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Let f(x) = 2x^3 + 3(1-3a)x^2 + 6(a^2-a)x...

Let `f(x) = 2x^3 + 3(1-3a)x^2 + 6(a^2-a)x +b` where `a, b in R`. Find the smallest integral value of a for which f(x) has a positive point of local maximum.

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