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

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


[User]
For the function f(x) = (1(2sin(3π(1|x - 2| + 3) - 2) - 3) + 3)/(-2(2sin(3π(1|x - 2| + 3) - 2) - 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(-3sin(3πx - 3) - 2) - 5)^2 - 3(1(-3sin(3πx - 3) - 2) - 5) - 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) = 2|(-3|(2sin(3πx - 2) - 3) - 1| + 3) - 2| - 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) = 5(3sin(1π(1x + 1) + 3) + 2)^2 - 5(3sin(1π(1x + 1) + 3) + 2) - 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) = -1cos(2π(2|(-3x^2 - 1x + 3) + 3| - 1) + 3) - 2 positive?

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


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

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


[User]
For the function f(x) = 3(2sin(2π(2|x - 3| + 2) - 3) + 3) - 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) = (-1((-2(-1sin(2πx + 1) - 2) + 3)/(-3(-1sin(2πx + 1) - 2))) + 1)/(1((-2(-1sin(2πx + 1) - 2) + 3)/(-3(-1sin(2πx + 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) = (1((-2(2sin(3πx - 1) + 3) + 1)/(2(2sin(3πx - 1) + 3))) + 1)/(-2((-2(2sin(3πx - 1) + 3) + 1)/(2(2sin(3πx - 1) + 3)))) 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) = 5(1|(-1cos(1πx + 3)) - 3| + 3)^2 + 5(1|(-1cos(1πx + 3)) - 3| + 3) + 5 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) = (2((1(1cos(3πx + 1) - 2) - 3)/(-1(1cos(3πx + 1) - 2) - 1)) - 2)/(3((1(1cos(3πx + 1) - 2) - 3)/(-1(1cos(3πx + 1) - 2) - 1)) + 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) = 1cos(3π(-2|(-3|x + 1| - 3) - 3| - 3) - 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(3|(2cos(2πx + 3) + 2) - 1| + 1)^2 + 1(3|(2cos(2πx + 3) + 2) - 1| + 1) + 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|(2cos(3πx) - 1) - 3| - 1) - 3)/(-2(-1|(2cos(3πx) - 1) - 3| - 1) - 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) = 1(-1cos(1π(2|x| + 3) + 2) + 3)^2 - 4(-1cos(1π(2|x| + 3) + 2) + 3) - 3 positive?

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


[User]
For the function f(x) = (2(-1(-2sin(3πx + 3))^2 + 1(-2sin(3πx + 3))) + 1)/(2(-1(-2sin(3πx + 3))^2 + 1(-2sin(3πx + 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(3cos(1πx - 2) + 2) + 2)/(2(3cos(1πx - 2) + 2) + 2)) + 2 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|(2cos(3π(-5x + 5) + 3) + 3) - 2| - 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) = 1(3|(1sin(3πx + 2) - 1) - 1| + 2) + 4 is strictly decreasing.

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


[User]
For the function f(x) = -3sin(3π(-5((-3x - 2)/(-2x - 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2cos(3π(1|(1|x + 1| - 3) - 3| + 1) + 1) - 3 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) = 4(-2cos(2π(-1x + 3) + 1) + 2) + 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) = -2cos(3π(-3(3|x - 1|))) 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) = -3sin(3π((-1(-3x^2 + 1x))/(-3(-3x^2 + 1x) - 1)) + 3) - 3 negative?

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


[User]
For the function f(x) = 5((2(1cos(2πx - 3)) - 1)/(2(1cos(2πx - 3)) - 3))^2 - 3((2(1cos(2πx - 3)) - 1)/(2(1cos(2πx - 3)) - 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) = -2sin(2π(4((-1x - 3)/(1x + 2)) + 1) - 1) - 2 positive?

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


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

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


[User]
For the function f(x) = -4(-2cos(2π(4x^2 - 1x - 1) + 3) + 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) = -3|(-3cos(1π((-2x + 3)/(2x + 3)) - 1) - 1) + 2| - 1 negative?

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


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

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


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

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


[User]
For the function f(x) = 2|(1|(3cos(3πx - 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) = 2|(-2(-1cos(2πx - 1) - 3) - 3) + 1| + 3 positive?

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


[User]
For the function f(x) = -1sin(1π(-5(-1x^2 - 3x + 1)^2 - 2(-1x^2 - 3x + 1) - 2) + 2) - 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) = -2|(-1sin(3π(-1|x + 1|) - 2) + 2) - 2| + 3 positive?

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


[User]
For the function f(x) = -1sin(1π(-5(1x)^2 + 1(1x) - 1) + 2) + 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) = -3(1|(-1cos(2πx + 1) - 3) - 1| - 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) = -3sin(3π(3(-2|x - 3| + 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) = 1sin(2π(3(2x - 5)^2 - 5(2x - 5)) + 3) 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) = 4(2sin(3π(3x^2 + 2x + 4) - 3) + 2)^2 + 1(2sin(3π(3x^2 + 2x + 4) - 3) + 2) - 3 is strictly increasing.

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


[User]
For the function f(x) = -3sin(2π(2(3|x - 2| + 1) + 1) + 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) = -4(4(3cos(2πx))^2 + 3(3cos(2πx)) + 1)^2 + 1(4(3cos(2πx))^2 + 3(3cos(2πx)) + 1) - 2 negative?

