Practice Arena

AIME-level combinatorics problems. All answers are integers between 000 and 999. Covers inclusion-exclusion, generating functions, derangements, and advanced counting.

Challenging problems inspired by AMC 12 level difficulty, covering modular arithmetic, Diophantine equations, polynomial roots, floor/ceiling functions, and functional equations.

Challenging competition-level problems covering modular arithmetic, Diophantine equations, polynomial roots, floor/ceiling functions, and functional equations.

Olympiad-level geometry problems for IMO preparation. Topics include projective geometry, radical axes, inversive geometry, concyclicity, and angle chasing.

USAMO-level problems in number theory and algebra. Topics include Vieta jumping, infinite descent, p-adic valuations, Fermat/Euler theorems, and the Legendre symbol.