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FKMO 2018 Problem 5

    Determine whether or not two polynomials P,QP, Q with degree no less than 2018 and with integer coefficients exist such that P(Q(x))=3Q(P(x))+1P(Q(x))=3Q(P(x))+1 for all real numbers xx.

    Dataset text AoPS wiki problems. Quoted with source.

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