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


[User]
For the function f(x) = 4(-3|(-1sin(1πx + 1) + 2) - 1| - 1)^2 - 1(-3|(-1sin(1πx + 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]
For the function f(x) = -3(2cos(2π((-1x + 3)/(-1x + 2)) + 3))^2 - 4(2cos(2π((-1x + 3)/(-1x + 2)) + 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) = -1cos(3π(2(1x^2 - 2x - 5) + 4) + 3) positive?

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


[User]
For the function f(x) = 1(-2sin(1π(2x^2 + 3x) - 3) - 3)^2 - 4(-2sin(1π(2x^2 + 3x) - 3) - 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((3(2sin(1πx) + 1))/(-1(2sin(1πx) + 1) - 1)) + 2)/(2((3(2sin(1πx) + 1))/(-1(2sin(1πx) + 1) - 1)) + 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) = (3(-2sin(2π(-3x^2 - 4x - 1)) + 2) - 2)/(-3(-2sin(2π(-3x^2 - 4x - 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) = 4(1(-1sin(3πx - 2) + 1)^2 - 3(-1sin(3πx - 2) + 1) - 5) + 5 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) = -2sin(3π((2((-2x + 1)/(-1x - 3)) - 3)/(-3((-2x + 1)/(-1x - 3)) + 1)) - 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(-3sin(1π(-3|x + 3|)) - 3)^2 + 3(-3sin(1π(-3|x + 3|)) - 3) + 5 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) = -2(-1(2cos(2πx + 1) + 3)^2 + 1(2cos(2πx + 1) + 3) + 2)^2 + 2 negative?

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


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

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


[User]
For the function f(x) = 5(-3(-1sin(1πx + 3) + 1)^2 - 3(-1sin(1πx + 3) + 1) + 2)^2 + 1(-3(-1sin(1πx + 3) + 1)^2 - 3(-1sin(1πx + 3) + 1) + 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) = -1sin(2π((-1((-2x - 3)/(1x - 3)) + 3)/(-3((-2x - 3)/(1x - 3)) + 4)) + 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) = (2(2(1sin(2πx - 2) + 1)^2 - 2(1sin(2πx - 2) + 1) + 4) + 3)/(1(2(1sin(2πx - 2) + 1)^2 - 2(1sin(2πx - 2) + 1) + 4) + 2) negative?

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


[User]
For the function f(x) = -2sin(1π(-2|(3|x - 1|) + 3| + 2) + 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) = -1|(1(-2|x + 1| + 2)^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) = -2sin(3π(-4((-1x + 1)/(1x))^2 - 3((-1x + 1)/(1x)) + 4) - 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) = -3|(-3sin(2π((2x + 2)/(2x - 1)) - 1) - 2) + 1| - 2 negative?

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


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

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


[User]
For the function f(x) = 5(4(2sin(3πx) + 3) - 5)^2 - 4(4(2sin(3πx) + 3) - 5) + 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) = -2cos(1π((-2(2|x + 1| + 3) - 2)/(-1(2|x + 1| + 3) + 2))) - 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) = (1(1sin(3π(-3|x - 2| - 1) - 2) - 2) - 1)/(-3(1sin(3π(-3|x - 2| - 1) - 2) - 2) - 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) = -2sin(2π((2(-1|x - 3| + 2) + 1)/(-1(-1|x - 3| + 2))) + 2) + 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(1sin(3π(3x^2 - 1) - 3)) - 1 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) = -2|(-2sin(1π(2|x| + 3) - 3) - 2) + 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) = -3(2sin(2π(-5x - 2) - 3) + 2) - 5 positive?

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


[User]
For the function f(x) = -4(1|(1|x + 1| - 2)| - 2)^2 - 5(1|(1|x + 1| - 2)| - 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) = 3cos(3π(-1(1|x - 2| - 3) + 1) - 2) + 2 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|(3cos(3π((1x)/(-1x + 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) = -4(2|(3cos(3πx - 2) - 3) - 1| + 1) + 5 negative?

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


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

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


[User]
For the function f(x) = -2(3sin(1π(1x - 4) + 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(-2sin(2π(1x^2 + 5x + 2) - 1) + 3) + 2 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(3sin(3π(4x + 2) - 3) - 1) - 5 positive?

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


[User]
For the function f(x) = -3cos(2π((-1(1x - 2) + 3)/(1(1x - 2) + 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) = -1cos(1π(-5(-5x + 4)^2 + 4(-5x + 4) - 4) + 1) + 3 negative?

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


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

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


[User]
For the function f(x) = 4(-3cos(2π(4x^2 - 4x + 4) - 1) + 1)^2 - 3(-3cos(2π(4x^2 - 4x + 4) - 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]
For the function f(x) = 1|(3sin(2π(-1|x - 3| - 2) - 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) = -1sin(2π(-1|(-2|x - 2| + 2) - 3| - 3) - 3) - 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) = -2sin(3π(1((-2x + 3)/(-1x + 2)) + 2) - 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(-3sin(3π(1x - 5) + 3) + 3)^2 + 1(-3sin(3π(1x - 5) + 3) + 3) + 4 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) = 3sin(1π(-3|((2x - 2)/(-2x)) + 3| + 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) = 3cos(2π((1(2|x + 1| - 1) - 2)/(3(2|x + 1| - 1) + 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) = 1((-1(1cos(3πx + 1) - 1) + 1)/(2(1cos(3πx + 1) - 1) - 1))^2 + 1((-1(1cos(3πx + 1) - 1) + 1)/(2(1cos(3πx + 1) - 1) - 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) = -3sin(3π(-5(-1|x - 2| + 2)^2 - 3(-1|x - 2| + 2) + 3) + 1) - 2 is strictly increasing.

