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Find the number of positive integers \(n,\) \(1 \le n \le 100,\) for which \(x^{2n} + 1 + (x + 1)^{2n}\) is divisible by \(x^2 + x + 1.\)

 Apr 16, 2019
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The answer is 50.

 Nov 29, 2019

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