VN-TST 2005 Problem 3

Find all functions $f: \mathbb{Z} \mapsto \mathbb{Z}$ satisfying the condition: $f(x^3 +y^3 +z^3 )=f(x)^3+f(y)^3+f(z)^3.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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