olymmath

ZA-SAMO 2019 Problem 5

    Find all functions f:Z→Zf : \mathbb{Z} \to \mathbb{Z} such that f(a3)+f(b3)+f(c3)+3f(a+b)f(b+c)f(c+a)=(f(a+b+c))3f(a^3) + f(b^3) + f(c^3) + 3f(a + b)f(b + c)f(c + a) = {(f(a + b + c))}^3 for all integers a,b,ca, b, c .

    Dataset text AI-MO AoPS. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator za-samo/2019/p5 · Tag VAR9Y39MD5 · Edit this page on GitHub · Keys: j next, k previous