Problem
AMC Practice #1 - Problem 4
If r_{1}, r_{2}, ... , r_{1000} are the roots (with multiplicity) of polynomial P(x) = x^{1000} - 2x^2 + 25x - 1, find r_1^{1000}+r_{2}^{1000}+...+r_{1000}^{1000}.
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