
---S  585 of 1092
+--S 585 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  585
+--E 585
 
 )clear all
 
---S  586 of 1092
+--S 586 of 1092
 t0:=(c+d*x)^3/(x^6*(a+b*x)^2)
 --R 
 --R
@@ -11096,9 +11096,9 @@ t0:=(c+d*x)^3/(x^6*(a+b*x)^2)
 --R             2 8         7    2 6
 --R            b x  + 2a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  586
+--E 586
 
---S  587 of 1092
+--S 587 of 1092
 r0:=-1/5*c^3/(a^2*x^5)+1/4*c^2*(2*b*c-3*a*d)/(a^3*x^4)-c*(b*c-a*d)^2/_
      (a^4*x^3)+1/2*(b*c-a*d)^2*(4*b*c-a*d)/(a^5*x^2)-_
      b*(5*b*c-2*a*d)*(b*c-a*d)^2/(a^6*x)-b^2*(b*c-a*d)^3/_
@@ -11138,9 +11138,9 @@ r0:=-1/5*c^3/(a^2*x^5)+1/4*c^2*(2*b*c-3*a*d)/(a^3*x^4)-c*(b*c-a*d)^2/_
 --R        7   6      8 5
 --R     20a b x  + 20a x
 --R                                                    Type: Expression(Integer)
---E  587
+--E 587
 
---S  588 of 1092
+--S 588 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11176,27 +11176,27 @@ a0:=integrate(t0,x)
 --R        7   6      8 5
 --R     20a b x  + 20a x
 --R                                         Type: Union(Expression(Integer),...)
---E  588
+--E 588
 
---S  589 of 1092
+--S 589 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  589
+--E 589
 
---S  590 of 1092
+--S 590 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  590
+--E 590
 
 )clear all
 
---S  591 of 1092
+--S 591 of 1092
 t0:=(2-3*x)^3*sqrt(x)/(1+x)^2
 --R 
 --R
@@ -11206,9 +11206,9 @@ t0:=(2-3*x)^3*sqrt(x)/(1+x)^2
 --R                  2
 --R                 x  + 2x + 1
 --R                                                    Type: Expression(Integer)
---E  591
+--E 591
 
---S  592 of 1092
+--S 592 of 1092
 r0a:=72*x^(3/2)-54/5*x^(5/2)+575*atan(sqrt(x))-450*sqrt(x)-_
      125*sqrt(x)/(1+x)
 --R 
@@ -11218,9 +11218,9 @@ r0a:=72*x^(3/2)-54/5*x^(5/2)+575*atan(sqrt(x))-450*sqrt(x)-_
 --R   (2)  --------------------------------------------------------------
 --R                                    5x + 5
 --R                                                    Type: Expression(Integer)
---E  592
+--E 592
 
---S  593 of 1092
+--S 593 of 1092
 r0b:=575*atan(sqrt(x))-2689/5*sqrt(x)-_
      1/5*(62-513*x)*sqrt(x)-21/5*(2-3*x)^2*sqrt(x)-(2-3*x)^3*sqrt(x)/(1+x)
 --R 
@@ -11230,9 +11230,9 @@ r0b:=575*atan(sqrt(x))-2689/5*sqrt(x)-_
 --R   (3)  --------------------------------------------------------------
 --R                                    5x + 5
 --R                                                    Type: Expression(Integer)
---E  593
+--E 593
 
---S  594 of 1092
+--S 594 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11241,43 +11241,43 @@ a0:=integrate(t0,x)
 --R   (4)  --------------------------------------------------------------
 --R                                    5x + 5
 --R                                         Type: Union(Expression(Integer),...)
---E  594
+--E 594
 
---S  595 of 1092
+--S 595 of 1092
 m0a:=a0-r0a
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  595
+--E 595
 
---S  596 of 1092
+--S 596 of 1092
 d0:=D(m0a,x)
 --R 
 --R
 --R   (6)  0
 --R                                                    Type: Expression(Integer)
---E  596
+--E 596
 
---S  597 of 1092
+--S 597 of 1092
 m0b:=a0-r0b
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  597
+--E 597
 
---S  598 of 1092
+--S 598 of 1092
 d0:=D(m0b,x)
 --R 
 --R
 --R   (8)  0
 --R                                                    Type: Expression(Integer)
---E  598
+--E 598
 
 )clear all
 
---S  599 of 1092
+--S 599 of 1092
 t0:=x^6/((a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -11291,9 +11291,9 @@ t0:=x^6/((a+b*x)^2*(c+d*x)^2)
 --R          2            2      2 2
 --R       (2a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  599
+--E 599
 
---S  600 of 1092
+--S 600 of 1092
 r0:=(3*b^2*c^2+4*a*b*c*d+3*a^2*d^2)*x/(b^4*d^4)-(b*c+a*d)*x^2/(b^3*d^3)+_
      1/3*x^3/(b^2*d^2)-a^6/(b^5*(b*c-a*d)^2*(a+b*x))-_
      c^6/(d^5*(b*c-a*d)^2*(c+d*x))-2*a^5*(3*b*c-2*a*d)*log(a+b*x)/_
@@ -11344,9 +11344,9 @@ r0:=(3*b^2*c^2+4*a*b*c*d+3*a^2*d^2)*x/(b^4*d^4)-(b*c+a*d)*x^2/(b^3*d^3)+_
 --R         2 7 3 6       8 4 5
 --R       9a b c d  - 3a b c d
 --R                                                    Type: Expression(Integer)
---E  600
+--E 600
 
---S  601 of 1092
+--S 601 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11394,27 +11394,27 @@ a0:=integrate(t0,x)
 --R         2 7 3 6       8 4 5
 --R       9a b c d  - 3a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  601
+--E 601
 
---S  602 of 1092
+--S 602 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  602
+--E 602
 
---S  603 of 1092
+--S 603 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  603
+--E 603
 
 )clear all
 
---S  604 of 1092
+--S 604 of 1092
 t0:=x^5/((a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -11428,9 +11428,9 @@ t0:=x^5/((a+b*x)^2*(c+d*x)^2)
 --R          2            2      2 2
 --R       (2a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  604
+--E 604
 
---S  605 of 1092
+--S 605 of 1092
 r0:=-2*(b*c+a*d)*x/(b^3*d^3)+1/2*x^2/(b^2*d^2)+a^5/(b^4*(b*c-a*d)^2*_
      (a+b*x))+c^5/(d^4*(b*c-a*d)^2*(c+d*x))+a^4*(5*b*c-3*a*d)*_
      log(a+b*x)/(b^4*(b*c-a*d)^3)+c^4*(3*b*c-5*a*d)*log(c+d*x)/_
@@ -11478,9 +11478,9 @@ r0:=-2*(b*c+a*d)*x/(b^3*d^3)+1/2*x^2/(b^2*d^2)+a^5/(b^4*(b*c-a*d)^2*_
 --R         2 6 3 5       7 4 4
 --R       6a b c d  - 2a b c d
 --R                                                    Type: Expression(Integer)
---E  605
+--E 605
 
---S  606 of 1092
+--S 606 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11525,27 +11525,27 @@ a0:=integrate(t0,x)
 --R         2 6 3 5       7 4 4
 --R       6a b c d  - 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  606
+--E 606
 
---S  607 of 1092
+--S 607 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  607
+--E 607
 
---S  608 of 1092
+--S 608 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  608
+--E 608
 
 )clear all
 
---S  609 of 1092
+--S 609 of 1092
 t0:=x^4/((a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -11559,9 +11559,9 @@ t0:=x^4/((a+b*x)^2*(c+d*x)^2)
 --R          2            2      2 2
 --R       (2a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  609
+--E 609
 
---S  610 of 1092
+--S 610 of 1092
 r0:=x/(b^2*d^2)-a^4/(b^3*(b*c-a*d)^2*(a+b*x))-c^4/(d^3*(b*c-a*d)^2*(c+d*x))-_
      2*a^3*(2*b*c-a*d)*log(a+b*x)/(b^3*(b*c-a*d)^3)-_
      2*c^3*(b*c-2*a*d)*log(c+d*x)/(d^3*(b*c-a*d)^3)
@@ -11605,9 +11605,9 @@ r0:=x/(b^2*d^2)-a^4/(b^3*(b*c-a*d)^2*(a+b*x))-c^4/(d^3*(b*c-a*d)^2*(c+d*x))-_
 --R         2 5 3 4      6 4 3
 --R       3a b c d  - a b c d
 --R                                                    Type: Expression(Integer)
---E  610
+--E 610
 
---S  611 of 1092
+--S 611 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11649,27 +11649,27 @@ a0:=integrate(t0,x)
 --R         2 5 3 4      6 4 3
 --R       3a b c d  - a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  611
+--E 611
 
---S  612 of 1092
+--S 612 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  612
+--E 612
 
---S  613 of 1092
+--S 613 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  613
+--E 613
 
 )clear all
 
---S  614 of 1092
+--S 614 of 1092
 t0:=x^3/((a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -11683,9 +11683,9 @@ t0:=x^3/((a+b*x)^2*(c+d*x)^2)
 --R          2            2      2 2
 --R       (2a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  614
+--E 614
 
---S  615 of 1092
+--S 615 of 1092
 r0:=a^3/(b^2*(b*c-a*d)^2*(a+b*x))+c^3/(d^2*(b*c-a*d)^2*(c+d*x))+_
      a^2*(3*b*c-a*d)*log(a+b*x)/(b^2*(b*c-a*d)^3)+_
      c^2*(b*c-3*a*d)*log(c+d*x)/(d^2*(b*c-a*d)^3)
@@ -11720,9 +11720,9 @@ r0:=a^3/(b^2*(b*c-a*d)^2*(a+b*x))+c^3/(d^2*(b*c-a*d)^2*(c+d*x))+_
 --R         2 4 3 3      5 4 2
 --R       3a b c d  - a b c d
 --R                                                    Type: Expression(Integer)
---E  615
+--E 615
 
---S  616 of 1092
+--S 616 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11755,27 +11755,27 @@ a0:=integrate(t0,x)
 --R         2 4 3 3      5 4 2
 --R       3a b c d  - a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  616
+--E 616
 
---S  617 of 1092
+--S 617 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  617
+--E 617
 
---S  618 of 1092
+--S 618 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  618
+--E 618
 
 )clear all
 
---S  619 of 1092
+--S 619 of 1092
 t0:=x^2/((a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -11789,9 +11789,9 @@ t0:=x^2/((a+b*x)^2*(c+d*x)^2)
 --R          2            2      2 2
 --R       (2a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  619
+--E 619
 
---S  620 of 1092
+--S 620 of 1092
 r0:=-a^2/(b*(b*c-a*d)^2*(a+b*x))-c^2/(d*(b*c-a*d)^2*(c+d*x))-_
      2*a*c*log(a+b*x)/(b*c-a*d)^3+2*a*c*log(c+d*x)/(b*c-a*d)^3
 --R 
@@ -11815,9 +11815,9 @@ r0:=-a^2/(b*(b*c-a*d)^2*(a+b*x))-c^2/(d*(b*c-a*d)^2*(c+d*x))-_
 --R         2 3 3 2      4 4
 --R       3a b c d  - a b c d
 --R                                                    Type: Expression(Integer)
---E  620
+--E 620
 
---S  621 of 1092
+--S 621 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11840,27 +11840,27 @@ a0:=integrate(t0,x)
 --R         2 3 3 2      4 4
 --R       3a b c d  - a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  621
+--E 621
 
---S  622 of 1092
+--S 622 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  622
+--E 622
 
---S  623 of 1092
+--S 623 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  623
+--E 623
 
 )clear all
 
---S  624 of 1092
+--S 624 of 1092
 t0:=x/((a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -11873,9 +11873,9 @@ t0:=x/((a+b*x)^2*(c+d*x)^2)
 --R          2            2      2 2
 --R       (2a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  624
+--E 624
 
---S  625 of 1092
+--S 625 of 1092
 r0:=a/((b*c-a*d)^2*(a+b*x))+c/((b*c-a*d)^2*(c+d*x))+_
      (b*c+a*d)*log(a+b*x)/(b*c-a*d)^3-(b*c+a*d)*log(c+d*x)/(b*c-a*d)^3
 --R 
@@ -11903,9 +11903,9 @@ r0:=a/((b*c-a*d)^2*(a+b*x))+c/((b*c-a*d)^2*(c+d*x))+_
 --R            3 4
 --R       - a b c
 --R                                                    Type: Expression(Integer)
---E  625
+--E 625
 
---S  626 of 1092
+--S 626 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -11932,27 +11932,27 @@ a0:=integrate(t0,x)
 --R            3 4
 --R       - a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  626
+--E 626
 
---S  627 of 1092
+--S 627 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  627
+--E 627
 
---S  628 of 1092
+--S 628 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  628
+--E 628
 
 )clear all
 
---S  629 of 1092
+--S 629 of 1092
 t0:=1/((a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -11965,9 +11965,9 @@ t0:=1/((a+b*x)^2*(c+d*x)^2)
 --R          2            2      2 2
 --R       (2a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  629
+--E 629
 
---S  630 of 1092
+--S 630 of 1092
 r0:=-b/((b*c-a*d)^2*(a+b*x))-d/((b*c-a*d)^2*(c+d*x))-_
      2*b*d*log(a+b*x)/(b*c-a*d)^3+2*b*d*log(c+d*x)/(b*c-a*d)^3
 --R 
@@ -11991,9 +11991,9 @@ r0:=-b/((b*c-a*d)^2*(a+b*x))-d/((b*c-a*d)^2*(c+d*x))-_
 --R            3 4
 --R       - a b c
 --R                                                    Type: Expression(Integer)
---E  630
+--E 630
 
---S  631 of 1092
+--S 631 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -12016,27 +12016,27 @@ a0:=integrate(t0,x)
 --R            3 4
 --R       - a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  631
+--E 631
 
---S  632 of 1092
+--S 632 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  632
+--E 632
 
---S  633 of 1092
+--S 633 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  633
+--E 633
 
 )clear all
 
---S  634 of 1092
+--S 634 of 1092
 t0:=1/(x*(a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -12049,9 +12049,9 @@ t0:=1/(x*(a+b*x)^2*(c+d*x)^2)
 --R          2            2  2    2 2
 --R       (2a c d + 2a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  634
+--E 634
 
---S  635 of 1092
+--S 635 of 1092
 r0:=b^2/(a*(b*c-a*d)^2*(a+b*x))+d^2/(c*(b*c-a*d)^2*(c+d*x))+_
      log(x)/(a^2*c^2)-b^2*(b*c-3*a*d)*log(a+b*x)/(a^2*(b*c-a*d)^3)-_
      d^2*(3*b*c-a*d)*log(c+d*x)/(c^2*(b*c-a*d)^3)
@@ -12097,9 +12097,9 @@ r0:=b^2/(a*(b*c-a*d)^2*(a+b*x))+d^2/(c*(b*c-a*d)^2*(c+d*x))+_
 --R          3 3 6
 --R       - a b c
 --R                                                    Type: Expression(Integer)
---E  635
+--E 635
 
---S  636 of 1092
+--S 636 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -12143,27 +12143,27 @@ a0:=integrate(t0,x)
 --R          3 3 6
 --R       - a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  636
+--E 636
 
---S  637 of 1092
+--S 637 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  637
+--E 637
 
---S  638 of 1092
+--S 638 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  638
+--E 638
 
 )clear all
 
---S  639 of 1092
+--S 639 of 1092
 t0:=1/(x^2*(a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -12176,9 +12176,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^2)
 --R          2            2  3    2 2 2
 --R       (2a c d + 2a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  639
+--E 639
 
---S  640 of 1092
+--S 640 of 1092
 r0:=(-1)/(a^2*c^2*x)-b^3/(a^2*(b*c-a*d)^2*(a+b*x))-_
      d^3/(c^2*(b*c-a*d)^2*(c+d*x))-2*(b*c+a*d)*log(x)/(a^3*c^3)+_
      2*b^3*(b*c-2*a*d)*log(a+b*x)/(a^3*(b*c-a*d)^3)+_
@@ -12231,9 +12231,9 @@ r0:=(-1)/(a^2*c^2*x)-b^3/(a^2*(b*c-a*d)^2*(a+b*x))-_
 --R         7 4 3     6   5 2     5 2 6     4 3 7
 --R       (a c d  - 3a b c d  + 3a b c d - a b c )x
 --R                                                    Type: Expression(Integer)
---E  640
+--E 640
 
---S  641 of 1092
+--S 641 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -12283,27 +12283,27 @@ a0:=integrate(t0,x)
 --R         7 4 3     6   5 2     5 2 6     4 3 7
 --R       (a c d  - 3a b c d  + 3a b c d - a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  641
+--E 641
 
---S  642 of 1092
+--S 642 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  642
+--E 642
 
---S  643 of 1092
+--S 643 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  643
+--E 643
 
 )clear all
 
---S  644 of 1092
+--S 644 of 1092
 t0:=1/(x^3*(a+b*x)^2*(c+d*x)^2)
 --R 
 --R
@@ -12316,9 +12316,9 @@ t0:=1/(x^3*(a+b*x)^2*(c+d*x)^2)
 --R          2            2  4    2 2 3
 --R       (2a c d + 2a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  644
+--E 644
 
---S  645 of 1092
+--S 645 of 1092
 r0:=(-1/2)/(a^2*c^2*x^2)+2*(b*c+a*d)/(a^3*c^3*x)+_
      b^4/(a^3*(b*c-a*d)^2*(a+b*x))+d^4/(c^3*(b*c-a*d)^2*(c+d*x))+_
      (3*b^2*c^2+4*a*b*c*d+3*a^2*d^2)*log(x)/(a^4*c^4)-b^4*(3*b*c-5*a*d)*_
@@ -12375,9 +12375,9 @@ r0:=(-1/2)/(a^2*c^2*x^2)+2*(b*c+a*d)/(a^3*c^3*x)+_
 --R          8 5 3     7   6 2     6 2 7      5 3 8  2
 --R       (2a c d  - 6a b c d  + 6a b c d - 2a b c )x
 --R                                                    Type: Expression(Integer)
---E  645
+--E 645
 
---S  646 of 1092
+--S 646 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -12430,27 +12430,27 @@ a0:=integrate(t0,x)
 --R          8 5 3     7   6 2     6 2 7      5 3 8  2
 --R       (2a c d  - 6a b c d  + 6a b c d - 2a b c )x
 --R                                         Type: Union(Expression(Integer),...)
---E  646
+--E 646
 
---S  647 of 1092
+--S 647 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  647
+--E 647
 
---S  648 of 1092
+--S 648 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  648
+--E 648
 
 )clear all
 
---S  649 of 1092
+--S 649 of 1092
 t0:=x^7/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -12464,9 +12464,9 @@ t0:=x^7/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  649
+--E 649
 
---S  650 of 1092
+--S 650 of 1092
 r0:=3*(2*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^4*d^5)-1/2*(3*b*c+2*a*d)*x^2/_
      (b^3*d^4)+1/3*x^3/(b^2*d^3)+a^7/(b^5*(b*c-a*d)^3*(a+b*x))+1/2*c^7/_
      (d^6*(b*c-a*d)^2*(c+d*x)^2)-c^6*(5*b*c-7*a*d)/(d^6*(b*c-a*d)^3*_
@@ -12570,9 +12570,9 @@ r0:=3*(2*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^4*d^5)-1/2*(3*b*c+2*a*d)*x^2/_
 --R         5 5 2 10      4 6 3 9      3 7 4 8      2 8 5 7       9 6 6
 --R       6a b c d   - 24a b c d  + 36a b c d  - 24a b c d  + 6a b c d
 --R                                                    Type: Expression(Integer)
---E  650
+--E 650
 
---S  651 of 1092
+--S 651 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -12672,27 +12672,27 @@ a0:=integrate(t0,x)
 --R         5 5 2 10      4 6 3 9      3 7 4 8      2 8 5 7       9 6 6
 --R       6a b c d   - 24a b c d  + 36a b c d  - 24a b c d  + 6a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  651
+--E 651
 
---S  652 of 1092
+--S 652 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  652
+--E 652
 
---S  653 of 1092
+--S 653 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  653
+--E 653
 
 )clear all
 
---S  654 of 1092
+--S 654 of 1092
 t0:=x^6/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -12706,9 +12706,9 @@ t0:=x^6/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  654
+--E 654
 
---S  655 of 1092
+--S 655 of 1092
 r0:=-(3*b*c+2*a*d)*x/(b^3*d^4)+1/2*x^2/(b^2*d^3)-a^6/(b^4*(b*c-a*d)^3*_
      (a+b*x))-1/2*c^6/(d^5*(b*c-a*d)^2*(c+d*x)^2)+2*c^5*(2*b*c-3*a*d)/_
      (d^5*(b*c-a*d)^3*(c+d*x))-3*a^5*(2*b*c-a*d)*log(a+b*x)/_
@@ -12786,9 +12786,9 @@ r0:=-(3*b*c+2*a*d)*x/(b^3*d^4)+1/2*x^2/(b^2*d^3)-a^6/(b^4*(b*c-a*d)^3*_
 --R         5 4 2 9     4 5 3 8      3 6 4 7     2 7 5 6       8 6 5
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                                    Type: Expression(Integer)
---E  655
+--E 655
 
---S  656 of 1092
+--S 656 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -12862,27 +12862,27 @@ a0:=integrate(t0,x)
 --R         5 4 2 9     4 5 3 8      3 6 4 7     2 7 5 6       8 6 5
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  656
+--E 656
 
---S  657 of 1092
+--S 657 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  657
+--E 657
 
---S  658 of 1092
+--S 658 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  658
+--E 658
 
 )clear all
 
---S  659 of 1092
+--S 659 of 1092
 t0:=x^5/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -12896,9 +12896,9 @@ t0:=x^5/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  659
+--E 659
 
---S  660 of 1092
+--S 660 of 1092
 r0:=x/(b^2*d^3)+a^5/(b^3*(b*c-a*d)^3*(a+b*x))+1/2*c^5/(d^4*(b*c-a*d)^2*_
      (c+d*x)^2)-c^4*(3*b*c-5*a*d)/(d^4*(b*c-a*d)^3*(c+d*x))+_
      a^4*(5*b*c-2*a*d)*log(a+b*x)/(b^3*(b*c-a*d)^4)-c^3*_
@@ -12966,9 +12966,9 @@ r0:=x/(b^2*d^3)+a^5/(b^3*(b*c-a*d)^3*(a+b*x))+1/2*c^5/(d^4*(b*c-a*d)^2*_
 --R         5 3 2 8     4 4 3 7      3 5 4 6     2 6 5 5       7 6 4
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                                    Type: Expression(Integer)
---E  660
+--E 660
 
---S  661 of 1092
+--S 661 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -13033,27 +13033,27 @@ a0:=integrate(t0,x)
 --R         5 3 2 8     4 4 3 7      3 5 4 6     2 6 5 5       7 6 4
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  661
+--E 661
 
---S  662 of 1092
+--S 662 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  662
+--E 662
 
---S  663 of 1092
+--S 663 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  663
+--E 663
 
 )clear all
 
---S  664 of 1092
+--S 664 of 1092
 t0:=x^4/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -13067,9 +13067,9 @@ t0:=x^4/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  664
+--E 664
 
---S  665 of 1092
+--S 665 of 1092
 r0:=-a^4/(b^2*(b*c-a*d)^3*(a+b*x))-1/2*c^4/(d^3*(b*c-a*d)^2*(c+d*x)^2)+_
      2*c^3*(b*c-2*a*d)/(d^3*(b*c-a*d)^3*(c+d*x))-a^3*(4*b*c-a*d)*_
      log(a+b*x)/(b^2*(b*c-a*d)^4)+c^2*(b^2*c^2-4*a*b*c*d+6*a^2*d^2)*_
@@ -13120,9 +13120,9 @@ r0:=-a^4/(b^2*(b*c-a*d)^3*(a+b*x))-1/2*c^4/(d^3*(b*c-a*d)^2*(c+d*x)^2)+_
 --R         5 2 2 7     4 3 3 6      3 4 4 5     2 5 5 4       6 6 3
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                                    Type: Expression(Integer)
---E  665
+--E 665
 
---S  666 of 1092
+--S 666 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -13170,27 +13170,27 @@ a0:=integrate(t0,x)
 --R         5 2 2 7     4 3 3 6      3 4 4 5     2 5 5 4       6 6 3
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  666
+--E 666
 
---S  667 of 1092
+--S 667 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  667
+--E 667
 
---S  668 of 1092
+--S 668 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  668
+--E 668
 
 )clear all
 
---S  669 of 1092
+--S 669 of 1092
 t0:=x^3/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -13204,9 +13204,9 @@ t0:=x^3/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  669
+--E 669
 
---S  670 of 1092
+--S 670 of 1092
 r0:=a^3/(b*(b*c-a*d)^3*(a+b*x))+1/2*c^3/(d^2*(b*c-a*d)^2*(c+d*x)^2)-_
      c^2*(b*c-3*a*d)/(d^2*(b*c-a*d)^3*(c+d*x))+3*a^2*c*log(a+b*x)/_
      (b*c-a*d)^4-3*a^2*c*log(c+d*x)/(b*c-a*d)^4
@@ -13250,9 +13250,9 @@ r0:=a^3/(b*(b*c-a*d)^3*(a+b*x))+1/2*c^3/(d^2*(b*c-a*d)^2*(c+d*x)^2)-_
 --R         5   2 6     4 2 3 5      3 3 4 4     2 4 5 3       5 6 2
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                                    Type: Expression(Integer)
---E  670
+--E 670
 
---S  671 of 1092
+--S 671 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -13294,27 +13294,27 @@ a0:=integrate(t0,x)
 --R         5   2 6     4 2 3 5      3 3 4 4     2 4 5 3       5 6 2
 --R       2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  671
+--E 671
 
---S  672 of 1092
+--S 672 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  672
+--E 672
 
---S  673 of 1092
+--S 673 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  673
+--E 673
 
 )clear all
 
---S  674 of 1092
+--S 674 of 1092
 t0:=x^2/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -13328,9 +13328,9 @@ t0:=x^2/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  674
+--E 674
 
---S  675 of 1092
+--S 675 of 1092
 r0:=-a^2/((b*c-a*d)^3*(a+b*x))-1/2*c^2/(d*(b*c-a*d)^2*(c+d*x)^2)-_
      2*a*c/((b*c-a*d)^3*(c+d*x))-a*(2*b*c+a*d)*log(a+b*x)/(b*c-a*d)^4+_
      a*(2*b*c+a*d)*log(c+d*x)/(b*c-a*d)^4
@@ -13371,9 +13371,9 @@ r0:=-a^2/((b*c-a*d)^3*(a+b*x))-1/2*c^2/(d*(b*c-a*d)^2*(c+d*x)^2)-_
 --R         5 2 5     4   3 4      3 2 4 3     2 3 5 2       4 6
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                                    Type: Expression(Integer)
---E  675
+--E 675
 
---S  676 of 1092
+--S 676 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -13412,27 +13412,27 @@ a0:=integrate(t0,x)
 --R         5 2 5     4   3 4      3 2 4 3     2 3 5 2       4 6
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  676
+--E 676
 
---S  677 of 1092
+--S 677 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  677
+--E 677
 
---S  678 of 1092
+--S 678 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  678
+--E 678
 
 )clear all
 
---S  679 of 1092
+--S 679 of 1092
 t0:=x/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -13445,9 +13445,9 @@ t0:=x/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  679
+--E 679
 
---S  680 of 1092
+--S 680 of 1092
 r0:=a*b/((b*c-a*d)^3*(a+b*x))+1/2*c/((b*c-a*d)^2*(c+d*x)^2)+(b*c+a*d)/_
      ((b*c-a*d)^3*(c+d*x))+b*(b*c+2*a*d)*log(a+b*x)/(b*c-a*d)^4-_
      b*(b*c+2*a*d)*log(c+d*x)/(b*c-a*d)^4
@@ -13488,9 +13488,9 @@ r0:=a*b/((b*c-a*d)^3*(a+b*x))+1/2*c/((b*c-a*d)^2*(c+d*x)^2)+(b*c+a*d)/_
 --R         5 2 4     4   3 3      3 2 4 2     2 3 5        4 6
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c
 --R                                                    Type: Expression(Integer)
---E  680
+--E 680
 
---S  681 of 1092
+--S 681 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -13529,27 +13529,27 @@ a0:=integrate(t0,x)
 --R         5 2 4     4   3 3      3 2 4 2     2 3 5        4 6
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  681
+--E 681
 
---S  682 of 1092
+--S 682 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  682
+--E 682
 
---S  683 of 1092
+--S 683 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  683
+--E 683
 
 )clear all
 
---S  684 of 1092
+--S 684 of 1092
 t0:=1/((a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -13562,9 +13562,9 @@ t0:=1/((a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  2      2 2          3      2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  684
+--E 684
 
---S  685 of 1092
+--S 685 of 1092
 r0:=-b^2/((b*c-a*d)^3*(a+b*x))-1/2*d/((b*c-a*d)^2*(c+d*x)^2)-_
      2*b*d/((b*c-a*d)^3*(c+d*x))-3*b^2*d*log(a+b*x)/(b*c-a*d)^4+_
      3*b^2*d*log(c+d*x)/(b*c-a*d)^4
@@ -13602,9 +13602,9 @@ r0:=-b^2/((b*c-a*d)^3*(a+b*x))-1/2*d/((b*c-a*d)^2*(c+d*x)^2)-_
 --R         5 2 4     4   3 3      3 2 4 2     2 3 5        4 6
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c
 --R                                                    Type: Expression(Integer)
---E  685
+--E 685
 
---S  686 of 1092
+--S 686 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -13640,27 +13640,27 @@ a0:=integrate(t0,x)
 --R         5 2 4     4   3 3      3 2 4 2     2 3 5        4 6
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  686
+--E 686
 
---S  687 of 1092
+--S 687 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  687
+--E 687
 
---S  688 of 1092
+--S 688 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  688
+--E 688
 
 )clear all
 
---S  689 of 1092
+--S 689 of 1092
 t0:=1/(x*(a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -13673,9 +13673,9 @@ t0:=1/(x*(a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  3      2 2          3  2    2 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  689
+--E 689
 
---S  690 of 1092
+--S 690 of 1092
 r0:=b^3/(a*(b*c-a*d)^3*(a+b*x))+1/2*d^2/(c*(b*c-a*d)^2*(c+d*x)^2)+_
      d^2*(3*b*c-a*d)/(c^2*(b*c-a*d)^3*(c+d*x))+log(x)/(a^2*c^3)-_
      b^3*(b*c-4*a*d)*log(a+b*x)/(a^2*(b*c-a*d)^4)-d^2*(6*b^2*c^2-_
@@ -13740,9 +13740,9 @@ r0:=b^3/(a*(b*c-a*d)^3*(a+b*x))+1/2*d^2/(c*(b*c-a*d)^2*(c+d*x)^2)+_
 --R         7 5 4     6   6 3      5 2 7 2     4 3 8      3 4 9
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c
 --R                                                    Type: Expression(Integer)
---E  690
+--E 690
 
---S  691 of 1092
+--S 691 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -13804,27 +13804,27 @@ a0:=integrate(t0,x)
 --R         7 5 4     6   6 3      5 2 7 2     4 3 8      3 4 9
 --R       2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  691
+--E 691
 
---S  692 of 1092
+--S 692 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  692
+--E 692
 
---S  693 of 1092
+--S 693 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  693
+--E 693
 
 )clear all
 
---S  694 of 1092
+--S 694 of 1092
 t0:=1/(x^2*(a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -13837,9 +13837,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  4      2 2          3  3    2 3 2
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  694
+--E 694
 
---S  695 of 1092
+--S 695 of 1092
 r0:=(-1)/(a^2*c^3*x)-b^4/(a^2*(b*c-a*d)^3*(a+b*x))-_
      1/2*d^3/(c^2*(b*c-a*d)^2*(c+d*x)^2)-2*d^3*(2*b*c-a*d)/_
      (c^3*(b*c-a*d)^3*(c+d*x))-(2*b*c+3*a*d)*log(x)/(a^3*c^4)+_
@@ -13926,112 +13926,23 @@ r0:=(-1)/(a^2*c^3*x)-b^4/(a^2*(b*c-a*d)^3*(a+b*x))-_
 --R          8 6 4     7   7 3      6 2 8 2     5 3 9      4 4 10
 --R       (2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c  )x
 --R                                                    Type: Expression(Integer)
---E  695
+--E 695
 
---S  696 of 1092
-a0:=integrate(t0,x)
---R 
---R
---R   (3)
---R              5   7      4 2   6      3 3 2 5  4
---R           (6a b d  - 20a b c d  + 20a b c d )x
---R         + 
---R              6 7     5     6      4 2 2 5      3 3 3 4  3
---R           (6a d  - 8a b c d  - 20a b c d  + 40a b c d )x
---R         + 
---R               6   6      5   2 5      4 2 3 4      3 3 4 3  2
---R           (12a c d  - 34a b c d  + 20a b c d  + 20a b c d )x
---R         + 
---R              6 2 5      5   3 4      4 2 4 3
---R           (6a c d  - 20a b c d  + 20a b c d )x
---R      *
---R         log(d x + c)
---R     + 
---R                   5 4 3     6 5 2  4         2 4 4 3        5 5 2     6 6   3
---R           (- 10a b c d  + 4b c d )x  + (- 10a b c d  - 16a b c d  + 8b c d)x
---R         + 
---R                 2 4 5 2       5 6      6 7  2         2 4 6        5 7
---R           (- 20a b c d  - 2a b c d + 4b c )x  + (- 10a b c d + 4a b c )x
---R      *
---R         log(b x + a)
---R     + 
---R                5   7      4 2   6      3 3 2 5        5 4 3     6 5 2  4
---R           (- 6a b d  + 20a b c d  - 20a b c d  + 10a b c d  - 4b c d )x
---R         + 
---R                   6 7     5     6      4 2 2 5      3 3 3 4      2 4 4 3
---R               - 6a d  + 8a b c d  + 20a b c d  - 40a b c d  + 10a b c d
---R             + 
---R                    5 5 2     6 6
---R               16a b c d  - 8b c d
---R          *
---R              3
---R             x
---R         + 
---R                    6   6      5   2 5      4 2 3 4      3 3 4 3      2 4 5 2
---R               - 12a c d  + 34a b c d  - 20a b c d  - 20a b c d  + 20a b c d
---R             + 
---R                   5 6      6 7
---R               2a b c d - 4b c
---R          *
---R              2
---R             x
---R         + 
---R                6 2 5      5   3 4      4 2 4 3      2 4 6        5 7
---R           (- 6a c d  + 20a b c d  - 20a b c d  + 10a b c d - 4a b c )x
---R      *
---R         log(x)
---R     + 
---R            5     6      4 2 2 5      3 3 3 4      2 4 4 3       5 5 2  3
---R       (- 6a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 4a b c d )x
---R     + 
---R               6   6      5   2 5      4 2 3 4      3 3 4 3      2 4 5 2
---R           - 6a c d  + 11a b c d  + 10a b c d  - 25a b c d  + 18a b c d
---R         + 
---R                 5 6
---R           - 8a b c d
---R      *
---R          2
---R         x
---R     + 
---R            6 2 5      5   3 4      4 2 4 3     3 3 5 2     2 4 6        5 7
---R       (- 9a c d  + 28a b c d  - 25a b c d  + 4a b c d  + 6a b c d - 4a b c )x
---R     + 
---R           6 3 4     5   4 3      4 2 5 2     3 3 6      2 4 7
---R       - 2a c d  + 8a b c d  - 12a b c d  + 8a b c d - 2a b c
---R  /
---R          7   4 6     6 2 5 5      5 3 6 4     4 4 7 3     3 5 8 2  4
---R       (2a b c d  - 8a b c d  + 12a b c d  - 8a b c d  + 2a b c d )x
---R     + 
---R          8 4 6     7   5 5     6 2 6 4      5 3 7 3      4 4 8 2     3 5 9   3
---R       (2a c d  - 4a b c d  - 4a b c d  + 16a b c d  - 14a b c d  + 4a b c d)x
---R     + 
---R          8 5 5      7   6 4      6 2 7 3     5 3 8 2     4 4 9      3 5 10  2
---R       (4a c d  - 14a b c d  + 16a b c d  - 4a b c d  - 4a b c d + 2a b c  )x
---R     + 
---R          8 6 4     7   7 3      6 2 8 2     5 3 9      4 4 10
---R       (2a c d  - 8a b c d  + 12a b c d  - 8a b c d + 2a b c  )x
---R                                         Type: Union(Expression(Integer),...)
---E  696
+--S 696 of 1092
+--a0:=integrate(t0,x)
+--E 696
 
---S  697 of 1092
-m0:=a0-r0
---R 
---R
---R   (4)  0
---R                                                    Type: Expression(Integer)
---E  697
+--S 697 of 1092
+--m0:=a0-r0
+--E 697
 
---S  698 of 1092
-d0:=D(m0,x)
---R 
---R
---R   (5)  0
---R                                                    Type: Expression(Integer)
---E  698
+--S 698 of 1092
+--d0:=D(m0,x)
+--E 698
 
 )clear all
 
---S  699 of 1092
+--S 699 of 1092
 t0:=1/(x^3*(a+b*x)^2*(c+d*x)^3)
 --R 
 --R
@@ -14044,9 +13955,9 @@ t0:=1/(x^3*(a+b*x)^2*(c+d*x)^3)
 --R          2   2         2     2 3  5      2 2          3  4    2 3 3
 --R       (3a c d  + 6a b c d + b c )x  + (3a c d + 2a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  699
+--E 699
 
---S  700 of 1092
+--S 700 of 1092
 r0:=(-1/2)/(a^2*c^3*x^2)+(2*b*c+3*a*d)/(a^3*c^4*x)+b^5/(a^3*(b*c-a*d)^3*_
      (a+b*x))+1/2*d^4/(c^3*(b*c-a*d)^2*(c+d*x)^2)+d^4*(5*b*c-3*a*d)/_
      (c^4*(b*c-a*d)^3*(c+d*x))+3*(b^2*c^2+2*a*b*c*d+2*a^2*d^2)*log(x)/_
@@ -14142,9 +14053,9 @@ r0:=(-1/2)/(a^2*c^3*x^2)+(2*b*c+3*a*d)/(a^3*c^4*x)+b^5/(a^3*(b*c-a*d)^3*_
 --R          9 7 4     8   8 3      7 2 9 2     6 3 10      5 4 11  2
 --R       (2a c d  - 8a b c d  + 12a b c d  - 8a b c  d + 2a b c  )x
 --R                                                    Type: Expression(Integer)
---E  700
+--E 700
 
---S  701 of 1092
+--S 701 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14236,27 +14147,27 @@ a0:=integrate(t0,x)
 --R          9 7 4     8   8 3      7 2 9 2     6 3 10      5 4 11  2
 --R       (2a c d  - 8a b c d  + 12a b c d  - 8a b c  d + 2a b c  )x
 --R                                         Type: Union(Expression(Integer),...)
---E  701
+--E 701
 
---S  702 of 1092
+--S 702 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  702
+--E 702
 
---S  703 of 1092
+--S 703 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  703
+--E 703
 
 )clear all
 
---S  704 of 1092
+--S 704 of 1092
 t0:=x^2/((-1+x)^2*(1+x)^2)
 --R 
 --R
@@ -14266,9 +14177,9 @@ t0:=x^2/((-1+x)^2*(1+x)^2)
 --R         4     2
 --R        x  - 2x  + 1
 --R                                          Type: Fraction(Polynomial(Integer))
---E  704
+--E 704
 
---S  705 of 1092
+--S 705 of 1092
 r0:=1/2*x/(1-x^2)-1/2*atanh(x)
 --R 
 --R
@@ -14278,9 +14189,9 @@ r0:=1/2*x/(1-x^2)-1/2*atanh(x)
 --R                  2
 --R                2x  - 2
 --R                                                    Type: Expression(Integer)
---E  705
+--E 705
 
---S  706 of 1092
+--S 706 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14290,9 +14201,9 @@ a0:=integrate(t0,x)
 --R                              2
 --R                            4x  - 4
 --R                                         Type: Union(Expression(Integer),...)
---E  706
+--E 706
 
---S  707 of 1092
+--S 707 of 1092
 m0:=a0-r0
 --R 
 --R
@@ -14300,19 +14211,19 @@ m0:=a0-r0
 --R   (4)  -------------------------------------
 --R                          4
 --R                                                    Type: Expression(Integer)
---E  707
+--E 707
 
---S  708 of 1092
+--S 708 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  708
+--E 708
 
 )clear all
 
---S  709 of 1092
+--S 709 of 1092
 t0:=b^2*x^m/(b+a*x^2)^2
 --R 
 --R
@@ -14322,28 +14233,28 @@ t0:=b^2*x^m/(b+a*x^2)^2
 --R         2 4         2    2
 --R        a x  + 2a b x  + b
 --R                                                    Type: Expression(Integer)
---E  709
+--E 709
 
---S  710 of 1092
+--S 710 of 1092
 --r0:=1/2*b*x^(1+m)/(b+a*x^2)+1/2*(1-m)*x^(1+m)*_
 --     hypergeometric(1,1/2*(1+m),1/2*(3+m),-a*x^2/b)/(1+m)
---E  710
+--E 710
 
---S  711 of 1092
+--S 711 of 1092
 --a0:=integrate(t0,x)
---E  711
+--E 711
 
---S  712 of 1092
+--S 712 of 1092
 --m0:=a0-r0
---E  712
+--E 712
 
---S  713 of 1092
+--S 713 of 1092
 --d0:=D(m0,x)
---E  713
+--E 713
 
 )clear all
 
---S  714 of 1092
+--S 714 of 1092
 t0:=x^m/((1-x*sqrt(a)/sqrt(-b))^2*(1+x*sqrt(a)/sqrt(-b))^2)
 --R 
 --R
@@ -14353,28 +14264,28 @@ t0:=x^m/((1-x*sqrt(a)/sqrt(-b))^2*(1+x*sqrt(a)/sqrt(-b))^2)
 --R         2 4         2    2
 --R        a x  + 2a b x  + b
 --R                                                    Type: Expression(Integer)
---E  714
+--E 714
 
---S  715 of 1092
+--S 715 of 1092
 --r0:=1/2*b*x^(1+m)/(b+a*x^2)+1/2*(1-m)*x^(1+m)*_
 --     hypergeometric(1,1/2*(1+m),1/2*(3+m),-a*x^2/b)/(1+m)
---E  715
+--E 715
 
---S  716 of 1092
+--S 716 of 1092
 --a0:=integrate(t0,x)
---E  716
+--E 716
 
---S  717 of 1092
+--S 717 of 1092
 --m0:=a0-r0
---E  717
+--E 717
 
---S  718 of 1092
+--S 718 of 1092
 --d0:=D(m0,x)
---E  718
+--E 718
 
 )clear all
 
---S  719 of 1092
+--S 719 of 1092
 t0:=x^3*(c+d*x)^3/(a+b*x)^3
 --R 
 --R
@@ -14384,9 +14295,9 @@ t0:=x^3*(c+d*x)^3/(a+b*x)^3
 --R           3 3       2 2     2       3
 --R          b x  + 3a b x  + 3a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  719
+--E 719
 
---S  720 of 1092
+--S 720 of 1092
 r0:=(b*c-a*d)*(b^2*c^2-8*a*b*c*d+10*a^2*d^2)*x/b^6+_
      3/2*d*(b*c-2*a*d)*(b*c-a*d)*x^2/b^5+d^2*(b*c-a*d)*x^3/b^4+_
      1/4*d^3*x^4/b^3+1/2*a^3*(b*c-a*d)^3/(b^7*(a+b*x)^2)-_
@@ -14424,9 +14335,9 @@ r0:=(b*c-a*d)*(b^2*c^2-8*a*b*c*d+10*a^2*d^2)*x/b^6+_
 --R       9 2       8      2 7
 --R     4b x  + 8a b x + 4a b
 --R                                                    Type: Expression(Integer)
---E  720
+--E 720
 
---S  721 of 1092
+--S 721 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14460,27 +14371,27 @@ a0:=integrate(t0,x)
 --R       9 2       8      2 7
 --R     4b x  + 8a b x + 4a b
 --R                                         Type: Union(Expression(Integer),...)
---E  721
+--E 721
 
---S  722 of 1092
+--S 722 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  722
+--E 722
 
---S  723 of 1092
+--S 723 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  723
+--E 723
 
 )clear all
 
---S  724 of 1092
+--S 724 of 1092
 t0:=x^2*(c+d*x)^3/(a+b*x)^3
 --R 
 --R
@@ -14490,9 +14401,9 @@ t0:=x^2*(c+d*x)^3/(a+b*x)^3
 --R           3 3       2 2     2       3
 --R          b x  + 3a b x  + 3a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  724
+--E 724
 
---S  725 of 1092
+--S 725 of 1092
 r0:=3*d*(b*c-2*a*d)*(b*c-a*d)*x/b^5+3/2*d^2*(b*c-a*d)*x^2/b^4+_
      1/3*d^3*x^3/b^3-1/2*a^2*(b*c-a*d)^3/(b^6*(a+b*x)^2)+_
      a*(2*b*c-5*a*d)*(b*c-a*d)^2/(b^6*(a+b*x))+(b*c-a*d)*_
@@ -14526,9 +14437,9 @@ r0:=3*d*(b*c-2*a*d)*(b*c-a*d)*x/b^5+3/2*d^2*(b*c-a*d)*x^2/b^4+_
 --R       8 2        7      2 6
 --R     6b x  + 12a b x + 6a b
 --R                                                    Type: Expression(Integer)
---E  725
+--E 725
 
---S  726 of 1092
+--S 726 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14559,27 +14470,27 @@ a0:=integrate(t0,x)
 --R       8 2        7      2 6
 --R     6b x  + 12a b x + 6a b
 --R                                         Type: Union(Expression(Integer),...)
---E  726
+--E 726
 
---S  727 of 1092
+--S 727 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  727
+--E 727
 
---S  728 of 1092
+--S 728 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  728
+--E 728
 
 )clear all
 
---S  729 of 1092
+--S 729 of 1092
 t0:=x*(c+d*x)^3/(a+b*x)^3
 --R 
 --R
@@ -14589,9 +14500,9 @@ t0:=x*(c+d*x)^3/(a+b*x)^3
 --R          3 3       2 2     2       3
 --R         b x  + 3a b x  + 3a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  729
+--E 729
 
---S  730 of 1092
+--S 730 of 1092
 r0:=3*d^2*(b*c-a*d)*x/b^4+1/2*d^3*x^2/b^3+1/2*a*(b*c-a*d)^3/_
      (b^5*(a+b*x)^2)-(b*c-4*a*d)*(b*c-a*d)^2/(b^5*(a+b*x))+_
      3*d*(b*c-2*a*d)*(b*c-a*d)*log(a+b*x)/b^5
@@ -14618,9 +14529,9 @@ r0:=3*d^2*(b*c-a*d)*x/b^4+1/2*d^3*x^2/b^3+1/2*a*(b*c-a*d)^3/_
 --R       7 2       6      2 5
 --R     2b x  + 4a b x + 2a b
 --R                                                    Type: Expression(Integer)
---E  730
+--E 730
 
---S  731 of 1092
+--S 731 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14645,27 +14556,27 @@ a0:=integrate(t0,x)
 --R       7 2       6      2 5
 --R     2b x  + 4a b x + 2a b
 --R                                         Type: Union(Expression(Integer),...)
---E  731
+--E 731
 
---S  732 of 1092
+--S 732 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  732
+--E 732
 
---S  733 of 1092
+--S 733 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  733
+--E 733
 
 )clear all
 
---S  734 of 1092
+--S 734 of 1092
 t0:=(c+d*x)^3/(a+b*x)^3
 --R 
 --R
@@ -14675,9 +14586,9 @@ t0:=(c+d*x)^3/(a+b*x)^3
 --R         3 3       2 2     2       3
 --R        b x  + 3a b x  + 3a b x + a
 --R                                          Type: Fraction(Polynomial(Integer))
---E  734
+--E 734
 
---S  735 of 1092
+--S 735 of 1092
 r0:=d^3*x/b^3-1/2*(b*c-a*d)^3/(b^4*(a+b*x)^2)-3*d*(b*c-a*d)^2/_
      (b^4*(a+b*x))+3*d^2*(b*c-a*d)*log(a+b*x)/b^4
 --R 
@@ -14700,9 +14611,9 @@ r0:=d^3*x/b^3-1/2*(b*c-a*d)^3/(b^4*(a+b*x)^2)-3*d*(b*c-a*d)^2/_
 --R       6 2       5      2 4
 --R     2b x  + 4a b x + 2a b
 --R                                                    Type: Expression(Integer)
---E  735
+--E 735
 
---S  736 of 1092
+--S 736 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14724,27 +14635,27 @@ a0:=integrate(t0,x)
 --R       6 2       5      2 4
 --R     2b x  + 4a b x + 2a b
 --R                                         Type: Union(Expression(Integer),...)
---E  736
+--E 736
 
---S  737 of 1092
+--S 737 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  737
+--E 737
 
---S  738 of 1092
+--S 738 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  738
+--E 738
 
 )clear all
 
---S  739 of 1092
+--S 739 of 1092
 t0:=(c+d*x)^3/(x*(a+b*x)^3)
 --R 
 --R
@@ -14754,9 +14665,9 @@ t0:=(c+d*x)^3/(x*(a+b*x)^3)
 --R         3 4       2 3     2   2    3
 --R        b x  + 3a b x  + 3a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  739
+--E 739
 
---S  740 of 1092
+--S 740 of 1092
 r0:=1/2*(b*c-a*d)^3/(a*b^3*(a+b*x)^2)+(b*c-a*d)^2*(b*c+2*a*d)/_
      (a^2*b^3*(a+b*x))+c^3*log(x)/a^3-(c^3/a^3-d^3/b^3)*log(a+b*x)
 --R 
@@ -14776,9 +14687,9 @@ r0:=1/2*(b*c-a*d)^3/(a*b^3*(a+b*x)^2)+(b*c-a*d)^2*(b*c+2*a*d)/_
 --R       3 5 2     4 4      5 3
 --R     2a b x  + 4a b x + 2a b
 --R                                                    Type: Expression(Integer)
---E  740
+--E 740
 
---S  741 of 1092
+--S 741 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14797,27 +14708,27 @@ a0:=integrate(t0,x)
 --R       3 5 2     4 4      5 3
 --R     2a b x  + 4a b x + 2a b
 --R                                         Type: Union(Expression(Integer),...)
---E  741
+--E 741
 
---S  742 of 1092
+--S 742 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  742
+--E 742
 
---S  743 of 1092
+--S 743 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  743
+--E 743
 
 )clear all
 
---S  744 of 1092
+--S 744 of 1092
 t0:=(c+d*x)^3/(x^2*(a+b*x)^3)
 --R 
 --R
@@ -14827,9 +14738,9 @@ t0:=(c+d*x)^3/(x^2*(a+b*x)^3)
 --R         3 5       2 4     2   3    3 2
 --R        b x  + 3a b x  + 3a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  744
+--E 744
 
---S  745 of 1092
+--S 745 of 1092
 r0:=-c^3/(a^3*x)-1/2*(b*c-a*d)^3/(a^2*b^2*(a+b*x)^2)-(b*c-a*d)^2*_
      (2*b*c+a*d)/(a^3*b^2*(a+b*x))-3*c^2*(b*c-a*d)*log(x)/a^4+_
      3*c^2*(b*c-a*d)*log(a+b*x)/a^4
@@ -14861,9 +14772,9 @@ r0:=-c^3/(a^3*x)-1/2*(b*c-a*d)^3/(a^2*b^2*(a+b*x)^2)-(b*c-a*d)^2*_
 --R       4 4 3     5 3 2     6 2
 --R     2a b x  + 4a b x  + 2a b x
 --R                                                    Type: Expression(Integer)
---E  745
+--E 745
 
---S  746 of 1092
+--S 746 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -14893,27 +14804,27 @@ a0:=integrate(t0,x)
 --R       4 4 3     5 3 2     6 2
 --R     2a b x  + 4a b x  + 2a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  746
+--E 746
 
---S  747 of 1092
+--S 747 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  747
+--E 747
 
---S  748 of 1092
+--S 748 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  748
+--E 748
 
 )clear all
 
---S  749 of 1092
+--S 749 of 1092
 t0:=(c+d*x)^3/(x^3*(a+b*x)^3)
 --R 
 --R
@@ -14923,9 +14834,9 @@ t0:=(c+d*x)^3/(x^3*(a+b*x)^3)
 --R         3 6       2 5     2   4    3 3
 --R        b x  + 3a b x  + 3a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  749
+--E 749
 
---S  750 of 1092
+--S 750 of 1092
 r0:=-1/2*c^3/(a^3*x^2)+3*c^2*(b*c-a*d)/(a^4*x)+1/2*(b*c-a*d)^3/_
      (a^3*b*(a+b*x)^2)+3*c*(b*c-a*d)^2/(a^4*(a+b*x))+3*c*(b*c-a*d)*_
      (2*b*c-a*d)*log(x)/a^5-3*c*(b*c-a*d)*(2*b*c-a*d)*log(a+b*x)/a^5
@@ -14966,9 +14877,9 @@ r0:=-1/2*c^3/(a^3*x^2)+3*c^2*(b*c-a*d)/(a^4*x)+1/2*(b*c-a*d)^3/_
 --R       5 3 4     6 2 3     7   2
 --R     2a b x  + 4a b x  + 2a b x
 --R                                                    Type: Expression(Integer)
---E  750
+--E 750
 
---S  751 of 1092
+--S 751 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -15007,27 +14918,27 @@ a0:=integrate(t0,x)
 --R       5 3 4     6 2 3     7   2
 --R     2a b x  + 4a b x  + 2a b x
 --R                                         Type: Union(Expression(Integer),...)
---E  751
+--E 751
 
---S  752 of 1092
+--S 752 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  752
+--E 752
 
---S  753 of 1092
+--S 753 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  753
+--E 753
 
 )clear all
 
---S  754 of 1092
+--S 754 of 1092
 t0:=(c+d*x)^3/(x^4*(a+b*x)^3)
 --R 
 --R
@@ -15037,9 +14948,9 @@ t0:=(c+d*x)^3/(x^4*(a+b*x)^3)
 --R         3 7       2 6     2   5    3 4
 --R        b x  + 3a b x  + 3a b x  + a x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  754
+--E 754
 
---S  755 of 1092
+--S 755 of 1092
 r0:=-1/3*c^3/(a^3*x^3)+3/2*c^2*(b*c-a*d)/(a^4*x^2)-3*c*(b*c-a*d)*_
      (2*b*c-a*d)/(a^5*x)-1/2*(b*c-a*d)^3/(a^4*(a+b*x)^2)-(b*c-a*d)^2*_
      (4*b*c-a*d)/(a^5*(a+b*x))-(b*c-a*d)*(10*b^2*c^2-8*a*b*c*d+a^2*d^2)*_
@@ -15081,9 +14992,9 @@ r0:=-1/3*c^3/(a^3*x^3)+3/2*c^2*(b*c-a*d)/(a^4*x^2)-3*c*(b*c-a*d)*_
 --R       6 2 5      7   4     8 3
 --R     6a b x  + 12a b x  + 6a x
 --R                                                    Type: Expression(Integer)
---E  755
+--E 755
 
---S  756 of 1092
+--S 756 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -15122,27 +15033,27 @@ a0:=integrate(t0,x)
 --R       6 2 5      7   4     8 3
 --R     6a b x  + 12a b x  + 6a x
 --R                                         Type: Union(Expression(Integer),...)
---E  756
+--E 756
 
---S  757 of 1092
+--S 757 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  757
+--E 757
 
---S  758 of 1092
+--S 758 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  758
+--E 758
 
 )clear all
 
---S  759 of 1092
+--S 759 of 1092
 t0:=x^7/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -15159,9 +15070,9 @@ t0:=x^7/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  759
+--E 759
 
---S  760 of 1092
+--S 760 of 1092
 r0:=-3*(b*c+a*d)*x/(b^4*d^4)+1/2*x^2/(b^3*d^3)+1/2*a^7/(b^5*(b*c-a*d)^3*_
      (a+b*x)^2)-a^6*(7*b*c-4*a*d)/(b^5*(b*c-a*d)^4*(a+b*x))-1/2*c^7/_
      (d^5*(b*c-a*d)^3*(c+d*x)^2)+c^6*(4*b*c-7*a*d)/(d^5*(b*c-a*d)^4*(c+d*x))-_
@@ -15292,9 +15203,9 @@ r0:=-3*(b*c+a*d)*x/(b^4*d^4)+1/2*x^2/(b^3*d^3)+1/2*a^7/(b^5*(b*c-a*d)^3*_
 --R       7 5 2 10      6 6 3 9      5 7 4 8      4 8 5 7      3 9 6 6     2 10 7 5
 --R     2a b c d   - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b  c d
 --R                                                    Type: Expression(Integer)
---E  760
+--E 760
 
---S  761 of 1092
+--S 761 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -15421,27 +15332,27 @@ a0:=integrate(t0,x)
 --R       7 5 2 10      6 6 3 9      5 7 4 8      4 8 5 7      3 9 6 6     2 10 7 5
 --R     2a b c d   - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b  c d
 --R                                         Type: Union(Expression(Integer),...)
---E  761
+--E 761
 
---S  762 of 1092
+--S 762 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  762
+--E 762
 
---S  763 of 1092
+--S 763 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  763
+--E 763
 
 )clear all
 
---S  764 of 1092
+--S 764 of 1092
 t0:=x^6/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -15458,9 +15369,9 @@ t0:=x^6/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  764
+--E 764
 
---S  765 of 1092
+--S 765 of 1092
 r0:=x/(b^3*d^3)-1/2*a^6/(b^4*(b*c-a*d)^3*(a+b*x)^2)+3*a^5*(2*b*c-a*d)/_
      (b^4*(b*c-a*d)^4*(a+b*x))+1/2*c^6/(d^4*(b*c-a*d)^3*(c+d*x)^2)-_
      3*c^5*(b*c-2*a*d)/(d^4*(b*c-a*d)^4*(c+d*x))+3*a^4*(5*b^2*c^2-_
@@ -15576,9 +15487,9 @@ r0:=x/(b^3*d^3)-1/2*a^6/(b^4*(b*c-a*d)^3*(a+b*x)^2)+3*a^5*(2*b*c-a*d)/_
 --R       7 4 2 9      6 5 3 8      5 6 4 7      4 7 5 6      3 8 6 5     2 9 7 4
 --R     2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                                    Type: Expression(Integer)
---E  765
+--E 765
 
---S  766 of 1092
+--S 766 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -15690,27 +15601,27 @@ a0:=integrate(t0,x)
 --R       7 4 2 9      6 5 3 8      5 6 4 7      4 7 5 6      3 8 6 5     2 9 7 4
 --R     2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  766
+--E 766
 
---S  767 of 1092
+--S 767 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  767
+--E 767
 
---S  768 of 1092
+--S 768 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  768
+--E 768
 
 )clear all
 
---S  769 of 1092
+--S 769 of 1092
 t0:=x^5/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -15727,9 +15638,9 @@ t0:=x^5/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  769
+--E 769
 
---S  770 of 1092
+--S 770 of 1092
 r0:=1/2*a^5/(b^3*(b*c-a*d)^3*(a+b*x)^2)-a^4*(5*b*c-2*a*d)/_
      (b^3*(b*c-a*d)^4*(a+b*x))-1/2*c^5/(d^3*(b*c-a*d)^3*(c+d*x)^2)+_
      c^4*(2*b*c-5*a*d)/(d^3*(b*c-a*d)^4*(c+d*x))-a^3*(10*b^2*c^2-_
@@ -15828,9 +15739,9 @@ r0:=1/2*a^5/(b^3*(b*c-a*d)^3*(a+b*x)^2)-a^4*(5*b*c-2*a*d)/_
 --R       7 3 2 8      6 4 3 7      5 5 4 6      4 6 5 5      3 7 6 4     2 8 7 3
 --R     2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                                    Type: Expression(Integer)
---E  770
+--E 770
 
---S  771 of 1092
+--S 771 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -15925,27 +15836,27 @@ a0:=integrate(t0,x)
 --R       7 3 2 8      6 4 3 7      5 5 4 6      4 6 5 5      3 7 6 4     2 8 7 3
 --R     2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  771
+--E 771
 
---S  772 of 1092
+--S 772 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  772
+--E 772
 
---S  773 of 1092
+--S 773 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  773
+--E 773
 
 )clear all
 
---S  774 of 1092
+--S 774 of 1092
 t0:=x^4/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -15962,9 +15873,9 @@ t0:=x^4/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  774
+--E 774
 
---S  775 of 1092
+--S 775 of 1092
 r0:=-1/2*a^4/(b^2*(b*c-a*d)^3*(a+b*x)^2)+a^3*(4*b*c-a*d)/(b^2*(b*c-a*d)^4*_
      (a+b*x))+1/2*c^4/(d^2*(b*c-a*d)^3*(c+d*x)^2)-c^3*(b*c-4*a*d)/_
      (d^2*(b*c-a*d)^4*(c+d*x))+6*a^2*c^2*log(a+b*x)/(b*c-a*d)^5-_
@@ -16032,9 +15943,9 @@ r0:=-1/2*a^4/(b^2*(b*c-a*d)^3*(a+b*x)^2)+a^3*(4*b*c-a*d)/(b^2*(b*c-a*d)^4*_
 --R       7 2 2 7      6 3 3 6      5 4 4 5      4 5 5 4      3 6 6 3     2 7 7 2
 --R     2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                                    Type: Expression(Integer)
---E  775
+--E 775
 
---S  776 of 1092
+--S 776 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -16099,27 +16010,27 @@ a0:=integrate(t0,x)
 --R       7 2 2 7      6 3 3 6      5 4 4 5      4 5 5 4      3 6 6 3     2 7 7 2
 --R     2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  776
+--E 776
 
---S  777 of 1092
+--S 777 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  777
+--E 777
 
---S  778 of 1092
+--S 778 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  778
+--E 778
 
 )clear all
 
---S  779 of 1092
+--S 779 of 1092
 t0:=x^3/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -16136,9 +16047,9 @@ t0:=x^3/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  779
+--E 779
 
---S  780 of 1092
+--S 780 of 1092
 r0:=1/2*a^3/(b*(b*c-a*d)^3*(a+b*x)^2)-3*a^2*c/((b*c-a*d)^4*(a+b*x))-_
      1/2*c^3/(d*(b*c-a*d)^3*(c+d*x)^2)-3*a*c^2/((b*c-a*d)^4*(c+d*x))-_
      3*a*c*(b*c+a*d)*log(a+b*x)/(b*c-a*d)^5+3*a*c*(b*c+a*d)*log(c+d*x)/_
@@ -16209,9 +16120,9 @@ r0:=1/2*a^3/(b*(b*c-a*d)^3*(a+b*x)^2)-3*a^2*c/((b*c-a*d)^4*(a+b*x))-_
 --R         7   2 6      6 2 3 5      5 3 4 4      4 4 5 3      3 5 6 2     2 6 7
 --R       2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                                    Type: Expression(Integer)
---E  780
+--E 780
 
---S  781 of 1092
+--S 781 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -16279,27 +16190,27 @@ a0:=integrate(t0,x)
 --R         7   2 6      6 2 3 5      5 3 4 4      4 4 5 3      3 5 6 2     2 6 7
 --R       2a b c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d  - 2a b c d
 --R                                         Type: Union(Expression(Integer),...)
---E  781
+--E 781
 
---S  782 of 1092
+--S 782 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  782
+--E 782
 
---S  783 of 1092
+--S 783 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  783
+--E 783
 
 )clear all
 
---S  784 of 1092
+--S 784 of 1092
 t0:=x^2/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -16316,9 +16227,9 @@ t0:=x^2/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  784
+--E 784
 
---S  785 of 1092
+--S 785 of 1092
 r0:=-1/2*a^2/((b*c-a*d)^3*(a+b*x)^2)+a*(2*b*c+a*d)/((b*c-a*d)^4*(a+b*x))+_
      1/2*c^2/((b*c-a*d)^3*(c+d*x)^2)+c*(b*c+2*a*d)/((b*c-a*d)^4*(c+d*x))+_
      (b^2*c^2+4*a*b*c*d+a^2*d^2)*log(a+b*x)/(b*c-a*d)^5-(b^2*c^2+4*a*b*c*d+_
@@ -16390,9 +16301,9 @@ r0:=-1/2*a^2/((b*c-a*d)^3*(a+b*x)^2)+a*(2*b*c+a*d)/((b*c-a*d)^4*(a+b*x))+_
 --R         7 2 5      6   3 4      5 2 4 3      4 3 5 2      3 4 6      2 5 7
 --R       2a c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                                    Type: Expression(Integer)
---E  785
+--E 785
 
---S  786 of 1092
+--S 786 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -16461,27 +16372,27 @@ a0:=integrate(t0,x)
 --R         7 2 5      6   3 4      5 2 4 3      4 3 5 2      3 4 6      2 5 7
 --R       2a c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  786
+--E 786
 
---S  787 of 1092
+--S 787 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  787
+--E 787
 
---S  788 of 1092
+--S 788 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  788
+--E 788
 
 )clear all
 
---S  789 of 1092
+--S 789 of 1092
 t0:=x/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -16497,9 +16408,9 @@ t0:=x/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  789
+--E 789
 
---S  790 of 1092
+--S 790 of 1092
 r0:=1/2*a*b/((b*c-a*d)^3*(a+b*x)^2)-b*(b*c+2*a*d)/((b*c-a*d)^4*(a+b*x))-_
      1/2*c*d/((b*c-a*d)^3*(c+d*x)^2)-d*(2*b*c+a*d)/((b*c-a*d)^4*(c+d*x))-_
      3*b*d*(b*c+a*d)*log(a+b*x)/(b*c-a*d)^5+3*b*d*(b*c+a*d)*_
@@ -16559,9 +16470,9 @@ r0:=1/2*a*b/((b*c-a*d)^3*(a+b*x)^2)-b*(b*c+2*a*d)/((b*c-a*d)^4*(a+b*x))-_
 --R         7 2 5      6   3 4      5 2 4 3      4 3 5 2      3 4 6      2 5 7
 --R       2a c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                                    Type: Expression(Integer)
---E  790
+--E 790
 
---S  791 of 1092
+--S 791 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -16618,27 +16529,27 @@ a0:=integrate(t0,x)
 --R         7 2 5      6   3 4      5 2 4 3      4 3 5 2      3 4 6      2 5 7
 --R       2a c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  791
+--E 791
 
---S  792 of 1092
+--S 792 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  792
+--E 792
 
---S  793 of 1092
+--S 793 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  793
+--E 793
 
 )clear all
 
---S  794 of 1092
+--S 794 of 1092
 t0:=1/((a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -16654,9 +16565,9 @@ t0:=1/((a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3      3 3
 --R       (3a c d + 3a b c )x + a c
 --R                                          Type: Fraction(Polynomial(Integer))
---E  794
+--E 794
 
---S  795 of 1092
+--S 795 of 1092
 r0:=-1/2*b^2/((b*c-a*d)^3*(a+b*x)^2)+3*b^2*d/((b*c-a*d)^4*(a+b*x))+_
      1/2*d^2/((b*c-a*d)^3*(c+d*x)^2)+3*b*d^2/((b*c-a*d)^4*(c+d*x))+_
      6*b^2*d^2*log(a+b*x)/(b*c-a*d)^5-6*b^2*d^2*log(c+d*x)/(b*c-a*d)^5
@@ -16715,9 +16626,9 @@ r0:=-1/2*b^2/((b*c-a*d)^3*(a+b*x)^2)+3*b^2*d/((b*c-a*d)^4*(a+b*x))+_
 --R         7 2 5      6   3 4      5 2 4 3      4 3 5 2      3 4 6      2 5 7
 --R       2a c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                                    Type: Expression(Integer)
---E  795
+--E 795
 
---S  796 of 1092
+--S 796 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -16774,27 +16685,27 @@ a0:=integrate(t0,x)
 --R         7 2 5      6   3 4      5 2 4 3      4 3 5 2      3 4 6      2 5 7
 --R       2a c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  796
+--E 796
 
---S  797 of 1092
+--S 797 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  797
+--E 797
 
---S  798 of 1092
+--S 798 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  798
+--E 798
 
 )clear all
 
---S  799 of 1092
+--S 799 of 1092
 t0:=1/(x*(a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -16810,9 +16721,9 @@ t0:=1/(x*(a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3  2    3 3
 --R       (3a c d + 3a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  799
+--E 799
 
---S  800 of 1092
+--S 800 of 1092
 r0:=1/2*b^3/(a*(b*c-a*d)^3*(a+b*x)^2)+b^3*(b*c-4*a*d)/(a^2*(b*c-a*d)^4*_
      (a+b*x))-1/2*d^3/(c*(b*c-a*d)^3*(c+d*x)^2)-d^3*(4*b*c-a*d)/_
      (c^2*(b*c-a*d)^4*(c+d*x))+log(x)/(a^3*c^3)-b^3*(b^2*c^2-_
@@ -16946,9 +16857,9 @@ r0:=1/2*b^3/(a*(b*c-a*d)^3*(a+b*x)^2)+b^3*(b*c-4*a*d)/(a^2*(b*c-a*d)^4*_
 --R         10 5 5      9   6 4      8 2 7 3      7 3 8 2      6 4 9      5 5 10
 --R       2a  c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                                    Type: Expression(Integer)
---E  800
+--E 800
 
---S  801 of 1092
+--S 801 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -17078,27 +16989,27 @@ a0:=integrate(t0,x)
 --R         10 5 5      9   6 4      8 2 7 3      7 3 8 2      6 4 9      5 5 10
 --R       2a  c d  - 10a b c d  + 20a b c d  - 20a b c d  + 10a b c d - 2a b c
 --R                                         Type: Union(Expression(Integer),...)
---E  801
+--E 801
 
---S  802 of 1092
+--S 802 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  802
+--E 802
 
---S  803 of 1092
+--S 803 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  803
+--E 803
 
 )clear all
 
---S  804 of 1092
+--S 804 of 1092
 t0:=1/(x^2*(a+b*x)^3*(c+d*x)^3)
 --R 
 --R
@@ -17114,9 +17025,9 @@ t0:=1/(x^2*(a+b*x)^3*(c+d*x)^3)
 --R          3 2      2   3  3    3 3 2
 --R       (3a c d + 3a b c )x  + a c x
 --R                                          Type: Fraction(Polynomial(Integer))
---E  804
+--E 804
 
---S  805 of 1092
+--S 805 of 1092
 r0:=(-1)/(a^3*c^3*x)-1/2*b^4/(a^2*(b*c-a*d)^3*(a+b*x)^2)-b^4*(2*b*c-5*a*d)/_
      (a^3*(b*c-a*d)^4*(a+b*x))+1/2*d^4/(c^2*(b*c-a*d)^3*_
      (c+d*x)^2)+d^4*(5*b*c-2*a*d)/(c^3*(b*c-a*d)^4*(c+d*x))-_
@@ -17278,9 +17189,9 @@ r0:=(-1)/(a^3*c^3*x)-1/2*b^4/(a^2*(b*c-a*d)^3*(a+b*x)^2)-b^4*(2*b*c-5*a*d)/_
 --R        11 6 5      10   7 4      9 2 8 3      8 3 9 2      7 4 10      6 5 11
 --R     (2a  c d  - 10a  b c d  + 20a b c d  - 20a b c d  + 10a b c  d - 2a b c  )x
 --R                                                    Type: Expression(Integer)
---E  805
+--E 805
 
---S  806 of 1092
+--S 806 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -17437,27 +17348,27 @@ a0:=integrate(t0,x)
 --R        11 6 5      10   7 4      9 2 8 3      8 3 9 2      7 4 10      6 5 11
 --R     (2a  c d  - 10a  b c d  + 20a b c d  - 20a b c d  + 10a b c  d - 2a b c  )x
 --R                                         Type: Union(Expression(Integer),...)
---E  806
+--E 806
 
---S  807 of 1092
+--S 807 of 1092
 m0:=a0-r0
 --R 
 --R
 --R   (4)  0
 --R                                                    Type: Expression(Integer)
---E  807
+--E 807
 
---S  808 of 1092
+--S 808 of 1092
 d0:=D(m0,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  808
+--E 808
 
 )clear all
 
---S  809 of 1092
+--S 809 of 1092
 t0:=(a+b*x)^2/(x^2*sqrt(c+d*x))
 --R 
 --R
@@ -17467,9 +17378,9 @@ t0:=(a+b*x)^2/(x^2*sqrt(c+d*x))
 --R            2 +-------+
 --R           x \|d x + c
 --R                                                    Type: Expression(Integer)
---E  809
+--E 809
 
---S  810 of 1092
+--S 810 of 1092
 r0:=-a*(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/c^(3/2)+2*b^2*sqrt(c+d*x)/d-_
      a^2*sqrt(c+d*x)/(c*x)
 --R 
@@ -17483,9 +17394,9 @@ r0:=-a*(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/c^(3/2)+2*b^2*sqrt(c+d*x)/d-_
 --R                                           +-+
 --R                                     c d x\|c
 --R                                                    Type: Expression(Integer)
---E  810
+--E 810
 
---S  811 of 1092
+--S 811 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -17510,9 +17421,9 @@ a0:=integrate(t0,x)
 --R                                          +---+
 --R                                    c d x\|- c
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  811
+--E 811
 
---S  812 of 1092
+--S 812 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -17531,17 +17442,17 @@ m0a:=a0.1-r0
 --R        +-+
 --R     2c\|c
 --R                                                    Type: Expression(Integer)
---E  812
+--E 812
 
---S  813 of 1092
+--S 813 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  813
+--E 813
 
---S  814 of 1092
+--S 814 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -17560,19 +17471,19 @@ m0b:=a0.2-r0
 --R       +---+ +-+
 --R     c\|- c \|c
 --R                                                    Type: Expression(Integer)
---E  814
+--E 814
 
---S  815 of 1092
+--S 815 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  815
+--E 815
 
 )clear all
 
---S  816 of 1092
+--S 816 of 1092
 t0:=(c+d*x)^(3/2)/(x^2*(a+b*x)^2)
 --R 
 --R
@@ -17582,9 +17493,9 @@ t0:=(c+d*x)^(3/2)/(x^2*(a+b*x)^2)
 --R         2 4         3    2 2
 --R        b x  + 2a b x  + a x
 --R                                                    Type: Expression(Integer)
---E  816
+--E 816
 
---S  817 of 1092
+--S 817 of 1092
 r0:=-(c+d*x)^(3/2)/(a*x*(a+b*x))+(4*b*c-3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))*_
      sqrt(c)/a^3-(4*b*c-a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))*_
      sqrt(b*c-a*d)/(a^3*sqrt(b))-2*(b*c-a*d)*sqrt(c+d*x)/(a^2*(a+b*x))
@@ -17609,9 +17520,9 @@ r0:=-(c+d*x)^(3/2)/(a*x*(a+b*x))+(4*b*c-3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))*_
 --R       3   2    4   +-+
 --R     (a b x  + a x)\|b
 --R                                                    Type: Expression(Integer)
---E  817
+--E 817
 
---S  818 of 1092
+--S 818 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -17713,9 +17624,9 @@ a0:=integrate(t0,x)
 --R       a b x  + a x
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  818
+--E 818
 
---S  819 of 1092
+--S 819 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -17752,17 +17663,17 @@ m0a:=a0.1-r0
 --R       3 +-+
 --R     2a \|b
 --R                                                    Type: Expression(Integer)
---E  819
+--E 819
 
---S  820 of 1092
+--S 820 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  820
+--E 820
 
---S  821 of 1092
+--S 821 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -17795,19 +17706,19 @@ m0b:=a0.2-r0
 --R       3 +-+
 --R     2a \|b
 --R                                                    Type: Expression(Integer)
---E  821
+--E 821
 
---S  822 of 1092
+--S 822 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  822
+--E 822
 
 )clear all
 
---S  823 of 1092
+--S 823 of 1092
 t0:=(c+d*x)^(1/2)/(x^2*(a+b*x)^2)
 --R 
 --R
@@ -17817,9 +17728,9 @@ t0:=(c+d*x)^(1/2)/(x^2*(a+b*x)^2)
 --R         2 4         3    2 2
 --R        b x  + 2a b x  + a x
 --R                                                    Type: Expression(Integer)
---E  823
+--E 823
 
---S  824 of 1092
+--S 824 of 1092
 r0:=(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*sqrt(c))-(4*b*c-3*a*d)*_
      atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))*sqrt(b)/(a^3*sqrt(b*c-a*d))-_
      2*b*sqrt(c+d*x)/(a^2*(a+b*x))-sqrt(c+d*x)/(a*x*(a+b*x))
@@ -17844,9 +17755,9 @@ r0:=(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*sqrt(c))-(4*b*c-3*a*d)*_
 --R       3   2    4   +-----------+ +-+
 --R     (a b x  + a x)\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  824
+--E 824
 
---S  825 of 1092
+--S 825 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -17956,9 +17867,9 @@ a0:=integrate(t0,x)
 --R       (a b x  + a x)\|- c
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  825
+--E 825
 
---S  826 of 1092
+--S 826 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -17995,17 +17906,17 @@ m0a:=a0.1-r0
 --R       3 +-----------+ +-+
 --R     2a \|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  826
+--E 826
 
---S  827 of 1092
+--S 827 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  827
+--E 827
 
---S  828 of 1092
+--S 828 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -18038,19 +17949,19 @@ m0b:=a0.2-r0
 --R       3 +-----------+ +-+
 --R     2a \|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  828
+--E 828
 
---S  829 of 1092
+--S 829 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  829
+--E 829
 
 )clear all
 
---S  830 of 1092
+--S 830 of 1092
 t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(1/2))
 --R 
 --R
@@ -18059,9 +17970,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(1/2))
 --R          2 4         3    2 2  +-------+
 --R        (b x  + 2a b x  + a x )\|d x + c
 --R                                                    Type: Expression(Integer)
---E  830
+--E 830
 
---S  831 of 1092
+--S 831 of 1092
 r0:=(4*b*c+a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(3/2))-b^(3/2)*_
      (4*b*c-5*a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^3*_
      (b*c-a*d)^(3/2))-b*(2*b*c-a*d)*sqrt(c+d*x)/(a^2*c*(b*c-a*d)*(a+b*x))-_
@@ -18093,9 +18004,9 @@ r0:=(4*b*c+a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(3/2))-b^(3/2)*_
 --R        4         3 2 2  2     5       4   2    +-----------+ +-+
 --R     ((a b c d - a b c )x  + (a c d - a b c )x)\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  831
+--E 831
 
---S  832 of 1092
+--S 832 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -18211,9 +18122,9 @@ a0:=integrate(t0,x)
 --R       ((a b c d - a b c )x  + (a c d - a b c )x)\|- c
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  832
+--E 832
 
---S  833 of 1092
+--S 833 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -18250,17 +18161,17 @@ m0a:=a0.1-r0
 --R        4        3   2  +-----------+ +-+
 --R     (2a c d - 2a b c )\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  833
+--E 833
 
---S  834 of 1092
+--S 834 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  834
+--E 834
 
---S  835 of 1092
+--S 835 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -18298,19 +18209,19 @@ m0b:=a0.2-r0
 --R        4        3   2  +-----------+ +-+
 --R     (2a c d - 2a b c )\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  835
+--E 835
 
---S  836 of 1092
+--S 836 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  836
+--E 836
 