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


[User]
For the function f(x) = -2sin(3π(-5(1x^2 + 1x - 5) - 4) - 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(2π(2|(-2x^2 - 3x + 4) - 2|) - 3) - 2 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|(3|(-2sin(3πx - 1)) + 3| - 3) + 3| - 1 positive?

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


[User]
For the function f(x) = 2|(3sin(2π(5x - 3) + 2) - 2) + 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]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(1π((2(-1x^2 - 2x + 5) - 1)/(-3(-1x^2 - 2x + 5) + 4)) - 2) + 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) = 3sin(3π(1|(-2x - 4)| + 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) = -3cos(3π(-4(-2|x + 1|) - 2)) + 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) = -3sin(2π(-3(-1x^2 + 3) - 4) - 2) + 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) = -3cos(2π(2|(4x - 5) + 2|) - 3) is strictly increasing.

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


[User]
For the function f(x) = 5(-2cos(2π((-3x)/(-2x - 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]
For the function f(x) = 3sin(2π((3(4x - 5))/(1(4x - 5) + 2)) + 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) = -4(-1|(2sin(3πx - 2) - 3) + 3| + 2) + 1 negative?

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


[User]
For the function f(x) = -2|(3sin(1π(1x^2 + 4x - 4) - 1) + 3) + 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) = 2|((2(3cos(3πx + 1)) - 1)/(-1(3cos(3πx + 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(-3(-2cos(3πx - 3) + 3)^2 + 2(-2cos(3πx - 3) + 3) - 1) - 3)/(3(-3(-2cos(3πx - 3) + 3)^2 + 2(-2cos(3πx - 3) + 3) - 1) - 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(-2|x + 2| + 1)^2 - 1)^2 + 5(-3(-2|x + 2| + 1)^2 - 1) + 3 negative?

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


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

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


[User]
For the function f(x) = 2cos(1π(-3(-3x^2 + 2x - 2) - 5) - 2) + 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) = -3sin(2π(1((3x - 1)/(2x)) + 4) - 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) = -1|(-1sin(3π(2x - 5) - 3) - 3) - 1| - 2 positive?

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


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

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


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

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


[User]
For the function f(x) = -1cos(2π(2(1|x - 3|) + 4)) + 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) = -3(4(-1sin(1πx - 1) + 3) - 5)^2 + 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) = -4(3cos(2π(3|x - 3| + 2) + 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) = -2sin(3π(-3|(-1x + 5) + 3| + 2) - 3) - 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) = 2(-2sin(1π(1|x - 1| - 2) - 1) + 3) - 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) = -1cos(2π(-2|((-2x + 1)/(-2x)) + 1|) - 3) + 2 negative?

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


[User]
For the function f(x) = 1cos(1π(-1|(5x^2 + 4x - 1) - 2| - 3) - 2) + 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(-2sin(2π((-3x - 2)/(-1x + 2)) - 1) - 1) - 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) = 4(3(3cos(2πx + 3) - 2) + 1)^2 - 1(3(3cos(2πx + 3) - 2) + 1) + 2 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(5(-3cos(2πx) + 3)^2 + 5(-3cos(2πx) + 3) + 1) - 3)/(-1(5(-3cos(2πx) + 3)^2 + 5(-3cos(2πx) + 3) + 1) - 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) = 3sin(3π((1(2x - 3) + 3)/(-3(2x - 3) - 3)) - 1) - 1 is strictly increasing.

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


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

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


[User]
For the function f(x) = -2cos(2π(-2(1x) - 2) + 2) - 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) = -2|(3cos(3π(-3|x + 1| - 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) = -1(5(2cos(2πx + 2) - 2) - 4)^2 - 4(5(2cos(2πx + 2) - 2) - 4) + 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) = -1cos(2π(2|((1x)/(1x - 2)) - 3| + 3) + 3) + 1 negative?

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


[User]
For the function f(x) = -1cos(1π(2|(1|x + 2| + 2)| + 2) - 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) = 1|(-5(1sin(2πx) + 3) - 2)| + 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) = 2cos(2π(-1|(-1x^2 - 1x - 5) + 1| - 2) - 1) + 1 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(1sin(2π(-1x^2 - 3x + 4) - 2) - 2)^2 + 4(1sin(2π(-1x^2 - 3x + 4) - 2) - 2) + 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) = 1((2(3sin(2πx + 1) + 1))/(1(3sin(2πx + 1) + 1) - 2)) - 5 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) = -2(1cos(1π(-5x^2 + 3x - 1) - 3) - 1)^2 + 4(1cos(1π(-5x^2 + 3x - 1) - 3) - 1) + 3 is strictly increasing.

