Determine all pairs of non-negative integers $(m, n)$ with m ≥n, such that $(m+n)^3$ divides $2n(3m^2+n^2)+8$
Source: Archimedes Junior 2015
Tags: number theory
Determine all pairs of non-negative integers $(m, n)$ with m ≥n, such that $(m+n)^3$ divides $2n(3m^2+n^2)+8$