On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3sin(3π((-1(2(-4x - 5)^2 + 1(-4x - 5) + 3) + 1)/(-3(2(-4x - 5)^2 + 1(-4x - 5) + 3) - 2)) - 1) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}
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