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


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

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


[User]
For the function f(x) = -3sin(3π((2(2|x + 1| - 2) - 3)/(2(2|x + 1| - 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3(4(-3sin(1πx) - 3) + 5) - 5 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(-3sin(3π(1|x - 2| + 1) + 3) + 2)^2 - 1(-3sin(3π(1|x - 2| + 1) + 3) + 2) - 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) = -2cos(2π(-3|(5x - 4) - 1| + 2)) + 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) = -1sin(2π(-5(-4x^2 + 3x - 1) - 3) + 3) + 1 negative?

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


[User]
For the function f(x) = 1(1(-3cos(2πx + 3) - 3)^2 - 2(-3cos(2πx + 3) - 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2cos(2π(-4(2|x - 1| + 2) + 5) - 1) + 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) = -3sin(1π(-5(1|x + 3| - 2)^2 - 2(1|x + 3| - 2) + 5) - 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) = 5(1(-3sin(1πx + 3)) - 1)^2 - 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) = 3((2(2sin(3πx + 1) - 1) - 1)/(-1(2sin(3πx + 1) - 1) - 2))^2 - 4((2(2sin(3πx + 1) - 1) - 1)/(-1(2sin(3πx + 1) - 1) - 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) = -3sin(1π(3(-4x)) - 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) = 3sin(2π((-2((2x + 3)/(1x - 2)) + 2)/(-2((2x + 3)/(1x - 2)) - 2)) + 2) + 2 positive?

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


[User]
For the function f(x) = 2|(-4(2x^2 - 2x - 2)^2 + 1(2x^2 - 2x - 2) + 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) = 2sin(2π(1|((2x)/(-2x + 3)) - 2| - 1) + 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) = -4(5(-1cos(2πx + 1))^2 + 4(-1cos(2πx + 1)) - 2)^2 + 3(5(-1cos(2πx + 1))^2 + 4(-1cos(2πx + 1)) - 2) - 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) = -2|(-2cos(1π((-2x + 3)/(2x - 1)) - 2) + 2) - 1| - 1 negative?

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


[User]
For the function f(x) = 1|((1(-1sin(1πx - 2) + 3) + 1)/(2(-1sin(1πx - 2) + 3) - 1)) + 2| + 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) = -1(2|(-1sin(2πx + 2)) - 1|)^2 + 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) = (-2(2(-3cos(3πx + 1) + 1)^2 - 1(-3cos(3πx + 1) + 1) - 5) + 3)/(3(2(-3cos(3πx + 1) + 1)^2 - 1(-3cos(3πx + 1) + 1) - 5) + 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) = -3|(2|(-3sin(1πx - 3) + 3) + 1| + 2) - 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 + 2) + 1) - 1)/(-2(-3sin(1πx + 2) + 1) + 3)) + 3)/(3((-1(-3sin(1πx + 2) + 1) - 1)/(-2(-3sin(1πx + 2) + 1) + 3)) - 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) = 5(-1sin(3π(-5x + 1) - 2) + 2)^2 + 5(-1sin(3π(-5x + 1) - 2) + 2) - 4 negative?

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


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

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


[User]
For the function f(x) = -1sin(1π(4(1|x - 2| - 3)^2 + 5(1|x - 2| - 3) + 4) + 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) = -1sin(1π(1(-4x^2 + 2x - 1)^2 + 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(3|(1cos(3πx) + 1) + 1| - 2)^2 - 3(3|(1cos(3πx) + 1) + 1| - 2) - 5 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) = -3sin(2π((1((-2x - 3)/(-1x - 2)) - 3)/(-1((-2x - 3)/(-1x - 2)) - 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) = (-2(2sin(3π(1x - 3) - 2) - 3) - 3)/(-2(2sin(3π(1x - 3) - 2) - 3) - 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) = -3(-2cos(1π(-2x + 3) - 2) + 3) - 1 positive?

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


[User]
For the function f(x) = 1sin(1π(-1(-1x + 3)^2 - 2(-1x + 3) - 2) - 2) - 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(3sin(2π(3x^2 + 1x - 1) + 1)) - 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) = -2cos(3π((1(3x^2 - 3x - 1))/(1(3x^2 - 3x - 1) + 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) = 2cos(2π(5((-3x)/(3x + 1)) - 2) - 3) - 3 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) = -3sin(2π(4(-4x^2 - 3x) - 5) + 3) + 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) = -4(1cos(2π(-3|x + 2| + 1) + 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) = (3(2(-3sin(1πx - 1) + 3)^2 - 4(-3sin(1πx - 1) + 3) - 4))/(-3(2(-3sin(1πx - 1) + 3)^2 - 4(-3sin(1πx - 1) + 3) - 4) - 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) = 3sin(3π(-3(5x^2 - 1x)^2 + 2(5x^2 - 1x) - 4) - 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) = -5(-1cos(1π(5x^2 + 1) - 1))^2 + 2(-1cos(1π(5x^2 + 1) - 1)) - 5 positive?

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


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

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


[User]
For the function f(x) = -3(-5(-3cos(3πx - 3) - 3)^2 + 5(-3cos(3πx - 3) - 3) - 5) + 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) = -3cos(3π(-1|(1x + 5) - 2|) + 2) - 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) = -2(-1(-2sin(2πx - 1))^2 + 2(-2sin(2πx - 1)) - 1) + 2 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) = (-2((2(-3cos(2πx + 2) + 3) - 2)/(-1(-3cos(2πx + 2) + 3) - 2)) - 2)/(-2((2(-3cos(2πx + 2) + 3) - 2)/(-1(-3cos(2πx + 2) + 3) - 2)) + 3) negative?

