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AIME 2015a Problem 1

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The expressions AA = 1×2+3×4+5×6+⋯+37×38+391 \times 2 + 3 \times 4 + 5 \times 6 + \cdots + 37 \times 38 + 39 and BB = 1+2×3+4×5+⋯+36×37+38×391 + 2 \times 3 + 4 \times 5 + \cdots + 36 \times 37 + 38 \times 39 are obtained by writing multiplication and addition operators in an alternating pattern between successive integers. Find the positive difference between integers AA and BB.

Dataset text AIME 1983 to 2026. Quoted with source.

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