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TR-MO-R1 2017 Problem 14

    x,y,z,w,vx, y, z, w, v negatif olmayan tam sayılardır. x2+y2+z2+w2+v2=40x^2 + y^2 + z^2 + w^2 + v^2 = 40 denklemini gerçekleyen tüm (x,y,z,w,v)(x, y, z, w, v) tam sayı beşlilerinin sayısı kaçtır?

    A) 56 B) 66 C) 112 D) 120 E) 122

    Official text Turkish Mathematical Olympiad, first round 2017 official paper, page 9. Quoted with source.

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