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GAIC Math 2024 Problem 63

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Given an integer coefficient polynomial P(x)P(x) satisfying: P(−1)=−4,P(−3)=−40,P(−5)=−156P(-1)=-4, P(-3)=-40, P(-5)=-156. The maximum number of solutions x for P(P(x))=x2P(P(x))=x^2 is _____.

Dataset text MathOdyssey. Open licence.

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