Problem of the Month
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August 2026
Original
Uploaded August 1st 2026
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Find the smallest possible value of $a + b + c$, given that $a, b, c$ are integers satisfying $(a - 6b - 4c + 16)^3 = 2(a + b - 4c - 12)^3 = 3(2a + 2b + 5c + 15)^3$.
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