olymmath

HMMT 2015 U15

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Find the maximum possible value of H⋅M⋅M⋅TH \cdot M \cdot M \cdot T over all ordered triples (H,M,T)(H, M, T) of integers such that H⋅M⋅M⋅T=H+M+M+TH \cdot M \cdot M \cdot T=H+M+M+T.

Dataset text NuminaMath olympiads. Quoted with source.

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