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For a system of linear equations over a field, we know when system has unique solution. Is there any result over non linear equations? I have a system of non linear equations over $GF(2)$.

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No. In order to get better help, just name the equations which you want to solve. – Martin Brandenburg Feb 20 '13 at 18:18
My equations are very long. Some contains more than 1000 monomials. – user12290 Feb 20 '13 at 18:46

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