 )clear all
 
---S  837 of 1092
+--S 837 of 1092
 t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(3/2))
 --R 
 --R
@@ -18319,9 +18230,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(3/2))
 --R          2   5              2   4     2            3    2   2  +-------+
 --R        (b d x  + (2a b d + b c)x  + (a d + 2a b c)x  + a c x )\|d x + c
 --R                                                    Type: Expression(Integer)
---E  837
+--E 837
 
---S  838 of 1092
+--S 838 of 1092
 r0:=(4*b*c+3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(5/2))-b^(5/2)*_
      (4*b*c-7*a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/_
      (a^3*(b*c-a*d)^(5/2))-d*(2*b^2*c^2-2*a*b*c*d+3*a^2*d^2)/_
@@ -18366,9 +18277,9 @@ r0:=(4*b*c+3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(5/2))-b^(5/2)*_
 --R        +-----------+ +-+ +-------+
 --R       \|- a d + b c \|c \|d x + c
 --R                                                    Type: Expression(Integer)
---E  838
+--E 838
 
---S  839 of 1092
+--S 839 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -18550,9 +18461,9 @@ a0:=integrate(t0,x)
 --R         \|- c \|d x + c
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  839
+--E 839
 
---S  840 of 1092
+--S 840 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -18592,17 +18503,17 @@ m0a:=a0.1-r0
 --R        5 2 2     4   3      3 2 4  +-----------+ +-+
 --R     (2a c d  - 4a b c d + 2a b c )\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  840
+--E 840
 
---S  841 of 1092
+--S 841 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  841
+--E 841
 
---S  842 of 1092
+--S 842 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -18643,19 +18554,19 @@ m0b:=a0.2-r0
 --R        5 2 2     4   3      3 2 4  +-----------+ +-+
 --R     (2a c d  - 4a b c d + 2a b c )\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  842
+--E 842
 
---S  843 of 1092
+--S 843 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  843
+--E 843
 
 )clear all
 
---S  844 of 1092
+--S 844 of 1092
 t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(5/2))
 --R 
 --R
@@ -18671,9 +18582,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(5/2))
 --R        +-------+
 --R       \|d x + c
 --R                                                    Type: Expression(Integer)
---E  844
+--E 844
 
---S  845 of 1092
+--S 845 of 1092
 r0:=-1/3*d*(6*b^2*c^2-6*a*b*c*d+5*a^2*d^2)/(a^2*c^2*(b*c-a*d)^2*_
      (c+d*x)^(3/2))-b*(2*b*c-a*d)/(a^2*c*(b*c-a*d)*(a+b*x)*(c+d*x)^(3/2))+_
      (-1)/(a*c*x*(a+b*x)*(c+d*x)^(3/2))+(4*b*c+5*a*d)*atanh(sqrt(c+d*x)/_
@@ -18737,9 +18648,9 @@ r0:=-1/3*d*(6*b^2*c^2-6*a*b*c*d+5*a^2*d^2)/(a^2*c^2*(b*c-a*d)^2*_
 --R        +-----------+ +-+ +-------+
 --R       \|- a d + b c \|c \|d x + c
 --R                                                    Type: Expression(Integer)
---E  845
+--E 845
 
---S  846 of 1092
+--S 846 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -19001,9 +18912,9 @@ a0:=integrate(t0,x)
 --R         \|- c \|d x + c
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  846
+--E 846
 
---S  847 of 1092
+--S 847 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -19046,17 +18957,17 @@ m0a:=a0.1-r0
 --R        6 3 3     5   4 2     4 2 5      3 3 6  +-----------+ +-+
 --R     (2a c d  - 6a b c d  + 6a b c d - 2a b c )\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  847
+--E 847
 
---S  848 of 1092
+--S 848 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  848
+--E 848
 
---S  849 of 1092
+--S 849 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -19100,19 +19011,19 @@ m0b:=a0.2-r0
 --R        6 3 3     5   4 2     4 2 5      3 3 6  +-----------+ +-+
 --R     (2a c d  - 6a b c d  + 6a b c d - 2a b c )\|- a d + b c \|c
 --R                                                    Type: Expression(Integer)
---E  849
+--E 849
 
---S  850 of 1092
+--S 850 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  850
+--E 850
 
 )clear all
 
---S  851 of 1092
+--S 851 of 1092
 t0:=x^3*(c+d*x)^(5/2)/(a+b*x)
 --R 
 --R
@@ -19121,9 +19032,9 @@ t0:=x^3*(c+d*x)^(5/2)/(a+b*x)
 --R   (1)  ---------------------------------
 --R                     b x + a
 --R                                                    Type: Expression(Integer)
---E  851
+--E 851
 
---S  852 of 1092
+--S 852 of 1092
 r0:=-2/3*a^3*(b*c-a*d)*(c+d*x)^(3/2)/b^5+2/3465*(40*b^3*c^3+110*a*b^2*c^2*d+_
      495*a^2*b*c*d^2-693*a^3*d^3)*(c+d*x)^(5/2)/(b^4*d^3)-2/693*_
      (20*b^2*c^2+55*a*b*c*d-99*a^2*d^2)*x*(c+d*x)^(5/2)/(b^3*d^2)+_
@@ -19166,9 +19077,9 @@ r0:=-2/3*a^3*(b*c-a*d)*(c+d*x)^(3/2)/b^5+2/3465*(40*b^3*c^3+110*a*b^2*c^2*d+_
 --R          6 3 +-+
 --R     3465b d \|b
 --R                                                    Type: Expression(Integer)
---E  852
+--E 852
 
---S  853 of 1092
+--S 853 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -19244,9 +19155,9 @@ a0:=integrate(t0,x)
 --R       3465b d
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  853
+--E 853
 
---S  854 of 1092
+--S 854 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -19272,17 +19183,17 @@ m0a:=a0.1-r0
 --R      6 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  854
+--E 854
 
---S  855 of 1092
+--S 855 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  855
+--E 855
 
---S  856 of 1092
+--S 856 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -19304,19 +19215,19 @@ m0b:=a0.2-r0
 --R      6 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  856
+--E 856
 
---S  857 of 1092
+--S 857 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  857
+--E 857
 
 )clear all
 
---S  858 of 1092
+--S 858 of 1092
 t0:=x^2*(c+d*x)^(5/2)/(a+b*x)
 --R 
 --R
@@ -19325,9 +19236,9 @@ t0:=x^2*(c+d*x)^(5/2)/(a+b*x)
 --R   (1)  ---------------------------------
 --R                     b x + a
 --R                                                    Type: Expression(Integer)
---E  858
+--E 858
 
---S  859 of 1092
+--S 859 of 1092
 r0:=2/3*a^2*(b*c-a*d)*(c+d*x)^(3/2)/b^4+2/5*a^2*(c+d*x)^(5/2)/b^3-_
      2/63*(2*b*c+9*a*d)*(c+d*x)^(7/2)/(b^2*d^2)+2/9*x*(c+d*x)^(7/2)/(b*d)-_
      2*a^2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/_
@@ -19362,9 +19273,9 @@ r0:=2/3*a^2*(b*c-a*d)*(c+d*x)^(3/2)/b^4+2/5*a^2*(c+d*x)^(5/2)/b^3-_
 --R         5 2 +-+
 --R     315b d \|b
 --R                                                    Type: Expression(Integer)
---E  859
+--E 859
 
---S  860 of 1092
+--S 860 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -19428,9 +19339,9 @@ a0:=integrate(t0,x)
 --R       315b d
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  860
+--E 860
 
---S  861 of 1092
+--S 861 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -19456,17 +19367,17 @@ m0a:=a0.1-r0
 --R      5 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  861
+--E 861
 
---S  862 of 1092
+--S 862 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  862
+--E 862
 
---S  863 of 1092
+--S 863 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -19488,19 +19399,19 @@ m0b:=a0.2-r0
 --R      5 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  863
+--E 863
 
---S  864 of 1092
+--S 864 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  864
+--E 864
 
 )clear all
 
---S  865 of 1092
+--S 865 of 1092
 t0:=x*(c+d*x)^(5/2)/(a+b*x)
 --R 
 --R
@@ -19509,9 +19420,9 @@ t0:=x*(c+d*x)^(5/2)/(a+b*x)
 --R   (1)  --------------------------------
 --R                     b x + a
 --R                                                    Type: Expression(Integer)
---E  865
+--E 865
 
---S  866 of 1092
+--S 866 of 1092
 r0:=-2/3*a*(b*c-a*d)*(c+d*x)^(3/2)/b^3-2/5*a*(c+d*x)^(5/2)/b^2+_
      2/7*(c+d*x)^(7/2)/(b*d)+2*a*(b*c-a*d)^(5/2)*atanh(sqrt(b)*_
      sqrt(c+d*x)/sqrt(b*c-a*d))/b^(9/2)-2*a*(b*c-a*d)^2*sqrt(c+d*x)/b^4
@@ -19539,9 +19450,9 @@ r0:=-2/3*a*(b*c-a*d)*(c+d*x)^(3/2)/b^3-2/5*a*(c+d*x)^(5/2)/b^2+_
 --R         4  +-+
 --R     105b d\|b
 --R                                                    Type: Expression(Integer)
---E  866
+--E 866
 
---S  867 of 1092
+--S 867 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -19599,9 +19510,9 @@ a0:=integrate(t0,x)
 --R       105b d
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  867
+--E 867
 
---S  868 of 1092
+--S 868 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -19627,17 +19538,17 @@ m0a:=a0.1-r0
 --R      4 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  868
+--E 868
 
---S  869 of 1092
+--S 869 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  869
+--E 869
 
---S  870 of 1092
+--S 870 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -19659,19 +19570,19 @@ m0b:=a0.2-r0
 --R      4 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  870
+--E 870
 
---S  871 of 1092
+--S 871 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  871
+--E 871
 
 )clear all
 
---S  872 of 1092
+--S 872 of 1092
 t0:=(c+d*x)^(5/2)/(a+b*x)
 --R 
 --R
@@ -19680,9 +19591,9 @@ t0:=(c+d*x)^(5/2)/(a+b*x)
 --R   (1)  ------------------------------
 --R                    b x + a
 --R                                                    Type: Expression(Integer)
---E  872
+--E 872
 
---S  873 of 1092
+--S 873 of 1092
 r0:=2/3*(b*c-a*d)*(c+d*x)^(3/2)/b^2+2/5*(c+d*x)^(5/2)/b-2*(b*c-a*d)^(5/2)*_
      atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/b^(7/2)+2*(b*c-a*d)^2*_
      sqrt(c+d*x)/b^3
@@ -19704,9 +19615,9 @@ r0:=2/3*(b*c-a*d)*(c+d*x)^(3/2)/b^2+2/5*(c+d*x)^(5/2)/b-2*(b*c-a*d)^(5/2)*_
 --R        3 +-+
 --R     15b \|b
 --R                                                    Type: Expression(Integer)
---E  873
+--E 873
 
---S  874 of 1092
+--S 874 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -19752,9 +19663,9 @@ a0:=integrate(t0,x)
 --R       15b
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  874
+--E 874
 
---S  875 of 1092
+--S 875 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -19780,17 +19691,17 @@ m0a:=a0.1-r0
 --R      3 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  875
+--E 875
 
---S  876 of 1092
+--S 876 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  876
+--E 876
 
---S  877 of 1092
+--S 877 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -19812,19 +19723,19 @@ m0b:=a0.2-r0
 --R      3 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  877
+--E 877
 
---S  878 of 1092
+--S 878 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  878
+--E 878
 
 )clear all
 
---S  879 of 1092
+--S 879 of 1092
 t0:=(c+d*x)^(5/2)/(x*(a+b*x))
 --R 
 --R
@@ -19834,9 +19745,9 @@ t0:=(c+d*x)^(5/2)/(x*(a+b*x))
 --R                     2
 --R                  b x  + a x
 --R                                                    Type: Expression(Integer)
---E  879
+--E 879
 
---S  880 of 1092
+--S 880 of 1092
 r0:=2/3*d*(c+d*x)^(3/2)/b-2*c^(5/2)*atanh(sqrt(c+d*x)/sqrt(c))/a+_
      2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/_
      (a*b^(5/2))+2*d*(2*b*c-a*d)*sqrt(c+d*x)/b^2
@@ -19861,9 +19772,9 @@ r0:=2/3*d*(c+d*x)^(3/2)/b-2*c^(5/2)*atanh(sqrt(c+d*x)/sqrt(c))/a+_
 --R         2 +-+
 --R     3a b \|b
 --R                                                    Type: Expression(Integer)
---E  880
+--E 880
 
---S  881 of 1092
+--S 881 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -19956,9 +19867,9 @@ a0:=integrate(t0,x)
 --R       3a b
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  881
+--E 881
 
---S  882 of 1092
+--S 882 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -19995,17 +19906,17 @@ m0a:=a0.1-r0
 --R        2 +-+
 --R     a b \|b
 --R                                                    Type: Expression(Integer)
---E  882
+--E 882
 
---S  883 of 1092
+--S 883 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  883
+--E 883
 
---S  884 of 1092
+--S 884 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -20038,19 +19949,19 @@ m0b:=a0.2-r0
 --R        2 +-+
 --R     a b \|b
 --R                                                    Type: Expression(Integer)
---E  884
+--E 884
 
---S  885 of 1092
+--S 885 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  885
+--E 885
 
 )clear all
 
---S  886 of 1092
+--S 886 of 1092
 t0:=(c+d*x)^(5/2)/(x^2*(a+b*x))
 --R 
 --R
@@ -20060,9 +19971,9 @@ t0:=(c+d*x)^(5/2)/(x^2*(a+b*x))
 --R                     3      2
 --R                  b x  + a x
 --R                                                    Type: Expression(Integer)
---E  886
+--E 886
 
---S  887 of 1092
+--S 887 of 1092
 r0:=d*(c+d*x)^(3/2)/a-(c+d*x)^(5/2)/(a*x)+c^(3/2)*(2*b*c-5*a*d)*_
      atanh(sqrt(c+d*x)/sqrt(c))/a^2-2*(b*c-a*d)^(5/2)*_
      atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^2*b^(3/2))+_
@@ -20088,9 +19999,9 @@ r0:=d*(c+d*x)^(3/2)/a-(c+d*x)^(5/2)/(a*x)+c^(3/2)*(2*b*c-5*a*d)*_
 --R      2    +-+
 --R     a b x\|b
 --R                                                    Type: Expression(Integer)
---E  887
+--E 887
 
---S  888 of 1092
+--S 888 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -20183,9 +20094,9 @@ a0:=integrate(t0,x)
 --R       a b x
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  888
+--E 888
 
---S  889 of 1092
+--S 889 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -20222,17 +20133,17 @@ m0a:=a0.1-r0
 --R       2  +-+
 --R     2a b\|b
 --R                                                    Type: Expression(Integer)
---E  889
+--E 889
 
---S  890 of 1092
+--S 890 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  890
+--E 890
 
---S  891 of 1092
+--S 891 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -20265,19 +20176,19 @@ m0b:=a0.2-r0
 --R       2  +-+
 --R     2a b\|b
 --R                                                    Type: Expression(Integer)
---E  891
+--E 891
 
---S  892 of 1092
+--S 892 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  892
+--E 892
 
 )clear all
 
---S  893 of 1092
+--S 893 of 1092
 t0:=(c+d*x)^(5/2)/(x^3*(a+b*x))
 --R 
 --R
@@ -20287,9 +20198,9 @@ t0:=(c+d*x)^(5/2)/(x^3*(a+b*x))
 --R                     4      3
 --R                  b x  + a x
 --R                                                    Type: Expression(Integer)
---E  893
+--E 893
 
---S  894 of 1092
+--S 894 of 1092
 r0:=1/4*(4*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x)-1/2*(c+d*x)^(5/2)/(a*x^2)+_
      2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/_
      (a^3*sqrt(b))-1/4*(8*b^2*c^2-20*a*b*c*d+15*a^2*d^2)*_
@@ -20316,9 +20227,9 @@ r0:=1/4*(4*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x)-1/2*(c+d*x)^(5/2)/(a*x^2)+_
 --R       3 2 +-+
 --R     4a x \|b
 --R                                                    Type: Expression(Integer)
---E  894
+--E 894
 
---S  895 of 1092
+--S 895 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -20414,9 +20325,9 @@ a0:=integrate(t0,x)
 --R       4a x
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  895
+--E 895
 
---S  896 of 1092
+--S 896 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -20453,17 +20364,17 @@ m0a:=a0.1-r0
 --R       3 +-+
 --R     8a \|b
 --R                                                    Type: Expression(Integer)
---E  896
+--E 896
 
---S  897 of 1092
+--S 897 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  897
+--E 897
 
---S  898 of 1092
+--S 898 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -20496,19 +20407,19 @@ m0b:=a0.2-r0
 --R       3 +-+
 --R     8a \|b
 --R                                                    Type: Expression(Integer)
---E  898
+--E 898
 
---S  899 of 1092
+--S 899 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  899
+--E 899
 
 )clear all
 
---S  900 of 1092
+--S 900 of 1092
 t0:=(c+d*x)^(5/2)/(x^4*(a+b*x))
 --R 
 --R
@@ -20518,9 +20429,9 @@ t0:=(c+d*x)^(5/2)/(x^4*(a+b*x))
 --R                     5      4
 --R                  b x  + a x
 --R                                                    Type: Expression(Integer)
---E  900
+--E 900
 
---S  901 of 1092
+--S 901 of 1092
 r0:=1/12*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2)-1/3*(c+d*x)^(5/2)/(a*x^3)-_
      2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))*_
      sqrt(b)/a^4+1/8*(16*b^3*c^3-40*a*b^2*c^2*d+30*a^2*b*c*d^2-5*a^3*d^3)*_
@@ -20553,9 +20464,9 @@ r0:=1/12*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2)-1/3*(c+d*x)^(5/2)/(a*x^3)-_
 --R        4 3 +-+
 --R     24a x \|c
 --R                                                    Type: Expression(Integer)
---E  901
+--E 901
 
---S  902 of 1092
+--S 902 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -20681,9 +20592,9 @@ a0:=integrate(t0,x)
 --R       24a x \|- c
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  902
+--E 902
 
---S  903 of 1092
+--S 903 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -20721,17 +20632,17 @@ m0a:=a0.1-r0
 --R        4 +-+
 --R     16a \|c
 --R                                                    Type: Expression(Integer)
---E  903
+--E 903
 
---S  904 of 1092
+--S 904 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  904
+--E 904
 
---S  905 of 1092
+--S 905 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -20766,19 +20677,19 @@ m0b:=a0.2-r0
 --R        4 +-+
 --R     16a \|c
 --R                                                    Type: Expression(Integer)
---E  905
+--E 905
 
---S  906 of 1092
+--S 906 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  906
+--E 906
 
 )clear all
 
---S  907 of 1092
+--S 907 of 1092
 t0:=x^3*(c+d*x)^(5/2)/(a+b*x)^2
 --R 
 --R
@@ -20788,9 +20699,9 @@ t0:=x^3*(c+d*x)^(5/2)/(a+b*x)^2
 --R                 2 2             2
 --R                b x  + 2a b x + a
 --R                                                    Type: Expression(Integer)
---E  907
+--E 907
 
---S  908 of 1092
+--S 908 of 1092
 r0:=1/3*a^2*(6*b*c-11*a*d)*(c+d*x)^(3/2)/b^5-1/315*(20*b^2*c^2+_
      180*a*b*c*d-693*a^2*d^2)*(c+d*x)^(5/2)/(b^4*d^2)+_
      1/63*(10*b*c-99*a*d)*x*(c+d*x)^(5/2)/(b^3*d)+11/9*x^2*(c+d*x)^(5/2)/_
@@ -20833,9 +20744,9 @@ r0:=1/3*a^2*(6*b*c-11*a*d)*(c+d*x)^(3/2)/b^5-1/315*(20*b^2*c^2+_
 --R          7 2          6 2  +-+
 --R     (315b d x + 315a b d )\|b
 --R                                                    Type: Expression(Integer)
---E  908
+--E 908
 
---S  909 of 1092
+--S 909 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -20912,9 +20823,9 @@ a0:=integrate(t0,x)
 --R       315b d x + 315a b d
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  909
+--E 909
 
---S  910 of 1092
+--S 910 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -20940,17 +20851,17 @@ m0a:=a0.1-r0
 --R       6 +-+
 --R     2b \|b
 --R                                                    Type: Expression(Integer)
---E  910
+--E 910
 
---S  911 of 1092
+--S 911 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  911
+--E 911
 
---S  912 of 1092
+--S 912 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -20972,19 +20883,19 @@ m0b:=a0.2-r0
 --R      6 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  912
+--E 912
 
---S  913 of 1092
+--S 913 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  913
+--E 913
 
 )clear all
 
---S  914 of 1092
+--S 914 of 1092
 t0:=x^2*(c+d*x)^(5/2)/(a+b*x)^2
 --R 
 --R
@@ -20994,9 +20905,9 @@ t0:=x^2*(c+d*x)^(5/2)/(a+b*x)^2
 --R                 2 2             2
 --R                b x  + 2a b x + a
 --R                                                    Type: Expression(Integer)
---E  914
+--E 914
 
---S  915 of 1092
+--S 915 of 1092
 r0:=-1/3*a*(4*b*c-9*a*d)*(c+d*x)^(3/2)/b^4-1/5*a*(4*b*c-9*a*d)*_
      (c+d*x)^(5/2)/(b^3*(b*c-a*d))+2/7*(c+d*x)^(7/2)/(b^2*d)-_
      a^2*(c+d*x)^(7/2)/(b^2*(b*c-a*d)*(a+b*x))+a*(4*b*c-9*a*d)*_
@@ -21035,9 +20946,9 @@ r0:=-1/3*a*(4*b*c-9*a*d)*(c+d*x)^(3/2)/b^4-1/5*a*(4*b*c-9*a*d)*_
 --R          6            5   +-+
 --R     (105b d x + 105a b d)\|b
 --R                                                    Type: Expression(Integer)
---E  915
+--E 915
 
---S  916 of 1092
+--S 916 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -21108,9 +21019,9 @@ a0:=integrate(t0,x)
 --R       105b d x + 105a b d
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  916
+--E 916
 
---S  917 of 1092
+--S 917 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -21136,17 +21047,17 @@ m0a:=a0.1-r0
 --R       5 +-+
 --R     2b \|b
 --R                                                    Type: Expression(Integer)
---E  917
+--E 917
 
---S  918 of 1092
+--S 918 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  918
+--E 918
 
---S  919 of 1092
+--S 919 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -21168,19 +21079,19 @@ m0b:=a0.2-r0
 --R      5 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  919
+--E 919
 
---S  920 of 1092
+--S 920 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  920
+--E 920
 
 )clear all
 
---S  921 of 1092
+--S 921 of 1092
 t0:=x*(c+d*x)^(5/2)/(a+b*x)^2
 --R 
 --R
@@ -21190,9 +21101,9 @@ t0:=x*(c+d*x)^(5/2)/(a+b*x)^2
 --R                2 2             2
 --R               b x  + 2a b x + a
 --R                                                    Type: Expression(Integer)
---E  921
+--E 921
 
---S  922 of 1092
+--S 922 of 1092
 r0:=1/3*(2*b*c-7*a*d)*(c+d*x)^(3/2)/b^3+1/5*(2*b*c-7*a*d)*(c+d*x)^(5/2)/_
      (b^2*(b*c-a*d))+a*(c+d*x)^(7/2)/(b*(b*c-a*d)*(a+b*x))-(2*b*c-7*a*d)*_
      (b*c-a*d)^(3/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/b^(9/2)+_
@@ -21224,9 +21135,9 @@ r0:=1/3*(2*b*c-7*a*d)*(c+d*x)^(3/2)/b^3+1/5*(2*b*c-7*a*d)*(c+d*x)^(5/2)/_
 --R         5         4  +-+
 --R     (15b x + 15a b )\|b
 --R                                                    Type: Expression(Integer)
---E  922
+--E 922
 
---S  923 of 1092
+--S 923 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -21285,9 +21196,9 @@ a0:=integrate(t0,x)
 --R       15b x + 15a b
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  923
+--E 923
 
---S  924 of 1092
+--S 924 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -21313,17 +21224,17 @@ m0a:=a0.1-r0
 --R       4 +-+
 --R     2b \|b
 --R                                                    Type: Expression(Integer)
---E  924
+--E 924
 
---S  925 of 1092
+--S 925 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  925
+--E 925
 
---S  926 of 1092
+--S 926 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -21345,19 +21256,19 @@ m0b:=a0.2-r0
 --R      4 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  926
+--E 926
 
---S  927 of 1092
+--S 927 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  927
+--E 927
 
 )clear all
 
---S  928 of 1092
+--S 928 of 1092
 t0:=(c+d*x)^(5/2)/(a+b*x)^2
 --R 
 --R
@@ -21367,9 +21278,9 @@ t0:=(c+d*x)^(5/2)/(a+b*x)^2
 --R               2 2             2
 --R              b x  + 2a b x + a
 --R                                                    Type: Expression(Integer)
---E  928
+--E 928
 
---S  929 of 1092
+--S 929 of 1092
 r0:=5/3*d*(c+d*x)^(3/2)/b^2-(c+d*x)^(5/2)/(b*(a+b*x))-5*d*(b*c-a*d)^(3/2)*_
      atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/b^(7/2)+5*d*(b*c-a*d)*_
      sqrt(c+d*x)/b^3
@@ -21394,9 +21305,9 @@ r0:=5/3*d*(c+d*x)^(3/2)/b^2-(c+d*x)^(5/2)/(b*(a+b*x))-5*d*(b*c-a*d)^(3/2)*_
 --R        4        3  +-+
 --R     (3b x + 3a b )\|b
 --R                                                    Type: Expression(Integer)
---E  929
+--E 929
 
---S  930 of 1092
+--S 930 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -21447,9 +21358,9 @@ a0:=integrate(t0,x)
 --R       3b x + 3a b
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  930
+--E 930
 
---S  931 of 1092
+--S 931 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -21475,17 +21386,17 @@ m0a:=a0.1-r0
 --R       3 +-+
 --R     2b \|b
 --R                                                    Type: Expression(Integer)
---E  931
+--E 931
 
---S  932 of 1092
+--S 932 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  932
+--E 932
 
---S  933 of 1092
+--S 933 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -21507,19 +21418,19 @@ m0b:=a0.2-r0
 --R      3 +-+
 --R     b \|b
 --R                                                    Type: Expression(Integer)
---E  933
+--E 933
 
---S  934 of 1092
+--S 934 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  934
+--E 934
 
 )clear all
 
---S  935 of 1092
+--S 935 of 1092
 t0:=(c+d*x)^(5/2)/(x*(a+b*x)^2)
 --R 
 --R
@@ -21529,9 +21440,9 @@ t0:=(c+d*x)^(5/2)/(x*(a+b*x)^2)
 --R              2 3         2    2
 --R             b x  + 2a b x  + a x
 --R                                                    Type: Expression(Integer)
---E  935
+--E 935
 
---S  936 of 1092
+--S 936 of 1092
 r0:=-d*(c+d*x)^(3/2)/(a*b)+(c+d*x)^(5/2)/(a*(a+b*x))-2*c^(5/2)*_
      atanh(sqrt(c+d*x)/sqrt(c))/a^2+(b*c-a*d)^(3/2)*(2*b*c+3*a*d)*_
      atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^2*b^(5/2))-_
@@ -21560,9 +21471,9 @@ r0:=-d*(c+d*x)^(3/2)/(a*b)+(c+d*x)^(5/2)/(a*(a+b*x))-2*c^(5/2)*_
 --R       2 3     3 2  +-+
 --R     (a b x + a b )\|b
 --R                                                    Type: Expression(Integer)
---E  936
+--E 936
 
---S  937 of 1092
+--S 937 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -21660,9 +21571,9 @@ a0:=integrate(t0,x)
 --R       a b x + a b
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  937
+--E 937
 
---S  938 of 1092
+--S 938 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -21699,17 +21610,17 @@ m0a:=a0.1-r0
 --R       2 2 +-+
 --R     2a b \|b
 --R                                                    Type: Expression(Integer)
---E  938
+--E 938
 
---S  939 of 1092
+--S 939 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  939
+--E 939
 
---S  940 of 1092
+--S 940 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -21742,19 +21653,19 @@ m0b:=a0.2-r0
 --R      2 2 +-+
 --R     a b \|b
 --R                                                    Type: Expression(Integer)
---E  940
+--E 940
 
---S  941 of 1092
+--S 941 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  941
+--E 941
 
 )clear all
 
---S  942 of 1092
+--S 942 of 1092
 t0:=(c+d*x)^(5/2)/(x^2*(a+b*x)^2)
 --R 
 --R
@@ -21764,9 +21675,9 @@ t0:=(c+d*x)^(5/2)/(x^2*(a+b*x)^2)
 --R              2 4         3    2 2
 --R             b x  + 2a b x  + a x
 --R                                                    Type: Expression(Integer)
---E  942
+--E 942
 
---S  943 of 1092
+--S 943 of 1092
 r0a:=c^(3/2)*(4*b*c-5*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/a^3-(b*c-a*d)^(3/2)*_
      (4*b*c+a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^3*b^(3/2))-_
      c^2*sqrt(c+d*x)/(a^2*x)-(b*c-a*d)^2*sqrt(c+d*x)/(a^2*b*(a+b*x))
@@ -21797,9 +21708,9 @@ r0a:=c^(3/2)*(4*b*c-5*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/a^3-(b*c-a*d)^(3/2)*_
 --R       3 2 2    4     +-+
 --R     (a b x  + a b x)\|b
 --R                                                    Type: Expression(Integer)
---E  943
+--E 943
 
---S  944 of 1092
+--S 944 of 1092
 r0b:=-2*(b*c-a*d)*(c+d*x)^(3/2)/(a^2*(a+b*x))-(c+d*x)^(5/2)/(a*x*(a+b*x))+_
      c^(3/2)*(4*b*c-5*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/a^3-(b*c-a*d)^(3/2)*_
      (4*b*c+a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^3*b^(3/2))+_
@@ -21831,9 +21742,9 @@ r0b:=-2*(b*c-a*d)*(c+d*x)^(3/2)/(a^2*(a+b*x))-(c+d*x)^(5/2)/(a*x*(a+b*x))+_
 --R       3 2 2    4     +-+
 --R     (a b x  + a b x)\|b
 --R                                                    Type: Expression(Integer)
---E  944
+--E 944
 
---S  945 of 1092
+--S 945 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -21943,9 +21854,9 @@ a0:=integrate(t0,x)
 --R       a b x  + a b x
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  945
+--E 945
 
---S  946 of 1092
+--S 946 of 1092
 m0a:=a0.1-r0a
 --R 
 --R
@@ -21982,17 +21893,17 @@ m0a:=a0.1-r0a
 --R       3  +-+
 --R     2a b\|b
 --R                                                    Type: Expression(Integer)
---E  946
+--E 946
 
---S  947 of 1092
+--S 947 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (6)  0
 --R                                                    Type: Expression(Integer)
---E  947
+--E 947
 
---S  948 of 1092
+--S 948 of 1092
 m0b:=a0.1-r0b
 --R 
 --R
@@ -22029,17 +21940,17 @@ m0b:=a0.1-r0b
 --R       3  +-+
 --R     2a b\|b
 --R                                                    Type: Expression(Integer)
---E  948
+--E 948
 
---S  949 of 1092
+--S 949 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (8)  0
 --R                                                    Type: Expression(Integer)
---E  949
+--E 949
 
---S  950 of 1092
+--S 950 of 1092
 m0c:=a0.2-r0a
 --R 
 --R
@@ -22072,17 +21983,17 @@ m0c:=a0.2-r0a
 --R       3  +-+
 --R     2a b\|b
 --R                                                    Type: Expression(Integer)
---E  950
+--E 950
 
---S  951 of 1092
+--S 951 of 1092
 d0c:=D(m0c,x)
 --R 
 --R
 --R   (10)  0
 --R                                                    Type: Expression(Integer)
---E  951
+--E 951
 
---S  952 of 1092
+--S 952 of 1092
 m0d:=a0.2-r0b
 --R 
 --R
@@ -22115,19 +22026,19 @@ m0d:=a0.2-r0b
 --R       3  +-+
 --R     2a b\|b
 --R                                                    Type: Expression(Integer)
---E  952
+--E 952
 
---S  953 of 1092
+--S 953 of 1092
 d0d:=D(m0d,x)
 --R 
 --R
 --R   (12)  0
 --R                                                    Type: Expression(Integer)
---E  953
+--E 953
 
 )clear all
 
---S  954 of 1092
+--S 954 of 1092
 t0:=(c+d*x)^(5/2)/(x^3*(a+b*x)^2)
 --R 
 --R
@@ -22137,9 +22048,9 @@ t0:=(c+d*x)^(5/2)/(x^3*(a+b*x)^2)
 --R              2 5         4    2 3
 --R             b x  + 2a b x  + a x
 --R                                                    Type: Expression(Integer)
---E  954
+--E 954
 
---S  955 of 1092
+--S 955 of 1092
 r0:=1/4*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x*(a+b*x))-1/2*(c+d*x)^(5/2)/_
      (a*x^2*(a+b*x))+(b*c-a*d)^(3/2)*(6*b*c-a*d)*atanh(sqrt(b)*sqrt(c+d*x)/_
      sqrt(b*c-a*d))/(a^4*sqrt(b))-1/4*(24*b^2*c^2-40*a*b*c*d+15*a^2*d^2)*_
@@ -22178,9 +22089,9 @@ r0:=1/4*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x*(a+b*x))-1/2*(c+d*x)^(5/2)/_
 --R        4   3     5 2  +-+
 --R     (4a b x  + 4a x )\|b
 --R                                                    Type: Expression(Integer)
---E  955
+--E 955
 
---S  956 of 1092
+--S 956 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -22314,9 +22225,9 @@ a0:=integrate(t0,x)
 --R       4a b x  + 4a x
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  956
+--E 956
 
---S  957 of 1092
+--S 957 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -22353,17 +22264,17 @@ m0a:=a0.1-r0
 --R       4 +-+
 --R     8a \|b
 --R                                                    Type: Expression(Integer)
---E  957
+--E 957
 
---S  958 of 1092
+--S 958 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  958
+--E 958
 
---S  959 of 1092
+--S 959 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -22396,19 +22307,19 @@ m0b:=a0.2-r0
 --R       4 +-+
 --R     8a \|b
 --R                                                    Type: Expression(Integer)
---E  959
+--E 959
 
---S  960 of 1092
+--S 960 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  960
+--E 960
 
 )clear all
 
---S  961 of 1092
+--S 961 of 1092
 t0:=(c+d*x)^(5/2)/(x^4*(a+b*x)^2)
 --R 
 --R
@@ -22418,9 +22329,9 @@ t0:=(c+d*x)^(5/2)/(x^4*(a+b*x)^2)
 --R              2 6         5    2 4
 --R             b x  + 2a b x  + a x
 --R                                                    Type: Expression(Integer)
---E  961
+--E 961
 
---S  962 of 1092
+--S 962 of 1092
 r0:=1/12*(8*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2*(a+b*x))-1/3*(c+d*x)^(5/2)/_
      (a*x^3*(a+b*x))-(8*b*c-3*a*d)*(b*c-a*d)^(3/2)*atanh(sqrt(b)*_
      sqrt(c+d*x)/sqrt(b*c-a*d))*sqrt(b)/a^5+1/8*(64*b^3*c^3-_
@@ -22467,9 +22378,9 @@ r0:=1/12*(8*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2*(a+b*x))-1/3*(c+d*x)^(5/2)/_
 --R         5   4      6 3  +-+
 --R     (24a b x  + 24a x )\|c
 --R                                                    Type: Expression(Integer)
---E  962
+--E 962
 
---S  963 of 1092
+--S 963 of 1092
 a0:=integrate(t0,x)
 --R 
 --R
@@ -22635,9 +22546,9 @@ a0:=integrate(t0,x)
 --R       (24a b x  + 24a x )\|- c
 --R     ]
 --R                                   Type: Union(List(Expression(Integer)),...)
---E  963
+--E 963
 
---S  964 of 1092
+--S 964 of 1092
 m0a:=a0.1-r0
 --R 
 --R
@@ -22678,17 +22589,17 @@ m0a:=a0.1-r0
 --R        5 +-+
 --R     16a \|c
 --R                                                    Type: Expression(Integer)
---E  964
+--E 964
 
---S  965 of 1092
+--S 965 of 1092
 d0a:=D(m0a,x)
 --R 
 --R
 --R   (5)  0
 --R                                                    Type: Expression(Integer)
---E  965
+--E 965
 
---S  966 of 1092
+--S 966 of 1092
 m0b:=a0.2-r0
 --R 
 --R
@@ -22726,28 +22637,28 @@ m0b:=a0.2-r0
 --R        5 +-+
 --R     16a \|c
 --R                                                    Type: Expression(Integer)
---E  966
+--E 966
 
---S  967 of 1092
+--S 967 of 1092
 d0b:=D(m0b,x)
 --R 
 --R
 --R   (7)  0
 --R                                                    Type: Expression(Integer)
---E  967
+--E 967
 
 )clear all
 
---S  968 of 1092
+--S 968 of 1092
 t0:=x^3*sqrt(a+b*x)*sqrt(c+d*x)
 --R 
 --R
 --R         3 +-------+ +-------+
 --R   (1)  x \|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  968
+--E 968
 
---S  969 of 1092
+--S 969 of 1092
 r0:=1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
      atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(9/2)*d^(9/2))-_
      1/960*(105*b^3*c^3-5*a*b^2*c^2*d-17*a^2*b*c*d^2-35*a^3*d^3)*_
@@ -22786,32 +22697,32 @@ r0:=1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
 --R          4 4 +-+ +-+
 --R     1920b d \|b \|d
 --R                                                    Type: Expression(Integer)
---E  969
+--E 969
 
---S  970 of 1092
+--S 970 of 1092
 --a0:=integrate(t0,x)
---E  970
+--E 970
 
---S  971 of 1092
+--S 971 of 1092
 --m0:=a0-r0
---E  971
+--E 971
 
---S  972 of 1092
+--S 972 of 1092
 --d0:=D(m0,x)
---E  972
+--E 972
 
 )clear all
 
---S  973 of 1092
+--S 973 of 1092
 t0:=x^2*sqrt(a+b*x)*sqrt(c+d*x)
 --R 
 --R
 --R         2 +-------+ +-------+
 --R   (1)  x \|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  973
+--E 973
 
---S  974 of 1092
+--S 974 of 1092
 r0:=-5/24*(b*c+a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d^2)+1/4*x*_
      (a+b*x)^(3/2)*(c+d*x)^(3/2)/(b*d)+1/64*(b*c-a*d)^2*_
      (4*a*b*c*d-5*(b*c+a*d)^2)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*_
@@ -22845,32 +22756,32 @@ r0:=-5/24*(b*c+a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d^2)+1/4*x*_
 --R         3 3 +-+ +-+
 --R     192b d \|b \|d
 --R                                                    Type: Expression(Integer)
---E  974
+--E 974
 
---S  975 of 1092
+--S 975 of 1092
 --a0:=integrate(t0,x)
---E  975
+--E 975
 
---S  976 of 1092
+--S 976 of 1092
 --m0:=a0-r0
---E  976
+--E 976
 
---S  977 of 1092
+--S 977 of 1092
 --d0:=D(m0,x)
---E  977
+--E 977
 
 )clear all
 
---S  978 of 1092
+--S 978 of 1092
 t0:=x*sqrt(a+b*x)*sqrt(c+d*x)
 --R 
 --R
 --R          +-------+ +-------+
 --R   (1)  x\|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  978
+--E 978
 
---S  979 of 1092
+--S 979 of 1092
 r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b*d)+1/8*(b*c-a*d)^2*(b*c+a*d)*_
      atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(5/2)*d^(5/2))-_
      1/4*(b*c+a*d)*(a+b*x)^(3/2)*sqrt(c+d*x)/(b^2*d)+1/8*_
@@ -22893,32 +22804,32 @@ r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b*d)+1/8*(b*c-a*d)^2*(b*c+a*d)*_
 --R        2 2 +-+ +-+
 --R     24b d \|b \|d
 --R                                                    Type: Expression(Integer)
---E  979
+--E 979
 
---S  980 of 1092
+--S 980 of 1092
 --a0:=integrate(t0,x)
---E  980
+--E 980
 
---S  981 of 1092
+--S 981 of 1092
 --m0:=a0-r0
---E  981
+--E 981
 
---S  982 of 1092
+--S 982 of 1092
 --d0:=D(m0,x)
---E  982
+--E 982
 
 )clear all
 
---S  983 of 1092
+--S 983 of 1092
 t0:=sqrt(a+b*x)*sqrt(c+d*x)
 --R 
 --R
 --R         +-------+ +-------+
 --R   (1)  \|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  983
+--E 983
 
---S  984 of 1092
+--S 984 of 1092
 r0:=-1/4*(b*c-a*d)^2*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
      (b^(3/2)*d^(3/2))+1/2*(a+b*x)^(3/2)*sqrt(c+d*x)/b+1/4*(b*c-a*d)*_
      sqrt(a+b*x)*sqrt(c+d*x)/(b*d)
@@ -22937,23 +22848,23 @@ r0:=-1/4*(b*c-a*d)^2*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
 --R          +-+ +-+
 --R     4b d\|b \|d
 --R                                                    Type: Expression(Integer)
---E  984
+--E 984
 
---S  985 of 1092
+--S 985 of 1092
 --a0:=integrate(t0,x)
---E  985
+--E 985
 
---S  986 of 1092
+--S 986 of 1092
 --m0:=a0-r0
---E  986
+--E 986
 
---S  987 of 1092
+--S 987 of 1092
 --d0:=D(m0,x)
---E  987
+--E 987
 
 )clear all
 
---S  988 of 1092
+--S 988 of 1092
 t0:=sqrt(a+b*x)*sqrt(c+d*x)/x
 --R 
 --R
@@ -22962,9 +22873,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x
 --R   (1)  --------------------
 --R                  x
 --R                                                    Type: Expression(Integer)
---E  988
+--E 988
 
---S  989 of 1092
+--S 989 of 1092
 r0:=-2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)*sqrt(c)+_
      (b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
      (sqrt(b)*sqrt(d))+sqrt(a+b*x)*sqrt(c+d*x)
@@ -22983,23 +22894,23 @@ r0:=-2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)*sqrt(c)+_
 --R      +-+ +-+
 --R     \|b \|d
 --R                                                    Type: Expression(Integer)
---E  989
+--E 989
 
---S  990 of 1092 (non-algebraic residues)
+--S 990 of 1092 (non-algebraic residues)
 --a0:=integrate(t0,x)
---E  990
+--E 990
 
---S  991 of 1092
+--S 991 of 1092
 --m0:=a0-r0
---E  991
+--E 991
 
---S  992 of 1092
+--S 992 of 1092
 --d0:=D(m0,x)
---E  992
+--E 992
 
 )clear all
 
---S  993 of 1092
+--S 993 of 1092
 t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^2
 --R 
 --R
@@ -23009,9 +22920,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^2
 --R                  2
 --R                 x
 --R                                                    Type: Expression(Integer)
---E  993
+--E 993
 
---S  994 of 1092
+--S 994 of 1092
 r0:=-(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
      (sqrt(a)*sqrt(c))+2*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*_
      sqrt(b)*sqrt(d)-sqrt(a+b*x)*sqrt(c+d*x)/x
@@ -23033,23 +22944,23 @@ r0:=-(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
 --R       +-+ +-+
 --R     x\|a \|c
 --R                                                    Type: Expression(Integer)
---E  994
+--E 994
 
---S  995 of 1092
+--S 995 of 1092
 --a0:=integrate(t0,x)
---E  995
+--E 995
 
---S  996 of 1092
+--S 996 of 1092
 --m0:=a0-r0
---E  996
+--E 996
 
---S  997 of 1092
+--S 997 of 1092
 --d0:=D(m0,x)
---E  997
+--E 997
 
 )clear all
 
---S  998 of 1092
+--S 998 of 1092
 t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^3
 --R 
 --R
@@ -23059,9 +22970,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^3
 --R                  3
 --R                 x
 --R                                                    Type: Expression(Integer)
---E  998
+--E 998
 
---S  999 of 1092
+--S 999 of 1092
 r0:=1/4*(b*c-a*d)^2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
      (a^(3/2)*c^(3/2))-1/2*(c+d*x)^(3/2)*sqrt(a+b*x)/(c*x^2)-_
      1/4*(b*c-a*d)*sqrt(a+b*x)*sqrt(c+d*x)/(a*c*x)
@@ -23080,23 +22991,23 @@ r0:=1/4*(b*c-a*d)^2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
 --R           2 +-+ +-+
 --R     4a c x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  999
+--E 999
 
---S  1000 of 1092
+--S 1000 of 1092
 --a0:=integrate(t0,x)
---E  1000
+--E 1000
 
---S  1001 of 1092
+--S 1001 of 1092
 --m0:=a0-r0
---E  1001
+--E 1001
 
---S  1002 of 1092
+--S 1002 of 1092
 --d0:=D(m0,x)
---E  1002
+--E 1002
 
 )clear all
 
---S  1003 of 1092
+--S 1003 of 1092
 t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^4
 --R 
 --R
@@ -23106,9 +23017,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^4
 --R                  4
 --R                 x
 --R                                                    Type: Expression(Integer)
---E  1003
+--E 1003
 
---S  1004 of 1092
+--S 1004 of 1092
 r0:=-1/8*(b*c-a*d)^2*(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
      sqrt(c+d*x)))/(a^(5/2)*c^(5/2))-1/3*sqrt(a+b*x)*sqrt(c+d*x)/x^3-_
      1/12*(b*c+a*d)*sqrt(a+b*x)*sqrt(c+d*x)/(a*c*x^2)+_
@@ -23131,23 +23042,23 @@ r0:=-1/8*(b*c-a*d)^2*(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
 --R        2 2 3 +-+ +-+
 --R     24a c x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  1004
+--E 1004
 
---S  1005 of 1092
+--S 1005 of 1092
 --a0:=integrate(t0,x)
---E  1005
+--E 1005
 
---S  1006 of 1092
+--S 1006 of 1092
 --m0:=a0-r0
---E  1006
+--E 1006
 
---S  1007 of 1092
+--S 1007 of 1092
 --d0:=D(m0,x)
---E  1007
+--E 1007
 
 )clear all
 
---S  1008 of 1092
+--S 1008 of 1092
 t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^5
 --R 
 --R
@@ -23157,9 +23068,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^5
 --R                  5
 --R                 x
 --R                                                    Type: Expression(Integer)
---E  1008
+--E 1008
 
---S  1009 of 1092
+--S 1009 of 1092
 r0:=1/64*(b*c-a*d)^2*(5*b^2*c^2+6*a*b*c*d+5*a^2*d^2)*atanh(sqrt(c)*_
      sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(7/2)*c^(7/2))-_
      1/4*sqrt(a+b*x)*sqrt(c+d*x)/x^4-1/24*(b*c+a*d)*sqrt(a+b*x)*_
@@ -23190,23 +23101,23 @@ r0:=1/64*(b*c-a*d)^2*(5*b^2*c^2+6*a*b*c*d+5*a^2*d^2)*atanh(sqrt(c)*_
 --R         3 3 4 +-+ +-+
 --R     192a c x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  1009
+--E 1009
 
---S  1010 of 1092
+--S 1010 of 1092
 --a0:=integrate(t0,x)
---E  1010
+--E 1010
 
---S  1011 of 1092
+--S 1011 of 1092
 --m0:=a0-r0
---E  1011
+--E 1011
 
---S  1012 of 1092
+--S 1012 of 1092
 --d0:=D(m0,x)
---E  1012
+--E 1012
 
 )clear all
 
---S  1013 of 1092
+--S 1013 of 1092
 t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^6
 --R 
 --R
@@ -23216,9 +23127,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^6
 --R                  6
 --R                 x
 --R                                                    Type: Expression(Integer)
---E  1013
+--E 1013
 
---S  1014 of 1092
+--S 1014 of 1092
 r0:=-1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
      atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(9/2)*c^(9/2))-_
      1/5*sqrt(a+b*x)*sqrt(c+d*x)/x^5-1/40*(b*c+a*d)*sqrt(a+b*x)*_
@@ -23258,32 +23169,32 @@ r0:=-1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
 --R          4 4 5 +-+ +-+
 --R     1920a c x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  1014
+--E 1014
 
---S  1015 of 1092
+--S 1015 of 1092
 --a0:=integrate(t0,x)
---E  1015
+--E 1015
 
---S  1016 of 1092
+--S 1016 of 1092
 --m0:=a0-r0
---E  1016
+--E 1016
 
---S  1017 of 1092
+--S 1017 of 1092
 --d0:=D(m0,x)
---E  1017
+--E 1017
 
 )clear all
 
---S  1018 of 1092
+--S 1018 of 1092
 t0:=x^2*(c+d*x)^(3/2)*sqrt(a+b*x)
 --R 
 --R
 --R            3      2  +-------+ +-------+
 --R   (1)  (d x  + c x )\|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  1018
+--E 1018
 
---S  1019 of 1092
+--S 1019 of 1092
 r0:=1/48*(3*b^2*c^2+6*a*b*c*d+7*a^2*d^2)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/_
      (b^3*d^2)-1/40*(5*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b^2*d^2)+_
      1/5*x*(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b*d)-1/128*(b*c-a*d)^3*_
@@ -23322,32 +23233,32 @@ r0:=1/48*(3*b^2*c^2+6*a*b*c*d+7*a^2*d^2)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/_
 --R          4 3 +-+ +-+
 --R     1920b d \|b \|d
 --R                                                    Type: Expression(Integer)
---E  1019
+--E 1019
 
---S  1020 of 1092
+--S 1020 of 1092
 --a0:=integrate(t0,x)
---E  1020
+--E 1020
 
---S  1021 of 1092
+--S 1021 of 1092
 --m0:=a0-r0
---E  1021
+--E 1021
 
---S  1022 of 1092
+--S 1022 of 1092
 --d0:=D(m0,x)
---E  1022
+--E 1022
 
 )clear all
 
---S  1023 of 1092
+--S 1023 of 1092
 t0:=x*(c+d*x)^(3/2)*sqrt(a+b*x)
 --R 
 --R
 --R            2        +-------+ +-------+
 --R   (1)  (d x  + c x)\|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  1023
+--E 1023
 
---S  1024 of 1092
+--S 1024 of 1092
 r0:=-1/24*(3*b*c+5*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d)+1/4*_
      (a+b*x)^(3/2)*(c+d*x)^(5/2)/(b*d)+1/64*(b*c-a*d)^3*(3*b*c+5*a*d)*_
      atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(7/2)*d^(5/2))-_
@@ -23380,32 +23291,32 @@ r0:=-1/24*(3*b*c+5*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d)+1/4*_
 --R         3 2 +-+ +-+
 --R     192b d \|b \|d
 --R                                                    Type: Expression(Integer)
---E  1024
+--E 1024
 
---S  1025 of 1092
+--S 1025 of 1092
 --a0:=integrate(t0,x)
---E  1025
+--E 1025
 
---S  1026 of 1092
+--S 1026 of 1092
 --m0:=a0-r0
---E  1026
+--E 1026
 
---S  1027 of 1092
+--S 1027 of 1092
 --d0:=D(m0,x)
---E  1027
+--E 1027
 
 )clear all
 
---S  1028 of 1092
+--S 1028 of 1092
 t0:=(c+d*x)^(3/2)*sqrt(a+b*x)
 --R 
 --R
 --R                  +-------+ +-------+
 --R   (1)  (d x + c)\|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  1028
+--E 1028
 
---S  1029 of 1092
+--S 1029 of 1092
 r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b-1/8*(b*c-a*d)^3*atanh(sqrt(d)*_
      sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(5/2)*d^(3/2))+1/4*(b*c-a*d)*_
      (a+b*x)^(3/2)*sqrt(c+d*x)/b^2+1/8*(b*c-a*d)^2*sqrt(a+b*x)*_
@@ -23428,23 +23339,23 @@ r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b-1/8*(b*c-a*d)^3*atanh(sqrt(d)*_
 --R        2  +-+ +-+
 --R     24b d\|b \|d
 --R                                                    Type: Expression(Integer)
---E  1029
+--E 1029
 
---S  1030 of 1092
+--S 1030 of 1092
 --a0:=integrate(t0,x)
---E  1030
+--E 1030
 
---S  1031 of 1092
+--S 1031 of 1092
 --m0:=a0-r0
---E  1031
+--E 1031
 
---S  1032 of 1092
+--S 1032 of 1092
 --d0:=D(m0,x)
---E  1032
+--E 1032
 
 )clear all
 
---S  1033 of 1092
+--S 1033 of 1092
 t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x
 --R 
 --R
@@ -23453,9 +23364,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x
 --R   (1)  -----------------------------
 --R                      x
 --R                                                    Type: Expression(Integer)
---E  1033
+--E 1033
 
---S  1034 of 1092
+--S 1034 of 1092
 r0:=-2*c^(3/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
      sqrt(a)+1/4*(3*b^2*c^2+6*a*b*c*d-a^2*d^2)*atanh(sqrt(d)*_
      sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(3/2)*sqrt(d))+_
@@ -23481,23 +23392,23 @@ r0:=-2*c^(3/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
 --R        +-+ +-+
 --R     4b\|b \|d
 --R                                                    Type: Expression(Integer)
---E  1034
+--E 1034
 
---S  1035 of 1092 (non-algebraic residues)
+--S 1035 of 1092 (non-algebraic residues)
 --a0:=integrate(t0,x)
---E  1035
+--E 1035
 
---S  1036 of 1092
+--S 1036 of 1092
 --m0:=a0-r0
---E  1036
+--E 1036
 
---S  1037 of 1092
+--S 1037 of 1092
 --d0:=D(m0,x)
---E  1037
+--E 1037
 
 )clear all
 
---S  1038 of 1092
+--S 1038 of 1092
 t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^2
 --R 
 --R
@@ -23507,9 +23418,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^2
 --R                       2
 --R                      x
 --R                                                    Type: Expression(Integer)
---E  1038
+--E 1038
 
---S  1039 of 1092
+--S 1039 of 1092
 r0:=-(b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
      sqrt(c)/sqrt(a)+(3*b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/_
      (sqrt(b)*sqrt(c+d*x)))*sqrt(d)/sqrt(b)-(c+d*x)^(3/2)*_
@@ -23535,23 +23446,23 @@ r0:=-(b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
 --R       +-+ +-+
 --R     x\|a \|b
 --R                                                    Type: Expression(Integer)
---E  1039
+--E 1039
 
---S  1040 of 1092 (non-algebraic residues)
+--S 1040 of 1092 (non-algebraic residues)
 --a0:=integrate(t0,x)
---E  1040
+--E 1040
 
---S  1041 of 1092
+--S 1041 of 1092
 --m0:=a0-r0
---E  1041
+--E 1041
 
---S  1042 of 1092
+--S 1042 of 1092
 --d0:=D(m0,x)
---E  1042
+--E 1042
 
 )clear all
 
---S  1043 of 1092
+--S 1043 of 1092
 t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^3
 --R 
 --R
@@ -23561,9 +23472,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^3
 --R                       3
 --R                      x
 --R                                                    Type: Expression(Integer)
---E  1043
+--E 1043
 
---S  1044 of 1092
+--S 1044 of 1092
 r0:=2*d^(3/2)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*sqrt(b)+_
      1/4*(b^2*c^2-6*a*b*c*d-3*a^2*d^2)*atanh(sqrt(c)*_
      sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(3/2)*sqrt(c))-_
@@ -23590,23 +23501,23 @@ r0:=2*d^(3/2)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*sqrt(b)+_
 --R         2 +-+ +-+
 --R     4a x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  1044
+--E 1044
 
---S  1045 of 1092 (non-algebraic residues)
+--S 1045 of 1092 (non-algebraic residues)
 --a0:=integrate(t0,x)
---E  1045
+--E 1045
 
---S  1046 of 1092
+--S 1046 of 1092
 --m0:=a0-r0
---E  1046
+--E 1046
 
---S  1047 of 1092
+--S 1047 of 1092
 --d0:=D(m0,x)
---E  1047
+--E 1047
 
 )clear all
 
---S  1048 of 1092
+--S 1048 of 1092
 t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^4
 --R 
 --R
@@ -23616,9 +23527,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^4
 --R                       4
 --R                      x
 --R                                                    Type: Expression(Integer)
---E  1048
+--E 1048
 
---S  1049 of 1092
+--S 1049 of 1092
 r0:=-1/8*(b*c-a*d)^3*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
      (a^(5/2)*c^(3/2))-1/12*(b*c-a*d)*(c+d*x)^(3/2)*sqrt(a+b*x)/(a*c*x^2)-_
      1/3*(c+d*x)^(5/2)*sqrt(a+b*x)/(c*x^3)+1/8*(b*c-a*d)^2*_
@@ -23641,23 +23552,23 @@ r0:=-1/8*(b*c-a*d)^3*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
 --R        2   3 +-+ +-+
 --R     24a c x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  1049
+--E 1049
 
---S  1050 of 1092
+--S 1050 of 1092
 --a0:=integrate(t0,x)
---E  1050
+--E 1050
 
---S  1051 of 1092
+--S 1051 of 1092
 --m0:=a0-r0
---E  1051
+--E 1051
 
---S  1052 of 1092
+--S 1052 of 1092
 --d0:=D(m0,x)
---E  1052
+--E 1052
 
 )clear all
 
---S  1053 of 1092
+--S 1053 of 1092
 t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^5
 --R 
 --R
@@ -23667,9 +23578,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^5
 --R                       5
 --R                      x
 --R                                                    Type: Expression(Integer)
---E  1053
+--E 1053
 
---S  1054 of 1092
+--S 1054 of 1092
 r0:=1/64*(b*c-a*d)^3*(5*b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
      sqrt(c+d*x)))/(a^(7/2)*c^(5/2))-1/4*(c+d*x)^(3/2)*_
      sqrt(a+b*x)/x^4-1/24*(b*c+3*a*d)*sqrt(a+b*x)*sqrt(c+d*x)/(a*x^3)+_
@@ -23700,23 +23611,23 @@ r0:=1/64*(b*c-a*d)^3*(5*b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
 --R         3 2 4 +-+ +-+
 --R     192a c x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  1054
+--E 1054
 
---S  1055 of 1092
+--S 1055 of 1092
 --a0:=integrate(t0,x)
---E  1055
+--E 1055
 
---S  1056 of 1092
+--S 1056 of 1092
 --m0:=a0-r0
---E  1056
+--E 1056
 
---S  1057 of 1092
+--S 1057 of 1092
 --d0:=D(m0,x)
---E  1057
+--E 1057
 
 )clear all
 
---S  1058 of 1092
+--S 1058 of 1092
 t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^6
 --R 
 --R
@@ -23726,9 +23637,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^6
 --R                       6
 --R                      x
 --R                                                    Type: Expression(Integer)
---E  1058
+--E 1058
 
---S  1059 of 1092
+--S 1059 of 1092
 r0:=-1/128*(b*c-a*d)^3*(7*b^2*c^2+6*a*b*c*d+3*a^2*d^2)*atanh(sqrt(c)*_
      sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(9/2)*c^(7/2))-_
      1/5*(c+d*x)^(3/2)*sqrt(a+b*x)/x^5-1/40*(b*c+3*a*d)*_
@@ -23768,32 +23679,32 @@ r0:=-1/128*(b*c-a*d)^3*(7*b^2*c^2+6*a*b*c*d+3*a^2*d^2)*atanh(sqrt(c)*_
 --R          4 3 5 +-+ +-+
 --R     1920a c x \|a \|c
 --R                                                    Type: Expression(Integer)
---E  1059
+--E 1059
 
---S  1060 of 1092
+--S 1060 of 1092
 --a0:=integrate(t0,x)
---E  1060
+--E 1060
 
---S  1061 of 1092
+--S 1061 of 1092
 --m0:=a0-r0
---E  1061
+--E 1061
 
---S  1062 of 1092
+--S 1062 of 1092
 --d0:=D(m0,x)
---E  1062
+--E 1062
 
 )clear all
 
---S  1063 of 1092
+--S 1063 of 1092
 t0:=x^2*(c+d*x)^(5/2)*sqrt(a+b*x)
 --R 
 --R
 --R          2 4         3    2 2  +-------+ +-------+
 --R   (1)  (d x  + 2c d x  + c x )\|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  1063
+--E 1063
 
---S  1064 of 1092
+--S 1064 of 1092
 r0:=1/192*(b*c-a*d)*(5*b^2*c^2+14*a*b*c*d+21*a^2*d^2)*(a+b*x)^(3/2)*_
      (c+d*x)^(3/2)/(b^4*d^2)+1/160*(5*b^2*c^2+14*a*b*c*d+21*a^2*d^2)*_
      (a+b*x)^(3/2)*(c+d*x)^(5/2)/(b^3*d^2)-1/60*(5*b*c+9*a*d)*_
@@ -23840,32 +23751,32 @@ r0:=1/192*(b*c-a*d)*(5*b^2*c^2+14*a*b*c*d+21*a^2*d^2)*(a+b*x)^(3/2)*_
 --R          5 3 +-+ +-+
 --R     7680b d \|b \|d
 --R                                                    Type: Expression(Integer)
---E  1064
+--E 1064
 
---S  1065 of 1092
+--S 1065 of 1092
 --a0:=integrate(t0,x)
---E  1065
+--E 1065
 
---S  1066 of 1092
+--S 1066 of 1092
 --m0:=a0-r0
---E  1066
+--E 1066
 
---S  1067 of 1092
+--S 1067 of 1092
 --d0:=D(m0,x)
---E  1067
+--E 1067
 
 )clear all
 
---S  1068 of 1092
+--S 1068 of 1092
 t0:=x*(c+d*x)^(5/2)*sqrt(a+b*x)
 --R 
 --R
 --R          2 3         2    2   +-------+ +-------+
 --R   (1)  (d x  + 2c d x  + c x)\|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  1068
+--E 1068
 
---S  1069 of 1092
+--S 1069 of 1092
 r0:=-1/48*(b*c-a*d)*(3*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^3*d)-_
      1/40*(3*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b^2*d)+_
      1/5*(a+b*x)^(3/2)*(c+d*x)^(7/2)/(b*d)+1/128*(b*c-a*d)^4*_
@@ -23906,32 +23817,32 @@ r0:=-1/48*(b*c-a*d)*(3*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^3*d)-_
 --R          4 2 +-+ +-+
 --R     1920b d \|b \|d
 --R                                                    Type: Expression(Integer)
---E  1069
+--E 1069
 
---S  1070 of 1092
+--S 1070 of 1092
 --a0:=integrate(t0,x)
---E  1070
+--E 1070
 
---S  1071 of 1092
+--S 1071 of 1092
 --m0:=a0-r0
---E  1071
+--E 1071
 
---S  1072 of 1092
+--S 1072 of 1092
 --d0:=D(m0,x)
---E  1072
+--E 1072
 
 )clear all
 
---S  1073 of 1092
+--S 1073 of 1092
 t0:=(c+d*x)^(5/2)*sqrt(a+b*x)
 --R 
 --R
 --R          2 2             2  +-------+ +-------+
 --R   (1)  (d x  + 2c d x + c )\|b x + a \|d x + c
 --R                                                    Type: Expression(Integer)
---E  1073
+--E 1073
 
---S  1074 of 1092
+--S 1074 of 1092
 r0:=5/24*(b*c-a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b^2+1/4*(a+b*x)^(3/2)*_
      (c+d*x)^(5/2)/b-5/64*(b*c-a*d)^4*atanh(sqrt(d)*sqrt(a+b*x)/_
      (sqrt(b)*sqrt(c+d*x)))/(b^(7/2)*d^(3/2))+5/32*(b*c-a*d)^2*_
@@ -23964,23 +23875,23 @@ r0:=5/24*(b*c-a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b^2+1/4*(a+b*x)^(3/2)*_
 --R         3  +-+ +-+
 --R     192b d\|b \|d
 --R                                                    Type: Expression(Integer)
---E  1074
+--E 1074
 
---S  1075 of 1092
+--S 1075 of 1092
 --a0:=integrate(t0,x)
---E  1075
+--E 1075
 
---S  1076 of 1092
+--S 1076 of 1092
 --m0:=a0-r0
---E  1076
+--E 1076
 
---S  1077 of 1092
+--S 1077 of 1092
 --d0:=D(m0,x)
---E  1077
+--E 1077
 
 )clear all
 
---S  1078 of 1092
+--S 1078 of 1092
 t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x
 --R 
 --R
@@ -23989,9 +23900,9 @@ t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x
 --R   (1)  ----------------------------------------
 --R                            x
 --R                                                    Type: Expression(Integer)
---E  1078
+--E 1078
 
---S  1079 of 1092
+--S 1079 of 1092
 r0:=-2*c^(5/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)+_
      1/8*(5*b^3*c^3+15*a*b^2*c^2*d-5*a^2*b*c*d^2+a^3*d^3)*_
      atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(5/2)*sqrt(d))+_
@@ -24021,23 +23932,23 @@ r0:=-2*c^(5/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)+_
 --R        2 +-+ +-+
 --R     24b \|b \|d
 --R                                                    Type: Expression(Integer)
---E  1079
+--E 1079
 
---S  1080 of 1092 (non-algebraic residues)
+--S 1080 of 1092 (non-algebraic residues)
 --a0:=integrate(t0,x)
---E  1080
+--E 1080
 
---S  1081 of 1092
+--S 1081 of 1092
 --m0:=a0-r0
---E  1081
+--E 1081
 
---S  1082 of 1092
+--S 1082 of 1092
 --d0:=D(m0,x)
---E  1082
+--E 1082
 
 )clear all
 
---S  1083 of 1092
+--S 1083 of 1092
 t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^2
 --R 
 --R
@@ -24047,9 +23958,9 @@ t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^2
 --R                            2
 --R                           x
 --R                                                    Type: Expression(Integer)
---E  1083
+--E 1083
 
---S  1084 of 1092
+--S 1084 of 1092
 r0:=-c^(3/2)*(b*c+5*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
      sqrt(a)+1/4*(15*b^2*c^2+10*a*b*c*d-a^2*d^2)*atanh(sqrt(d)*_
      sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*sqrt(d)/b^(3/2)+3/2*d*_
@@ -24076,23 +23987,23 @@ r0:=-c^(3/2)*(b*c+5*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
 --R          +-+ +-+
 --R     4b x\|a \|b
 --R                                                    Type: Expression(Integer)
---E  1084
+--E 1084
 
---S  1085 of 1092 (non-algebraic residues)
+--S 1085 of 1092 (non-algebraic residues)
 --a0:=integrate(t0,x)
---E  1085
+--E 1085
 
---S  1086 of 1092
+--S 1086 of 1092
 --m0:=a0-r0
---E  1086
+--E 1086
 
---S  1087 of 1092
+--S 1087 of 1092
 --d0:=D(m0,x)
---E  1087
+--E 1087
 
 )clear all
  
---S  1088 of 1092
+--S 1088 of 1092
 t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^3
 --R 
 --R
@@ -24102,9 +24013,9 @@ t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^3
 --R                            3
 --R                           x
 --R                                                    Type: Expression(Integer)
---E  1088
+--E 1088
 
---S  1089 of 1092
+--S 1089 of 1092
 r0:=d^(3/2)*(5*b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
      sqrt(b)+1/4*(b^2*c^2-10*a*b*c*d-15*a^2*d^2)*atanh(sqrt(c)*_
      sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(c)/a^(3/2)-_
@@ -24132,17 +24043,17 @@ r0:=d^(3/2)*(5*b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
 --R         2 +-+ +-+
 --R     4a x \|a \|b
 --R                                                    Type: Expression(Integer)
---E  1089
+--E 1089
 
---S  1090 of 1092  (non-algebraic residues)
+--S 1090 of 1092  (non-algebraic residues)
 --a0:=integrate(t0,x)
---E  1090
+--E 1090
 
---S  1091 of 1092
+--S 1091 of 1092
 --m0:=a0-r0
---E  1091
+--E 1091
 
---S  1092 of 1092
+--S 1092 of 1092
 --d0:=D(m0,x)
 --E 1092
 
diff --git a/src/axiom-website/CATS/rich3a.input.pdf b/src/axiom-website/CATS/rich3a.input.pdf
index 4bb733e..9e0e1fb 100644
Binary files a/src/axiom-website/CATS/rich3a.input.pdf and b/src/axiom-website/CATS/rich3a.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3c.input.pamphlet b/src/axiom-website/CATS/rich3c.input.pamphlet
index 88bdf31..e55f406 100644
--- a/src/axiom-website/CATS/rich3c.input.pamphlet
+++ b/src/axiom-website/CATS/rich3c.input.pamphlet
@@ -4200,7 +4200,7 @@ r0:=sqrt(-1+x)*sqrt(1+x)
 --R                                                    Type: Expression(Integer)
 --E  267
 
---S 268 of 500
+--S 268 of 500 ok to fail, differs by a constant
 a0:=integrate(t0,x)
 --R 
 --R
@@ -4209,7 +4209,7 @@ a0:=integrate(t0,x)
 --R                                         Type: Union(Expression(Integer),...)
 --E  268
 
