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TR-MO-R1 2020 Problem 6

    n+11+n+n+11\sqrt{n+11}+\sqrt{n+\sqrt{n+11}} ifadesinin bir tam sayı olmasını sağlayan nn tam sayılarının toplamı kaçtır?

    a) 7171 b) 9292 c) 113113 d) 134134 e) 155155

    Official text Turkish Mathematical Olympiad, first round 2020 official paper, page 4. Quoted with source.

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