TR-MO-R1 2014 Problem 10

$m^3 - n^3 = 9^k + 123$ eşitliğini sağlayan kaç $(m, n, k)$ negatif olmayan tam sayı üçlüsü vardır?

a) $1$ b) $2$ c) $3$ d) $4$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2014 official paper, page 4. Quoted with source.

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