---S 269 of 500
+--S 269 of 500 ok to fail, differs by a constant
 m0:=a0-r0
 --R 
 --R
diff --git a/src/axiom-website/CATS/rich3c.input.pdf b/src/axiom-website/CATS/rich3c.input.pdf
index 5182c84..8f08e4b 100644
Binary files a/src/axiom-website/CATS/rich3c.input.pdf and b/src/axiom-website/CATS/rich3c.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3d.input.pamphlet b/src/axiom-website/CATS/rich3d.input.pamphlet
new file mode 100644
index 0000000..12ebaa2
--- /dev/null
+++ b/src/axiom-website/CATS/rich3d.input.pamphlet
@@ -0,0 +1,5940 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3d.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 100 integrals in this file.
+\item 100 supplied "optimal results".
+\item 95 matching answers.
+\item 0 cases where Axiom supplied 2 results.
+\item 0 cases that Axiom failed to integrate.
+\item 5 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3d.output
+)spool rich3d.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(1-%i*x)^(1/6*%i)/((1+%i*x)^(1/6*%i)*x^2)
+--R 
+--R
+--R                    %i
+--R                    --
+--R                     6
+--R        (- %i x + 1)
+--R   (1)  --------------
+--R                    %i
+--R                    --
+--R         2           6
+--R        x (%i x + 1)
+--R                                           Type: Expression(Complex(Integer))
+--E 1
+
+--S 2 of 500
+--r0:=(-3/37-18/37*%i)*2^(1-1/6*%i)*(1-%i*x)^(1+1/6*%i)*(%i*x)^(-1-1/6*%i)*_
+--     hypergeometric(1/6*%i,1+1/6*%i,2+1/6*%i,1/2*%i*(2-2*%i*x+%i*(%i+x))/x)
+--E 2
+
+--S 3 of 500
+--a0:=integrate(t0,x)
+--E 3
+
+--S 4 of 500
+--m0:=a0-r0
+--E 4
+
+--S 5 of 500
+--d0:=D(m0,x)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(1-%i*x)^(1/6*%i)/((1+%i*x)^(1/6*%i)*x^3)
+--R 
+--R
+--R                    %i
+--R                    --
+--R                     6
+--R        (- %i x + 1)
+--R   (1)  --------------
+--R                    %i
+--R                    --
+--R         3           6
+--R        x (%i x + 1)
+--R                                           Type: Expression(Complex(Integer))
+--E 6
+
+--S 7 of 500
+--r0:=(2/37-1/111*%i)*2^(-1-1/6*%i)*(1-%i*x)^(1+1/6*%i)*(3-18*%i+_
+--     37*x+(3+19*%i)*x^2-2*%i*x^2*_
+--     hypergeometric(1,1+1/6*%i,2+1/6*%i,(%i+x)/(%i-x)))/_
+--     ((%i-x)*x^2*(1+1/2*%i*(%i+x))^(1/6*%i))
+--E 7
+
+--S 8 of 500
+--a0:=integrate(t0,x)
+--E 8
+
+--S 9 of 500
+--m0:=a0-r0
+--E 9
+
+--S 10 of 500
+--d0:=D(m0,x)
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(1-2*x)*(2+3*x)^m*(3+5*x)
+--R 
+--R
+--R              2                 m
+--R   (1)  (- 10x  - x + 3)(3x + 2)
+--R                                                    Type: Expression(Integer)
+--E 11
+
+--S 12 of 500
+r0:=-7/27*(2+3*x)^(1+m)/(1+m)+37/27*(2+3*x)^(2+m)/(2+m)-_
+     10/27*(2+3*x)^(3+m)/(3+m)
+--R 
+--R
+--R   (2)
+--R             2                    m + 3       2                      m + 2
+--R       (- 10m  - 30m - 20)(3x + 2)      + (37m  + 148m + 111)(3x + 2)
+--R     + 
+--R            2                    m + 1
+--R       (- 7m  - 35m - 42)(3x + 2)
+--R  /
+--R        3       2
+--R     27m  + 162m  + 297m + 162
+--R                                                    Type: Expression(Integer)
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2               3          2              2
+--R         (- 270m  - 810m - 540)x  + (- 207m  - 288m - 81)x
+--R       + 
+--R             2                     2
+--R         (63m  + 591m + 486)x + 54m  + 282m + 200
+--R    *
+--R         m log(3x + 2)
+--R       %e
+--R  /
+--R        3       2
+--R     27m  + 162m  + 297m + 162
+--R                                         Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)
+--R                  2               3          2              2
+--R           (- 270m  - 810m - 540)x  + (- 207m  - 288m - 81)x
+--R         + 
+--R               2                     2
+--R           (63m  + 591m + 486)x + 54m  + 282m + 200
+--R      *
+--R           m log(3x + 2)
+--R         %e
+--R     + 
+--R           2                    m + 3         2                      m + 2
+--R       (10m  + 30m + 20)(3x + 2)      + (- 37m  - 148m - 111)(3x + 2)
+--R     + 
+--R          2                    m + 1
+--R       (7m  + 35m + 42)(3x + 2)
+--R  /
+--R        3       2
+--R     27m  + 162m  + 297m + 162
+--R                                                    Type: Expression(Integer)
+--E 14
+
+--S 15 of 500
+d0:=normalize m0
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(1-2*x)*(2+3*x)^8*(3+5*x)
+--R 
+--R
+--R   (1)
+--R             10          9          8           7          6          5
+--R     - 65610x   - 356481x  - 831789x  - 1065312x  - 771120x  - 247968x
+--R   + 
+--R           4         3         2
+--R     62496x  + 98304x  + 42752x  + 8960x + 768
+--R                                                    Type: Polynomial(Integer)
+--E 16
+
+--S 17 of 500
+r0:=-7/243*(2+3*x)^9+37/270*(2+3*x)^10-10/297*(2+3*x)^11
+--R 
+--R
+--R   (2)
+--R       65610  11   356481  10         9          8          7         6
+--R     - ----- x   - ------ x   - 92421x  - 133164x  - 110160x  - 41328x
+--R         11          10
+--R   + 
+--R     62496  5         4   42752  3        2          756736
+--R     ----- x  + 24576x  + ----- x  + 4480x  + 768x + ------
+--R       5                    3                         13365
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       65610  11   356481  10         9          8          7         6
+--R     - ----- x   - ------ x   - 92421x  - 133164x  - 110160x  - 41328x
+--R         11          10
+--R   + 
+--R     62496  5         4   42752  3        2
+--R     ----- x  + 24576x  + ----- x  + 4480x  + 768x
+--R       5                    3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R 
+--R
+--R          756736
+--R   (4)  - ------
+--R           13365
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(1-2*x)*(2+3*x)^7*(3+5*x)
+--R 
+--R
+--R   (1)
+--R             9          8          7          6          5        4         3
+--R     - 21870x  - 104247x  - 207765x  - 216594x  - 112644x  - 7560x  + 25872x
+--R   + 
+--R           2
+--R     15520x  + 3904x + 384
+--R                                                    Type: Polynomial(Integer)
+--E 21
+
+--S 22 of 500
+r0:=-7/216*(2+3*x)^8+37/243*(2+3*x)^9-1/27*(2+3*x)^10
+--R 
+--R
+--R   (2)
+--R            10         9   207765  8         7         6        5        4
+--R     - 2187x   - 11583x  - ------ x  - 30942x  - 18774x  - 1512x  + 6468x
+--R                              8
+--R   + 
+--R     15520  3        2          7712
+--R     ----- x  + 1952x  + 384x + ----
+--R       3                         243
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            10         9   207765  8         7         6        5        4
+--R     - 2187x   - 11583x  - ------ x  - 30942x  - 18774x  - 1512x  + 6468x
+--R                              8
+--R   + 
+--R     15520  3        2
+--R     ----- x  + 1952x  + 384x
+--R       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R 
+--R
+--R          7712
+--R   (4)  - ----
+--R           243
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(1-2*x)*(2+3*x)^6*(3+5*x)
+--R 
+--R
+--R   (1)
+--R            8         7         6         5         4        3        2
+--R     - 7290x  - 29889x  - 49329x  - 39312x  - 11340x  + 5040x  + 5264x  + 1664x
+--R   + 
+--R     192
+--R                                                    Type: Polynomial(Integer)
+--E 26
+
+--S 27 of 500
+r0:=-1/27*(2+3*x)^7+37/216*(2+3*x)^8-10/243*(2+3*x)^9
+--R 
+--R
+--R   (2)
+--R           9   29889  8        7        6        5        4   5264  3       2
+--R     - 810x  - ----- x  - 7047x  - 6552x  - 2268x  + 1260x  + ---- x  + 832x
+--R                 8                                              3
+--R   + 
+--R            4384
+--R     192x + ----
+--R             243
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           9   29889  8        7        6        5        4   5264  3       2
+--R     - 810x  - ----- x  - 7047x  - 6552x  - 2268x  + 1260x  + ---- x  + 832x
+--R                 8                                              3
+--R   + 
+--R     192x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R 
+--R
+--R          4384
+--R   (4)  - ----
+--R           243
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(1-2*x)*(2+3*x)^5*(3+5*x)
+--R 
+--R
+--R               7        6         5        4       3        2
+--R   (1)  - 2430x  - 8343x  - 10881x  - 5850x  + 120x  + 1600x  + 688x + 96
+--R                                                    Type: Polynomial(Integer)
+--E 31
+
+--S 32 of 500
+r0:=96*x+344*x^2+1600/3*x^3+30*x^4-1170*x^5-3627/2*x^6-8343/7*x^7-1215/4*x^8
+--R 
+--R
+--R          1215  8   8343  7   3627  6        5      4   1600  3       2
+--R   (2)  - ---- x  - ---- x  - ---- x  - 1170x  + 30x  + ---- x  + 344x  + 96x
+--R            4         7         2                         3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          1215  8   8343  7   3627  6        5      4   1600  3       2
+--R   (3)  - ---- x  - ---- x  - ---- x  - 1170x  + 30x  + ---- x  + 344x  + 96x
+--R            4         7         2                         3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(1-2*x)*(2+3*x)^4*(3+5*x)
+--R 
+--R
+--R              6        5        4       3       2
+--R   (1)  - 810x  - 2241x  - 2133x  - 528x  + 392x  + 272x + 48
+--R                                                    Type: Polynomial(Integer)
+--E 36
+
+--S 37 of 500
+r0:=48*x+136*x^2+392/3*x^3-132*x^4-2133/5*x^5-747/2*x^6-810/7*x^7
+--R 
+--R
+--R          810  7   747  6   2133  5       4   392  3       2
+--R   (2)  - --- x  - --- x  - ---- x  - 132x  + --- x  + 136x  + 48x
+--R           7        2         5                3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          810  7   747  6   2133  5       4   392  3       2
+--R   (3)  - --- x  - --- x  - ---- x  - 132x  + --- x  + 136x  + 48x
+--R           7        2         5                3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(1-2*x)*(2+3*x)^3*(3+5*x)
+--R 
+--R
+--R              5       4       3      2
+--R   (1)  - 270x  - 567x  - 333x  + 46x  + 100x + 24
+--R                                                    Type: Polynomial(Integer)
+--E 41
+
+--S 42 of 500
+r0:=24*x+50*x^2+46/3*x^3-333/4*x^4-567/5*x^5-45*x^6
+--R 
+--R
+--R             6   567  5   333  4   46  3      2
+--R   (2)  - 45x  - --- x  - --- x  + -- x  + 50x  + 24x
+--R                  5        4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R             6   567  5   333  4   46  3      2
+--R   (3)  - 45x  - --- x  - --- x  + -- x  + 50x  + 24x
+--R                  5        4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(1-2*x)*(2+3*x)^2*(3+5*x)
+--R 
+--R
+--R             4       3      2
+--R   (1)  - 90x  - 129x  - 25x  + 32x + 12
+--R                                                    Type: Polynomial(Integer)
+--E 46
+
+--S 47 of 500
+r0:=12*x+16*x^2-25/3*x^3-129/4*x^4-18*x^5
+--R 
+--R
+--R             5   129  4   25  3      2
+--R   (2)  - 18x  - --- x  - -- x  + 16x  + 12x
+--R                  4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R             5   129  4   25  3      2
+--R   (3)  - 18x  - --- x  - -- x  + 16x  + 12x
+--R                  4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(1-2*x)*(2+3*x)*(3+5*x)
+--R 
+--R
+--R             3      2
+--R   (1)  - 30x  - 23x  + 7x + 6
+--R                                                    Type: Polynomial(Integer)
+--E 51
+
+--S 52 of 500
+r0:=6*x+7/2*x^2-23/3*x^3-15/2*x^4
+--R 
+--R
+--R          15  4   23  3   7  2
+--R   (2)  - -- x  - -- x  + - x  + 6x
+--R           2       3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          15  4   23  3   7  2
+--R   (3)  - -- x  - -- x  + - x  + 6x
+--R           2       3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(1-2*x)*(3+5*x)
+--R 
+--R
+--R             2
+--R   (1)  - 10x  - x + 3
+--R                                                    Type: Polynomial(Integer)
+--E 56
+
+--S 57 of 500
+r0:=3*x-1/2*x^2-10/3*x^3
+--R 
+--R
+--R          10  3   1  2
+--R   (2)  - -- x  - - x  + 3x
+--R           3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          10  3   1  2
+--R   (3)  - -- x  - - x  + 3x
+--R           3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)
+--R 
+--R
+--R             2
+--R        - 10x  - x + 3
+--R   (1)  --------------
+--R            3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=17/9*x-5/3*x^2-7/27*log(2+3*x)
+--R 
+--R
+--R                            2
+--R        - 7log(3x + 2) - 45x  + 51x
+--R   (2)  ---------------------------
+--R                     27
+--R                                                    Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                            2
+--R        - 7log(3x + 2) - 45x  + 51x
+--R   (3)  ---------------------------
+--R                     27
+--R                                         Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^2
+--R 
+--R
+--R             2
+--R        - 10x  - x + 3
+--R   (1)  --------------
+--R           2
+--R         9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=-10/9*x+7/27/(2+3*x)+37/27*log(2+3*x)
+--R 
+--R
+--R                                    2
+--R        (111x + 74)log(3x + 2) - 90x  - 60x + 7
+--R   (2)  ---------------------------------------
+--R                        81x + 54
+--R                                                    Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                    2
+--R        (111x + 74)log(3x + 2) - 90x  - 60x + 7
+--R   (3)  ---------------------------------------
+--R                        81x + 54
+--R                                         Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^3
+--R 
+--R
+--R                 2
+--R            - 10x  - x + 3
+--R   (1)  ---------------------
+--R           3      2
+--R        27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=7/54/(2+3*x)^2+(-37/27)/(2+3*x)-10/27*log(2+3*x)
+--R 
+--R
+--R               2
+--R        (- 180x  - 240x - 80)log(3x + 2) - 222x - 141
+--R   (2)  ---------------------------------------------
+--R                          2
+--R                      486x  + 648x + 216
+--R                                                    Type: Expression(Integer)
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R               2
+--R        (- 180x  - 240x - 80)log(3x + 2) - 222x - 141
+--R   (3)  ---------------------------------------------
+--R                          2
+--R                      486x  + 648x + 216
+--R                                         Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^4
+--R 
+--R
+--R                      2
+--R                 - 10x  - x + 3
+--R   (1)  -------------------------------
+--R           4       3       2
+--R        81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=7/81/(2+3*x)^3+(-37/54)/(2+3*x)^2+10/27/(2+3*x)
+--R 
+--R
+--R        10  2    43      16
+--R        -- x  + --- x + ----
+--R        81      486     2187
+--R   (2)  --------------------
+--R          3     2   4      8
+--R         x  + 2x  + - x + --
+--R                    3     27
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                   2
+--R               540x  + 387x + 32
+--R   (3)  ------------------------------
+--R             3        2
+--R        4374x  + 8748x  + 5832x + 1296
+--R                                         Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^5
+--R 
+--R
+--R                           2
+--R                      - 10x  - x + 3
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=7/108/(2+3*x)^4+(-37/81)/(2+3*x)^3+5/27/(2+3*x)^2
+--R 
+--R
+--R            5   2    23        35
+--R           --- x  + ---- x - -----
+--R           243      2187     26244
+--R   (2)  ----------------------------
+--R         4   8  3   8  2   32     16
+--R        x  + - x  + - x  + -- x + --
+--R             3      3      27     81
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                         2
+--R                     540x  + 276x - 35
+--R   (3)  -------------------------------------------
+--R              4         3         2
+--R        26244x  + 69984x  + 69984x  + 31104x + 5184
+--R                                         Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^6
+--R 
+--R
+--R                                 2
+--R                            - 10x  - x + 3
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 86
+
+--S 87 of 500
+r0:=7/135/(2+3*x)^5+(-37/108)/(2+3*x)^4+10/81/(2+3*x)^3
+--R 
+--R
+--R                10   2     49        113
+--R               ---- x  + ----- x - ------
+--R               2187      26244     196830
+--R   (2)  ---------------------------------------
+--R         5   10  4   40  3   80  2   80      32
+--R        x  + -- x  + -- x  + -- x  + -- x + ---
+--R              3       9      27      81     243
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 87
+
+--S 88 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                   2
+--R                              1800x  + 735x - 226
+--R   (3)  --------------------------------------------------------------
+--R               5           4           3           2
+--R        393660x  + 1312200x  + 1749600x  + 1166400x  + 388800x + 51840
+--R                                         Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 89
+
+--S 90 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(1-2*x)*(2+3*x)^m*(3+5*x)^2
+--R 
+--R
+--R              3      2                   m
+--R   (1)  (- 50x  - 35x  + 12x + 9)(3x + 2)
+--R                                                    Type: Expression(Integer)
+--E 91
+
+--S 92 of 500
+r0:=7/81*(2+3*x)^(1+m)/(1+m)-8/9*(2+3*x)^(2+m)/(2+m)+_
+     65/27*(2+3*x)^(3+m)/(3+m)-50/81*(2+3*x)^(4+m)/(4+m)
+--R 
+--R
+--R   (2)
+--R             3       2                      m + 4
+--R       (- 50m  - 300m  - 550m - 300)(3x + 2)
+--R     + 
+--R            3        2                        m + 3
+--R       (195m  + 1365m  + 2730m + 1560)(3x + 2)
+--R     + 
+--R             3       2                       m + 2
+--R       (- 72m  - 576m  - 1368m - 864)(3x + 2)
+--R     + 
+--R          3      2                      m + 1
+--R       (7m  + 63m  + 182m + 168)(3x + 2)
+--R  /
+--R        4       3        2
+--R     81m  + 810m  + 2835m  + 4050m + 1944
+--R                                                    Type: Expression(Integer)
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 3        2                  4
+--R         (- 1350m  - 8100m  - 14850m - 8100)x
+--R       + 
+--R                 3        2                  3
+--R         (- 1845m  - 9315m  - 15030m - 7560)x
+--R       + 
+--R                3        2                 2        3        2
+--R         (- 306m  + 1242m  + 5436m + 3888)x  + (459m  + 4539m  + 9870m + 5832)x
+--R       + 
+--R             3        2
+--R         162m  + 1314m  + 2644m + 1520
+--R    *
+--R         m log(3x + 2)
+--R       %e
+--R  /
+--R        4       3       2
+--R     27m  + 270m  + 945m  + 1350m + 648
+--R                                         Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)
+--R                   3         2                   4
+--R           (- 4050m  - 24300m  - 44550m - 24300)x
+--R         + 
+--R                   3         2                   3
+--R           (- 5535m  - 27945m  - 45090m - 22680)x
+--R         + 
+--R                  3        2                   2
+--R           (- 918m  + 3726m  + 16308m + 11664)x
+--R         + 
+--R                 3         2                          3        2
+--R           (1377m  + 13617m  + 29610m + 17496)x + 486m  + 3942m  + 7932m + 4560
+--R      *
+--R           m log(3x + 2)
+--R         %e
+--R     + 
+--R           3       2                      m + 4
+--R       (50m  + 300m  + 550m + 300)(3x + 2)
+--R     + 
+--R              3        2                        m + 3
+--R       (- 195m  - 1365m  - 2730m - 1560)(3x + 2)
+--R     + 
+--R           3       2                       m + 2
+--R       (72m  + 576m  + 1368m + 864)(3x + 2)
+--R     + 
+--R            3      2                      m + 1
+--R       (- 7m  - 63m  - 182m - 168)(3x + 2)
+--R  /
+--R        4       3        2
+--R     81m  + 810m  + 2835m  + 4050m + 1944
+--R                                                    Type: Expression(Integer)
+--E 94
+
+--S 95 of 500
+d0:=normalize m0
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(1-2*x)*(2+3*x)^8*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R              11           10           9           8           7           6
+--R     - 328050x   - 1979235x   - 5228388x  - 7821927x  - 7051536x  - 3553200x
+--R   + 
+--R              5          4          3          2
+--R     - 431424x  + 679008x  + 508672x  + 173056x  + 30720x + 2304
+--R                                                    Type: Polynomial(Integer)
+--E 96
+
+--S 97 of 500
+r0:=7/729*(2+3*x)^9-4/45*(2+3*x)^10+65/297*(2+3*x)^11-25/486*(2+3*x)^12
+--R 
+--R
+--R   (2)
+--R       54675  12   1979235  11   2614194  10          9          8          7
+--R     - ----- x   - ------- x   - ------- x   - 869103x  - 881442x  - 507600x
+--R         2            11            5
+--R   + 
+--R             6   679008  5          4   173056  3         2           6070784
+--R     - 71904x  + ------ x  + 127168x  + ------ x  + 15360x  + 2304x + -------
+--R                    5                      3                           40095
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       54675  12   1979235  11   2614194  10          9          8          7
+--R     - ----- x   - ------- x   - ------- x   - 869103x  - 881442x  - 507600x
+--R         2            11            5
+--R   + 
+--R             6   679008  5          4   173056  3         2
+--R     - 71904x  + ------ x  + 127168x  + ------ x  + 15360x  + 2304x
+--R                    5                      3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R 
+--R
+--R          6070784
+--R   (4)  - -------
+--R           40095
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(1-2*x)*(2+3*x)^7*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R              10          9           8           7           6          5
+--R     - 109350x   - 586845x  - 1351566x  - 1706265x  - 1213002x  - 375732x
+--R   + 
+--R            4          3         2
+--R     106680x  + 155216x  + 66080x  + 13632x + 1152
+--R                                                    Type: Polynomial(Integer)
+--E 101
+
+--S 102 of 500
+r0:=7/648*(2+3*x)^8-8/81*(2+3*x)^9+13/54*(2+3*x)^10-50/891*(2+3*x)^11
+--R 
+--R
+--R   (2)
+--R       109350  11   117369  10          9   1706265  8          7         6
+--R     - ------ x   - ------ x   - 150174x  - ------- x  - 173286x  - 62622x
+--R         11            2                       8
+--R   + 
+--R           5         4   66080  3        2           74656
+--R     21336x  + 38804x  + ----- x  + 6816x  + 1152x + -----
+--R                           3                          891
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       109350  11   117369  10          9   1706265  8          7         6
+--R     - ------ x   - ------ x   - 150174x  - ------- x  - 173286x  - 62622x
+--R         11            2                       8
+--R   + 
+--R           5         4   66080  3        2
+--R     21336x  + 38804x  + ----- x  + 6816x  + 1152x
+--R                           3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R 
+--R
+--R          74656
+--R   (4)  - -----
+--R           891
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(1-2*x)*(2+3*x)^6*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R             9          8          7          6          5        4         3
+--R     - 36450x  - 171315x  - 336312x  - 344547x  - 174636x  - 8820x  + 41440x
+--R   + 
+--R           2
+--R     24112x  + 5952x + 576
+--R                                                    Type: Polynomial(Integer)
+--E 106
+
+--S 107 of 500
+r0:=576*x+2976*x^2+24112/3*x^3+10360*x^4-1764*x^5-29106*x^6-_
+     49221*x^7-42039*x^8-19035*x^9-3645*x^10
+--R 
+--R
+--R   (2)
+--R            10         9         8         7         6        5         4
+--R     - 3645x   - 19035x  - 42039x  - 49221x  - 29106x  - 1764x  + 10360x
+--R   + 
+--R     24112  3        2
+--R     ----- x  + 2976x  + 576x
+--R       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            10         9         8         7         6        5         4
+--R     - 3645x   - 19035x  - 42039x  - 49221x  - 29106x  - 1764x  + 10360x
+--R   + 
+--R     24112  3        2
+--R     ----- x  + 2976x  + 576x
+--R       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(1-2*x)*(2+3*x)^5*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R             8         7         6         5         4        3        2
+--R     - 12150x  - 49005x  - 79434x  - 61893x  - 16950x  + 8360x  + 8240x  + 2544x
+--R   + 
+--R     288
+--R                                                    Type: Polynomial(Integer)
+--E 111
+
+--S 112 of 500
+r0:=288*x+1272*x^2+8240/3*x^3+2090*x^4-3390*x^5-20631/2*x^6-79434/7*x^7-_
+     49005/8*x^8-1350*x^9
+--R 
+--R
+--R   (2)
+--R            9   49005  8   79434  7   20631  6        5        4   8240  3
+--R     - 1350x  - ----- x  - ----- x  - ----- x  - 3390x  + 2090x  + ---- x
+--R                  8          7          2                            3
+--R   + 
+--R          2
+--R     1272x  + 288x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            9   49005  8   79434  7   20631  6        5        4   8240  3
+--R     - 1350x  - ----- x  - ----- x  - ----- x  - 3390x  + 2090x  + ---- x
+--R                  8          7          2                            3
+--R   + 
+--R          2
+--R     1272x  + 288x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(1-2*x)*(2+3*x)^4*(3+5*x)^2
+--R 
+--R
+--R               7         6         5        4       3        2
+--R   (1)  - 4050x  - 13635x  - 17388x  - 9039x  + 376x  + 2536x  + 1056x + 144
+--R                                                    Type: Polynomial(Integer)
+--E 116
+
+--S 117 of 500
+r0:=144*x+528*x^2+2536/3*x^3+94*x^4-9039/5*x^5-2898*x^6-13635/7*x^7-2025/4*x^8
+--R 
+--R
+--R   (2)
+--R     2025  8   13635  7        6   9039  5      4   2536  3       2
+--R   - ---- x  - ----- x  - 2898x  - ---- x  + 94x  + ---- x  + 528x  + 144x
+--R       4         7                   5                3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     2025  8   13635  7        6   9039  5      4   2536  3       2
+--R   - ---- x  - ----- x  - 2898x  - ---- x  + 94x  + ---- x  + 528x  + 144x
+--R       4         7                   5                3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(1-2*x)*(2+3*x)^3*(3+5*x)^2
+--R 
+--R
+--R               6        5        4       3       2
+--R   (1)  - 1350x  - 3645x  - 3366x  - 769x  + 638x  + 420x + 72
+--R                                                    Type: Polynomial(Integer)
+--E 121
+
+--S 122 of 500
+r0:=72*x+210*x^2+638/3*x^3-769/4*x^4-3366/5*x^5-1215/2*x^6-1350/7*x^7
+--R 
+--R
+--R          1350  7   1215  6   3366  5   769  4   638  3       2
+--R   (2)  - ---- x  - ---- x  - ---- x  - --- x  + --- x  + 210x  + 72x
+--R            7         2         5        4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          1350  7   1215  6   3366  5   769  4   638  3       2
+--R   (3)  - ---- x  - ---- x  - ---- x  - --- x  + --- x  + 210x  + 72x
+--R            7         2         5        4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(1-2*x)*(2+3*x)^2*(3+5*x)^2
+--R 
+--R
+--R              5       4       3      2
+--R   (1)  - 450x  - 915x  - 512x  + 85x  + 156x + 36
+--R                                                    Type: Polynomial(Integer)
+--E 126
+
+--S 127 of 500
+r0:=36*x+78*x^2+85/3*x^3-128*x^4-183*x^5-75*x^6
+--R 
+--R
+--R             6       5       4   85  3      2
+--R   (2)  - 75x  - 183x  - 128x  + -- x  + 78x  + 36x
+--R                                  3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R             6       5       4   85  3      2
+--R   (3)  - 75x  - 183x  - 128x  + -- x  + 78x  + 36x
+--R                                  3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(1-2*x)*(2+3*x)*(3+5*x)^2
+--R 
+--R
+--R              4       3      2
+--R   (1)  - 150x  - 205x  - 34x  + 51x + 18
+--R                                                    Type: Polynomial(Integer)
+--E 131
+
+--S 132 of 500
+r0:=18*x+51/2*x^2-34/3*x^3-205/4*x^4-30*x^5
+--R 
+--R
+--R             5   205  4   34  3   51  2
+--R   (2)  - 30x  - --- x  - -- x  + -- x  + 18x
+--R                  4        3       2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R             5   205  4   34  3   51  2
+--R   (3)  - 30x  - --- x  - -- x  + -- x  + 18x
+--R                  4        3       2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(1-2*x)*(3+5*x)^2
+--R 
+--R
+--R             3      2
+--R   (1)  - 50x  - 35x  + 12x + 9
+--R                                                    Type: Polynomial(Integer)
+--E 136
+
+--S 137 of 500
+r0:=9*x+6*x^2-35/3*x^3-25/2*x^4
+--R 
+--R
+--R          25  4   35  3     2
+--R   (2)  - -- x  - -- x  + 6x  + 9x
+--R           2       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          25  4   35  3     2
+--R   (3)  - -- x  - -- x  + 6x  + 9x
+--R           2       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)
+--R 
+--R
+--R             3      2
+--R        - 50x  - 35x  + 12x + 9
+--R   (1)  -----------------------
+--R                 3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 141
+
+--S 142 of 500
+r0:=118/27*x-5/18*x^2-50/9*x^3+7/81*log(2+3*x)
+--R 
+--R
+--R                            3      2
+--R        14log(3x + 2) - 900x  - 45x  + 708x
+--R   (2)  -----------------------------------
+--R                        162
+--R                                                    Type: Expression(Integer)
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                            3      2
+--R        14log(3x + 2) - 900x  - 45x  + 708x
+--R   (3)  -----------------------------------
+--R                        162
+--R                                         Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^2
+--R 
+--R
+--R             3      2
+--R        - 50x  - 35x  + 12x + 9
+--R   (1)  -----------------------
+--R               2
+--R             9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=95/27*x-25/9*x^2+(-7/81)/(2+3*x)-8/9*log(2+3*x)
+--R 
+--R
+--R                                        3       2
+--R        (- 216x - 144)log(3x + 2) - 675x  + 405x  + 570x - 7
+--R   (2)  ----------------------------------------------------
+--R                             243x + 162
+--R                                                    Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                        3       2
+--R        (- 216x - 144)log(3x + 2) - 675x  + 405x  + 570x - 7
+--R   (3)  ----------------------------------------------------
+--R                             243x + 162
+--R                                         Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^3
+--R 
+--R
+--R             3      2
+--R        - 50x  - 35x  + 12x + 9
+--R   (1)  -----------------------
+--R            3      2
+--R         27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=-50/27*x+(-7/162)/(2+3*x)^2+8/9/(2+3*x)+65/27*log(2+3*x)
+--R 
+--R
+--R              2                                   3        2
+--R        (3510x  + 4680x + 1560)log(3x + 2) - 2700x  - 3600x  - 768x + 281
+--R   (2)  -----------------------------------------------------------------
+--R                                    2
+--R                               1458x  + 1944x + 648
+--R                                                    Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              2                                   3        2
+--R        (3510x  + 4680x + 1560)log(3x + 2) - 2700x  - 3600x  - 768x + 281
+--R   (3)  -----------------------------------------------------------------
+--R                                    2
+--R                               1458x  + 1944x + 648
+--R                                         Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^4
+--R 
+--R
+--R                 3      2
+--R            - 50x  - 35x  + 12x + 9
+--R   (1)  -------------------------------
+--R           4       3       2
+--R        81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=(-7/243)/(2+3*x)^3+4/9/(2+3*x)^2+(-65/27)/(2+3*x)-50/81*log(2+3*x)
+--R 
+--R
+--R                3        2                                   2
+--R        (- 4050x  - 8100x  - 5400x - 1200)log(3x + 2) - 5265x  - 6696x - 2131
+--R   (2)  ---------------------------------------------------------------------
+--R                                3         2
+--R                           6561x  + 13122x  + 8748x + 1944
+--R                                                    Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                3        2                                   2
+--R        (- 4050x  - 8100x  - 5400x - 1200)log(3x + 2) - 5265x  - 6696x - 2131
+--R   (3)  ---------------------------------------------------------------------
+--R                                3         2
+--R                           6561x  + 13122x  + 8748x + 1944
+--R                                         Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^5
+--R 
+--R
+--R                       3      2
+--R                  - 50x  - 35x  + 12x + 9
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=7/12*(3+5*x)^3/(2+3*x)^4+3/4*(3+5*x)^3/(2+3*x)^3
+--R 
+--R
+--R        125  4   2300  3   515  2   38     25
+--R        --- x  + ---- x  + --- x  + -- x + --
+--R         36       243       54       9     36
+--R   (2)  -------------------------------------
+--R              4   8  3   8  2   32     16
+--R             x  + - x  + - x  + -- x + --
+--R                  3      3      27     81
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                   3       2
+--R               600x  + 810x  + 312x + 25
+--R   (3)  --------------------------------------
+--R             4        3        2
+--R        2916x  + 7776x  + 7776x  + 3456x + 576
+--R                                         Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R 
+--R
+--R          125
+--R   (4)  - ---
+--R           36
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^6
+--R 
+--R
+--R                            3      2
+--R                       - 50x  - 35x  + 12x + 9
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=(-7/405)/(2+3*x)^5+2/9/(2+3*x)^4+(-65/81)/(2+3*x)^3+25/81/(2+3*x)^2
+--R 
+--R
+--R            25  3    85   2    58       127
+--R           --- x  + ---- x  + ---- x - -----
+--R           729      2187      6561     98415
+--R   (2)  ---------------------------------------
+--R         5   10  4   40  3   80  2   80      32
+--R        x  + -- x  + -- x  + -- x  + -- x + ---
+--R              3       9      27      81     243
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                            3        2
+--R                       3375x  + 3825x  + 870x - 127
+--R   (3)  ---------------------------------------------------------
+--R              5          4          3          2
+--R        98415x  + 328050x  + 437400x  + 291600x  + 97200x + 12960
+--R                                         Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^7
+--R 
+--R
+--R                                    3      2
+--R                               - 50x  - 35x  + 12x + 9
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-7/486)/(2+3*x)^6+8/45/(2+3*x)^5+(-65/108)/(2+3*x)^4+50/243/(2+3*x)^3
+--R 
+--R
+--R             50   3    205   2     97        1021
+--R            ---- x  + ----- x  + ----- x - -------
+--R            6561      26244      98415     1771470
+--R   (2)  ----------------------------------------------
+--R         6     5   20  4   160  3   80  2   64      64
+--R        x  + 4x  + -- x  + --- x  + -- x  + -- x + ---
+--R                    3       27      27      81     729
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           3         2
+--R     27000x  + 27675x  + 3492x - 2042
+--R  /
+--R               6            5            4            3            2
+--R       3542940x  + 14171760x  + 23619600x  + 20995200x  + 10497600x  + 2799360x
+--R     + 
+--R       311040
+--R                                         Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R          3      2
+--R     - 50x  - 35x  + 12x + 9
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 176
+
+--S 177 of 500
+r0:=(-1/81)/(2+3*x)^7+4/27/(2+3*x)^6+(-13/27)/(2+3*x)^5+25/162/(2+3*x)^4
+--R 
+--R
+--R                      25   3     4   2     2         11
+--R                    ----- x  + ---- x  + ----- x - -----
+--R                    13122      2187      19683     59049
+--R   (2)  ------------------------------------------------------------
+--R         7   14  6   28  5   280  4   560  3   224  2   448      128
+--R        x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R              3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 177
+
+--S 178 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R         3       2
+--R     225x  + 216x  + 12x - 22
+--R  /
+--R              7          6           5           4          3          2
+--R       118098x  + 551124x  + 1102248x  + 1224720x  + 816480x  + 326592x
+--R     + 
+--R       72576x + 6912
+--R                                         Type: Union(Expression(Integer),...)
+--E 178
+
+--S 179 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 179
+
+--S 180 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(1-2*x)*(2+3*x)^m*(3+5*x)^3
+--R 
+--R
+--R               4       3      2                    m
+--R   (1)  (- 250x  - 325x  - 45x  + 81x + 27)(3x + 2)
+--R                                                    Type: Expression(Integer)
+--E 181
+
+--S 182 of 500
+r0:=-7/243*(2+3*x)^(1+m)/(1+m)+107/243*(2+3*x)^(2+m)/(2+m)-_
+     185/81*(2+3*x)^(3+m)/(3+m)+1025/243*(2+3*x)^(4+m)/(4+m)-_
+     250/243*(2+3*x)^(5+m)/(5+m)
+--R 
+--R
+--R   (2)
+--R              4        3        2                         m + 5
+--R       (- 250m  - 2500m  - 8750m  - 12500m - 6000)(3x + 2)
+--R     + 
+--R             4         3         2                          m + 4
+--R       (1025m  + 11275m  + 42025m  + 62525m + 30750)(3x + 2)
+--R     + 
+--R              4        3         2                          m + 3
+--R       (- 555m  - 6660m  - 27195m  - 43290m - 22200)(3x + 2)
+--R     + 
+--R            4        3        2                         m + 2
+--R       (107m  + 1391m  + 6313m  + 11449m + 6420)(3x + 2)
+--R     + 
+--R            4      3       2                       m + 1
+--R       (- 7m  - 98m  - 497m  - 1078m - 840)(3x + 2)
+--R  /
+--R         5        4         3         2
+--R     243m  + 3645m  + 20655m  + 54675m  + 66582m + 29160
+--R                                                    Type: Expression(Integer)
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  4          3          2                      5
+--R         (- 20250m  - 202500m  - 708750m  - 1012500m - 486000)x
+--R       + 
+--R                  4          3           2                      4
+--R         (- 39825m  - 370575m  - 1227825m  - 1686825m - 789750)x
+--R       + 
+--R                  4          3          2                     3
+--R         (- 21195m  - 148140m  - 368955m  - 387810m - 145800)x
+--R       + 
+--R               4         3          2                     2
+--R         (4131m  + 96093m  + 455229m  + 756927m + 393660)x
+--R       + 
+--R               4         3          2                             4         3
+--R         (6561m  + 86346m  + 343215m  + 526038m + 262440)x + 1458m  + 17496m
+--R       + 
+--R               2
+--R         66366m  + 99240m + 48800
+--R    *
+--R         m log(3x + 2)
+--R       %e
+--R  /
+--R        5        4        3         2
+--R     81m  + 1215m  + 6885m  + 18225m  + 22194m + 9720
+--R                                         Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)
+--R                    4          3           2                       5
+--R           (- 60750m  - 607500m  - 2126250m  - 3037500m - 1458000)x
+--R         + 
+--R                     4           3           2                       4
+--R           (- 119475m  - 1111725m  - 3683475m  - 5060475m - 2369250)x
+--R         + 
+--R                    4          3           2                      3
+--R           (- 63585m  - 444420m  - 1106865m  - 1163430m - 437400)x
+--R         + 
+--R                  4          3           2                       2
+--R           (12393m  + 288279m  + 1365687m  + 2270781m + 1180980)x
+--R         + 
+--R                  4          3           2                              4
+--R           (19683m  + 259038m  + 1029645m  + 1578114m + 787320)x + 4374m
+--R         + 
+--R                 3          2
+--R           52488m  + 199098m  + 297720m + 146400
+--R      *
+--R           m log(3x + 2)
+--R         %e
+--R     + 
+--R            4        3        2                         m + 5
+--R       (250m  + 2500m  + 8750m  + 12500m + 6000)(3x + 2)
+--R     + 
+--R               4         3         2                          m + 4
+--R       (- 1025m  - 11275m  - 42025m  - 62525m - 30750)(3x + 2)
+--R     + 
+--R            4        3         2                          m + 3
+--R       (555m  + 6660m  + 27195m  + 43290m + 22200)(3x + 2)
+--R     + 
+--R              4        3        2                         m + 2
+--R       (- 107m  - 1391m  - 6313m  - 11449m - 6420)(3x + 2)
+--R     + 
+--R          4      3       2                       m + 1
+--R       (7m  + 98m  + 497m  + 1078m + 840)(3x + 2)
+--R  /
+--R         5        4         3         2
+--R     243m  + 3645m  + 20655m  + 54675m  + 66582m + 29160
+--R                                                    Type: Expression(Integer)
+--E 184
+
+--S 185 of 500
+d0:=normalize m0
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(1-2*x)*(2+3*x)^8*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R               12            11            10            9            8
+--R     - 1640250x   - 10880325x   - 32079645x   - 54794799x  - 58723461x
+--R   + 
+--R                7            6           5           4           3          2
+--R     - 38920608x  - 12816720x  + 2100768x  + 4580384x  + 2391296x  + 672768x
+--R   + 
+--R     103680x + 6912
+--R                                                    Type: Polynomial(Integer)
+--E 186
+
+--S 187 of 500
+r0:=-7/2187*(2+3*x)^9+107/2430*(2+3*x)^10-185/891*(2+3*x)^11+_
+     1025/2916*(2+3*x)^12-250/3159*(2+3*x)^13
+--R 
+--R
+--R   (2)
+--R       1640250  13   3626775  12   32079645  11   54794799  10           9
+--R     - ------- x   - ------- x   - -------- x   - -------- x   - 6524829x
+--R          13            4             11             10
+--R   + 
+--R               8           7          6   4580384  5          4          3
+--R     - 4865076x  - 1830960x  + 350128x  + ------- x  + 597824x  + 224256x
+--R                                             5
+--R   + 
+--R           2           640642048
+--R     51840x  + 6912x + ---------
+--R                        1563705
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       1640250  13   3626775  12   32079645  11   54794799  10           9
+--R     - ------- x   - ------- x   - -------- x   - -------- x   - 6524829x
+--R          13            4             11             10
+--R   + 
+--R               8           7          6   4580384  5          4          3
+--R     - 4865076x  - 1830960x  + 350128x  + ------- x  + 597824x  + 224256x
+--R                                             5
+--R   + 
+--R           2
+--R     51840x  + 6912x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R 
+--R
+--R          640642048
+--R   (4)  - ---------
+--R           1563705
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(1-2*x)*(2+3*x)^7*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R              11           10           9            8            7           6
+--R     - 546750x   - 3262275x   - 8518365x  - 12586023x  - 11183805x  - 5517666x
+--R   + 
+--R              5           4          3          2
+--R     - 593796x  + 1096120x  + 796048x  + 266400x  + 46656x + 3456
+--R                                                    Type: Polynomial(Integer)
+--E 191
+
+--S 192 of 500
+r0:=3456*x+23328*x^2+88800*x^3+199012*x^4+219224*x^5-98966*x^6-_
+     788238*x^7-11183805/8*x^8-1398447*x^9-1703673/2*x^10-_
+     3262275/11*x^11-91125/2*x^12
+--R 
+--R
+--R   (2)
+--R       91125  12   3262275  11   1703673  10           9   11183805  8
+--R     - ----- x   - ------- x   - ------- x   - 1398447x  - -------- x
+--R         2            11            2                          8
+--R   + 
+--R              7         6          5          4         3         2
+--R     - 788238x  - 98966x  + 219224x  + 199012x  + 88800x  + 23328x  + 3456x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       91125  12   3262275  11   1703673  10           9   11183805  8
+--R     - ----- x   - ------- x   - ------- x   - 1398447x  - -------- x
+--R         2            11            2                          8
+--R   + 
+--R              7         6          5          4         3         2
+--R     - 788238x  - 98966x  + 219224x  + 199012x  + 88800x  + 23328x  + 3456x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(1-2*x)*(2+3*x)^6*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R              10          9           8           7           6          5
+--R     - 182250x   - 965925x  - 2195505x  - 2731671x  - 1906821x  - 568008x
+--R   + 
+--R            4          3          2
+--R     180740x  + 244880x  + 102096x  + 20736x + 1728
+--R                                                    Type: Polynomial(Integer)
+--E 196
+
+--S 197 of 500
+r0:=1728*x+10368*x^2+34032*x^3+61220*x^4+36148*x^5-94668*x^6-_
+     272403*x^7-2731671/8*x^8-243945*x^9-193185/2*x^10-182250/11*x^11
+--R 
+--R
+--R   (2)
+--R       182250  11   193185  10          9   2731671  8          7         6
+--R     - ------ x   - ------ x   - 243945x  - ------- x  - 272403x  - 94668x
+--R         11            2                       8
+--R   + 
+--R           5         4         3         2
+--R     36148x  + 61220x  + 34032x  + 10368x  + 1728x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       182250  11   193185  10          9   2731671  8          7         6
+--R     - ------ x   - ------ x   - 243945x  - ------- x  - 272403x  - 94668x
+--R         11            2                       8
+--R   + 
+--R           5         4         3         2
+--R     36148x  + 61220x  + 34032x  + 10368x  + 1728x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(1-2*x)*(2+3*x)^5*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             9          8          7          6          5        4         3
+--R     - 60750x  - 281475x  - 544185x  - 547767x  - 270429x  - 9050x  + 66280x
+--R   + 
+--R           2
+--R     37440x  + 9072x + 864
+--R                                                    Type: Polynomial(Integer)
+--E 201
+
+--S 202 of 500
+r0:=864*x+4536*x^2+12480*x^3+16570*x^4-1810*x^5-90143/2*x^6-_
+     547767/7*x^7-544185/8*x^8-31275*x^9-6075*x^10
+--R 
+--R
+--R   (2)
+--R            10         9   544185  8   547767  7   90143  6        5         4
+--R     - 6075x   - 31275x  - ------ x  - ------ x  - ----- x  - 1810x  + 16570x
+--R                              8           7          2
+--R   + 
+--R           3        2
+--R     12480x  + 4536x  + 864x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            10         9   544185  8   547767  7   90143  6        5         4
+--R     - 6075x   - 31275x  - ------ x  - ------ x  - ----- x  - 1810x  + 16570x
+--R                              8           7          2
+--R   + 
+--R           3        2
+--R     12480x  + 4536x  + 864x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(1-2*x)*(2+3*x)^4*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             8         7          6         5         4         3         2
+--R     - 20250x  - 80325x  - 127845x  - 97359x  - 25237x  + 13808x  + 12888x
+--R   + 
+--R     3888x + 432
+--R                                                    Type: Polynomial(Integer)
+--E 206
+
+--S 207 of 500
+r0:=432*x+1944*x^2+4296*x^3+3452*x^4-25237/5*x^5-32453/2*x^6-_
+     127845/7*x^7-80325/8*x^8-2250*x^9
+--R 
+--R
+--R   (2)
+--R            9   80325  8   127845  7   32453  6   25237  5        4        3
+--R     - 2250x  - ----- x  - ------ x  - ----- x  - ----- x  + 3452x  + 4296x
+--R                  8           7          2          5
+--R   + 
+--R          2
+--R     1944x  + 432x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            9   80325  8   127845  7   32453  6   25237  5        4        3
+--R     - 2250x  - ----- x  - ------ x  - ----- x  - ----- x  + 3452x  + 4296x
+--R                  8           7          2          5
+--R   + 
+--R          2
+--R     1944x  + 432x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(1-2*x)*(2+3*x)^3*(3+5*x)^3
+--R 
+--R
+--R               7         6         5         4       3        2
+--R   (1)  - 6750x  - 22275x  - 27765x  - 13943x  + 883x  + 4014x  + 1620x + 216
+--R                                                    Type: Polynomial(Integer)
+--E 211
+
+--S 212 of 500
+r0:=216*x+810*x^2+1338*x^3+883/4*x^4-13943/5*x^5-9255/2*x^6-_
+     22275/7*x^7-3375/4*x^8
+--R 
+--R
+--R   (2)
+--R     3375  8   22275  7   9255  6   13943  5   883  4        3       2
+--R   - ---- x  - ----- x  - ---- x  - ----- x  + --- x  + 1338x  + 810x  + 216x
+--R       4         7          2         5         4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     3375  8   22275  7   9255  6   13943  5   883  4        3       2
+--R   - ---- x  - ----- x  - ---- x  - ----- x  + --- x  + 1338x  + 810x  + 216x
+--R       4         7          2         5         4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(1-2*x)*(2+3*x)^2*(3+5*x)^3
+--R 
+--R
+--R               6        5        4        3        2
+--R   (1)  - 2250x  - 5925x  - 5305x  - 1111x  + 1035x  + 648x + 108
+--R                                                    Type: Polynomial(Integer)
+--E 216
+
+--S 217 of 500
+r0:=108*x+324*x^2+345*x^3-1111/4*x^4-1061*x^5-1975/2*x^6-2250/7*x^7
+--R 
+--R
+--R          2250  7   1975  6        5   1111  4       3       2
+--R   (2)  - ---- x  - ---- x  - 1061x  - ---- x  + 345x  + 324x  + 108x
+--R            7         2                  4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          2250  7   1975  6        5   1111  4       3       2
+--R   (3)  - ---- x  - ---- x  - 1061x  - ---- x  + 345x  + 324x  + 108x
+--R            7         2                  4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(1-2*x)*(2+3*x)*(3+5*x)^3
+--R 
+--R
+--R              5        4       3       2
+--R   (1)  - 750x  - 1475x  - 785x  + 153x  + 243x + 54
+--R                                                    Type: Polynomial(Integer)
+--E 221
+
+--S 222 of 500
+r0:=54*x+243/2*x^2+51*x^3-785/4*x^4-295*x^5-125*x^6
+--R 
+--R
+--R              6       5   785  4      3   243  2
+--R   (2)  - 125x  - 295x  - --- x  + 51x  + --- x  + 54x
+--R                           4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              6       5   785  4      3   243  2
+--R   (3)  - 125x  - 295x  - --- x  + 51x  + --- x  + 54x
+--R                           4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(1-2*x)*(3+5*x)^3
+--R 
+--R
+--R              4       3      2
+--R   (1)  - 250x  - 325x  - 45x  + 81x + 27
+--R                                                    Type: Polynomial(Integer)
+--E 226
+
+--S 227 of 500
+r0:=27*x+81/2*x^2-15*x^3-325/4*x^4-50*x^5
+--R 
+--R
+--R             5   325  4      3   81  2
+--R   (2)  - 50x  - --- x  - 15x  + -- x  + 27x
+--R                  4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R             5   325  4      3   81  2
+--R   (3)  - 50x  - --- x  - 15x  + -- x  + 27x
+--R                  4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)
+--R 
+--R
+--R              4       3      2
+--R        - 250x  - 325x  - 45x  + 81x + 27
+--R   (1)  ---------------------------------
+--R                      3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=1097/81*x+545/54*x^2-475/27*x^3-125/6*x^4-7/243*log(2+3*x)
+--R 
+--R
+--R                                4        3        2
+--R        - 14log(3x + 2) - 10125x  - 8550x  + 4905x  + 6582x
+--R   (2)  ---------------------------------------------------
+--R                                486
+--R                                                    Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                4        3        2
+--R        - 14log(3x + 2) - 10125x  - 8550x  + 4905x  + 6582x
+--R   (3)  ---------------------------------------------------
+--R                                486
+--R                                         Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^2
+--R 
+--R
+--R              4       3      2
+--R        - 250x  - 325x  - 45x  + 81x + 27
+--R   (1)  ---------------------------------
+--R                    2
+--R                  9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=55/9*x+25/54*x^2-250/27*x^3+7/243/(2+3*x)+107/243*log(2+3*x)
+--R 
+--R
+--R                                        4        3        2
+--R        (642x + 428)log(3x + 2) - 13500x  - 8325x  + 9360x  + 5940x + 14
+--R   (2)  ----------------------------------------------------------------
+--R                                   1458x + 972
+--R                                                    Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                        4        3        2
+--R        (642x + 428)log(3x + 2) - 13500x  - 8325x  + 9360x  + 5940x + 14
+--R   (3)  ----------------------------------------------------------------
+--R                                   1458x + 972
+--R                                         Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^3
+--R 
+--R
+--R              4       3      2
+--R        - 250x  - 325x  - 45x  + 81x + 27
+--R   (1)  ---------------------------------
+--R                 3      2
+--R              27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=175/27*x-125/27*x^2+7/486/(2+3*x)^2+(-107/243)/(2+3*x)-185/81*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R               2                                     4        3         2
+--R       (- 9990x  - 13320x - 4440)log(3x + 2) - 20250x  + 1350x  + 28800x
+--R     + 
+--R       11958x - 421
+--R  /
+--R          2
+--R     4374x  + 5832x + 1944
+--R                                                    Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                     4        3         2
+--R       (- 9990x  - 13320x - 4440)log(3x + 2) - 20250x  + 1350x  + 28800x
+--R     + 
+--R       11958x - 421
+--R  /
+--R          2
+--R     4374x  + 5832x + 1944
+--R                                         Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^4
+--R 
+--R
+--R              4       3      2
+--R        - 250x  - 325x  - 45x  + 81x + 27
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R         81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=-250/81*x+7/729/(2+3*x)^3+(-107/486)/(2+3*x)^2+185/81/(2+3*x)+_
+     1025/243*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R               3          2                                        4          3
+--R       (166050x  + 332100x  + 221400x + 49200)log(3x + 2) - 121500x  - 243000x
+--R     + 
+--R                2
+--R       - 132030x  + 2997x + 12692
+--R  /
+--R           3         2
+--R     39366x  + 78732x  + 52488x + 11664
+--R                                                    Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               3          2                                        4          3
+--R       (166050x  + 332100x  + 221400x + 49200)log(3x + 2) - 121500x  - 243000x
+--R     + 
+--R                2
+--R       - 132030x  + 2997x + 12692
+--R  /
+--R           3         2
+--R     39366x  + 78732x  + 52488x + 11664
+--R                                         Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^5
+--R 
+--R
+--R                   4       3      2
+--R             - 250x  - 325x  - 45x  + 81x + 27
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=7/972/(2+3*x)^4+(-107/729)/(2+3*x)^3+185/162/(2+3*x)^2+_
+     (-1025/243)/(2+3*x)-250/243*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                 4          3          2
+--R       (- 243000x  - 648000x  - 648000x  - 288000x - 48000)log(3x + 2)
+--R     + 
+--R                3          2
+--R       - 332100x  - 634230x  - 404124x - 85915
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                                    Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 4          3          2
+--R       (- 243000x  - 648000x  - 648000x  - 288000x - 48000)log(3x + 2)
+--R     + 
+--R                3          2
+--R       - 332100x  - 634230x  - 404124x - 85915
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                         Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^6
+--R 
+--R
+--R                        4       3      2
+--R                  - 250x  - 325x  - 45x  + 81x + 27
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=7/15*(3+5*x)^4/(2+3*x)^5+5/12*(3+5*x)^4/(2+3*x)^4
+--R 
+--R
+--R        3125  5   5375  4   2425  3      2   119     13
+--R        ---- x  + ---- x  + ---- x  + 10x  + --- x + --
+--R         972       486       162              36     30
+--R   (2)  -----------------------------------------------
+--R             5   10  4   40  3   80  2   80      32
+--R            x  + -- x  + -- x  + -- x  + -- x + ---
+--R                  3       9      27      81     243
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                        4          3          2
+--R                 405000x  + 803250x  + 559800x  + 153795x + 11758
+--R   (3)  -----------------------------------------------------------------
+--R                5           4           3           2
+--R        1180980x  + 3936600x  + 5248800x  + 3499200x  + 1166400x + 155520
+--R                                         Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R 
+--R
+--R          3125
+--R   (4)  - ----
+--R           972
+--R                                                    Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^7
+--R 
+--R
+--R                                4       3      2
+--R                          - 250x  - 325x  - 45x  + 81x + 27
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=7/18*(3+5*x)^4/(2+3*x)^6+29/45*(3+5*x)^4/(2+3*x)^5+_
+     29/36*(3+5*x)^4/(2+3*x)^4
+--R 
+--R
+--R        18125  6   18125  5   30250  4   8975  3   665  2   664     49
+--R        ----- x  + ----- x  + ----- x  + ---- x  + --- x  + --- x + --
+--R         2916       729        729        243       36      135     90
+--R   (2)  --------------------------------------------------------------
+--R                 6     5   20  4   160  3   80  2   64      64
+--R                x  + 4x  + -- x  + --- x  + -- x  + -- x + ---
+--R                            3       27      27      81     729
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            4           3          2
+--R     607500x  + 1066500x  + 587925x  + 78048x - 13198
+--R  /
+--R                6            5            4            3            2
+--R       10628820x  + 42515280x  + 70858800x  + 62985600x  + 31492800x  + 8398080x
+--R     + 
+--R       933120
+--R                                         Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R 
+--R
+--R          18125
+--R   (4)  - -----
+--R           2916
+--R                                                    Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R           4       3      2
+--R     - 250x  - 325x  - 45x  + 81x + 27
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 266
+
+--S 267 of 500
+r0:=1/243/(2+3*x)^7+(-107/1458)/(2+3*x)^6+37/81/(2+3*x)^5+_
+     (-1025/972)/(2+3*x)^4+250/729/(2+3*x)^3
+--R 
+--R
+--R            250   4    4925   3    1147   2     107         922
+--R           ----- x  + ------ x  + ------ x  + ------- x - -------
+--R           19683      236196      118098      1062882     1594323
+--R   (2)  ------------------------------------------------------------
+--R         7   14  6   28  5   280  4   560  3   224  2   448      128
+--R        x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R              3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 267
+
+--S 268 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           4          3         2
+--R     81000x  + 132975x  + 61938x  + 642x - 3688
+--R  /
+--R               7            6            5            4            3
+--R       6377292x  + 29760696x  + 59521392x  + 66134880x  + 44089920x
+--R     + 
+--R                2
+--R       17635968x  + 3919104x + 373248
+--R                                         Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 269
+
+--S 270 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(5-2*x)^6*(2+3*x)^3*(-16+33*x)
+--R 
+--R
+--R   (1)
+--R           10          9           8            7           6           5
+--R     57024x   - 768960x  + 4070736x  - 10051008x  + 8647828x  + 8983380x
+--R   + 
+--R                4          3            2
+--R     - 19081125x  - 196250x  + 11962500x  - 75000x - 2000000
+--R                                                    Type: Polynomial(Integer)
+--E 271
+
+--S 272 of 500
+r0:=-1/2*(5-2*x)^7*(2+3*x)^4
+--R 
+--R
+--R   (2)
+--R          11         10          9           8           7           6
+--R     5184x   - 76896x   + 452304x  - 1256376x  + 1235404x  + 1497230x
+--R   + 
+--R               5   98125  4           3         2
+--R     - 3816225x  - ----- x  + 3987500x  - 37500x  - 2000000x - 625000
+--R                     2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R          11         10          9           8           7           6
+--R     5184x   - 76896x   + 452304x  - 1256376x  + 1235404x  + 1497230x
+--R   + 
+--R               5   98125  4           3         2
+--R     - 3816225x  - ----- x  + 3987500x  - 37500x  - 2000000x
+--R                     2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  625000
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(1-2*x)*(2+3*x)^m/(3+5*x)
+--R 
+--R
+--R                          m
+--R        (- 2x + 1)(3x + 2)
+--R   (1)  -------------------
+--R               5x + 3
+--R                                                    Type: Expression(Integer)
+--E 276
+
+--S 277 of 500
+--r0:=-2/15*(2+3*x)^(1+m)/(1+m)-11/5*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 277
+
+--S 278 of 500
+--a0:=integrate(t0,x)
+--E 278
+
+--S 279 of 500
+--m0:=a0-r0
+--E 279
+
+--S 280 of 500
+--d0:=D(m0,x)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(1-2*x)*(2+3*x)^6/(3+5*x)
+--R 
+--R
+--R               7        6        5        4        2
+--R        - 1458x  - 5103x  - 6804x  - 3780x  + 1008x  + 448x + 64
+--R   (1)  --------------------------------------------------------
+--R                                 5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=1666663/78125*x+1777779/31250*x^2+152469/3125*x^3-_
+     152469/2500*x^4-106677/625*x^5-7047/50*x^6-1458/35*x^7+_
+     11/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                  7              6              5             4
+--R       308log(5x + 3) - 455625000x  - 1541531250x  - 1866847500x  - 667051875x
+--R     + 
+--R                 3             2
+--R       533641500x  + 622222650x  + 233332820x
+--R  /
+--R     10937500
+--R                                                    Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                  7              6              5             4
+--R       308log(5x + 3) - 455625000x  - 1541531250x  - 1866847500x  - 667051875x
+--R     + 
+--R                 3             2
+--R       533641500x  + 622222650x  + 233332820x
+--R  /
+--R     10937500
+--R                                         Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(1-2*x)*(2+3*x)^5/(3+5*x)
+--R 
+--R
+--R              6        5        4       3       2
+--R        - 486x  - 1377x  - 1350x  - 360x  + 240x  + 176x + 32
+--R   (1)  -----------------------------------------------------
+--R                                5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=166663/15625*x+127779/6250*x^2+2469/625*x^3-17469/500*x^4-_
+     5427/125*x^5-81/5*x^6+11/78125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                               6            5            4           3
+--R       44log(5x + 3) - 5062500x  - 13567500x  - 10918125x  + 1234500x
+--R     + 
+--R               2
+--R       6388950x  + 3333260x
+--R  /
+--R     312500
+--R                                                    Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                               6            5            4           3
+--R       44log(5x + 3) - 5062500x  - 13567500x  - 10918125x  + 1234500x
+--R     + 
+--R               2
+--R       6388950x  + 3333260x
+--R  /
+--R     312500
+--R                                         Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(1-2*x)*(2+3*x)^4/(3+5*x)
+--R 
+--R
+--R              5       4       3      2
+--R        - 162x  - 351x  - 216x  + 24x  + 64x + 16
+--R   (1)  -----------------------------------------
+--R                          5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=16663/3125*x+7779/1250*x^2-531/125*x^3-1269/100*x^4-_
+     162/25*x^5+11/15625*log(3+5*x)
+--R 
+--R
+--R                               5          4          3          2
+--R        44log(5x + 3) - 405000x  - 793125x  - 265500x  + 388950x  + 333260x
+--R   (2)  -------------------------------------------------------------------
+--R                                       62500
+--R                                                    Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               5          4          3          2
+--R        44log(5x + 3) - 405000x  - 793125x  - 265500x  + 388950x  + 333260x
+--R   (3)  -------------------------------------------------------------------
+--R                                       62500
+--R                                         Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(1-2*x)*(2+3*x)^3/(3+5*x)
+--R 
+--R
+--R             4      3      2
+--R        - 54x  - 81x  - 18x  + 20x + 8
+--R   (1)  ------------------------------
+--R                    5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=1663/625*x+279/250*x^2-81/25*x^3-27/10*x^4+11/3125*log(3+5*x)
+--R 
+--R
+--R                              4         3        2
+--R        22log(5x + 3) - 16875x  - 20250x  + 6975x  + 16630x
+--R   (2)  ---------------------------------------------------
+--R                                6250
+--R                                                    Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                              4         3        2
+--R        22log(5x + 3) - 16875x  - 20250x  + 6975x  + 16630x
+--R   (3)  ---------------------------------------------------
+--R                                6250
+--R                                         Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(1-2*x)*(2+3*x)^2/(3+5*x)
+--R 
+--R
+--R             3      2
+--R        - 18x  - 15x  + 4x + 4
+--R   (1)  ----------------------
+--R                5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=163/125*x-21/50*x^2-6/5*x^3+11/625*log(3+5*x)
+--R 
+--R
+--R                             3       2
+--R        22log(5x + 3) - 1500x  - 525x  + 1630x
+--R   (2)  --------------------------------------
+--R                         1250
+--R                                                    Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                             3       2
+--R        22log(5x + 3) - 1500x  - 525x  + 1630x
+--R   (3)  --------------------------------------
+--R                         1250
+--R                                         Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(1-2*x)*(2+3*x)/(3+5*x)
+--R 
+--R
+--R            2
+--R        - 6x  - x + 2
+--R   (1)  -------------
+--R            5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=13/25*x-3/5*x^2+11/125*log(3+5*x)
+--R 
+--R
+--R                           2
+--R        11log(5x + 3) - 75x  + 65x
+--R   (2)  --------------------------
+--R                    125
+--R                                                    Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                           2
+--R        11log(5x + 3) - 75x  + 65x
+--R   (3)  --------------------------
+--R                    125
+--R                                         Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=(1-2*x)/(3+5*x)
+--R 
+--R
+--R        - 2x + 1
+--R   (1)  --------
+--R         5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=-2/5*x+11/25*log(3+5*x)
+--R 
+--R
+--R        11log(5x + 3) - 10x
+--R   (2)  -------------------
+--R                 25
+--R                                                    Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        11log(5x + 3) - 10x
+--R   (3)  -------------------
+--R                 25
+--R                                         Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=(1-2*x)/((2+3*x)*(3+5*x))
+--R 
+--R
+--R           - 2x + 1
+--R   (1)  --------------
+--R           2
+--R        15x  + 19x + 6
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=-7/3*log(2+3*x)+11/5*log(3+5*x)
+--R 
+--R
+--R        33log(5x + 3) - 35log(3x + 2)
+--R   (2)  -----------------------------
+--R                      15
+--R                                                    Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        33log(5x + 3) - 35log(3x + 2)
+--R   (3)  -----------------------------
+--R                      15
+--R                                         Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=(1-2*x)/((2+3*x)^2*(3+5*x))
+--R 
+--R
+--R               - 2x + 1
+--R   (1)  ----------------------
+--R           3      2
+--R        45x  + 87x  + 56x + 12
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=7/3/(2+3*x)-11*log(2+3*x)+11*log(3+5*x)
+--R 
+--R
+--R        (99x + 66)log(5x + 3) + (- 99x - 66)log(3x + 2) + 7
+--R   (2)  ---------------------------------------------------
+--R                               9x + 6
+--R                                                    Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (99x + 66)log(5x + 3) + (- 99x - 66)log(3x + 2) + 7
+--R   (3)  ---------------------------------------------------
+--R                               9x + 6
+--R                                         Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=(1-2*x)/((2+3*x)^3*(3+5*x))
+--R 
+--R
+--R                     - 2x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        135x  + 351x  + 342x  + 148x + 24
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=7/6/(2+3*x)^2+11/(2+3*x)-55*log(2+3*x)+55*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R             2                                      2
+--R       (2970x  + 3960x + 1320)log(5x + 3) + (- 2970x  - 3960x - 1320)log(3x + 2)
+--R     + 
+--R       198x + 139
+--R  /
+--R        2
+--R     54x  + 72x + 24
+--R                                                    Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R             2                                      2
+--R       (2970x  + 3960x + 1320)log(5x + 3) + (- 2970x  - 3960x - 1320)log(3x + 2)
+--R     + 
+--R       198x + 139
+--R  /
+--R        2
+--R     54x  + 72x + 24
+--R                                         Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=(1-2*x)/((2+3*x)^4*(3+5*x))
+--R 
+--R
+--R                          - 2x + 1
+--R   (1)  --------------------------------------------
+--R            5        4        3        2
+--R        405x  + 1323x  + 1728x  + 1128x  + 368x + 48
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=7/9/(2+3*x)^3+11/2/(2+3*x)^2+55/(2+3*x)-275*log(2+3*x)+275*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               3          2
+--R       (133650x  + 267300x  + 178200x + 39600)log(5x + 3)
+--R     + 
+--R                 3          2                                      2
+--R       (- 133650x  - 267300x  - 178200x - 39600)log(3x + 2) + 8910x  + 12177x
+--R     + 
+--R       4172
+--R  /
+--R         3       2
+--R     486x  + 972x  + 648x + 144
+--R                                                    Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               3          2
+--R       (133650x  + 267300x  + 178200x + 39600)log(5x + 3)
+--R     + 
+--R                 3          2                                      2
+--R       (- 133650x  - 267300x  - 178200x - 39600)log(3x + 2) + 8910x  + 12177x
+--R     + 
+--R       4172
+--R  /
+--R         3       2
+--R     486x  + 972x  + 648x + 144
+--R                                         Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=(1-2*x)/((2+3*x)^5*(3+5*x))
+--R 
+--R
+--R                               - 2x + 1
+--R   (1)  ------------------------------------------------------
+--R             6        5        4        3        2
+--R        1215x  + 4779x  + 7830x  + 6840x  + 3360x  + 880x + 96
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=7/12/(2+3*x)^4+11/3/(2+3*x)^3+55/2/(2+3*x)^2+275/(2+3*x)-_
+     1375*log(2+3*x)+1375*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                4           3           2
+--R       (1336500x  + 3564000x  + 3564000x  + 1584000x + 264000)log(5x + 3)
+--R     + 
+--R                  4           3           2
+--R       (- 1336500x  - 3564000x  - 3564000x  - 1584000x - 264000)log(3x + 2)
+--R     + 
+--R             3          2
+--R       89100x  + 181170x  + 122892x + 27815
+--R  /
+--R         4        3        2
+--R     972x  + 2592x  + 2592x  + 1152x + 192
+--R                                                    Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                4           3           2
+--R       (1336500x  + 3564000x  + 3564000x  + 1584000x + 264000)log(5x + 3)
+--R     + 
+--R                  4           3           2
+--R       (- 1336500x  - 3564000x  - 3564000x  - 1584000x - 264000)log(3x + 2)
+--R     + 
+--R             3          2
+--R       89100x  + 181170x  + 122892x + 27815
+--R  /
+--R         4        3        2
+--R     972x  + 2592x  + 2592x  + 1152x + 192
+--R                                         Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=(1-2*x)/((2+3*x)^6*(3+5*x))
+--R 
+--R
+--R                                       - 2x + 1
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        3645x  + 16767x  + 33048x  + 36180x  + 23760x  + 9360x  + 2048x + 192
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=7/15/(2+3*x)^5+11/4/(2+3*x)^4+55/3/(2+3*x)^3+275/2/(2+3*x)^2+_
+     1375/(2+3*x)-6875*log(2+3*x)+6875*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                    5             4             3            2
+--R           33412500x  + 111375000x  + 148500000x  + 99000000x  + 33000000x
+--R         + 
+--R           4400000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      5             4             3            2
+--R           - 33412500x  - 111375000x  - 148500000x  - 99000000x  - 33000000x
+--R         + 
+--R           - 4400000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               4           3           2
+--R       2227500x  + 6014250x  + 6091800x  + 2743565x + 463586
+--R  /
+--R          5         4         3         2
+--R     4860x  + 16200x  + 21600x  + 14400x  + 4800x + 640
+--R                                                    Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                    5             4             3            2
+--R           33412500x  + 111375000x  + 148500000x  + 99000000x  + 33000000x
+--R         + 
+--R           4400000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      5             4             3            2
+--R           - 33412500x  - 111375000x  - 148500000x  - 99000000x  - 33000000x
+--R         + 
+--R           - 4400000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               4           3           2
+--R       2227500x  + 6014250x  + 6091800x  + 2743565x + 463586
+--R  /
+--R          5         4         3         2
+--R     4860x  + 16200x  + 21600x  + 14400x  + 4800x + 640
+--R                                         Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=(1-2*x)/((2+3*x)^7*(3+5*x))
+--R 
+--R
+--R   (1)
+--R     - 2x + 1
+--R  /
+--R             8         7          6          5          4         3         2
+--R       10935x  + 57591x  + 132678x  + 174636x  + 143640x  + 75600x  + 24864x
+--R     + 
+--R       4672x + 384
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=7/18/(2+3*x)^6+11/5/(2+3*x)^5+55/4/(2+3*x)^4+275/3/(2+3*x)^3+_
+     1375/2/(2+3*x)^2+6875/(2+3*x)-34375*log(2+3*x)+34375*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                      6               5               4               3
+--R           4510687500x  + 18042750000x  + 30071250000x  + 26730000000x
+--R         + 
+--R                       2
+--R           13365000000x  + 3564000000x + 396000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                        6               5               4               3
+--R           - 4510687500x  - 18042750000x  - 30071250000x  - 26730000000x
+--R         + 
+--R                         2
+--R           - 13365000000x  - 3564000000x - 396000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 5              4              3             2
+--R       300712500x  + 1012398750x  + 1363675500x  + 918643275x  + 309504888x
+--R     + 
+--R       41722762
+--R  /
+--R            6          5          4          3          2
+--R     131220x  + 524880x  + 874800x  + 777600x  + 388800x  + 103680x + 11520
+--R                                                    Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      6               5               4               3
+--R           4510687500x  + 18042750000x  + 30071250000x  + 26730000000x
+--R         + 
+--R                       2
+--R           13365000000x  + 3564000000x + 396000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                        6               5               4               3
+--R           - 4510687500x  - 18042750000x  - 30071250000x  - 26730000000x
+--R         + 
+--R                         2
+--R           - 13365000000x  - 3564000000x - 396000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 5              4              3             2
+--R       300712500x  + 1012398750x  + 1363675500x  + 918643275x  + 309504888x
+--R     + 
+--R       41722762
+--R  /
+--R            6          5          4          3          2
+--R     131220x  + 524880x  + 874800x  + 777600x  + 388800x  + 103680x + 11520
+--R                                         Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(1-2*x)*(2+3*x)^m/(3+5*x)^2
+--R 
+--R
+--R                          m
+--R        (- 2x + 1)(3x + 2)
+--R   (1)  -------------------
+--R              2
+--R           25x  + 30x + 9
+--R                                                    Type: Expression(Integer)
+--E 351
+
+--S 352 of 500
+--r0:=-11/5*(2+3*x)^(1+m)/(3+5*x)+1/5*(2-33*m)*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 352
+
+--S 353 of 500
+--a0:=integrate(t0,x)
+--E 353
+
+--S 354 of 500
+--m0:=a0-r0
+--E 354
+
+--S 355 of 500
+--d0:=D(m0,x)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(1-2*x)*(2+3*x)^7/(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R              8         7         6         5        4        3        2
+--R       - 4374x  - 18225x  - 30618x  - 24948x  - 7560x  + 3024x  + 3360x  + 1088x
+--R     + 
+--R       128
+--R  /
+--R        2
+--R     25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=5555478/390625*x+5740767/156250*x^2+92592/3125*x^3-_
+     513783/12500*x^4-336798/3125*x^5-21627/250*x^6-_
+     4374/175*x^7+(-11/1953125)/(3+5*x)+229/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                8               7
+--R       (32060x + 19236)log(5x + 3) - 6834375000x  - 27755156250x
+--R     + 
+--R                     6               5              4               3
+--R       - 43662543750x  - 28920898125x  + 1358398125x  + 14907422250x
+--R     + 
+--R                  2
+--R       9916639950x  + 2333300760x - 308
+--R  /
+--R     273437500x + 164062500
+--R                                                    Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                8               7
+--R       (32060x + 19236)log(5x + 3) - 6834375000x  - 27755156250x
+--R     + 
+--R                     6               5              4               3
+--R       - 43662543750x  - 28920898125x  + 1358398125x  + 14907422250x
+--R     + 
+--R                  2
+--R       9916639950x  + 2333300760x - 308
+--R  /
+--R     273437500x + 164062500
+--R                                         Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(1-2*x)*(2+3*x)^6/(3+5*x)^2
+--R 
+--R
+--R               7        6        5        4        2
+--R        - 1458x  - 5103x  - 6804x  - 3780x  + 1008x  + 448x + 64
+--R   (1)  --------------------------------------------------------
+--R                                2
+--R                             25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=555489/78125*x+40743/3125*x^2+5553/3125*x^3-14094/625*x^4-_
+     16767/625*x^5-243/25*x^6+(-11/390625)/(3+5*x)+196/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                          7            6            5
+--R       (980x + 588)log(5x + 3) - 18984375x  - 63787500x  - 75481875x
+--R     + 
+--R                  4            3            2
+--R       - 22955625x  + 27546750x  + 29165850x  + 8332335x - 11
+--R  /
+--R     1953125x + 1171875
+--R                                                    Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                          7            6            5
+--R       (980x + 588)log(5x + 3) - 18984375x  - 63787500x  - 75481875x
+--R     + 
+--R                  4            3            2
+--R       - 22955625x  + 27546750x  + 29165850x  + 8332335x - 11
+--R  /
+--R     1953125x + 1171875
+--R                                         Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(1-2*x)*(2+3*x)^5/(3+5*x)^2
+--R 
+--R
+--R              6        5        4       3       2
+--R        - 486x  - 1377x  - 1350x  - 360x  + 240x  + 176x + 32
+--R   (1)  -----------------------------------------------------
+--R                               2
+--R                            25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=444/125*x+24093/6250*x^2-1854/625*x^3-3969/500*x^4-_
+     486/125*x^5+(-11/78125)/(3+5*x)+163/78125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                           6            5            4
+--R       (3260x + 1956)log(5x + 3) - 6075000x  - 16048125x  - 12076875x
+--R     + 
+--R               3           2
+--R       3242250x  + 9163950x  + 3330000x - 44
+--R  /
+--R     1562500x + 937500
+--R                                                    Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                           6            5            4
+--R       (3260x + 1956)log(5x + 3) - 6075000x  - 16048125x  - 12076875x
+--R     + 
+--R               3           2
+--R       3242250x  + 9163950x  + 3330000x - 44
+--R  /
+--R     1562500x + 937500
+--R                                         Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(1-2*x)*(2+3*x)^4/(3+5*x)^2
+--R 
+--R
+--R              5       4       3      2
+--R        - 162x  - 351x  - 216x  + 24x  + 64x + 16
+--R   (1)  -----------------------------------------
+--R                         2
+--R                      25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=5511/3125*x+378/625*x^2-261/125*x^3-81/50*x^4+(-11/15625)/(3+5*x)+_
+     26/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                         5          4          3          2
+--R       (1300x + 780)log(5x + 3) - 253125x  - 478125x  - 101250x  + 332250x
+--R     + 
+--R       165330x - 22
+--R  /
+--R     156250x + 93750
+--R                                                    Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                         5          4          3          2
+--R       (1300x + 780)log(5x + 3) - 253125x  - 478125x  - 101250x  + 332250x
+--R     + 
+--R       165330x - 22
+--R  /
+--R     156250x + 93750
+--R                                         Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(1-2*x)*(2+3*x)^3/(3+5*x)^2
+--R 
+--R
+--R             4      3      2
+--R        - 54x  - 81x  - 18x  + 20x + 8
+--R   (1)  ------------------------------
+--R                   2
+--R                25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=522/625*x-81/250*x^2-18/25*x^3+(-11/3125)/(3+5*x)+97/3125*log(3+5*x)
+--R 
+--R
+--R                                        4         3         2
+--R        (970x + 582)log(5x + 3) - 22500x  - 23625x  + 20025x  + 15660x - 22
+--R   (2)  -------------------------------------------------------------------
+--R                                   31250x + 18750
+--R                                                    Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                        4         3         2
+--R        (970x + 582)log(5x + 3) - 22500x  - 23625x  + 20025x  + 15660x - 22
+--R   (3)  -------------------------------------------------------------------
+--R                                   31250x + 18750
+--R                                         Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(1-2*x)*(2+3*x)^2/(3+5*x)^2
+--R 
+--R
+--R             3      2
+--R        - 18x  - 15x  + 4x + 4
+--R   (1)  ----------------------
+--R               2
+--R            25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=33/125*x-9/25*x^2+(-11/625)/(3+5*x)+64/625*log(3+5*x)
+--R 
+--R
+--R                                       3       2
+--R        (320x + 192)log(5x + 3) - 1125x  + 150x  + 495x - 11
+--R   (2)  ----------------------------------------------------
+--R                            3125x + 1875
+--R                                                    Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                       3       2
+--R        (320x + 192)log(5x + 3) - 1125x  + 150x  + 495x - 11
+--R   (3)  ----------------------------------------------------
+--R                            3125x + 1875
+--R                                         Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(1-2*x)*(2+3*x)/(3+5*x)^2
+--R 
+--R
+--R             2
+--R         - 6x  - x + 2
+--R   (1)  --------------
+--R           2
+--R        25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=-6/25*x+(-11/125)/(3+5*x)+31/125*log(3+5*x)
+--R 
+--R
+--R                                     2
+--R        (155x + 93)log(5x + 3) - 150x  - 90x - 11
+--R   (2)  -----------------------------------------
+--R                        625x + 375
+--R                                                    Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                     2
+--R        (155x + 93)log(5x + 3) - 150x  - 90x - 11
+--R   (3)  -----------------------------------------
+--R                        625x + 375
+--R                                         Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(1-2*x)/(3+5*x)^2
+--R 
+--R
+--R           - 2x + 1
+--R   (1)  --------------
+--R           2
+--R        25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-11/25)/(3+5*x)-2/25*log(3+5*x)
+--R 
+--R
+--R        (- 10x - 6)log(5x + 3) - 11
+--R   (2)  ---------------------------
+--R                 125x + 75
+--R                                                    Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (- 10x - 6)log(5x + 3) - 11
+--R   (3)  ---------------------------
+--R                 125x + 75
+--R                                         Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=(1-2*x)/((2+3*x)*(3+5*x)^2)
+--R 
+--R
+--R                - 2x + 1
+--R   (1)  -----------------------
+--R           3       2
+--R        75x  + 140x  + 87x + 18
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-11/5)/(3+5*x)+7*log(2+3*x)-7*log(3+5*x)
+--R 
+--R
+--R        (- 175x - 105)log(5x + 3) + (175x + 105)log(3x + 2) - 11
+--R   (2)  --------------------------------------------------------
+--R                                25x + 15
+--R                                                    Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (- 175x - 105)log(5x + 3) + (175x + 105)log(3x + 2) - 11
+--R   (3)  --------------------------------------------------------
+--R                                25x + 15
+--R                                         Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=(1-2*x)/((2+3*x)^2*(3+5*x)^2)
+--R 
+--R
+--R                     - 2x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        225x  + 570x  + 541x  + 228x + 36
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-7)/(2+3*x)+(-11)/(3+5*x)+68*log(2+3*x)-68*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2                                   2
+--R       (- 1020x  - 1292x - 408)log(5x + 3) + (1020x  + 1292x + 408)log(3x + 2)
+--R     + 
+--R       - 68x - 43
+--R  /
+--R        2
+--R     15x  + 19x + 6
+--R                                                    Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                   2
+--R       (- 1020x  - 1292x - 408)log(5x + 3) + (1020x  + 1292x + 408)log(3x + 2)
+--R     + 
+--R       - 68x - 43
+--R  /
+--R        2
+--R     15x  + 19x + 6
+--R                                         Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=(1-2*x)/((2+3*x)^3*(3+5*x)^2)
+--R 
+--R
+--R                          - 2x + 1
+--R   (1)  --------------------------------------------
+--R            5        4        3        2
+--R        675x  + 2160x  + 2763x  + 1766x  + 564x + 72
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-7/2)/(2+3*x)^2+(-68)/(2+3*x)+(-55)/(3+5*x)+505*log(2+3*x)-505*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                3         2
+--R       (- 45450x  - 87870x  - 56560x - 12120)log(5x + 3)
+--R     + 
+--R              3         2                                     2
+--R       (45450x  + 87870x  + 56560x + 12120)log(3x + 2) - 3030x  - 3939x - 1277
+--R  /
+--R        3       2
+--R     90x  + 174x  + 112x + 24
+--R                                                    Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                3         2
+--R       (- 45450x  - 87870x  - 56560x - 12120)log(5x + 3)
+--R     + 
+--R              3         2                                     2
+--R       (45450x  + 87870x  + 56560x + 12120)log(3x + 2) - 3030x  - 3939x - 1277
+--R  /
+--R        3       2
+--R     90x  + 174x  + 112x + 24
+--R                                         Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=(1-2*x)/((2+3*x)^4*(3+5*x)^2)
+--R 
+--R
+--R                                 - 2x + 1
+--R   (1)  ----------------------------------------------------------
+--R             6        5         4         3        2
+--R        2025x  + 7830x  + 12609x  + 10824x  + 5224x  + 1344x + 144
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-7/3)/(2+3*x)^3+(-34)/(2+3*x)^2+(-505)/(2+3*x)+(-275)/(3+5*x)+_
+     3350*log(2+3*x)-3350*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                  4           3           2
+--R       (- 1356750x  - 3527550x  - 3437100x  - 1487400x - 241200)log(5x + 3)
+--R     + 
+--R                4           3           2
+--R       (1356750x  + 3527550x  + 3437100x  + 1487400x + 241200)log(3x + 2)
+--R     + 
+--R               3          2
+--R       - 90450x  - 177885x  - 116513x - 25413
+--R  /
+--R         4        3        2
+--R     405x  + 1053x  + 1026x  + 444x + 72
+--R                                                    Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  4           3           2
+--R       (- 1356750x  - 3527550x  - 3437100x  - 1487400x - 241200)log(5x + 3)
+--R     + 
+--R                4           3           2
+--R       (1356750x  + 3527550x  + 3437100x  + 1487400x + 241200)log(3x + 2)
+--R     + 
+--R               3          2
+--R       - 90450x  - 177885x  - 116513x - 25413
+--R  /
+--R         4        3        2
+--R     405x  + 1053x  + 1026x  + 444x + 72
+--R                                         Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=(1-2*x)/((2+3*x)^5*(3+5*x)^2)
+--R 
+--R
+--R                                       - 2x + 1
+--R   (1)  ----------------------------------------------------------------------
+--R             7         6         5         4         3         2
+--R        6075x  + 27540x  + 53487x  + 57690x  + 37320x  + 14480x  + 3120x + 288
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=(-7/4)/(2+3*x)^4+(-68/3)/(2+3*x)^3+(-505/2)/(2+3*x)^2+_
+     (-3350)/(2+3*x)+(-1375)/(3+5*x)+20875*log(2+3*x)-20875*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                       5             4             3             2
+--R           - 101452500x  - 331411500x  - 432864000x  - 282564000x  - 92184000x
+--R         + 
+--R           - 12024000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                     5             4             3             2
+--R           101452500x  + 331411500x  + 432864000x  + 282564000x  + 92184000x
+--R         + 
+--R           12024000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4            3            2
+--R       - 6763500x  - 17810550x  - 17580090x  - 7708553x - 1266855
+--R  /
+--R          5         4         3         2
+--R     4860x  + 15876x  + 20736x  + 13536x  + 4416x + 576
+--R                                                    Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       5             4             3             2
+--R           - 101452500x  - 331411500x  - 432864000x  - 282564000x  - 92184000x
+--R         + 
+--R           - 12024000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                     5             4             3             2
