[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(4(-2sin(1π(-2x^2 + 2x - 2)) - 2) - 3) + 2| - 1 is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(-2cos(1π(-5((3x + 1)/(2x + 2)) - 4) - 2) - 2)^2 + 1(-2cos(1π(-5((3x + 1)/(2x + 2)) - 4) - 2) - 2) + 1 is strictly decreasing.

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[User]
For the function f(x) = 1|(1sin(2π(5(5x)^2 - 5(5x) - 5) - 2) + 3) + 1| - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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

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

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

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[User]
For the function f(x) = (1(2(1sin(3πx + 2) - 2) - 3))/(2(2(1sin(3πx + 2) - 2) - 3) - 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
For the function f(x) = 2((2(3cos(1πx + 1) - 1) - 1)/(3(3cos(1πx + 1) - 1) + 3))^2 - 2((2(3cos(1πx + 1) - 1) - 1)/(3(3cos(1πx + 1) - 1) + 3)) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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

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[User]
For the function f(x) = 1sin(1π(1((3x - 3)/(-2x))^2 + 1((3x - 3)/(-2x)) - 5) - 2) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
For the function f(x) = 1cos(1π(-2(-3((-2x)/(1x + 3)) - 4)^2 - 3(-3((-2x)/(1x + 3)) - 4) - 1) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
For the function f(x) = -1cos(2π(-4((-3(1|x + 1| - 3) + 3)/(-3(1|x + 1| - 3) + 4))^2 + 2((-3(1|x + 1| - 3) + 3)/(-3(1|x + 1| - 3) + 4)) - 1) - 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (1(-3cos(1π(-2x + 2) + 3) + 2) + 3)/(3(-3cos(1π(-2x + 2) + 3) + 2) - 2) is strictly increasing.

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (3(3(-2cos(1πx - 2) + 2)^2 - 4(-2cos(1πx - 2) + 2) - 2) - 3)/(-3(3(-2cos(1πx - 2) + 2)^2 - 4(-2cos(1πx - 2) + 2) - 2) + 2) is strictly increasing.

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(2π(-1|(4((-2x + 2)/(1x))^2 - 4((-2x + 2)/(1x)) + 4) - 2| - 3) + 1) + 2 is strictly increasing.

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

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

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[User]
For the function f(x) = -1|(-5(2cos(1πx + 1) + 1) + 1) + 1| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(3sin(3π(1(-5x^2) + 5) - 3) - 2) + 1)/(3(3sin(3π(1(-5x^2) + 5) - 3) - 2) + 1) is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(1π(-1|(-4x^2 + 5) + 1| - 3) - 1) - 3 is strictly increasing.

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

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[User]
For the function f(x) = 1(-1|(3sin(1πx + 2) - 2) + 1|), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
For the function f(x) = (2(1cos(3π(-4x^2 + 3x - 5) + 3) + 1) + 1)/(2(1cos(3π(-4x^2 + 3x - 5) + 3) + 1) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2|(4(3cos(2πx + 2) - 3) + 5) - 2| - 1 positive?

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


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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (1(2(-2cos(1πx + 2) + 2)^2 - 4(-2cos(1πx + 2) + 2) - 4) - 2)/(-2(2(-2cos(1πx + 2) + 2)^2 - 4(-2cos(1πx + 2) + 2) - 4) - 3) is strictly increasing.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1((-3(3cos(3πx - 2)) - 1)/(-2(3cos(3πx - 2)))) is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-1(3sin(2π(1|x + 3| - 1) - 2) + 2))/(-1(3sin(2π(1|x + 3| - 1) - 2) + 2) + 2) is strictly decreasing.

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

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


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

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


[User]
For the function f(x) = -5((1(-1cos(1πx - 2)) + 3)/(-1(-1cos(1πx - 2)) - 1))^2 + 3((1(-1cos(1πx - 2)) + 3)/(-1(-1cos(1πx - 2)) - 1)) + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(-3cos(3π(1(-1x^2 - 2x - 2) - 2) + 2) - 3) - 2| + 2 is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3(1sin(3π(-5((-2x - 2)/(-1x))^2 + 5((-2x - 2)/(-1x)) - 1) - 3) + 1) - 4 is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(3π((1(1|(1x - 5) + 1|) - 3)/(3(1|(1x - 5) + 1|) - 2))) - 3 is strictly increasing.

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


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

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


[User]
For the function f(x) = 2cos(1π(-5(-3x - 4)^2 + 2(-3x - 4)) + 1) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
For the function f(x) = 1cos(1π(2|(5x^2 - 2x + 3) + 1| + 1) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3cos(3π(-4(-1x + 5)^2 - 2(-1x + 5) - 4) + 2) + 1 is strictly decreasing.

