At http://docs.sympy.org/tutorial/tutorial/simplification.html at the
bottom, I added a little example to show how to use some of the
polynomial simplification functions like cancel() and apart().  But I
can't think of any good examples to show the other types of
simplifications, like trig, power, log, and special functions.  Any
suggestions of a good problem or fun example that I can walk through
that would use some of those?

(btw, in case your idea uses them, technically I haven't introduced
derivatives or integrals yet, but I think they could be moved forward.
The only reason I put simplification first was that I thought it was
more important)

Aaron Meurer

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