+--R           101452500x  + 331411500x  + 432864000x  + 282564000x  + 92184000x
+--R         + 
+--R           12024000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4            3            2
+--R       - 6763500x  - 17810550x  - 17580090x  - 7708553x - 1266855
+--R  /
+--R          5         4         3         2
+--R     4860x  + 15876x  + 20736x  + 13536x  + 4416x + 576
+--R                                         Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=(1-2*x)/((2+3*x)^6*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R     - 2x + 1
+--R  /
+--R             8         7          6          5          4          3         2
+--R       18225x  + 94770x  + 215541x  + 280044x  + 227340x  + 118080x  + 38320x
+--R     + 
+--R       7104x + 576
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=(-7/5)/(2+3*x)^5+(-17)/(2+3*x)^4+(-505/3)/(2+3*x)^3+_
+     (-1675)/(2+3*x)^2+(-20875)/(2+3*x)+(-6875)/(3+5*x)+_
+     125000*log(2+3*x)-125000*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                        6              5               4               3
+--R           - 2278125000x  - 8960625000x  - 14681250000x  - 12825000000x
+--R         + 
+--R                        2
+--R           - 6300000000x  - 1650000000x - 180000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      6              5               4               3
+--R           2278125000x  + 8960625000x  + 14681250000x  + 12825000000x
+--R         + 
+--R                      2
+--R           6300000000x  + 1650000000x + 180000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5             4             3             2
+--R       - 151875000x  - 501187500x  - 661387500x  - 436271250x  - 143844850x
+--R     + 
+--R       - 18964893
+--R  /
+--R           6         5          4          3         2
+--R     18225x  + 71685x  + 117450x  + 102600x  + 50400x  + 13200x + 1440
+--R                                                    Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                        6              5               4               3
+--R           - 2278125000x  - 8960625000x  - 14681250000x  - 12825000000x
+--R         + 
+--R                        2
+--R           - 6300000000x  - 1650000000x - 180000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      6              5               4               3
+--R           2278125000x  + 8960625000x  + 14681250000x  + 12825000000x
+--R         + 
+--R                      2
+--R           6300000000x  + 1650000000x + 180000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5             4             3             2
+--R       - 151875000x  - 501187500x  - 661387500x  - 436271250x  - 143844850x
+--R     + 
+--R       - 18964893
+--R  /
+--R           6         5          4          3         2
+--R     18225x  + 71685x  + 117450x  + 102600x  + 50400x  + 13200x + 1440
+--R                                         Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=(1-2*x)/((2+3*x)^7*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R     - 2x + 1
+--R  /
+--R             9          8          7           6           5          4
+--R       54675x  + 320760x  + 836163x  + 1271214x  + 1242108x  + 808920x
+--R     + 
+--R              3         2
+--R       351120x  + 97952x  + 15936x + 1152
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=(-7/6)/(2+3*x)^6+(-68/5)/(2+3*x)^5+(-505/4)/(2+3*x)^4+_
+     (-3350/3)/(2+3*x)^3+(-20875/2)/(2+3*x)^2+(-125000)/(2+3*x)+_
+     (-34375)/(3+5*x)+728125*log(2+3*x)-728125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         7                6                5                4
+--R           - 53080312500x  - 244169437500x  - 481261500000x  - 526871250000x
+--R         + 
+--R                          3                2
+--R           - 346005000000x  - 136305000000x  - 29824000000x - 2796000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       7                6                5                4
+--R           53080312500x  + 244169437500x  + 481261500000x  + 526871250000x
+--R         + 
+--R                        3                2
+--R           346005000000x  + 136305000000x  + 29824000000x + 2796000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6               5               4               3
+--R       - 3538687500x  - 14036793750x  - 23195441250x  - 20438672625x
+--R     + 
+--R                     2
+--R       - 10128331755x  - 2676272018x - 294588002
+--R  /
+--R             7          6          5          4          3          2
+--R       72900x  + 335340x  + 660960x  + 723600x  + 475200x  + 187200x  + 40960x
+--R     + 
+--R       3840
+--R                                                    Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         7                6                5                4
+--R           - 53080312500x  - 244169437500x  - 481261500000x  - 526871250000x
+--R         + 
+--R                          3                2
+--R           - 346005000000x  - 136305000000x  - 29824000000x - 2796000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       7                6                5                4
+--R           53080312500x  + 244169437500x  + 481261500000x  + 526871250000x
+--R         + 
+--R                        3                2
+--R           346005000000x  + 136305000000x  + 29824000000x + 2796000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6               5               4               3
+--R       - 3538687500x  - 14036793750x  - 23195441250x  - 20438672625x
+--R     + 
+--R                     2
+--R       - 10128331755x  - 2676272018x - 294588002
+--R  /
+--R             7          6          5          4          3          2
+--R       72900x  + 335340x  + 660960x  + 723600x  + 475200x  + 187200x  + 40960x
+--R     + 
+--R       3840
+--R                                         Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(1-2*x)*(2+3*x)^m/(3+5*x)^3
+--R 
+--R
+--R                             m
+--R           (- 2x + 1)(3x + 2)
+--R   (1)  -------------------------
+--R            3       2
+--R        125x  + 225x  + 135x + 27
+--R                                                    Type: Expression(Integer)
+--E 431
+
+--S 432 of 500
+--r0:=-11/10*(2+3*x)^(1+m)/(3+5*x)^2+1/10*(37-33*m)*(2+3*x)^(1+m)/(3+5*x)+_
+--     3/10*(37-33*m)*m*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 432
+
+--S 433 of 500
+--a0:=integrate(t0,x)
+--E 433
+
+--S 434 of 500
+--m0:=a0-r0
+--E 434
+
+--S 435 of 500
+--d0:=D(m0,x)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(1-2*x)*(2+3*x)^7/(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R              8         7         6         5        4        3        2
+--R       - 4374x  - 18225x  - 30618x  - 24948x  - 7560x  + 3024x  + 3360x  + 1088x
+--R     + 
+--R       128
+--R  /
+--R         3       2
+--R     125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=1851147/390625*x+129654/15625*x^2+2052/3125*x^3-181521/12500*x^4-_
+     51759/3125*x^5-729/125*x^6+(-11/3906250)/(3+5*x)^2+_
+     (-229/1953125)/(3+5*x)+2037/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2                                            8              7
+--R       (203700x  + 244440x + 73332)log(5x + 3) - 1139062500x  - 4601812500x
+--R     + 
+--R                    6              5             4              3              2
+--R       - 7128253125x  - 4439846250x  + 753519375x  + 2916553500x  + 1694131200x
+--R     + 
+--R       333201880x - 2770
+--R  /
+--R               2
+--R     195312500x  + 234375000x + 70312500
+--R                                                    Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                            8              7
+--R       (203700x  + 244440x + 73332)log(5x + 3) - 1139062500x  - 4601812500x
+--R     + 
+--R                    6              5             4              3              2
+--R       - 7128253125x  - 4439846250x  + 753519375x  + 2916553500x  + 1694131200x
+--R     + 
+--R       333201880x - 2770
+--R  /
+--R               2
+--R     195312500x  + 234375000x + 70312500
+--R                                         Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 439
+
+--S 440 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 440
+
+)clear all
+
+--S 441 of 500
+t0:=(1-2*x)*(2+3*x)^6/(3+5*x)^3
+--R 
+--R
+--R               7        6        5        4        2
+--R        - 1458x  - 5103x  - 6804x  - 3780x  + 1008x  + 448x + 64
+--R   (1)  --------------------------------------------------------
+--R                            3       2
+--R                        125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 441
+
+--S 442 of 500
+r0:=36936/15625*x+297/125*x^2-6399/3125*x^3-12393/2500*x^4-_
+     1458/625*x^5+(-11/781250)/(3+5*x)^2+(-196/390625)/(3+5*x)+_
+     1449/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2                                          7             6
+--R       (144900x  + 173880x + 52164)log(5x + 3) - 91125000x  - 302990625x
+--R     + 
+--R                 5            4             3             2
+--R     - 345161250x  - 72883125x  + 174919500x  + 144220500x  + 33238480x - 2374
+--R  /
+--R              2
+--R     39062500x  + 46875000x + 14062500
+--R                                                    Type: Expression(Integer)
+--E 442
+
+--S 443 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                          7             6
+--R       (144900x  + 173880x + 52164)log(5x + 3) - 91125000x  - 302990625x
+--R     + 
+--R                 5            4             3             2
+--R     - 345161250x  - 72883125x  + 174919500x  + 144220500x  + 33238480x - 2374
+--R  /
+--R              2
+--R     39062500x  + 46875000x + 14062500
+--R                                         Type: Union(Expression(Integer),...)
+--E 443
+
+--S 444 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 444
+
+--S 445 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 445
+
+)clear all
+
+--S 446 of 500
+t0:=(1-2*x)*(2+3*x)^5/(3+5*x)^3
+--R 
+--R
+--R              6        5        4       3       2
+--R        - 486x  - 1377x  - 1350x  - 360x  + 240x  + 176x + 32
+--R   (1)  -----------------------------------------------------
+--R                          3       2
+--R                      125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 446
+
+--S 447 of 500
+r0:=3636/3125*x+1971/6250*x^2-837/625*x^3-243/250*x^4+_
+     (-11/156250)/(3+5*x)^2+(-163/78125)/(3+5*x)+192/15625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R              2                                        6           5           4
+--R       (48000x  + 57600x + 17280)log(5x + 3) - 3796875x  - 9787500x  - 6412500x
+--R     + 
+--R               3           2
+--R       4140000x  + 5897475x  + 1634570x - 989
+--R  /
+--R             2
+--R     3906250x  + 4687500x + 1406250
+--R                                                    Type: Expression(Integer)
+--E 447
+
+--S 448 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2                                        6           5           4
+--R       (48000x  + 57600x + 17280)log(5x + 3) - 3796875x  - 9787500x  - 6412500x
+--R     + 
+--R               3           2
+--R       4140000x  + 5897475x  + 1634570x - 989
+--R  /
+--R             2
+--R     3906250x  + 4687500x + 1406250
+--R                                         Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 449
+
+--S 450 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 450
+
+)clear all
+
+--S 451 of 500
+t0:=(1-2*x)*(2+3*x)^4/(3+5*x)^3
+--R 
+--R
+--R              5       4       3      2
+--R        - 162x  - 351x  - 216x  + 24x  + 64x + 16
+--R   (1)  -----------------------------------------
+--R                    3       2
+--R                125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 451
+
+--S 452 of 500
+r0:=1647/3125*x-297/1250*x^2-54/125*x^3+(-11/31250)/(3+5*x)^2+_
+     (-26/3125)/(3+5*x)+114/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R              2                                       5          4         3
+--R       (28500x  + 34200x + 10260)log(5x + 3) - 337500x  - 590625x  + 67500x
+--R     + 
+--R              2
+--R       427275x  + 146930x - 791
+--R  /
+--R            2
+--R     781250x  + 937500x + 281250
+--R                                                    Type: Expression(Integer)
+--E 452
+
+--S 453 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2                                       5          4         3
+--R       (28500x  + 34200x + 10260)log(5x + 3) - 337500x  - 590625x  + 67500x
+--R     + 
+--R              2
+--R       427275x  + 146930x - 791
+--R  /
+--R            2
+--R     781250x  + 937500x + 281250
+--R                                         Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 454
+
+--S 455 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 455
+
+)clear all
+
+--S 456 of 500
+t0:=(1-2*x)*(2+3*x)^3/(3+5*x)^3
+--R 
+--R
+--R             4      3      2
+--R        - 54x  - 81x  - 18x  + 20x + 8
+--R   (1)  ------------------------------
+--R               3       2
+--R           125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 456
+
+--S 457 of 500
+r0:=81/625*x-27/125*x^2+(-11/6250)/(3+5*x)^2+(-97/3125)/(3+5*x)+_
+     279/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R              2                                     4         3         2
+--R       (13950x  + 16740x + 5022)log(5x + 3) - 33750x  - 20250x  + 12150x
+--R     + 
+--R       6320x - 593
+--R  /
+--R            2
+--R     156250x  + 187500x + 56250
+--R                                                    Type: Expression(Integer)
+--E 457
+
+--S 458 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2                                     4         3         2
+--R       (13950x  + 16740x + 5022)log(5x + 3) - 33750x  - 20250x  + 12150x
+--R     + 
+--R       6320x - 593
+--R  /
+--R            2
+--R     156250x  + 187500x + 56250
+--R                                         Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 459
+
+--S 460 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 460
+
+)clear all
+
+--S 461 of 500
+t0:=(1-2*x)*(2+3*x)^2/(3+5*x)^3
+--R 
+--R
+--R               3      2
+--R          - 18x  - 15x  + 4x + 4
+--R   (1)  -------------------------
+--R            3       2
+--R        125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 461
+
+--S 462 of 500
+r0:=-18/125*x+(-11/1250)/(3+5*x)^2+(-64/625)/(3+5*x)+87/625*log(3+5*x)
+--R 
+--R
+--R              2                                   3        2
+--R        (4350x  + 5220x + 1566)log(5x + 3) - 4500x  - 5400x  - 2260x - 395
+--R   (2)  ------------------------------------------------------------------
+--R                                   2
+--R                             31250x  + 37500x + 11250
+--R                                                    Type: Expression(Integer)
+--E 462
+
+--S 463 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              2                                   3        2
+--R        (4350x  + 5220x + 1566)log(5x + 3) - 4500x  - 5400x  - 2260x - 395
+--R   (3)  ------------------------------------------------------------------
+--R                                   2
+--R                             31250x  + 37500x + 11250
+--R                                         Type: Union(Expression(Integer),...)
+--E 463
+
+--S 464 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 464
+
+--S 465 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 465
+
+)clear all
+
+--S 466 of 500
+t0:=(1-2*x)*(2+3*x)/(3+5*x)^3
+--R 
+--R
+--R                  2
+--R              - 6x  - x + 2
+--R   (1)  -------------------------
+--R            3       2
+--R        125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 466
+
+--S 467 of 500
+r0:=(-11/250)/(3+5*x)^2+(-31/125)/(3+5*x)-6/125*log(3+5*x)
+--R 
+--R
+--R               2
+--R        (- 300x  - 360x - 108)log(5x + 3) - 310x - 197
+--R   (2)  ----------------------------------------------
+--R                          2
+--R                     6250x  + 7500x + 2250
+--R                                                    Type: Expression(Integer)
+--E 467
+
+--S 468 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R               2
+--R        (- 300x  - 360x - 108)log(5x + 3) - 310x - 197
+--R   (3)  ----------------------------------------------
+--R                          2
+--R                     6250x  + 7500x + 2250
+--R                                         Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 469
+
+--S 470 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 470
+
+)clear all
+
+--S 471 of 500
+t0:=(1-2*x)/(3+5*x)^3
+--R 
+--R
+--R                 - 2x + 1
+--R   (1)  -------------------------
+--R            3       2
+--R        125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 471
+
+--S 472 of 500
+r0:=-1/22*(1-2*x)^2/(3+5*x)^2
+--R 
+--R
+--R           2   2    2       1
+--R        - --- x  + --- x - ---
+--R          275      275     550
+--R   (2)  ----------------------
+--R              2   6      9
+--R             x  + - x + --
+--R                  5     25
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 472
+
+--S 473 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R               20x + 1
+--R   (3)  --------------------
+--R             2
+--R        1250x  + 1500x + 450
+--R                                         Type: Union(Expression(Integer),...)
+--E 473
+
+--S 474 of 500
+m0:=a0-r0
+--R 
+--R
+--R         2
+--R   (4)  ---
+--R        275
+--R                                                    Type: Expression(Integer)
+--E 474
+
+--S 475 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 475
+
+)clear all
+
+--S 476 of 500
+t0:=(1-2*x)/((2+3*x)*(3+5*x)^3)
+--R 
+--R
+--R                     - 2x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        375x  + 925x  + 855x  + 351x + 54
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 476
+
+--S 477 of 500
+r0:=(-11/10)/(3+5*x)^2+7/(3+5*x)-21*log(2+3*x)+21*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R             2                                      2
+--R       (5250x  + 6300x + 1890)log(5x + 3) + (- 5250x  - 6300x - 1890)log(3x + 2)
+--R     + 
+--R       350x + 199
+--R  /
+--R         2
+--R     250x  + 300x + 90
+--R                                                    Type: Expression(Integer)
+--E 477
+
+--S 478 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R             2                                      2
+--R       (5250x  + 6300x + 1890)log(5x + 3) + (- 5250x  - 6300x - 1890)log(3x + 2)
+--R     + 
+--R       350x + 199
+--R  /
+--R         2
+--R     250x  + 300x + 90
+--R                                         Type: Union(Expression(Integer),...)
+--E 478
+
+--S 479 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 479
+
+--S 480 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 480
+
+)clear all
+
+--S 481 of 500
+t0:=(1-2*x)/((2+3*x)^2*(3+5*x)^3)
+--R 
+--R
+--R                           - 2x + 1
+--R   (1)  ----------------------------------------------
+--R             5        4        3        2
+--R        1125x  + 3525x  + 4415x  + 2763x  + 864x + 108
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 481
+
+--S 482 of 500
+r0:=21/(2+3*x)+(-11/2)/(3+5*x)^2+68/(3+5*x)-309*log(2+3*x)+309*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R              3         2
+--R       (46350x  + 86520x  + 53766x + 11124)log(5x + 3)
+--R     + 
+--R              3         2                                     2
+--R     (- 46350x  - 86520x  - 53766x - 11124)log(3x + 2) + 3090x  + 3811x + 1172
+--R  /
+--R         3       2
+--R     150x  + 280x  + 174x + 36
+--R                                                    Type: Expression(Integer)
+--E 482
+
+--S 483 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              3         2
+--R       (46350x  + 86520x  + 53766x + 11124)log(5x + 3)
+--R     + 
+--R              3         2                                     2
+--R     (- 46350x  - 86520x  - 53766x - 11124)log(3x + 2) + 3090x  + 3811x + 1172
+--R  /
+--R         3       2
+--R     150x  + 280x  + 174x + 36
+--R                                         Type: Union(Expression(Integer),...)
+--E 483
+
+--S 484 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 484
+
+--S 485 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 485
+
+)clear all
+
+--S 486 of 500
+t0:=(1-2*x)/((2+3*x)^3*(3+5*x)^3)
+--R 
+--R
+--R                                  - 2x + 1
+--R   (1)  -----------------------------------------------------------
+--R             6         5         4         3        2
+--R        3375x  + 12825x  + 20295x  + 17119x  + 8118x  + 2052x + 216
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 486
+
+--S 487 of 500
+r0:=21/2/(2+3*x)^2+309/(2+3*x)+(-55/2)/(3+5*x)^2+505/(3+5*x)-_
+     3060*log(2+3*x)+3060*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                4           3           2
+--R       (1377000x  + 3488400x  + 3310920x  + 1395360x + 220320)log(5x + 3)
+--R     + 
+--R                  4           3           2
+--R       (- 1377000x  - 3488400x  - 3310920x  - 1395360x - 220320)log(3x + 2)
+--R     + 
+--R             3          2
+--R       91800x  + 174420x  + 110296x + 23213
+--R  /
+--R         4        3        2
+--R     450x  + 1140x  + 1082x  + 456x + 72
+--R                                                    Type: Expression(Integer)
+--E 487
+
+--S 488 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                4           3           2
+--R       (1377000x  + 3488400x  + 3310920x  + 1395360x + 220320)log(5x + 3)
+--R     + 
+--R                  4           3           2
+--R       (- 1377000x  - 3488400x  - 3310920x  - 1395360x - 220320)log(3x + 2)
+--R     + 
+--R             3          2
+--R       91800x  + 174420x  + 110296x + 23213
+--R  /
+--R         4        3        2
+--R     450x  + 1140x  + 1082x  + 456x + 72
+--R                                         Type: Union(Expression(Integer),...)
+--E 488
+
+--S 489 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 489
+
+--S 490 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 490
+
+)clear all
+
+--S 491 of 500
+t0:=(1-2*x)/((2+3*x)^4*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R                                   - 2x + 1
+--R   -----------------------------------------------------------------------
+--R         7         6         5         4         3         2
+--R   10125x  + 45225x  + 86535x  + 91947x  + 58592x  + 22392x  + 4752x + 432
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 491
+
+--S 492 of 500
+r0:=7/(2+3*x)^3+309/2/(2+3*x)^2+3060/(2+3*x)+(-275/2)/(3+5*x)^2+3350/(3+5*x)-_
+     25350*log(2+3*x)+25350*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                    5             4             3            2
+--R           34222500x  + 109512000x  + 140084100x  + 89536200x  + 28594800x
+--R         + 
+--R           3650400
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      5             4             3            2
+--R           - 34222500x  - 109512000x  - 140084100x  - 89536200x  - 28594800x
+--R         + 
+--R           - 3650400
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               4           3           2
+--R       2281500x  + 5855850x  + 5631080x  + 2404363x + 384608
+--R  /
+--R          5        4        3        2
+--R     1350x  + 4320x  + 5526x  + 3532x  + 1128x + 144
+--R                                                    Type: Expression(Integer)
+--E 492
+
+--S 493 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                    5             4             3            2
+--R           34222500x  + 109512000x  + 140084100x  + 89536200x  + 28594800x
+--R         + 
+--R           3650400
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      5             4             3            2
+--R           - 34222500x  - 109512000x  - 140084100x  - 89536200x  - 28594800x
+--R         + 
+--R           - 3650400
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               4           3           2
+--R       2281500x  + 5855850x  + 5631080x  + 2404363x + 384608
+--R  /
+--R          5        4        3        2
+--R     1350x  + 4320x  + 5526x  + 3532x  + 1128x + 144
+--R                                         Type: Union(Expression(Integer),...)
+--E 493
+
+--S 494 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 494
+
+--S 495 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 495
+
+)clear all
+
+--S 496 of 500
+t0:=(1-2*x)/((2+3*x)^5*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R     - 2x + 1
+--R  /
+--R             8          7          6          5          4          3         2
+--R       30375x  + 155925x  + 350055x  + 448911x  + 359670x  + 184360x  + 59040x
+--R     + 
+--R       10800x + 864
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 496
+
+--S 497 of 500
+r0:=21/4/(2+3*x)^4+103/(2+3*x)^3+1530/(2+3*x)^2+25350/(2+3*x)+_
+     (-1375/2)/(3+5*x)^2+20875/(3+5*x)-189375*log(2+3*x)+189375*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                      6              5              4              3
+--R           1533937500x  + 5931225000x  + 9551317500x  + 8199180000x
+--R         + 
+--R                      2
+--R           3957180000x  + 1018080000x + 109080000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                        6              5              4              3
+--R           - 1533937500x  - 5931225000x  - 9551317500x  - 8199180000x
+--R         + 
+--R                        2
+--R           - 3957180000x  - 1018080000x - 109080000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 5             4             3             2
+--R       102262500x  + 330648750x  + 427381500x  + 276035525x  + 89085434x
+--R     + 
+--R       11492725
+--R  /
+--R          6         5         4         3         2
+--R     8100x  + 31320x  + 50436x  + 43296x  + 20896x  + 5376x + 576
+--R                                                    Type: Expression(Integer)
+--E 497
+
+--S 498 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      6              5              4              3
+--R           1533937500x  + 5931225000x  + 9551317500x  + 8199180000x
+--R         + 
+--R                      2
+--R           3957180000x  + 1018080000x + 109080000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                        6              5              4              3
+--R           - 1533937500x  - 5931225000x  - 9551317500x  - 8199180000x
+--R         + 
+--R                        2
+--R           - 3957180000x  - 1018080000x - 109080000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 5             4             3             2
+--R       102262500x  + 330648750x  + 427381500x  + 276035525x  + 89085434x
+--R     + 
+--R       11492725
+--R  /
+--R          6         5         4         3         2
+--R     8100x  + 31320x  + 50436x  + 43296x  + 20896x  + 5376x + 576
+--R                                         Type: Union(Expression(Integer),...)
+--E 498
+
+--S 499 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 499
+
+--S 500 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 500
+
+)spool
+)lisp (bye)
+
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/rich3d.input.pdf b/src/axiom-website/CATS/rich3d.input.pdf
new file mode 100644
index 0000000..727fc1b
Binary files /dev/null and b/src/axiom-website/CATS/rich3d.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3e.input.pamphlet b/src/axiom-website/CATS/rich3e.input.pamphlet
new file mode 100644
index 0000000..9146b9c
--- /dev/null
+++ b/src/axiom-website/CATS/rich3e.input.pamphlet
@@ -0,0 +1,6307 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3e.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 249 integrals in this file.
+\item 249 supplied "optimal results".
+\item 230 matching answers.
+\item 24 cases where Axiom supplied 2 results.
+\item 34 cases that Axiom failed to integrate.
+\item 6 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3e.output
+)spool rich3e.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(1-2*x)/((2+3*x)^6*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R     - 2x + 1
+--R  /
+--R             9          8           7           6           5           4
+--R       91125x  + 528525x  + 1362015x  + 2046843x  + 1976832x  + 1272420x
+--R     + 
+--R              3          2
+--R       545840x  + 150480x  + 24192x + 1728
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1
+
+--S 2 of 500
+r0:=21/5/(2+3*x)^5+309/4/(2+3*x)^4+1020/(2+3*x)^3+12675/(2+3*x)^2+_
+     189375/(2+3*x)+(-6875/2)/(3+5*x)^2+125000/(3+5*x)-_
+     1321875*log(2+3*x)+1321875*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                        7                6                 5                 4
+--R           160607812500x  + 728088750000x  + 1414062562500x  + 1525179375000x
+--R         + 
+--R                        3                2
+--R           986647500000x  + 382815000000x  + 82485000000x + 7614000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          7                6                 5                 4
+--R           - 160607812500x  - 728088750000x  - 1414062562500x  - 1525179375000x
+--R         + 
+--R                          3                2
+--R           - 986647500000x  - 382815000000x  - 82485000000x - 7614000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   6               5               4               3
+--R       10707187500x  + 41758031250x  + 67828050000x  + 58733814375x
+--R     + 
+--R                   2
+--R       28595335800x  + 7421662135x + 802214966
+--R  /
+--R              7          6           5           4          3          2
+--R       121500x  + 550800x  + 1069740x  + 1153800x  + 746400x  + 289600x
+--R     + 
+--R       62400x + 5760
+--R                                                    Type: Expression(Integer)
+--E 2
+
+--S 3 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                        7                6                 5                 4
+--R           160607812500x  + 728088750000x  + 1414062562500x  + 1525179375000x
+--R         + 
+--R                        3                2
+--R           986647500000x  + 382815000000x  + 82485000000x + 7614000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          7                6                 5                 4
+--R           - 160607812500x  - 728088750000x  - 1414062562500x  - 1525179375000x
+--R         + 
+--R                          3                2
+--R           - 986647500000x  - 382815000000x  - 82485000000x - 7614000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   6               5               4               3
+--R       10707187500x  + 41758031250x  + 67828050000x  + 58733814375x
+--R     + 
+--R                   2
+--R       28595335800x  + 7421662135x + 802214966
+--R  /
+--R              7          6           5           4          3          2
+--R       121500x  + 550800x  + 1069740x  + 1153800x  + 746400x  + 289600x
+--R     + 
+--R       62400x + 5760
+--R                                         Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 4
+
+--S 5 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(1-2*x)^2*(2+3*x)^8*(3+5*x)
+--R 
+--R
+--R   (1)
+--R            11          10           9           8          7          6
+--R     131220x   + 647352x   + 1307097x  + 1298835x  + 476928x  - 275184x
+--R   + 
+--R              5          4         3         2
+--R     - 372960x  - 134112x  + 12800x  + 24832x  + 7424x + 768
+--R                                                    Type: Polynomial(Integer)
+--E 6
+
+--S 7 of 500
+r0:=-49/729*(2+3*x)^9+91/270*(2+3*x)^10-16/99*(2+3*x)^11+5/243*(2+3*x)^12
+--R 
+--R
+--R   (2)
+--R           12   647352  11   1307097  10          9         8         7
+--R     10935x   + ------ x   + ------- x   + 144315x  + 59616x  - 39312x
+--R                  11            10
+--R   + 
+--R             6   134112  5        4   24832  3        2          2566144
+--R     - 62160x  - ------ x  + 3200x  + ----- x  + 3712x  + 768x + -------
+--R                    5                   3                         40095
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 7
+
+--S 8 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           12   647352  11   1307097  10          9         8         7
+--R     10935x   + ------ x   + ------- x   + 144315x  + 59616x  - 39312x
+--R                  11            10
+--R   + 
+--R             6   134112  5        4   24832  3        2
+--R     - 62160x  - ------ x  + 3200x  + ----- x  + 3712x  + 768x
+--R                    5                   3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 8
+
+--S 9 of 500
+m0:=a0-r0
+--R 
+--R
+--R          2566144
+--R   (4)  - -------
+--R           40095
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 9
+
+--S 10 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(1-2*x)^2*(2+3*x)^7*(3+5*x)
+--R 
+--R
+--R   (1)
+--R           10          9          8          7        6         5         4
+--R     43740x   + 186624x  + 311283x  + 225423x  + 8694x  - 97524x  - 59304x
+--R   + 
+--R            3        2
+--R     - 5168x  + 7712x  + 3136x + 384
+--R                                                    Type: Polynomial(Integer)
+--E 11
+
+--S 12 of 500
+r0:=-49/648*(2+3*x)^8+91/243*(2+3*x)^9-8/45*(2+3*x)^10+20/891*(2+3*x)^11
+--R 
+--R
+--R   (2)
+--R     43740  11   93312  10         9   225423  8        7         6   59304  5
+--R     ----- x   + ----- x   + 34587x  + ------ x  + 1242x  - 16254x  - ----- x
+--R       11          5                      8                             5
+--R   + 
+--R            4   7712  3        2          485216
+--R     - 1292x  + ---- x  + 1568x  + 384x + ------
+--R                  3                        13365
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     43740  11   93312  10         9   225423  8        7         6   59304  5
+--R     ----- x   + ----- x   + 34587x  + ------ x  + 1242x  - 16254x  - ----- x
+--R       11          5                      8                             5
+--R   + 
+--R            4   7712  3        2
+--R     - 1292x  + ---- x  + 1568x  + 384x
+--R                  3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R 
+--R
+--R          485216
+--R   (4)  - ------
+--R           13365
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 14
+
+--S 15 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(1-2*x)^2*(2+3*x)^6*(3+5*x)
+--R 
+--R
+--R   (1)
+--R           9         8         7         6         5         4        3        2
+--R     14580x  + 52488x  + 68769x  + 29295x  - 16632x  - 21420x  - 5488x  + 1936x
+--R   + 
+--R     1280x + 192
+--R                                                    Type: Polynomial(Integer)
+--E 16
+
+--S 17 of 500
+r0:=192*x+640*x^2+1936/3*x^3-1372*x^4-4284*x^5-2772*x^6+4185*x^7+_
+     68769/8*x^8+5832*x^9+1458*x^10
+--R 
+--R
+--R   (2)
+--R          10        9   68769  8        7        6        5        4   1936  3
+--R     1458x   + 5832x  + ----- x  + 4185x  - 2772x  - 4284x  - 1372x  + ---- x
+--R                          8                                              3
+--R   + 
+--R         2
+--R     640x  + 192x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R          10        9   68769  8        7        6        5        4   1936  3
+--R     1458x   + 5832x  + ----- x  + 4185x  - 2772x  - 4284x  - 1372x  + ---- x
+--R                          8                                              3
+--R   + 
+--R         2
+--R     640x  + 192x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(1-2*x)^2*(2+3*x)^5*(3+5*x)
+--R 
+--R
+--R   (1)
+--R        8         7         6       5        4        3       2
+--R   4860x  + 14256x  + 13419x  + 819x  - 6090x  - 3080x  + 224x  + 496x + 96
+--R                                                    Type: Polynomial(Integer)
+--E 21
+
+--S 22 of 500
+r0:=96*x+248*x^2+224/3*x^3-770*x^4-1218*x^5+273/2*x^6+1917*x^7+1782*x^8+540*x^9
+--R 
+--R
+--R   (2)
+--R       9        8        7   273  6        5       4   224  3       2
+--R   540x  + 1782x  + 1917x  + --- x  - 1218x  - 770x  + --- x  + 248x  + 96x
+--R                              2                         3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       9        8        7   273  6        5       4   224  3       2
+--R   540x  + 1782x  + 1917x  + --- x  - 1218x  - 770x  + --- x  + 248x  + 96x
+--R                              2                         3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(1-2*x)^2*(2+3*x)^4*(3+5*x)
+--R 
+--R
+--R             7        6        5        4        3       2
+--R   (1)  1620x  + 3672x  + 2025x  - 1077x  - 1312x  - 152x  + 176x + 48
+--R                                                    Type: Polynomial(Integer)
+--E 26
+
+--S 27 of 500
+r0:=48*x+88*x^2-152/3*x^3-328*x^4-1077/5*x^5+675/2*x^6+3672/7*x^7+405/2*x^8
+--R 
+--R
+--R        405  8   3672  7   675  6   1077  5       4   152  3      2
+--R   (2)  --- x  + ---- x  + --- x  - ---- x  - 328x  - --- x  + 88x  + 48x
+--R         2         7        2         5                3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        405  8   3672  7   675  6   1077  5       4   152  3      2
+--R   (3)  --- x  + ---- x  + --- x  - ---- x  - 328x  - --- x  + 88x  + 48x
+--R         2         7        2         5                3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(1-2*x)^2*(2+3*x)^3*(3+5*x)
+--R 
+--R
+--R            6       5      4       3       2
+--R   (1)  540x  + 864x  + 99x  - 425x  - 154x  + 52x + 24
+--R                                                    Type: Polynomial(Integer)
+--E 31
+
+--S 32 of 500
+r0:=24*x+26*x^2-154/3*x^3-425/4*x^4+99/5*x^5+144*x^6+540/7*x^7
+--R 
+--R
+--R        540  7       6   99  5   425  4   154  3      2
+--R   (2)  --- x  + 144x  + -- x  - --- x  - --- x  + 26x  + 24x
+--R         7                5       4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        540  7       6   99  5   425  4   154  3      2
+--R   (3)  --- x  + 144x  + -- x  - --- x  - --- x  + 26x  + 24x
+--R         7                5       4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(1-2*x)^2*(2+3*x)^2*(3+5*x)
+--R 
+--R
+--R            5       4      3      2
+--R   (1)  180x  + 168x  - 79x  - 89x  + 8x + 12
+--R                                                    Type: Polynomial(Integer)
+--E 36
+
+--S 37 of 500
+r0:=12*x+4*x^2-89/3*x^3-79/4*x^4+168/5*x^5+30*x^6
+--R 
+--R
+--R           6   168  5   79  4   89  3     2
+--R   (2)  30x  + --- x  - -- x  - -- x  + 4x  + 12x
+--R                5        4       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R           6   168  5   79  4   89  3     2
+--R   (3)  30x  + --- x  - -- x  - -- x  + 4x  + 12x
+--R                5        4       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(1-2*x)^2*(2+3*x)*(3+5*x)
+--R 
+--R
+--R           4      3      2
+--R   (1)  60x  + 16x  - 37x  - 5x + 6
+--R                                                    Type: Polynomial(Integer)
+--E 41
+
+--S 42 of 500
+r0:=6*x-5/2*x^2-37/3*x^3+4*x^4+12*x^5
+--R 
+--R
+--R           5     4   37  3   5  2
+--R   (2)  12x  + 4x  - -- x  - - x  + 6x
+--R                      3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R           5     4   37  3   5  2
+--R   (3)  12x  + 4x  - -- x  - - x  + 6x
+--R                      3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(1-2*x)^2*(3+5*x)
+--R 
+--R
+--R           3     2
+--R   (1)  20x  - 8x  - 7x + 3
+--R                                                    Type: Polynomial(Integer)
+--E 46
+
+--S 47 of 500
+r0:=3*x-7/2*x^2-8/3*x^3+5*x^4
+--R 
+--R
+--R          4   8  3   7  2
+--R   (2)  5x  - - x  - - x  + 3x
+--R              3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          4   8  3   7  2
+--R   (3)  5x  - - x  - - x  + 3x
+--R              3      2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)
+--R 
+--R
+--R           3     2
+--R        20x  - 8x  - 7x + 3
+--R   (1)  -------------------
+--R               3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 51
+
+--S 52 of 500
+r0:=65/27*x-32/9*x^2+20/9*x^3-49/81*log(2+3*x)
+--R 
+--R
+--R                              3       2
+--R        - 49log(3x + 2) + 180x  - 288x  + 195x
+--R   (2)  --------------------------------------
+--R                          81
+--R                                                    Type: Expression(Integer)
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                              3       2
+--R        - 49log(3x + 2) + 180x  - 288x  + 195x
+--R   (3)  --------------------------------------
+--R                          81
+--R                                         Type: Union(Expression(Integer),...)
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^2
+--R 
+--R
+--R           3     2
+--R        20x  - 8x  - 7x + 3
+--R   (1)  -------------------
+--R             2
+--R           9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 56
+
+--S 57 of 500
+r0:=-104/27*x+10/9*x^2+49/81/(2+3*x)+91/27*log(2+3*x)
+--R 
+--R
+--R                                      3       2
+--R        (819x + 546)log(3x + 2) + 270x  - 756x  - 624x + 49
+--R   (2)  ---------------------------------------------------
+--R                             243x + 162
+--R                                                    Type: Expression(Integer)
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                      3       2
+--R        (819x + 546)log(3x + 2) + 270x  - 756x  - 624x + 49
+--R   (3)  ---------------------------------------------------
+--R                             243x + 162
+--R                                         Type: Union(Expression(Integer),...)
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^3
+--R 
+--R
+--R            3     2
+--R         20x  - 8x  - 7x + 3
+--R   (1)  ---------------------
+--R           3      2
+--R        27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=20/27*x+49/162/(2+3*x)^2+(-91/27)/(2+3*x)-16/9*log(2+3*x)
+--R 
+--R
+--R                2                                   3        2
+--R        (- 2592x  - 3456x - 1152)log(3x + 2) + 1080x  + 1440x  - 1158x - 1043
+--R   (2)  ---------------------------------------------------------------------
+--R                                      2
+--R                                 1458x  + 1944x + 648
+--R                                                    Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                2                                   3        2
+--R        (- 2592x  - 3456x - 1152)log(3x + 2) + 1080x  + 1440x  - 1158x - 1043
+--R   (3)  ---------------------------------------------------------------------
+--R                                      2
+--R                                 1458x  + 1944x + 648
+--R                                         Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^4
+--R 
+--R
+--R                 3     2
+--R              20x  - 8x  - 7x + 3
+--R   (1)  -------------------------------
+--R           4       3       2
+--R        81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=49/243/(2+3*x)^3+(-91/54)/(2+3*x)^2+16/9/(2+3*x)+20/81*log(2+3*x)
+--R 
+--R
+--R              3        2                                  2
+--R        (3240x  + 6480x  + 4320x + 960)log(3x + 2) + 7776x  + 7911x + 1916
+--R   (2)  ------------------------------------------------------------------
+--R                               3         2
+--R                         13122x  + 26244x  + 17496x + 3888
+--R                                                    Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              3        2                                  2
+--R        (3240x  + 6480x  + 4320x + 960)log(3x + 2) + 7776x  + 7911x + 1916
+--R   (3)  ------------------------------------------------------------------
+--R                               3         2
+--R                         13122x  + 26244x  + 17496x + 3888
+--R                                         Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^5
+--R 
+--R
+--R                       3     2
+--R                    20x  - 8x  - 7x + 3
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=1/84*(1-2*x)^3/(2+3*x)^4-23/294*(1-2*x)^3/(2+3*x)^3
+--R 
+--R
+--R         92   4    244   3    16   2    31        85
+--R        ---- x  - ----- x  - ---- x  + ---- x - -----
+--R        3969      11907      3969      3969     47628
+--R   (2)  ---------------------------------------------
+--R                  4   8  3   8  2   32     16
+--R                 x  + - x  + - x  + -- x + --
+--R                      3      3      27     81
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                      3        2
+--R               - 2160x  - 1728x  - 516x - 167
+--R   (3)  -------------------------------------------
+--R              4         3         2
+--R        26244x  + 69984x  + 69984x  + 31104x + 5184
+--R                                         Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R 
+--R
+--R           92
+--R   (4)  - ----
+--R          3969
+--R                                                    Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^6
+--R 
+--R
+--R                            3     2
+--R                         20x  - 8x  - 7x + 3
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=49/405/(2+3*x)^5+(-91/108)/(2+3*x)^4+16/27/(2+3*x)^3+(-10/81)/(2+3*x)^2
+--R 
+--R
+--R              10  3    4   2     5        49
+--R           - --- x  - --- x  + ---- x - -----
+--R             729      729      8748     65610
+--R   (2)  ---------------------------------------
+--R         5   10  4   40  3   80  2   80      32
+--R        x  + -- x  + -- x  + -- x  + -- x + ---
+--R              3       9      27      81     243
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               3       2
+--R                        - 1800x  - 720x  + 75x - 98
+--R   (3)  -----------------------------------------------------------
+--R               5          4          3          2
+--R        131220x  + 437400x  + 583200x  + 388800x  + 129600x + 17280
+--R                                         Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^7
+--R 
+--R
+--R                                    3     2
+--R                                 20x  - 8x  - 7x + 3
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=49/486/(2+3*x)^6+(-91/135)/(2+3*x)^5+4/9/(2+3*x)^4+(-20/243)/(2+3*x)^3
+--R 
+--R
+--R               20   3     4   2     47        311
+--R            - ---- x  - ---- x  + ----- x - -------
+--R              6561      6561      98415     1771470
+--R   (2)  ----------------------------------------------
+--R         6     5   20  4   160  3   80  2   64      64
+--R        x  + 4x  + -- x  + --- x  + -- x  + -- x + ---
+--R                    3       27      27      81     729
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            3        2
+--R     - 5400x  - 1080x  + 846x - 311
+--R  /
+--R               6           5            4            3           2
+--R       1771470x  + 7085880x  + 11809800x  + 10497600x  + 5248800x  + 1399680x
+--R     + 
+--R       155520
+--R                                         Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R        3     2
+--R     20x  - 8x  - 7x + 3
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 86
+
+--S 87 of 500
+r0:=7/81/(2+3*x)^7+(-91/162)/(2+3*x)^6+16/45/(2+3*x)^5+(-5/81)/(2+3*x)^4
+--R 
+--R
+--R                      5   3     2    2     97         44
+--R                  - ---- x  - ----- x  + ------ x - ------
+--R                    6561      32805      590490     885735
+--R   (2)  ------------------------------------------------------------
+--R         7   14  6   28  5   280  4   560  3   224  2   448      128
+--R        x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R              3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 87
+
+--S 88 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            3       2
+--R     - 1350x  - 108x  + 291x - 88
+--R  /
+--R               7           6            5            4            3           2
+--R       1771470x  + 8266860x  + 16533720x  + 18370800x  + 12247200x  + 4898880x
+--R     + 
+--R       1088640x + 103680
+--R                                         Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 89
+
+--S 90 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(1-2*x)^2*(2+3*x)^8*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R            12           11           10            9           8         7
+--R     656100x   + 3630420x   + 8477541x   + 10415466x  + 6281145x  + 54864x
+--R   + 
+--R               6           5          4          3          2
+--R     - 2690352x  - 1789440x  - 338336x  + 162560x  + 111616x  + 26112x + 2304
+--R                                                    Type: Polynomial(Integer)
+--E 91
+
+--S 92 of 500
+r0:=49/2187*(2+3*x)^9-259/1215*(2+3*x)^10+503/891*(2+3*x)^11-_
+     185/729*(2+3*x)^12+100/3159*(2+3*x)^13
+--R 
+--R
+--R   (2)
+--R     656100  13          12   8477541  11   5207733  10          9        8
+--R     ------ x   + 302535x   + ------- x   + ------- x   + 697905x  + 6858x
+--R       13                        11            5
+--R   + 
+--R              7          6   338336  5         4   111616  3         2
+--R     - 384336x  - 298240x  - ------ x  + 40640x  + ------ x  + 13056x  + 2304x
+--R                                5                     3
+--R   + 
+--R     264616448
+--R     ---------
+--R      1563705
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     656100  13          12   8477541  11   5207733  10          9        8
+--R     ------ x   + 302535x   + ------- x   + ------- x   + 697905x  + 6858x
+--R       13                        11            5
+--R   + 
+--R              7          6   338336  5         4   111616  3         2
+--R     - 384336x  - 298240x  - ------ x  + 40640x  + ------ x  + 13056x  + 2304x
+--R                                5                     3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R 
+--R
+--R          264616448
+--R   (4)  - ---------
+--R           1563705
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 94
+
+--S 95 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(1-2*x)^2*(2+3*x)^7*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R            11           10           9           8          7          6
+--R     218700x   + 1064340x   + 2116287x  + 2060964x  + 719739x  - 461538x
+--R   + 
+--R              5          4         3         2
+--R     - 589092x  - 203752x  + 23056x  + 38816x  + 11328x + 1152
+--R                                                    Type: Polynomial(Integer)
+--E 96
+
+--S 97 of 500
+r0:=1152*x+5664*x^2+38816/3*x^3+5764*x^4-203752/5*x^5-98182*x^6-65934*x^7+_
+     719739/8*x^8+228996*x^9+2116287/10*x^10+1064340/11*x^11+18225*x^12
+--R 
+--R
+--R   (2)
+--R           12   1064340  11   2116287  10          9   719739  8         7
+--R     18225x   + ------- x   + ------- x   + 228996x  + ------ x  - 65934x
+--R                   11            10                       8
+--R   + 
+--R             6   203752  5        4   38816  3        2
+--R     - 98182x  - ------ x  + 5764x  + ----- x  + 5664x  + 1152x
+--R                    5                   3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           12   1064340  11   2116287  10          9   719739  8         7
+--R     18225x   + ------- x   + ------- x   + 228996x  + ------ x  - 65934x
+--R                   11            10                       8
+--R   + 
+--R             6   203752  5        4   38816  3        2
+--R     - 98182x  - ------ x  + 5764x  + ----- x  + 5664x  + 1152x
+--R                    5                   3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(1-2*x)^2*(2+3*x)^6*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R           10          9          8          7        6          5         4
+--R     72900x   + 306180x  + 501309x  + 352782x  + 4725x  - 156996x  - 91700x
+--R   + 
+--R            3         2
+--R     - 6784x  + 12208x  + 4800x + 576
+--R                                                    Type: Polynomial(Integer)
+--E 101
+
+--S 102 of 500
+r0:=576*x+2400*x^2+12208/3*x^3-1696*x^4-18340*x^5-26166*x^6+675*x^7+_
+     176391/4*x^8+55701*x^9+30618*x^10+72900/11*x^11
+--R 
+--R
+--R   (2)
+--R     72900  11         10         9   176391  8       7         6         5
+--R     ----- x   + 30618x   + 55701x  + ------ x  + 675x  - 26166x  - 18340x
+--R       11                                4
+--R   + 
+--R            4   12208  3        2
+--R     - 1696x  + ----- x  + 2400x  + 576x
+--R                  3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     72900  11         10         9   176391  8       7         6         5
+--R     ----- x   + 30618x   + 55701x  + ------ x  + 675x  - 26166x  - 18340x
+--R       11                                4
+--R   + 
+--R            4   12208  3        2
+--R     - 1696x  + ----- x  + 2400x  + 576x
+--R                  3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(1-2*x)^2*(2+3*x)^5*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R           9         8          7         6         5         4        3
+--R     24300x  + 85860x  + 109863x  + 44352x  - 27993x  - 33670x  - 8120x
+--R   + 
+--R          2
+--R     3152x  + 1968x + 288
+--R                                                    Type: Polynomial(Integer)
+--E 106
+
+--S 107 of 500
+r0:=288*x+984*x^2+3152/3*x^3-2030*x^4-6734*x^5-9331/2*x^6+6336*x^7+_
+     109863/8*x^8+9540*x^9+2430*x^10
+--R 
+--R
+--R   (2)
+--R          10        9   109863  8        7   9331  6        5        4   3152  3
+--R     2430x   + 9540x  + ------ x  + 6336x  - ---- x  - 6734x  - 2030x  + ---- x
+--R                           8                   2                           3
+--R   + 
+--R         2
+--R     984x  + 288x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R          10        9   109863  8        7   9331  6        5        4   3152  3
+--R     2430x   + 9540x  + ------ x  + 6336x  - ---- x  - 6734x  - 2030x  + ---- x
+--R                           8                   2                           3
+--R   + 
+--R         2
+--R     984x  + 288x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(1-2*x)^2*(2+3*x)^4*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R        8         7         6       5        4        3       2
+--R   8100x  + 23220x  + 21141x  + 690x  - 9791x  - 4696x  + 424x  + 768x + 144
+--R                                                    Type: Polynomial(Integer)
+--E 111
+
+--S 112 of 500
+r0:=144*x+384*x^2+424/3*x^3-1174*x^4-9791/5*x^5+115*x^6+21141/7*x^7+_
+     5805/2*x^8+900*x^9
+--R 
+--R
+--R   (2)
+--R       9   5805  8   21141  7       6   9791  5        4   424  3       2
+--R   900x  + ---- x  + ----- x  + 115x  - ---- x  - 1174x  + --- x  + 384x  + 144x
+--R             2         7                  5                 3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       9   5805  8   21141  7       6   9791  5        4   424  3       2
+--R   900x  + ---- x  + ----- x  + 115x  - ---- x  - 1174x  + --- x  + 384x  + 144x
+--R             2         7                  5                 3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(1-2*x)^2*(2+3*x)^3*(3+5*x)^2
+--R 
+--R
+--R             7        6        5        4        3       2
+--R   (1)  2700x  + 5940x  + 3087x  - 1828x  - 2045x  - 202x  + 276x + 72
+--R                                                    Type: Polynomial(Integer)
+--E 116
+
+--S 117 of 500
+r0:=72*x+138*x^2-202/3*x^3-2045/4*x^4-1828/5*x^5+1029/2*x^6+5940/7*x^7+_
+     675/2*x^8
+--R 
+--R
+--R        675  8   5940  7   1029  6   1828  5   2045  4   202  3       2
+--R   (2)  --- x  + ---- x  + ---- x  - ---- x  - ---- x  - --- x  + 138x  + 72x
+--R         2         7         2         5         4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        675  8   5940  7   1029  6   1828  5   2045  4   202  3       2
+--R   (3)  --- x  + ---- x  + ---- x  - ---- x  - ---- x  - --- x  + 138x  + 72x
+--R         2         7         2         5         4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(1-2*x)^2*(2+3*x)^2*(3+5*x)^2
+--R 
+--R
+--R            6        5       4       3       2
+--R   (1)  900x  + 1380x  + 109x  - 682x  - 227x  + 84x + 36
+--R                                                    Type: Polynomial(Integer)
+--E 121
+
+--S 122 of 500
+r0:=36*x+42*x^2-227/3*x^3-341/2*x^4+109/5*x^5+230*x^6+900/7*x^7
+--R 
+--R
+--R        900  7       6   109  5   341  4   227  3      2
+--R   (2)  --- x  + 230x  + --- x  - --- x  - --- x  + 42x  + 36x
+--R         7                5        2        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        900  7       6   109  5   341  4   227  3      2
+--R   (3)  --- x  + 230x  + --- x  - --- x  - --- x  + 42x  + 36x
+--R         7                5        2        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(1-2*x)^2*(2+3*x)*(3+5*x)^2
+--R 
+--R
+--R            5       4       3       2
+--R   (1)  300x  + 260x  - 137x  - 136x  + 15x + 18
+--R                                                    Type: Polynomial(Integer)
+--E 126
+
+--S 127 of 500
+r0:=18*x+15/2*x^2-136/3*x^3-137/4*x^4+52*x^5+50*x^6
+--R 
+--R
+--R           6      5   137  4   136  3   15  2
+--R   (2)  50x  + 52x  - --- x  - --- x  + -- x  + 18x
+--R                       4        3        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R           6      5   137  4   136  3   15  2
+--R   (3)  50x  + 52x  - --- x  - --- x  + -- x  + 18x
+--R                       4        3        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(1-2*x)^2*(3+5*x)^2
+--R 
+--R
+--R            4      3      2
+--R   (1)  100x  + 20x  - 59x  - 6x + 9
+--R                                                    Type: Polynomial(Integer)
+--E 131
+
+--S 132 of 500
+r0:=9*x-3*x^2-59/3*x^3+5*x^4+20*x^5
+--R 
+--R
+--R           5     4   59  3     2
+--R   (2)  20x  + 5x  - -- x  - 3x  + 9x
+--R                      3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R           5     4   59  3     2
+--R   (3)  20x  + 5x  - -- x  - 3x  + 9x
+--R                      3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)
+--R 
+--R
+--R            4      3      2
+--R        100x  + 20x  - 59x  - 6x + 9
+--R   (1)  ----------------------------
+--R                   3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 136
+
+--S 137 of 500
+r0:=340/81*x-251/54*x^2-140/27*x^3+25/3*x^4+49/243*log(2+3*x)
+--R 
+--R
+--R                             4        3        2
+--R        98log(3x + 2) + 4050x  - 2520x  - 2259x  + 2040x
+--R   (2)  ------------------------------------------------
+--R                               486
+--R                                                    Type: Expression(Integer)
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                             4        3        2
+--R        98log(3x + 2) + 4050x  - 2520x  - 2259x  + 2040x
+--R   (3)  ------------------------------------------------
+--R                               486
+--R                                         Type: Union(Expression(Integer),...)
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^2
+--R 
+--R
+--R            4      3      2
+--R        100x  + 20x  - 59x  - 6x + 9
+--R   (1)  ----------------------------
+--R                  2
+--R                9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 141
+
+--S 142 of 500
+r0:=143/27*x-170/27*x^2+100/27*x^3+(-49/243)/(2+3*x)-518/243*log(2+3*x)
+--R 
+--R
+--R                                           4        3       2
+--R        (- 1554x - 1036)log(3x + 2) + 2700x  - 2790x  + 801x  + 2574x - 49
+--R   (2)  ------------------------------------------------------------------
+--R                                    729x + 486
+--R                                                    Type: Expression(Integer)
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                           4        3       2
+--R        (- 1554x - 1036)log(3x + 2) + 2700x  - 2790x  + 801x  + 2574x - 49
+--R   (3)  ------------------------------------------------------------------
+--R                                    729x + 486
+--R                                         Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^3
+--R 
+--R
+--R            4      3      2
+--R        100x  + 20x  - 59x  - 6x + 9
+--R   (1)  ----------------------------
+--R               3      2
+--R            27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=-20/3*x+50/27*x^2+(-49/486)/(2+3*x)^2+518/243/(2+3*x)+503/81*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R              2                                     4         3         2
+--R       (27162x  + 36216x + 12072)log(3x + 2) + 8100x  - 18360x  - 35280x
+--R     + 
+--R       - 9852x + 2023
+--R  /
+--R          2
+--R     4374x  + 5832x + 1944
+--R                                                    Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2                                     4         3         2
+--R       (27162x  + 36216x + 12072)log(3x + 2) + 8100x  - 18360x  - 35280x
+--R     + 
+--R       - 9852x + 2023
+--R  /
+--R          2
+--R     4374x  + 5832x + 1944
+--R                                         Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^4
+--R 
+--R
+--R              4      3      2
+--R          100x  + 20x  - 59x  - 6x + 9
+--R   (1)  -------------------------------
+--R           4       3       2
+--R        81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=100/81*x+(-49/729)/(2+3*x)^3+259/243/(2+3*x)^2+(-503/81)/(2+3*x)-_
+     740/243*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                3          2                                      4         3
+--R       (- 59940x  - 119880x  - 79920x - 17760)log(3x + 2) + 24300x  + 48600x
+--R     + 
+--R              2
+--R       - 8343x  - 44793x - 16603
+--R  /
+--R           3         2
+--R     19683x  + 39366x  + 26244x + 5832
+--R                                                    Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                3          2                                      4         3
+--R       (- 59940x  - 119880x  - 79920x - 17760)log(3x + 2) + 24300x  + 48600x
+--R     + 
+--R              2
+--R       - 8343x  - 44793x - 16603
+--R  /
+--R           3         2
+--R     19683x  + 39366x  + 26244x + 5832
+--R                                         Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^5
+--R 
+--R
+--R                   4      3      2
+--R               100x  + 20x  - 59x  - 6x + 9
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=(-49/972)/(2+3*x)^4+518/729/(2+3*x)^3+(-503/162)/(2+3*x)^2+_
+     740/243/(2+3*x)+100/243*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R              4          3          2                                        3
+--R       (97200x  + 259200x  + 259200x  + 115200x + 19200)log(3x + 2) + 239760x
+--R     + 
+--R              2
+--R       398034x  + 217248x + 38821
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                                    Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              4          3          2                                        3
+--R       (97200x  + 259200x  + 259200x  + 115200x + 19200)log(3x + 2) + 239760x
+--R     + 
+--R              2
+--R       398034x  + 217248x + 38821
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                         Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^6
+--R 
+--R
+--R                         4      3      2
+--R                     100x  + 20x  - 59x  - 6x + 9
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=(-49/1215)/(2+3*x)^5+259/486/(2+3*x)^4+(-503/243)/(2+3*x)^3+_
+     370/243/(2+3*x)^2+(-100/243)/(2+3*x)
+--R 
+--R
+--R          100  4    430  3    683  2    1285      2014
+--R        - --- x  - ---- x  - ---- x  - ----- x - ------
+--R          729      2187      6561      39366     295245
+--R   (2)  -----------------------------------------------
+--R             5   10  4   40  3   80  2   80      32
+--R            x  + -- x  + -- x  + -- x  + -- x + ---
+--R                  3       9      27      81     243
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                        4          3         2
+--R                - 81000x  - 116100x  - 61470x  - 19275x - 4028
+--R   (3)  --------------------------------------------------------------
+--R               5           4           3           2
+--R        590490x  + 1968300x  + 2624400x  + 1749600x  + 583200x + 77760
+--R                                         Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^7
+--R 
+--R
+--R                                 4      3      2
+--R                             100x  + 20x  - 59x  - 6x + 9
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=(-49/1458)/(2+3*x)^6+518/1215/(2+3*x)^5+(-503/324)/(2+3*x)^4+_
+     740/729/(2+3*x)^3+(-50/243)/(2+3*x)^2
+--R 
+--R
+--R           50   4    460   3    389   2     227        4099
+--R        - ---- x  - ----- x  - ----- x  - ------ x - -------
+--R          2187      19683      78732      295245     5314410
+--R   (2)  ----------------------------------------------------
+--R            6     5   20  4   160  3   80  2   64      64
+--R           x  + 4x  + -- x  + --- x  + -- x  + -- x + ---
+--R                       3       27      27      81     729
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              4          3         2
+--R     - 243000x  - 248400x  - 52515x  - 8172x - 8198
+--R  /
+--R                6            5            4            3            2
+--R       10628820x  + 42515280x  + 70858800x  + 62985600x  + 31492800x  + 8398080x
+--R     + 
+--R       933120
+--R                                         Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R         4      3      2
+--R     100x  + 20x  - 59x  - 6x + 9
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-7/243)/(2+3*x)^7+259/729/(2+3*x)^6+(-503/405)/(2+3*x)^5+_
+     185/243/(2+3*x)^4+(-100/729)/(2+3*x)^3
+--R 
+--R
+--R              100   4    245   3     41    2     487         1423
+--R           - ----- x  - ----- x  + ------ x  + ------- x - -------
+--R             19683      59049      295245      2657205     7971615
+--R   (2)  ------------------------------------------------------------
+--R         7   14  6   28  5   280  4   560  3   224  2   448      128
+--R        x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R              3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R             4         3        2
+--R     - 40500x  - 33075x  + 1107x  + 1461x - 1423
+--R  /
+--R               7            6            5            4            3
+--R       7971615x  + 37200870x  + 74401740x  + 82668600x  + 55112400x
+--R     + 
+--R                2
+--R       22044960x  + 4898880x + 466560
+--R                                         Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(1-2*x)^2*(2+3*x)^10*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R              15             14             13              12              11
+--R     29524500x   + 220449600x   + 734077485x   + 1417418757x   + 1707104403x
+--R   + 
+--R                10             9             8             7             6
+--R     1233925083x   + 360437040x  - 236139300x  - 320907744x  - 154612896x
+--R   + 
+--R                5            4            3           2
+--R     - 21254656x  + 15928960x  + 10576640x  + 3002112x  + 442368x + 27648
+--R                                                    Type: Polynomial(Integer)
+--E 176
+
+--S 177 of 500
+r0:=-49/8019*(2+3*x)^11+763/8748*(2+3*x)^12-4099/9477*(2+3*x)^13+_
+     8285/10206*(2+3*x)^14-760/2187*(2+3*x)^15+125/2916*(2+3*x)^16
+--R 
+--R
+--R   (2)
+--R     7381125  16            15   734077485  14   1417418757  13   569034801  12
+--R     ------- x   + 14696640x   + --------- x   + ---------- x   + --------- x
+--R        4                            14              13               4
+--R   + 
+--R     1233925083  11            10            9            8   154612896  7
+--R     ---------- x   + 36043704x   - 26237700x  - 40113468x  - --------- x
+--R         11                                                       7
+--R   + 
+--R       10627328  6           5           4           3          2
+--R     - -------- x  + 3185792x  + 2644160x  + 1000704x  + 221184x  + 27648x
+--R           3
+--R   + 
+--R     3336045568
+--R     ----------
+--R       2189187
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 177
+
+--S 178 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     7381125  16            15   734077485  14   1417418757  13   569034801  12
+--R     ------- x   + 14696640x   + --------- x   + ---------- x   + --------- x
+--R        4                            14              13               4
+--R   + 
+--R     1233925083  11            10            9            8   154612896  7
+--R     ---------- x   + 36043704x   - 26237700x  - 40113468x  - --------- x
+--R         11                                                       7
+--R   + 
+--R       10627328  6           5           4           3          2
+--R     - -------- x  + 3185792x  + 2644160x  + 1000704x  + 221184x  + 27648x
+--R           3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 178
+
+--S 179 of 500
+m0:=a0-r0
+--R 
+--R
+--R          3336045568
+--R   (4)  - ----------
+--R            2189187
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 179
+
+--S 180 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(1-2*x)^2*(2+3*x)^9*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             14            13             12             11             10
+--R     9841500x   + 66922200x   + 200077695x   + 339087789x   + 342976275x
+--R   + 
+--R               9           8            7            6            5           4
+--R     182657511x  - 1625994x  - 77629104x  - 55216512x  - 14726624x  + 2732864x
+--R   + 
+--R             3           2
+--R     3487744x  + 1200384x  + 200448x + 13824
+--R                                                    Type: Polynomial(Integer)
+--E 181
+
+--S 182 of 500
+r0:=-49/7290*(2+3*x)^10+763/8019*(2+3*x)^11-4099/8748*(2+3*x)^12+_
+     8285/9477*(2+3*x)^13-1900/5103*(2+3*x)^14+100/2187*(2+3*x)^15
+--R 
+--R
+--R   (2)
+--R            15   33461100  14   200077695  13   113029263  12   342976275  11
+--R     656100x   + -------- x   + --------- x   + --------- x   + --------- x
+--R                     7              13              4               11
+--R   + 
+--R     182657511  10          9           8   55216512  7   7363312  6
+--R     --------- x   - 180666x  - 9703638x  - -------- x  - ------- x
+--R         10                                     7            3
+--R   + 
+--R     2732864  5          4          3          2            9067849216
+--R     ------- x  + 871936x  + 400128x  + 100224x  + 13824x + ----------
+--R        5                                                    10945935
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            15   33461100  14   200077695  13   113029263  12   342976275  11
+--R     656100x   + -------- x   + --------- x   + --------- x   + --------- x
+--R                     7              13              4               11
+--R   + 
+--R     182657511  10          9           8   55216512  7   7363312  6
+--R     --------- x   - 180666x  - 9703638x  - -------- x  - ------- x
+--R         10                                     7            3
+--R   + 
+--R     2732864  5          4          3          2
+--R     ------- x  + 871936x  + 400128x  + 100224x  + 13824x
+--R        5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R 
+--R
+--R          9067849216
+--R   (4)  - ----------
+--R           10945935
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 184
+
+--S 185 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(1-2*x)^2*(2+3*x)^8*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             13            12            11            10            9
+--R     3280500x   + 20120400x   + 53278965x   + 77509953x   + 62652123x
+--R   + 
+--R              8            7            6           5          4           3
+--R     19117755x  - 13287168x  - 17018256x  - 7060000x  - 202208x  + 1045760x
+--R   + 
+--R            2
+--R     465408x  + 89856x + 6912
+--R                                                    Type: Polynomial(Integer)
+--E 186
+
+--S 187 of 500
+r0:=6912*x+44928*x^2+155136*x^3+261440*x^4-202208/5*x^5-3530000/3*x^6-_
+     17018256/7*x^7-1660896*x^8+2124195*x^9+62652123/10*x^10+_
+     77509953/11*x^11+17759655/4*x^12+20120400/13*x^13+1640250/7*x^14
+--R 
+--R
+--R   (2)
+--R     1640250  14   20120400  13   17759655  12   77509953  11   62652123  10
+--R     ------- x   + -------- x   + -------- x   + -------- x   + -------- x
+--R        7             13              4             11             10
+--R   + 
+--R             9           8   17018256  7   3530000  6   202208  5          4
+--R     2124195x  - 1660896x  - -------- x  - ------- x  - ------ x  + 261440x
+--R                                 7            3            5
+--R   + 
+--R            3         2
+--R     155136x  + 44928x  + 6912x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     1640250  14   20120400  13   17759655  12   77509953  11   62652123  10
+--R     ------- x   + -------- x   + -------- x   + -------- x   + -------- x
+--R        7             13              4             11             10
+--R   + 
+--R             9           8   17018256  7   3530000  6   202208  5          4
+--R     2124195x  - 1660896x  - -------- x  - ------- x  - ------ x  + 261440x
+--R                                 7            3            5
+--R   + 
+--R            3         2
+--R     155136x  + 44928x  + 6912x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(1-2*x)^2*(2+3*x)^7*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             12           11            10            9           8          7
+--R     1093500x   + 5977800x   + 13774455x   + 16653681x  + 9781587x  - 148473x
+--R   + 
+--R               6           5          4          3          2
+--R     - 4330074x  - 2786036x  - 495976x  + 263248x  + 173088x  + 39744x + 3456
+--R                                                    Type: Polynomial(Integer)
+--E 191
+
+--S 192 of 500
+r0:=3456*x+19872*x^2+57696*x^3+65812*x^4-495976/5*x^5-1393018/3*x^6-_
+     618582*x^7-148473/8*x^8+1086843*x^9+16653681/10*x^10+_
+     13774455/11*x^11+498150*x^12+1093500/13*x^13
+--R 
+--R
+--R   (2)
+--R     1093500  13          12   13774455  11   16653681  10           9
+--R     ------- x   + 498150x   + -------- x   + -------- x   + 1086843x
+--R        13                        11             10
+--R   + 
+--R       148473  8          7   1393018  6   495976  5         4         3
+--R     - ------ x  - 618582x  - ------- x  - ------ x  + 65812x  + 57696x
+--R          8                      3            5
+--R   + 
+--R           2
+--R     19872x  + 3456x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     1093500  13          12   13774455  11   16653681  10           9
+--R     ------- x   + 498150x   + -------- x   + -------- x   + 1086843x
+--R        13                        11             10
+--R   + 
+--R       148473  8          7   1393018  6   495976  5         4         3
+--R     - ------ x  - 618582x  - ------- x  - ------ x  + 65812x  + 57696x
+--R          8                      3            5
+--R   + 
+--R           2
+--R     19872x  + 3456x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(1-2*x)^2*(2+3*x)^6*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R            11           10           9           8           7          6
+--R     364500x   + 1749600x   + 3425085x  + 3267837x  + 1081971x  - 770805x
+--R   + 
+--R              5          4         3         2
+--R     - 929488x  - 309020x  + 40688x  + 60624x  + 17280x + 1728
+--R                                                    Type: Polynomial(Integer)
+--E 196
+
+--S 197 of 500
+r0:=1728*x+8640*x^2+20208*x^3+10172*x^4-61804*x^5-464744/3*x^6-_
+     110115*x^7+1081971/8*x^8+363093*x^9+685017/2*x^10+1749600/11*x^11+_
+     30375*x^12
+--R 
+--R
+--R   (2)
+--R           12   1749600  11   685017  10          9   1081971  8          7
+--R     30375x   + ------- x   + ------ x   + 363093x  + ------- x  - 110115x
+--R                   11            2                       8
+--R   + 
+--R       464744  6         5         4         3        2
+--R     - ------ x  - 61804x  + 10172x  + 20208x  + 8640x  + 1728x
+--R          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           12   1749600  11   685017  10          9   1081971  8          7
+--R     30375x   + ------- x   + ------ x   + 363093x  + ------- x  - 110115x
+--R                   11            2                       8
+--R   + 
+--R       464744  6         5         4         3        2
+--R     - ------ x  - 61804x  + 10172x  + 20208x  + 8640x  + 1728x
+--R          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(1-2*x)^2*(2+3*x)^5*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R            10          9          8          7        6          5          4
+--R     121500x   + 502200x  + 806895x  + 551349x  - 6909x  - 252329x  - 141610x
+--R   + 
+--R            3         2
+--R     - 8600x  + 19296x  + 7344x + 864
+--R                                                    Type: Polynomial(Integer)
+--E 201
+
+--S 202 of 500
+r0:=864*x+3672*x^2+6432*x^3-2150*x^4-28322*x^5-252329/6*x^6-987*x^7+_
+     551349/8*x^8+89655*x^9+50220*x^10+121500/11*x^11
+--R 
+--R
+--R   (2)
+--R     121500  11         10         9   551349  8       7   252329  6         5
+--R     ------ x   + 50220x   + 89655x  + ------ x  - 987x  - ------ x  - 28322x
+--R       11                                 8                   6
+--R   + 
+--R            4        3        2
+--R     - 2150x  + 6432x  + 3672x  + 864x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R     121500  11         10         9   551349  8       7   252329  6         5
+--R     ------ x   + 50220x   + 89655x  + ------ x  - 987x  - ------ x  - 28322x
+--R       11                                 8                   6
+--R   + 
+--R            4        3        2
+--R     - 2150x  + 6432x  + 3672x  + 864x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(1-2*x)^2*(2+3*x)^4*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R           9          8          7         6         5         4         3
+--R     40500x  + 140400x  + 175365x  + 66873x  - 46885x  - 52853x  - 11968x
+--R   + 
+--R          2
+--R     5112x  + 3024x + 432
+--R                                                    Type: Polynomial(Integer)
+--E 206
+
+--S 207 of 500
+r0:=432*x+1512*x^2+1704*x^3-2992*x^4-52853/5*x^5-46885/6*x^6+66873/7*x^7+_
+     175365/8*x^8+15600*x^9+4050*x^10
+--R 
+--R
+--R   (2)
+--R          10         9   175365  8   66873  7   46885  6   52853  5        4
+--R     4050x   + 15600x  + ------ x  + ----- x  - ----- x  - ----- x  - 2992x
+--R                            8          7          6          5
+--R   + 
+--R          3        2
+--R     1704x  + 1512x  + 432x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R          10         9   175365  8   66873  7   46885  6   52853  5        4
+--R     4050x   + 15600x  + ------ x  + ----- x  - ----- x  - ----- x  - 2992x
+--R                            8          7          6          5
+--R   + 
+--R          3        2
+--R     1704x  + 1512x  + 432x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(1-2*x)^2*(2+3*x)^3*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R         8         7         6       5         4        3       2
+--R   13500x  + 37800x  + 33255x  + 121x  - 15709x  - 7145x  + 774x  + 1188x + 216
+--R                                                    Type: Polynomial(Integer)
+--E 211
+
+--S 212 of 500
+r0:=216*x+594*x^2+258*x^3-7145/4*x^4-15709/5*x^5+121/6*x^6+33255/7*x^7+_
+     4725*x^8+1500*x^9
+--R 
+--R
+--R   (2)
+--R          9        8   33255  7   121  6   15709  5   7145  4       3       2
+--R     1500x  + 4725x  + ----- x  + --- x  - ----- x  - ---- x  + 258x  + 594x
+--R                         7         6         5          4
+--R   + 
+--R     216x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R          9        8   33255  7   121  6   15709  5   7145  4       3       2
+--R     1500x  + 4725x  + ----- x  + --- x  - ----- x  - ---- x  + 258x  + 594x
+--R                         7         6         5          4
+--R   + 
+--R     216x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(1-2*x)^2*(2+3*x)^2*(3+5*x)^3
+--R 
+--R
+--R             7        6        5        4        3       2
+--R   (1)  4500x  + 9600x  + 4685x  - 3083x  - 3181x  - 261x  + 432x + 108
+--R                                                    Type: Polynomial(Integer)
+--E 216
+
+--S 217 of 500
+r0:=108*x+216*x^2-87*x^3-3181/4*x^4-3083/5*x^5+4685/6*x^6+9600/7*x^7+1125/2*x^8
+--R 
+--R
+--R        1125  8   9600  7   4685  6   3083  5   3181  4      3       2
+--R   (2)  ---- x  + ---- x  + ---- x  - ---- x  - ---- x  - 87x  + 216x  + 108x
+--R          2         7         6         5         4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        1125  8   9600  7   4685  6   3083  5   3181  4      3       2
+--R   (3)  ---- x  + ---- x  + ---- x  - ---- x  - ---- x  - 87x  + 216x  + 108x
+--R          2         7         6         5         4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(1-2*x)^2*(2+3*x)*(3+5*x)^3
+--R 
+--R
+--R             6        5      4        3       2
+--R   (1)  1500x  + 2200x  + 95x  - 1091x  - 333x  + 135x + 54
+--R                                                    Type: Polynomial(Integer)
+--E 221
+
+--S 222 of 500
+r0:=54*x+135/2*x^2-111*x^3-1091/4*x^4+19*x^5+1100/3*x^6+1500/7*x^7
+--R 
+--R
+--R        1500  7   1100  6      5   1091  4       3   135  2
+--R   (2)  ---- x  + ---- x  + 19x  - ---- x  - 111x  + --- x  + 54x
+--R          7         3                4                2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        1500  7   1100  6      5   1091  4       3   135  2
+--R   (3)  ---- x  + ---- x  + 19x  - ---- x  - 111x  + --- x  + 54x
+--R          7         3                4                2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(1-2*x)^2*(3+5*x)^3
+--R 
+--R
+--R            5       4       3       2
+--R   (1)  500x  + 400x  - 235x  - 207x  + 27x + 27
+--R                                                    Type: Polynomial(Integer)
+--E 226
+
+--S 227 of 500
+r0:=27*x+27/2*x^2-69*x^3-235/4*x^4+80*x^5+250/3*x^6
+--R 
+--R
+--R        250  6      5   235  4      3   27  2
+--R   (2)  --- x  + 80x  - --- x  - 69x  + -- x  + 27x
+--R         3               4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        250  6      5   235  4      3   27  2
+--R   (3)  --- x  + 80x  - --- x  - 69x  + -- x  + 27x
+--R         3               4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)
+--R 
+--R
+--R            5       4       3       2
+--R        500x  + 400x  - 235x  - 207x  + 27x + 27
+--R   (1)  ----------------------------------------
+--R                         3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=3305/243*x-559/162*x^2-2515/81*x^3+50/9*x^4+100/3*x^5-49/729*log(2+3*x)
+--R 
+--R
+--R                                5        4         3        2
+--R        - 98log(3x + 2) + 48600x  + 8100x  - 45270x  - 5031x  + 19830x
+--R   (2)  --------------------------------------------------------------
+--R                                     1458
+--R                                                    Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                5        4         3        2
+--R        - 98log(3x + 2) + 48600x  + 8100x  - 45270x  - 5031x  + 19830x
+--R   (3)  --------------------------------------------------------------
+--R                                     1458
+--R                                         Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^2
+--R 
+--R
+--R            5       4       3       2
+--R        500x  + 400x  - 235x  - 207x  + 27x + 27
+--R   (1)  ----------------------------------------
+--R                        2
+--R                      9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=1271/243*x-305/54*x^2-800/81*x^3+125/9*x^4+49/729/(2+3*x)+_
+     763/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                                     5        4         3        2
+--R   (4578x + 3052)log(3x + 2) + 60750x  - 2700x  - 53505x  + 6408x  + 15252x + 98
+--R   -----------------------------------------------------------------------------
+--R                                    4374x + 2916
+--R                                                    Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                     5        4         3        2
+--R   (4578x + 3052)log(3x + 2) + 60750x  - 2700x  - 53505x  + 6408x  + 15252x + 98
+--R   -----------------------------------------------------------------------------
+--R                                    4374x + 2916
+--R                                         Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^3
+--R 
+--R
+--R            5       4       3       2
+--R        500x  + 400x  - 235x  - 207x  + 27x + 27
+--R   (1)  ----------------------------------------
+--R                     3      2
+--R                  27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=895/81*x-100/9*x^2+500/81*x^3+49/1458/(2+3*x)^2+(-763/729)/(2+3*x)-_
+     4099/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                2                                      5         4         3
+--R       (- 73782x  - 98376x - 32792)log(3x + 2) + 81000x  - 37800x  - 13410x
+--R     + 
+--R              2
+--R       128520x  + 59862x - 3003
+--R  /
+--R           2
+--R     13122x  + 17496x + 5832
+--R                                                    Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2                                      5         4         3
+--R       (- 73782x  - 98376x - 32792)log(3x + 2) + 81000x  - 37800x  - 13410x
+--R     + 
+--R              2
+--R       128520x  + 59862x - 3003
+--R  /
+--R           2
+--R     13122x  + 17496x + 5832
+--R                                         Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^4
+--R 
+--R
+--R            5       4       3       2
+--R        500x  + 400x  - 235x  - 207x  + 27x + 27
+--R   (1)  ----------------------------------------
+--R                4       3       2
+--R             81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=-2800/243*x+250/81*x^2+49/2187/(2+3*x)^3+(-763/1458)/(2+3*x)^2+_
+     4099/729/(2+3*x)+8285/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                3           2                                          5
+--R       (1342170x  + 2684340x  + 1789560x + 397680)log(3x + 2) + 364500x
+--R     + 
+--R                4           3           2
+--R       - 631800x  - 2235600x  - 1485054x  - 114939x + 93896
+--R  /
+--R            3          2
+--R     118098x  + 236196x  + 157464x + 34992
+--R                                                    Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                3           2                                          5
+--R       (1342170x  + 2684340x  + 1789560x + 397680)log(3x + 2) + 364500x
+--R     + 
+--R                4           3           2
+--R       - 631800x  - 2235600x  - 1485054x  - 114939x + 93896
+--R  /
+--R            3          2
+--R     118098x  + 236196x  + 157464x + 34992
+--R                                         Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^5
+--R 
+--R
+--R             5       4       3       2
+--R         500x  + 400x  - 235x  - 207x  + 27x + 27
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=500/243*x+49/2916/(2+3*x)^4+(-763/2187)/(2+3*x)^3+4099/1458/(2+3*x)^2+_
+     (-8285/729)/(2+3*x)-3800/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                  4           3           2
+--R       (- 3693600x  - 9849600x  - 9849600x  - 4377600x - 729600)log(3x + 2)
+--R     + 
+--R               5           4           3           2
+--R       1458000x  + 3888000x  + 1203660x  - 3419334x  - 3005148x - 702941
+--R  /
+--R            4           3           2
+--R     708588x  + 1889568x  + 1889568x  + 839808x + 139968
+--R                                                    Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  4           3           2
+--R       (- 3693600x  - 9849600x  - 9849600x  - 4377600x - 729600)log(3x + 2)
+--R     + 
+--R               5           4           3           2
+--R       1458000x  + 3888000x  + 1203660x  - 3419334x  - 3005148x - 702941
+--R  /
+--R            4           3           2
+--R     708588x  + 1889568x  + 1889568x  + 839808x + 139968
+--R                                         Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^6
+--R 
+--R
+--R                   5       4       3       2
+--R               500x  + 400x  - 235x  - 207x  + 27x + 27
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=49/3645/(2+3*x)^5+(-763/2916)/(2+3*x)^4+4099/2187/(2+3*x)^3+_
+     (-8285/1458)/(2+3*x)^2+3800/729/(2+3*x)+500/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                  5            4            3            2
+--R         (7290000x  + 24300000x  + 32400000x  + 21600000x  + 7200000x + 960000)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4            3            2
+--R       18468000x  + 42537150x  + 36564120x  + 13889625x + 1965218
+--R  /
+--R              5            4            3            2
+--R     10628820x  + 35429400x  + 47239200x  + 31492800x  + 10497600x + 1399680
+--R                                                    Type: Expression(Integer)
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  5            4            3            2
+--R         (7290000x  + 24300000x  + 32400000x  + 21600000x  + 7200000x + 960000)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4            3            2
+--R       18468000x  + 42537150x  + 36564120x  + 13889625x + 1965218
+--R  /
+--R              5            4            3            2
+--R     10628820x  + 35429400x  + 47239200x  + 31492800x  + 10497600x + 1399680
+--R                                         Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^7
+--R 
+--R
+--R                           5       4       3       2
+--R                       500x  + 400x  - 235x  - 207x  + 27x + 27
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=49/4374/(2+3*x)^6+(-763/3645)/(2+3*x)^5+4099/2916/(2+3*x)^4+_
+     (-8285/2187)/(2+3*x)^3+1900/729/(2+3*x)^2+(-500/729)/(2+3*x)
+--R 
+--R
+--R           500  5   3100  4   22685  3    39781  2    41968      116741
+--R        - ---- x  - ---- x  - ----- x  - ------ x  - ------ x - --------
+--R          2187      6561      59049      236196      885735     15943230
+--R   (2)  ----------------------------------------------------------------
+--R                  6     5   20  4   160  3   80  2   64      64
+--R                 x  + 4x  + -- x  + --- x  + -- x  + -- x + ---
+--R                             3       27      27      81     729
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               5            4            3           2
+--R     - 7290000x  - 15066000x  - 12249900x  - 5370435x  - 1510848x - 233482
+--R  /
+--R                6             5             4             3            2
+--R       31886460x  + 127545840x  + 212576400x  + 188956800x  + 94478400x
+--R     + 
+--R       25194240x + 2799360
+--R                                         Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R         5       4       3       2
+--R     500x  + 400x  - 235x  - 207x  + 27x + 27
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 266
+
+--S 267 of 500
+r0:=7/729/(2+3*x)^7+(-763/4374)/(2+3*x)^6+4099/3645/(2+3*x)^5+_
+     (-8285/2916)/(2+3*x)^4+3800/2187/(2+3*x)^3+(-250/729)/(2+3*x)^2
+--R 
+--R
+--R           250  5    3700  4    23255  3    12077   2     35089        19072
+--R        - ---- x  - ----- x  - ------ x  - ------- x  - -------- x - --------
+--R          6561      59049      708588      1771470      15943230     23914845
+--R   (2)  ---------------------------------------------------------------------
+--R              7   14  6   28  5   280  4   560  3   224  2   448      128
+--R             x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R                   3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 267
+
+--S 268 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               5           4           3          2
+--R     - 3645000x  - 5994000x  - 3139425x  - 652158x  - 210534x - 76288
+--R  /
+--R                7             6             5             4             3
+--R       95659380x  + 446410440x  + 892820880x  + 992023200x  + 661348800x
+--R     + 
+--R                 2
+--R       264539520x  + 58786560x + 5598720
+--R                                         Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 269
+
+--S 270 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(1-2*x)^2*(2+3*x)^7/(3+5*x)
+--R 
+--R
+--R   (1)
+--R            9         8         7         6        5         4        3        2
+--R       8748x  + 32076x  + 43011x  + 19278x  - 9828x  - 13608x  - 3696x  + 1184x
+--R     + 
+--R       832x + 128
+--R  /
+--R     5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 271
+
+--S 272 of 500
+r0:=83333293/1953125*x+80555569/781250*x^2+1327159/78125*x^3-_
+     20577159/62500*x^4-7315947/15625*x^5+130383/1250*x^6+_
+     672867/875*x^7+16767/25*x^8+972/5*x^9+121/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                     9                8                7
+--R       3388log(5x + 3) + 53156250000x  + 183389062500x  + 210270937500x
+--R     + 
+--R                   6                5               4              3
+--R       28521281250x  - 128029072500x  - 90025070625x  + 4645056500x
+--R     + 
+--R                   2
+--R       28194449150x  + 11666661020x
+--R  /
+--R     273437500
+--R                                                    Type: Expression(Integer)
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                     9                8                7
+--R       3388log(5x + 3) + 53156250000x  + 183389062500x  + 210270937500x
+--R     + 
+--R                   6                5               4              3
+--R       28521281250x  - 128029072500x  - 90025070625x  + 4645056500x
+--R     + 
+--R                   2
