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Omni-MATH / Determine all pairs (x,y) of positive integers such that x²y+x+y is divisible by xy²+y+7.

Problem

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problem

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.
Plain-text mathematical notation (without MathML)
Determine all pairs (x,y) of positive integers such that x²y+x+y is divisible by xy²+y+7.
Original LaTeX notation
Determine all pairs $(x,y)$ of positive integers such that $x^{2}y+x+y$ is divisible by $xy^{2}+y+7$.

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