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Omni-MATH / Find all integers m and n such that the fifth power of m minus the fifth power of n is equal to 16mn.

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problem

Find all integers mm and nn such that the fifth power of mm minus the fifth power of nn is equal to 16mn16mn.
Plain-text mathematical notation (without MathML)
Find all integers m and n such that the fifth power of m minus the fifth power of n is equal to 16mn.
Original LaTeX notation
Find all integers $m$ and $n$ such that the fifth power of $m$ minus the fifth power of $n$ is equal to $16mn$.

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