Nemotron-IMO-Bench 2026 A10

Find all functions $f: (1,\infty)\to (1,\infty)$ such that whenever $x,y>1$ satisfy $x^2\leq y\leq x^3$ we have $f(x)^2\leq f(y)\leq f(x)^3$ .

Dataset text Nemotron-IMO-Bench. Open licence.

Solutions

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