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


[User]
For the function f(x) = (2(-1sin(2π(-2x - 3) - 1) + 1) + 2)/(1(-1sin(2π(-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]
For the function f(x) = 2(-2(-3sin(2πx + 2) + 1) + 5)^2 + 1(-2(-3sin(2πx + 2) + 1) + 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(3sin(3π(-1|x| + 3) - 1) - 3) - 2)/(3(3sin(3π(-1|x| + 3) - 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(1π((1(-2|x - 2| + 1) - 2)/(-3(-2|x - 2| + 1) - 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) = 3(3|(1sin(2πx - 2)) + 1| + 3) - 2 positive?

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


[User]
For the function f(x) = 1cos(1π(1|(2|x - 2| - 1) + 1|) - 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) = -3cos(2π(1(-4x - 4) + 1) - 1) + 3 is strictly increasing.

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


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

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


[User]
For the function f(x) = 2cos(1π((1((-1x + 2)/(1x - 3)) - 1)/(1((-1x + 2)/(1x - 3)))) + 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) = 2(-1sin(1π(-1x^2 - 3x + 1)) + 3)^2 + 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) = -3(-1|(-2cos(1πx + 3) + 1) + 2| - 1)^2 + 2(-1|(-2cos(1πx + 3) + 1) + 2| - 1) + 5 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(2(3cos(3πx + 2)) - 4)^2 + 1(2(3cos(3πx + 2)) - 4) - 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) = -3(-1cos(3π((2x + 1)/(2x + 3)) + 3) - 2) - 5 positive?

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


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

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


[User]
For the function f(x) = -3((-1(-3cos(1πx + 2) + 2))/(-1(-3cos(1πx + 2) + 2) + 2))^2 - 3((-1(-3cos(1πx + 2) + 2))/(-1(-3cos(1πx + 2) + 2) + 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]
For the function f(x) = (-1(-1cos(3π(-1x^2 - 3x))))/(-1(-1cos(3π(-1x^2 - 3x))) + 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(-5(-1x^2 + 3x + 1)^2 - 5(-1x^2 + 3x + 1) + 5) - 3| - 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) = (-2(3cos(2π(3x^2 + 2x + 3) - 1) + 2) + 2)/(-2(3cos(2π(3x^2 + 2x + 3) - 1) + 2) + 3) positive?

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


[User]
For the function f(x) = 1sin(2π(-3|((2x - 2)/(-1x + 2)) + 3| + 2) + 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) = 2|((-3(1cos(2πx - 2) - 2) + 3)/(2(1cos(2πx - 2) - 2) + 3)) + 1| + 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) = 2(1sin(1π(-1|x + 2| + 3) + 1) - 3) + 2 is strictly increasing.

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


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

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


[User]
For the function f(x) = -3sin(2π((-2(3x + 5))/(-2(3x + 5) - 3)) - 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) = -5(-3(2cos(2πx)) - 5) - 5 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(-3cos(2π((3x - 3)/(-2x)) - 2) - 1) is strictly increasing.

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


[User]
For the function f(x) = -1|(1|(3sin(2πx + 3)) + 2| - 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) = -2(-3(2sin(2πx + 3) - 3) - 3)^2 + 5(-3(2sin(2πx + 3) - 3) - 3) + 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) = 5(-3(3sin(1πx + 2) - 1) + 5) - 4 negative?

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


[User]
For the function f(x) = -3(3cos(2π(2|x - 3| - 3) + 1) - 2)^2 + 4(3cos(2π(2|x - 3| - 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) = 5(-3cos(2π(-1x - 4) - 3))^2 - 3(-3cos(2π(-1x - 4) - 3)) + 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) = 1(1sin(2π(3|x + 3| - 2) - 1) + 3) - 3 negative?

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


[User]
For the function f(x) = 2|(1(-2sin(3πx + 1) - 1)^2 - 4(-2sin(3πx + 1) - 1) - 2) - 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) = 1(-5(-2sin(1πx + 1) - 2)^2 + 2(-2sin(1πx + 1) - 2) + 4) + 3 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) = (-2(1cos(1π(-1x^2 + 1x + 1) - 3) - 2) + 1)/(-1(1cos(1π(-1x^2 + 1x + 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|(4(-2sin(2πx - 3) + 2)^2 - 1(-2sin(2πx - 3) + 2) + 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) = 1cos(3π(-2(-5x + 5)) - 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) = -3(2|(2sin(2πx) + 1)| + 1) - 3 negative?

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


[User]
For the function f(x) = -2cos(3π((-1((2x + 2)/(3x - 2)) - 3)/(2((2x + 2)/(3x - 2)) + 2)) + 2) - 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) = (3(-2cos(3π(-1x^2 + 4x) + 2) + 1) + 1)/(-1(-2cos(3π(-1x^2 + 4x) + 2) + 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) = 4((-1(3sin(3πx + 3)) - 1)/(-2(3sin(3πx + 3)) - 1))^2 - 4((-1(3sin(3πx + 3)) - 1)/(-2(3sin(3πx + 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]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 4(-2cos(1π(3|x - 1| + 1) - 3) + 3)^2 + 4(-2cos(1π(3|x - 1| + 1) - 3) + 3) 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) = 3cos(2π(1(3x^2 + 2)^2 - 3(3x^2 + 2) + 1) + 1) + 3 is strictly increasing.

