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If alpha = 1^2 + 4^2 + 8^2 + 13^2 +........

If `alpha = 1^2 + 4^2 + 8^2 + 13^2 +........` upto 10 terms and `beta = sum_(N=1)^(10) N^4` such that `4alpha - beta = 55 k + 40`, then find k.

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