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TR-MO-R1 2009 Problem 6

    a2b+ab2=2009201020092010a^2b + ab^2 = 2009201020092010 eşitliğini sağlayan kaç (a,b)(a, b) tam sayı ikilisi vardır?

    a) 4 b) 2 c) 1 d) 0 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2009 official paper, page 3. Quoted with source.

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