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


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

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


[User]
For the function f(x) = 1|((1(3sin(2πx - 3) - 3) - 3)/(2(3sin(2πx - 3) - 3) - 1)) + 2| + 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) = 2|(-4(-1cos(1πx + 1) + 1)^2 - 1(-1cos(1πx + 1) + 1) + 2) - 2| + 1 negative?

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


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

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


[User]
For the function f(x) = -2(-3cos(1π((-1x - 2)/(3x + 1)) - 3) + 3)^2 + 3(-3cos(1π((-1x - 2)/(3x + 1)) - 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) = -1(-1cos(3π(-1|x + 2| - 1) - 2) + 1)^2 + 1(-1cos(3π(-1|x + 2| - 1) - 2) + 1) + 2 is strictly increasing.

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


[User]
For the function f(x) = -3(-1|(-1sin(3πx + 3) + 2) - 1| + 2) + 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) = 1sin(2π(-5(3|x + 2| + 3)^2 - 4(3|x + 2| + 3)) + 2) + 2 positive?

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


[User]
For the function f(x) = 2(1sin(2π(-1|x + 1| + 3)) + 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]
For the function f(x) = -5(1cos(2π(4x^2 + 1) + 2))^2 + 2(1cos(2π(4x^2 + 1) + 2)) + 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) = 2(-2cos(2π(-1x^2 - 4x) + 1)) - 4 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(1π((-1(2|x + 1|) + 3)/(-1(2|x + 1|) + 2)) + 2) - 3 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) = -1cos(3π((-3(4x + 1) - 3)/(-3(4x + 1))) + 2) - 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) = 1cos(3π((2(2x^2 - 2x) + 3)/(-1(2x^2 - 2x) + 2))) - 3 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(2cos(1π(1x + 4) + 2) - 1)^2 - 5(2cos(1π(1x + 4) + 2) - 1) - 2 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) = 3(2cos(2π(3|x + 1| + 3) + 3) - 1) - 3 negative?

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


[User]
For the function f(x) = -2cos(3π(3|((-2x + 2)/(1x + 2)) - 3| - 3) + 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]
For the function f(x) = 2sin(3π(-4((-2x + 3)/(3x - 2)) - 1) - 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]
For the function f(x) = 3|(-3(3sin(3πx + 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]
For the function f(x) = -5(-1cos(3π(-4x^2 - 4x - 3) - 2))^2 - 2(-1cos(3π(-4x^2 - 4x - 3) - 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]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1|(2|(3cos(2πx - 1) + 1) + 1| - 3) - 1| - 3 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|(2sin(1π(-1x^2 + 4x + 2) - 3) + 1) - 2| + 3 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) = -4(-2sin(2π(4x + 1) - 1) - 2) 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) = -1|(2(-1sin(2πx + 3) - 3)^2 - 1(-1sin(2πx + 3) - 3))| + 1 is strictly increasing.

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


[User]
For the function f(x) = -2|(-2(4x^2 + 4x - 5)^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) = -1sin(1π(2(1x + 3)^2 - 5(1x + 3) + 4) - 2) - 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) = 2(1(-3cos(3πx) + 3) + 2)^2 + 5(1(-3cos(3πx) + 3) + 2) + 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) = -3(1sin(3π(-1x - 3)) - 2)^2 + 5(1sin(3π(-1x - 3)) - 2) - 5 is strictly decreasing.

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


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

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


[User]
For the function f(x) = -3(-2(-3x^2 + 3x + 2)^2 - 4(-3x^2 + 3x + 2) - 1)^2 - 1(-2(-3x^2 + 3x + 2)^2 - 4(-3x^2 + 3x + 2) - 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]
For the function f(x) = -3sin(3π(5((2x - 2)/(2x + 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(2π(-1(2x - 4) + 5) + 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) = 2|(-2(-1cos(1πx - 3)) + 4)| - 3 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) = (-2((3(3sin(2πx - 1) + 2) - 3)/(3(3sin(2πx - 1) + 2) - 1)) - 1)/(1((3(3sin(2πx - 1) + 2) - 3)/(3(3sin(2πx - 1) + 2) - 1)) + 3) 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|(-1|(2|x + 1| - 2)| + 1)| - 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) = -4(-1|(1sin(1πx - 3) - 2) + 3| + 1)^2 - 1(-1|(1sin(1πx - 3) - 2) + 3| + 1) + 5 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) = -1(1cos(1π(2|x - 3| + 2) + 3) + 2) + 3 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) = -2|(-2cos(1π(-2x^2 + 3x - 4) - 3)) + 1| - 1 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) = 1sin(1π(-2|((1x - 3)/(3x - 2)) + 1| + 3) + 2) + 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) = -1|(2sin(1π(-5x + 2) - 1) - 1) - 1| + 3 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(-2cos(3π(-3x) + 3) + 3))/(3(-2cos(3π(-3x) + 3) + 3) + 1) 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) = 4((-2(-3sin(2πx + 2) + 2) + 2)/(2(-3sin(2πx + 2) + 2) - 1))^2 - 1((-2(-3sin(2πx + 2) + 2) + 2)/(2(-3sin(2πx + 2) + 2) - 1)) - 4 negative?