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


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

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

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


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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 4((3(-2|(2sin(1πx + 1) + 3) - 2| - 1) + 3)/(2(-2|(2sin(1πx + 1) + 3) - 2| - 1)))^2 - 5((3(-2|(2sin(1πx + 1) + 3) - 2| - 1) + 3)/(2(-2|(2sin(1πx + 1) + 3) - 2| - 1))) + 5 is strictly decreasing.

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


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

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


[User]
For the function f(x) = -3sin(2π(-5(-1|x - 2| - 1) + 2) - 1) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3((1(2|(3sin(1πx - 1) + 1) + 3| + 1) - 3)/(-2(2|(3sin(1πx - 1) + 1) + 3| + 1) - 2))^2 + 2((1(2|(3sin(1πx - 1) + 1) + 3| + 1) - 3)/(-2(2|(3sin(1πx - 1) + 1) + 3| + 1) - 2)) - 2 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2sin(3π(-3((-1x + 1)/(-1x + 2))^2 + 4((-1x + 1)/(-1x + 2))) - 2) is strictly increasing.

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[User]
For the function f(x) = -1((-2(3cos(1π(3|x + 3| + 2))) - 1)/(3(3cos(1π(3|x + 3| + 2))) + 2))^2 + 1((-2(3cos(1π(3|x + 3| + 2))) - 1)/(3(3cos(1π(3|x + 3| + 2))) + 2)) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(-2cos(2π(1|(5x + 2) + 2| - 1) + 2) - 1)^2 + 3(-2cos(2π(1|(5x + 2) + 2| - 1) + 2) - 1) - 3 is strictly decreasing.

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[User]
For the function f(x) = -1(3((-1(3sin(2πx + 2) - 3) + 3)/(-1(3sin(2πx + 2) - 3) - 3)) - 5)^2 - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1((-1(1sin(2πx - 1) - 1) - 2)/(3(1sin(2πx - 1) - 1) - 2)) + 2 is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-3(1sin(2π(2|x| - 1) - 2) - 2) + 1)/(1(1sin(2π(2|x| - 1) - 2) - 2) + 2) is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(2|((-3(2cos(1πx - 3) - 2) - 1)/(-1(2cos(1πx - 3) - 2) - 3)) + 2| + 1)^2 - 3(2|((-3(2cos(1πx - 3) - 2) - 1)/(-1(2cos(1πx - 3) - 2) - 3)) + 2| + 1) + 3 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1((-3(1cos(3πx + 1) + 1) - 3)/(3(1cos(3πx + 1) + 1) + 2)) - 1 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (2(-2(1|(1cos(1πx + 1) - 3) + 3|) + 1) - 1)/(1(-2(1|(1cos(1πx + 1) - 3) + 3|) + 1)) is strictly decreasing.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(2π(2|(5(3x^2 + 4x + 5) + 5)| + 1) - 1) + 2 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (2(-2cos(1π(2(-2|x - 2| + 2) + 2) - 1) - 2) - 2)/(-3(-2cos(1π(2(-2|x - 2| + 2) + 2) - 1) - 2) - 1) is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2(-2|(3(2cos(3πx + 1) + 2)^2 - 4(2cos(3πx + 1) + 2) - 1)| - 3) - 4 is strictly decreasing.

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

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


[User]
For the function f(x) = -2sin(3π((3(-2|x + 3| + 3) + 2)/(-3(-2|x + 3| + 3) + 2)) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
For the function f(x) = 2(-2|(1(2sin(2πx + 2) + 3)^2 + 3(2sin(2πx + 2) + 3)) - 3|) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(2|(3cos(2πx - 1) - 3) - 3| - 2)^2 + 4(2|(3cos(2πx - 1) - 3) - 3| - 2) + 3 is strictly increasing.

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

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3|(-1(-1cos(3πx + 1) + 2) + 5) - 3| + 1 positive?

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-5(3cos(2πx - 1) + 3)^2 - 2(3cos(2πx - 1) + 3) + 3) + 1 positive?

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -4(-2|((-2(-3cos(2πx + 2) + 1))/(1(-3cos(2πx + 2) + 1) - 2))| - 1) - 4 positive?

