olymmath

ISL 2014 A4

    Determine all functions f:Z→Zf: \mathbb{Z} \rightarrow \mathbb{Z} satisfying f(f(m)+n)+f(m)=f(n)+f(3m)+2014f(f(m)+n)+f(m)=f(n)+f(3 m)+2014 for all integers mm and nn.

    Dataset text NuminaMath olympiads. Quoted with source.

    Official text: IMO 2014 Shortlist booklet, page 5.

    Solutions

    Official solution Solution 1 by the IMO Problem Selection Committee

    The terms of the source let olymmath link to this solution but not copy it. Read the solution (IMO official site).

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