olymmath

AIME 2000b Problem 9

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Given that zz is a complex number such that z+1z=2cos⁡3∘z+\frac 1z=2\cos 3^\circ, find the least integer that is greater than z2000+1z2000z^{2000}+\frac 1{z^{2000}}.

Dataset text AIME 1983 to 2026. Quoted with source.

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