olymmath

AIME 2026a Problem 6

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The product of all positive real numbers xx satisfying the equation xlog⁡2026x20=26x\sqrt[20]{x^{\log_{2026} x}} = 26x is an integer PP. Find the number of positive integer divisors of PP.

Dataset text AIME 1983 to 2026. Quoted with source.

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441

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Locator aime/2026a/p6 · Tag A8QM16G8WQ · Edit this page on GitHub · Keys: j next, k previous