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TR-MO-R1 2009 Problem 3

    x=11+3373+11−3373x = \sqrt[3]{11 + \sqrt{337}} + \sqrt[3]{11 - \sqrt{337}} olduğuna göre, x3+18xx^3 + 18x kaçtır?

    a) 24 b) 22 c) 20 d) 11 e) 10

    Official text Turkish Mathematical Olympiad, first round 2009 official paper, page 2. Quoted with source.

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