Difference between revisions of "2024 AIME II Problems/Problem 13"

Revision as of 21:58, 8 February 2024

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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-nope go back :)
+Let <math>\omega\neq 1</math> be a 13th root of unity. Find the remainder when
+<cmath>
+\prod_{k=0}^{12}(2-2\omega^k+\omega^{2k})
+</cmath>
+is divided by 1000.