+--R       28194449150x  + 11666661020x
+--R  /
+--R     273437500
+--R                                         Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(1-2*x)^2*(2+3*x)^6/(3+5*x)
+--R 
+--R
+--R             8        7        6       5        4        3       2
+--R        2916x  + 8748x  + 8505x  + 756x  - 3780x  - 2016x  + 112x  + 320x + 64
+--R   (1)  ----------------------------------------------------------------------
+--R                                        5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 276
+
+--S 277 of 500
+r0:=8333293/390625*x+5555569/156250*x^2-422841/15625*x^3-_
+     1677159/12500*x^4-228447/3125*x^5+35883/250*x^6+34992/175*x^7+_
+     729/10*x^8+121/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                    8               7              6
+--R       3388log(5x + 3) + 3986718750x  + 10935000000x  + 7849406250x
+--R     + 
+--R                  5              4              3              2
+--R     - 3997822500x  - 7337570625x  - 1479943500x  + 1944449150x  + 1166661020x
+--R  /
+--R     54687500
+--R                                                    Type: Expression(Integer)
+--E 277
+
+--S 278 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                    8               7              6
+--R       3388log(5x + 3) + 3986718750x  + 10935000000x  + 7849406250x
+--R     + 
+--R                  5              4              3              2
+--R     - 3997822500x  - 7337570625x  - 1479943500x  + 1944449150x  + 1166661020x
+--R  /
+--R     54687500
+--R                                         Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 279
+
+--S 280 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(1-2*x)^2*(2+3*x)^5/(3+5*x)
+--R 
+--R
+--R            7        6        5       4       3       2
+--R        972x  + 2268x  + 1323x  - 630x  - 840x  - 112x  + 112x + 32
+--R   (1)  -----------------------------------------------------------
+--R                                   5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=833293/78125*x+305569/31250*x^2-72841/3125*x^3-102159/2500*x^4+_
+     7803/625*x^5+1404/25*x^6+972/35*x^7+121/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                   7             6             5             4
+--R       3388log(5x + 3) + 303750000x  + 614250000x  + 136552500x  - 446945625x
+--R     + 
+--R                   3             2
+--R       - 254943500x  + 106949150x  + 116661020x
+--R  /
+--R     10937500
+--R                                                    Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                   7             6             5             4
+--R       3388log(5x + 3) + 303750000x  + 614250000x  + 136552500x  - 446945625x
+--R     + 
+--R                   3             2
+--R       - 254943500x  + 106949150x  + 116661020x
+--R  /
+--R     10937500
+--R                                         Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(1-2*x)^2*(2+3*x)^4/(3+5*x)
+--R 
+--R
+--R            6       5      4       3       2
+--R        324x  + 540x  + 81x  - 264x  - 104x  + 32x + 16
+--R   (1)  -----------------------------------------------
+--R                             5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=83293/15625*x+5569/6250*x^2-7841/625*x^3-3159/500*x^4+1728/125*x^5+_
+     54/5*x^6+121/78125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                6           5           4           3          2
+--R       484log(5x + 3) + 3375000x  + 4320000x  - 1974375x  - 3920500x  + 278450x
+--R     + 
+--R       1665860x
+--R  /
+--R     312500
+--R                                                    Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                6           5           4           3          2
+--R       484log(5x + 3) + 3375000x  + 4320000x  - 1974375x  - 3920500x  + 278450x
+--R     + 
+--R       1665860x
+--R  /
+--R     312500
+--R                                         Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(1-2*x)^2*(2+3*x)^3/(3+5*x)
+--R 
+--R
+--R            5       4      3      2
+--R        108x  + 108x  - 45x  - 58x  + 4x + 8
+--R   (1)  ------------------------------------
+--R                       5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=8293/3125*x-1931/1250*x^2-591/125*x^3+54/25*x^4+108/25*x^5+_
+     121/15625*log(3+5*x)
+--R 
+--R
+--R                                5         4          3         2
+--R        242log(5x + 3) + 135000x  + 67500x  - 147750x  - 48275x  + 82930x
+--R   (2)  -----------------------------------------------------------------
+--R                                      31250
+--R                                                    Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                5         4          3         2
+--R        242log(5x + 3) + 135000x  + 67500x  - 147750x  - 48275x  + 82930x
+--R   (3)  -----------------------------------------------------------------
+--R                                      31250
+--R                                         Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(1-2*x)^2*(2+3*x)^2/(3+5*x)
+--R 
+--R
+--R           4      3      2
+--R        36x  + 12x  - 23x  - 4x + 4
+--R   (1)  ---------------------------
+--R                   5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=793/625*x-431/250*x^2-16/25*x^3+9/5*x^4+121/3125*log(3+5*x)
+--R 
+--R
+--R                               4        3         2
+--R        242log(5x + 3) + 11250x  - 4000x  - 10775x  + 7930x
+--R   (2)  ---------------------------------------------------
+--R                                6250
+--R                                                    Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               4        3         2
+--R        242log(5x + 3) + 11250x  - 4000x  - 10775x  + 7930x
+--R   (3)  ---------------------------------------------------
+--R                                6250
+--R                                         Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(1-2*x)^2*(2+3*x)/(3+5*x)
+--R 
+--R
+--R           3     2
+--R        12x  - 4x  - 5x + 2
+--R   (1)  -------------------
+--R               5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=43/125*x-28/25*x^2+4/5*x^3+121/625*log(3+5*x)
+--R 
+--R
+--R                             3       2
+--R        121log(5x + 3) + 500x  - 700x  + 215x
+--R   (2)  -------------------------------------
+--R                         625
+--R                                                    Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                             3       2
+--R        121log(5x + 3) + 500x  - 700x  + 215x
+--R   (3)  -------------------------------------
+--R                         625
+--R                                         Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(1-2*x)^2/(3+5*x)
+--R 
+--R
+--R          2
+--R        4x  - 4x + 1
+--R   (1)  ------------
+--R           5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=-32/25*x+2/5*x^2+121/125*log(3+5*x)
+--R 
+--R
+--R                            2
+--R        121log(5x + 3) + 50x  - 160x
+--R   (2)  ----------------------------
+--R                     125
+--R                                                    Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                            2
+--R        121log(5x + 3) + 50x  - 160x
+--R   (3)  ----------------------------
+--R                     125
+--R                                         Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=(1-2*x)^2/((2+3*x)*(3+5*x))
+--R 
+--R
+--R           2
+--R         4x  - 4x + 1
+--R   (1)  --------------
+--R           2
+--R        15x  + 19x + 6
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=4/15*x-49/9*log(2+3*x)+121/25*log(3+5*x)
+--R 
+--R
+--R        1089log(5x + 3) - 1225log(3x + 2) + 60x
+--R   (2)  ---------------------------------------
+--R                          225
+--R                                                    Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        1089log(5x + 3) - 1225log(3x + 2) + 60x
+--R   (3)  ---------------------------------------
+--R                          225
+--R                                         Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=(1-2*x)^2/((2+3*x)^2*(3+5*x))
+--R 
+--R
+--R               2
+--R             4x  - 4x + 1
+--R   (1)  ----------------------
+--R           3      2
+--R        45x  + 87x  + 56x + 12
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=49/9/(2+3*x)-217/9*log(2+3*x)+121/5*log(3+5*x)
+--R 
+--R
+--R        (3267x + 2178)log(5x + 3) + (- 3255x - 2170)log(3x + 2) + 245
+--R   (2)  -------------------------------------------------------------
+--R                                  135x + 90
+--R                                                    Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (3267x + 2178)log(5x + 3) + (- 3255x - 2170)log(3x + 2) + 245
+--R   (3)  -------------------------------------------------------------
+--R                                  135x + 90
+--R                                         Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=(1-2*x)^2/((2+3*x)^3*(3+5*x))
+--R 
+--R
+--R                     2
+--R                   4x  - 4x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        135x  + 351x  + 342x  + 148x + 24
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=49/18/(2+3*x)^2+217/9/(2+3*x)-121*log(2+3*x)+121*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R              2
+--R       (19602x  + 26136x + 8712)log(5x + 3)
+--R     + 
+--R                2
+--R       (- 19602x  - 26136x - 8712)log(3x + 2) + 1302x + 917
+--R  /
+--R         2
+--R     162x  + 216x + 72
+--R                                                    Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2
+--R       (19602x  + 26136x + 8712)log(5x + 3)
+--R     + 
+--R                2
+--R       (- 19602x  - 26136x - 8712)log(3x + 2) + 1302x + 917
+--R  /
+--R         2
+--R     162x  + 216x + 72
+--R                                         Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=(1-2*x)^2/((2+3*x)^4*(3+5*x))
+--R 
+--R
+--R                          2
+--R                        4x  - 4x + 1
+--R   (1)  --------------------------------------------
+--R            5        4        3        2
+--R        405x  + 1323x  + 1728x  + 1128x  + 368x + 48
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=49/27/(2+3*x)^3+217/18/(2+3*x)^2+121/(2+3*x)-605*log(2+3*x)+605*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               3           2
+--R       (882090x  + 1764180x  + 1176120x + 261360)log(5x + 3)
+--R     + 
+--R                 3           2                                         2
+--R       (- 882090x  - 1764180x  - 1176120x - 261360)log(3x + 2) + 58806x
+--R     + 
+--R       80361x + 27536
+--R  /
+--R          3        2
+--R     1458x  + 2916x  + 1944x + 432
+--R                                                    Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               3           2
+--R       (882090x  + 1764180x  + 1176120x + 261360)log(5x + 3)
+--R     + 
+--R                 3           2                                         2
+--R       (- 882090x  - 1764180x  - 1176120x - 261360)log(3x + 2) + 58806x
+--R     + 
+--R       80361x + 27536
+--R  /
+--R          3        2
+--R     1458x  + 2916x  + 1944x + 432
+--R                                         Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=(1-2*x)^2/((2+3*x)^5*(3+5*x))
+--R 
+--R
+--R                               2
+--R                             4x  - 4x + 1
+--R   (1)  ------------------------------------------------------
+--R             6        5        4        3        2
+--R        1215x  + 4779x  + 7830x  + 6840x  + 3360x  + 880x + 96
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=49/36/(2+3*x)^4+217/27/(2+3*x)^3+121/2/(2+3*x)^2+605/(2+3*x)-_
+     3025*log(2+3*x)+3025*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 4            3            2
+--R       (26462700x  + 70567200x  + 70567200x  + 31363200x + 5227200)log(5x + 3)
+--R     + 
+--R                   4            3            2
+--R       (- 26462700x  - 70567200x  - 70567200x  - 31363200x - 5227200)log(3x + 2)
+--R     + 
+--R               3           2
+--R       1764180x  + 3587166x  + 2433252x + 550739
+--R  /
+--R          4         3         2
+--R     8748x  + 23328x  + 23328x  + 10368x + 1728
+--R                                                    Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 4            3            2
+--R       (26462700x  + 70567200x  + 70567200x  + 31363200x + 5227200)log(5x + 3)
+--R     + 
+--R                   4            3            2
+--R       (- 26462700x  - 70567200x  - 70567200x  - 31363200x - 5227200)log(3x + 2)
+--R     + 
+--R               3           2
+--R       1764180x  + 3587166x  + 2433252x + 550739
+--R  /
+--R          4         3         2
+--R     8748x  + 23328x  + 23328x  + 10368x + 1728
+--R                                         Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=(1-2*x)^2/((2+3*x)^6*(3+5*x))
+--R 
+--R
+--R                                       2
+--R                                     4x  - 4x + 1
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        3645x  + 16767x  + 33048x  + 36180x  + 23760x  + 9360x  + 2048x + 192
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=49/45/(2+3*x)^5+217/36/(2+3*x)^4+121/3/(2+3*x)^3+605/2/(2+3*x)^2+_
+     3025/(2+3*x)-15125*log(2+3*x)+15125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                     5              4              3              2
+--R           661567500x  + 2205225000x  + 2940300000x  + 1960200000x  + 653400000x
+--R         + 
+--R           87120000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       5              4              3              2
+--R           - 661567500x  - 2205225000x  - 2940300000x  - 1960200000x
+--R         + 
+--R           - 653400000x - 87120000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4             3             2
+--R       44104500x  + 119082150x  + 120617640x  + 54322575x + 9179006
+--R  /
+--R           5          4          3          2
+--R     43740x  + 145800x  + 194400x  + 129600x  + 43200x + 5760
+--R                                                    Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                     5              4              3              2
+--R           661567500x  + 2205225000x  + 2940300000x  + 1960200000x  + 653400000x
+--R         + 
+--R           87120000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       5              4              3              2
+--R           - 661567500x  - 2205225000x  - 2940300000x  - 1960200000x
+--R         + 
+--R           - 653400000x - 87120000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4             3             2
+--R       44104500x  + 119082150x  + 120617640x  + 54322575x + 9179006
+--R  /
+--R           5          4          3          2
+--R     43740x  + 145800x  + 194400x  + 129600x  + 43200x + 5760
+--R                                         Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=(1-2*x)^2/((2+3*x)^7*(3+5*x))
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R             8         7          6          5          4         3         2
+--R       10935x  + 57591x  + 132678x  + 174636x  + 143640x  + 75600x  + 24864x
+--R     + 
+--R       4672x + 384
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=49/54/(2+3*x)^6+217/45/(2+3*x)^5+121/4/(2+3*x)^4+605/3/(2+3*x)^3+_
+     3025/2/(2+3*x)^2+15125/(2+3*x)-75625*log(2+3*x)+75625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                       6                5                4                3
+--R           29770537500x  + 119082150000x  + 198470250000x  + 176418000000x
+--R         + 
+--R                       2
+--R           88209000000x  + 23522400000x + 2613600000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         6                5                4                3
+--R           - 29770537500x  - 119082150000x  - 198470250000x  - 176418000000x
+--R         + 
+--R                         2
+--R           - 88209000000x  - 23522400000x - 2613600000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                  5              4              3              2
+--R       1984702500x  + 6681831750x  + 9000258300x  + 6063045615x  + 2042732232x
+--R     + 
+--R       275370238
+--R  /
+--R            6           5           4           3           2
+--R     393660x  + 1574640x  + 2624400x  + 2332800x  + 1166400x  + 311040x + 34560
+--R                                                    Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       6                5                4                3
+--R           29770537500x  + 119082150000x  + 198470250000x  + 176418000000x
+--R         + 
+--R                       2
+--R           88209000000x  + 23522400000x + 2613600000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         6                5                4                3
+--R           - 29770537500x  - 119082150000x  - 198470250000x  - 176418000000x
+--R         + 
+--R                         2
+--R           - 88209000000x  - 23522400000x - 2613600000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                  5              4              3              2
+--R       1984702500x  + 6681831750x  + 9000258300x  + 6063045615x  + 2042732232x
+--R     + 
+--R       275370238
+--R  /
+--R            6           5           4           3           2
+--R     393660x  + 1574640x  + 2624400x  + 2332800x  + 1166400x  + 311040x + 34560
+--R                                         Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=(1-2*x)^2/((2+3*x)^8*(3+5*x))
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R             9          8          7          6          5          4          3
+--R       32805x  + 194643x  + 513216x  + 789264x  + 780192x  + 514080x  + 225792x
+--R     + 
+--R             2
+--R       63744x  + 10496x + 768
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=7/9/(2+3*x)^7+217/54/(2+3*x)^6+121/5/(2+3*x)^5+605/4/(2+3*x)^4+_
+     3025/3/(2+3*x)^3+15125/2/(2+3*x)^2+75625/(2+3*x)-378125*log(2+3*x)+_
+     378125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                        7                 6                 5                 4
+--R           446558062500x  + 2083937625000x  + 4167875250000x  + 4630972500000x
+--R         + 
+--R                         3                 2
+--R           3087315000000x  + 1234926000000x  + 274428000000x + 26136000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          7                 6                 5
+--R           - 446558062500x  - 2083937625000x  - 4167875250000x
+--R         + 
+--R                           4                 3                 2
+--R           - 4630972500000x  - 3087315000000x  - 1234926000000x  - 274428000000x
+--R         + 
+--R           - 26136000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   6                5                4                3
+--R       29770537500x  + 120074501250x  + 201822192000x  + 180948267225x
+--R     + 
+--R                   2
+--R       91271440062x  + 24557875626x + 2753702432
+--R  /
+--R               7           6            5            4           3           2
+--R       1180980x  + 5511240x  + 11022480x  + 12247200x  + 8164800x  + 3265920x
+--R     + 
+--R       725760x + 69120
+--R                                                    Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                        7                 6                 5                 4
+--R           446558062500x  + 2083937625000x  + 4167875250000x  + 4630972500000x
+--R         + 
+--R                         3                 2
+--R           3087315000000x  + 1234926000000x  + 274428000000x + 26136000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          7                 6                 5
+--R           - 446558062500x  - 2083937625000x  - 4167875250000x
+--R         + 
+--R                           4                 3                 2
+--R           - 4630972500000x  - 3087315000000x  - 1234926000000x  - 274428000000x
+--R         + 
+--R           - 26136000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   6                5                4                3
+--R       29770537500x  + 120074501250x  + 201822192000x  + 180948267225x
+--R     + 
+--R                   2
+--R       91271440062x  + 24557875626x + 2753702432
+--R  /
+--R               7           6            5            4           3           2
+--R       1180980x  + 5511240x  + 11022480x  + 12247200x  + 8164800x  + 3265920x
+--R     + 
+--R       725760x + 69120
+--R                                         Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(1-2*x)^2*(2+3*x)^7/(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R            9         8         7         6        5         4        3        2
+--R       8748x  + 32076x  + 43011x  + 19278x  - 9828x  - 13608x  - 3696x  + 1184x
+--R     + 
+--R       832x + 128
+--R  /
+--R        2
+--R     25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 351
+
+--S 352 of 500
+r0:=27776932/1953125*x+17592879/781250*x^2-1512378/78125*x^3-_
+     213867/2500*x^4-656424/15625*x^5+116397/1250*x^6+_
+     107892/875*x^7+2187/50*x^8+(-121/9765625)/(3+5*x)+2497/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                   9                8
+--R       (349580x + 209748)log(5x + 3) + 59800781250x  + 204461718750x
+--R     + 
+--R                    7               6                5               4
+--R       228457968750x  + 18948431250x  - 151420775625x  - 96641724375x
+--R     + 
+--R                   3               2
+--R       14907569250x  + 37916375350x  + 11666311440x - 3388
+--R  /
+--R     1367187500x + 820312500
+--R                                                    Type: Expression(Integer)
+--E 352
+
+--S 353 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                   9                8
+--R       (349580x + 209748)log(5x + 3) + 59800781250x  + 204461718750x
+--R     + 
+--R                    7               6                5               4
+--R       228457968750x  + 18948431250x  - 151420775625x  - 96641724375x
+--R     + 
+--R                   3               2
+--R       14907569250x  + 37916375350x  + 11666311440x - 3388
+--R  /
+--R     1367187500x + 820312500
+--R                                         Type: Union(Expression(Integer),...)
+--E 353
+
+--S 354 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 354
+
+--S 355 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(1-2*x)^2*(2+3*x)^6/(3+5*x)^2
+--R 
+--R
+--R             8        7        6       5        4        3       2
+--R        2916x  + 8748x  + 8505x  + 756x  - 3780x  - 2016x  + 112x  + 320x + 64
+--R   (1)  ----------------------------------------------------------------------
+--R                                       2
+--R                                    25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=2777053/390625*x+463086/78125*x^2-48771/3125*x^3-_
+     157599/6250*x^4+28917/3125*x^5+4374/125*x^6+2916/175*x^7+_
+     (-121/1953125)/(3+5*x)+2134/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                 8              7              6
+--R       (149380x + 89628)log(5x + 3) + 2278125000x  + 6150937500x  + 4135556250x
+--R     + 
+--R                    5              4             3              2
+--R       - 2688406875x  - 4202218125x  - 469838250x  + 1458208850x  + 583181130x
+--R     + 
+--R       - 1694
+--R  /
+--R     136718750x + 82031250
+--R                                                    Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                 8              7              6
+--R       (149380x + 89628)log(5x + 3) + 2278125000x  + 6150937500x  + 4135556250x
+--R     + 
+--R                    5              4             3              2
+--R       - 2688406875x  - 4202218125x  - 469838250x  + 1458208850x  + 583181130x
+--R     + 
+--R       - 1694
+--R  /
+--R     136718750x + 82031250
+--R                                         Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(1-2*x)^2*(2+3*x)^5/(3+5*x)^2
+--R 
+--R
+--R            7        6        5       4       3       2
+--R        972x  + 2268x  + 1323x  - 630x  - 840x  - 112x  + 112x + 32
+--R   (1)  -----------------------------------------------------------
+--R                                  2
+--R                               25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=277174/78125*x+1893/6250*x^2-25332/3125*x^3-8721/2500*x^4+_
+     5508/625*x^5+162/25*x^6+(-121/390625)/(3+5*x)+1771/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                              7            6            5
+--R       (35420x + 21252)log(5x + 3) + 50625000x  + 99225000x  + 14056875x
+--R     + 
+--R                  4            3            2
+--R       - 79681875x  - 35631750x  + 29137150x  + 16630440x - 484
+--R  /
+--R     7812500x + 4687500
+--R                                                    Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                              7            6            5
+--R       (35420x + 21252)log(5x + 3) + 50625000x  + 99225000x  + 14056875x
+--R     + 
+--R                  4            3            2
+--R       - 79681875x  - 35631750x  + 29137150x  + 16630440x - 484
+--R  /
+--R     7812500x + 4687500
+--R                                         Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(1-2*x)^2*(2+3*x)^4/(3+5*x)^2
+--R 
+--R
+--R            6       5      4       3       2
+--R        324x  + 540x  + 81x  - 264x  - 104x  + 32x + 16
+--R   (1)  -----------------------------------------------
+--R                            2
+--R                         25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=5459/3125*x-3621/3125*x^2-1809/625*x^3+189/125*x^4+324/125*x^5+_
+     (-121/78125)/(3+5*x)+1408/78125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                           6           5          4           3
+--R       (7040x + 4224)log(5x + 3) + 1012500x  + 1198125x  - 776250x  - 1131000x
+--R     + 
+--R              2
+--R       410800x  + 409425x - 121
+--R  /
+--R     390625x + 234375
+--R                                                    Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                           6           5          4           3
+--R       (7040x + 4224)log(5x + 3) + 1012500x  + 1198125x  - 776250x  - 1131000x
+--R     + 
+--R              2
+--R       410800x  + 409425x - 121
+--R  /
+--R     390625x + 234375
+--R                                         Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(1-2*x)^2*(2+3*x)^3/(3+5*x)^2
+--R 
+--R
+--R            5       4      3      2
+--R        108x  + 108x  - 45x  - 58x  + 4x + 8
+--R   (1)  ------------------------------------
+--R                      2
+--R                   25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=2416/3125*x-1449/1250*x^2-36/125*x^3+27/25*x^4+(-121/15625)/(3+5*x)+_
+     209/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                           5         4          3         2
+--R       (10450x + 6270)log(5x + 3) + 168750x  + 56250x  - 208125x  + 12125x
+--R     + 
+--R       72480x - 242
+--R  /
+--R     156250x + 93750
+--R                                                    Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                           5         4          3         2
+--R       (10450x + 6270)log(5x + 3) + 168750x  + 56250x  - 208125x  + 12125x
+--R     + 
+--R       72480x - 242
+--R  /
+--R     156250x + 93750
+--R                                         Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(1-2*x)^2*(2+3*x)^2/(3+5*x)^2
+--R 
+--R
+--R           4      3      2
+--R        36x  + 12x  - 23x  - 4x + 4
+--R   (1)  ---------------------------
+--R                  2
+--R               25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=37/625*x-78/125*x^2+12/25*x^3+(-121/3125)/(3+5*x)+682/3125*log(3+5*x)
+--R 
+--R
+--R                                         4        3        2
+--R        (3410x + 2046)log(5x + 3) + 7500x  - 5250x  - 4925x  + 555x - 121
+--R   (2)  -----------------------------------------------------------------
+--R                                  15625x + 9375
+--R                                                    Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                         4        3        2
+--R        (3410x + 2046)log(5x + 3) + 7500x  - 5250x  - 4925x  + 555x - 121
+--R   (3)  -----------------------------------------------------------------
+--R                                  15625x + 9375
+--R                                         Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(1-2*x)^2*(2+3*x)/(3+5*x)^2
+--R 
+--R
+--R           3     2
+--R        12x  - 4x  - 5x + 2
+--R   (1)  -------------------
+--R              2
+--R           25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=-92/125*x+6/25*x^2+(-121/625)/(3+5*x)+319/625*log(3+5*x)
+--R 
+--R
+--R                                       3        2
+--R        (1595x + 957)log(5x + 3) + 750x  - 1850x  - 1380x - 121
+--R   (2)  -------------------------------------------------------
+--R                              3125x + 1875
+--R                                                    Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                       3        2
+--R        (1595x + 957)log(5x + 3) + 750x  - 1850x  - 1380x - 121
+--R   (3)  -------------------------------------------------------
+--R                              3125x + 1875
+--R                                         Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(1-2*x)^2/(3+5*x)^2
+--R 
+--R
+--R           2
+--R         4x  - 4x + 1
+--R   (1)  --------------
+--R           2
+--R        25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=4/25*x+(-121/125)/(3+5*x)-44/125*log(3+5*x)
+--R 
+--R
+--R                                        2
+--R        (- 220x - 132)log(5x + 3) + 100x  + 60x - 121
+--R   (2)  ---------------------------------------------
+--R                          625x + 375
+--R                                                    Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                        2
+--R        (- 220x - 132)log(5x + 3) + 100x  + 60x - 121
+--R   (3)  ---------------------------------------------
+--R                          625x + 375
+--R                                         Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(1-2*x)^2/((2+3*x)*(3+5*x)^2)
+--R 
+--R
+--R                2
+--R              4x  - 4x + 1
+--R   (1)  -----------------------
+--R           3       2
+--R        75x  + 140x  + 87x + 18
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-121/25)/(3+5*x)+49/3*log(2+3*x)-407/25*log(3+5*x)
+--R 
+--R
+--R        (- 6105x - 3663)log(5x + 3) + (6125x + 3675)log(3x + 2) - 363
+--R   (2)  -------------------------------------------------------------
+--R                                  375x + 225
+--R                                                    Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (- 6105x - 3663)log(5x + 3) + (6125x + 3675)log(3x + 2) - 363
+--R   (3)  -------------------------------------------------------------
+--R                                  375x + 225
+--R                                         Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=(1-2*x)^2/((2+3*x)^2*(3+5*x)^2)
+--R 
+--R
+--R                     2
+--R                   4x  - 4x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        225x  + 570x  + 541x  + 228x + 36
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-49/3)/(2+3*x)+(-121/5)/(3+5*x)+154*log(2+3*x)-154*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                2
+--R       (- 34650x  - 43890x - 13860)log(5x + 3)
+--R     + 
+--R              2
+--R       (34650x  + 43890x + 13860)log(3x + 2) - 2314x - 1461
+--R  /
+--R         2
+--R     225x  + 285x + 90
+--R                                                    Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2
+--R       (- 34650x  - 43890x - 13860)log(5x + 3)
+--R     + 
+--R              2
+--R       (34650x  + 43890x + 13860)log(3x + 2) - 2314x - 1461
+--R  /
+--R         2
+--R     225x  + 285x + 90
+--R                                         Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=(1-2*x)^2/((2+3*x)^3*(3+5*x)^2)
+--R 
+--R
+--R                          2
+--R                        4x  - 4x + 1
+--R   (1)  --------------------------------------------
+--R            5        4        3        2
+--R        675x  + 2160x  + 2763x  + 1766x  + 564x + 72
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-49/6)/(2+3*x)^2+(-154)/(2+3*x)+(-121)/(3+5*x)+1133*log(2+3*x)-_
+     1133*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 3          2
+--R       (- 305910x  - 591426x  - 380688x - 81576)log(5x + 3)
+--R     + 
+--R               3          2                                       2
+--R       (305910x  + 591426x  + 380688x + 81576)log(3x + 2) - 20394x  - 26513x
+--R     + 
+--R       - 8595
+--R  /
+--R         3       2
+--R     270x  + 522x  + 336x + 72
+--R                                                    Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 3          2
+--R       (- 305910x  - 591426x  - 380688x - 81576)log(5x + 3)
+--R     + 
+--R               3          2                                       2
+--R       (305910x  + 591426x  + 380688x + 81576)log(3x + 2) - 20394x  - 26513x
+--R     + 
+--R       - 8595
+--R  /
+--R         3       2
+--R     270x  + 522x  + 336x + 72
+--R                                         Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=(1-2*x)^2/((2+3*x)^4*(3+5*x)^2)
+--R 
+--R
+--R                                 2
+--R                               4x  - 4x + 1
+--R   (1)  ----------------------------------------------------------
+--R             6        5         4         3        2
+--R        2025x  + 7830x  + 12609x  + 10824x  + 5224x  + 1344x + 144
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-49/9)/(2+3*x)^3+(-77)/(2+3*x)^2+(-1133)/(2+3*x)+(-605)/(3+5*x)+_
+     7480*log(2+3*x)-7480*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                  4            3            2
+--R       (- 9088200x  - 23629320x  - 23023440x  - 9963360x - 1615680)log(5x + 3)
+--R     + 
+--R                4            3            2
+--R       (9088200x  + 23629320x  + 23023440x  + 9963360x + 1615680)log(3x + 2)
+--R     + 
+--R                3           2
+--R       - 605880x  - 1191564x  - 780464x - 170229
+--R  /
+--R          4        3        2
+--R     1215x  + 3159x  + 3078x  + 1332x + 216
+--R                                                    Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  4            3            2
+--R       (- 9088200x  - 23629320x  - 23023440x  - 9963360x - 1615680)log(5x + 3)
+--R     + 
+--R                4            3            2
+--R       (9088200x  + 23629320x  + 23023440x  + 9963360x + 1615680)log(3x + 2)
+--R     + 
+--R                3           2
+--R       - 605880x  - 1191564x  - 780464x - 170229
+--R  /
+--R          4        3        2
+--R     1215x  + 3159x  + 3078x  + 1332x + 216
+--R                                         Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=(1-2*x)^2/((2+3*x)^5*(3+5*x)^2)
+--R 
+--R
+--R                                       2
+--R                                     4x  - 4x + 1
+--R   (1)  ----------------------------------------------------------------------
+--R             7         6         5         4         3         2
+--R        6075x  + 27540x  + 53487x  + 57690x  + 37320x  + 14480x  + 3120x + 288
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-49/12)/(2+3*x)^4+(-154/3)/(2+3*x)^3+(-1133/2)/(2+3*x)^2+_
+     (-7480)/(2+3*x)+(-3025)/(3+5*x)+46475*log(2+3*x)-46475*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                      5             4             3             2
+--R           - 75289500x  - 245945700x  - 321235200x  - 209695200x  - 68411200x
+--R         + 
+--R           - 8923200
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                    5             4             3             2
+--R           75289500x  + 245945700x  + 321235200x  + 209695200x  + 68411200x
+--R         + 
+--R           8923200
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4            3            2
+--R       - 5019300x  - 13217490x  - 13046462x  - 5720639x - 940153
+--R  /
+--R          5        4        3        2
+--R     1620x  + 5292x  + 6912x  + 4512x  + 1472x + 192
+--R                                                    Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      5             4             3             2
+--R           - 75289500x  - 245945700x  - 321235200x  - 209695200x  - 68411200x
+--R         + 
+--R           - 8923200
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                    5             4             3             2
+--R           75289500x  + 245945700x  + 321235200x  + 209695200x  + 68411200x
+--R         + 
+--R           8923200
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4            3            2
+--R       - 5019300x  - 13217490x  - 13046462x  - 5720639x - 940153
+--R  /
+--R          5        4        3        2
+--R     1620x  + 5292x  + 6912x  + 4512x  + 1472x + 192
+--R                                         Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=(1-2*x)^2/((2+3*x)^6*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R             8         7          6          5          4          3         2
+--R       18225x  + 94770x  + 215541x  + 280044x  + 227340x  + 118080x  + 38320x
+--R     + 
+--R       7104x + 576
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=(-49/15)/(2+3*x)^5+(-77/2)/(2+3*x)^4+(-1133/3)/(2+3*x)^3+_
+     (-3740)/(2+3*x)^2+(-46475)/(2+3*x)+(-15125)/(3+5*x)+_
+     277750*log(2+3*x)-277750*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         6               5               4               3
+--R           - 10123987500x  - 39821017500x  - 65243475000x  - 56994300000x
+--R         + 
+--R                         2
+--R           - 27997200000x  - 7332600000x - 799920000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       6               5               4               3
+--R           10123987500x  + 39821017500x  + 65243475000x  + 56994300000x
+--R         + 
+--R                       2
+--R           27997200000x  + 7332600000x + 799920000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5              4              3              2
+--R       - 674932500x  - 2227277250x  - 2939206050x  - 1938789435x  - 639246515x
+--R     + 
+--R       - 84279984
+--R  /
+--R           6          5          4          3          2
+--R     36450x  + 143370x  + 234900x  + 205200x  + 100800x  + 26400x + 2880
+--R                                                    Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         6               5               4               3
+--R           - 10123987500x  - 39821017500x  - 65243475000x  - 56994300000x
+--R         + 
+--R                         2
+--R           - 27997200000x  - 7332600000x - 799920000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       6               5               4               3
+--R           10123987500x  + 39821017500x  + 65243475000x  + 56994300000x
+--R         + 
+--R                       2
+--R           27997200000x  + 7332600000x + 799920000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5              4              3              2
+--R       - 674932500x  - 2227277250x  - 2939206050x  - 1938789435x  - 639246515x
+--R     + 
+--R       - 84279984
+--R  /
+--R           6          5          4          3          2
+--R     36450x  + 143370x  + 234900x  + 205200x  + 100800x  + 26400x + 2880
+--R                                         Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=(1-2*x)^2/((2+3*x)^7*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R             9          8          7           6           5          4
+--R       54675x  + 320760x  + 836163x  + 1271214x  + 1242108x  + 808920x
+--R     + 
+--R              3         2
+--R       351120x  + 97952x  + 15936x + 1152
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=(-49/18)/(2+3*x)^6+(-154/5)/(2+3*x)^5+(-1133/4)/(2+3*x)^4+_
+     (-7480/3)/(2+3*x)^3+(-46475/2)/(2+3*x)^2+(-277750)/(2+3*x)+_
+     (-75625)/(3+5*x)+1615625*log(2+3*x)-1615625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                           7                 6                 5
+--R           - 1060011562500x  - 4876053187500x  - 9610771500000x
+--R         + 
+--R                            4                 3                 2
+--R           - 10521596250000x  - 6909705000000x  - 2722005000000x
+--R         + 
+--R           - 595584000000x - 55836000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         7                 6                 5
+--R           1060011562500x  + 4876053187500x  + 9610771500000x
+--R         + 
+--R                          4                 3                 2
+--R           10521596250000x  + 6909705000000x  + 2722005000000x  + 595584000000x
+--R         + 
+--R           55836000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     6                5                4                3
+--R       - 70667437500x  - 280314168750x  - 463211966250x  - 408159415125x
+--R     + 
+--R                      2
+--R       - 202262350455x  - 53445037346x - 5882909754
+--R  /
+--R              7           6           5           4           3           2
+--R       656100x  + 3018060x  + 5948640x  + 6512400x  + 4276800x  + 1684800x
+--R     + 
+--R       368640x + 34560
+--R                                                    Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                           7                 6                 5
+--R           - 1060011562500x  - 4876053187500x  - 9610771500000x
+--R         + 
+--R                            4                 3                 2
+--R           - 10521596250000x  - 6909705000000x  - 2722005000000x
+--R         + 
+--R           - 595584000000x - 55836000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         7                 6                 5
+--R           1060011562500x  + 4876053187500x  + 9610771500000x
+--R         + 
+--R                          4                 3                 2
+--R           10521596250000x  + 6909705000000x  + 2722005000000x  + 595584000000x
+--R         + 
+--R           55836000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     6                5                4                3
+--R       - 70667437500x  - 280314168750x  - 463211966250x  - 408159415125x
+--R     + 
+--R                      2
+--R       - 202262350455x  - 53445037346x - 5882909754
+--R  /
+--R              7           6           5           4           3           2
+--R       656100x  + 3018060x  + 5948640x  + 6512400x  + 4276800x  + 1684800x
+--R     + 
+--R       368640x + 34560
+--R                                         Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=(1-2*x)^2/((2+3*x)^8*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R              10           9           8           7           6           5
+--R       164025x   + 1071630x  + 3150009x  + 5485968x  + 6268752x  + 4910976x
+--R     + 
+--R               4          3          2
+--R       2671200x  + 996096x  + 243712x  + 35328x + 2304
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=(-7/3)/(2+3*x)^7+(-77/3)/(2+3*x)^6+(-1133/5)/(2+3*x)^5+_
+     (-1870)/(2+3*x)^4+(-46475/3)/(2+3*x)^3+(-138875)/(2+3*x)^2+_
+     (-1615625)/(2+3*x)+(-378125)/(3+5*x)+9212500*log(2+3*x)-9212500*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                           8                 7                  6
+--R           - 1511080312500x  - 7958356312500x  - 18334441125000x
+--R         + 
+--R                            5                  4                  3
+--R           - 24132512250000x  - 19849252500000x  - 10446975000000x
+--R         + 
+--R                           2
+--R           - 3435894000000x  - 645612000000x - 53064000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         8                 7                  6
+--R           1511080312500x  + 7958356312500x  + 18334441125000x
+--R         + 
+--R                          5                  4                  3
+--R           24132512250000x  + 19849252500000x  + 10446975000000x
+--R         + 
+--R                         2
+--R           3435894000000x  + 645612000000x + 53064000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      7                6                5                 4
+--R       - 100738687500x  - 466755918750x  - 926721303750x  - 1022059900125x
+--R     + 
+--R                      3                2
+--R       - 676227617505x  - 268408563588x  - 59178013234x - 5590850403
+--R  /
+--R              8          7           6           5           4           3
+--R       164025x  + 863865x  + 1990170x  + 2619540x  + 2154600x  + 1134000x
+--R     + 
+--R              2
+--R       372960x  + 70080x + 5760
+--R                                                    Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                           8                 7                  6
+--R           - 1511080312500x  - 7958356312500x  - 18334441125000x
+--R         + 
+--R                            5                  4                  3
+--R           - 24132512250000x  - 19849252500000x  - 10446975000000x
+--R         + 
+--R                           2
+--R           - 3435894000000x  - 645612000000x - 53064000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         8                 7                  6
+--R           1511080312500x  + 7958356312500x  + 18334441125000x
+--R         + 
+--R                          5                  4                  3
+--R           24132512250000x  + 19849252500000x  + 10446975000000x
+--R         + 
+--R                         2
+--R           3435894000000x  + 645612000000x + 53064000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      7                6                5                 4
+--R       - 100738687500x  - 466755918750x  - 926721303750x  - 1022059900125x
+--R     + 
+--R                      3                2
+--R       - 676227617505x  - 268408563588x  - 59178013234x - 5590850403
+--R  /
+--R              8          7           6           5           4           3
+--R       164025x  + 863865x  + 1990170x  + 2619540x  + 2154600x  + 1134000x
+--R     + 
+--R              2
+--R       372960x  + 70080x + 5760
+--R                                         Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(1-2*x)^2*(2+3*x)^8/(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             10          9          8          7        6         5         4
+--R       26244x   + 113724x  + 193185x  + 143856x  + 9072x  - 60480x  - 38304x
+--R     + 
+--R              3        2
+--R       - 3840x  + 4864x  + 2048x + 256
+--R  /
+--R         3       2
+--R     125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 431
+
+--S 432 of 500
+r0:=92582457/9765625*x+55559043/3906250*x^2-5350194/390625*x^3-_
+     1700919/31250*x^4-74601/3125*x^5+376407/6250*x^6+332424/4375*x^7+_
+     6561/250*x^8+(-121/97656250)/(3+5*x)^2+(-572/9765625)/(3+5*x)+_
+     5888/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 2                                                  10
+--R       (10304000x  + 12364800x + 3709440)log(5x + 3) + 448505859375x
+--R     + 
+--R                     9                 8                 7                 6
+--R       1836738281250x  + 2748937500000x  + 1294582500000x  - 1049233500000x
+--R     + 
+--R                       5                4                3                2
+--R       - 1497169800000x  - 372682800000x  + 369438720000x  + 281928652425x
+--R     + 
+--R       58326747710x - 120967
+--R  /
+--R                 2
+--R     17089843750x  + 20507812500x + 6152343750
+--R                                                    Type: Expression(Integer)
+--E 432
+
+--S 433 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 2                                                  10
+--R       (10304000x  + 12364800x + 3709440)log(5x + 3) + 448505859375x
+--R     + 
+--R                     9                 8                 7                 6
+--R       1836738281250x  + 2748937500000x  + 1294582500000x  - 1049233500000x
+--R     + 
+--R                       5                4                3                2
+--R       - 1497169800000x  - 372682800000x  + 369438720000x  + 281928652425x
+--R     + 
+--R       58326747710x - 120967
+--R  /
+--R                 2
+--R     17089843750x  + 20507812500x + 6152343750
+--R                                         Type: Union(Expression(Integer),...)
+--E 433
+
+--S 434 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 434
+
+--S 435 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(1-2*x)^2*(2+3*x)^7/(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R            9         8         7         6        5         4        3        2
+--R       8748x  + 32076x  + 43011x  + 19278x  - 9828x  - 13608x  - 3696x  + 1184x
+--R     + 
+--R       832x + 128
+--R  /
+--R         3       2
+--R     125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=9251661/1953125*x+1390203/390625*x^2-162612/15625*x^3-_
+     193833/12500*x^4+104247/15625*x^5+13608/625*x^6+8748/875*x^7+_
+     (-121/19531250)/(3+5*x)^2+(-2497/9765625)/(3+5*x)+21949/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 2                                                 9
+--R       (15364300x  + 18437160x + 5531148)log(5x + 3) + 68343750000x
+--R     + 
+--R                    8                7              6                5
+--R       230850000000x  + 248816812500x  + 2308753125x  - 181926753750x
+--R     + 
+--R                     4               3               2
+--R       - 99203619375x  + 35963686500x  + 47615255100x  + 11656743280x - 211442
+--R  /
+--R                2
+--R     6835937500x  + 8203125000x + 2460937500
+--R                                                    Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 2                                                 9
+--R       (15364300x  + 18437160x + 5531148)log(5x + 3) + 68343750000x
+--R     + 
+--R                    8                7              6                5
+--R       230850000000x  + 248816812500x  + 2308753125x  - 181926753750x
+--R     + 
+--R                     4               3               2
+--R       - 99203619375x  + 35963686500x  + 47615255100x  + 11656743280x - 211442
+--R  /
+--R                2
+--R     6835937500x  + 8203125000x + 2460937500
+--R                                         Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 439
+
+--S 440 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 440
+
+)clear all
+
+--S 441 of 500
+t0:=(1-2*x)^2*(2+3*x)^6/(3+5*x)^3
+--R 
+--R
+--R             8        7        6       5        4        3       2
+--R        2916x  + 8748x  + 8505x  + 756x  - 3780x  - 2016x  + 112x  + 320x + 64
+--R   (1)  ----------------------------------------------------------------------
+--R                                   3       2
+--R                               125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 441
+
+--S 442 of 500
+r0:=920502/390625*x+189/15625*x^2-16299/3125*x^3-23571/12500*x^4+_
+     17496/3125*x^5+486/125*x^6+(-121/3906250)/(3+5*x)^2+_
+     (-2134/1953125)/(3+5*x)+15547/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                2                                             8              7
+--R       (1554700x  + 1865640x + 559692)log(5x + 3) + 759375000x  + 2004750000x
+--R     + 
+--R                  6              5              4            3             2
+--R       1217278125x  - 1066983750x  - 1352649375x  + 96358500x  + 553151700x
+--R     + 
+--R       165647680x - 25850
+--R  /
+--R               2
+--R     195312500x  + 234375000x + 70312500
+--R                                                    Type: Expression(Integer)
+--E 442
+
+--S 443 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2                                             8              7
+--R       (1554700x  + 1865640x + 559692)log(5x + 3) + 759375000x  + 2004750000x
+--R     + 
+--R                  6              5              4            3             2
+--R       1217278125x  - 1066983750x  - 1352649375x  + 96358500x  + 553151700x
+--R     + 
+--R       165647680x - 25850
+--R  /
+--R               2
+--R     195312500x  + 234375000x + 70312500
+--R                                         Type: Union(Expression(Integer),...)
+--E 443
+
+--S 444 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 444
+
+--S 445 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 445
+
+)clear all
+
+--S 446 of 500
+t0:=(1-2*x)^2*(2+3*x)^5/(3+5*x)^3
+--R 
+--R
+--R            7        6        5       4       3       2
+--R        972x  + 2268x  + 1323x  - 630x  - 840x  - 112x  + 112x + 32
+--R   (1)  -----------------------------------------------------------
+--R                             3       2
+--R                         125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 446
+
+--S 447 of 500
+r0:=17796/15625*x-5301/6250*x^2-5499/3125*x^3+648/625*x^4+972/625*x^5+_
+     (-121/781250)/(3+5*x)^2+(-1771/390625)/(3+5*x)+10234/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2                                           7            6
+--R       (511700x  + 614040x + 184212)log(5x + 3) + 30375000x  + 56700000x
+--R     + 
+--R              5            4            3            2
+--R       866250x  - 50518125x  - 10006500x  + 20730375x  + 7990490x - 10747
+--R  /
+--R              2
+--R     19531250x  + 23437500x + 7031250
+--R                                                    Type: Expression(Integer)
+--E 447
+
+--S 448 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                           7            6
+--R       (511700x  + 614040x + 184212)log(5x + 3) + 30375000x  + 56700000x
+--R     + 
+--R              5            4            3            2
+--R       866250x  - 50518125x  - 10006500x  + 20730375x  + 7990490x - 10747
+--R  /
+--R              2
+--R     19531250x  + 23437500x + 7031250
+--R                                         Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 449
+
+--S 450 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 450
+
+)clear all
+
+--S 451 of 500
+t0:=(1-2*x)^2*(2+3*x)^4/(3+5*x)^3
+--R 
+--R
+--R            6       5      4       3       2
+--R        324x  + 540x  + 81x  - 264x  - 104x  + 32x + 16
+--R   (1)  -----------------------------------------------
+--R                       3       2
+--R                   125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 451
+
+--S 452 of 500
+r0:=1419/3125*x-4779/6250*x^2-72/625*x^3+81/125*x^4+(-121/156250)/(3+5*x)^2+_
+     (-1408/78125)/(3+5*x)+1202/15625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2                                          6           5
+--R       (300500x  + 360600x + 108180)log(5x + 3) + 2531250x  + 2587500x
+--R     + 
+--R                 4           3           2
+--R       - 2615625x  - 1972500x  + 1053225x  + 624470x - 8569
+--R  /
+--R             2
+--R     3906250x  + 4687500x + 1406250
+--R                                                    Type: Expression(Integer)
+--E 452
+
+--S 453 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                          6           5
+--R       (300500x  + 360600x + 108180)log(5x + 3) + 2531250x  + 2587500x
+--R     + 
+--R                 4           3           2
+--R       - 2615625x  - 1972500x  + 1053225x  + 624470x - 8569
+--R  /
+--R             2
+--R     3906250x  + 4687500x + 1406250
+--R                                         Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 454
+
+--S 455 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 455
+
+)clear all
+
+--S 456 of 500
+t0:=(1-2*x)^2*(2+3*x)^3/(3+5*x)^3
+--R 
+--R
+--R            5       4      3      2
+--R        108x  + 108x  - 45x  - 58x  + 4x + 8
+--R   (1)  ------------------------------------
+--R                  3       2
+--R              125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 456
+
+--S 457 of 500
+r0:=-153/3125*x-216/625*x^2+36/125*x^3+(-121/31250)/(3+5*x)^2+_
+     (-209/3125)/(3+5*x)+23/125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2                                        5          3          2
+--R       (143750x  + 172500x + 51750)log(5x + 3) + 225000x  - 281250x  - 143100x
+--R     + 
+--R       - 24220x - 6391
+--R  /
+--R            2
+--R     781250x  + 937500x + 281250
+--R                                                    Type: Expression(Integer)
+--E 457
+
+--S 458 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                        5          3          2
+--R       (143750x  + 172500x + 51750)log(5x + 3) + 225000x  - 281250x  - 143100x
+--R     + 
+--R       - 24220x - 6391
+--R  /
+--R            2
+--R     781250x  + 937500x + 281250
+--R                                         Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 459
+
+--S 460 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 460
+
+)clear all
+
+--S 461 of 500
+t0:=(1-2*x)^2*(2+3*x)^2/(3+5*x)^3
+--R 
+--R
+--R           4      3      2
+--R        36x  + 12x  - 23x  - 4x + 4
+--R   (1)  ---------------------------
+--R             3       2
+--R         125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 461
+
+--S 462 of 500
+r0:=-264/625*x+18/125*x^2+(-121/6250)/(3+5*x)^2+(-682/3125)/(3+5*x)+_
+     829/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R              2                                      4         3         2
+--R       (41450x  + 49740x + 14922)log(5x + 3) + 22500x  - 39000x  - 71100x
+--R     + 
+--R       - 30580x - 4213
+--R  /
+--R            2
+--R     156250x  + 187500x + 56250
+--R                                                    Type: Expression(Integer)
+--E 462
+
+--S 463 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2                                      4         3         2
+--R       (41450x  + 49740x + 14922)log(5x + 3) + 22500x  - 39000x  - 71100x
+--R     + 
+--R       - 30580x - 4213
+--R  /
+--R            2
+--R     156250x  + 187500x + 56250
+--R                                         Type: Union(Expression(Integer),...)
+--E 463
+
+--S 464 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 464
+
+--S 465 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 465
+
+)clear all
+
+--S 466 of 500
+t0:=(1-2*x)^2*(2+3*x)/(3+5*x)^3
+--R 
+--R
+--R              3     2
+--R           12x  - 4x  - 5x + 2
+--R   (1)  -------------------------
+--R            3       2
+--R        125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 466
+
+--S 467 of 500
+r0:=12/125*x+(-121/1250)/(3+5*x)^2+(-319/625)/(3+5*x)-128/625*log(3+5*x)
+--R 
+--R
+--R                2                                   3        2
+--R        (- 6400x  - 7680x - 2304)log(5x + 3) + 3000x  + 3600x  - 2110x - 2035
+--R   (2)  ---------------------------------------------------------------------
+--R                                     2
+--R                               31250x  + 37500x + 11250
+--R                                                    Type: Expression(Integer)
+--E 467
+
+--S 468 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                2                                   3        2
+--R        (- 6400x  - 7680x - 2304)log(5x + 3) + 3000x  + 3600x  - 2110x - 2035
+--R   (3)  ---------------------------------------------------------------------
+--R                                     2
+--R                               31250x  + 37500x + 11250
+--R                                         Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 469
+
+--S 470 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 470
+
+)clear all
+
+--S 471 of 500
+t0:=(1-2*x)^2/(3+5*x)^3
+--R 
+--R
+--R                 2
+--R               4x  - 4x + 1
+--R   (1)  -------------------------
+--R            3       2
+--R        125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 471
+
+--S 472 of 500
+r0:=(-121/250)/(3+5*x)^2+44/125/(3+5*x)+4/125*log(3+5*x)
+--R 
+--R
+--R             2
+--R        (200x  + 240x + 72)log(5x + 3) + 440x + 143
+--R   (2)  -------------------------------------------
+--R                        2
+--R                   6250x  + 7500x + 2250
+--R                                                    Type: Expression(Integer)
+--E 472
+
+--S 473 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R             2
+--R        (200x  + 240x + 72)log(5x + 3) + 440x + 143
+--R   (3)  -------------------------------------------
+--R                        2
+--R                   6250x  + 7500x + 2250
+--R                                         Type: Union(Expression(Integer),...)
+--E 473
+
+--S 474 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 474
+
+--S 475 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 475
+
+)clear all
+
+--S 476 of 500
+t0:=(1-2*x)^2/((2+3*x)*(3+5*x)^3)
+--R 
+--R
+--R                     2
+--R                   4x  - 4x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        375x  + 925x  + 855x  + 351x + 54
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 476
+
+--S 477 of 500
+r0:=(-121/50)/(3+5*x)^2+407/25/(3+5*x)-49*log(2+3*x)+49*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R              2
+--R       (61250x  + 73500x + 22050)log(5x + 3)
+--R     + 
+--R                2
+--R       (- 61250x  - 73500x - 22050)log(3x + 2) + 4070x + 2321
+--R  /
+--R          2
+--R     1250x  + 1500x + 450
+--R                                                    Type: Expression(Integer)
+--E 477
+
+--S 478 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2
+--R       (61250x  + 73500x + 22050)log(5x + 3)
+--R     + 
+--R                2
+--R       (- 61250x  - 73500x - 22050)log(3x + 2) + 4070x + 2321
+--R  /
+--R          2
+--R     1250x  + 1500x + 450
+--R                                         Type: Union(Expression(Integer),...)
+--E 478
+
+--S 479 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 479
+
+--S 480 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 480
+
+)clear all
+
+--S 481 of 500
+t0:=(1-2*x)^2/((2+3*x)^2*(3+5*x)^3)
+--R 
+--R
+--R                           2
+--R                         4x  - 4x + 1
+--R   (1)  ----------------------------------------------
+--R             5        4        3        2
+--R        1125x  + 3525x  + 4415x  + 2763x  + 864x + 108
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 481
+
+--S 482 of 500
+r0:=49/(2+3*x)+(-121/10)/(3+5*x)^2+154/(3+5*x)-707*log(2+3*x)+707*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               3          2
+--R       (530250x  + 989800x  + 615090x + 127260)log(5x + 3)
+--R     + 
+--R                 3          2                                        2
+--R       (- 530250x  - 989800x  - 615090x - 127260)log(3x + 2) + 35350x  + 43597x
+--R     + 
+--R       13408
+--R  /
+--R         3        2
+--R     750x  + 1400x  + 870x + 180
+--R                                                    Type: Expression(Integer)
+--E 482
+
+--S 483 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               3          2
+--R       (530250x  + 989800x  + 615090x + 127260)log(5x + 3)
+--R     + 
+--R                 3          2                                        2
+--R       (- 530250x  - 989800x  - 615090x - 127260)log(3x + 2) + 35350x  + 43597x
+--R     + 
+--R       13408
+--R  /
+--R         3        2
+--R     750x  + 1400x  + 870x + 180
+--R                                         Type: Union(Expression(Integer),...)
+--E 483
+
+--S 484 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 484
+
+--S 485 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 485
+
+)clear all
+
+--S 486 of 500
+t0:=(1-2*x)^2/((2+3*x)^3*(3+5*x)^3)
+--R 
+--R
+--R                                  2
+--R                                4x  - 4x + 1
+--R   (1)  -----------------------------------------------------------
+--R             6         5         4         3        2
+--R        3375x  + 12825x  + 20295x  + 17119x  + 8118x  + 2052x + 216
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 486
+
+--S 487 of 500
+r0:=49/2/(2+3*x)^2+707/(2+3*x)+(-121/2)/(3+5*x)^2+1133/(3+5*x)-_
+     6934*log(2+3*x)+6934*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                4           3           2
+--R       (3120300x  + 7904760x  + 7502588x  + 3161904x + 499248)log(5x + 3)
+--R     + 
+--R                  4           3           2
+--R       (- 3120300x  - 7904760x  - 7502588x  - 3161904x - 499248)log(3x + 2)
+--R     + 
+--R              3          2
+--R       208020x  + 395238x  + 249932x + 52601
+--R  /
+--R         4        3        2
+--R     450x  + 1140x  + 1082x  + 456x + 72
+--R                                                    Type: Expression(Integer)
+--E 487
+
+--S 488 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                4           3           2
+--R       (3120300x  + 7904760x  + 7502588x  + 3161904x + 499248)log(5x + 3)
+--R     + 
+--R                  4           3           2
+--R       (- 3120300x  - 7904760x  - 7502588x  - 3161904x - 499248)log(3x + 2)
+--R     + 
+--R              3          2
+--R       208020x  + 395238x  + 249932x + 52601
+--R  /
+--R         4        3        2
+--R     450x  + 1140x  + 1082x  + 456x + 72
+--R                                         Type: Union(Expression(Integer),...)
+--E 488
+
+--S 489 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 489
+
+--S 490 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 490
+
+)clear all
+
+--S 491 of 500
+t0:=(1-2*x)^2/((2+3*x)^4*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R                                   2
+--R                                 4x  - 4x + 1
+--R   -----------------------------------------------------------------------
+--R         7         6         5         4         3         2
+--R   10125x  + 45225x  + 86535x  + 91947x  + 58592x  + 22392x  + 4752x + 432
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 491
+
+--S 492 of 500
+r0:=49/3/(2+3*x)^3+707/2/(2+3*x)^2+6934/(2+3*x)+(-605/2)/(3+5*x)^2+_
+     7480/(3+5*x)-57110*log(2+3*x)+57110*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                     5             4             3             2
+--R           231295500x  + 740145600x  + 946769580x  + 605137560x  + 193260240x
+--R         + 
+--R           24671520
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       5             4             3             2
+--R           - 231295500x  - 740145600x  - 946769580x  - 605137560x  - 193260240x
+--R         + 
+--R           - 24671520
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4            3            2
+--R       15419700x  + 39577230x  + 38058104x  + 16250079x + 2599404
+--R  /
+--R          5         4         3         2
+--R     4050x  + 12960x  + 16578x  + 10596x  + 3384x + 432
+--R                                                    Type: Expression(Integer)
+--E 492
+
+--S 493 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                     5             4             3             2
+--R           231295500x  + 740145600x  + 946769580x  + 605137560x  + 193260240x
+--R         + 
+--R           24671520
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       5             4             3             2
+--R           - 231295500x  - 740145600x  - 946769580x  - 605137560x  - 193260240x
+--R         + 
+--R           - 24671520
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4            3            2
+--R       15419700x  + 39577230x  + 38058104x  + 16250079x + 2599404
+--R  /
+--R          5         4         3         2
+--R     4050x  + 12960x  + 16578x  + 10596x  + 3384x + 432
+--R                                         Type: Union(Expression(Integer),...)
+--E 493
+
+--S 494 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 494
+
+--S 495 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 495
+
+)clear all
+
+--S 496 of 500
+t0:=(1-2*x)^2/((2+3*x)^5*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R             8          7          6          5          4          3         2
+--R       30375x  + 155925x  + 350055x  + 448911x  + 359670x  + 184360x  + 59040x
+--R     + 
+--R       10800x + 864
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 496
+
+--S 497 of 500
+r0:=49/4/(2+3*x)^4+707/3/(2+3*x)^3+3467/(2+3*x)^2+57110/(2+3*x)+_
+     (-3025/2)/(3+5*x)^2+46475/(3+5*x)-424975*log(2+3*x)+424975*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                       6               5               4               3
+--R           10326892500x  + 39930651000x  + 64302117300x  + 55199152800x
+--R         + 
+--R                       2
+--R           26640832800x  + 6853996800x + 734356800
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         6               5               4               3
+--R           - 10326892500x  - 39930651000x  - 64302117300x  - 55199152800x
+--R         + 
+--R                         2
+--R           - 26640832800x  - 6853996800x - 734356800
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 5              4              3              2
+--R       688459500x  + 2226019050x  + 2877250740x  + 1858347679x  + 599747838x
+--R     + 
+--R       77372211
+--R  /
+--R           6         5          4          3         2
+--R     24300x  + 93960x  + 151308x  + 129888x  + 62688x  + 16128x + 1728
+--R                                                    Type: Expression(Integer)
+--E 497
+
+--S 498 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       6               5               4               3
+--R           10326892500x  + 39930651000x  + 64302117300x  + 55199152800x
+--R         + 
+--R                       2
+--R           26640832800x  + 6853996800x + 734356800
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         6               5               4               3
+--R           - 10326892500x  - 39930651000x  - 64302117300x  - 55199152800x
+--R         + 
+--R                         2
+--R           - 26640832800x  - 6853996800x - 734356800
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 5              4              3              2
+--R       688459500x  + 2226019050x  + 2877250740x  + 1858347679x  + 599747838x
+--R     + 
+--R       77372211
+--R  /
+--R           6         5          4          3         2
+--R     24300x  + 93960x  + 151308x  + 129888x  + 62688x  + 16128x + 1728
+--R                                         Type: Union(Expression(Integer),...)
+--E 498
+
+--S 499 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 499
+
+--S 500 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 500
+
+)spool
+)lisp (bye)
+
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/rich3e.input.pdf b/src/axiom-website/CATS/rich3e.input.pdf
new file mode 100644
index 0000000..aa0dc30
Binary files /dev/null and b/src/axiom-website/CATS/rich3e.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3f.input.pamphlet b/src/axiom-website/CATS/rich3f.input.pamphlet
new file mode 100644
index 0000000..1311f46
--- /dev/null
+++ b/src/axiom-website/CATS/rich3f.input.pamphlet
@@ -0,0 +1,6798 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3f.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 100 integrals in this file.
+\item 100 supplied "optimal results".
+\item 99 matching answers.
+\item 0 cases where Axiom supplied 2 results.
+\item 0 cases that Axiom failed to integrate.
+\item 1 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3f.output
+)spool rich3f.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(1-2*x)^2/((2+3*x)^6*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R             9          8           7           6           5           4
+--R       91125x  + 528525x  + 1362015x  + 2046843x  + 1976832x  + 1272420x
+--R     + 
+--R              3          2
+--R       545840x  + 150480x  + 24192x + 1728
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1
+
+--S 2 of 500
+r0:=49/5/(2+3*x)^5+707/4/(2+3*x)^4+6934/3/(2+3*x)^3+28555/(2+3*x)^2+_
+     424975/(2+3*x)+(-15125/2)/(3+5*x)^2+277750/(3+5*x)-_
+     2958125*log(2+3*x)+2958125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         7                 6                 5
+--R           1078236562500x  + 4888005750000x  + 9493273912500x
+--R         + 
+--R                          4                 3                 2
+--R           10239253875000x  + 6623833500000x  + 2570019000000x  + 553761000000x
+--R         + 
+--R           51116400000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           7                 6                 5
+--R           - 1078236562500x  - 4888005750000x  - 9493273912500x
+--R         + 
+--R                            4                 3                 2
+--R           - 10239253875000x  - 6623833500000x  - 2570019000000x
+--R         + 
+--R           - 553761000000x - 51116400000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   6                5                4                3
+--R       71882437500x  + 280341506250x  + 455361930000x  + 394308004875x
+--R     + 
+--R                    2
+--R       191974077080x  + 49825144515x + 5385650262
+--R  /
+--R              7           6           5           4           3          2
+--R       364500x  + 1652400x  + 3209220x  + 3461400x  + 2239200x  + 868800x
+--R     + 
+--R       187200x + 17280
+--R                                                    Type: Expression(Integer)
+--E 2
+
+--S 3 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         7                 6                 5
+--R           1078236562500x  + 4888005750000x  + 9493273912500x
+--R         + 
+--R                          4                 3                 2
+--R           10239253875000x  + 6623833500000x  + 2570019000000x  + 553761000000x
+--R         + 
+--R           51116400000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           7                 6                 5
+--R           - 1078236562500x  - 4888005750000x  - 9493273912500x
+--R         + 
+--R                            4                 3                 2
+--R           - 10239253875000x  - 6623833500000x  - 2570019000000x
+--R         + 
+--R           - 553761000000x - 51116400000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   6                5                4                3
+--R       71882437500x  + 280341506250x  + 455361930000x  + 394308004875x
+--R     + 
+--R                    2
+--R       191974077080x  + 49825144515x + 5385650262
+--R  /
+--R              7           6           5           4           3          2
+--R       364500x  + 1652400x  + 3209220x  + 3461400x  + 2239200x  + 868800x
+--R     + 
+--R       187200x + 17280
+--R                                         Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 4
+
+--S 5 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(1-2*x)^2/((2+3*x)^7*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R              10           9           8           7            6           5
+--R       273375x   + 1767825x  + 5143095x  + 8864559x  + 10024182x  + 7770924x
+--R     + 
+--R               4           3          2
+--R       4182360x  + 1543120x  + 373536x  + 53568x + 3456
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 6
+
+--S 7 of 500
+r0:=49/6/(2+3*x)^6+707/5/(2+3*x)^5+3467/2/(2+3*x)^4+57110/3/(2+3*x)^3+_
+     424975/2/(2+3*x)^2+2958125/(2+3*x)+(-75625/2)/(3+5*x)^2+_
+     1615625/(3+5*x)-19637500*log(2+3*x)+19637500*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         8                  7                  6
+--R           3578934375000x  + 18610458750000x  + 42326863875000x
+--R         + 
+--R                          5                  4                  3
+--R           54993640500000x  + 44643892500000x  + 23187960000000x
+--R         + 
+--R                         2
+--R           7525090000000x  + 1395048000000x + 113112000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           8                  7                  6
+--R           - 3578934375000x  - 18610458750000x  - 42326863875000x
+--R         + 
+--R                            5                  4                  3
+--R           - 54993640500000x  - 44643892500000x  - 23187960000000x
+--R         + 
+--R                           2
+--R           - 7525090000000x  - 1395048000000x - 113112000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    7                 6                 5                 4
+--R       238595625000x  + 1089586687500x  + 2131807725000x  + 2316445391250x
+--R     + 
+--R                     3                2
+--R       1509746867100x  + 590188362770x  + 128130976648x + 11917538647
+--R  /
+--R              8          7           6           5           4           3
+--R       182250x  + 947700x  + 2155410x  + 2800440x  + 2273400x  + 1180800x
+--R     + 
+--R              2
+--R       383200x  + 71040x + 5760
+--R                                                    Type: Expression(Integer)
+--E 7
+
+--S 8 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         8                  7                  6
+--R           3578934375000x  + 18610458750000x  + 42326863875000x
+--R         + 
+--R                          5                  4                  3
+--R           54993640500000x  + 44643892500000x  + 23187960000000x
+--R         + 
+--R                         2
+--R           7525090000000x  + 1395048000000x + 113112000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           8                  7                  6
+--R           - 3578934375000x  - 18610458750000x  - 42326863875000x
+--R         + 
+--R                            5                  4                  3
+--R           - 54993640500000x  - 44643892500000x  - 23187960000000x
+--R         + 
+--R                           2
+--R           - 7525090000000x  - 1395048000000x - 113112000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    7                 6                 5                 4
+--R       238595625000x  + 1089586687500x  + 2131807725000x  + 2316445391250x
+--R     + 
+--R                     3                2
+--R       1509746867100x  + 590188362770x  + 128130976648x + 11917538647
+--R  /
+--R              8          7           6           5           4           3
+--R       182250x  + 947700x  + 2155410x  + 2800440x  + 2273400x  + 1180800x
+--R     + 
+--R              2
+--R       383200x  + 71040x + 5760
+--R                                         Type: Union(Expression(Integer),...)
+--E 8
+
+--S 9 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 9
+
+--S 10 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(1-2*x)^2/((2+3*x)^8*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R       2
+--R     4x  - 4x + 1
+--R  /
+--R              11           10            9            8            7
+--R       820125x   + 5850225x   + 18964935x  + 36879867x  + 47801664x
+--R     + 
+--R                6            5            4           3          2
+--R       43361136x  + 28088928x  + 12994080x  + 4206848x  + 907776x  + 117504x
+--R     + 
+--R       6912
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 11
+
+--S 12 of 500
+r0:=7/(2+3*x)^7+707/6/(2+3*x)^6+6934/5/(2+3*x)^5+28555/2/(2+3*x)^4+_
+     424975/3/(2+3*x)^3+2958125/2/(2+3*x)^2+19637500/(2+3*x)+_
+     (-378125/2)/(3+5*x)^2+9212500/(3+5*x)-125825000*log(2+3*x)+_
+     125825000*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                          9                   8                    7
+--R           68794818750000x  + 403596270000000x  + 1052102094750000x
+--R         + 
+--R                            6                    5                    4
+--R           1599505015500000x  + 1562882391000000x  + 1017823590000000x
+--R         + 
+--R                         3                   2
+--R         441796740000000x  + 123248104000000x  + 20051472000000x + 1449504000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                            9                   8                    7
+--R           - 68794818750000x  - 403596270000000x  - 1052102094750000x
+--R         + 
+--R                              6                    5                    4
+--R           - 1599505015500000x  - 1562882391000000x  - 1017823590000000x
+--R         + 
+--R                             3                   2
+--R           - 441796740000000x  - 123248104000000x  - 20051472000000x
+--R         + 
+--R           - 1449504000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     8                  7                  6                  5
+--R       4586321250000x  + 24001747875000x  + 54940731300000x  + 71845684942500x
+--R     + 
+--R                      4                  3                  2
+--R       58705292494800x  + 30691745453460x  + 10026079791288x  + 1871049429619x
+--R     + 
+--R       152720488888
+--R  /
+--R              9           8           7            6            5           4
+--R       546750x  + 3207600x  + 8361630x  + 12712140x  + 12421080x  + 8089200x
+--R     + 
+--R               3          2
+--R       3511200x  + 979520x  + 159360x + 11520
+--R                                                    Type: Expression(Integer)
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                          9                   8                    7
+--R           68794818750000x  + 403596270000000x  + 1052102094750000x
+--R         + 
+--R                            6                    5                    4
+--R           1599505015500000x  + 1562882391000000x  + 1017823590000000x
+--R         + 
+--R                         3                   2
+--R         441796740000000x  + 123248104000000x  + 20051472000000x + 1449504000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                            9                   8                    7
+--R           - 68794818750000x  - 403596270000000x  - 1052102094750000x
+--R         + 
+--R                              6                    5                    4
+--R           - 1599505015500000x  - 1562882391000000x  - 1017823590000000x
+--R         + 
+--R                             3                   2
+--R           - 441796740000000x  - 123248104000000x  - 20051472000000x
+--R         + 
+--R           - 1449504000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     8                  7                  6                  5
+--R       4586321250000x  + 24001747875000x  + 54940731300000x  + 71845684942500x
+--R     + 
+--R                      4                  3                  2
+--R       58705292494800x  + 30691745453460x  + 10026079791288x  + 1871049429619x
+--R     + 
+--R       152720488888
+--R  /
+--R              9           8           7            6            5           4
+--R       546750x  + 3207600x  + 8361630x  + 12712140x  + 12421080x  + 8089200x
+--R     + 
+--R               3          2
+--R       3511200x  + 979520x  + 159360x + 11520
+--R                                         Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 14
+
+--S 15 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(1-2*x)^3*(2+3*x)^8*(3+5*x)
+--R 
+--R
+--R   (1)
+--R              12           11           10           9          8           7
+--R     - 262440x   - 1163484x   - 1966842x   - 1290573x  + 344979x  + 1027296x
+--R   + 
+--R            6          5          4         3        2
+--R     470736x  - 104736x  - 159712x  - 36864x  + 9984x  + 5888x + 768
+--R                                                    Type: Polynomial(Integer)
+--E 16
+
+--S 17 of 500
+r0:=-343/2187*(2+3*x)^9+2009/2430*(2+3*x)^10-518/891*(2+3*x)^11+_
+     107/729*(2+3*x)^12-40/3159*(2+3*x)^13
+--R 
+--R
+--R   (2)
+--R       262440  13         12   1966842  11   1290573  10         9          8
+--R     - ------ x   - 96957x   - ------- x   - ------- x   + 38331x  + 128412x
+--R         13                       11            10
+--R   + 
+--R         7         6   159712  5        4        3        2          114328576
+--R   67248x  - 17456x  - ------ x  - 9216x  + 3328x  + 2944x  + 768x + ---------
+--R                          5                                           1563705
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       262440  13         12   1966842  11   1290573  10         9          8
+--R     - ------ x   - 96957x   - ------- x   - ------- x   + 38331x  + 128412x
+--R         13                       11            10
+--R   + 
+--R           7         6   159712  5        4        3        2
+--R     67248x  - 17456x  - ------ x  - 9216x  + 3328x  + 2944x  + 768x
+--R                            5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R 
+--R
+--R          114328576
+--R   (4)  - ---------
+--R           1563705
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(1-2*x)^3*(2+3*x)^7*(3+5*x)
+--R 
+--R
+--R   (1)
+--R             11          10          9          8          7          6
+--R     - 87480x   - 329508x   - 435942x  - 139563x  + 208035x  + 203742x
+--R   + 
+--R           5         4         3        2
+--R     21084x  - 48968x  - 20592x  + 1440x  + 2368x + 384
+--R                                                    Type: Polynomial(Integer)
+--E 21
+
+--S 22 of 500
+r0:=384*x+1184*x^2+480*x^3-5148*x^4-48968/5*x^5+3514*x^6+29106*x^7+_
+     208035/8*x^8-15507*x^9-217971/5*x^10-329508/11*x^11-7290*x^12
+--R 
+--R
+--R   (2)
+--R            12   329508  11   217971  10         9   208035  8         7
+--R     - 7290x   - ------ x   - ------ x   - 15507x  + ------ x  + 29106x
+--R                   11            5                      8
+--R   + 
+--R          6   48968  5        4       3        2
+--R     3514x  - ----- x  - 5148x  + 480x  + 1184x  + 384x
+--R                5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            12   329508  11   217971  10         9   208035  8         7
+--R     - 7290x   - ------ x   - ------ x   - 15507x  + ------ x  + 29106x
+--R                   11            5                      8
+--R   + 
+--R          6   48968  5        4       3        2
+--R     3514x  - ----- x  - 5148x  + 480x  + 1184x  + 384x
+--R                5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(1-2*x)^3*(2+3*x)^6*(3+5*x)
+--R 
+--R
+--R   (1)
+--R             10         9         8         7         6         5         4
+--R     - 29160x   - 90396x  - 85050x  + 10179x  + 62559x  + 26208x  - 10444x
+--R   + 
+--R            3       2
+--R     - 9360x  - 624x  + 896x + 192
+--R                                                    Type: Polynomial(Integer)
+--E 26
+
+--S 27 of 500
+r0:=192*x+448*x^2-208*x^3-2340*x^4-10444/5*x^5+4368*x^6+8937*x^7+_
+     10179/8*x^8-9450*x^9-45198/5*x^10-29160/11*x^11
+--R 
+--R
+--R   (2)
+--R       29160  11   45198  10        9   10179  8        7        6   10444  5
+--R     - ----- x   - ----- x   - 9450x  + ----- x  + 8937x  + 4368x  - ----- x
+--R         11          5                    8                            5
+--R   + 
+--R            4       3       2
+--R     - 2340x  - 208x  + 448x  + 192x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       29160  11   45198  10        9   10179  8        7        6   10444  5
+--R     - ----- x   - ----- x   - 9450x  + ----- x  + 8937x  + 4368x  - ----- x
+--R         11          5                    8                            5
+--R   + 
+--R            4       3       2
+--R     - 2340x  - 208x  + 448x  + 192x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(1-2*x)^3*(2+3*x)^5*(3+5*x)
+--R 
+--R
+--R   (1)
+--R            9         8         7         6         5      4        3       2
+--R     - 9720x  - 23652x  - 12582x  + 11781x  + 12999x  + 70x  - 3528x  - 768x
+--R   + 
+--R     304x + 96
+--R                                                    Type: Polynomial(Integer)
+--E 31
+
+--S 32 of 500
+r0:=96*x+152*x^2-256*x^3-882*x^4+14*x^5+4333/2*x^6+1683*x^7-6291/4*x^8-_
+     2628*x^9-972*x^10
+--R 
+--R
+--R   (2)
+--R           10        9   6291  8        7   4333  6      5       4       3
+--R     - 972x   - 2628x  - ---- x  + 1683x  + ---- x  + 14x  - 882x  - 256x
+--R                           4                  2
+--R   + 
+--R         2
+--R     152x  + 96x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           10        9   6291  8        7   4333  6      5       4       3
+--R     - 972x   - 2628x  - ---- x  + 1683x  + ---- x  + 14x  - 882x  - 256x
+--R                           4                  2
+--R   + 
+--R         2
+--R     152x  + 96x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(1-2*x)^3*(2+3*x)^4*(3+5*x)
+--R 
+--R
+--R   (1)
+--R          8        7       6        5        4        3       2
+--R   - 3240x  - 5724x  - 378x  + 4179x  + 1547x  - 1008x  - 504x  + 80x + 48
+--R                                                    Type: Polynomial(Integer)
+--E 36
+
+--S 37 of 500
+r0:=48*x+40*x^2-168*x^3-252*x^4+1547/5*x^5+1393/2*x^6-54*x^7-1431/2*x^8-360*x^9
+--R 
+--R
+--R   (2)
+--R         9   1431  8      7   1393  6   1547  5       4       3      2
+--R   - 360x  - ---- x  - 54x  + ---- x  + ---- x  - 252x  - 168x  + 40x  + 48x
+--R               2                2         5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R         9   1431  8      7   1393  6   1547  5       4       3      2
+--R   - 360x  - ---- x  - 54x  + ---- x  + ---- x  - 252x  - 168x  + 40x  + 48x
+--R               2                2         5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(1-2*x)^3*(2+3*x)^3*(3+5*x)
+--R 
+--R
+--R               7        6       5       4       3       2
+--R   (1)  - 1080x  - 1188x  + 666x  + 949x  - 117x  - 258x  + 4x + 24
+--R                                                    Type: Polynomial(Integer)
+--E 41
+
+--S 42 of 500
+r0:=24*x+2*x^2-86*x^3-117/4*x^4+949/5*x^5+111*x^6-1188/7*x^7-135*x^8
+--R 
+--R
+--R              8   1188  7       6   949  5   117  4      3     2
+--R   (2)  - 135x  - ---- x  + 111x  + --- x  - --- x  - 86x  + 2x  + 24x
+--R                    7                5        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              8   1188  7       6   949  5   117  4      3     2
+--R   (3)  - 135x  - ---- x  + 111x  + --- x  - --- x  - 86x  + 2x  + 24x
+--R                    7                5        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(1-2*x)^3*(2+3*x)^2*(3+5*x)
+--R 
+--R
+--R              6       5       4      3       2
+--R   (1)  - 360x  - 156x  + 326x  + 99x  - 105x  - 16x + 12
+--R                                                    Type: Polynomial(Integer)
+--E 46
+
+--S 47 of 500
+r0:=12*x-8*x^2-35*x^3+99/4*x^4+326/5*x^5-26*x^6-360/7*x^7
+--R 
+--R
+--R          360  7      6   326  5   99  4      3     2
+--R   (2)  - --- x  - 26x  + --- x  + -- x  - 35x  - 8x  + 12x
+--R           7               5        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          360  7      6   326  5   99  4      3     2
+--R   (3)  - --- x  - 26x  + --- x  + -- x  - 35x  - 8x  + 12x
+--R           7               5        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(1-2*x)^3*(2+3*x)*(3+5*x)
+--R 
+--R
+--R              5      4      3      2
+--R   (1)  - 120x  + 28x  + 90x  - 27x  - 17x + 6
+--R                                                    Type: Polynomial(Integer)
+--E 51
+
+--S 52 of 500
+r0:=6*x-17/2*x^2-9*x^3+45/2*x^4+28/5*x^5-20*x^6
+--R 
+--R
+--R             6   28  5   45  4     3   17  2
+--R   (2)  - 20x  + -- x  + -- x  - 9x  - -- x  + 6x
+--R                  5       2             2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R             6   28  5   45  4     3   17  2
+--R   (3)  - 20x  + -- x  + -- x  - 9x  - -- x  + 6x
+--R                  5       2             2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(1-2*x)^3*(3+5*x)
+--R 
+--R
+--R             4      3     2
+--R   (1)  - 40x  + 36x  + 6x  - 13x + 3
+--R                                                    Type: Polynomial(Integer)
+--E 56
+
+--S 57 of 500
+r0:=3*x-13/2*x^2+2*x^3+9*x^4-8*x^5
+--R 
+--R
+--R            5     4     3   13  2
+--R   (2)  - 8x  + 9x  + 2x  - -- x  + 3x
+--R                             2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R            5     4     3   13  2
+--R   (3)  - 8x  + 9x  + 2x  - -- x  + 3x
+--R                             2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)
+--R 
+--R
+--R             4      3     2
+--R        - 40x  + 36x  + 6x  - 13x + 3
+--R   (1)  -----------------------------
+--R                    3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=293/81*x-161/27*x^2+188/27*x^3-10/3*x^4-343/243*log(2+3*x)
+--R 
+--R
+--R                               4        3        2
+--R        - 343log(3x + 2) - 810x  + 1692x  - 1449x  + 879x
+--R   (2)  -------------------------------------------------
+--R                               243
+--R                                                    Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               4        3        2
+--R        - 343log(3x + 2) - 810x  + 1692x  - 1449x  + 879x
+--R   (3)  -------------------------------------------------
+--R                               243
+--R                                         Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^2
+--R 
+--R
+--R             4      3     2
+--R        - 40x  + 36x  + 6x  - 13x + 3
+--R   (1)  -----------------------------
+--R                  2
+--R                9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=-286/27*x+134/27*x^2-40/27*x^3+343/243/(2+3*x)+2009/243*log(2+3*x)
+--R 
+--R
+--R                                         4        3        2
+--R        (6027x + 4018)log(3x + 2) - 1080x  + 2898x  - 5310x  - 5148x + 343
+--R   (2)  ------------------------------------------------------------------
+--R                                    729x + 486
+--R                                                    Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                         4        3        2
+--R        (6027x + 4018)log(3x + 2) - 1080x  + 2898x  - 5310x  - 5148x + 343
+--R   (3)  ------------------------------------------------------------------
+--R                                    729x + 486
+--R                                         Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^3
+--R 
+--R
+--R             4      3     2
+--R        - 40x  + 36x  + 6x  - 13x + 3
+--R   (1)  -----------------------------
+--R               3      2
