MEMO 2017 T1

Determine all pairs of polynomials $(P, Q)$ with real coefficients satisfying $P(x + Q(y)) = Q(x + P(y))$ for all real numbers $x$ and $y$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.