olymmath

JBMO-SL 2019 N4

  • Answer

Find all integers x,yx, y such that

x3(y+1)+y3(x+1)=19x^{3}(y+1)+y^{3}(x+1)=19

Dataset text NuminaMath olympiads. Quoted with source.

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(2,1), (1,2), (-1,-20), (-20,-1)

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