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USAMO 1987 Problem 1

  • Day 1
  • Answer

Find all solutions to (m2+n)(m+n2)=(m−n)3\left(m^{2}+n\right)\left(m+n^{2}\right)=(m-n)^{3}, where mm and nn are non-zero integers.

Dataset text NuminaMath olympiads. Quoted with source.

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(m, n)=(-1,-1),(8,-10),(9,-6),(9,-21)

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