TR-MO-R1 2015 Problem 30

$3(m^3n + n^2 + 1) = m(n^3 + 9m + n)$ denklemini sağlayan kaç farklı $(m, n)$ tam sayı ikilisi vardır?

a) $0$ b) $2$ c) $4$ d) $8$ e) Sonsuz çoklukta

Official text Turkish Mathematical Olympiad, first round 2015 official paper, page 9. Quoted with source.

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