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TR-MO-R1 2018 Problem 18

    22n+2n+n2^{2^n} + 2^n + n ifadesinin 7 ile tam bölünmesini sağlayan kaç n≤420n \leq 420 pozitif tam sayısı vardır?

    a) 20 b) 30 c) 40 d) 50 e) 60

    Official text Turkish Mathematical Olympiad, first round 2018 official paper, page 7. Quoted with source.

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