TR-MO-R1 2009 Problem 34

$x$ ve $y$ farklı pozitif tam sayılar olmak üzere, $(x+y^2)(x^2-y)/(xy)$ ifadesinin alabileceği en küçük pozitif tam sayı değer nedir?

a) $3$ b) $8$ c) $14$ d) $15$ e) $17$

Official text Turkish Mathematical Olympiad, first round 2009 official paper, page 10. Quoted with source.

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