+--R            27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=116/27*x-20/27*x^2+343/486/(2+3*x)^2+(-2009/243)/(2+3*x)-518/81*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                2                                     4         3         2
+--R       (- 27972x  - 37296x - 12432)log(3x + 2) - 3240x  + 14472x  + 23616x
+--R     + 
+--R       - 3702x - 7693
+--R  /
+--R          2
+--R     4374x  + 5832x + 1944
+--R                                                    Type: Expression(Integer)
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2                                     4         3         2
+--R       (- 27972x  - 37296x - 12432)log(3x + 2) - 3240x  + 14472x  + 23616x
+--R     + 
+--R       - 3702x - 7693
+--R  /
+--R          2
+--R     4374x  + 5832x + 1944
+--R                                         Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^4
+--R 
+--R
+--R              4      3     2
+--R         - 40x  + 36x  + 6x  - 13x + 3
+--R   (1)  -------------------------------
+--R           4       3       2
+--R        81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=-40/81*x+343/729/(2+3*x)^3+(-2009/486)/(2+3*x)^2+518/81/(2+3*x)+_
+     428/243*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R              3          2                                      4         3
+--R       (69336x  + 138672x  + 92448x + 20544)log(3x + 2) - 19440x  - 38880x
+--R     + 
+--R             2
+--R       57996x  + 88047x + 25928
+--R  /
+--R           3         2
+--R     39366x  + 78732x  + 52488x + 11664
+--R                                                    Type: Expression(Integer)
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              3          2                                      4         3
+--R       (69336x  + 138672x  + 92448x + 20544)log(3x + 2) - 19440x  - 38880x
+--R     + 
+--R             2
+--R       57996x  + 88047x + 25928
+--R  /
+--R           3         2
+--R     39366x  + 78732x  + 52488x + 11664
+--R                                         Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^5
+--R 
+--R
+--R                    4      3     2
+--R               - 40x  + 36x  + 6x  - 13x + 3
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=343/972/(2+3*x)^4+(-2009/729)/(2+3*x)^3+259/81/(2+3*x)^2+_
+     (-428/243)/(2+3*x)-40/243*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                4          3          2                                      3
+--R       (- 38880x  - 103680x  - 103680x  - 46080x - 7680)log(3x + 2) - 138672x
+--R     + 
+--R                2
+--R       - 193428x  - 97116x - 18835
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                                    Type: Expression(Integer)
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                4          3          2                                      3
+--R       (- 38880x  - 103680x  - 103680x  - 46080x - 7680)log(3x + 2) - 138672x
+--R     + 
+--R                2
+--R       - 193428x  - 97116x - 18835
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                         Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^6
+--R 
+--R
+--R                         4      3     2
+--R                    - 40x  + 36x  + 6x  - 13x + 3
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 86
+
+--S 87 of 500
+r0:=1/105*(1-2*x)^4/(2+3*x)^5-173/2940*(1-2*x)^4/(2+3*x)^4
+--R 
+--R
+--R           692   5    64   4     38   3     58   2     5        53
+--R        - ----- x  + ---- x  - ----- x  - ----- x  + ---- x - ------
+--R          59535      3969      11907      11907      1764     119070
+--R   (2)  ------------------------------------------------------------
+--R                    5   10  4   40  3   80  2   80      32
+--R                   x  + -- x  + -- x  + -- x  + -- x + ---
+--R                         3       9      27      81     243
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 87
+
+--S 88 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                         4         3         2
+--R                   64800x  + 57240x  + 34920x  + 16905x + 1282
+--R   (3)  -----------------------------------------------------------------
+--R                5           4           3           2
+--R        1180980x  + 3936600x  + 5248800x  + 3499200x  + 1166400x + 155520
+--R                                         Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 500
+m0:=a0-r0
+--R 
+--R
+--R         692
+--R   (4)  -----
+--R        59535
+--R                                                    Type: Expression(Integer)
+--E 89
+
+--S 90 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^7
+--R 
+--R
+--R                                 4      3     2
+--R                            - 40x  + 36x  + 6x  - 13x + 3
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 91
+
+--S 92 of 500
+r0:=1/126*(1-2*x)^4/(2+3*x)^6-103/2205*(1-2*x)^4/(2+3*x)^5-_
+     103/30870*(1-2*x)^4/(2+3*x)^4
+--R 
+--R
+--R   (2)
+--R           824    6     3296   5    44   4     316   3     659   2     349
+--R       - ------- x  - ------- x  + ---- x  - ------ x  - ------ x  + ------ x
+--R         1250235      1250235      9261      250047      500094      416745
+--R     + 
+--R           113
+--R       - ------
+--R         833490
+--R  /
+--R      6     5   20  4   160  3   80  2   64      64
+--R     x  + 4x  + -- x  + --- x  + -- x  + -- x + ---
+--R                 3       27      27      81     729
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           4         3        2
+--R     48600x  + 14040x  + 3375x  + 7218x - 413
+--R  /
+--R               6            5            4            3            2
+--R       5314410x  + 21257640x  + 35429400x  + 31492800x  + 15746400x  + 4199040x
+--R     + 
+--R       466560
+--R                                         Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R 
+--R
+--R          824
+--R   (4)  -------
+--R        1250235
+--R                                                    Type: Expression(Integer)
+--E 94
+
+--S 95 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R          4      3     2
+--R     - 40x  + 36x  + 6x  - 13x + 3
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 96
+
+--S 97 of 500
+r0:=49/243/(2+3*x)^7+(-2009/1458)/(2+3*x)^6+518/405/(2+3*x)^5+_
+     (-107/243)/(2+3*x)^4+40/729/(2+3*x)^3
+--R 
+--R
+--R              40   4     1    3     56    2     1531        302
+--R            ----- x  - ----- x  - ------ x  + ------- x - -------
+--R            19683      59049      295245      5314410     7971615
+--R   (2)  ------------------------------------------------------------
+--R         7   14  6   28  5   280  4   560  3   224  2   448      128
+--R        x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R              3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           4       3        2
+--R     32400x  - 270x  - 3024x  + 4593x - 604
+--R  /
+--R                7            6             5             4             3
+--R       15943230x  + 74401740x  + 148803480x  + 165337200x  + 110224800x
+--R     + 
+--R                2
+--R       44089920x  + 9797760x + 933120
+--R                                         Type: Union(Expression(Integer),...)
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(1-2*x)^3*(2+3*x)^8*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R               13           12            11            10           9
+--R     - 1312200x   - 6604740x   - 13324662x   - 12353391x   - 2146824x
+--R   + 
+--R             8           7          6           5          4         3         2
+--R     6171417x  + 5435568x  + 888528x  - 1112768x  - 663456x  - 60672x  + 59392x
+--R   + 
+--R     21504x + 2304
+--R                                                    Type: Polynomial(Integer)
+--E 101
+
+--S 102 of 500
+r0:=2304*x+10752*x^2+59392/3*x^3-15168*x^4-663456/5*x^5-556384/3*x^6+_
+     888528/7*x^7+679446*x^8+685713*x^9-1073412/5*x^10-_
+     12353391/11*x^11-2220777/2*x^12-6604740/13*x^13-656100/7*x^14
+--R 
+--R
+--R   (2)
+--R       656100  14   6604740  13   2220777  12   12353391  11   1073412  10
+--R     - ------ x   - ------- x   - ------- x   - -------- x   - ------- x
+--R          7            13            2             11             5
+--R   + 
+--R            9          8   888528  7   556384  6   663456  5         4
+--R     685713x  + 679446x  + ------ x  - ------ x  - ------ x  - 15168x
+--R                              7           3           5
+--R   + 
+--R     59392  3         2
+--R     ----- x  + 10752x  + 2304x
+--R       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       656100  14   6604740  13   2220777  12   12353391  11   1073412  10
+--R     - ------ x   - ------- x   - ------- x   - -------- x   - ------- x
+--R          7            13            2             11             5
+--R   + 
+--R            9          8   888528  7   556384  6   663456  5         4
+--R     685713x  + 679446x  + ------ x  - ------ x  - ------ x  - 15168x
+--R                              7           3           5
+--R   + 
+--R     59392  3         2
+--R     ----- x  + 10752x  + 2304x
+--R       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(1-2*x)^3*(2+3*x)^7*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R              12           11           10           9          8           7
+--R     - 437400x   - 1909980x   - 3168234x   - 2005641x  + 621486x  + 1642815x
+--R   + 
+--R            6          5          4         3         2
+--R     716646x  - 181588x  - 249864x  - 54576x  + 16160x  + 9024x + 1152
+--R                                                    Type: Polynomial(Integer)
+--E 106
+
+--S 107 of 500
+r0:=1152*x+4512*x^2+16160/3*x^3-13644*x^4-249864/5*x^5-90794/3*x^6+_
+     102378*x^7+1642815/8*x^8+69054*x^9-2005641/10*x^10-3168234/11*x^11-_
+     159165*x^12-437400/13*x^13
+--R 
+--R
+--R   (2)
+--R       437400  13          12   3168234  11   2005641  10         9   1642815  8
+--R     - ------ x   - 159165x   - ------- x   - ------- x   + 69054x  + ------- x
+--R         13                        11            10                      8
+--R   + 
+--R            7   90794  6   249864  5         4   16160  3        2
+--R     102378x  - ----- x  - ------ x  - 13644x  + ----- x  + 4512x  + 1152x
+--R                  3           5                    3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       437400  13          12   3168234  11   2005641  10         9   1642815  8
+--R     - ------ x   - 159165x   - ------- x   - ------- x   + 69054x  + ------- x
+--R         13                        11            10                      8
+--R   + 
+--R            7   90794  6   249864  5         4   16160  3        2
+--R     102378x  - ----- x  - ------ x  - 13644x  + ----- x  + 4512x  + 1152x
+--R                  3           5                    3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(1-2*x)^3*(2+3*x)^6*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R              11          10          9          8          7          6
+--R     - 145800x   - 539460x   - 696438x  - 204255x  + 343332x  + 318717x
+--R   + 
+--R           5         4         3        2
+--R     26404x  - 78132x  - 31200x  + 2608x  + 3648x + 576
+--R                                                    Type: Polynomial(Integer)
+--E 111
+
+--S 112 of 500
+r0:=576*x+1824*x^2+2608/3*x^3-7800*x^4-78132/5*x^5+13202/3*x^6+45531*x^7+_
+     85833/2*x^8-22695*x^9-348219/5*x^10-539460/11*x^11-12150*x^12
+--R 
+--R
+--R   (2)
+--R             12   539460  11   348219  10         9   85833  8         7
+--R     - 12150x   - ------ x   - ------ x   - 22695x  + ----- x  + 45531x
+--R                    11            5                     2
+--R   + 
+--R     13202  6   78132  5        4   2608  3        2
+--R     ----- x  - ----- x  - 7800x  + ---- x  + 1824x  + 576x
+--R       3          5                   3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R             12   539460  11   348219  10         9   85833  8         7
+--R     - 12150x   - ------ x   - ------ x   - 22695x  + ----- x  + 45531x
+--R                    11            5                     2
+--R   + 
+--R     13202  6   78132  5        4   2608  3        2
+--R     ----- x  - ----- x  - 7800x  + ---- x  + 1824x  + 576x
+--R       3          5                   3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(1-2*x)^3*(2+3*x)^5*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R             10          9          8         7          6         5         4
+--R     - 48600x   - 147420x  - 133866x  + 21159x  + 100338x  + 39347x  - 17430x
+--R   + 
+--R             3       2
+--R     - 14424x  - 784x  + 1392x + 288
+--R                                                    Type: Polynomial(Integer)
+--E 116
+
+--S 117 of 500
+r0:=288*x+696*x^2-784/3*x^3-3606*x^4-3486*x^5+39347/6*x^6+14334*x^7+_
+     21159/8*x^8-14874*x^9-14742*x^10-48600/11*x^11
+--R 
+--R
+--R   (2)
+--R       48600  11         10         9   21159  8         7   39347  6        5
+--R     - ----- x   - 14742x   - 14874x  + ----- x  + 14334x  + ----- x  - 3486x
+--R         11                               8                    6
+--R   + 
+--R            4   784  3       2
+--R     - 3606x  - --- x  + 696x  + 288x
+--R                 3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       48600  11         10         9   21159  8         7   39347  6        5
+--R     - ----- x   - 14742x   - 14874x  + ----- x  + 14334x  + ----- x  - 3486x
+--R         11                               8                    6
+--R   + 
+--R            4   784  3       2
+--R     - 3606x  - --- x  + 696x  + 288x
+--R                 3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(1-2*x)^3*(2+3*x)^4*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R             9         8         7         6         5       4        3        2
+--R     - 16200x  - 38340x  - 19062x  + 19761x  + 20272x  - 399x  - 5544x  - 1112x
+--R   + 
+--R     480x + 144
+--R                                                    Type: Polynomial(Integer)
+--E 121
+
+--S 122 of 500
+r0:=144*x+240*x^2-1112/3*x^3-1386*x^4-399/5*x^5+10136/3*x^6+2823*x^7-_
+     9531/4*x^8-4260*x^9-1620*x^10
+--R 
+--R
+--R   (2)
+--R            10        9   9531  8        7   10136  6   399  5        4
+--R     - 1620x   - 4260x  - ---- x  + 2823x  + ----- x  - --- x  - 1386x
+--R                            4                  3         5
+--R   + 
+--R       1112  3       2
+--R     - ---- x  + 240x  + 144x
+--R         3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            10        9   9531  8        7   10136  6   399  5        4
+--R     - 1620x   - 4260x  - ---- x  + 2823x  + ----- x  - --- x  - 1386x
+--R                            4                  3         5
+--R   + 
+--R       1112  3       2
+--R     - ---- x  + 240x  + 144x
+--R         3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(1-2*x)^3*(2+3*x)^3*(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R          8        7       6        5        4        3       2
+--R   - 5400x  - 9180x  - 234x  + 6743x  + 2262x  - 1641x  - 754x  + 132x + 72
+--R                                                    Type: Polynomial(Integer)
+--E 126
+
+--S 127 of 500
+r0:=72*x+66*x^2-754/3*x^3-1641/4*x^4+2262/5*x^5+6743/6*x^6-234/7*x^7-_
+     2295/2*x^8-600*x^9
+--R 
+--R
+--R   (2)
+--R           9   2295  8   234  7   6743  6   2262  5   1641  4   754  3      2
+--R     - 600x  - ---- x  - --- x  + ---- x  + ---- x  - ---- x  - --- x  + 66x
+--R                 2        7         6         5         4        3
+--R   + 
+--R     72x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R           9   2295  8   234  7   6743  6   2262  5   1641  4   754  3      2
+--R     - 600x  - ---- x  - --- x  + ---- x  + ---- x  - ---- x  - --- x  + 66x
+--R                 2        7         6         5         4        3
+--R   + 
+--R     72x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(1-2*x)^3*(2+3*x)^2*(3+5*x)^2
+--R 
+--R
+--R               7        6        5        4       3       2
+--R   (1)  - 1800x  - 1860x  + 1162x  + 1473x  - 228x  - 395x  + 12x + 36
+--R                                                    Type: Polynomial(Integer)
+--E 131
+
+--S 132 of 500
+r0:=36*x+6*x^2-395/3*x^3-57*x^4+1473/5*x^5+581/3*x^6-1860/7*x^7-225*x^8
+--R 
+--R
+--R              8   1860  7   581  6   1473  5      4   395  3     2
+--R   (2)  - 225x  - ---- x  + --- x  + ---- x  - 57x  - --- x  + 6x  + 36x
+--R                    7        3         5               3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              8   1860  7   581  6   1473  5      4   395  3     2
+--R   (3)  - 225x  - ---- x  + --- x  + ---- x  - 57x  - --- x  + 6x  + 36x
+--R                    7        3         5               3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(1-2*x)^3*(2+3*x)*(3+5*x)^2
+--R 
+--R
+--R              6       5       4       3       2
+--R   (1)  - 600x  - 220x  + 534x  + 135x  - 166x  - 21x + 18
+--R                                                    Type: Polynomial(Integer)
+--E 136
+
+--S 137 of 500
+r0:=18*x-21/2*x^2-166/3*x^3+135/4*x^4+534/5*x^5-110/3*x^6-600/7*x^7
+--R 
+--R
+--R          600  7   110  6   534  5   135  4   166  3   21  2
+--R   (2)  - --- x  - --- x  + --- x  + --- x  - --- x  - -- x  + 18x
+--R           7        3        5        4        3        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          600  7   110  6   534  5   135  4   166  3   21  2
+--R   (3)  - --- x  - --- x  + --- x  + --- x  - --- x  - -- x  + 18x
+--R           7        3        5        4        3        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(1-2*x)^3*(3+5*x)^2
+--R 
+--R
+--R              5      4       3      2
+--R   (1)  - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R                                                    Type: Polynomial(Integer)
+--E 141
+
+--S 142 of 500
+r0:=9*x-12*x^2-47/3*x^3+69/2*x^4+12*x^5-100/3*x^6
+--R 
+--R
+--R          100  6      5   69  4   47  3      2
+--R   (2)  - --- x  + 12x  + -- x  - -- x  - 12x  + 9x
+--R           3               2       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          100  6      5   69  4   47  3      2
+--R   (3)  - --- x  + 12x  + -- x  - -- x  - 12x  + 9x
+--R           3               2       3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)
+--R 
+--R
+--R              5      4       3      2
+--R        - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R   (1)  ---------------------------------------
+--R                         3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=922/243*x-1433/162*x^2+82/81*x^3+145/9*x^4-40/3*x^5+343/729*log(2+3*x)
+--R 
+--R
+--R                               5         4        3         2
+--R        686log(3x + 2) - 19440x  + 23490x  + 1476x  - 12897x  + 5532x
+--R   (2)  -------------------------------------------------------------
+--R                                     1458
+--R                                                    Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               5         4        3         2
+--R        686log(3x + 2) - 19440x  + 23490x  + 1476x  - 12897x  + 5532x
+--R   (3)  -------------------------------------------------------------
+--R                                     1458
+--R                                         Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^2
+--R 
+--R
+--R              5      4       3      2
+--R        - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R   (1)  ---------------------------------------
+--R                       2
+--R                     9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=2323/243*x-313/27*x^2+980/81*x^3-50/9*x^4+(-343/729)/(2+3*x)-_
+     3724/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                                            5         4        3        2
+--R       (- 11172x - 7448)log(3x + 2) - 12150x  + 18360x  - 7713x  + 4005x
+--R     + 
+--R       13938x - 343
+--R  /
+--R     2187x + 1458
+--R                                                    Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                            5         4        3        2
+--R       (- 11172x - 7448)log(3x + 2) - 12150x  + 18360x  - 7713x  + 4005x
+--R     + 
+--R       13938x - 343
+--R  /
+--R     2187x + 1458
+--R                                         Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^3
+--R 
+--R
+--R              5      4       3      2
+--R        - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R   (1)  ---------------------------------------
+--R                    3      2
+--R                 27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=-1546/81*x+230/27*x^2-200/81*x^3+(-343/1458)/(2+3*x)^2+3724/729/(2+3*x)+_
+     11599/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R               2                                       5         4          3
+--R       (208782x  + 278376x + 92792)log(3x + 2) - 32400x  + 68580x  - 115812x
+--R     + 
+--R                2
+--R       - 284256x  - 88968x + 14553
+--R  /
+--R           2
+--R     13122x  + 17496x + 5832
+--R                                                    Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                       5         4          3
+--R       (208782x  + 278376x + 92792)log(3x + 2) - 32400x  + 68580x  - 115812x
+--R     + 
+--R                2
+--R       - 284256x  - 88968x + 14553
+--R  /
+--R           2
+--R     13122x  + 17496x + 5832
+--R                                         Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^4
+--R 
+--R
+--R              5      4       3      2
+--R        - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R   (1)  ---------------------------------------
+--R               4       3       2
+--R            81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=1780/243*x-100/81*x^2+(-343/2187)/(2+3*x)^3+1862/729/(2+3*x)^2+_
+     (-11599/729)/(2+3*x)-8198/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                 3           2                                        5
+--R       (- 664038x  - 1328076x  - 885384x - 196752)log(3x + 2) - 72900x
+--R     + 
+--R              4          3          2
+--R       286740x  + 767880x  + 241947x  - 272646x - 128359
+--R  /
+--R           3          2
+--R     59049x  + 118098x  + 78732x + 17496
+--R                                                    Type: Expression(Integer)
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 3           2                                        5
+--R       (- 664038x  - 1328076x  - 885384x - 196752)log(3x + 2) - 72900x
+--R     + 
+--R              4          3          2
+--R       286740x  + 767880x  + 241947x  - 272646x - 128359
+--R  /
+--R           3          2
+--R     59049x  + 118098x  + 78732x + 17496
+--R                                         Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^5
+--R 
+--R
+--R                5      4       3      2
+--R          - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R   (1)  ------------------------------------------
+--R            5       4        3       2
+--R        243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=-200/243*x+(-343/2916)/(2+3*x)^4+3724/2187/(2+3*x)^3+_
+     (-11599/1458)/(2+3*x)^2+8198/729/(2+3*x)+2180/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                4           3           2
+--R       (2118960x  + 5650560x  + 5650560x  + 2511360x + 418560)log(3x + 2)
+--R     + 
+--R                5           4           3           2
+--R       - 583200x  - 1555200x  + 1100952x  + 3994758x  + 2635896x + 537395
+--R  /
+--R            4           3           2
+--R     708588x  + 1889568x  + 1889568x  + 839808x + 139968
+--R                                                    Type: Expression(Integer)
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                4           3           2
+--R       (2118960x  + 5650560x  + 5650560x  + 2511360x + 418560)log(3x + 2)
+--R     + 
+--R                5           4           3           2
+--R       - 583200x  - 1555200x  + 1100952x  + 3994758x  + 2635896x + 537395
+--R  /
+--R            4           3           2
+--R     708588x  + 1889568x  + 1889568x  + 839808x + 139968
+--R                                         Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^6
+--R 
+--R
+--R                     5      4       3      2
+--R               - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-343/3645)/(2+3*x)^5+931/729/(2+3*x)^4+(-11599/2187)/(2+3*x)^3+_
+     4099/729/(2+3*x)^2+(-2180/729)/(2+3*x)-200/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                   5           4           3           2
+--R         (- 729000x  - 2430000x  - 3240000x  - 2160000x  - 720000x - 96000)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4           3           2
+--R       - 2648700x  - 5403105x  - 4264965x  - 1579785x - 236399
+--R  /
+--R             5           4            3           2
+--R     2657205x  + 8857350x  + 11809800x  + 7873200x  + 2624400x + 349920
+--R                                                    Type: Expression(Integer)
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                   5           4           3           2
+--R         (- 729000x  - 2430000x  - 3240000x  - 2160000x  - 720000x - 96000)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4           3           2
+--R       - 2648700x  - 5403105x  - 4264965x  - 1579785x - 236399
+--R  /
+--R             5           4            3           2
+--R     2657205x  + 8857350x  + 11809800x  + 7873200x  + 2624400x + 349920
+--R                                         Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^7
+--R 
+--R
+--R                             5      4       3      2
+--R                       - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 176
+
+--S 177 of 500
+r0:=(-343/4374)/(2+3*x)^6+3724/3645/(2+3*x)^5+(-11599/2916)/(2+3*x)^4+_
+     8198/2187/(2+3*x)^3+(-1090/729)/(2+3*x)^2+200/729/(2+3*x)
+--R 
+--R
+--R         200  5    910  4    6038  3    13345  2    15289       19643
+--R        ---- x  + ---- x  + ----- x  + ------ x  + ------ x + --------
+--R        2187      6561      59049      236196      885735     15943230
+--R   (2)  --------------------------------------------------------------
+--R                 6     5   20  4   160  3   80  2   64      64
+--R                x  + 4x  + -- x  + --- x  + -- x  + -- x + ---
+--R                            3       27      27      81     729
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 177
+
+--S 178 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R             5           4           3           2
+--R     2916000x  + 4422600x  + 3260520x  + 1801575x  + 550404x + 39286
+--R  /
+--R                6             5             4             3            2
+--R       31886460x  + 127545840x  + 212576400x  + 188956800x  + 94478400x
+--R     + 
+--R       25194240x + 2799360
+--R                                         Type: Union(Expression(Integer),...)
+--E 178
+
+--S 179 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 179
+
+--S 180 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R           5      4       3      2
+--R     - 200x  + 60x  + 138x  - 47x  - 24x + 9
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 181
+
+--S 182 of 500
+r0:=(-49/729)/(2+3*x)^7+1862/2187/(2+3*x)^6+(-11599/3645)/(2+3*x)^5+_
+     4099/1458/(2+3*x)^4+(-2180/2187)/(2+3*x)^3+100/729/(2+3*x)^2
+--R 
+--R
+--R         100  5    820   4    1417   3    2686   2    10232        1763
+--R        ---- x  + ----- x  + ------ x  + ------ x  + ------- x - --------
+--R        6561      59049      354294      885735      7971615     23914845
+--R   (2)  -----------------------------------------------------------------
+--R            7   14  6   28  5   280  4   560  3   224  2   448      128
+--R           x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R                 3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            5          4          3          2
+--R     729000x  + 664200x  + 191295x  + 145044x  + 61392x - 3526
+--R  /
+--R                7             6             5             4             3
+--R       47829690x  + 223205220x  + 446410440x  + 496011600x  + 330674400x
+--R     + 
+--R                 2
+--R       132269760x  + 29393280x + 2799360
+--R                                         Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 184
+
+--S 185 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(1-2*x)^3*(2+3*x)^7*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R               13            12            11            10           9
+--R     - 2187000x   - 10862100x   - 21571110x   - 19532907x   - 2909493x
+--R   + 
+--R              8           7           6           5           4         3
+--R     10078533x  + 8511675x  + 1241998x  - 1794084x  - 1022472x  - 82928x
+--R   + 
+--R           2
+--R     93600x  + 32832x + 3456
+--R                                                    Type: Polynomial(Integer)
+--E 186
+
+--S 187 of 500
+r0:=3456*x+16416*x^2+31200*x^3-20732*x^4-1022472/5*x^5-299014*x^6+_
+     1241998/7*x^7+8511675/8*x^8+1119837*x^9-2909493/10*x^10-_
+     19532907/11*x^11-3595185/2*x^12-10862100/13*x^13-1093500/7*x^14
+--R 
+--R
+--R   (2)
+--R       1093500  14   10862100  13   3595185  12   19532907  11   2909493  10
+--R     - ------- x   - -------- x   - ------- x   - -------- x   - ------- x
+--R          7             13             2             11             10
+--R   + 
+--R             9   8511675  8   1241998  7          6   1022472  5         4
+--R     1119837x  + ------- x  + ------- x  - 299014x  - ------- x  - 20732x
+--R                    8            7                       5
+--R   + 
+--R           3         2
+--R     31200x  + 16416x  + 3456x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       1093500  14   10862100  13   3595185  12   19532907  11   2909493  10
+--R     - ------- x   - -------- x   - ------- x   - -------- x   - ------- x
+--R          7             13             2             11             10
+--R   + 
+--R             9   8511675  8   1241998  7          6   1022472  5         4
+--R     1119837x  + ------- x  + ------- x  - 299014x  - ------- x  - 20732x
+--R                    8            7                       5
+--R   + 
+--R           3         2
+--R     31200x  + 16416x  + 3456x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(1-2*x)^3*(2+3*x)^6*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R              12           11           10           9           8           7
+--R     - 729000x   - 3134700x   - 5100570x   - 3110589x  + 1103895x  + 2623581x
+--R   + 
+--R             6          5          4         3         2
+--R     1088171x  - 311448x  - 390396x  - 80560x  + 26064x  + 13824x + 1728
+--R                                                    Type: Polynomial(Integer)
+--E 191
+
+--S 192 of 500
+r0:=1728*x+6912*x^2+8688*x^3-20140*x^4-390396/5*x^5-51908*x^6+_
+     155453*x^7+2623581/8*x^8+122655*x^9-3110589/10*x^10-5100570/11*x^11-_
+     261225*x^12-729000/13*x^13
+--R 
+--R
+--R   (2)
+--R       729000  13          12   5100570  11   3110589  10          9
+--R     - ------ x   - 261225x   - ------- x   - ------- x   + 122655x
+--R         13                        11            10
+--R   + 
+--R     2623581  8          7         6   390396  5         4        3        2
+--R     ------- x  + 155453x  - 51908x  - ------ x  - 20140x  + 8688x  + 6912x
+--R        8                                 5
+--R   + 
+--R     1728x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       729000  13          12   5100570  11   3110589  10          9
+--R     - ------ x   - 261225x   - ------- x   - ------- x   + 122655x
+--R         13                        11            10
+--R   + 
+--R     2623581  8          7         6   390396  5         4        3        2
+--R     ------- x  + 155453x  - 51908x  - ------ x  - 20140x  + 8688x  + 6912x
+--R        8                                 5
+--R   + 
+--R     1728x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(1-2*x)^3*(2+3*x)^5*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R              11          10           9          8          7          6
+--R     - 243000x   - 882900x   - 1111590x  - 295803x  + 565167x  + 497749x
+--R   + 
+--R           5          4         3        2
+--R     30891x  - 124410x  - 47192x  + 4608x  + 5616x + 864
+--R                                                    Type: Polynomial(Integer)
+--E 196
+
+--S 197 of 500
+r0:=864*x+2808*x^2+1536*x^3-11798*x^4-24882*x^5+10297/2*x^6+_
+     71107*x^7+565167/8*x^8-32867*x^9-111159*x^10-882900/11*x^11-20250*x^12
+--R 
+--R
+--R   (2)
+--R             12   882900  11          10         9   565167  8         7
+--R     - 20250x   - ------ x   - 111159x   - 32867x  + ------ x  + 71107x
+--R                    11                                  8
+--R   + 
+--R     10297  6         5         4        3        2
+--R     ----- x  - 24882x  - 11798x  + 1536x  + 2808x  + 864x
+--R       2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R             12   882900  11          10         9   565167  8         7
+--R     - 20250x   - ------ x   - 111159x   - 32867x  + ------ x  + 71107x
+--R                    11                                  8
+--R   + 
+--R     10297  6         5         4        3        2
+--R     ----- x  - 24882x  - 11798x  + 1536x  + 2808x  + 864x
+--R       2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(1-2*x)^3*(2+3*x)^4*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             10          9          8         7          6         5         4
+--R     - 81000x   - 240300x  - 210330x  + 41619x  + 160643x  + 58821x  - 28917x
+--R   + 
+--R             3       2
+--R     - 22192x  - 936x  + 2160x + 432
+--R                                                    Type: Polynomial(Integer)
+--E 201
+
+--S 202 of 500
+r0:=432*x+1080*x^2-312*x^3-5548*x^4-28917/5*x^5+19607/2*x^6+22949*x^7+_
+     41619/8*x^8-23370*x^9-24030*x^10-81000/11*x^11
+--R 
+--R
+--R   (2)
+--R       81000  11         10         9   41619  8         7   19607  6   28917  5
+--R     - ----- x   - 24030x   - 23370x  + ----- x  + 22949x  + ----- x  - ----- x
+--R         11                               8                    2          5
+--R   + 
+--R            4       3        2
+--R     - 5548x  - 312x  + 1080x  + 432x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       81000  11         10         9   41619  8         7   19607  6   28917  5
+--R     - ----- x   - 24030x   - 23370x  + ----- x  + 22949x  + ----- x  - ----- x
+--R         11                               8                    2          5
+--R   + 
+--R            4       3        2
+--R     - 5548x  - 312x  + 1080x  + 432x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(1-2*x)^3*(2+3*x)^3*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R             9         8         7         6         5        4        3
+--R     - 27000x  - 62100x  - 28710x  + 33013x  + 31539x  - 1419x  - 8693x
+--R   + 
+--R            2
+--R     - 1602x  + 756x + 216
+--R                                                    Type: Polynomial(Integer)
+--E 206
+
+--S 207 of 500
+r0:=216*x+378*x^2-534*x^3-8693/4*x^4-1419/5*x^5+10513/2*x^6+33013/7*x^7-_
+     14355/4*x^8-6900*x^9-2700*x^10
+--R 
+--R
+--R   (2)
+--R            10        9   14355  8   33013  7   10513  6   1419  5   8693  4
+--R     - 2700x   - 6900x  - ----- x  + ----- x  + ----- x  - ---- x  - ---- x
+--R                            4          7          2          5         4
+--R   + 
+--R           3       2
+--R     - 534x  + 378x  + 216x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            10        9   14355  8   33013  7   10513  6   1419  5   8693  4
+--R     - 2700x   - 6900x  - ----- x  + ----- x  + ----- x  - ---- x  - ---- x
+--R                            4          7          2          5         4
+--R   + 
+--R           3       2
+--R     - 534x  + 378x  + 216x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(1-2*x)^3*(2+3*x)^2*(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R          8         7       6         5        4        3        2
+--R   - 9000x  - 14700x  + 230x  + 10851x  + 3279x  - 2659x  - 1125x  + 216x + 108
+--R                                                    Type: Polynomial(Integer)
+--E 211
+
+--S 212 of 500
+r0:=108*x+108*x^2-375*x^3-2659/4*x^4+3279/5*x^5+3617/2*x^6+230/7*x^7-_
+     3675/2*x^8-1000*x^9
+--R 
+--R
+--R   (2)
+--R            9   3675  8   230  7   3617  6   3279  5   2659  4       3       2
+--R     - 1000x  - ---- x  + --- x  + ---- x  + ---- x  - ---- x  - 375x  + 108x
+--R                  2        7         2         5         4
+--R   + 
+--R     108x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R            9   3675  8   230  7   3617  6   3279  5   2659  4       3       2
+--R     - 1000x  - ---- x  + --- x  + ---- x  + ---- x  - ---- x  - 375x  + 108x
+--R                  2        7         2         5         4
+--R   + 
+--R     108x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(1-2*x)^3*(2+3*x)*(3+5*x)^3
+--R 
+--R
+--R               7        6        5        4       3       2
+--R   (1)  - 3000x  - 2900x  + 2010x  + 2277x  - 425x  - 603x  + 27x + 54
+--R                                                    Type: Polynomial(Integer)
+--E 216
+
+--S 217 of 500
+r0:=54*x+27/2*x^2-201*x^3-425/4*x^4+2277/5*x^5+335*x^6-2900/7*x^7-375*x^8
+--R 
+--R
+--R              8   2900  7       6   2277  5   425  4       3   27  2
+--R   (2)  - 375x  - ---- x  + 335x  + ---- x  - --- x  - 201x  + -- x  + 54x
+--R                    7                 5        4                2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              8   2900  7       6   2277  5   425  4       3   27  2
+--R   (3)  - 375x  - ---- x  + 335x  + ---- x  - --- x  - 201x  + -- x  + 54x
+--R                    7                 5        4                2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(1-2*x)^3*(3+5*x)^3
+--R 
+--R
+--R               6       5       4       3       2
+--R   (1)  - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R                                                    Type: Polynomial(Integer)
+--E 221
+
+--S 222 of 500
+r0:=27*x-27/2*x^2-87*x^3+179/4*x^4+174*x^5-50*x^6-1000/7*x^7
+--R 
+--R
+--R          1000  7      6       5   179  4      3   27  2
+--R   (2)  - ---- x  - 50x  + 174x  + --- x  - 87x  - -- x  + 27x
+--R            7                       4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R          1000  7      6       5   179  4      3   27  2
+--R   (3)  - ---- x  - 50x  + 174x  + --- x  - 87x  - -- x  + 27x
+--R            7                       4               2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)
+--R 
+--R
+--R               6       5       4       3       2
+--R        - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R   (1)  ---------------------------------------------------
+--R                               3x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 226
+
+--S 227 of 500
+r0:=10013/729*x-8287/486*x^2-6427/243*x^3+2815/54*x^4+220/9*x^5-500/9*x^6-_
+     343/2187*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                                 6          5          4          3         2
+--R       - 686log(3x + 2) - 243000x  + 106920x  + 228015x  - 115686x  - 74583x
+--R     + 
+--R       60078x
+--R  /
+--R     4374
+--R                                                    Type: Expression(Integer)
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                 6          5          4          3         2
+--R       - 686log(3x + 2) - 243000x  + 106920x  + 228015x  - 115686x  - 74583x
+--R     + 
+--R       60078x
+--R  /
+--R     4374
+--R                                         Type: Union(Expression(Integer),...)
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^2
+--R 
+--R
+--R               6       5       4       3       2
+--R        - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R   (1)  ---------------------------------------------------
+--R                             2
+--R                           9x  + 12x + 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=2287/729*x-5287/486*x^2-190/81*x^3+775/27*x^4-200/9*x^5+343/2187/(2+3*x)+_
+     1813/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                                            6          5          4          3
+--R       (32634x + 21756)log(3x + 2) - 291600x  + 182250x  + 220320x  - 163269x
+--R     + 
+--R               2
+--R       - 54000x  + 27444x + 686
+--R  /
+--R     13122x + 8748
+--R                                                    Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                            6          5          4          3
+--R       (32634x + 21756)log(3x + 2) - 291600x  + 182250x  + 220320x  - 163269x
+--R     + 
+--R               2
+--R       - 54000x  + 27444x + 686
+--R  /
+--R     13122x + 8748
+--R                                         Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^3
+--R 
+--R
+--R               6       5       4       3       2
+--R        - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R   (1)  ---------------------------------------------------
+--R                          3      2
+--R                       27x  + 54x  + 36x + 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=16253/729*x-1795/81*x^2+1700/81*x^3-250/27*x^4+343/4374/(2+3*x)^2+_
+     (-1813/729)/(2+3*x)-10073/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                 2                                         6          5
+--R       (- 543942x  - 725256x - 241752)log(3x + 2) - 364500x  + 340200x
+--R     + 
+--R             4         3          2
+--R       67230x  + 81702x  + 782496x  + 357438x - 21413
+--R  /
+--R           2
+--R     39366x  + 52488x + 17496
+--R                                                    Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 2                                         6          5
+--R       (- 543942x  - 725256x - 241752)log(3x + 2) - 364500x  + 340200x
+--R     + 
+--R             4         3          2
+--R       67230x  + 81702x  + 782496x  + 357438x - 21413
+--R  /
+--R           2
+--R     39366x  + 52488x + 17496
+--R                                         Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^4
+--R 
+--R
+--R               6       5       4       3       2
+--R        - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R   (1)  ---------------------------------------------------
+--R                     4       3       2
+--R                  81x  + 216x  + 216x  + 96x + 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=-24970/729*x+3550/243*x^2-1000/243*x^3+343/6561/(2+3*x)^3+_
+     (-1813/1458)/(2+3*x)^2+10073/729/(2+3*x)+66193/2187*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                 3            2                                             6
+--R       (10723266x  + 21446532x  + 14297688x + 3177264)log(3x + 2) - 1458000x
+--R     + 
+--R               5           4            3            2
+--R       2259900x  - 3727620x  - 17801640x  - 13015134x  - 1468863x + 693308
+--R  /
+--R            3          2
+--R     354294x  + 708588x  + 472392x + 104976
+--R                                                    Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 3            2                                             6
+--R       (10723266x  + 21446532x  + 14297688x + 3177264)log(3x + 2) - 1458000x
+--R     + 
+--R               5           4            3            2
+--R       2259900x  - 3727620x  - 17801640x  - 13015134x  - 1468863x + 693308
+--R  /
+--R            3          2
+--R     354294x  + 708588x  + 472392x + 104976
+--R                                         Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^5
+--R 
+--R
+--R               6       5       4       3       2
+--R        - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R   (1)  ---------------------------------------------------
+--R                 5       4        3       2
+--R             243x  + 810x  + 1080x  + 720x  + 240x + 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=9100/729*x-500/243*x^2+343/8748/(2+3*x)^4+(-1813/2187)/(2+3*x)^3+_
+     10073/1458/(2+3*x)^2+(-66193/2187)/(2+3*x)-14390/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                  4            3            2
+--R       (- 4662360x  - 12432960x  - 12432960x  - 5525760x - 920960)log(3x + 2)
+--R     + 
+--R                6           5           4           3           2
+--R       - 486000x  + 1652400x  + 6566400x  + 4903452x  - 1186182x  - 2360364x
+--R     + 
+--R       - 630195
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                                    Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  4            3            2
+--R       (- 4662360x  - 12432960x  - 12432960x  - 5525760x - 920960)log(3x + 2)
+--R     + 
+--R                6           5           4           3           2
+--R       - 486000x  + 1652400x  + 6566400x  + 4903452x  - 1186182x  - 2360364x
+--R     + 
+--R       - 630195
+--R  /
+--R            4          3          2
+--R     236196x  + 629856x  + 629856x  + 279936x + 46656
+--R                                         Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^6
+--R 
+--R
+--R                6       5       4       3       2
+--R         - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R   (1)  -----------------------------------------------------
+--R            6        5        4        3        2
+--R        729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=-1000/729*x+343/10935/(2+3*x)^5+(-1813/2916)/(2+3*x)^4+_
+     10073/2187/(2+3*x)^3+(-66193/4374)/(2+3*x)^2+14390/729/(2+3*x)+_
+     3700/729*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                      5            4            3            2
+--R             17982000x  + 59940000x  + 79920000x  + 53280000x  + 17760000x
+--R           + 
+--R             2368000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 6            5           4            3            2
+--R       - 4860000x  - 16200000x  + 1711800x  + 41807430x  + 46054440x
+--R     + 
+--R       19824285x + 3090594
+--R  /
+--R             5            4            3            2
+--R     3542940x  + 11809800x  + 15746400x  + 10497600x  + 3499200x + 466560
+--R                                                    Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      5            4            3            2
+--R             17982000x  + 59940000x  + 79920000x  + 53280000x  + 17760000x
+--R           + 
+--R             2368000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 6            5           4            3            2
+--R       - 4860000x  - 16200000x  + 1711800x  + 41807430x  + 46054440x
+--R     + 
+--R       19824285x + 3090594
+--R  /
+--R             5            4            3            2
+--R     3542940x  + 11809800x  + 15746400x  + 10497600x  + 3499200x + 466560
+--R                                         Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^7
+--R 
+--R
+--R                        6       5       4       3       2
+--R                 - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        2187x  + 10206x  + 20412x  + 22680x  + 15120x  + 6048x  + 1344x + 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=343/13122/(2+3*x)^6+(-1813/3645)/(2+3*x)^5+10073/2916/(2+3*x)^4+_
+     (-66193/6561)/(2+3*x)^3+7195/729/(2+3*x)^2+(-3700/729)/(2+3*x)-_
+     1000/2187*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                      6            5            4            3            2
+--R           - 14580000x  - 58320000x  - 97200000x  - 86400000x  - 43200000x
+--R         + 
+--R           - 11520000x - 1280000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                5             4             3            2
+--R     - 53946000x  - 144852300x  - 158427540x  - 89062425x  - 25975248x - 3165082
+--R  /
+--R                6             5             4             3            2
+--R       31886460x  + 127545840x  + 212576400x  + 188956800x  + 94478400x
+--R     + 
+--R       25194240x + 2799360
+--R                                                    Type: Expression(Integer)
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      6            5            4            3            2
+--R           - 14580000x  - 58320000x  - 97200000x  - 86400000x  - 43200000x
+--R         + 
+--R           - 11520000x - 1280000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                5             4             3            2
+--R     - 53946000x  - 144852300x  - 158427540x  - 89062425x  - 25975248x - 3165082
+--R  /
+--R                6             5             4             3            2
+--R       31886460x  + 127545840x  + 212576400x  + 188956800x  + 94478400x
+--R     + 
+--R       25194240x + 2799360
+--R                                         Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^8
+--R 
+--R
+--R   (1)
+--R            6       5       4       3       2
+--R     - 1000x  - 300x  + 870x  + 179x  - 261x  - 27x + 27
+--R  /
+--R            8         7         6          5         4         3         2
+--R       6561x  + 34992x  + 81648x  + 108864x  + 90720x  + 48384x  + 16128x
+--R     + 
+--R       3072x + 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=49/2187/(2+3*x)^7+(-1813/4374)/(2+3*x)^6+10073/3645/(2+3*x)^5+_
+     (-66193/8748)/(2+3*x)^4+14390/2187/(2+3*x)^3+(-1850/729)/(2+3*x)^2+_
+     1000/2187/(2+3*x)
+--R 
+--R
+--R   (2)
+--R   1000  6   2150  5   18890  4   146287  3    160381  2    331697        33326
+--R   ---- x  + ---- x  + ----- x  + ------ x  + ------- x  + -------- x + --------
+--R   6561      6561      59049      708588      1771470      15943230     23914845
+--R   -----------------------------------------------------------------------------
+--R             7   14  6   28  5   280  4   560  3   224  2   448      128
+--R            x  + -- x  + -- x  + --- x  + --- x  + --- x  + --- x + ----
+--R                  3       3       27       81       81      729     2187
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                6            5            4            3           2
+--R       14580000x  + 31347000x  + 30601800x  + 19748745x  + 8660574x  + 1990182x
+--R     + 
+--R       133304
+--R  /
+--R                7             6             5             4             3
+--R       95659380x  + 446410440x  + 892820880x  + 992023200x  + 661348800x
+--R     + 
+--R                 2
+--R       264539520x  + 58786560x + 5598720
+--R                                         Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(1-2*x)^3*(2+3*x)^6/(3+5*x)
+--R 
+--R
+--R   (1)
+--R              9         8        7        6        5       4        3       2
+--R       - 5832x  - 14580x  - 8262x  + 6993x  + 8316x  + 252x  - 2240x  - 528x
+--R     + 
+--R       192x + 64
+--R  /
+--R     5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 266
+
+--S 267 of 500
+r0:=41666223/1953125*x+11111259/781250*x^2-17453753/234375*x^3-_
+     5848749/62500*x^4+2212083/15625*x^5+331713/1250*x^6-40338/875*x^7-_
+     13851/50*x^8-648/5*x^9+1331/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                        9                8               7
+--R       111804log(5x + 3) - 106312500000x  - 227242968750x  - 37816875000x
+--R     + 
+--R                    6                5               4               3
+--R       217686656250x  + 116134357500x  - 76764830625x  - 61088135500x
+--R     + 
+--R                   2
+--R       11666821950x  + 17499813660x
+--R  /
+--R     820312500
+--R                                                    Type: Expression(Integer)
+--E 267
+
+--S 268 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                        9                8               7
+--R       111804log(5x + 3) - 106312500000x  - 227242968750x  - 37816875000x
+--R     + 
+--R                    6                5               4               3
+--R       217686656250x  + 116134357500x  - 76764830625x  - 61088135500x
+--R     + 
+--R                   2
+--R       11666821950x  + 17499813660x
+--R  /
+--R     820312500
+--R                                         Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 269
+
+--S 270 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(1-2*x)^3*(2+3*x)^5/(3+5*x)
+--R 
+--R
+--R               8        7       6        5        4       3       2
+--R        - 1944x  - 3564x  - 378x  + 2583x  + 1050x  - 616x  - 336x  + 48x + 32
+--R   (1)  ----------------------------------------------------------------------
+--R                                        5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 271
+
+--S 272 of 500
+r0:=4166223/390625*x-138741/156250*x^2-1703753/46875*x^3-73749/12500*x^4+_
+     243333/3125*x^5+4419/125*x^6-11988/175*x^7-243/5*x^8+_
+     1331/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                      8               7              6
+--R       111804log(5x + 3) - 7973437500x  - 11238750000x  + 5799937500x
+--R     + 
+--R                   5             4              3             2
+--R       12774982500x  - 967955625x  - 5963135500x  - 145678050x  + 1749813660x
+--R  /
+--R     164062500
+--R                                                    Type: Expression(Integer)
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                      8               7              6
+--R       111804log(5x + 3) - 7973437500x  - 11238750000x  + 5799937500x
+--R     + 
+--R                   5             4              3             2
+--R       12774982500x  - 967955625x  - 5963135500x  - 145678050x  + 1749813660x
+--R  /
+--R     164062500
+--R                                         Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(1-2*x)^3*(2+3*x)^4/(3+5*x)
+--R 
+--R
+--R              7       6       5       4      3       2
+--R        - 648x  - 756x  + 378x  + 609x  - 56x  - 168x  + 16
+--R   (1)  ---------------------------------------------------
+--R                               5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 276
+
+--S 277 of 500
+r0:=416223/78125*x-138741/31250*x^2-128753/9375*x^3+31251/2500*x^4+_
+     14958/625*x^5-306/25*x^6-648/35*x^7+1331/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                     7             6             5             4
+--R       111804log(5x + 3) - 607500000x  - 401625000x  + 785295000x  + 410169375x
+--R     + 
+--R                   3             2
+--R       - 450635500x  - 145678050x  + 174813660x
+--R  /
+--R     32812500
+--R                                                    Type: Expression(Integer)
+--E 277
+
+--S 278 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                     7             6             5             4
+--R       111804log(5x + 3) - 607500000x  - 401625000x  + 785295000x  + 410169375x
+--R     + 
+--R                   3             2
+--R       - 450635500x  - 145678050x  + 174813660x
+--R  /
+--R     32812500
+--R                                         Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 279
+
+--S 280 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(1-2*x)^3*(2+3*x)^3/(3+5*x)
+--R 
+--R
+--R              6       5       4      3      2
+--R        - 216x  - 108x  + 198x  + 71x  - 66x  - 12x + 8
+--R   (1)  -----------------------------------------------
+--R                             5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=41223/15625*x-26241/6250*x^2-5003/1875*x^3+2313/250*x^4+_
+     108/125*x^5-36/5*x^6+1331/78125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                 6          5           4           3
+--R       7986log(5x + 3) - 3375000x  + 405000x  + 4336875x  - 1250750x
+--R     + 
+--R                 2
+--R       - 1968075x  + 1236690x
+--R  /
+--R     468750
+--R                                                    Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                 6          5           4           3
+--R       7986log(5x + 3) - 3375000x  + 405000x  + 4336875x  - 1250750x
+--R     + 
+--R                 2
+--R       - 1968075x  + 1236690x
+--R  /
+--R     468750
+--R                                         Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(1-2*x)^3*(2+3*x)^2/(3+5*x)
+--R 
+--R
+--R             5      4      3      2
+--R        - 72x  + 12x  + 58x  - 15x  - 12x + 4
+--R   (1)  -------------------------------------
+--R                        5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=3723/3125*x-3741/1250*x^2+622/375*x^3+69/25*x^4-72/25*x^5+_
+     1331/15625*log(3+5*x)
+--R 
+--R
+--R                                 5          4          3          2
+--R        7986log(5x + 3) - 270000x  + 258750x  + 155500x  - 280575x  + 111690x
+--R   (2)  ---------------------------------------------------------------------
+--R                                        93750
+--R                                                    Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                 5          4          3          2
+--R        7986log(5x + 3) - 270000x  + 258750x  + 155500x  - 280575x  + 111690x
+--R   (3)  ---------------------------------------------------------------------
+--R                                        93750
+--R                                         Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(1-2*x)^3*(2+3*x)/(3+5*x)
+--R 
+--R
+--R             4      3     2
+--R        - 24x  + 20x  + 6x  - 9x + 2
+--R   (1)  ----------------------------
+--R                   5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=-27/625*x-183/125*x^2+172/75*x^3-6/5*x^4+1331/3125*log(3+5*x)
+--R 
+--R
+--R                                4         3         2
+--R        3993log(5x + 3) - 11250x  + 21500x  - 13725x  - 405x
+--R   (2)  ----------------------------------------------------
+--R                                9375
+--R                                                    Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                4         3         2
+--R        3993log(5x + 3) - 11250x  + 21500x  - 13725x  - 405x
+--R   (3)  ----------------------------------------------------
+--R                                9375
+--R                                         Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(1-2*x)^3/(3+5*x)
+--R 
+--R
+--R            3      2
+--R        - 8x  + 12x  - 6x + 1
+--R   (1)  ---------------------
+--R                5x + 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=-402/125*x+42/25*x^2-8/15*x^3+1331/625*log(3+5*x)
+--R 
+--R
+--R                               3        2
+--R        3993log(5x + 3) - 1000x  + 3150x  - 6030x
+--R   (2)  -----------------------------------------
+--R                           1875
+--R                                                    Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               3        2
+--R        3993log(5x + 3) - 1000x  + 3150x  - 6030x
+--R   (3)  -----------------------------------------
+--R                           1875
+--R                                         Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(1-2*x)^3/((2+3*x)*(3+5*x))
+--R 
+--R
+--R            3      2
+--R        - 8x  + 12x  - 6x + 1
+--R   (1)  ---------------------
+--R               2
+--R            15x  + 19x + 6
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=332/225*x-4/15*x^2-343/27*log(2+3*x)+1331/125*log(3+5*x)
+--R 
+--R
+--R                                                  2
+--R        35937log(5x + 3) - 42875log(3x + 2) - 900x  + 4980x
+--R   (2)  ---------------------------------------------------
+--R                                3375
+--R                                                    Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                                  2
+--R        35937log(5x + 3) - 42875log(3x + 2) - 900x  + 4980x
+--R   (3)  ---------------------------------------------------
+--R                                3375
+--R                                         Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(1-2*x)^3/((2+3*x)^2*(3+5*x))
+--R 
+--R
+--R             3      2
+--R         - 8x  + 12x  - 6x + 1
+--R   (1)  ----------------------
+--R           3      2
+--R        45x  + 87x  + 56x + 12
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=-8/45*x+343/27/(2+3*x)-1421/27*log(2+3*x)+1331/25*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                                           2
+--R       (107811x + 71874)log(5x + 3) + (- 106575x - 71050)log(3x + 2) - 360x
+--R     + 
+--R       - 240x + 8575
+--R  /
+--R     2025x + 1350
+--R                                                    Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                                           2
+--R       (107811x + 71874)log(5x + 3) + (- 106575x - 71050)log(3x + 2) - 360x
+--R     + 
+--R       - 240x + 8575
+--R  /
+--R     2025x + 1350
+--R                                         Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=(1-2*x)^3/((2+3*x)^3*(3+5*x))
+--R 
+--R
+--R                  3      2
+--R              - 8x  + 12x  - 6x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        135x  + 351x  + 342x  + 148x + 24
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=343/54/(2+3*x)^2+1421/27/(2+3*x)-7189/27*log(2+3*x)+1331/5*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2
+--R       (646866x  + 862488x + 287496)log(5x + 3)
+--R     + 
+--R                 2
+--R       (- 647010x  - 862680x - 287560)log(3x + 2) + 42630x + 30135
+--R  /
+--R          2
+--R     2430x  + 3240x + 1080
+--R                                                    Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2
+--R       (646866x  + 862488x + 287496)log(5x + 3)
+--R     + 
+--R                 2
+--R       (- 647010x  - 862680x - 287560)log(3x + 2) + 42630x + 30135
+--R  /
+--R          2
+--R     2430x  + 3240x + 1080
+--R                                         Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=(1-2*x)^3/((2+3*x)^4*(3+5*x))
+--R 
+--R
+--R                        3      2
+--R                    - 8x  + 12x  - 6x + 1
+--R   (1)  --------------------------------------------
+--R            5        4        3        2
+--R        405x  + 1323x  + 1728x  + 1128x  + 368x + 48
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=343/81/(2+3*x)^3+1421/54/(2+3*x)^2+7189/27/(2+3*x)-1331*log(2+3*x)+_
+     1331*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                3            2
+--R       (5821794x  + 11643588x  + 7762392x + 1724976)log(5x + 3)
+--R     + 
+--R                  3            2                                           2
+--R       (- 5821794x  - 11643588x  - 7762392x - 1724976)log(3x + 2) + 388206x
+--R     + 
+--R       530397x + 181748
+--R  /
+--R          3        2
+--R     4374x  + 8748x  + 5832x + 1296
+--R                                                    Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                3            2
+--R       (5821794x  + 11643588x  + 7762392x + 1724976)log(5x + 3)
+--R     + 
+--R                  3            2                                           2
+--R       (- 5821794x  - 11643588x  - 7762392x - 1724976)log(3x + 2) + 388206x
+--R     + 
+--R       530397x + 181748
+--R  /
+--R          3        2
+--R     4374x  + 8748x  + 5832x + 1296
+--R                                         Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=(1-2*x)^3/((2+3*x)^5*(3+5*x))
+--R 
+--R
+--R                             3      2
+--R                         - 8x  + 12x  - 6x + 1
+--R   (1)  ------------------------------------------------------
+--R             6        5        4        3        2
+--R        1215x  + 4779x  + 7830x  + 6840x  + 3360x  + 880x + 96
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=343/108/(2+3*x)^4+1421/81/(2+3*x)^3+7189/54/(2+3*x)^2+1331/(2+3*x)-_
+     6655*log(2+3*x)+6655*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                    4             3             2
+--R         (174653820x  + 465743520x  + 465743520x  + 206997120x + 34499520)
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      4             3             2
+--R         (- 174653820x  - 465743520x  - 465743520x  - 206997120x - 34499520)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                3            2
+--R       11643588x  + 23675382x  + 16059444x + 3634885
+--R  /
+--R           4         3         2
+--R     26244x  + 69984x  + 69984x  + 31104x + 5184
+--R                                                    Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                    4             3             2
+--R         (174653820x  + 465743520x  + 465743520x  + 206997120x + 34499520)
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      4             3             2
+--R         (- 174653820x  - 465743520x  - 465743520x  - 206997120x - 34499520)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                3            2
+--R       11643588x  + 23675382x  + 16059444x + 3634885
+--R  /
+--R           4         3         2
+--R     26244x  + 69984x  + 69984x  + 31104x + 5184
+--R                                         Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=(1-2*x)^3/((2+3*x)^6*(3+5*x))
+--R 
+--R
+--R                                    3      2
+--R                                - 8x  + 12x  - 6x + 1
+--R   (1)  ---------------------------------------------------------------------
+--R             7         6         5         4         3        2
+--R        3645x  + 16767x  + 33048x  + 36180x  + 23760x  + 9360x  + 2048x + 192
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=343/135/(2+3*x)^5+1421/108/(2+3*x)^4+7189/81/(2+3*x)^3+1331/2/(2+3*x)^2+_
+     6655/(2+3*x)-33275*log(2+3*x)+33275*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                       5               4               3               2
+--R           13099036500x  + 43663455000x  + 58217940000x  + 38811960000x
+--R         + 
+--R           12937320000x + 1724976000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         5               4               3               2
+--R           - 13099036500x  - 43663455000x  - 58217940000x  - 38811960000x
+--R         + 
+--R           - 12937320000x - 1724976000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4              3              2
+--R       873269100x  + 2357826570x  + 2388229560x  + 1075586865x + 181744346
+--R  /
+--R            5           4           3           2
+--R     393660x  + 1312200x  + 1749600x  + 1166400x  + 388800x + 51840
+--R                                                    Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       5               4               3               2
+--R           13099036500x  + 43663455000x  + 58217940000x  + 38811960000x
+--R         + 
+--R           12937320000x + 1724976000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         5               4               3               2
+--R           - 13099036500x  - 43663455000x  - 58217940000x  - 38811960000x
+--R         + 
+--R           - 12937320000x - 1724976000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4              3              2
+--R       873269100x  + 2357826570x  + 2388229560x  + 1075586865x + 181744346
+--R  /
+--R            5           4           3           2
+--R     393660x  + 1312200x  + 1749600x  + 1166400x  + 388800x + 51840
+--R                                         Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=(1-2*x)^3/((2+3*x)^7*(3+5*x))
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R             8         7          6          5          4         3         2
+--R       10935x  + 57591x  + 132678x  + 174636x  + 143640x  + 75600x  + 24864x
+--R     + 
+--R       4672x + 384
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=343/162/(2+3*x)^6+1421/135/(2+3*x)^5+7189/108/(2+3*x)^4+_
+     1331/3/(2+3*x)^3+6655/2/(2+3*x)^2+33275/(2+3*x)-166375*log(2+3*x)+_
+     166375*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                        6                5                 4                 3
+--R           196485547500x  + 785942190000x  + 1309903650000x  + 1164358800000x
+--R         + 
+--R                        2
+--R           582179400000x  + 155247840000x + 17249760000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          6                5                 4                 3
+--R           - 196485547500x  - 785942190000x  - 1309903650000x  - 1164358800000x
+--R         + 
+--R                          2
+--R           - 582179400000x  - 155247840000x - 17249760000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5               4               3               2
+--R       13099036500x  + 44100089550x  + 59401704780x  + 40016101275x
+--R     + 
+--R       13482032616x + 1817443594
+--R  /
+--R               6           5           4           3           2
+--R       1180980x  + 4723920x  + 7873200x  + 6998400x  + 3499200x  + 933120x
+--R     + 
+--R       103680
+--R                                                    Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                        6                5                 4                 3
+--R           196485547500x  + 785942190000x  + 1309903650000x  + 1164358800000x
+--R         + 
+--R                        2
+--R           582179400000x  + 155247840000x + 17249760000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          6                5                 4                 3
+--R           - 196485547500x  - 785942190000x  - 1309903650000x  - 1164358800000x
+--R         + 
+--R                          2
+--R           - 582179400000x  - 155247840000x - 17249760000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5               4               3               2
+--R       13099036500x  + 44100089550x  + 59401704780x  + 40016101275x
+--R     + 
+--R       13482032616x + 1817443594
+--R  /
+--R               6           5           4           3           2
+--R       1180980x  + 4723920x  + 7873200x  + 6998400x  + 3499200x  + 933120x
+--R     + 
+--R       103680
+--R                                         Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=(1-2*x)^3/((2+3*x)^8*(3+5*x))
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R             9          8          7          6          5          4          3
+--R       32805x  + 194643x  + 513216x  + 789264x  + 780192x  + 514080x  + 225792x
+--R     + 
+--R             2
+--R       63744x  + 10496x + 768
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=49/27/(2+3*x)^7+1421/162/(2+3*x)^6+7189/135/(2+3*x)^5+1331/4/(2+3*x)^4+_
+     6655/3/(2+3*x)^3+33275/2/(2+3*x)^2+166375/(2+3*x)-_
+     831875*log(2+3*x)+831875*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         7                  6                  5
+--R           2947283212500x  + 13753988325000x  + 27507976650000x
+--R         + 
+--R                          4                  3                 2
+--R           30564418500000x  + 20376279000000x  + 8150511600000x
+--R         + 
+--R           1811224800000x + 172497600000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           7                  6                  5
+--R           - 2947283212500x  - 13753988325000x  - 27507976650000x
+--R         + 
+--R                            4                  3                 2
+--R           - 30564418500000x  - 20376279000000x  - 8150511600000x
+--R         + 
+--R           - 1811224800000x - 172497600000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6                5                 4                 3
+--R       196485547500x  + 792491708250x  + 1332026467200x  + 1194258563685x
+--R     + 
+--R                    2
+--R       602391504582x  + 162081979026x + 18174436072
+--R  /
+--R               7            6            5            4            3           2
+--R       3542940x  + 16533720x  + 33067440x  + 36741600x  + 24494400x  + 9797760x
+--R     + 
+--R       2177280x + 207360
+--R                                                    Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         7                  6                  5
+--R           2947283212500x  + 13753988325000x  + 27507976650000x
+--R         + 
+--R                          4                  3                 2
+--R           30564418500000x  + 20376279000000x  + 8150511600000x
+--R         + 
+--R           1811224800000x + 172497600000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           7                  6                  5
+--R           - 2947283212500x  - 13753988325000x  - 27507976650000x
+--R         + 
+--R                            4                  3                 2
+--R           - 30564418500000x  - 20376279000000x  - 8150511600000x
+--R         + 
+--R           - 1811224800000x - 172497600000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6                5                 4                 3
+--R       196485547500x  + 792491708250x  + 1332026467200x  + 1194258563685x
+--R     + 
+--R                    2
+--R       602391504582x  + 162081979026x + 18174436072
+--R  /
+--R               7            6            5            4            3           2
+--R       3542940x  + 16533720x  + 33067440x  + 36741600x  + 24494400x  + 9797760x
+--R     + 
+--R       2177280x + 207360
+--R                                         Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=(1-2*x)^3*(2+3*x)^6/(3+5*x)^2
+--R 
+--R
+--R   (1)
+--R              9         8        7        6        5       4        3       2
+--R       - 5832x  - 14580x  - 8262x  + 6993x  + 8316x  + 252x  - 2240x  - 528x
+--R     + 
+--R       192x + 64
+--R  /
+--R        2
+--R     25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=13880997/1953125*x-461623/390625*x^2-1836723/78125*x^3-5643/3125*x^4+_
+     774981/15625*x^5+12231/625*x^6-37908/875*x^7-729/25*x^8+_
+     (-1331/9765625)/(3+5*x)+23232/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                  9               8
+--R       (813120x + 487872)log(5x + 3) - 9966796875x  - 20787890625x
+--R     + 
+--R                    7               6              5              4
+--R       - 2195859375x  + 20966006250x  + 9554422500x  - 8405985000x
+--R     + 
+--R                    3              2
+--R       - 5225318000x  + 2186822400x  + 1457504685x - 9317
+--R  /
+--R     341796875x + 205078125
+--R                                                    Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                  9               8
+--R       (813120x + 487872)log(5x + 3) - 9966796875x  - 20787890625x
+--R     + 
+--R                    7               6              5              4
+--R       - 2195859375x  + 20966006250x  + 9554422500x  - 8405985000x
+--R     + 
+--R                    3              2
+--R       - 5225318000x  + 2186822400x  + 1457504685x - 9317
+--R  /
+--R     341796875x + 205078125
+--R                                         Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=(1-2*x)^3*(2+3*x)^5/(3+5*x)^2
+--R 
+--R
+--R               8        7       6        5        4       3       2
+--R        - 1944x  - 3564x  - 378x  + 2583x  + 1050x  - 616x  - 336x  + 48x + 32
+--R   (1)  ----------------------------------------------------------------------
+--R                                       2
+--R                                    25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=1382328/390625*x-507023/156250*x^2-26594/3125*x^3+108387/12500*x^4+_
+     44982/3125*x^5-1026/125*x^6-1944/175*x^7+(-1331/1953125)/(3+5*x)+_
+     19239/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                    8              7
+--R       (2693460x + 1616076)log(5x + 3) - 3037500000x  - 4066875000x
+--R     + 
+--R                  6              5             4              3             2
+--R       2589300000x  + 4732520625x  - 904395625x  - 2283475250x  + 435255450x
+--R     + 
+--R       580577760x - 37268
+--R  /
+--R     273437500x + 164062500
+--R                                                    Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                    8              7
+--R       (2693460x + 1616076)log(5x + 3) - 3037500000x  - 4066875000x
+--R     + 
+--R                  6              5             4              3             2
+--R       2589300000x  + 4732520625x  - 904395625x  - 2283475250x  + 435255450x
+--R     + 
+--R       580577760x - 37268
+--R  /
+--R     273437500x + 164062500
+--R                                         Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(1-2*x)^3*(2+3*x)^4/(3+5*x)^2
+--R 
+--R
+--R              7       6       5       4      3       2
+--R        - 648x  - 756x  + 378x  + 609x  - 56x  - 168x  + 16
+--R   (1)  ---------------------------------------------------
+--R                              2
+--R                           25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 351
+
+--S 352 of 500
+r0:=133659/78125*x-1816/625*x^2-4217/3125*x^3+7317/1250*x^4+108/625*x^5-_
+     108/25*x^6+(-1331/390625)/(3+5*x)+15246/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                               7           6            5
+--R       (152460x + 91476)log(5x + 3) - 16875000x  - 9450000x  + 23270625x
+--R     + 
+--R               4            3          2
+--R       8448125x  - 14512750x  - 127050x  + 4009770x - 2662
+--R  /
+--R     3906250x + 2343750
+--R                                                    Type: Expression(Integer)
+--E 352
+
+--S 353 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                               7           6            5
+--R       (152460x + 91476)log(5x + 3) - 16875000x  - 9450000x  + 23270625x
+--R     + 
+--R               4            3          2
+--R       8448125x  - 14512750x  - 127050x  + 4009770x - 2662
+--R  /
+--R     3906250x + 2343750
+--R                                         Type: Union(Expression(Integer),...)
+--E 353
+
+--S 354 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 354
+
+--S 355 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(1-2*x)^3*(2+3*x)^3/(3+5*x)^2
+--R 
+--R
+--R              6       5       4      3      2
+--R        - 216x  - 108x  + 198x  + 71x  - 66x  - 12x + 8
+--R   (1)  -----------------------------------------------
+--R                            2
+--R                         25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=1998/3125*x-12077/6250*x^2+786/625*x^3+189/125*x^4-216/125*x^5+_
+     (-1331/78125)/(3+5*x)+11253/78125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                              6          5           4
+--R       (112530x + 67518)log(5x + 3) - 1350000x  + 371250x  + 1691250x
+--R     + 
+--R                3          2
+--R       - 920125x  - 406275x  + 299700x - 2662
+--R  /
+--R     781250x + 468750
+--R                                                    Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                              6          5           4
+--R       (112530x + 67518)log(5x + 3) - 1350000x  + 371250x  + 1691250x
+--R     + 
+--R                3          2
+--R       - 920125x  - 406275x  + 299700x - 2662
+--R  /
+--R     781250x + 468750
+--R                                         Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(1-2*x)^3*(2+3*x)^2/(3+5*x)^2
+--R 
+--R
+--R             5      4      3      2
+--R        - 72x  + 12x  + 58x  - 15x  - 12x + 4
+--R   (1)  -------------------------------------
+--R                       2
+--R                    25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=-1179/3125*x-427/625*x^2+164/125*x^3-18/25*x^4+(-1331/15625)/(3+5*x)+_
+     1452/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                           5         4        3         2
+--R       (36300x + 21780)log(5x + 3) - 56250x  + 68750x  + 8125x  - 61500x
+--R     + 
+--R       - 17685x - 1331
+--R  /
+--R     78125x + 46875
+--R                                                    Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                           5         4        3         2
+--R       (36300x + 21780)log(5x + 3) - 56250x  + 68750x  + 8125x  - 61500x
+--R     + 
+--R       - 17685x - 1331
+--R  /
+--R     78125x + 46875
+--R                                         Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(1-2*x)^3*(2+3*x)/(3+5*x)^2
+--R 
+--R
+--R             4      3     2
+--R        - 24x  + 20x  + 6x  - 9x + 2
+--R   (1)  ----------------------------
+--R                  2
+--R               25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=-1098/625*x+122/125*x^2-8/25*x^3+(-1331/3125)/(3+5*x)+3267/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                     4         3         2
+--R   (16335x + 9801)log(5x + 3) - 5000x  + 12250x  - 18300x  - 16470x - 1331
+--R   -----------------------------------------------------------------------
+--R                                15625x + 9375
+--R                                                    Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                     4         3         2
+--R   (16335x + 9801)log(5x + 3) - 5000x  + 12250x  - 18300x  - 16470x - 1331
+--R   -----------------------------------------------------------------------
+--R                                15625x + 9375
+--R                                         Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(1-2*x)^3/(3+5*x)^2
+--R 
+--R
+--R            3      2
+--R        - 8x  + 12x  - 6x + 1
+--R   (1)  ---------------------
+--R               2
+--R            25x  + 30x + 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=108/125*x-4/25*x^2+(-1331/625)/(3+5*x)-726/625*log(3+5*x)
+--R 
+--R
+--R                                          3        2
+--R        (- 3630x - 2178)log(5x + 3) - 500x  + 2400x  + 1620x - 1331
+--R   (2)  -----------------------------------------------------------
+--R                                3125x + 1875
+--R                                                    Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                          3        2
+--R        (- 3630x - 2178)log(5x + 3) - 500x  + 2400x  + 1620x - 1331
+--R   (3)  -----------------------------------------------------------
+--R                                3125x + 1875
+--R                                         Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(1-2*x)^3/((2+3*x)*(3+5*x)^2)
+--R 
+--R
+--R             3      2
+--R         - 8x  + 12x  - 6x + 1
+--R   (1)  -----------------------
+--R           3       2
+--R        75x  + 140x  + 87x + 18
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=-8/75*x+(-1331/125)/(3+5*x)+343/9*log(2+3*x)-4719/125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                                             2
+--R       (- 212355x - 127413)log(5x + 3) + (214375x + 128625)log(3x + 2) - 600x
+--R     + 
+--R       - 360x - 11979
+--R  /
+--R     5625x + 3375
+--R                                                    Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                                             2
+--R       (- 212355x - 127413)log(5x + 3) + (214375x + 128625)log(3x + 2) - 600x
+--R     + 
+--R       - 360x - 11979
+--R  /
+--R     5625x + 3375
+--R                                         Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(1-2*x)^3/((2+3*x)^2*(3+5*x)^2)
+--R 
+--R
+--R                  3      2
+--R              - 8x  + 12x  - 6x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        225x  + 570x  + 541x  + 228x + 36
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=(-343/9)/(2+3*x)+(-1331/25)/(3+5*x)+3136/9*log(2+3*x)-8712/25*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                  2
+--R       (- 1176120x  - 1489752x - 470448)log(5x + 3)
+--R     + 
+--R                2
+--R       (1176000x  + 1489600x + 470400)log(3x + 2) - 78812x - 49683
+--R  /
+--R          2
+--R     3375x  + 4275x + 1350
+--R                                                    Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  2
+--R       (- 1176120x  - 1489752x - 470448)log(5x + 3)
+--R     + 
+--R                2
+--R       (1176000x  + 1489600x + 470400)log(3x + 2) - 78812x - 49683
+--R  /
+--R          2
+--R     3375x  + 4275x + 1350
+--R                                         Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(1-2*x)^3/((2+3*x)^3*(3+5*x)^2)
+--R 
+--R
+--R                        3      2
+--R                    - 8x  + 12x  - 6x + 1
+--R   (1)  --------------------------------------------
+--R            5        4        3        2
+--R        675x  + 2160x  + 2763x  + 1766x  + 564x + 72
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=(-343/18)/(2+3*x)^2+(-3136/9)/(2+3*x)+(-1331/5)/(3+5*x)+_
+     2541*log(2+3*x)-2541*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                   3            2
+--R       (- 10291050x  - 19896030x  - 12806640x - 2744280)log(5x + 3)
+--R     + 
+--R                 3            2                                            2
+--R       (10291050x  + 19896030x  + 12806640x + 2744280)log(3x + 2) - 686022x
+--R     + 
+--R       - 891911x - 289137
+--R  /
+--R          3        2
+--R     4050x  + 7830x  + 5040x + 1080
+--R                                                    Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                   3            2
+--R       (- 10291050x  - 19896030x  - 12806640x - 2744280)log(5x + 3)
+--R     + 
+--R                 3            2                                            2
+--R       (10291050x  + 19896030x  + 12806640x + 2744280)log(3x + 2) - 686022x
+--R     + 
+--R       - 891911x - 289137
+--R  /
+--R          3        2
+--R     4050x  + 7830x  + 5040x + 1080
+--R                                         Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(1-2*x)^3/((2+3*x)^4*(3+5*x)^2)
+--R 
+--R
+--R                               3      2
+--R                           - 8x  + 12x  - 6x + 1
+--R   (1)  ----------------------------------------------------------
+--R             6        5         4         3        2
+--R        2025x  + 7830x  + 12609x  + 10824x  + 5224x  + 1344x + 144
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-343/27)/(2+3*x)^3+(-1568/9)/(2+3*x)^2+(-2541)/(2+3*x)+_
+     (-1331)/(3+5*x)+16698*log(2+3*x)-16698*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                     4             3             2
+--R         (- 60864210x  - 158246946x  - 154189332x  - 66725208x - 10820304)
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                   4             3             2
+--R         (60864210x  + 158246946x  + 154189332x  + 66725208x + 10820304)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 3           2
+--R       - 4057614x  - 7979967x  - 5226815x - 1140033
+--R  /
+--R          4        3        2
+--R     3645x  + 9477x  + 9234x  + 3996x + 648
+--R                                                    Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                     4             3             2
+--R         (- 60864210x  - 158246946x  - 154189332x  - 66725208x - 10820304)
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                   4             3             2
+--R         (60864210x  + 158246946x  + 154189332x  + 66725208x + 10820304)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 3           2
+--R       - 4057614x  - 7979967x  - 5226815x - 1140033
+--R  /
+--R          4        3        2
+--R     3645x  + 9477x  + 9234x  + 3996x + 648
+--R                                         Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=(1-2*x)^3/((2+3*x)^5*(3+5*x)^2)
+--R 
+--R
+--R                                     3      2
+--R                                 - 8x  + 12x  - 6x + 1
+--R   (1)  ----------------------------------------------------------------------
+--R             7         6         5         4         3         2
+--R        6075x  + 27540x  + 53487x  + 57690x  + 37320x  + 14480x  + 3120x + 288
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-343/36)/(2+3*x)^4+(-3136/27)/(2+3*x)^3+(-2541/2)/(2+3*x)^2+_
+     (-16698)/(2+3*x)+(-6655)/(3+5*x)+103455*log(2+3*x)-103455*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                        5               4               3               2
+--R           - 4525121700x  - 14782064220x  - 19307185920x  - 12603301920x
+--R         + 
+--R           - 4111715520x - 536310720
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      5               4               3               2
+--R           4525121700x  + 14782064220x  + 19307185920x  + 12603301920x
+--R         + 
+--R           4111715520x + 536310720
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   4             3             2
+--R       - 301674780x  - 794410254x  - 784130946x  - 343827337x - 56505975
+--R  /
+--R           5          4          3          2
+--R     43740x  + 142884x  + 186624x  + 121824x  + 39744x + 5184
+--R                                                    Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                        5               4               3               2
+--R           - 4525121700x  - 14782064220x  - 19307185920x  - 12603301920x
+--R         + 
+--R           - 4111715520x - 536310720
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      5               4               3               2
+--R           4525121700x  + 14782064220x  + 19307185920x  + 12603301920x
+--R         + 
+--R           4111715520x + 536310720
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   4             3             2
+--R       - 301674780x  - 794410254x  - 784130946x  - 343827337x - 56505975
+--R  /
+--R           5          4          3          2
+--R     43740x  + 142884x  + 186624x  + 121824x  + 39744x + 5184
+--R                                         Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=(1-2*x)^3/((2+3*x)^6*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R             8         7          6          5          4          3         2
+--R       18225x  + 94770x  + 215541x  + 280044x  + 227340x  + 118080x  + 38320x
+--R     + 
+--R       7104x + 576
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-343/45)/(2+3*x)^5+(-784/9)/(2+3*x)^4+(-847)/(2+3*x)^3+_
+     (-8349)/(2+3*x)^2+(-103455)/(2+3*x)+(-33275)/(3+5*x)+_
+     617100*log(2+3*x)-617100*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         6                5                4                3
+--R           - 33739942500x  - 132710440500x  - 217435185000x  - 189943380000x
+--R         + 
+--R                         2
+--R           - 93305520000x  - 24437160000x - 2665872000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       6                5                4                3
+--R           33739942500x  + 132710440500x  + 217435185000x  + 189943380000x
+--R         + 
+--R                       2
+--R           93305520000x  + 24437160000x + 2665872000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    5              4              3              2
+--R       - 2249329500x  - 7422787350x  - 9795413430x  - 6461351715x  - 2130399775x
+--R     + 
+--R       - 280877649
+--R  /
+--R           6          5          4          3          2
+--R     54675x  + 215055x  + 352350x  + 307800x  + 151200x  + 39600x + 4320
+--R                                                    Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         6                5                4                3
+--R           - 33739942500x  - 132710440500x  - 217435185000x  - 189943380000x
+--R         + 
+--R                         2
+--R           - 93305520000x  - 24437160000x - 2665872000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       6                5                4                3
+--R           33739942500x  + 132710440500x  + 217435185000x  + 189943380000x
+--R         + 
+--R                       2
+--R           93305520000x  + 24437160000x + 2665872000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    5              4              3              2
+--R       - 2249329500x  - 7422787350x  - 9795413430x  - 6461351715x  - 2130399775x
+--R     + 
+--R       - 280877649
+--R  /
+--R           6          5          4          3          2
+--R     54675x  + 215055x  + 352350x  + 307800x  + 151200x  + 39600x + 4320
+--R                                         Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=(1-2*x)^3/((2+3*x)^7*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R             9          8          7           6           5          4
+--R       54675x  + 320760x  + 836163x  + 1271214x  + 1242108x  + 808920x
+--R     + 
+--R              3         2
+--R       351120x  + 97952x  + 15936x + 1152
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-343/54)/(2+3*x)^6+(-3136/45)/(2+3*x)^5+(-2541/4)/(2+3*x)^4+_
+     (-5566)/(2+3*x)^3+(-103455/2)/(2+3*x)^2+(-617100)/(2+3*x)+_
+     (-166375)/(3+5*x)+3584625*log(2+3*x)-3584625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                           7                  6                  5
+--R           - 7055617387500x  - 32455839982500x  - 63970930980000x
+--R         + 
+--R                            4                  3                  2
+--R           - 70033535550000x  - 45992172600000x  - 18118128600000x
+--R         + 
+--R           - 3964308480000x - 371653920000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         7                  6                  5
+--R           7055617387500x  + 32455839982500x  + 63970930980000x
+--R         + 
+--R                          4                  3                  2
+--R           70033535550000x  + 45992172600000x  + 18118128600000x
+--R         + 
+--R           3964308480000x + 371653920000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      6                 5                 4                 3
+--R       - 470374492500x  - 1865818820250x  - 3083217691950x  - 2716778541015x
+--R     + 
+--R                       2
+--R       - 1346292632205x  - 355739265638x - 39157648662
+--R  /
+--R               7           6            5            4            3           2
+--R       1968300x  + 9054180x  + 17845920x  + 19537200x  + 12830400x  + 5054400x
+--R     + 
+--R       1105920x + 103680
+--R                                                    Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                           7                  6                  5
+--R           - 7055617387500x  - 32455839982500x  - 63970930980000x
+--R         + 
+--R                            4                  3                  2
+--R           - 70033535550000x  - 45992172600000x  - 18118128600000x
+--R         + 
