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2024 AIME II Problems/Problem 13

Revision as of 00:33, 9 February 2024 by Mathemagician108 (talk | contribs) (→‎Problem)

Problem

Let $\omega\neq 1$ be a 13th root of unity. Find the remainder when \[\prod_{k=0}^{12}(2-2\omega^k+\omega^{2k})\] is divided by 1000.

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