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BD-BDMO 2021 Problem 4

    P(x)P(x) is a polynomial in xx with non-negative integer coefficients. If P(1)=5P(1)=5 and P(P(1))=177P(P(1))=177 , what is the sum of all possible values of P(10)P(10) ?

    Dataset text AI-MO AoPS. Quoted with source.

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