+--R           - 3964308480000x - 371653920000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         7                  6                  5
+--R           7055617387500x  + 32455839982500x  + 63970930980000x
+--R         + 
+--R                          4                  3                  2
+--R           70033535550000x  + 45992172600000x  + 18118128600000x
+--R         + 
+--R           3964308480000x + 371653920000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      6                 5                 4                 3
+--R       - 470374492500x  - 1865818820250x  - 3083217691950x  - 2716778541015x
+--R     + 
+--R                       2
+--R       - 1346292632205x  - 355739265638x - 39157648662
+--R  /
+--R               7           6            5            4            3           2
+--R       1968300x  + 9054180x  + 17845920x  + 19537200x  + 12830400x  + 5054400x
+--R     + 
+--R       1105920x + 103680
+--R                                         Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=(1-2*x)^3/((2+3*x)^8*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R              10           9           8           7           6           5
+--R       164025x   + 1071630x  + 3150009x  + 5485968x  + 6268752x  + 4910976x
+--R     + 
+--R               4          3          2
+--R       2671200x  + 996096x  + 243712x  + 35328x + 2304
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-49/9)/(2+3*x)^7+(-1568/27)/(2+3*x)^6+(-2541/5)/(2+3*x)^5+_
+     (-8349/2)/(2+3*x)^4+(-34485)/(2+3*x)^3+(-308550)/(2+3*x)^2+_
+     (-3584625)/(2+3*x)+(-831875)/(3+5*x)+20418750*log(2+3*x)-_
+     20418750*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                            8                   7                   6
+--R           - 60285338437500x  - 317502782437500x  - 731462106375000x
+--R         + 
+--R                             5                   4                   3
+--R           - 962779182750000x  - 791896297500000x  - 416787525000000x
+--R         + 
+--R                             2
+--R           - 137076786000000x  - 25757028000000x - 2117016000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          8                   7                   6
+--R           60285338437500x  + 317502782437500x  + 731462106375000x
+--R         + 
+--R                           5                   4                   3
+--R           962779182750000x  + 791896297500000x  + 416787525000000x
+--R         + 
+--R                           2
+--R           137076786000000x  + 25757028000000x + 2117016000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                       7                  6                  5
+--R       - 4019022562500x  - 18621471206250x  - 36972030521250x
+--R     + 
+--R                        4                  3                  2
+--R       - 40775613627375x  - 26978454053595x  - 10708299857748x  - 2360937751874x
+--R     + 
+--R       - 223049897418
+--R  /
+--R               8            7            6            5            4
+--R       2952450x  + 15549570x  + 35823060x  + 47151720x  + 38782800x
+--R     + 
+--R                3           2
+--R       20412000x  + 6713280x  + 1261440x + 103680
+--R                                                    Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                            8                   7                   6
+--R           - 60285338437500x  - 317502782437500x  - 731462106375000x
+--R         + 
+--R                             5                   4                   3
+--R           - 962779182750000x  - 791896297500000x  - 416787525000000x
+--R         + 
+--R                             2
+--R           - 137076786000000x  - 25757028000000x - 2117016000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          8                   7                   6
+--R           60285338437500x  + 317502782437500x  + 731462106375000x
+--R         + 
+--R                           5                   4                   3
+--R           962779182750000x  + 791896297500000x  + 416787525000000x
+--R         + 
+--R                           2
+--R           137076786000000x  + 25757028000000x + 2117016000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                       7                  6                  5
+--R       - 4019022562500x  - 18621471206250x  - 36972030521250x
+--R     + 
+--R                        4                  3                  2
+--R       - 40775613627375x  - 26978454053595x  - 10708299857748x  - 2360937751874x
+--R     + 
+--R       - 223049897418
+--R  /
+--R               8            7            6            5            4
+--R       2952450x  + 15549570x  + 35823060x  + 47151720x  + 38782800x
+--R     + 
+--R                3           2
+--R       20412000x  + 6713280x  + 1261440x + 103680
+--R                                         Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=(1-2*x)^3*(2+3*x)^7/(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R               10         9         8        7         6         5        4
+--R       - 17496x   - 55404x  - 53946x  + 4455x  + 38934x  + 17388x  - 6216x
+--R     + 
+--R              3       2
+--R       - 6064x  - 480x  + 576x + 128
+--R  /
+--R         3       2
+--R     125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=46214407/9765625*x-2300646/1953125*x^2-5918904/390625*x^3+_
+     6507/62500*x^4+491913/15625*x^5+33291/3125*x^6-119556/4375*x^7-_
+     2187/125*x^8+(-1331/97656250)/(3+5*x)^2+(-1089/1953125)/(3+5*x)+_
+     47289/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                  2                                                    10
+--R       (165511500x  + 198613800x + 59584140)log(5x + 3) - 598007812500x
+--R     + 
+--R                       9                8                 7                 6
+--R       - 1651640625000x  - 972000000000x  + 1176752812500x  + 1425913453125x
+--R     + 
+--R                      5                4               3                2
+--R       - 126252393750x  - 660465159375x  - 73008617500x  + 179606439600x
+--R     + 
+--R       58226341320x - 2305534
+--R  /
+--R                 2
+--R     34179687500x  + 41015625000x + 12304687500
+--R                                                    Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  2                                                    10
+--R       (165511500x  + 198613800x + 59584140)log(5x + 3) - 598007812500x
+--R     + 
+--R                       9                8                 7                 6
+--R       - 1651640625000x  - 972000000000x  + 1176752812500x  + 1425913453125x
+--R     + 
+--R                      5                4               3                2
+--R       - 126252393750x  - 660465159375x  - 73008617500x  + 179606439600x
+--R     + 
+--R       58226341320x - 2305534
+--R  /
+--R                 2
+--R     34179687500x  + 41015625000x + 12304687500
+--R                                         Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=(1-2*x)^3*(2+3*x)^6/(3+5*x)^3
+--R 
+--R
+--R   (1)
+--R              9         8        7        6        5       4        3       2
+--R       - 5832x  - 14580x  - 8262x  + 6993x  + 8316x  + 252x  - 2240x  - 528x
+--R     + 
+--R       192x + 64
+--R  /
+--R         3       2
+--R     125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=4571416/1953125*x-915777/390625*x^2-81747/15625*x^3+74223/12500*x^4+_
+     134622/15625*x^5-3402/625*x^6-5832/875*x^7+(-1331/19531250)/(3+5*x)^2+_
+     (-23232/9765625)/(3+5*x)+166749/9765625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                  2                                                   9
+--R       (116724300x  + 140069160x + 42020748)log(5x + 3) - 45562500000x
+--R     + 
+--R                     8              7               6               5
+--R       - 91884375000x  - 2156625000x  + 97871878125x  + 34147496250x
+--R     + 
+--R                     4               3               2
+--R       - 44330619375x  - 16106513500x  + 13430552100x  + 5756731680x - 1970122
+--R  /
+--R                2
+--R     6835937500x  + 8203125000x + 2460937500
+--R                                                    Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  2                                                   9
+--R       (116724300x  + 140069160x + 42020748)log(5x + 3) - 45562500000x
+--R     + 
+--R                     8              7               6               5
+--R       - 91884375000x  - 2156625000x  + 97871878125x  + 34147496250x
+--R     + 
+--R                     4               3               2
+--R       - 44330619375x  - 16106513500x  + 13430552100x  + 5756731680x - 1970122
+--R  /
+--R                2
+--R     6835937500x  + 8203125000x + 2460937500
+--R                                         Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=(1-2*x)^3*(2+3*x)^5/(3+5*x)^3
+--R 
+--R
+--R               8        7       6        5        4       3       2
+--R        - 1944x  - 3564x  - 378x  + 2583x  + 1050x  - 616x  - 336x  + 48x + 32
+--R   (1)  ----------------------------------------------------------------------
+--R                                   3       2
+--R                               125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=424432/390625*x-62097/31250*x^2-393/625*x^3+22977/6250*x^4-_
+     324/3125*x^5-324/125*x^6+(-1331/3906250)/(3+5*x)^2+_
+     (-19239/1953125)/(3+5*x)+109032/1953125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                2                                              8             7
+--R       (5451600x  + 6541920x + 1962576)log(5x + 3) - 253125000x  - 313875000x
+--R     + 
+--R                 6             5             4             3            2
+--R       255740625x  + 365767500x  - 138495000x  - 148862000x  + 57470475x
+--R     + 
+--R       38006490x - 116765
+--R  /
+--R              2
+--R     97656250x  + 117187500x + 35156250
+--R                                                    Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2                                              8             7
+--R       (5451600x  + 6541920x + 1962576)log(5x + 3) - 253125000x  - 313875000x
+--R     + 
+--R                 6             5             4             3            2
+--R       255740625x  + 365767500x  - 138495000x  - 148862000x  + 57470475x
+--R     + 
+--R       38006490x - 116765
+--R  /
+--R              2
+--R     97656250x  + 117187500x + 35156250
+--R                                         Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(1-2*x)^3*(2+3*x)^4/(3+5*x)^3
+--R 
+--R
+--R              7       6       5       4      3       2
+--R        - 648x  - 756x  + 378x  + 609x  - 56x  - 168x  + 16
+--R   (1)  ---------------------------------------------------
+--R                         3       2
+--R                     125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 431
+
+--S 432 of 500
+r0:=4691/15625*x-7617/6250*x^2+2826/3125*x^3+513/625*x^4-648/625*x^5+_
+     (-1331/781250)/(3+5*x)^2+(-15246/390625)/(3+5*x)+63294/390625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                2                                             7           6
+--R       (3164700x  + 3797640x + 1139292)log(5x + 3) - 20250000x  - 8268750x
+--R     + 
+--R                5           4            3           2
+--R       29610000x  + 3163125x  - 16341500x  - 1532625x  + 1958490x - 92807
+--R  /
+--R              2
+--R     19531250x  + 23437500x + 7031250
+--R                                                    Type: Expression(Integer)
+--E 432
+
+--S 433 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2                                             7           6
+--R       (3164700x  + 3797640x + 1139292)log(5x + 3) - 20250000x  - 8268750x
+--R     + 
+--R                5           4            3           2
+--R       29610000x  + 3163125x  - 16341500x  - 1532625x  + 1958490x - 92807
+--R  /
+--R              2
+--R     19531250x  + 23437500x + 7031250
+--R                                         Type: Union(Expression(Integer),...)
+--E 433
+
+--S 434 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 434
+
+--S 435 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(1-2*x)^3*(2+3*x)^3/(3+5*x)^3
+--R 
+--R
+--R              6       5       4      3      2
+--R        - 216x  - 108x  + 198x  + 71x  - 66x  - 12x + 8
+--R   (1)  -----------------------------------------------
+--R                       3       2
+--R                   125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=-1303/3125*x-927/3125*x^2+468/625*x^3-54/125*x^4+_
+     (-1331/156250)/(3+5*x)^2+(-11253/78125)/(3+5*x)+5907/15625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                2                                           6          5
+--R       (1476750x  + 1772100x + 531630)log(5x + 3) - 1687500x  + 900000x
+--R     + 
+--R               4           3           2
+--R       1743750x  - 1966250x  - 2371650x  - 698880x - 68849
+--R  /
+--R             2
+--R     3906250x  + 4687500x + 1406250
+--R                                                    Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2                                           6          5
+--R       (1476750x  + 1772100x + 531630)log(5x + 3) - 1687500x  + 900000x
+--R     + 
+--R               4           3           2
+--R       1743750x  - 1966250x  - 2371650x  - 698880x - 68849
+--R  /
+--R             2
+--R     3906250x  + 4687500x + 1406250
+--R                                         Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 439
+
+--S 440 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 440
+
+)clear all
+
+--S 441 of 500
+t0:=(1-2*x)^3*(2+3*x)^2/(3+5*x)^3
+--R 
+--R
+--R             5      4      3      2
+--R        - 72x  + 12x  + 58x  - 15x  - 12x + 4
+--R   (1)  -------------------------------------
+--R                  3       2
+--R              125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 441
+
+--S 442 of 500
+r0:=-2978/3125*x+354/625*x^2-24/125*x^3+(-1331/31250)/(3+5*x)^2+_
+     (-1452/3125)/(3+5*x)+1551/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2                                         5          4          3
+--R       (387750x  + 465300x + 139590)log(5x + 3) - 150000x  + 262500x  - 267500x
+--R     + 
+--R                2
+--R       - 734100x  - 340620x - 44891
+--R  /
+--R            2
+--R     781250x  + 937500x + 281250
+--R                                                    Type: Expression(Integer)
+--E 442
+
+--S 443 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2                                         5          4          3
+--R       (387750x  + 465300x + 139590)log(5x + 3) - 150000x  + 262500x  - 267500x
+--R     + 
+--R                2
+--R       - 734100x  - 340620x - 44891
+--R  /
+--R            2
+--R     781250x  + 937500x + 281250
+--R                                         Type: Union(Expression(Integer),...)
+--E 443
+
+--S 444 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 444
+
+--S 445 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 445
+
+)clear all
+
+--S 446 of 500
+t0:=(1-2*x)^3*(2+3*x)/(3+5*x)^3
+--R 
+--R
+--R             4      3     2
+--R        - 24x  + 20x  + 6x  - 9x + 2
+--R   (1)  ----------------------------
+--R              3       2
+--R          125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 446
+
+--S 447 of 500
+r0:=316/625*x-12/125*x^2+(-1331/6250)/(3+5*x)^2+(-3267/3125)/(3+5*x)-_
+     2046/3125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 2                                       4         3         2
+--R       (- 102300x  - 122760x - 36828)log(5x + 3) - 15000x  + 61000x  + 89400x
+--R     + 
+--R       - 4230x - 20933
+--R  /
+--R            2
+--R     156250x  + 187500x + 56250
+--R                                                    Type: Expression(Integer)
+--E 447
+
+--S 448 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 2                                       4         3         2
+--R       (- 102300x  - 122760x - 36828)log(5x + 3) - 15000x  + 61000x  + 89400x
+--R     + 
+--R       - 4230x - 20933
+--R  /
+--R            2
+--R     156250x  + 187500x + 56250
+--R                                         Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 449
+
+--S 450 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 450
+
+)clear all
+
+--S 451 of 500
+t0:=(1-2*x)^3/(3+5*x)^3
+--R 
+--R
+--R              3      2
+--R          - 8x  + 12x  - 6x + 1
+--R   (1)  -------------------------
+--R            3       2
+--R        125x  + 225x  + 135x + 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 451
+
+--S 452 of 500
+r0:=-8/125*x+(-1331/1250)/(3+5*x)^2+726/625/(3+5*x)+132/625*log(3+5*x)
+--R 
+--R
+--R              2                                   3        2
+--R        (6600x  + 7920x + 2376)log(5x + 3) - 2000x  - 2400x  + 6540x + 3025
+--R   (2)  -------------------------------------------------------------------
+--R                                    2
+--R                              31250x  + 37500x + 11250
+--R                                                    Type: Expression(Integer)
+--E 452
+
+--S 453 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R              2                                   3        2
+--R        (6600x  + 7920x + 2376)log(5x + 3) - 2000x  - 2400x  + 6540x + 3025
+--R   (3)  -------------------------------------------------------------------
+--R                                    2
+--R                              31250x  + 37500x + 11250
+--R                                         Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 454
+
+--S 455 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 455
+
+)clear all
+
+--S 456 of 500
+t0:=(1-2*x)^3/((2+3*x)*(3+5*x)^3)
+--R 
+--R
+--R                  3      2
+--R              - 8x  + 12x  - 6x + 1
+--R   (1)  ---------------------------------
+--R            4       3       2
+--R        375x  + 925x  + 855x  + 351x + 54
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 456
+
+--S 457 of 500
+r0:=(-1331/250)/(3+5*x)^2+4719/125/(3+5*x)-343/3*log(2+3*x)+_
+     14289/125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                2
+--R       (2143350x  + 2572020x + 771606)log(5x + 3)
+--R     + 
+--R                  2
+--R       (- 2143750x  - 2572500x - 771750)log(3x + 2) + 141570x + 80949
+--R  /
+--R           2
+--R     18750x  + 22500x + 6750
+--R                                                    Type: Expression(Integer)
+--E 457
+
+--S 458 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2
+--R       (2143350x  + 2572020x + 771606)log(5x + 3)
+--R     + 
+--R                  2
+--R       (- 2143750x  - 2572500x - 771750)log(3x + 2) + 141570x + 80949
+--R  /
+--R           2
+--R     18750x  + 22500x + 6750
+--R                                         Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 459
+
+--S 460 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 460
+
+)clear all
+
+--S 461 of 500
+t0:=(1-2*x)^3/((2+3*x)^2*(3+5*x)^3)
+--R 
+--R
+--R                         3      2
+--R                     - 8x  + 12x  - 6x + 1
+--R   (1)  ----------------------------------------------
+--R             5        4        3        2
+--R        1125x  + 3525x  + 4415x  + 2763x  + 864x + 108
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 461
+
+--S 462 of 500
+r0:=343/3/(2+3*x)+(-1331/50)/(3+5*x)^2+8712/25/(3+5*x)-1617*log(2+3*x)+_
+     1617*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 3            2
+--R       (18191250x  + 33957000x  + 21101850x + 4365900)log(5x + 3)
+--R     + 
+--R                   3            2                                             2
+--R       (- 18191250x  - 33957000x  - 21101850x - 4365900)log(3x + 2) + 1212830x
+--R     + 
+--R       1495689x + 459996
+--R  /
+--R           3         2
+--R     11250x  + 21000x  + 13050x + 2700
+--R                                                    Type: Expression(Integer)
+--E 462
+
+--S 463 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 3            2
+--R       (18191250x  + 33957000x  + 21101850x + 4365900)log(5x + 3)
+--R     + 
+--R                   3            2                                             2
+--R       (- 18191250x  - 33957000x  - 21101850x - 4365900)log(3x + 2) + 1212830x
+--R     + 
+--R       1495689x + 459996
+--R  /
+--R           3         2
+--R     11250x  + 21000x  + 13050x + 2700
+--R                                         Type: Union(Expression(Integer),...)
+--E 463
+
+--S 464 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 464
+
+--S 465 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 465
+
+)clear all
+
+--S 466 of 500
+t0:=(1-2*x)^3/((2+3*x)^3*(3+5*x)^3)
+--R 
+--R
+--R                               3      2
+--R                           - 8x  + 12x  - 6x + 1
+--R   (1)  -----------------------------------------------------------
+--R             6         5         4         3        2
+--R        3375x  + 12825x  + 20295x  + 17119x  + 8118x  + 2052x + 216
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 466
+
+--S 467 of 500
+r0:=343/6/(2+3*x)^2+1617/(2+3*x)+(-1331/10)/(3+5*x)^2+2541/(3+5*x)-_
+     15708*log(2+3*x)+15708*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                    4             3             2
+--R         (106029000x  + 268606800x  + 254940840x  + 107442720x + 16964640)
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      4             3             2
+--R         (- 106029000x  - 268606800x  - 254940840x  - 107442720x - 16964640)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               3            2
+--R       7068600x  + 13430348x  + 8492784x + 1787403
+--R  /
+--R          4         3         2
+--R     6750x  + 17100x  + 16230x  + 6840x + 1080
+--R                                                    Type: Expression(Integer)
+--E 467
+
+--S 468 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                    4             3             2
+--R         (106029000x  + 268606800x  + 254940840x  + 107442720x + 16964640)
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                      4             3             2
+--R         (- 106029000x  - 268606800x  - 254940840x  - 107442720x - 16964640)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               3            2
+--R       7068600x  + 13430348x  + 8492784x + 1787403
+--R  /
+--R          4         3         2
+--R     6750x  + 17100x  + 16230x  + 6840x + 1080
+--R                                         Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 469
+
+--S 470 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 470
+
+)clear all
+
+--S 471 of 500
+t0:=(1-2*x)^3/((2+3*x)^4*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R                                3      2
+--R                            - 8x  + 12x  - 6x + 1
+--R   -----------------------------------------------------------------------
+--R         7         6         5         4         3         2
+--R   10125x  + 45225x  + 86535x  + 91947x  + 58592x  + 22392x  + 4752x + 432
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 471
+
+--S 472 of 500
+r0:=343/9/(2+3*x)^3+1617/2/(2+3*x)^2+15708/(2+3*x)+(-1331/2)/(3+5*x)^2+_
+     16698/(3+5*x)-128634*log(2+3*x)+128634*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                      5              4              3              2
+--R           1562903100x  + 5001289920x  + 6397483356x  + 4089017592x
+--R         + 
+--R           1305892368x + 166709664
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                        5              4              3              2
+--R           - 1562903100x  - 5001289920x  - 6397483356x  - 4089017592x
+--R         + 
+--R           - 1305892368x - 166709664
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4             3             2
+--R       104193540x  + 267430086x  + 257165096x  + 109804551x + 17564616
+--R  /
+--R           5         4         3         2
+--R     12150x  + 38880x  + 49734x  + 31788x  + 10152x + 1296
+--R                                                    Type: Expression(Integer)
+--E 472
+
+--S 473 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      5              4              3              2
+--R           1562903100x  + 5001289920x  + 6397483356x  + 4089017592x
+--R         + 
+--R           1305892368x + 166709664
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                        5              4              3              2
+--R           - 1562903100x  - 5001289920x  - 6397483356x  - 4089017592x
+--R         + 
+--R           - 1305892368x - 166709664
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 4             3             2
+--R       104193540x  + 267430086x  + 257165096x  + 109804551x + 17564616
+--R  /
+--R           5         4         3         2
+--R     12150x  + 38880x  + 49734x  + 31788x  + 10152x + 1296
+--R                                         Type: Union(Expression(Integer),...)
+--E 473
+
+--S 474 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 474
+
+--S 475 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 475
+
+)clear all
+
+--S 476 of 500
+t0:=(1-2*x)^3/((2+3*x)^5*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R             8          7          6          5          4          3         2
+--R       30375x  + 155925x  + 350055x  + 448911x  + 359670x  + 184360x  + 59040x
+--R     + 
+--R       10800x + 864
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 476
+
+--S 477 of 500
+r0:=343/12/(2+3*x)^4+539/(2+3*x)^3+7854/(2+3*x)^2+128634/(2+3*x)+_
+     (-6655/2)/(3+5*x)^2+103455/(3+5*x)-953535*log(2+3*x)+953535*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                       6               5                4                3
+--R           23170900500x  + 89594148600x  + 144277473780x  + 123852754080x
+--R         + 
+--R                       2
+--R           59775202080x  + 15378612480x + 1647708480
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         6               5                4                3
+--R           - 23170900500x  - 89594148600x  - 144277473780x  - 123852754080x
+--R         + 
+--R                         2
+--R           - 59775202080x  - 15378612480x - 1647708480
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                  5              4              3              2
+--R       1544726700x  + 4994616330x  + 6455813364x  + 4169655991x  + 1345680462x
+--R     + 
+--R       173603415
+--R  /
+--R           6         5          4          3         2
+--R     24300x  + 93960x  + 151308x  + 129888x  + 62688x  + 16128x + 1728
+--R                                                    Type: Expression(Integer)
+--E 477
+
+--S 478 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       6               5                4                3
+--R           23170900500x  + 89594148600x  + 144277473780x  + 123852754080x
+--R         + 
+--R                       2
+--R           59775202080x  + 15378612480x + 1647708480
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         6               5                4                3
+--R           - 23170900500x  - 89594148600x  - 144277473780x  - 123852754080x
+--R         + 
+--R                         2
+--R           - 59775202080x  - 15378612480x - 1647708480
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                  5              4              3              2
+--R       1544726700x  + 4994616330x  + 6455813364x  + 4169655991x  + 1345680462x
+--R     + 
+--R       173603415
+--R  /
+--R           6         5          4          3         2
+--R     24300x  + 93960x  + 151308x  + 129888x  + 62688x  + 16128x + 1728
+--R                                         Type: Union(Expression(Integer),...)
+--E 478
+
+--S 479 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 479
+
+--S 480 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 480
+
+)clear all
+
+--S 481 of 500
+t0:=(1-2*x)^3/((2+3*x)^6*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R             9          8           7           6           5           4
+--R       91125x  + 528525x  + 1362015x  + 2046843x  + 1976832x  + 1272420x
+--R     + 
+--R              3          2
+--R       545840x  + 150480x  + 24192x + 1728
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 481
+
+--S 482 of 500
+r0:=343/15/(2+3*x)^5+1617/4/(2+3*x)^4+5236/(2+3*x)^3+64317/(2+3*x)^2+_
+     953535/(2+3*x)+(-33275/2)/(3+5*x)^2+617100/(3+5*x)-_
+     6618975*log(2+3*x)+6618975*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         7                  6                  5
+--R           2412616387500x  + 10937194290000x  + 21241746949500x
+--R         + 
+--R                          4                  3                 2
+--R           22910920065000x  + 14821208820000x  + 5750565480000x
+--R         + 
+--R           1239072120000x + 114375888000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           7                  6                  5
+--R           - 2412616387500x  - 10937194290000x  - 21241746949500x
+--R         + 
+--R                            4                  3                 2
+--R           - 22910920065000x  - 14821208820000x  - 5750565480000x
+--R         + 
+--R           - 1239072120000x - 114375888000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6                5                 4                3
+--R       160841092500x  + 627280260750x  + 1018898535600x  + 882286862985x
+--R     + 
+--R                    2
+--R       429553050280x  + 111486629505x + 12050702538
+--R  /
+--R              7           6           5           4           3          2
+--R       364500x  + 1652400x  + 3209220x  + 3461400x  + 2239200x  + 868800x
+--R     + 
+--R       187200x + 17280
+--R                                                    Type: Expression(Integer)
+--E 482
+
+--S 483 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         7                  6                  5
+--R           2412616387500x  + 10937194290000x  + 21241746949500x
+--R         + 
+--R                          4                  3                 2
+--R           22910920065000x  + 14821208820000x  + 5750565480000x
+--R         + 
+--R           1239072120000x + 114375888000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           7                  6                  5
+--R           - 2412616387500x  - 10937194290000x  - 21241746949500x
+--R         + 
+--R                            4                  3                 2
+--R           - 22910920065000x  - 14821208820000x  - 5750565480000x
+--R         + 
+--R           - 1239072120000x - 114375888000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6                5                 4                3
+--R       160841092500x  + 627280260750x  + 1018898535600x  + 882286862985x
+--R     + 
+--R                    2
+--R       429553050280x  + 111486629505x + 12050702538
+--R  /
+--R              7           6           5           4           3          2
+--R       364500x  + 1652400x  + 3209220x  + 3461400x  + 2239200x  + 868800x
+--R     + 
+--R       187200x + 17280
+--R                                         Type: Union(Expression(Integer),...)
+--E 483
+
+--S 484 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 484
+
+--S 485 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 485
+
+)clear all
+
+--S 486 of 500
+t0:=(1-2*x)^3/((2+3*x)^7*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R              10           9           8           7            6           5
+--R       273375x   + 1767825x  + 5143095x  + 8864559x  + 10024182x  + 7770924x
+--R     + 
+--R               4           3          2
+--R       4182360x  + 1543120x  + 373536x  + 53568x + 3456
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 486
+
+--S 487 of 500
+r0:=343/18/(2+3*x)^6+1617/5/(2+3*x)^5+3927/(2+3*x)^4+42878/(2+3*x)^3+_
+     953535/2/(2+3*x)^2+6618975/(2+3*x)+(-166375/2)/(3+5*x)^2+_
+     3584625/(3+5*x)-43848750*log(2+3*x)+43848750*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                          8                   7                   6
+--R           71922912187500x  + 373999143375000x  + 850608308137500x
+--R         + 
+--R                            5                   4                   3
+--R           1105162141050000x  + 897171734250000x  + 465989436000000x
+--R         + 
+--R                           2
+--R           151225569000000x  + 28035136800000x + 2273119200000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                            8                   7                   6
+--R           - 71922912187500x  - 373999143375000x  - 850608308137500x
+--R         + 
+--R                              5                   4                   3
+--R           - 1105162141050000x  - 897171734250000x  - 465989436000000x
+--R         + 
+--R                             2
+--R           - 151225569000000x  - 28035136800000x - 2273119200000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     7                  6                  5                  4
+--R       4794860812500x  + 21896531043750x  + 42841193422500x  + 46551705341625x
+--R     + 
+--R                      3                  2
+--R       30340145968110x  + 11860532030465x  + 2574943269792x + 239497011063
+--R  /
+--R               8           7            6            5            4            3
+--R       1640250x  + 8529300x  + 19398690x  + 25203960x  + 20460600x  + 10627200x
+--R     + 
+--R               2
+--R       3448800x  + 639360x + 51840
+--R                                                    Type: Expression(Integer)
+--E 487
+
+--S 488 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                          8                   7                   6
+--R           71922912187500x  + 373999143375000x  + 850608308137500x
+--R         + 
+--R                            5                   4                   3
+--R           1105162141050000x  + 897171734250000x  + 465989436000000x
+--R         + 
+--R                           2
+--R           151225569000000x  + 28035136800000x + 2273119200000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                            8                   7                   6
+--R           - 71922912187500x  - 373999143375000x  - 850608308137500x
+--R         + 
+--R                              5                   4                   3
+--R           - 1105162141050000x  - 897171734250000x  - 465989436000000x
+--R         + 
+--R                             2
+--R           - 151225569000000x  - 28035136800000x - 2273119200000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     7                  6                  5                  4
+--R       4794860812500x  + 21896531043750x  + 42841193422500x  + 46551705341625x
+--R     + 
+--R                      3                  2
+--R       30340145968110x  + 11860532030465x  + 2574943269792x + 239497011063
+--R  /
+--R               8           7            6            5            4            3
+--R       1640250x  + 8529300x  + 19398690x  + 25203960x  + 20460600x  + 10627200x
+--R     + 
+--R               2
+--R       3448800x  + 639360x + 51840
+--R                                         Type: Union(Expression(Integer),...)
+--E 488
+
+--S 489 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 489
+
+--S 490 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 490
+
+)clear all
+
+--S 491 of 500
+t0:=(1-2*x)^3/((2+3*x)^8*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R         3      2
+--R     - 8x  + 12x  - 6x + 1
+--R  /
+--R              11           10            9            8            7
+--R       820125x   + 5850225x   + 18964935x  + 36879867x  + 47801664x
+--R     + 
+--R                6            5            4           3          2
+--R       43361136x  + 28088928x  + 12994080x  + 4206848x  + 907776x  + 117504x
+--R     + 
+--R       6912
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 491
+
+--S 492 of 500
+r0:=49/3/(2+3*x)^7+539/2/(2+3*x)^6+15708/5/(2+3*x)^5+64317/2/(2+3*x)^4+_
+     317845/(2+3*x)^3+6618975/2/(2+3*x)^2+43848750/(2+3*x)+_
+     (-831875/2)/(3+5*x)^2+20418750/(3+5*x)-280500000*log(2+3*x)+_
+     280500000*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                           9                    8                    7
+--R           460090125000000x  + 2699195400000000x  + 7036311645000000x
+--R         + 
+--R                             6                     5                    4
+--R           10697265810000000x  + 10452338820000000x  + 6807061800000000x
+--R         + 
+--R                            3                   2
+--R           2954674800000000x  + 824266080000000x  + 134101440000000x
+--R         + 
+--R           9694080000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                             9                    8                    7
+--R           - 460090125000000x  - 2699195400000000x  - 7036311645000000x
+--R         + 
+--R                               6                     5                    4
+--R           - 10697265810000000x  - 10452338820000000x  - 6807061800000000x
+--R         + 
+--R                              3                   2
+--R           - 2954674800000000x  - 824266080000000x  - 134101440000000x
+--R         + 
+--R           - 9694080000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      8                   7                   6
+--R       30672675000000x  + 160520332500000x  + 367435926000000x
+--R     + 
+--R                       5                   4                   3
+--R       480493891350000x  + 392612784696000x  + 205262100529200x
+--R     + 
+--R                      2
+--R       67053019228048x  + 12513316868859x + 1021373267628
+--R  /
+--R               9           8            7            6            5            4
+--R       1640250x  + 9622800x  + 25084890x  + 38136420x  + 37263240x  + 24267600x
+--R     + 
+--R                3           2
+--R       10533600x  + 2938560x  + 478080x + 34560
+--R                                                    Type: Expression(Integer)
+--E 492
+
+--S 493 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                           9                    8                    7
+--R           460090125000000x  + 2699195400000000x  + 7036311645000000x
+--R         + 
+--R                             6                     5                    4
+--R           10697265810000000x  + 10452338820000000x  + 6807061800000000x
+--R         + 
+--R                            3                   2
+--R           2954674800000000x  + 824266080000000x  + 134101440000000x
+--R         + 
+--R           9694080000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                             9                    8                    7
+--R           - 460090125000000x  - 2699195400000000x  - 7036311645000000x
+--R         + 
+--R                               6                     5                    4
+--R           - 10697265810000000x  - 10452338820000000x  - 6807061800000000x
+--R         + 
+--R                              3                   2
+--R           - 2954674800000000x  - 824266080000000x  - 134101440000000x
+--R         + 
+--R           - 9694080000000
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      8                   7                   6
+--R       30672675000000x  + 160520332500000x  + 367435926000000x
+--R     + 
+--R                       5                   4                   3
+--R       480493891350000x  + 392612784696000x  + 205262100529200x
+--R     + 
+--R                      2
+--R       67053019228048x  + 12513316868859x + 1021373267628
+--R  /
+--R               9           8            7            6            5            4
+--R       1640250x  + 9622800x  + 25084890x  + 38136420x  + 37263240x  + 24267600x
+--R     + 
+--R                3           2
+--R       10533600x  + 2938560x  + 478080x + 34560
+--R                                         Type: Union(Expression(Integer),...)
+--E 493
+
+--S 494 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 494
+
+--S 495 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 495
+
+)clear all
+
+--S 496 of 500
+t0:=(2+3*x)^m*(3+5*x)/(1-2*x)
+--R 
+--R
+--R                          m
+--R        (- 5x - 3)(3x + 2)
+--R   (1)  -------------------
+--R               2x - 1
+--R                                                    Type: Expression(Integer)
+--E 496
+
+--S 497 of 500
+--r0:=-5/6*(2+3*x)^(1+m)/(1+m)+11/14*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)
+--E 497
+
+--S 498 of 500
+--a0:=integrate(t0,x)
+--E 498
+
+--S 499 of 500
+--m0:=a0-r0
+--E 499
+
+--S 500 of 500
+--d0:=D(m0,x)
+--E 500
+
+)spool
+)lisp (bye)
+
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/rich3f.input.pdf b/src/axiom-website/CATS/rich3f.input.pdf
new file mode 100644
index 0000000..a20d0ea
Binary files /dev/null and b/src/axiom-website/CATS/rich3f.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3g.input.pamphlet b/src/axiom-website/CATS/rich3g.input.pamphlet
new file mode 100644
index 0000000..fe9418d
--- /dev/null
+++ b/src/axiom-website/CATS/rich3g.input.pamphlet
@@ -0,0 +1,6855 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3g.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 100 integrals in this file.
+\item 100 supplied "optimal results".
+\item 95 matching answers.
+\item 0 cases where Axiom supplied 2 results.
+\item 0 cases that Axiom failed to integrate.
+\item 5 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3g.output
+)spool rich3g.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(2+3*x)^8*(3+5*x)/(1-2*x)
+--R 
+--R
+--R   (1)
+--R               9          8          7          6          5          4
+--R       - 32805x  - 194643x  - 513216x  - 789264x  - 780192x  - 514080x
+--R     + 
+--R                3         2
+--R       - 225792x  - 63744x  - 10496x - 768
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1
+
+--S 2 of 500
+r0:=-63019595/512*x-60332619/512*x^2-17391129/128*x^3-37722699/256*x^4-_
+     21272139/160*x^5-2929689/32*x^6-353565/8*x^7-422091/32*x^8-_
+     3645/2*x^9-63412811/1024*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                          9            8             7
+--R       - 317064055log(- 2x + 1) - 9331200x  - 67534560x  - 226281600x
+--R     + 
+--R                   6             5             4             3             2
+--R       - 468750240x  - 680708448x  - 754453980x  - 695645160x  - 603326190x
+--R     + 
+--R       - 630195950x
+--R  /
+--R     5120
+--R                                                    Type: Expression(Integer)
+--E 2
+
+--S 3 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                        9            8             7
+--R       - 317064055log(2x - 1) - 9331200x  - 67534560x  - 226281600x
+--R     + 
+--R                   6             5             4             3             2
+--R       - 468750240x  - 680708448x  - 754453980x  - 695645160x  - 603326190x
+--R     + 
+--R       - 630195950x
+--R  /
+--R     5120
+--R                                         Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 63412811log(2x - 1) + 63412811log(- 2x + 1)
+--R   (4)  ---------------------------------------------
+--R                             1024
+--R                                                    Type: Expression(Integer)
+--E 4
+
+--S 5 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(2+3*x)^7*(3+5*x)/(1-2*x)
+--R 
+--R
+--R   (1)
+--R               8         7          6          5          4         3         2
+--R       - 10935x  - 57591x  - 132678x  - 174636x  - 143640x  - 75600x  - 24864x
+--R     + 
+--R       - 4672x - 384
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 6
+
+--S 7 of 500
+r0:=-8960669/256*x-8362653/256*x^2-2257119/64*x^3-4352157/128*x^4-_
+     2053917/80*x^5-218943/16*x^6-126117/28*x^7-10935/16*x^8-_
+     9058973/512*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                           8            7             6
+--R       - 317064055log(- 2x + 1) - 12247200x  - 80714880x  - 245216160x
+--R     + 
+--R                   5             4             3             2
+--R       - 460077408x  - 609301980x  - 631993320x  - 585385710x  - 627246830x
+--R  /
+--R     17920
+--R                                                    Type: Expression(Integer)
+--E 7
+
+--S 8 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                         8            7             6
+--R       - 317064055log(2x - 1) - 12247200x  - 80714880x  - 245216160x
+--R     + 
+--R                   5             4             3             2
+--R       - 460077408x  - 609301980x  - 631993320x  - 585385710x  - 627246830x
+--R  /
+--R     17920
+--R                                         Type: Union(Expression(Integer),...)
+--E 8
+
+--S 9 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 9058973log(2x - 1) + 9058973log(- 2x + 1)
+--R   (4)  -------------------------------------------
+--R                            512
+--R                                                    Type: Expression(Integer)
+--E 9
+
+--S 10 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(2+3*x)^6*(3+5*x)/(1-2*x)
+--R 
+--R
+--R   (1)
+--R          7         6         5         4         3        2
+--R   - 3645x  - 16767x  - 33048x  - 36180x  - 23760x  - 9360x  - 2048x - 192
+--R   -----------------------------------------------------------------------
+--R                                    2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 11
+
+--S 12 of 500
+r0:=-1269563/128*x-1138491/128*x^2-279657/32*x^3-458811/64*x^4-_
+     169371/40*x^5-12393/8*x^6-3645/14*x^7-1294139/256*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                         7            6            5
+--R       - 45294865log(- 2x + 1) - 2332800x  - 13880160x  - 37939104x
+--R     + 
+--R                  4            3            2
+--R       - 64233540x  - 78303960x  - 79694370x  - 88869410x
+--R  /
+--R     8960
+--R                                                    Type: Expression(Integer)
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                       7            6            5            4
+--R       - 45294865log(2x - 1) - 2332800x  - 13880160x  - 37939104x  - 64233540x
+--R     + 
+--R                  3            2
+--R       - 78303960x  - 79694370x  - 88869410x
+--R  /
+--R     8960
+--R                                         Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1294139log(2x - 1) + 1294139log(- 2x + 1)
+--R   (4)  -------------------------------------------
+--R                            256
+--R                                                    Type: Expression(Integer)
+--E 14
+
+--S 15 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(2+3*x)^5*(3+5*x)/(1-2*x)
+--R 
+--R
+--R               6        5        4        3        2
+--R        - 1215x  - 4779x  - 7830x  - 6840x  - 3360x  - 880x - 96
+--R   (1)  --------------------------------------------------------
+--R                                 2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 16
+
+--S 17 of 500
+r0:=-178733/64*x-150573/64*x^2-32271/16*x^3-42093/32*x^4-10773/20*x^5-_
+     405/4*x^6-184877/128*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                     6          5          4           3
+--R       - 924385log(- 2x + 1) - 64800x  - 344736x  - 841860x  - 1290840x
+--R     + 
+--R                 2
+--R       - 1505730x  - 1787330x
+--R  /
+--R     640
+--R                                                    Type: Expression(Integer)
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                   6          5          4           3
+--R       - 924385log(2x - 1) - 64800x  - 344736x  - 841860x  - 1290840x
+--R     + 
+--R                 2
+--R       - 1505730x  - 1787330x
+--R  /
+--R     640
+--R                                         Type: Union(Expression(Integer),...)
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 184877log(2x - 1) + 184877log(- 2x + 1)
+--R   (4)  -----------------------------------------
+--R                           128
+--R                                                    Type: Expression(Integer)
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(2+3*x)^4*(3+5*x)/(1-2*x)
+--R 
+--R
+--R              5        4        3        2
+--R        - 405x  - 1323x  - 1728x  - 1128x  - 368x - 48
+--R   (1)  ----------------------------------------------
+--R                            2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 21
+
+--S 22 of 500
+r0:=-24875/32*x-18987/32*x^2-3321/8*x^3-3051/16*x^4-81/2*x^5-_
+     26411/64*log(1-2*x)
+--R 
+--R
+--R                                    5         4         3         2
+--R        - 26411log(- 2x + 1) - 2592x  - 12204x  - 26568x  - 37974x  - 49750x
+--R   (2)  --------------------------------------------------------------------
+--R                                         64
+--R                                                    Type: Expression(Integer)
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                  5         4         3         2
+--R        - 26411log(2x - 1) - 2592x  - 12204x  - 26568x  - 37974x  - 49750x
+--R   (3)  ------------------------------------------------------------------
+--R                                        64
+--R                                         Type: Union(Expression(Integer),...)
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 26411log(2x - 1) + 26411log(- 2x + 1)
+--R   (4)  ---------------------------------------
+--R                           64
+--R                                                    Type: Expression(Integer)
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(2+3*x)^3*(3+5*x)/(1-2*x)
+--R 
+--R
+--R              4       3       2
+--R        - 135x  - 351x  - 342x  - 148x - 24
+--R   (1)  -----------------------------------
+--R                       2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 26
+
+--S 27 of 500
+r0:=-3389/16*x-2205/16*x^2-279/4*x^3-135/8*x^4-3773/32*log(1-2*x)
+--R 
+--R
+--R                                  4        3        2
+--R        - 3773log(- 2x + 1) - 540x  - 2232x  - 4410x  - 6778x
+--R   (2)  -----------------------------------------------------
+--R                                  32
+--R                                                    Type: Expression(Integer)
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                4        3        2
+--R        - 3773log(2x - 1) - 540x  - 2232x  - 4410x  - 6778x
+--R   (3)  ---------------------------------------------------
+--R                                 32
+--R                                         Type: Union(Expression(Integer),...)
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 3773log(2x - 1) + 3773log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                          32
+--R                                                    Type: Expression(Integer)
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(2+3*x)^2*(3+5*x)/(1-2*x)
+--R 
+--R
+--R             3      2
+--R        - 45x  - 87x  - 56x - 12
+--R   (1)  ------------------------
+--R                 2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 31
+
+--S 32 of 500
+r0:=-443/8*x-219/8*x^2-15/2*x^3-539/16*log(1-2*x)
+--R 
+--R
+--R                                 3       2
+--R        - 539log(- 2x + 1) - 120x  - 438x  - 886x
+--R   (2)  -----------------------------------------
+--R                            16
+--R                                                    Type: Expression(Integer)
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               3       2
+--R        - 539log(2x - 1) - 120x  - 438x  - 886x
+--R   (3)  ---------------------------------------
+--R                           16
+--R                                         Type: Union(Expression(Integer),...)
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 539log(2x - 1) + 539log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                         16
+--R                                                    Type: Expression(Integer)
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(2+3*x)*(3+5*x)/(1-2*x)
+--R 
+--R
+--R             2
+--R        - 15x  - 19x - 6
+--R   (1)  ----------------
+--R             2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 36
+
+--S 37 of 500
+r0:=-53/4*x-15/4*x^2-77/8*log(1-2*x)
+--R 
+--R
+--R                               2
+--R        - 77log(- 2x + 1) - 30x  - 106x
+--R   (2)  -------------------------------
+--R                       8
+--R                                                    Type: Expression(Integer)
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                             2
+--R        - 77log(2x - 1) - 30x  - 106x
+--R   (3)  -----------------------------
+--R                      8
+--R                                         Type: Union(Expression(Integer),...)
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 77log(2x - 1) + 77log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                        8
+--R                                                    Type: Expression(Integer)
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(3+5*x)/(1-2*x)
+--R 
+--R
+--R        - 5x - 3
+--R   (1)  --------
+--R         2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 41
+
+--S 42 of 500
+r0:=-5/2*x-11/4*log(1-2*x)
+--R 
+--R
+--R        - 11log(- 2x + 1) - 10x
+--R   (2)  -----------------------
+--R                   4
+--R                                                    Type: Expression(Integer)
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        - 11log(2x - 1) - 10x
+--R   (3)  ---------------------
+--R                  4
+--R                                         Type: Union(Expression(Integer),...)
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 11log(2x - 1) + 11log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                        4
+--R                                                    Type: Expression(Integer)
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x))
+--R 
+--R
+--R          - 5x - 3
+--R   (1)  -----------
+--R          2
+--R        6x  + x - 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 46
+
+--S 47 of 500
+r0:=-11/14*log(1-2*x)-1/21*log(2+3*x)
+--R 
+--R
+--R        - 2log(3x + 2) - 33log(- 2x + 1)
+--R   (2)  --------------------------------
+--R                       42
+--R                                                    Type: Expression(Integer)
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        - 2log(3x + 2) - 33log(2x - 1)
+--R   (3)  ------------------------------
+--R                      42
+--R                                         Type: Union(Expression(Integer),...)
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 11log(2x - 1) + 11log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                        14
+--R                                                    Type: Expression(Integer)
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^2)
+--R 
+--R
+--R              - 5x - 3
+--R   (1)  --------------------
+--R           3      2
+--R        18x  + 15x  - 4x - 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 51
+
+--S 52 of 500
+r0:=1/21/(2+3*x)-11/49*log(1-2*x)+11/49*log(2+3*x)
+--R 
+--R
+--R        (99x + 66)log(3x + 2) + (- 99x - 66)log(- 2x + 1) + 7
+--R   (2)  -----------------------------------------------------
+--R                              441x + 294
+--R                                                    Type: Expression(Integer)
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (99x + 66)log(3x + 2) + (- 99x - 66)log(2x - 1) + 7
+--R   (3)  ---------------------------------------------------
+--R                             441x + 294
+--R                                         Type: Union(Expression(Integer),...)
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 11log(2x - 1) + 11log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                        49
+--R                                                    Type: Expression(Integer)
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^3)
+--R 
+--R
+--R                  - 5x - 3
+--R   (1)  ----------------------------
+--R           4      3      2
+--R        54x  + 81x  + 18x  - 20x - 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 56
+
+--S 57 of 500
+r0:=1/42/(2+3*x)^2+(-11/49)/(2+3*x)-22/343*log(1-2*x)+22/343*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R             2                                     2
+--R       (1188x  + 1584x + 528)log(3x + 2) + (- 1188x  - 1584x - 528)log(- 2x + 1)
+--R     + 
+--R       - 1386x - 875
+--R  /
+--R           2
+--R     18522x  + 24696x + 8232
+--R                                                    Type: Expression(Integer)
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R             2                                     2
+--R       (1188x  + 1584x + 528)log(3x + 2) + (- 1188x  - 1584x - 528)log(2x - 1)
+--R     + 
+--R       - 1386x - 875
+--R  /
+--R           2
+--R     18522x  + 24696x + 8232
+--R                                         Type: Union(Expression(Integer),...)
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 22log(2x - 1) + 22log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                       343
+--R                                                    Type: Expression(Integer)
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^4)
+--R 
+--R
+--R                        - 5x - 3
+--R   (1)  ---------------------------------------
+--R            5       4       3      2
+--R        162x  + 351x  + 216x  - 24x  - 64x - 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=1/63/(2+3*x)^3+(-11/98)/(2+3*x)^2+(-22/343)/(2+3*x)-_
+     44/2401*log(1-2*x)+44/2401*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R              3         2
+--R       (21384x  + 42768x  + 28512x + 6336)log(3x + 2)
+--R     + 
+--R                3         2                                       2
+--R       (- 21384x  - 42768x  - 28512x - 6336)log(- 2x + 1) - 24948x  - 47817x
+--R     + 
+--R       - 20104
+--R  /
+--R             3           2
+--R     1166886x  + 2333772x  + 1555848x + 345744
+--R                                                    Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              3         2
+--R       (21384x  + 42768x  + 28512x + 6336)log(3x + 2)
+--R     + 
+--R              3         2                                     2
+--R     (- 21384x  - 42768x  - 28512x - 6336)log(2x - 1) - 24948x  - 47817x - 20104
+--R  /
+--R             3           2
+--R     1166886x  + 2333772x  + 1555848x + 345744
+--R                                         Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 44log(2x - 1) + 44log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                       2401
+--R                                                    Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^5)
+--R 
+--R
+--R                              - 5x - 3
+--R   (1)  ---------------------------------------------------
+--R            6        5        4       3       2
+--R        486x  + 1377x  + 1350x  + 360x  - 240x  - 176x - 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=1/84/(2+3*x)^4+(-11/147)/(2+3*x)^3+(-11/343)/(2+3*x)^2+_
+     (-44/2401)/(2+3*x)-88/16807*log(1-2*x)+88/16807*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R              4         3         2
+--R       (28512x  + 76032x  + 76032x  + 33792x + 5632)log(3x + 2)
+--R     + 
+--R                4         3         2                                       3
+--R       (- 28512x  - 76032x  - 76032x  - 33792x - 5632)log(- 2x + 1) - 33264x
+--R     + 
+--R               2
+--R       - 85932x  - 85316x - 27741
+--R  /
+--R             4            3            2
+--R     5445468x  + 14521248x  + 14521248x  + 6453888x + 1075648
+--R                                                    Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              4         3         2
+--R       (28512x  + 76032x  + 76032x  + 33792x + 5632)log(3x + 2)
+--R     + 
+--R                4         3         2                                     3
+--R       (- 28512x  - 76032x  - 76032x  - 33792x - 5632)log(2x - 1) - 33264x
+--R     + 
+--R               2
+--R       - 85932x  - 85316x - 27741
+--R  /
+--R             4            3            2
+--R     5445468x  + 14521248x  + 14521248x  + 6453888x + 1075648
+--R                                         Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 88log(2x - 1) + 88log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                      16807
+--R                                                    Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^6)
+--R 
+--R
+--R                               - 5x - 3
+--R   (1)  ------------------------------------------------------
+--R             7        6        5        4        2
+--R        1458x  + 5103x  + 6804x  + 3780x  - 1008x  - 448x - 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=1/105/(2+3*x)^5+(-11/196)/(2+3*x)^4+(-22/1029)/(2+3*x)^3+_
+     (-22/2401)/(2+3*x)^2+(-88/16807)/(2+3*x)-176/117649*log(1-2*x)+_
+     176/117649*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                  5           4            3           2
+--R         (2566080x  + 8553600x  + 11404800x  + 7603200x  + 2534400x + 337920)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    5           4            3           2
+--R         (- 2566080x  - 8553600x  - 11404800x  - 7603200x  - 2534400x - 337920)
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                 4           3            2
+--R       - 2993760x  - 9729720x  - 12834360x  - 8876175x - 2437582
+--R  /
+--R                  5              4              3              2
+--R       1715322420x  + 5717741400x  + 7623655200x  + 5082436800x  + 1694145600x
+--R     + 
+--R       225886080
+--R                                                    Type: Expression(Integer)
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  5           4            3           2
+--R         (2566080x  + 8553600x  + 11404800x  + 7603200x  + 2534400x + 337920)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    5           4            3           2
+--R         (- 2566080x  - 8553600x  - 11404800x  - 7603200x  - 2534400x - 337920)
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                 4           3            2
+--R       - 2993760x  - 9729720x  - 12834360x  - 8876175x - 2437582
+--R  /
+--R                  5              4              3              2
+--R       1715322420x  + 5717741400x  + 7623655200x  + 5082436800x  + 1694145600x
+--R     + 
+--R       225886080
+--R                                         Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 176log(2x - 1) + 176log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                       117649
+--R                                                    Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^7)
+--R 
+--R
+--R   (1)
+--R                                      - 5x - 3
+--R   -----------------------------------------------------------------------------
+--R        8         7         6         5        4        3        2
+--R   4374x  + 18225x  + 30618x  + 24948x  + 7560x  - 3024x  - 3360x  - 1088x - 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=1/126/(2+3*x)^6+(-11/245)/(2+3*x)^5+(-11/686)/(2+3*x)^4+_
+     (-44/7203)/(2+3*x)^3+(-44/16807)/(2+3*x)^2+(-176/117649)/(2+3*x)-_
+     352/823543*log(1-2*x)+352/823543*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                    6            5             4             3            2
+--R           23094720x  + 92378880x  + 153964800x  + 136857600x  + 68428800x
+--R         + 
+--R           18247680x + 2027520
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      6            5             4             3            2
+--R           - 23094720x  - 92378880x  - 153964800x  - 136857600x  - 68428800x
+--R         + 
+--R           - 18247680x - 2027520
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                  5             4             3             2
+--R       - 26943840x  - 105530040x  - 173887560x  - 156891735x  - 85783698x
+--R     + 
+--R       - 21096187
+--R  /
+--R                   6                5                4                3
+--R       54032656230x  + 216130624920x  + 360217708200x  + 320193518400x
+--R     + 
+--R                    2
+--R       160096759200x  + 42692469120x + 4743607680
+--R                                                    Type: Expression(Integer)
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                    6            5             4             3            2
+--R           23094720x  + 92378880x  + 153964800x  + 136857600x  + 68428800x
+--R         + 
+--R           18247680x + 2027520
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      6            5             4             3            2
+--R           - 23094720x  - 92378880x  - 153964800x  - 136857600x  - 68428800x
+--R         + 
+--R           - 18247680x - 2027520
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                  5             4             3             2
+--R       - 26943840x  - 105530040x  - 173887560x  - 156891735x  - 85783698x
+--R     + 
+--R       - 21096187
+--R  /
+--R                   6                5                4                3
+--R       54032656230x  + 216130624920x  + 360217708200x  + 320193518400x
+--R     + 
+--R                    2
+--R       160096759200x  + 42692469120x + 4743607680
+--R                                         Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 352log(2x - 1) + 352log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                       823543
+--R                                                    Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^8)
+--R 
+--R
+--R   (1)
+--R     - 5x - 3
+--R  /
+--R             9         8          7          6         5        4         3
+--R       13122x  + 63423x  + 128304x  + 136080x  + 72576x  + 6048x  - 16128x
+--R     + 
+--R              2
+--R       - 9984x  - 2560x - 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=1/147/(2+3*x)^7+(-11/294)/(2+3*x)^6+(-22/1715)/(2+3*x)^5+_
+     (-11/2401)/(2+3*x)^4+(-88/50421)/(2+3*x)^3+(-88/117649)/(2+3*x)^2+_
+     (-352/823543)/(2+3*x)-704/5764801*log(1-2*x)+704/5764801*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                    7             6             5             4             3
+--R           46189440x  + 215550720x  + 431101440x  + 479001600x  + 319334400x
+--R         + 
+--R                     2
+--R           127733760x  + 28385280x + 2703360
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      7             6             5             4             3
+--R           - 46189440x  - 215550720x  - 431101440x  - 479001600x  - 319334400x
+--R         + 
+--R                       2
+--R           - 127733760x  - 28385280x - 2703360
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                  6             5             4             3             2
+--R       - 53887680x  - 246985200x  - 488481840x  - 545633550x  - 380756376x
+--R     + 
+--R       - 177159213x - 40677476
+--R  /
+--R                    7                 6                 5                 4
+--R       378228593610x  + 1765066770180x  + 3530133540360x  + 3922370600400x
+--R     + 
+--R                     3                 2
+--R       2614913733600x  + 1045965493440x  + 232436776320x + 22136835840
+--R                                                    Type: Expression(Integer)
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                    7             6             5             4             3
+--R           46189440x  + 215550720x  + 431101440x  + 479001600x  + 319334400x
+--R         + 
+--R                     2
+--R           127733760x  + 28385280x + 2703360
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      7             6             5             4             3
+--R           - 46189440x  - 215550720x  - 431101440x  - 479001600x  - 319334400x
+--R         + 
+--R                       2
+--R           - 127733760x  - 28385280x - 2703360
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                  6             5             4             3             2
+--R       - 53887680x  - 246985200x  - 488481840x  - 545633550x  - 380756376x
+--R     + 
+--R       - 177159213x - 40677476
+--R  /
+--R                    7                 6                 5                 4
+--R       378228593610x  + 1765066770180x  + 3530133540360x  + 3922370600400x
+--R     + 
+--R                     3                 2
+--R       2614913733600x  + 1045965493440x  + 232436776320x + 22136835840
+--R                                         Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 704log(2x - 1) + 704log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                      5764801
+--R                                                    Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(2+3*x)^m*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R              2                   m
+--R        (- 25x  - 30x - 9)(3x + 2)
+--R   (1)  ---------------------------
+--R                   2x - 1
+--R                                                    Type: Expression(Integer)
+--E 86
+
+--S 87 of 500
+--r0:=-5/36*(64+33*m)*(2+3*x)^(1+m)/((1+m)*(2+m))-_
+--    5/6*(2+3*x)^(1+m)*(3+5*x)/(2+m)+121/28*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)
+--E 87
+
+--S 88 of 500
+--a0:=integrate(t0,x)
+--E 88
+
+--S 89 of 500
+--m0:=a0-r0
+--E 89
+
+--S 90 of 500
+--d0:=D(m0,x)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(2+3*x)^8*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R   (1)
+--R                10           9           8           7           6           5
+--R       - 164025x   - 1071630x  - 3150009x  - 5485968x  - 6268752x  - 4910976x
+--R     + 
+--R                 4          3          2
+--R       - 2671200x  - 996096x  - 243712x  - 35328x - 2304
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 91
+
+--S 92 of 500
+r0:=-695181625/1024*x-677093689/1024*x^2-204901139/256*x^3-_
+     487203129/512*x^4-316246329/320*x^5-53031699/64*x^6-8399295/16*x^7-_
+     14907321/64*x^8-256365/4*x^9-32805/4*x^10-697540921/2048*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                            10             9              8
+--R       - 3487704605log(- 2x + 1) - 83980800x   - 656294400x  - 2385171360x
+--R     + 
+--R                    7              6               5              4
+--R       - 5375548800x  - 8485071840x  - 10119882528x  - 9744062580x
+--R     + 
+--R                    3              2
+--R       - 8196045560x  - 6770936890x  - 6951816250x
+--R  /
+--R     10240
+--R                                                    Type: Expression(Integer)
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                          10             9              8
+--R       - 3487704605log(2x - 1) - 83980800x   - 656294400x  - 2385171360x
+--R     + 
+--R                    7              6               5              4
+--R       - 5375548800x  - 8485071840x  - 10119882528x  - 9744062580x
+--R     + 
+--R                    3              2
+--R       - 8196045560x  - 6770936890x  - 6951816250x
+--R  /
+--R     10240
+--R                                         Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 697540921log(2x - 1) + 697540921log(- 2x + 1)
+--R   (4)  -----------------------------------------------
+--R                              2048
+--R                                                    Type: Expression(Integer)
+--E 94
+
+--S 95 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(2+3*x)^7*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R   (1)
+--R               9          8          7           6           5          4
+--R       - 54675x  - 320760x  - 836163x  - 1271214x  - 1242108x  - 808920x
+--R     + 
+--R                3         2
+--R       - 351120x  - 97952x  - 15936x - 1152
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 96
+
+--S 97 of 500
+r0:=-99058879/512*x-94979263/512*x^2-27480469/128*x^3-59969727/256*x^4-_
+     34084287/160*x^5-4736853/32*x^6-4040847/56*x^7-696195/32*x^8-_
+     6075/2*x^9-99648703/1024*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                             9             8              7
+--R       - 3487704605log(- 2x + 1) - 108864000x  - 779738400x  - 2586142080x
+--R     + 
+--R                    6              5              4              3
+--R       - 5305275360x  - 7634880288x  - 8395761780x  - 7694531320x
+--R     + 
+--R                    2
+--R       - 6648548410x  - 6934121530x
+--R  /
+--R     35840
+--R                                                    Type: Expression(Integer)
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                           9             8              7
+--R       - 3487704605log(2x - 1) - 108864000x  - 779738400x  - 2586142080x
+--R     + 
+--R                    6              5              4              3
+--R       - 5305275360x  - 7634880288x  - 8395761780x  - 7694531320x
+--R     + 
+--R                    2
+--R       - 6648548410x  - 6934121530x
+--R  /
+--R     35840
+--R                                         Type: Union(Expression(Integer),...)
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 99648703log(2x - 1) + 99648703log(- 2x + 1)
+--R   (4)  ---------------------------------------------
+--R                             1024
+--R                                                    Type: Expression(Integer)
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(2+3*x)^6*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R   (1)
+--R               8         7          6          5          4          3         2
+--R       - 18225x  - 94770x  - 215541x  - 280044x  - 227340x  - 118080x  - 38320x
+--R     + 
+--R       - 7104x - 576
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 101
+
+--S 102 of 500
+r0:=-14088073/256*x-13178761/256*x^2-3575427/64*x^3-6947721/128*x^4-_
+     3310281/80*x^5-356643/16*x^6-207765/28*x^7-18225/16*x^8-_
+     14235529/512*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                           8             7             6
+--R       - 498243515log(- 2x + 1) - 20412000x  - 132969600x  - 399440160x
+--R     + 
+--R                   5             4              3             2
+--R       - 741502944x  - 972680940x  - 1001119560x  - 922513270x  - 986165110x
+--R  /
+--R     17920
+--R                                                    Type: Expression(Integer)
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                         8             7             6
+--R       - 498243515log(2x - 1) - 20412000x  - 132969600x  - 399440160x
+--R     + 
+--R                   5             4              3             2
+--R       - 741502944x  - 972680940x  - 1001119560x  - 922513270x  - 986165110x
+--R  /
+--R     17920
+--R                                         Type: Union(Expression(Integer),...)
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 14235529log(2x - 1) + 14235529log(- 2x + 1)
+--R   (4)  ---------------------------------------------
+--R                             512
+--R                                                    Type: Expression(Integer)
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(2+3*x)^5*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R   (1)
+--R          7         6         5         4         3         2
+--R   - 6075x  - 27540x  - 53487x  - 57690x  - 37320x  - 14480x  - 3120x - 288
+--R   ------------------------------------------------------------------------
+--R                                    2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 106
+
+--S 107 of 500
+r0:=-1996783/128*x-1797103/128*x^2-444581/32*x^3-736623/64*x^4-_
+     275103/40*x^5-20385/8*x^6-6075/14*x^7-2033647/256*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                         7            6            5
+--R       - 71177645log(- 2x + 1) - 3888000x  - 22831200x  - 61623072x
+--R     + 
+--R                   4             3             2
+--R       - 103127220x  - 124482680x  - 125797210x  - 139774810x
+--R  /
+--R     8960
+--R                                                    Type: Expression(Integer)
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                       7            6            5             4
+--R       - 71177645log(2x - 1) - 3888000x  - 22831200x  - 61623072x  - 103127220x
+--R     + 
+--R                   3             2
+--R       - 124482680x  - 125797210x  - 139774810x
+--R  /
+--R     8960
+--R                                         Type: Union(Expression(Integer),...)
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 2033647log(2x - 1) + 2033647log(- 2x + 1)
+--R   (4)  -------------------------------------------
+--R                            256
+--R                                                    Type: Expression(Integer)
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(2+3*x)^4*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R               6        5         4         3        2
+--R        - 2025x  - 7830x  - 12609x  - 10824x  - 5224x  - 1344x - 144
+--R   (1)  ------------------------------------------------------------
+--R                                   2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 111
+
+--S 112 of 500
+r0:=-281305/64*x-238297/64*x^2-51571/16*x^3-68121/32*x^4-3537/4*x^5-_
+     675/4*x^6-290521/128*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                     6          5          4          3
+--R       - 290521log(- 2x + 1) - 21600x  - 113184x  - 272484x  - 412568x
+--R     + 
+--R                2
+--R       - 476594x  - 562610x
+--R  /
+--R     128
+--R                                                    Type: Expression(Integer)
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                   6          5          4          3          2
+--R       - 290521log(2x - 1) - 21600x  - 113184x  - 272484x  - 412568x  - 476594x
+--R     + 
+--R       - 562610x
+--R  /
+--R     128
+--R                                         Type: Union(Expression(Integer),...)
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 290521log(2x - 1) + 290521log(- 2x + 1)
+--R   (4)  -----------------------------------------
+--R                           128
+--R                                                    Type: Expression(Integer)
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(2+3*x)^3*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R              5        4        3        2
+--R        - 675x  - 2160x  - 2763x  - 1766x  - 564x - 72
+--R   (1)  ----------------------------------------------
+--R                            2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 116
+
+--S 117 of 500
+r0:=-39199/32*x-30175/32*x^2-5349/8*x^3-4995/16*x^4-135/2*x^5-_
+     41503/64*log(1-2*x)
+--R 
+--R
+--R                                    5         4         3         2
+--R        - 41503log(- 2x + 1) - 4320x  - 19980x  - 42792x  - 60350x  - 78398x
+--R   (2)  --------------------------------------------------------------------
+--R                                         64
+--R                                                    Type: Expression(Integer)
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                  5         4         3         2
+--R        - 41503log(2x - 1) - 4320x  - 19980x  - 42792x  - 60350x  - 78398x
+--R   (3)  ------------------------------------------------------------------
+--R                                        64
+--R                                         Type: Union(Expression(Integer),...)
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 41503log(2x - 1) + 41503log(- 2x + 1)
+--R   (4)  ---------------------------------------
+--R                           64
+--R                                                    Type: Expression(Integer)
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(2+3*x)^2*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R              4       3       2
+--R        - 225x  - 570x  - 541x  - 228x - 36
+--R   (1)  -----------------------------------
+--R                       2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 121
+
+--S 122 of 500
+r0:=-5353/16*x-3529/16*x^2-455/4*x^3-225/8*x^4-5929/32*log(1-2*x)
+--R 
+--R
+--R                                  4        3        2
+--R        - 5929log(- 2x + 1) - 900x  - 3640x  - 7058x  - 10706x
+--R   (2)  ------------------------------------------------------
+--R                                  32
+--R                                                    Type: Expression(Integer)
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                4        3        2
+--R        - 5929log(2x - 1) - 900x  - 3640x  - 7058x  - 10706x
+--R   (3)  ----------------------------------------------------
+--R                                 32
+--R                                         Type: Union(Expression(Integer),...)
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 5929log(2x - 1) + 5929log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                          32
+--R                                                    Type: Expression(Integer)
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(2+3*x)*(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R             3       2
+--R        - 75x  - 140x  - 87x - 18
+--R   (1)  -------------------------
+--R                  2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 126
+
+--S 127 of 500
+r0:=-703/8*x-355/8*x^2-25/2*x^3-847/16*log(1-2*x)
+--R 
+--R
+--R                                 3       2
+--R        - 847log(- 2x + 1) - 200x  - 710x  - 1406x
+--R   (2)  ------------------------------------------
+--R                            16
+--R                                                    Type: Expression(Integer)
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                               3       2
+--R        - 847log(2x - 1) - 200x  - 710x  - 1406x
+--R   (3)  ----------------------------------------
+--R                           16
+--R                                         Type: Union(Expression(Integer),...)
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 847log(2x - 1) + 847log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                         16
+--R                                                    Type: Expression(Integer)
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(3+5*x)^2/(1-2*x)
+--R 
+--R
+--R             2
+--R        - 25x  - 30x - 9
+--R   (1)  ----------------
+--R             2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 131
+
+--S 132 of 500
+r0:=-85/4*x-25/4*x^2-121/8*log(1-2*x)
+--R 
+--R
+--R                                2
+--R        - 121log(- 2x + 1) - 50x  - 170x
+--R   (2)  --------------------------------
+--R                        8
+--R                                                    Type: Expression(Integer)
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                              2
+--R        - 121log(2x - 1) - 50x  - 170x
+--R   (3)  ------------------------------
+--R                       8
+--R                                         Type: Union(Expression(Integer),...)
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 121log(2x - 1) + 121log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                         8
+--R                                                    Type: Expression(Integer)
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x))
+--R 
+--R
+--R             2
+--R        - 25x  - 30x - 9
+--R   (1)  ----------------
+--R             2
+--R           6x  + x - 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 136
+
+--S 137 of 500
+r0:=-25/6*x-121/28*log(1-2*x)+1/63*log(2+3*x)
+--R 
+--R
+--R        4log(3x + 2) - 1089log(- 2x + 1) - 1050x
+--R   (2)  ----------------------------------------
+--R                           252
+--R                                                    Type: Expression(Integer)
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        4log(3x + 2) - 1089log(2x - 1) - 1050x
+--R   (3)  --------------------------------------
+--R                          252
+--R                                         Type: Union(Expression(Integer),...)
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 121log(2x - 1) + 121log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                         28
+--R                                                    Type: Expression(Integer)
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^2)
+--R 
+--R
+--R               2
+--R          - 25x  - 30x - 9
+--R   (1)  --------------------
+--R           3      2
+--R        18x  + 15x  - 4x - 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 141
+
+--S 142 of 500
+r0:=(-1/63)/(2+3*x)-121/98*log(1-2*x)-68/441*log(2+3*x)
+--R 
+--R
+--R        (- 408x - 272)log(3x + 2) + (- 3267x - 2178)log(- 2x + 1) - 14
+--R   (2)  --------------------------------------------------------------
+--R                                 2646x + 1764
+--R                                                    Type: Expression(Integer)
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (- 408x - 272)log(3x + 2) + (- 3267x - 2178)log(2x - 1) - 14
+--R   (3)  ------------------------------------------------------------
+--R                                2646x + 1764
+--R                                         Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 121log(2x - 1) + 121log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                         98
+--R                                                    Type: Expression(Integer)
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^3)
+--R 
+--R
+--R                   2
+--R              - 25x  - 30x - 9
+--R   (1)  ----------------------------
+--R           4      3      2
+--R        54x  + 81x  + 18x  - 20x - 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=(-1/126)/(2+3*x)^2+68/441/(2+3*x)-121/343*log(1-2*x)+121/343*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R              2
+--R       (19602x  + 26136x + 8712)log(3x + 2)
+--R     + 
+--R                2
+--R       (- 19602x  - 26136x - 8712)log(- 2x + 1) + 2856x + 1855
+--R  /
+--R           2
+--R     55566x  + 74088x + 24696
+--R                                                    Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R              2
+--R       (19602x  + 26136x + 8712)log(3x + 2)
+--R     + 
+--R                2
+--R       (- 19602x  - 26136x - 8712)log(2x - 1) + 2856x + 1855
+--R  /
+--R           2
+--R     55566x  + 74088x + 24696
+--R                                         Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 121log(2x - 1) + 121log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                        343
+--R                                                    Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^4)
+--R 
+--R
+--R                         2
+--R                    - 25x  - 30x - 9
+--R   (1)  ---------------------------------------
+--R            5       4       3      2
+--R        162x  + 351x  + 216x  - 24x  - 64x - 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=(-1/189)/(2+3*x)^3+34/441/(2+3*x)^2+(-121/343)/(2+3*x)-_
+     242/2401*log(1-2*x)+242/2401*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R               3          2
+--R       (176418x  + 352836x  + 235224x + 52272)log(3x + 2)
+--R     + 
+--R                 3          2                                          2
+--R       (- 176418x  - 352836x  - 235224x - 52272)log(- 2x + 1) - 205821x
+--R     + 
+--R       - 259434x - 81823
+--R  /
+--R             3           2
+--R     1750329x  + 3500658x  + 2333772x + 518616
+--R                                                    Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               3          2
+--R       (176418x  + 352836x  + 235224x + 52272)log(3x + 2)
+--R     + 
+--R                 3          2                                        2
+--R       (- 176418x  - 352836x  - 235224x - 52272)log(2x - 1) - 205821x  - 259434x
+--R     + 
+--R       - 81823
+--R  /
+--R             3           2
+--R     1750329x  + 3500658x  + 2333772x + 518616
+--R                                         Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 242log(2x - 1) + 242log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                        2401
+--R                                                    Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^5)
+--R 
+--R
+--R                               2
+--R                          - 25x  - 30x - 9
+--R   (1)  ---------------------------------------------------
+--R            6        5        4       3       2
+--R        486x  + 1377x  + 1350x  + 360x  - 240x  - 176x - 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=(-1/252)/(2+3*x)^4+68/1323/(2+3*x)^3+(-121/686)/(2+3*x)^2+(-242/2401)/_
+     (2+3*x)-484/16807*log(1-2*x)+484/16807*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                4            3            2
+--R       (4234032x  + 11290752x  + 11290752x  + 5018112x + 836352)log(3x + 2)
+--R     + 
+--R                  4            3            2
+--R       (- 4234032x  - 11290752x  - 11290752x  - 5018112x - 836352)log(- 2x + 1)
+--R     + 
+--R                 3            2
+--R       - 4939704x  - 12760902x  - 10148376x - 2564891
+--R  /
+--R               4             3             2
+--R     147027636x  + 392073696x  + 392073696x  + 174254976x + 29042496
+--R                                                    Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                4            3            2
+--R       (4234032x  + 11290752x  + 11290752x  + 5018112x + 836352)log(3x + 2)
+--R     + 
+--R                  4            3            2
+--R       (- 4234032x  - 11290752x  - 11290752x  - 5018112x - 836352)log(2x - 1)
+--R     + 
+--R                 3            2
+--R       - 4939704x  - 12760902x  - 10148376x - 2564891
+--R  /
+--R               4             3             2
+--R     147027636x  + 392073696x  + 392073696x  + 174254976x + 29042496
+--R                                         Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 484log(2x - 1) + 484log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                       16807
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^6)
+--R 
+--R
+--R                                2
+--R                           - 25x  - 30x - 9
+--R   (1)  ------------------------------------------------------
+--R             7        6        5        4        2
+--R        1458x  + 5103x  + 6804x  + 3780x  - 1008x  - 448x - 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=(-1/315)/(2+3*x)^5+17/441/(2+3*x)^4+(-121/1029)/(2+3*x)^3+(-121/2401)/_
+     (2+3*x)^2+(-484/16807)/(2+3*x)-968/117649*log(1-2*x)+968/117649*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                      5            4            3            2
+--R             10585080x  + 35283600x  + 47044800x  + 31363200x  + 10454400x
+--R           + 
+--R             1393920
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      5            4            3            2
+--R           - 10585080x  - 35283600x  - 47044800x  - 31363200x  - 10454400x
+--R         + 
+--R           - 1393920
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                  4            3            2
+--R       - 12349260x  - 40135095x  - 52941735x  - 31099425x - 6672617
+--R  /
+--R                  5              4              3              2
+--R       1286491815x  + 4288306050x  + 5717741400x  + 3811827600x  + 1270609200x
+--R     + 
+--R       169414560
+--R                                                    Type: Expression(Integer)
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      5            4            3            2
+--R             10585080x  + 35283600x  + 47044800x  + 31363200x  + 10454400x
+--R           + 
+--R             1393920
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                      5            4            3            2
+--R           - 10585080x  - 35283600x  - 47044800x  - 31363200x  - 10454400x
+--R         + 
+--R           - 1393920
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                  4            3            2
+--R       - 12349260x  - 40135095x  - 52941735x  - 31099425x - 6672617
+--R  /
+--R                  5              4              3              2
+--R       1286491815x  + 4288306050x  + 5717741400x  + 3811827600x  + 1270609200x
+--R     + 
+--R       169414560
+--R                                         Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 968log(2x - 1) + 968log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                       117649
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^7)
+--R 
+--R
+--R   (1)
+--R                                       2
+--R                                  - 25x  - 30x - 9
+--R   -----------------------------------------------------------------------------
+--R        8         7         6         5        4        3        2
+--R   4374x  + 18225x  + 30618x  + 24948x  + 7560x  - 3024x  - 3360x  - 1088x - 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=(-1/378)/(2+3*x)^6+68/2205/(2+3*x)^5+(-121/1372)/(2+3*x)^4+_
+     (-242/7203)/(2+3*x)^3+(-242/16807)/(2+3*x)^2+(-968/117649)/(2+3*x)-_
+     1936/823543*log(1-2*x)+1936/823543*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                     6              5              4              3
+--R           762125760x  + 3048503040x  + 5080838400x  + 4516300800x
+--R         + 
+--R                      2
+--R           2258150400x  + 602173440x + 66908160
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                       6              5              4              3
+--R           - 762125760x  - 3048503040x  - 5080838400x  - 4516300800x
+--R         + 
+--R                        2
+--R           - 2258150400x  - 602173440x - 66908160
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                   5              4              3              2
+--R       - 889146720x  - 3482491320x  - 5738289480x  - 5177427255x  - 2460267684x
+--R     + 
+--R       - 469699846
+--R  /
+--R                    6                 5                 4                 3
+--R       324195937380x  + 1296783749520x  + 2161306249200x  + 1921161110400x
+--R     + 
+--R                    2
+--R       960580555200x  + 256154814720x + 28461646080
+--R                                                    Type: Expression(Integer)
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                     6              5              4              3
