Comment #24 on issue 694 by mattpap: Add tests from "Review of CAS mathematical capabilities", by Michael Wester
http://code.google.com/p/sympy/issues/detail?id=694

Regarding #21, now (polys11) those solutions also simplify to zero:

In [1]: f = x**4+x**3+x**2+x+1

In [2]: s = solve(f, x)

In [4]: [ simplify(f.subs(x, ss)) for ss in s ]
Out[4]: [0, 0, 0, 0]

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