IrMO 2018 Problem 3

Find all functions $f(x) = ax^2 + bx + c$ , with $a \ne 0$ , such that $f(f(1)) = f(f(0)) = f(f(-1))$ .

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.