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


[User]
For the function f(x) = 1(3|(-2|x + 3| + 3) + 3|)^2 - 4(3|(-2|x + 3| + 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) = 2|(1(1sin(2πx + 2) + 2) + 4) + 3| - 1 is strictly increasing.

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


[User]
For the function f(x) = -5(-2sin(3π(4x - 3) + 1) - 2)^2 - 1(-2sin(3π(4x - 3) + 1) - 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) = -3(3cos(3π((2x + 1)/(1x)) + 1) + 3) + 1 negative?

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


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

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


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

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


[User]
For the function f(x) = -3(-3sin(3π(-1x^2 - 5x) + 2) - 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) = (2(-5(-3cos(3πx - 1)) + 4) - 1)/(3(-5(-3cos(3πx - 1)) + 4) - 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(-2(1cos(1πx - 3) - 3)^2 - 4(1cos(1πx - 3) - 3) - 1)^2 - 1(-2(1cos(1πx - 3) - 3)^2 - 4(1cos(1πx - 3) - 3) - 1) negative?

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


[User]
For the function f(x) = -2|(1|(1cos(2πx + 3) - 3) + 3| - 2) - 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(-5(-2cos(1πx + 2) + 3) - 4) + 1)/(1(-5(-2cos(1πx + 2) + 3) - 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) = 3cos(1π(3|((-2x - 3)/(-3x))| - 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(2|(1cos(1πx - 2) - 2) - 2| + 1) + 5 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) = 2cos(2π(4((3x - 3)/(-1x + 2))^2 + 4((3x - 3)/(-1x + 2)) - 3) - 2) + 2 is strictly decreasing.

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


[User]
For the function f(x) = -3|(-1|(1x^2 - 5x) - 1| + 2)| + 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) = 1(-1cos(1π(4x^2 + 5x - 5) + 1) - 2)^2 - 5(-1cos(1π(4x^2 + 5x - 5) + 1) - 2) - 5 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) = 4(-2sin(2π(-4x) - 3) + 3) + 2 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(3π(-4(3x^2 + 1x - 1) + 2) + 2) + 2 positive?

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


[User]
For the function f(x) = 1(1(3sin(1πx + 2) + 2)^2 + 4(3sin(1πx + 2) + 2) - 2) + 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|(-1cos(1πx + 3) - 2) + 2| + 3) + 5 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) = 2((-3(-3sin(3πx + 2) + 1) - 1)/(1(-3sin(3πx + 2) + 1)))^2 - 4((-3(-3sin(3πx + 2) + 1) - 1)/(1(-3sin(3πx + 2) + 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) = (-3((-1(-1sin(2πx - 2) - 3) + 2)/(2(-1sin(2πx - 2) - 3) + 2)) - 2)/(-2((-1(-1sin(2πx - 2) - 3) + 2)/(2(-1sin(2πx - 2) - 3) + 2)) - 2) is strictly decreasing.

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


[User]
For the function f(x) = 1(-3cos(1π(1x + 2) + 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(1π(3(2|x - 2| + 1) - 2) + 2) 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) = -1sin(1π(-2|(-5x + 2) + 2| - 2) - 2) + 2 positive?

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


[User]
For the function f(x) = 1(1sin(2π((-1x + 3)/(-3x + 2)) + 1) + 1)^2 - 4(1sin(2π((-1x + 3)/(-3x + 2)) + 1) + 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]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(-1|(2cos(2πx + 2) + 2) - 1| - 2) + 1| + 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) = -1|(-3(3sin(2πx))^2 + 2(3sin(2πx)) - 1) - 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) = (2(-1(-3cos(1πx + 1) - 2)^2 + 2(-3cos(1πx + 1) - 2) + 1) + 2)/(-3(-1(-3cos(1πx + 1) - 2)^2 + 2(-3cos(1πx + 1) - 2) + 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) = 2cos(3π((-2(1x^2 - 5x - 2) + 1)/(2(1x^2 - 5x - 2))) + 1) + 2 negative?

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


[User]
For the function f(x) = (1(-1sin(2π(5x - 5) + 1) - 1) + 1)/(1(-1sin(2π(5x - 5) + 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) = 3|(5(5x^2 - 1)^2 - 2(5x^2 - 1) - 1)| + 3 is strictly decreasing.

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


[User]
For the function f(x) = -1|(2cos(3π(-2|x + 2| - 2) + 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(2sin(2π(-1|x - 2| + 2) + 3) - 3) + 1)/(-1(2sin(2π(-1|x - 2| + 2) + 3) - 3) - 1) positive?