+--R           762125760x  + 3048503040x  + 5080838400x  + 4516300800x
+--R         + 
+--R                      2
+--R           2258150400x  + 602173440x + 66908160
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                       6              5              4              3
+--R           - 762125760x  - 3048503040x  - 5080838400x  - 4516300800x
+--R         + 
+--R                        2
+--R           - 2258150400x  - 602173440x - 66908160
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                   5              4              3              2
+--R       - 889146720x  - 3482491320x  - 5738289480x  - 5177427255x  - 2460267684x
+--R     + 
+--R       - 469699846
+--R  /
+--R                    6                 5                 4                 3
+--R       324195937380x  + 1296783749520x  + 2161306249200x  + 1921161110400x
+--R     + 
+--R                    2
+--R       960580555200x  + 256154814720x + 28461646080
+--R                                         Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1936log(2x - 1) + 1936log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                        823543
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^8)
+--R 
+--R
+--R   (1)
+--R          2
+--R     - 25x  - 30x - 9
+--R  /
+--R             9         8          7          6         5        4         3
+--R       13122x  + 63423x  + 128304x  + 136080x  + 72576x  + 6048x  - 16128x
+--R     + 
+--R              2
+--R       - 9984x  - 2560x - 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-1/441)/(2+3*x)^7+34/1323/(2+3*x)^6+(-121/1715)/(2+3*x)^5+_
+     (-121/4802)/(2+3*x)^4+(-484/50421)/(2+3*x)^3+(-484/117649)/(2+3*x)^2+_
+     (-1936/823543)/(2+3*x)-3872/5764801*log(1-2*x)+3872/5764801*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                      7               6               5               4
+--R           2286377280x  + 10669760640x  + 21339521280x  + 23710579200x
+--R         + 
+--R                       3              2
+--R           15807052800x  + 6322821120x  + 1405071360x + 133816320
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                        7               6               5               4
+--R           - 2286377280x  - 10669760640x  - 21339521280x  - 23710579200x
+--R         + 
+--R                         3              2
+--R           - 15807052800x  - 6322821120x  - 1405071360x - 133816320
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                    6               5               4               3
+--R       - 2667440160x  - 12225767400x  - 24179851080x  - 27008860725x
+--R     + 
+--R                     2
+--R       - 18847440612x  - 7688480856x - 1354700662
+--R  /
+--R                     7                  6                  5                  4
+--R       3404057342490x  + 15885600931620x  + 31771201863240x  + 35301335403600x
+--R     + 
+--R                      3                 2
+--R       23534223602400x  + 9413689440960x  + 2091930986880x + 199231522560
+--R                                                    Type: Expression(Integer)
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      7               6               5               4
+--R           2286377280x  + 10669760640x  + 21339521280x  + 23710579200x
+--R         + 
+--R                       3              2
+--R           15807052800x  + 6322821120x  + 1405071360x + 133816320
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                        7               6               5               4
+--R           - 2286377280x  - 10669760640x  - 21339521280x  - 23710579200x
+--R         + 
+--R                         3              2
+--R           - 15807052800x  - 6322821120x  - 1405071360x - 133816320
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                    6               5               4               3
+--R       - 2667440160x  - 12225767400x  - 24179851080x  - 27008860725x
+--R     + 
+--R                     2
+--R       - 18847440612x  - 7688480856x - 1354700662
+--R  /
+--R                     7                  6                  5                  4
+--R       3404057342490x  + 15885600931620x  + 31771201863240x  + 35301335403600x
+--R     + 
+--R                      3                 2
+--R       23534223602400x  + 9413689440960x  + 2091930986880x + 199231522560
+--R                                         Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 3872log(2x - 1) + 3872log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                       5764801
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(2+3*x)^m*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R               3       2                     m
+--R        (- 125x  - 225x  - 135x - 27)(3x + 2)
+--R   (1)  --------------------------------------
+--R                        2x - 1
+--R                                                    Type: Expression(Integer)
+--E 176
+
+--S 177 of 500
+--r0:=-5135/216*(2+3*x)^(1+m)/(1+m)-725/108*(2+3*x)^(2+m)/(2+m)-_
+--     125/54*(2+3*x)^(3+m)/(3+m)+1331/56*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)
+--E 177
+
+--S 178 of 500
+--a0:=integrate(t0,x)
+--E 178
+
+--S 179 of 500
+--m0:=a0-r0
+--E 179
+
+--S 180 of 500
+--d0:=D(m0,x)
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(2+3*x)^7*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R   (1)
+--R                10           9           8           7            6           5
+--R       - 273375x   - 1767825x  - 5143095x  - 8864559x  - 10024182x  - 7770924x
+--R     + 
+--R                 4           3          2
+--R       - 4182360x  - 1543120x  - 373536x  - 53568x - 3456
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 181
+
+--S 182 of 500
+r0:=-1092596789/1024*x-1065169973/1024*x^2-969544757/768*x^3-_
+     772025397/512*x^4-504354357/320*x^5-85228263/64*x^6-_
+     95297877/112*x^7-24381405/64*x^8-423225/4*x^9-54675/4*x^10-_
+     1096135733/2048*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                                10               9
+--R       - 115094251965log(- 2x + 1) - 2939328000x   - 22752576000x
+--R     + 
+--R                     8                7                6                5
+--R       - 81921520800x  - 182971923840x  - 286366963680x  - 338926127904x
+--R     + 
+--R                      4                3                2
+--R       - 324250666740x  - 271472531960x  - 223685694330x  - 229445325690x
+--R  /
+--R     215040
+--R                                                    Type: Expression(Integer)
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                              10               9               8
+--R       - 115094251965log(2x - 1) - 2939328000x   - 22752576000x  - 81921520800x
+--R     + 
+--R                      7                6                5                4
+--R       - 182971923840x  - 286366963680x  - 338926127904x  - 324250666740x
+--R     + 
+--R                      3                2
+--R       - 271472531960x  - 223685694330x  - 229445325690x
+--R  /
+--R     215040
+--R                                         Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1096135733log(2x - 1) + 1096135733log(- 2x + 1)
+--R   (4)  -------------------------------------------------
+--R                               2048
+--R                                                    Type: Expression(Integer)
+--E 184
+
+--S 185 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(2+3*x)^6*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R   (1)
+--R               9          8           7           6           5           4
+--R       - 91125x  - 528525x  - 1362015x  - 2046843x  - 1976832x  - 1272420x
+--R     + 
+--R                3          2
+--R       - 545840x  - 150480x  - 24192x - 1728
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 186
+
+--S 187 of 500
+r0:=-155706083/512*x-149512931/512*x^2-130251491/384*x^3-95317731/256*x^4-_
+     54600291/160*x^5-7656993/32*x^6-6596235/56*x^7-1148175/32*x^8-_
+     10125/2*x^9-156590819/1024*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                              9              8               7
+--R       - 16442035995log(- 2x + 1) - 544320000x  - 3857868000x  - 12664771200x
+--R     + 
+--R                     6               5               4               3
+--R       - 25727496480x  - 36691395552x  - 40033447020x  - 36470417480x
+--R     + 
+--R                     2
+--R       - 31397715510x  - 32698277430x
+--R  /
+--R     107520
+--R                                                    Type: Expression(Integer)
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                            9              8               7
+--R       - 16442035995log(2x - 1) - 544320000x  - 3857868000x  - 12664771200x
+--R     + 
+--R                     6               5               4               3
+--R       - 25727496480x  - 36691395552x  - 40033447020x  - 36470417480x
+--R     + 
+--R                     2
+--R       - 31397715510x  - 32698277430x
+--R  /
+--R     107520
+--R                                         Type: Union(Expression(Integer),...)
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 156590819log(2x - 1) + 156590819log(- 2x + 1)
+--R   (4)  -----------------------------------------------
+--R                              1024
+--R                                                    Type: Expression(Integer)
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(2+3*x)^5*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R   (1)
+--R               8          7          6          5          4          3
+--R       - 30375x  - 155925x  - 350055x  - 448911x  - 359670x  - 184360x
+--R     + 
+--R               2
+--R       - 59040x  - 10800x - 864
+--R  /
+--R     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 191
+
+--S 192 of 500
+r0:=-22148933/256*x-20766533/256*x^2-16987973/192*x^3-11088453/128*x^4-_
+     5333733/80*x^5-580815/16*x^6-342225/28*x^7-30375/16*x^8-_
+     22370117/512*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                             8             7              6
+--R       - 2348862285log(- 2x + 1) - 102060000x  - 657072000x  - 1951538400x
+--R     + 
+--R                  5              4              3              2
+--R     - 3584268576x  - 4657150260x  - 4756632440x  - 4360971930x  - 4651275930x
+--R  /
+--R     53760
+--R                                                    Type: Expression(Integer)
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                           8             7              6
+--R       - 2348862285log(2x - 1) - 102060000x  - 657072000x  - 1951538400x
+--R     + 
+--R                  5              4              3              2
+--R     - 3584268576x  - 4657150260x  - 4756632440x  - 4360971930x  - 4651275930x
+--R  /
+--R     53760
+--R                                         Type: Union(Expression(Integer),...)
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 22370117log(2x - 1) + 22370117log(- 2x + 1)
+--R   (4)  ---------------------------------------------
+--R                             512
+--R                                                    Type: Expression(Integer)
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(2+3*x)^4*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R   (1)
+--R           7         6         5         4         3         2
+--R   - 10125x  - 45225x  - 86535x  - 91947x  - 58592x  - 22392x  - 4752x - 432
+--R   -------------------------------------------------------------------------
+--R                                     2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 196
+
+--S 197 of 500
+r0:=-3140435/128*x-2836307/128*x^2-2119763/96*x^3-1182291/64*x^4-_
+     89343/8*x^5-33525/8*x^6-10125/14*x^7-3195731/256*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                         7            6            5
+--R       - 67110351log(- 2x + 1) - 3888000x  - 22528800x  - 60038496x
+--R     + 
+--R                  4             3             2
+--R       - 99312444x  - 118706728x  - 119124894x  - 131898270x
+--R  /
+--R     5376
+--R                                                    Type: Expression(Integer)
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                       7            6            5            4
+--R       - 67110351log(2x - 1) - 3888000x  - 22528800x  - 60038496x  - 99312444x
+--R     + 
+--R                   3             2
+--R       - 118706728x  - 119124894x  - 131898270x
+--R  /
+--R     5376
+--R                                         Type: Union(Expression(Integer),...)
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 3195731log(2x - 1) + 3195731log(- 2x + 1)
+--R   (4)  -------------------------------------------
+--R                            256
+--R                                                    Type: Expression(Integer)
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(2+3*x)^3*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R               6         5         4         3        2
+--R        - 3375x  - 12825x  - 20295x  - 17119x  - 8118x  - 2052x - 216
+--R   (1)  -------------------------------------------------------------
+--R                                    2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 201
+
+--S 202 of 500
+r0:=-442709/64*x-377045/64*x^2-247157/48*x^3-110205/32*x^4-5805/4*x^5-_
+     1125/4*x^6-456533/128*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                       6          5           4           3
+--R       - 1369599log(- 2x + 1) - 108000x  - 557280x  - 1322460x  - 1977256x
+--R     + 
+--R                 2
+--R       - 2262270x  - 2656254x
+--R  /
+--R     384
+--R                                                    Type: Expression(Integer)
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                     6          5           4           3
+--R       - 1369599log(2x - 1) - 108000x  - 557280x  - 1322460x  - 1977256x
+--R     + 
+--R                 2
+--R       - 2262270x  - 2656254x
+--R  /
+--R     384
+--R                                         Type: Union(Expression(Integer),...)
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 456533log(2x - 1) + 456533log(- 2x + 1)
+--R   (4)  -----------------------------------------
+--R                           128
+--R                                                    Type: Expression(Integer)
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(2+3*x)^2*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R               5        4        3        2
+--R        - 1125x  - 3525x  - 4415x  - 2763x  - 864x - 108
+--R   (1)  ------------------------------------------------
+--R                             2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 206
+
+--S 207 of 500
+r0:=-61763/32*x-47939/32*x^2-25835/24*x^3-8175/16*x^4-225/2*x^5-_
+     65219/64*log(1-2*x)
+--R 
+--R
+--R   (2)
+--R                                 5         4          3          2
+--R   - 195657log(- 2x + 1) - 21600x  - 98100x  - 206680x  - 287634x  - 370578x
+--R   -------------------------------------------------------------------------
+--R                                      192
+--R                                                    Type: Expression(Integer)
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                               5         4          3          2
+--R   - 195657log(2x - 1) - 21600x  - 98100x  - 206680x  - 287634x  - 370578x
+--R   -----------------------------------------------------------------------
+--R                                     192
+--R                                         Type: Union(Expression(Integer),...)
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 65219log(2x - 1) + 65219log(- 2x + 1)
+--R   (4)  ---------------------------------------
+--R                           64
+--R                                                    Type: Expression(Integer)
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(2+3*x)*(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R              4       3       2
+--R        - 375x  - 925x  - 855x  - 351x - 54
+--R   (1)  -----------------------------------
+--R                       2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 211
+
+--S 212 of 500
+r0:=-8453/16*x-5645/16*x^2-2225/12*x^3-375/8*x^4-9317/32*log(1-2*x)
+--R 
+--R
+--R                                    4         3         2
+--R        - 27951log(- 2x + 1) - 4500x  - 17800x  - 33870x  - 50718x
+--R   (2)  ----------------------------------------------------------
+--R                                    96
+--R                                                    Type: Expression(Integer)
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                  4         3         2
+--R        - 27951log(2x - 1) - 4500x  - 17800x  - 33870x  - 50718x
+--R   (3)  --------------------------------------------------------
+--R                                   96
+--R                                         Type: Union(Expression(Integer),...)
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 9317log(2x - 1) + 9317log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                          32
+--R                                                    Type: Expression(Integer)
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(3+5*x)^3/(1-2*x)
+--R 
+--R
+--R              3       2
+--R        - 125x  - 225x  - 135x - 27
+--R   (1)  ---------------------------
+--R                   2x - 1
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 216
+
+--S 217 of 500
+r0:=-1115/8*x-575/8*x^2-125/6*x^3-1331/16*log(1-2*x)
+--R 
+--R
+--R                                   3        2
+--R        - 3993log(- 2x + 1) - 1000x  - 3450x  - 6690x
+--R   (2)  ---------------------------------------------
+--R                              48
+--R                                                    Type: Expression(Integer)
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                 3        2
+--R        - 3993log(2x - 1) - 1000x  - 3450x  - 6690x
+--R   (3)  -------------------------------------------
+--R                             48
+--R                                         Type: Union(Expression(Integer),...)
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                          16
+--R                                                    Type: Expression(Integer)
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x))
+--R 
+--R
+--R              3       2
+--R        - 125x  - 225x  - 135x - 27
+--R   (1)  ---------------------------
+--R                  2
+--R                6x  + x - 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 221
+
+--S 222 of 500
+r0:=-1225/36*x-125/12*x^2-1331/56*log(1-2*x)-1/189*log(2+3*x)
+--R 
+--R
+--R                                                    2
+--R        - 8log(3x + 2) - 35937log(- 2x + 1) - 15750x  - 51450x
+--R   (2)  ------------------------------------------------------
+--R                                 1512
+--R                                                    Type: Expression(Integer)
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                                  2
+--R        - 8log(3x + 2) - 35937log(2x - 1) - 15750x  - 51450x
+--R   (3)  ----------------------------------------------------
+--R                                1512
+--R                                         Type: Union(Expression(Integer),...)
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                          56
+--R                                                    Type: Expression(Integer)
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^2)
+--R 
+--R
+--R              3       2
+--R        - 125x  - 225x  - 135x - 27
+--R   (1)  ---------------------------
+--R               3      2
+--R            18x  + 15x  - 4x - 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 226
+
+--S 227 of 500
+r0:=-125/18*x+1/189/(2+3*x)-1331/196*log(1-2*x)+103/1323*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                                                                            2
+--R       (1236x + 824)log(3x + 2) + (- 107811x - 71874)log(- 2x + 1) - 110250x
+--R     + 
+--R       - 73500x + 28
+--R  /
+--R     15876x + 10584
+--R                                                    Type: Expression(Integer)
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                                          2
+--R       (1236x + 824)log(3x + 2) + (- 107811x - 71874)log(2x - 1) - 110250x
+--R     + 
+--R       - 73500x + 28
+--R  /
+--R     15876x + 10584
+--R                                         Type: Union(Expression(Integer),...)
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                         196
+--R                                                    Type: Expression(Integer)
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^3)
+--R 
+--R
+--R               3       2
+--R         - 125x  - 225x  - 135x - 27
+--R   (1)  ----------------------------
+--R           4      3      2
+--R        54x  + 81x  + 18x  - 20x - 8
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=1/378/(2+3*x)^2+(-103/1323)/(2+3*x)-1331/686*log(1-2*x)-_
+     3469/9261*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                2
+--R       (- 62442x  - 83256x - 27752)log(3x + 2)
+--R     + 
+--R                 2
+--R       (- 323433x  - 431244x - 143748)log(- 2x + 1) - 4326x - 2835
+--R  /
+--R            2
+--R     166698x  + 222264x + 74088
+--R                                                    Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                2
+--R       (- 62442x  - 83256x - 27752)log(3x + 2)
+--R     + 
+--R                 2
+--R       (- 323433x  - 431244x - 143748)log(2x - 1) - 4326x - 2835
+--R  /
+--R            2
+--R     166698x  + 222264x + 74088
+--R                                         Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                         686
+--R                                                    Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^4)
+--R 
+--R
+--R                    3       2
+--R              - 125x  - 225x  - 135x - 27
+--R   (1)  ---------------------------------------
+--R            5       4       3      2
+--R        162x  + 351x  + 216x  - 24x  - 64x - 16
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=1/567/(2+3*x)^3+(-103/2646)/(2+3*x)^2+3469/9261/(2+3*x)-_
+     1331/2401*log(1-2*x)+1331/2401*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                3            2
+--R       (5821794x  + 11643588x  + 7762392x + 1724976)log(3x + 2)
+--R     + 
+--R                  3            2                                              2
+--R       (- 5821794x  - 11643588x  - 7762392x - 1724976)log(- 2x + 1) + 1311282x
+--R     + 
+--R       1702953x + 553196
+--R  /
+--R              3            2
+--R     10501974x  + 21003948x  + 14002632x + 3111696
+--R                                                    Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                3            2
+--R       (5821794x  + 11643588x  + 7762392x + 1724976)log(3x + 2)
+--R     + 
+--R                  3            2                                            2
+--R       (- 5821794x  - 11643588x  - 7762392x - 1724976)log(2x - 1) + 1311282x
+--R     + 
+--R       1702953x + 553196
+--R  /
+--R              3            2
+--R     10501974x  + 21003948x  + 14002632x + 3111696
+--R                                         Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                         2401
+--R                                                    Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^5)
+--R 
+--R
+--R                          3       2
+--R                    - 125x  - 225x  - 135x - 27
+--R   (1)  ---------------------------------------------------
+--R            6        5        4       3       2
+--R        486x  + 1377x  + 1350x  + 360x  - 240x  - 176x - 32
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=1/756/(2+3*x)^4+(-103/3969)/(2+3*x)^3+3469/18522/(2+3*x)^2+_
+     (-1331/2401)/(2+3*x)-2662/16807*log(1-2*x)+2662/16807*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                   4             3             2
+--R         (69861528x  + 186297408x  + 186297408x  + 82798848x + 13799808)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     4             3             2
+--R         (- 69861528x  - 186297408x  - 186297408x  - 82798848x - 13799808)
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                  3             2
+--R       - 81505116x  - 153831258x  - 96858804x - 20345549
+--R  /
+--R               4              3              2
+--R     441082908x  + 1176221088x  + 1176221088x  + 522764928x + 87127488
+--R                                                    Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                   4             3             2
+--R         (69861528x  + 186297408x  + 186297408x  + 82798848x + 13799808)
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     4             3             2
+--R         (- 69861528x  - 186297408x  - 186297408x  - 82798848x - 13799808)
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                  3             2
+--R       - 81505116x  - 153831258x  - 96858804x - 20345549
+--R  /
+--R               4              3              2
+--R     441082908x  + 1176221088x  + 1176221088x  + 522764928x + 87127488
+--R                                         Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 2662log(2x - 1) + 2662log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                        16807
+--R                                                    Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^6)
+--R 
+--R
+--R                            3       2
+--R                      - 125x  - 225x  - 135x - 27
+--R   (1)  ------------------------------------------------------
+--R             7        6        5        4        2
+--R        1458x  + 5103x  + 6804x  + 3780x  - 1008x  - 448x - 64
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=1/945/(2+3*x)^5+(-103/5292)/(2+3*x)^4+3469/27783/(2+3*x)^3+_
+     (-1331/4802)/(2+3*x)^2+(-2662/16807)/(2+3*x)-_
+     5324/117649*log(1-2*x)+5324/117649*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                      5              4              3              2
+--R           2095845840x  + 6986152800x  + 9314870400x  + 6209913600x
+--R         + 
+--R           2069971200x + 275996160
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                        5              4              3              2
+--R           - 2095845840x  - 6986152800x  - 9314870400x  - 6209913600x
+--R         + 
+--R           - 2069971200x - 275996160
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                    4              3              2
+--R       - 2445153480x  - 7946748810x  - 9158912280x  - 4525306275x - 817640446
+--R  /
+--R                   5                4                3                2
+--R       46313705340x  + 154379017800x  + 205838690400x  + 137225793600x
+--R     + 
+--R       45741931200x + 6098924160
+--R                                                    Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                      5              4              3              2
+--R           2095845840x  + 6986152800x  + 9314870400x  + 6209913600x
+--R         + 
+--R           2069971200x + 275996160
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                        5              4              3              2
+--R           - 2095845840x  - 6986152800x  - 9314870400x  - 6209913600x
+--R         + 
+--R           - 2069971200x - 275996160
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                    4              3              2
+--R       - 2445153480x  - 7946748810x  - 9158912280x  - 4525306275x - 817640446
+--R  /
+--R                   5                4                3                2
+--R       46313705340x  + 154379017800x  + 205838690400x  + 137225793600x
+--R     + 
+--R       45741931200x + 6098924160
+--R                                         Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 5324log(2x - 1) + 5324log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                        117649
+--R                                                    Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^7)
+--R 
+--R
+--R   (1)
+--R                                  3       2
+--R                            - 125x  - 225x  - 135x - 27
+--R   -----------------------------------------------------------------------------
+--R        8         7         6         5        4        3        2
+--R   4374x  + 18225x  + 30618x  + 24948x  + 7560x  - 3024x  - 3360x  - 1088x - 128
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=1/1134/(2+3*x)^6+(-103/6615)/(2+3*x)^5+3469/37044/(2+3*x)^4+_
+     (-1331/7203)/(2+3*x)^3+(-1331/16807)/(2+3*x)^2+_
+     (-5324/117649)/(2+3*x)-10648/823543*log(1-2*x)+10648/823543*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                       6               5               4               3
+--R           12575075040x  + 50300300160x  + 83833833600x  + 74518963200x
+--R         + 
+--R                       2
+--R           37259481600x  + 9935861760x + 1103984640
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                         6               5               4               3
+--R           - 12575075040x  - 50300300160x  - 83833833600x  - 74518963200x
+--R         + 
+--R                         2
+--R           - 37259481600x  - 9935861760x - 1103984640
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                     5               4               3               2
+--R       - 14670920880x  - 57461106780x  - 94681776420x  - 78478905645x
+--R     + 
+--R       - 32070746736x - 5135298434
+--R  /
+--R                    6                 5                 4                 3
+--R       972587812140x  + 3890351248560x  + 6483918747600x  + 5763483331200x
+--R     + 
+--R                     2
+--R       2881741665600x  + 768464444160x + 85384938240
+--R                                                    Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       6               5               4               3
+--R           12575075040x  + 50300300160x  + 83833833600x  + 74518963200x
+--R         + 
+--R                       2
+--R           37259481600x  + 9935861760x + 1103984640
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                         6               5               4               3
+--R           - 12575075040x  - 50300300160x  - 83833833600x  - 74518963200x
+--R         + 
+--R                         2
+--R           - 37259481600x  - 9935861760x - 1103984640
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                     5               4               3               2
+--R       - 14670920880x  - 57461106780x  - 94681776420x  - 78478905645x
+--R     + 
+--R       - 32070746736x - 5135298434
+--R  /
+--R                    6                 5                 4                 3
+--R       972587812140x  + 3890351248560x  + 6483918747600x  + 5763483331200x
+--R     + 
+--R                     2
+--R       2881741665600x  + 768464444160x + 85384938240
+--R                                         Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 10648log(2x - 1) + 10648log(- 2x + 1)
+--R   (4)  ---------------------------------------
+--R                         823543
+--R                                                    Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^8)
+--R 
+--R
+--R   (1)
+--R           3       2
+--R     - 125x  - 225x  - 135x - 27
+--R  /
+--R             9         8          7          6         5        4         3
+--R       13122x  + 63423x  + 128304x  + 136080x  + 72576x  + 6048x  - 16128x
+--R     + 
+--R              2
+--R       - 9984x  - 2560x - 256
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=1/1323/(2+3*x)^7+(-103/7938)/(2+3*x)^6+3469/46305/(2+3*x)^5+_
+     (-1331/9604)/(2+3*x)^4+(-2662/50421)/(2+3*x)^3+(-2662/117649)/(2+3*x)^2+_
+     (-10648/823543)/(2+3*x)-21296/5764801*log(1-2*x)+21296/5764801*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                       7                6                5                4
+--R           75450450240x  + 352102101120x  + 704204202240x  + 782449113600x
+--R         + 
+--R                        3                2
+--R           521632742400x  + 208653096960x  + 46367354880x + 4415938560
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                         7                6                5                4
+--R           - 75450450240x  - 352102101120x  - 704204202240x  - 782449113600x
+--R         + 
+--R                          3                2
+--R           - 521632742400x  - 208653096960x  - 46367354880x - 4415938560
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                     6                5                4                3
+--R       - 88025525280x  - 403450324200x  - 797935085640x  - 891292403925x
+--R     + 
+--R                      2
+--R       - 583053133446x  - 206160259998x - 30169587896
+--R  /
+--R                      7                  6                   5
+--R       20424344054940x  + 95313605589720x  + 190627211179440x
+--R     + 
+--R                       4                   3                  2
+--R       211808012421600x  + 141205341614400x  + 56482136645760x
+--R     + 
+--R       12551585921280x + 1195389135360
+--R                                                    Type: Expression(Integer)
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       7                6                5                4
+--R           75450450240x  + 352102101120x  + 704204202240x  + 782449113600x
+--R         + 
+--R                        3                2
+--R           521632742400x  + 208653096960x  + 46367354880x + 4415938560
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                         7                6                5                4
+--R           - 75450450240x  - 352102101120x  - 704204202240x  - 782449113600x
+--R         + 
+--R                          3                2
+--R           - 521632742400x  - 208653096960x  - 46367354880x - 4415938560
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                     6                5                4                3
+--R       - 88025525280x  - 403450324200x  - 797935085640x  - 891292403925x
+--R     + 
+--R                      2
+--R       - 583053133446x  - 206160259998x - 30169587896
+--R  /
+--R                      7                  6                   5
+--R       20424344054940x  + 95313605589720x  + 190627211179440x
+--R     + 
+--R                       4                   3                  2
+--R       211808012421600x  + 141205341614400x  + 56482136645760x
+--R     + 
+--R       12551585921280x + 1195389135360
+--R                                         Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 21296log(2x - 1) + 21296log(- 2x + 1)
+--R   (4)  ---------------------------------------
+--R                        5764801
+--R                                                    Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(a+b*x)^3/((c+d*x)*(e+f*x))
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R              2
+--R         d f x  + (c f + d e)x + c e
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=-b^2*(b*d*e+b*c*f-3*a*d*f)*x/(d^2*f^2)+1/2*b^3*x^2/(d*f)-_
+     (b*c-a*d)^3*log(c+d*x)/(d^3*(d*e-c*f))+_
+     (b*e-a*f)^3*log(e+f*x)/(f^3*(d*e-c*f))
+--R 
+--R
+--R   (2)
+--R          3 3 3     2   3   2       2 3 2      3 3 3
+--R       (2a d f  - 6a b d e f  + 6a b d e f - 2b d e )log(f x + e)
+--R     + 
+--R            3 3     2     2       2 2      3 3  3
+--R       (- 2a d  + 6a b c d  - 6a b c d + 2b c )f log(d x + c)
+--R     + 
+--R         3   2 3    3 3   2  2
+--R       (b c d f  - b d e f )x
+--R     + 
+--R             2   2     3 2   3       2 3   2     3 3 2
+--R       ((6a b c d  - 2b c d)f  - 6a b d e f  + 2b d e f)x
+--R  /
+--R         3 4     4   3
+--R     2c d f  - 2d e f
+--R                                                    Type: Expression(Integer)
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R          3 3 3     2   3   2       2 3 2      3 3 3
+--R       (2a d f  - 6a b d e f  + 6a b d e f - 2b d e )log(f x + e)
+--R     + 
+--R            3 3     2     2       2 2      3 3  3
+--R       (- 2a d  + 6a b c d  - 6a b c d + 2b c )f log(d x + c)
+--R     + 
+--R         3   2 3    3 3   2  2
+--R       (b c d f  - b d e f )x
+--R     + 
+--R             2   2     3 2   3       2 3   2     3 3 2
+--R       ((6a b c d  - 2b c d)f  - 6a b d e f  + 2b d e f)x
+--R  /
+--R         3 4     4   3
+--R     2c d f  - 2d e f
+--R                                         Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(2+3*x)^m/((1-2*x)*(3+5*x))
+--R 
+--R
+--R                    m
+--R            (3x + 2)
+--R   (1)  - ------------
+--R             2
+--R          10x  + x - 3
+--R                                                    Type: Expression(Integer)
+--E 266
+
+--S 267 of 500
+--r0:=2/77*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)-5/11*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 267
+
+--S 268 of 500
+--a0:=integrate(t0,x)
+--E 268
+
+--S 269 of 500
+--m0:=a0-r0
+--E 269
+
+--S 270 of 500
+--d0:=D(m0,x)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(2+3*x)^8/((1-2*x)*(3+5*x))
+--R 
+--R
+--R   (1)
+--R              8         7         6          5         4         3         2
+--R       - 6561x  - 34992x  - 81648x  - 108864x  - 90720x  - 48384x  - 16128x
+--R     + 
+--R       - 3072x - 256
+--R  /
+--R        2
+--R     10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 271
+
+--S 272 of 500
+r0:=-40089855591/10000000*x-7136193339/2000000*x^2-345533877/100000*x^3-_
+     111146499/40000*x^4-8018271/5000*x^5-114453/200*x^6-6561/70*x^7-_
+     5764801/2816*log(1-2*x)+1/4296875*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                                    7
+--R       1792log(5x + 3) - 15763127734375log(- 2x + 1) - 721710000000x
+--R     + 
+--R                       6                  5                  4
+--R       - 4406440500000x  - 12348137340000x  - 21395701057500x
+--R     + 
+--R                        3                  2
+--R       - 26606108529000x  - 27474344355150x  - 30869188805070x
+--R  /
+--R     7700000000
+--R                                                    Type: Expression(Integer)
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                                  7
+--R       1792log(5x + 3) - 15763127734375log(2x - 1) - 721710000000x
+--R     + 
+--R                       6                  5                  4
+--R       - 4406440500000x  - 12348137340000x  - 21395701057500x
+--R     + 
+--R                        3                  2
+--R       - 26606108529000x  - 27474344355150x  - 30869188805070x
+--R  /
+--R     7700000000
+--R                                         Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 5764801log(2x - 1) + 5764801log(- 2x + 1)
+--R   (4)  -------------------------------------------
+--R                            2816
+--R                                                    Type: Expression(Integer)
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(2+3*x)^7/((1-2*x)*(3+5*x))
+--R 
+--R
+--R   (1)
+--R          7         6         5         4         3        2
+--R   - 2187x  - 10206x  - 20412x  - 22680x  - 15120x  - 6048x  - 1344x - 128
+--R   -----------------------------------------------------------------------
+--R                                    2
+--R                                 10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 276
+
+--S 277 of 500
+r0:=-1127138733/1000000*x-187738857/200000*x^2-7889751/10000*x^3-_
+     2006937/4000*x^4-99873/500*x^5-729/20*x^6-823543/1408*log(1-2*x)+_
+     1/859375*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                              6               5
+--R       128log(5x + 3) - 64339296875log(- 2x + 1) - 4009500000x  - 21972060000x
+--R     + 
+--R                     4               3                2
+--R       - 55190767500x  - 86787261000x  - 103256371350x  - 123985260630x
+--R  /
+--R     110000000
+--R                                                    Type: Expression(Integer)
+--E 277
+
+--S 278 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                            6               5
+--R       128log(5x + 3) - 64339296875log(2x - 1) - 4009500000x  - 21972060000x
+--R     + 
+--R                     4               3                2
+--R       - 55190767500x  - 86787261000x  - 103256371350x  - 123985260630x
+--R  /
+--R     110000000
+--R                                         Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 823543log(2x - 1) + 823543log(- 2x + 1)
+--R   (4)  -----------------------------------------
+--R                           1408
+--R                                                    Type: Expression(Integer)
+--E 279
+
+--S 280 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(2+3*x)^6/((1-2*x)*(3+5*x))
+--R 
+--R
+--R              6        5        4        3        2
+--R        - 729x  - 2916x  - 4860x  - 4320x  - 2160x  - 576x - 64
+--R   (1)  -------------------------------------------------------
+--R                                 2
+--R                              10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=-31289679/100000*x-4693491/20000*x^2-159813/1000*x^3-_
+     28431/400*x^4-729/50*x^5-117649/704*log(1-2*x)+1/171875*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                           5             4
+--R       64log(5x + 3) - 1838265625log(- 2x + 1) - 160380000x  - 781852500x
+--R     + 
+--R                    3              2
+--R       - 1757943000x  - 2581420050x  - 3441864690x
+--R  /
+--R     11000000
+--R                                                    Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                         5             4
+--R       64log(5x + 3) - 1838265625log(2x - 1) - 160380000x  - 781852500x
+--R     + 
+--R                    3              2
+--R       - 1757943000x  - 2581420050x  - 3441864690x
+--R  /
+--R     11000000
+--R                                         Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 117649log(2x - 1) + 117649log(- 2x + 1)
+--R   (4)  -----------------------------------------
+--R                           704
+--R                                                    Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(2+3*x)^5/((1-2*x)*(3+5*x))
+--R 
+--R
+--R              5       4        3       2
+--R        - 243x  - 810x  - 1080x  - 720x  - 240x - 32
+--R   (1)  --------------------------------------------
+--R                           2
+--R                        10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=-848277/10000*x-107433/2000*x^2-2619/100*x^3-243/40*x^4-_
+     16807/352*log(1-2*x)+1/34375*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                       4            3
+--R       32log(5x + 3) - 52521875log(- 2x + 1) - 6682500x  - 28809000x
+--R     + 
+--R                  2
+--R       - 59088150x  - 93310470x
+--R  /
+--R     1100000
+--R                                                    Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                     4            3            2
+--R       32log(5x + 3) - 52521875log(2x - 1) - 6682500x  - 28809000x  - 59088150x
+--R     + 
+--R       - 93310470x
+--R  /
+--R     1100000
+--R                                         Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 16807log(2x - 1) + 16807log(- 2x + 1)
+--R   (4)  ---------------------------------------
+--R                          352
+--R                                                    Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(2+3*x)^4/((1-2*x)*(3+5*x))
+--R 
+--R
+--R             4       3       2
+--R        - 81x  - 216x  - 216x  - 96x - 16
+--R   (1)  ---------------------------------
+--R                      2
+--R                   10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=-21951/1000*x-2079/200*x^2-27/10*x^3-2401/176*log(1-2*x)+1/6875*log(3+5*x)
+--R 
+--R
+--R                                                      3           2
+--R        16log(5x + 3) - 1500625log(- 2x + 1) - 297000x  - 1143450x  - 2414610x
+--R   (2)  ----------------------------------------------------------------------
+--R                                        110000
+--R                                                    Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                                    3           2
+--R        16log(5x + 3) - 1500625log(2x - 1) - 297000x  - 1143450x  - 2414610x
+--R   (3)  --------------------------------------------------------------------
+--R                                       110000
+--R                                         Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 2401log(2x - 1) + 2401log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                         176
+--R                                                    Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(2+3*x)^3/((1-2*x)*(3+5*x))
+--R 
+--R
+--R             3      2
+--R        - 27x  - 54x  - 36x - 8
+--R   (1)  -----------------------
+--R                 2
+--R              10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=-513/100*x-27/20*x^2-343/88*log(1-2*x)+1/1375*log(3+5*x)
+--R 
+--R
+--R                                                  2
+--R        8log(5x + 3) - 42875log(- 2x + 1) - 14850x  - 56430x
+--R   (2)  ----------------------------------------------------
+--R                                11000
+--R                                                    Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R                                                2
+--R        8log(5x + 3) - 42875log(2x - 1) - 14850x  - 56430x
+--R   (3)  --------------------------------------------------
+--R                               11000
+--R                                         Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 343log(2x - 1) + 343log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                         88
+--R                                                    Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(2+3*x)^2/((1-2*x)*(3+5*x))
+--R 
+--R
+--R            2
+--R        - 9x  - 12x - 4
+--R   (1)  ---------------
+--R             2
+--R          10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=-9/10*x-49/44*log(1-2*x)+1/275*log(3+5*x)
+--R 
+--R
+--R        4log(5x + 3) - 1225log(- 2x + 1) - 990x
+--R   (2)  ---------------------------------------
+--R                          1100
+--R                                                    Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        4log(5x + 3) - 1225log(2x - 1) - 990x
+--R   (3)  -------------------------------------
+--R                         1100
+--R                                         Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 49log(2x - 1) + 49log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                        44
+--R                                                    Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(2+3*x)/((1-2*x)*(3+5*x))
+--R 
+--R
+--R          - 3x - 2
+--R   (1)  ------------
+--R           2
+--R        10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=-7/22*log(1-2*x)+1/55*log(3+5*x)
+--R 
+--R
+--R        2log(5x + 3) - 35log(- 2x + 1)
+--R   (2)  ------------------------------
+--R                      110
+--R                                                    Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        2log(5x + 3) - 35log(2x - 1)
+--R   (3)  ----------------------------
+--R                     110
+--R                                         Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 7log(2x - 1) + 7log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                       22
+--R                                                    Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=1/((1-2*x)*(3+5*x))
+--R 
+--R
+--R                1
+--R   (1)  - ------------
+--R             2
+--R          10x  + x - 3
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=-1/11*log(1-2*x)+1/11*log(3+5*x)
+--R 
+--R
+--R        log(5x + 3) - log(- 2x + 1)
+--R   (2)  ---------------------------
+--R                     11
+--R                                                    Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        log(5x + 3) - log(2x - 1)
+--R   (3)  -------------------------
+--R                    11
+--R                                         Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - log(2x - 1) + log(- 2x + 1)
+--R   (4)  -----------------------------
+--R                      11
+--R                                                    Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=1/((1-2*x)*(2+3*x)*(3+5*x))
+--R 
+--R
+--R                    1
+--R   (1)  - --------------------
+--R             3      2
+--R          30x  + 23x  - 7x - 6
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=-2/77*log(1-2*x)-3/7*log(2+3*x)+5/11*log(3+5*x)
+--R 
+--R
+--R        35log(5x + 3) - 33log(3x + 2) - 2log(- 2x + 1)
+--R   (2)  ----------------------------------------------
+--R                              77
+--R                                                    Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        35log(5x + 3) - 33log(3x + 2) - 2log(2x - 1)
+--R   (3)  --------------------------------------------
+--R                             77
+--R                                         Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 2log(2x - 1) + 2log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                       77
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=1/((1-2*x)*(2+3*x)^2*(3+5*x))
+--R 
+--R
+--R                         1
+--R   (1)  - ------------------------------
+--R             4       3      2
+--R          90x  + 129x  + 25x  - 32x - 12
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=3/7/(2+3*x)-4/539*log(1-2*x)-111/49*log(2+3*x)+25/11*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R       (3675x + 2450)log(5x + 3) + (- 3663x - 2442)log(3x + 2)
+--R     + 
+--R       (- 12x - 8)log(- 2x + 1) + 231
+--R  /
+--R     1617x + 1078
+--R                                                    Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       (3675x + 2450)log(5x + 3) + (- 3663x - 2442)log(3x + 2)
+--R     + 
+--R       (- 12x - 8)log(2x - 1) + 231
+--R  /
+--R     1617x + 1078
+--R                                         Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 4log(2x - 1) + 4log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                      539
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=1/((1-2*x)*(2+3*x)^3*(3+5*x))
+--R 
+--R
+--R                              1
+--R   (1)  - ----------------------------------------
+--R              5       4       3      2
+--R          270x  + 567x  + 333x  - 46x  - 100x - 24
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=3/14/(2+3*x)^2+111/49/(2+3*x)-8/3773*log(1-2*x)-3897/343*log(2+3*x)+_
+     125/11*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R               2
+--R       (771750x  + 1029000x + 343000)log(5x + 3)
+--R     + 
+--R                 2
+--R       (- 771606x  - 1028808x - 342936)log(3x + 2)
+--R     + 
+--R              2
+--R       (- 144x  - 192x - 64)log(- 2x + 1) + 51282x + 35805
+--R  /
+--R           2
+--R     67914x  + 90552x + 30184
+--R                                                    Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R               2
+--R       (771750x  + 1029000x + 343000)log(5x + 3)
+--R     + 
+--R                 2
+--R       (- 771606x  - 1028808x - 342936)log(3x + 2)
+--R     + 
+--R              2
+--R       (- 144x  - 192x - 64)log(2x - 1) + 51282x + 35805
+--R  /
+--R           2
+--R     67914x  + 90552x + 30184
+--R                                         Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 8log(2x - 1) + 8log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                      3773
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=1/((1-2*x)*(2+3*x)^4*(3+5*x))
+--R 
+--R
+--R                                   1
+--R   (1)  - ---------------------------------------------------
+--R              6        5        4       3       2
+--R          810x  + 2241x  + 2133x  + 528x  - 392x  - 272x - 48
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=1/7/(2+3*x)^3+111/98/(2+3*x)^2+3897/343/(2+3*x)-16/26411*log(1-2*x)-_
+     136419/2401*log(2+3*x)+625/11*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 3             2
+--R       (81033750x  + 162067500x  + 108045000x + 24010000)log(5x + 3)
+--R     + 
+--R                   3             2
+--R       (- 81032886x  - 162065772x  - 108043848x - 24009744)log(3x + 2)
+--R     + 
+--R              3        2                                       2
+--R       (- 864x  - 1728x  - 1152x - 256)log(- 2x + 1) + 5401242x  + 7381143x
+--R     + 
+--R       2527756
+--R  /
+--R             3           2
+--R     1426194x  + 2852388x  + 1901592x + 422576
+--R                                                    Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 3             2
+--R       (81033750x  + 162067500x  + 108045000x + 24010000)log(5x + 3)
+--R     + 
+--R                   3             2
+--R       (- 81032886x  - 162065772x  - 108043848x - 24009744)log(3x + 2)
+--R     + 
+--R              3        2                                     2
+--R       (- 864x  - 1728x  - 1152x - 256)log(2x - 1) + 5401242x  + 7381143x
+--R     + 
+--R       2527756
+--R  /
+--R             3           2
+--R     1426194x  + 2852388x  + 1901592x + 422576
+--R                                         Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 16log(2x - 1) + 16log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                      26411
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=1/((1-2*x)*(2+3*x)^5*(3+5*x))
+--R 
+--R
+--R                                         1
+--R   (1)  - ---------------------------------------------------------------
+--R               7        6         5        4       3        2
+--R          2430x  + 8343x  + 10881x  + 5850x  - 120x  - 1600x  - 688x - 96
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=3/28/(2+3*x)^4+37/49/(2+3*x)^3+3897/686/(2+3*x)^2+136419/2401/(2+3*x)-_
+     32/184877*log(1-2*x)-4774713/16807*log(2+3*x)+3125/11*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                       4               3               2
+--R           17017087500x  + 45378900000x  + 45378900000x  + 20168400000x
+--R         + 
+--R           3361400000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         4               3               2
+--R           - 17017077132x  - 45378872352x  - 45378872352x  - 20168387712x
+--R         + 
+--R           - 3361397952
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4         3         2
+--R       (- 10368x  - 27648x  - 27648x  - 12288x - 2048)log(- 2x + 1)
+--R     + 
+--R                  3              2
+--R       1134460404x  + 2306729502x  + 1564700676x + 354136321
+--R  /
+--R              4             3             2
+--R     59900148x  + 159733728x  + 159733728x  + 70992768x + 11832128
+--R                                                    Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                       4               3               2
+--R           17017087500x  + 45378900000x  + 45378900000x  + 20168400000x
+--R         + 
+--R           3361400000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                         4               3               2
+--R           - 17017077132x  - 45378872352x  - 45378872352x  - 20168387712x
+--R         + 
+--R           - 3361397952
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                4         3         2                                          3
+--R       (- 10368x  - 27648x  - 27648x  - 12288x - 2048)log(2x - 1) + 1134460404x
+--R     + 
+--R                  2
+--R       2306729502x  + 1564700676x + 354136321
+--R  /
+--R              4             3             2
+--R     59900148x  + 159733728x  + 159733728x  + 70992768x + 11832128
+--R                                         Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 32log(2x - 1) + 32log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                      184877
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=1/((1-2*x)*(2+3*x)^6*(3+5*x))
+--R 
+--R
+--R   (1)
+--R   -
+--R        1
+--R     /
+--R               8         7         6         5         4        3        2
+--R          7290x  + 29889x  + 49329x  + 39312x  + 11340x  - 5040x  - 5264x
+--R        + 
+--R          - 1664x - 192
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=3/35/(2+3*x)^5+111/196/(2+3*x)^4+1299/343/(2+3*x)^3+_
+     136419/4802/(2+3*x)^2+4774713/16807/(2+3*x)-64/1294139*log(1-2*x)-_
+     167115051/117649*log(2+3*x)+15625/11*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         5                  4                  3
+--R           8933970937500x  + 29779903125000x  + 39706537500000x
+--R         + 
+--R                          2
+--R           26471025000000x  + 8823675000000x + 1176490000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           5                  4                  3
+--R           - 8933970626460x  - 29779902088200x  - 39706536117600x
+--R         + 
+--R                            2
+--R           - 26471024078400x  - 8823674692800x - 1176489959040
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5           4           3          2
+--R         (- 311040x  - 1036800x  - 1382400x  - 921600x  - 307200x - 40960)
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                    4                 3                 2
+--R       595597699620x  + 1608113589390x  + 1628848849320x  + 733584557475x
+--R     + 
+--R       123954940494
+--R  /
+--R                  5               4               3               2
+--R       6289515540x  + 20965051800x  + 27953402400x  + 18635601600x
+--R     + 
+--R       6211867200x + 828248960
+--R                                                    Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         5                  4                  3
+--R           8933970937500x  + 29779903125000x  + 39706537500000x
+--R         + 
+--R                          2
+--R           26471025000000x  + 8823675000000x + 1176490000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                           5                  4                  3
+--R           - 8933970626460x  - 29779902088200x  - 39706536117600x
+--R         + 
+--R                            2
+--R           - 26471024078400x  - 8823674692800x - 1176489959040
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5           4           3          2
+--R         (- 311040x  - 1036800x  - 1382400x  - 921600x  - 307200x - 40960)
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                    4                 3                 2
+--R       595597699620x  + 1608113589390x  + 1628848849320x  + 733584557475x
+--R     + 
+--R       123954940494
+--R  /
+--R                  5               4               3               2
+--R       6289515540x  + 20965051800x  + 27953402400x  + 18635601600x
+--R     + 
+--R       6211867200x + 828248960
+--R                                         Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 64log(2x - 1) + 64log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                     1294139
+--R                                                    Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=1/((1-2*x)*(2+3*x)^7*(3+5*x))
+--R 
+--R
+--R   (1)
+--R   -
+--R        1
+--R     /
+--R                9          8          7          6          5        4         3
+--R          21870x  + 104247x  + 207765x  + 216594x  + 112644x  + 7560x  - 25872x
+--R        + 
+--R                  2
+--R          - 15520x  - 3904x - 384
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=1/14/(2+3*x)^6+111/245/(2+3*x)^5+3897/1372/(2+3*x)^4+_
+     45473/2401/(2+3*x)^3+4774713/33614/(2+3*x)^2+_
+     167115051/117649/(2+3*x)-128/9058973*log(1-2*x)-_
+     5849026977/823543*log(2+3*x)+78125/11*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                           6                    5                    4
+--R           938066948437500x  + 3752267793750000x  + 6253779656250000x
+--R         + 
+--R                            3                    2
+--R           5558915250000000x  + 2779457625000000x  + 741188700000000x
+--R         + 
+--R           82354300000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                             6                    5                    4
+--R           - 938066946571260x  - 3752267786285040x  - 6253779643808400x
+--R         + 
+--R                              3                    2
+--R           - 5558915238940800x  - 2779457619470400x  - 741188698525440x
+--R         + 
+--R           - 82354299836160
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     6           5            4            3           2
+--R           - 1866240x  - 7464960x  - 12441600x  - 11059200x  - 5529600x
+--R         + 
+--R           - 1474560x - 163840
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                      5                   4                   3
+--R       62537794385220x  + 210543906566070x  + 283597312285980x
+--R     + 
+--R                       2
+--R       191046007176255x  + 64366302153384x + 8676887688546
+--R  /
+--R                    6                5                4                3
+--R       132079826340x  + 528319305360x  + 880532175600x  + 782695267200x
+--R     + 
+--R                    2
+--R       391347633600x  + 104359368960x + 11595485440
+--R                                                    Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                           6                    5                    4
+--R           938066948437500x  + 3752267793750000x  + 6253779656250000x
+--R         + 
+--R                            3                    2
+--R           5558915250000000x  + 2779457625000000x  + 741188700000000x
+--R         + 
+--R           82354300000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                             6                    5                    4
+--R           - 938066946571260x  - 3752267786285040x  - 6253779643808400x
+--R         + 
+--R                              3                    2
+--R           - 5558915238940800x  - 2779457619470400x  - 741188698525440x
+--R         + 
+--R           - 82354299836160
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                     6           5            4            3           2
+--R           - 1866240x  - 7464960x  - 12441600x  - 11059200x  - 5529600x
+--R         + 
+--R           - 1474560x - 163840
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                      5                   4                   3
+--R       62537794385220x  + 210543906566070x  + 283597312285980x
+--R     + 
+--R                       2
+--R       191046007176255x  + 64366302153384x + 8676887688546
+--R  /
+--R                    6                5                4                3
+--R       132079826340x  + 528319305360x  + 880532175600x  + 782695267200x
+--R     + 
+--R                    2
+--R       391347633600x  + 104359368960x + 11595485440
+--R                                         Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 128log(2x - 1) + 128log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                      9058973
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(2+3*x)^m/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R                        m
+--R                (3x + 2)
+--R   (1)  - ---------------------
+--R             3      2
+--R          50x  + 35x  - 12x - 9
+--R                                                    Type: Expression(Integer)
+--E 351
+
+--S 352 of 500
+--r0:=-5/11*(2+3*x)^(1+m)/(3+5*x)+4/847*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)-10/121*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)-15/11*m*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 352
+
+--S 353 of 500
+--a0:=integrate(t0,x)
+--E 353
+
+--S 354 of 500
+--m0:=a0-r0
+--E 354
+
+--S 355 of 500
+--d0:=D(m0,x)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(2+3*x)^8/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R              8         7         6          5         4         3         2
+--R       - 6561x  - 34992x  - 81648x  - 108864x  - 90720x  - 48384x  - 16128x
+--R     + 
+--R       - 3072x - 256
+--R  /
+--R        3      2
+--R     50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=-3579885909/5000000*x-118543581/200000*x^2-24660207/50000*x^3-_
+     6194313/20000*x^4-303993/2500*x^5-2187/100*x^6+(-1/4296875)/(3+5*x)-_
+     5764801/15488*log(1-2*x)+266/47265625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R       (170240x + 102144)log(5x + 3)
+--R     + 
+--R                                                                       7
+--R       (- 11259376953125x - 6755626171875)log(- 2x + 1) - 661567500000x
+--R     + 
+--R                       6                  5                  4
+--R       - 4075255800000x  - 11575887592500x  - 20540764282500x
+--R     + 
+--R                        3                  2
+--R       - 26881371767250x  - 32416139725200x  - 12994985849670x - 1408
+--R  /
+--R     30250000000x + 18150000000
+--R                                                    Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       (170240x + 102144)log(5x + 3)
+--R     + 
+--R                                                                     7
+--R       (- 11259376953125x - 6755626171875)log(2x - 1) - 661567500000x
+--R     + 
+--R                       6                  5                  4
+--R       - 4075255800000x  - 11575887592500x  - 20540764282500x
+--R     + 
+--R                        3                  2
+--R       - 26881371767250x  - 32416139725200x  - 12994985849670x - 1408
+--R  /
+--R     30250000000x + 18150000000
+--R                                         Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 5764801log(2x - 1) + 5764801log(- 2x + 1)
+--R   (4)  -------------------------------------------
+--R                           15488
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(2+3*x)^7/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R          7         6         5         4         3        2
+--R   - 2187x  - 10206x  - 20412x  - 22680x  - 15120x  - 6048x  - 1344x - 128
+--R   -----------------------------------------------------------------------
+--R                               3      2
+--R                            50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=-19846971/100000*x-14750667/100000*x^2-495477/5000*x^3-86751/2000*x^4-_
+     2187/250*x^5+(-1/859375)/(3+5*x)-823543/7744*log(1-2*x)+_
+     233/9453125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R       (74560x + 44736)log(5x + 3)
+--R     + 
+--R                                                                   6
+--R       (- 321696484375x - 193017890625)log(- 2x + 1) - 26462700000x
+--R     + 
+--R                      5                4                3                2
+--R       - 147088507500x  - 378490117500x  - 626065827750x  - 868095478800x
+--R     + 
+--R       - 360222523650x - 704
+--R  /
+--R     3025000000x + 1815000000
+--R                                                    Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       (74560x + 44736)log(5x + 3) + (- 321696484375x - 193017890625)log(2x - 1)
+--R     + 
+--R                     6                5                4                3
+--R       - 26462700000x  - 147088507500x  - 378490117500x  - 626065827750x
+--R     + 
+--R                      2
+--R       - 868095478800x  - 360222523650x - 704
+--R  /
+--R     3025000000x + 1815000000
+--R                                         Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 823543log(2x - 1) + 823543log(- 2x + 1)
+--R   (4)  -----------------------------------------
+--R                           7744
+--R                                                    Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(2+3*x)^6/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R              6        5        4        3        2
+--R        - 729x  - 2916x  - 4860x  - 4320x  - 2160x  - 576x - 64
+--R   (1)  -------------------------------------------------------
+--R                            3      2
+--R                         50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=-2682909/50000*x-335097/10000*x^2-8019/500*x^3-729/200*x^4+_
+     (-1/171875)/(3+5*x)-117649/3872*log(1-2*x)+8/75625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R       (32000x + 19200)log(5x + 3) + (- 9191328125x - 5514796875)log(- 2x + 1)
+--R     + 
+--R                    5              4               3               2
+--R       - 1102612500x  - 5513062500x  - 13047581250x  - 22313610000x
+--R     + 
+--R       - 9738959670x - 352
+--R  /
+--R     302500000x + 181500000
+--R                                                    Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       (32000x + 19200)log(5x + 3) + (- 9191328125x - 5514796875)log(2x - 1)
+--R     + 
+--R                    5              4               3               2
+--R       - 1102612500x  - 5513062500x  - 13047581250x  - 22313610000x
+--R     + 
+--R       - 9738959670x - 352
+--R  /
+--R     302500000x + 181500000
+--R                                         Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 117649log(2x - 1) + 117649log(- 2x + 1)
+--R   (4)  -----------------------------------------
+--R                           3872
+--R                                                    Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(2+3*x)^5/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R              5       4        3       2
+--R        - 243x  - 810x  - 1080x  - 720x  - 240x - 32
+--R   (1)  --------------------------------------------
+--R                       3      2
+--R                    50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=-69039/5000*x-6399/1000*x^2-81/50*x^3+(-1/34375)/(3+5*x)-_
+     16807/1936*log(1-2*x)+167/378125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R       (13360x + 8016)log(5x + 3) + (- 262609375x - 157565625)log(- 2x + 1)
+--R     + 
+--R                  4             3             2
+--R       - 49005000x  - 222972750x  - 533827800x  - 250611570x - 176
+--R  /
+--R     30250000x + 18150000
+--R                                                    Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       (13360x + 8016)log(5x + 3) + (- 262609375x - 157565625)log(2x - 1)
+--R     + 
+--R                  4             3             2
+--R       - 49005000x  - 222972750x  - 533827800x  - 250611570x - 176
+--R  /
+--R     30250000x + 18150000
+--R                                         Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 16807log(2x - 1) + 16807log(- 2x + 1)
+--R   (4)  ---------------------------------------
+--R                          1936
+--R                                                    Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(2+3*x)^4/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R             4       3       2
+--R        - 81x  - 216x  - 216x  - 96x - 16
+--R   (1)  ---------------------------------
+--R                 3      2
+--R              50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=-1593/500*x-81/100*x^2+(-1/6875)/(3+5*x)-2401/968*log(1-2*x)+_
+     134/75625*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R       (5360x + 3216)log(5x + 3) + (- 7503125x - 4501875)log(- 2x + 1)
+--R     + 
+--R                 3            2
+--R       - 2450250x  - 11107800x  - 5782590x - 88
+--R  /
+--R     3025000x + 1815000
+--R                                                    Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                                               3
+--R       (5360x + 3216)log(5x + 3) + (- 7503125x - 4501875)log(2x - 1) - 2450250x
+--R     + 
+--R                  2
+--R       - 11107800x  - 5782590x - 88
+--R  /
+--R     3025000x + 1815000
+--R                                         Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 2401log(2x - 1) + 2401log(- 2x + 1)
+--R   (4)  -------------------------------------
+--R                         968
+--R                                                    Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(2+3*x)^3/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R             3      2
+--R        - 27x  - 54x  - 36x - 8
+--R   (1)  -----------------------
+--R            3      2
+--R         50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=-27/50*x+(-1/1375)/(3+5*x)-343/484*log(1-2*x)+101/15125*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                                                                              2
+--R       (2020x + 1212)log(5x + 3) + (- 214375x - 128625)log(- 2x + 1) - 163350x
+--R     + 
+--R       - 98010x - 44
+--R  /
+--R     302500x + 181500
+--R                                                    Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                                                                            2
+--R       (2020x + 1212)log(5x + 3) + (- 214375x - 128625)log(2x - 1) - 163350x
+--R     + 
+--R       - 98010x - 44
+--R  /
+--R     302500x + 181500
+--R                                         Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 343log(2x - 1) + 343log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                        484
+--R                                                    Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(2+3*x)^2/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R               2
+--R           - 9x  - 12x - 4
+--R   (1)  ---------------------
+--R           3      2
+--R        50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=(-1/275)/(3+5*x)-49/242*log(1-2*x)+68/3025*log(3+5*x)
+--R 
+--R
+--R        (680x + 408)log(5x + 3) + (- 6125x - 3675)log(- 2x + 1) - 22
+--R   (2)  ------------------------------------------------------------
+--R                               30250x + 18150
+--R                                                    Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (680x + 408)log(5x + 3) + (- 6125x - 3675)log(2x - 1) - 22
+--R   (3)  ----------------------------------------------------------
+--R                              30250x + 18150
+--R                                         Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 49log(2x - 1) + 49log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                       242
+--R                                                    Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(2+3*x)/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R               - 3x - 2
+--R   (1)  ---------------------
+--R           3      2
+--R        50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-1/55)/(3+5*x)-7/121*log(1-2*x)+7/121*log(3+5*x)
+--R 
+--R
+--R        (175x + 105)log(5x + 3) + (- 175x - 105)log(- 2x + 1) - 11
+--R   (2)  ----------------------------------------------------------
+--R                               3025x + 1815
+--R                                                    Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (175x + 105)log(5x + 3) + (- 175x - 105)log(2x - 1) - 11
+--R   (3)  --------------------------------------------------------
+--R                              3025x + 1815
+--R                                         Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 7log(2x - 1) + 7log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                      121
+--R                                                    Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=1/((1-2*x)*(3+5*x)^2)
+--R 
+--R
+--R                    1
+--R   (1)  - ---------------------
+--R             3      2
+--R          50x  + 35x  - 12x - 9
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-1/11)/(3+5*x)-2/121*log(1-2*x)+2/121*log(3+5*x)
+--R 
+--R
+--R        (10x + 6)log(5x + 3) + (- 10x - 6)log(- 2x + 1) - 11
+--R   (2)  ----------------------------------------------------
+--R                             605x + 363
+--R                                                    Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R        (10x + 6)log(5x + 3) + (- 10x - 6)log(2x - 1) - 11
+--R   (3)  --------------------------------------------------
+--R                            605x + 363
+--R                                         Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 2log(2x - 1) + 2log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                      121
+--R                                                    Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=1/((1-2*x)*(2+3*x)*(3+5*x)^2)
+--R 
+--R
+--R                         1
+--R   (1)  - -------------------------------
+--R              4       3      2
+--R          150x  + 205x  + 34x  - 51x - 18
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-5/11)/(3+5*x)-4/847*log(1-2*x)+9/7*log(2+3*x)-155/121*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R       (- 5425x - 3255)log(5x + 3) + (5445x + 3267)log(3x + 2)
+--R     + 
+--R       (- 20x - 12)log(- 2x + 1) - 385
+--R  /
+--R     4235x + 2541
+--R                                                    Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R       (- 5425x - 3255)log(5x + 3) + (5445x + 3267)log(3x + 2)
+--R     + 
+--R       (- 20x - 12)log(2x - 1) - 385
+--R  /
+--R     4235x + 2541
+--R                                         Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 4log(2x - 1) + 4log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                      847
+--R                                                    Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=1/((1-2*x)*(2+3*x)^2*(3+5*x)^2)
+--R 
+--R
+--R                              1
+--R   (1)  - ----------------------------------------
+--R              5       4       3      2
+--R          450x  + 915x  + 512x  - 85x  - 156x - 36
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-9/7)/(2+3*x)+(-25/11)/(3+5*x)-8/5929*log(1-2*x)+648/49*log(2+3*x)-_
+     1600/121*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                  2
+--R       (- 1176000x  - 1489600x - 470400)log(5x + 3)
+--R     + 
+--R                2
+--R       (1176120x  + 1489752x + 470448)log(3x + 2)
+--R     + 
+--R              2
+--R       (- 120x  - 152x - 48)log(- 2x + 1) - 78540x - 49819
+--R  /
+--R           2
+--R     88935x  + 112651x + 35574
+--R                                                    Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                  2
+--R       (- 1176000x  - 1489600x - 470400)log(5x + 3)
+--R     + 
+--R                2
+--R       (1176120x  + 1489752x + 470448)log(3x + 2)
+--R     + 
+--R              2
+--R       (- 120x  - 152x - 48)log(2x - 1) - 78540x - 49819
+--R  /
+--R           2
+--R     88935x  + 112651x + 35574
+--R                                         Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 8log(2x - 1) + 8log(- 2x + 1)
+--R   (4)  -------------------------------
+--R                      5929
+--R                                                    Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=1/((1-2*x)*(2+3*x)^3*(3+5*x)^2)
+--R 
+--R
+--R                                    1
+--R   (1)  - ----------------------------------------------------
+--R               6        5        4       3       2
+--R          1350x  + 3645x  + 3366x  + 769x  - 638x  - 420x - 72
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-9/14)/(2+3*x)^2+(-648/49)/(2+3*x)+(-125/11)/(3+5*x)-_
+     16/41503*log(1-2*x)+34371/343*log(2+3*x)-12125/121*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                    3             2
+--R       (- 374298750x  - 723644250x  - 465794000x - 99813000)log(5x + 3)
+--R     + 
+--R                  3             2
+--R       (374300190x  + 723647034x  + 465795792x + 99813384)log(3x + 2)
+--R     + 
+--R               3        2                                        2
+--R       (- 1440x  - 2784x  - 1792x - 384)log(- 2x + 1) - 24954930x  - 32442333x
+--R     + 
+--R       - 10519355
+--R  /
+--R             3           2
+--R     3735270x  + 7221522x  + 4648336x + 996072
+--R                                                    Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                    3             2
+--R       (- 374298750x  - 723644250x  - 465794000x - 99813000)log(5x + 3)
+--R     + 
+--R                  3             2
+--R       (374300190x  + 723647034x  + 465795792x + 99813384)log(3x + 2)
+--R     + 
+--R               3        2                                      2
+--R       (- 1440x  - 2784x  - 1792x - 384)log(2x - 1) - 24954930x  - 32442333x
+--R     + 
+--R       - 10519355
+--R  /
+--R             3           2
+--R     3735270x  + 7221522x  + 4648336x + 996072
+--R                                         Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 16log(2x - 1) + 16log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                      41503
+--R                                                    Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=1/((1-2*x)*(2+3*x)^4*(3+5*x)^2)
+--R 
+--R
+--R                                           1
+--R   (1)  - ------------------------------------------------------------------
+--R               7         6         5        4       3        2
+--R          4050x  + 13635x  + 17388x  + 9039x  - 376x  - 2536x  - 1056x - 144
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=(-3/7)/(2+3*x)^3+(-324/49)/(2+3*x)^2+(-34371/343)/(2+3*x)+_
+     (-625/11)/(3+5*x)-32/290521*log(1-2*x)+1612242/2401*log(2+3*x)-_
+     81250/121*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                         4               3               2
+--R           - 26335968750x  - 68473518750x  - 66717787500x  - 28872025000x
+--R         + 
+--R           - 4681950000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       4               3               2
+--R           26335973070x  + 68473529982x  + 66717798444x  + 28872029736x
+--R         + 
+--R           4681950768
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               4         3         2                                          3
+--R       (- 4320x  - 11232x  - 10944x  - 4736x - 768)log(- 2x + 1) - 1755736290x
+--R     + 
+--R                    2
+--R       - 3452950809x  - 2261654241x - 493301347
+--R  /
+--R              4             3            2
+--R     39220335x  + 101972871x  + 99358182x  + 42997108x + 6972504
+--R                                                    Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                         4               3               2
+--R           - 26335968750x  - 68473518750x  - 66717787500x  - 28872025000x
+--R         + 
+--R           - 4681950000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                       4               3               2
+--R           26335973070x  + 68473529982x  + 66717798444x  + 28872029736x
+--R         + 
+--R           4681950768
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R               4         3         2                                        3
+--R       (- 4320x  - 11232x  - 10944x  - 4736x - 768)log(2x - 1) - 1755736290x
+--R     + 
+--R                    2
+--R       - 3452950809x  - 2261654241x - 493301347
+--R  /
+--R              4             3            2
+--R     39220335x  + 101972871x  + 99358182x  + 42997108x + 6972504
+--R                                         Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 32log(2x - 1) + 32log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                      290521
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=1/((1-2*x)*(2+3*x)^5*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R   -
+--R        1
+--R     /
+--R                8         7         6         5         4        3        2
+--R          12150x  + 49005x  + 79434x  + 61893x  + 16950x  - 8360x  - 8240x
+--R        + 
+--R          - 2544x - 288
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=(-9/28)/(2+3*x)^4+(-216/49)/(2+3*x)^3+(-34371/686)/(2+3*x)^2+_
+     (-1612242/2401)/(2+3*x)+(-3125/11)/(3+5*x)-64/2033647*log(1-2*x)+_
+     70752609/16807*log(2+3*x)-509375/121*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                            5                  4                  3
+--R           - 13868926312500x  - 45305159287500x  - 59174085600000x
+--R         + 
+--R                            2
+--R           - 38627528100000x  - 12601888600000x - 1643724600000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          5                  4                  3
+--R           13868926416180x  + 45305159626188x  + 59174086042368x
+--R         + 
+--R                          2
+--R           38627528388768x  + 12601888694208x + 1643724612288
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                   5          4          3          2
+--R         (- 103680x  - 338688x  - 442368x  - 288768x  - 94208x - 12288)
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                      4                 3                 2
+--R       - 924595208460x  - 2434767448806x  - 2403262839978x  - 1053787613109x
+--R     + 
+--R       - 173183872939
+--R  /
+--R                  5               4               3              2
+--R       3294508140x  + 10762059924x  + 14056568064x  + 9175815264x  + 2993528384x
+--R     + 
+--R       390460224
+--R                                                    Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                            5                  4                  3
+--R           - 13868926312500x  - 45305159287500x  - 59174085600000x
+--R         + 
+--R                            2
+--R           - 38627528100000x  - 12601888600000x - 1643724600000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                          5                  4                  3
+--R           13868926416180x  + 45305159626188x  + 59174086042368x
+--R         + 
+--R                          2
+--R           38627528388768x  + 12601888694208x + 1643724612288
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                 5          4          3          2
+--R       (- 103680x  - 338688x  - 442368x  - 288768x  - 94208x - 12288)log(2x - 1)
+--R     + 
+--R                      4                 3                 2
+--R       - 924595208460x  - 2434767448806x  - 2403262839978x  - 1053787613109x
+--R     + 
+--R       - 173183872939
+--R  /
+--R                  5               4               3              2
+--R       3294508140x  + 10762059924x  + 14056568064x  + 9175815264x  + 2993528384x
+--R     + 
+--R       390460224
+--R                                         Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 64log(2x - 1) + 64log(- 2x + 1)
+--R   (4)  ---------------------------------
+--R                     2033647
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=1/((1-2*x)*(2+3*x)^6*(3+5*x)^2)
+--R 
+--R
+--R   (1)
+--R   -
+--R        1
+--R     /
+--R                9          8          7          6          5        4         3
+--R          36450x  + 171315x  + 336312x  + 344547x  + 174636x  + 8820x  - 41440x
+--R        + 
+--R                  2
+--R          - 24112x  - 5952x - 576
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=(-9/35)/(2+3*x)^5+(-162/49)/(2+3*x)^4+(-11457/343)/(2+3*x)^3+_
+     (-806121/2401)/(2+3*x)^2+(-70752609/16807)/(2+3*x)+_
+     (-15625/11)/(3+5*x)-128/14235529*log(1-2*x)+2977686468/117649*_
+     log(2+3*x)-3062500/121*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                              6                    5                     4
+--R           - 2188822879687500x  - 8609369993437500x  - 14105747446875000x
+--R         + 
+--R                               3                    2
+--R           - 12322262137500000x  - 6053041050000000x  - 1585320275000000x
+--R         + 
+--R           - 172944030000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                            6                    5                     4
+--R           2188822880465100x  + 8609369996496060x  + 14105747451886200x
+--R         + 
+--R                             3                    2
+--R           12322262141877600x  + 6053041052150400x  + 1585320275563200x
+--R         + 
+--R           172944030061440
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6           5           4           3           2
+--R           - 777600x  - 3058560x  - 5011200x  - 4377600x  - 2150400x  - 563200x
+--R         + 
+--R           - 61440
+--R      *
+--R         log(- 2x + 1)
+--R     + 
+--R                         5                   4                   3
+--R       - 145921526219700x  - 481541037023970x  - 635461225889490x
+--R     + 
+--R                         2
+--R       - 419169494735145x  - 138206158563165x - 18221473659389
+--R  /
+--R                   6                5                4                3
+--R       86480838675x  + 340157965455x  + 557320960350x  + 486855091800x
+--R     + 
+--R                    2
+--R       239156887200x  + 62636327600x + 6833053920
+--R                                                    Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                              6                    5                     4
+--R           - 2188822879687500x  - 8609369993437500x  - 14105747446875000x
+--R         + 
+--R                               3                    2
+--R           - 12322262137500000x  - 6053041050000000x  - 1585320275000000x
+--R         + 
+--R           - 172944030000000
+--R      *
+--R         log(5x + 3)
+--R     + 
+--R                            6                    5                     4
+--R           2188822880465100x  + 8609369996496060x  + 14105747451886200x
+--R         + 
+--R                             3                    2
+--R           12322262141877600x  + 6053041052150400x  + 1585320275563200x
+--R         + 
+--R           172944030061440
+--R      *
+--R         log(3x + 2)
+--R     + 
+--R                    6           5           4           3           2
+--R           - 777600x  - 3058560x  - 5011200x  - 4377600x  - 2150400x  - 563200x
+--R         + 
+--R           - 61440
+--R      *
+--R         log(2x - 1)
+--R     + 
+--R                         5                   4                   3
+--R       - 145921526219700x  - 481541037023970x  - 635461225889490x
+--R     + 
+--R                         2
+--R       - 419169494735145x  - 138206158563165x - 18221473659389
+--R  /
+--R                   6                5                4                3
+--R       86480838675x  + 340157965455x  + 557320960350x  + 486855091800x
+--R     + 
+--R                    2
+--R       239156887200x  + 62636327600x + 6833053920
+--R                                         Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 128log(2x - 1) + 128log(- 2x + 1)
+--R   (4)  -----------------------------------
+--R                      14235529
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(2+3*x)^m/((1-2*x)*(3+5*x)^3)
+--R 
+--R
+--R                             m
+--R                     (3x + 2)
+--R   (1)  - -------------------------------
+--R              4       3      2
+--R          250x  + 325x  + 45x  - 81x - 27
+--R                                                    Type: Expression(Integer)
+--E 431
+
+--S 432 of 500
+--r0:=-5/22*(2+3*x)^(1+m)/(3+5*x)^2-10/121*(2+3*x)^(1+m)/(3+5*x)+_
+--     15/22*(1-m)*(2+3*x)^(1+m)/(3+5*x)+8/9317*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)-20/1331*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)-30/121*m*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)+45/22*(1-m)*m*(2+3*x)^(1+m)*_
+--     hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 432
+
+--S 433 of 500
+--a0:=integrate(t0,x)
+--E 433
+
+--S 434 of 500
+--m0:=a0-r0
+--E 434
+
+--S 435 of 500
+--d0:=D(m0,x)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(2+3*x)^8/((1-2*x)*(3+5*x)^3)
+--R 
+--R
+--R   (1)
+--R              8         7         6          5         4         3         2
+--R       - 6561x  - 34992x  - 81648x  - 108864x  - 90720x  - 48384x  - 16128x
+--R     + 
+--R       - 3072x - 256
+--R  /
+--R         4       3      2
+--R     250x  + 325x  + 45x  - 81x - 27
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=-62934003/500000*x-9268263/100000*x^2-1535517/25000*x^3-_
+     264627/10000*x^4-6561/1250*x^5+(-1/8593750)/(3+5*x)^2+_
+     (-266/47265625)/(3+5*x)-5764801/85184*log(1-2*x)+_
+     31024/519921875*log(3+5*x)
+--R 
+--R
+--R   (2)
+--R                 2
+--R       (49638400x  + 59566080x + 17869824)log(5x + 3)
+--R     + 
+--R                         2
+--R       (- 56296884765625x  - 67556261718750x - 20266878515625)log(- 2x + 1)
+--R     + 
+--R                       7                  6                  5
+--R       - 4366345500000x  - 27253273162500x  - 79082602830000x
+--R     + 
+--R                         4                   3                   2
+--R       - 146338473723750x  - 215620841031750x  - 153403867608750x
+--R     + 
+--R       - 37694322033170x - 565664
+--R  /
+--R                  2
+--R     831875000000x  + 998250000000x + 299475000000
+--R                                                    Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R 
+--R
+--R   (3)
+--R                 2
+--R       (49638400x  + 59566080x + 17869824)log(5x + 3)
+--R     + 
+--R                         2
+--R       (- 56296884765625x  - 67556261718750x - 20266878515625)log(2x - 1)
+--R     + 
+--R                       7                  6                  5
+--R       - 4366345500000x  - 27253273162500x  - 79082602830000x
+--R     + 
+--R                         4                   3                   2
+--R       - 146338473723750x  - 215620841031750x  - 153403867608750x
+--R     + 
+--R       - 37694322033170x - 565664
+--R  /
+--R                  2
+--R     831875000000x  + 998250000000x + 299475000000
+--R                                         Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R 
+--R
+--R        - 5764801log(2x - 1) + 5764801log(- 2x + 1)
+--R   (4)  -------------------------------------------
+--R                           85184
+--R                     