Comment #8 on issue 2895 by [email protected]: minpoly hangs on this expresion
http://code.google.com/p/sympy/issues/detail?id=2895

Except for the failure note in the OP, minimal_poly is more robust than unrad. In my unrad branch I have a commit where a change was made to unrad because it failed where minpoly didn't, but unrad still fails on unrad((sqrt(2)/3 + 7)**(S(1)/4) + sqrt(sqrt(2)/3 + 7) - x, all=True) -- in that branch (the `all` keyword is not in master). When I get some time I'll see if I can do that one by hand and figure out how to make unrad work (if possible). Unrad, as modified in the unrad branch, recognizes that it can't do the OP expression...but it also can't do the one that I noted here, so caveat emptor

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