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


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

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3(-1sin(3π(1|(2x + 5) - 3| - 1) - 2) - 1)^2 + 2(-1sin(3π(1|(2x + 5) - 3| - 1) - 2) - 1) - 5 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(2π(-4(-1x - 4)^2 - 3(-1x - 4) + 3) - 3) - 1 is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3(-4((-1(-1cos(2πx - 2) + 1))/(-2(-1cos(2πx - 2) + 1) - 1))^2 - 3((-1(-1cos(2πx - 2) + 1))/(-2(-1cos(2πx - 2) + 1) - 1)) - 3) - 5 is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(-1|(-2sin(2πx - 3) - 3) + 2| - 3) + 3)/(2(-1|(-2sin(2πx - 3) - 3) + 2| - 3) + 1) is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(1π((1(-4x + 1) + 3)/(1(-4x + 1) - 3)) - 1) + 3 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1|(-3cos(3π(2x + 2)) + 2) + 2| + 1 is strictly decreasing.

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

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


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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(3|(2cos(2πx - 2) - 1) + 3| + 3) + 1 is strictly decreasing.

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(1π(-3|((-1x + 3)/(2x - 1))| - 1) + 1) is strictly increasing.

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(2((2(-3sin(2πx + 2) - 1) - 3)/(2(-3sin(2πx + 2) - 1) + 1)))^2 + 5(2((2(-3sin(2πx + 2) - 1) - 3)/(2(-3sin(2πx + 2) - 1) + 1))) + 1 is strictly increasing.

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[User]
For the function f(x) = 3(-3(-1cos(3πx + 1) + 2) + 1)^2 + 2(-3(-1cos(3πx + 1) + 2) + 1) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 5(-3|(-1(-1cos(2πx - 3) + 1)^2 + 2(-1cos(2πx - 3) + 1) + 2) + 3| + 1) - 2 negative?

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(1π(4(-2|x| + 2)^2 + 4(-2|x| + 2) - 4) + 2) is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1|(-1(1cos(3πx + 2) - 1) - 1) - 1| + 3 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -5(1cos(3π(2|x - 1| + 1)) + 3) - 3 is strictly decreasing.

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(3π(1(1|x - 2| - 1) + 2) + 1) - 2 is strictly decreasing.

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

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

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[User]
For the function f(x) = -3cos(1π(-1|((3(2x + 1) - 1)/(-1(2x + 1) + 2)) + 1| - 2) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(-2(2cos(3π(1|x| + 2) - 3) + 1) - 3)^2 + 5(-2(2cos(3π(1|x| + 2) - 3) + 1) - 3) - 5 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3sin(1π(5(-1|x - 1| + 3)^2) - 3) - 1 is strictly increasing.

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[User]
For the function f(x) = -2(-2cos(1π(-3|x - 1| + 3) - 1) - 2)^2 - 5(-2cos(1π(-3|x - 1| + 3) - 1) - 2) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2|(-2(-2sin(3πx - 1) + 2) - 2)| + 1 negative?

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (1(1|(5(2sin(3πx - 2)) + 2) - 3| + 3))/(-3(1|(5(2sin(3πx - 2)) + 2) - 3| + 3) + 1) is strictly increasing.

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

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(1π(4(1|x + 1|)) + 2) - 1 positive?

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


[User]
For the function f(x) = (-2(-2cos(2π(-3x^2 - 3x - 5) + 1) - 3) - 2)/(1(-2cos(2π(-3x^2 - 3x - 5) + 1) - 3)), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
For the function f(x) = 4(2sin(2π((-1x - 3)/(-3x + 1)) + 3) - 1)^2 - 2(2sin(2π((-1x - 3)/(-3x + 1)) + 3) - 1) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
For the function f(x) = -1((-1(1|(-1sin(2πx - 3) - 2) - 2| - 1) - 1)/(2(1|(-1sin(2πx - 3) - 2) - 2| - 1) - 1)) + 4, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(3π(-3(2|(-4x^2 - 3x + 1) + 3| - 3) - 5) - 1) + 2 is strictly decreasing.

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3|(-1(-1cos(1πx + 1) + 2)^2 + 1(-1cos(1πx + 1) + 2) - 2) + 3| negative?

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[User]
For the function f(x) = 1(1sin(2π(1(-2|x + 3| + 3) - 3) + 2) - 1)^2 + 5(1sin(2π(1(-2|x + 3| + 3) - 3) + 2) - 1) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


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

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1|(-1(-2sin(2πx - 3)) + 5) + 3| - 1 positive?

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1|(2cos(2π(-1x + 3) - 1) - 1) - 2| + 2 negative?

