olymmath

AIME 2001a Problem 3

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Find the sum of the roots, real and non-real, of the equation x2001+(12−x)2001=0x^{2001}+\left(\frac 12-x\right)^{2001}=0, given that there are no multiple roots.

Dataset text AIME 1983 to 2026. Quoted with source.

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