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HMMT February

Algebra Difficulty 4.8 AIME Find the answer

Find the largest prime factor of −x10−x8−x6−x4−x2−1-x^{10}-x^{8}-x^{6}-x^{4}-x^{2}-1, where x=2ix=2 i, i=−1i=\sqrt{-1}.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

13.

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