olymmath

USAMO 2015 Problem 1

  • Day 1

Solve in integers the equation x2+xy+y2=(x+y3+1)3.x^2+xy+y^2 = \left(\frac{x+y}{3}+1\right)^3.

Dataset text AI-MO AoPS. Quoted with source.

Also USAJMO 2015 Problem 2.

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