olymmath

IR-TST 2021 Problem 8

  • Test 2

Find all functions f:N→Nf : \mathbb{N} \rightarrow \mathbb{N} such that for any two positive integers m,nm,n we have : f(n)+1400m2∣n2+f(f(m))f(n)+1400m^2|n^2+f(f(m))

Dataset text AI-MO AoPS. Quoted with source.

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