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


[User]
For the function f(x) = -4((3(-2|(-1cos(1πx - 2) + 1) + 2| + 1) - 3)/(2(-2|(-1cos(1πx - 2) + 1) + 2| + 1) - 1))^2 - 4((3(-2|(-1cos(1πx - 2) + 1) + 2| + 1) - 3)/(2(-2|(-1cos(1πx - 2) + 1) + 2| + 1) - 1)) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2cos(3π(-3(3|(-4x^2 + 5x - 5) + 3| + 2) + 4)) is strictly increasing.

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


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

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-1(-2(3(-2sin(1πx - 3) - 1)^2 + 3(-2sin(1πx - 3) - 1)) - 5) + 3)/(3(-2(3(-2sin(1πx - 3) - 1)^2 + 3(-2sin(1πx - 3) - 1)) - 5) + 3) is strictly increasing.

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


[User]
For the function f(x) = -1sin(2π(5(-1|(-3x^2 + 4x + 5)| - 3) - 1) + 3) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


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

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (1(3|(-2cos(3π(-4x - 1)) - 2) + 1| - 1) - 3)/(2(3|(-2cos(3π(-4x - 1)) - 2) + 1| - 1) + 3) is strictly increasing.

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


[User]
For the function f(x) = -1|(-3sin(3π(-1(4x^2 - 1x + 4) + 5) + 3) + 1) - 1| - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(4(2cos(2πx + 2)) + 3)^2 + 3(4(2cos(2πx + 2)) + 3) - 3 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (3(1(3cos(1π(4x + 2) - 1) + 1)^2 - 3(3cos(1π(4x + 2) - 1) + 1) - 5) - 3)/(1(1(3cos(1π(4x + 2) - 1) + 1)^2 - 3(3cos(1π(4x + 2) - 1) + 1) - 5) + 2) is strictly decreasing.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3|(-1(1cos(3πx + 2) - 2) - 1) + 2| + 3 is strictly increasing.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(2π(4(5x + 2)^2 + 4(5x + 2) - 4) - 1) + 2 is strictly increasing.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(2(2(3sin(2πx - 1) - 1) - 4)^2 - 1(2(3sin(2πx - 1) - 1) - 4) + 5) - 1| - 2 is strictly decreasing.

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


[User]
For the function f(x) = (1(3cos(1π(3(2x^2 - 1x)) + 3) - 3) - 2)/(3(3cos(1π(3(2x^2 - 1x)) + 3) - 3)), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 4(2(-2sin(2πx - 2))^2 - 2(-2sin(2πx - 2)) - 2) + 2 is strictly increasing.

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


[User]
For the function f(x) = -1(-1cos(1π(-2|x + 1| - 3) - 1) + 2)^2 - 3(-1cos(1π(-2|x + 1| - 3) - 1) + 2) - 4, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


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

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


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

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


[User]
For the function f(x) = -1cos(2π(3|(2x - 3)|) + 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
For the function f(x) = 3|(-4(-4(1sin(1πx - 3) - 1) - 4)^2 + 1(-4(1sin(1πx - 3) - 1) - 4) - 5) - 1|, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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

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


[User]
For the function f(x) = -1(1(-2|(1sin(3πx + 3) - 1)| + 3))^2 - 4(1(-2|(1sin(3πx + 3) - 1)| + 3)) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


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

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


[User]
For the function f(x) = (2(1cos(1π(3|(-1x^2 - 3x)| - 1) + 1) + 1) + 2)/(1(1cos(1π(3|(-1x^2 - 3x)| - 1) + 1) + 1) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-3(2(3cos(1πx) + 3) + 1) - 2)/(-2(2(3cos(1πx) + 3) + 1) + 1) negative?

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


[User]
For the function f(x) = -4(2cos(3π(2((2x + 2)/(3x - 2))) + 2) - 2)^2 + 2(2cos(3π(2((2x + 2)/(3x - 2))) + 2) - 2) + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


[User]
For the function f(x) = 3cos(2π(-1((-2(1x + 5) - 1)/(1(1x + 5) + 2))^2 + 1((-2(1x + 5) - 1)/(1(1x + 5) + 2)) - 5) - 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


[User]
For the function f(x) = -1|(5(2sin(2π(-2x + 5) + 2))^2 + 1(2sin(2π(-2x + 5) + 2)) - 1) - 1| - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
For the function f(x) = 2|((1(2cos(3πx - 1) - 1) + 3)/(-3(2cos(3πx - 1) - 1))) - 3| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
For the function f(x) = -1((1(-1cos(1πx - 2) - 1) - 1)/(2(-1cos(1πx - 2) - 1) + 1))^2 + 4((1(-1cos(1πx - 2) - 1) - 1)/(2(-1cos(1πx - 2) - 1) + 1)) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-3cos(2π(-1(2|x - 2| - 2) + 5) - 2) - 3)^2 + 1 positive?

