Comment #22 on issue 694 by asmeurer: Add tests from "Review of CAS  
mathematical capabilities", by Michael Wester
http://code.google.com/p/sympy/issues/detail?id=694

The file has probably a couple hundred tests only a few of which have been  
written out anywhere (I think the
most up to date version right now is at my wester branch).  This is a good  
issue to work on for someone new to
SymPy because you will learn about all of the different functionalities,  
and also get a chance to look at the
source when you inevitably find a bug.  Maybe I should implement the ODE  
tests to see how well my module
handles them :).

As for the polynomial, if you apply sqrtdenest, it comes out just as simple  
as Maple's solution, except Maple
pulls out a common sqrt(4) from one of the square roots.

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