AIME 2024b Problem 11

Find the number of triples of nonnegative integers $(a,b,c)$ satisfying $a + b + c = 300$ and $a^2b + a^2c + b^2a + b^2c + c^2a + c^2b = 6,000,000.$

Dataset text AIME 1983 to 2026. Quoted with source.

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601

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