Updates:
        Cc: matt...@gmail.com
        Labels: -NeedsReview NeedsBetterPatch Polynomial

Comment #2 on issue 2490 by asmeurer: Create a Mod object for symbolic modulus (x % y)
http://code.google.com/p/sympy/issues/detail?id=2490

But it's a start, and would allow to do the sort of thing mentioned in the OP.

I think there are algorithms in the polys to handle modular reduction of symbolic expressions (at least polynomial expressions).

There are some issues with the patch.  See the pull request.

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