2018 AIME Problem 6

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samiul_samin
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2018 AIME Problem 6

Unread post by samiul_samin » Thu Jan 10, 2019 11:09 pm

Let $N$ be the number of complex numbers $z$ with the properties that $|z|=1$ and $z^{6!}-z^{5!}$ is a real number. Find the remainder when $N$ is divided by $1000$.

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