olymmath

APMO 2021 Problem 5

  • Paper

Determine all functions f:Z→Zf: \mathbb{Z} \rightarrow \mathbb{Z} such that f(f(a)−b)+bf(2a)f(f(a)-b)+b f(2 a) is a perfect square for all integers aa and bb.

Dataset text NuminaMath olympiads. Quoted with source.

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