TR-MO-R1 2008 Problem 22

Kaç $a \geq b$ şartını sağlayan $(a, b)$ pozitif tamsayı ikilisi için $a^2 + b^2$ ifadesi $a^3 + b$ ve $a + b^3$ ifadelerini böler?

a) 0 b) 1 c) 2 d) 3 e) Sonsuz Sayıda

Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 7. Quoted with source.

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