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


[User]
For the function f(x) = -4(-1(-2cos(1π(-3|x + 2| + 1) - 1) - 3)^2 - 3(-2cos(1π(-3|x + 2| + 1) - 1) - 3) + 3) - 5, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
For the function f(x) = -2(4(3sin(3πx + 1) + 1) + 3)^2 + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3cos(2π((-3(-1|x| - 2) + 3)/(-1(-1|x| - 2) - 1)) - 1) + 2 positive?

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(2π(1|((-1x - 2)/(-2x + 3)) - 1| + 1)) + 1 positive?

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (2(-2|(-5(1sin(2πx + 1) - 1)^2 - 5(1sin(2πx + 1) - 1) - 5) - 2| + 2) + 2)/(-2(-2|(-5(1sin(2πx + 1) - 1)^2 - 5(1sin(2πx + 1) - 1) - 5) - 2| + 2) + 3) is strictly increasing.

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


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

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


[User]
For the function f(x) = -2|(-1sin(3π((-1x)/(-1x + 2)) - 1) - 2)|, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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

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


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

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


[User]
For the function f(x) = 2cos(1π(-5((-3x - 1)/(2x + 3))^2 - 3((-3x - 1)/(2x + 3)) + 2)) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
For the function f(x) = (2(-2cos(3π(-3x^2 + 5x - 3) + 3)) + 2)/(2(-2cos(3π(-3x^2 + 5x - 3) + 3)) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3|(3((3(-2cos(2πx + 2) - 2) + 1)/(1(-2cos(2πx + 2) - 2) + 1)) - 2) + 1| - 3 is strictly decreasing.

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


[User]
For the function f(x) = 2|((3(-1cos(2π(-4x^2 + 5x) + 1) + 1) + 3)/(-3(-1cos(2π(-4x^2 + 5x) + 1) + 1))) - 3| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


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

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


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

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


[User]
For the function f(x) = 5(2|(-2(1cos(3πx - 3) - 1)^2 + 1(1cos(3πx - 3) - 1) - 3) + 1| + 1) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


[User]
For the function f(x) = -4(-3|(2sin(1πx + 1))| - 3) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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

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


[User]
For the function f(x) = -1(5(1cos(1πx - 1) - 3)^2 + 4(1cos(1πx - 1) - 3) + 5) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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


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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(-2cos(3π((1(-3x^2 + 2x + 2))/(-1(-3x^2 + 2x + 2) - 2)) - 3) + 3)| + 1 is strictly increasing.

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


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1cos(2π(-1(-2x^2 - 3x - 1) + 4) - 3) + 3 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3(-2sin(1π(1x - 2) + 3) + 3)^2 + 5(-2sin(1π(1x - 2) + 3) + 3) - 2 is strictly decreasing.

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


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

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


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

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


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (2(-3|(2cos(3πx + 1) - 2) - 1| + 1) + 1)/(-3(-3|(2cos(3πx + 1) - 2) - 1| + 1) - 1) negative?

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


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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 4(-4((-1(-3cos(3πx - 3) - 3) + 3)/(1(-3cos(3πx - 3) - 3) + 3)) + 2)^2 - 4(-4((-1(-3cos(3πx - 3) - 3) + 3)/(1(-3cos(3πx - 3) - 3) + 3)) + 2) + 1 is strictly increasing.

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[User]
For the function f(x) = (-2(3cos(1π(3x + 2) - 2) + 1) - 1)/(-2(3cos(1π(3x + 2) - 2) + 1) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (1(2|(3cos(3π(1x)) + 3) - 2| - 2) + 3)/(-2(2|(3cos(3π(1x)) + 3) - 2| - 2) - 1) positive?

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[User]
For the function f(x) = 2(3(-1sin(3πx + 2) + 2)^2 + 1(-1sin(3πx + 2) + 2) + 2) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(2π(-1(-1|x + 1| - 1)^2 - 5(-1|x + 1| - 1) - 3) + 1) is strictly increasing.

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[User]
For the function f(x) = 1cos(1π(3(-1|x + 2| + 2) - 1) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
For the function f(x) = 2(3sin(1π(1|((-1x - 2)/(-1x + 2)) + 3| - 1) + 2) + 1) - 4, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
For the function f(x) = (3(2(-1cos(2π(2|x + 2|)) - 2)^2 + 4(-1cos(2π(2|x + 2|)) - 2) + 1) + 3)/(-2(2(-1cos(2π(2|x + 2|)) - 2)^2 + 4(-1cos(2π(2|x + 2|)) - 2) + 1)), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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

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