olymmath

IMO 1998 Problem 4

  • Day 2

Determine all pairs (x,y)(x,y) of positive integers such that x2y+x+yx^{2}y+x+y is divisible by xy2+y+7xy^{2}+y+7 .

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IMO98.gif

Dataset text AI-MO AoPS. Quoted with source.

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