olymmath

AIME 2021a Problem 7

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Find the number of pairs (m,n)(m,n) of positive integers with 1≤m<n≤301\le m<n\le 30 such that there exists a real number xx satisfying sin⁡(mx)+sin⁡(nx)=2.\sin(mx)+\sin(nx)=2.

Dataset text AIME 1983 to 2026. Quoted with source.

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