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


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

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


[User]
For the function f(x) = (-3(1sin(3π(-3x^2 - 3x + 5) + 2) + 2) - 3)/(-2(1sin(3π(-3x^2 - 3x + 5) + 2) + 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) = 4(1(-2sin(3πx - 1) - 2)^2 + 3(-2sin(3πx - 1) - 2) - 5)^2 - 3(1(-2sin(3πx - 1) - 2)^2 + 3(-2sin(3πx - 1) - 2) - 5) + 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) = -2cos(3π(-2|(2x^2 - 4x) + 3|) - 3) 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) = 2(-1sin(3π(4x + 2) + 3) + 1)^2 - 1(-1sin(3π(4x + 2) + 3) + 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) = (-1(1|(1cos(3πx) + 1) + 3| - 1) + 1)/(1(1|(1cos(3πx) + 1) + 3| - 1) - 3) 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) = 3sin(3π(2|(1x^2 - 4x + 3) + 2| - 3)) + 2 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) = 3cos(1π(5(2|x - 1| - 1) + 2) - 3) - 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) = 2cos(2π(2|(1x^2 - 5x - 3) + 2|) - 2) - 2 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) = (-3(3cos(1π(1|x| + 1))) - 1)/(2(3cos(1π(1|x| + 1))) - 1) is strictly decreasing.

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


[User]
For the function f(x) = -2cos(2π(3(-3x^2 + 5x + 3) + 1) + 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) = -2(-2cos(3π(2|x + 3|) + 1) - 2)^2 - 1(-2cos(3π(2|x + 3|) + 1) - 2) + 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) = -5(4(-2sin(2πx + 1) - 1)^2 + 2(-2sin(2πx + 1) - 1) - 2) - 3 negative?

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


[User]
For the function f(x) = (-3((2(3sin(2πx - 3) - 1) - 2)/(3(3sin(2πx - 3) - 1) - 1)) + 3)/(2((2(3sin(2πx - 3) - 1) - 2)/(3(3sin(2πx - 3) - 1) - 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) = -1cos(3π(3(1x + 2)^2 + 3(1x + 2) - 4)) + 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) = 1sin(2π(-3(4x - 4)^2 - 1(4x - 4) + 3) - 1) + 1 is strictly decreasing.

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

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

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

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

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

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[User]
For the function f(x) = (-2(-1sin(1π(-2x)) - 2) + 3)/(2(-1sin(1π(-2x)) - 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(1|((3x + 2)/(-2x + 3)) - 1| - 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) = -1cos(2π(-3|(-2x^2 - 2x - 3) - 3| - 2) + 1) - 1 negative?

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[User]
For the function f(x) = 3|(-2sin(3π(1x - 5) + 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) = -3(4(1sin(3πx - 3) + 3)^2 + 2(1sin(3πx - 3) + 3) - 3) + 3 is strictly decreasing.

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[User]
For the function f(x) = 2|(3sin(2π(1x - 5) - 1) - 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) = -1cos(2π(2|(-1x^2 + 5x - 1) - 2| - 1) + 3) + 1 is strictly decreasing.

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[User]
For the function f(x) = -1(5(-2sin(2πx + 1) - 1) + 4)^2 - 1(5(-2sin(2πx + 1) - 1) + 4) - 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) = -2(1(2sin(3πx - 1)) - 4)^2 - 5(1(2sin(3πx - 1)) - 4) - 1 is strictly decreasing.

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[User]
For the function f(x) = 2cos(1π(4(1x^2 + 5x + 2)^2 + 3(1x^2 + 5x + 2) - 4) - 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) = (3(-1sin(2π(-5x^2 + 4x + 2) - 2) + 2) - 1)/(3(-1sin(2π(-5x^2 + 4x + 2) - 2) + 2)) is strictly increasing.

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[User]
For the function f(x) = -2|(1(1sin(3πx - 3) + 1)^2 + 5(1sin(3πx - 3) + 1) + 1) + 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 - 2) - 1) + 1) - 2| + 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(-5(2cos(3πx - 1) - 3) - 2) - 1)/(3(-5(2cos(3πx - 1) - 3) - 2) - 2) positive?

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[User]
For the function f(x) = 3cos(3π(-2(4x^2 - 2x - 5) - 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) = (3(2cos(1π(-2|x + 3| + 1)) + 3) + 3)/(-1(2cos(1π(-2|x + 3| + 1)) + 3) + 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(-2(1x^2 + 4x - 2)^2 - 3(1x^2 + 4x - 2) + 2)^2 - 2(-2(1x^2 + 4x - 2)^2 - 3(1x^2 + 4x - 2) + 2) - 2 negative?

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

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[User]
For the function f(x) = 2|(2sin(3π(-1x^2 + 3x + 3) + 2) - 3)| - 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) = -3cos(2π((-1(-1x^2 + 5x + 5) + 2)/(1(-1x^2 + 5x + 5) - 3)) - 1) + 3 negative?

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


[User]
For the function f(x) = 1|(3(-2|x - 1| + 1)^2 + 3(-2|x - 1| + 1) - 2) + 2| + 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(1(-1sin(2πx - 1))^2 + 4(-1sin(2πx - 1)) - 4)^2 - 4(1(-1sin(2πx - 1))^2 + 4(-1sin(2πx - 1)) - 4) + 1 positive?

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

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

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

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[User]
For the function f(x) = 4(2sin(1π(1x^2 - 3x - 5) - 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) = 2cos(3π((2(-1x) + 1)/(1(-1x) - 2)) + 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) = 1|(-3cos(2π(4x - 1) - 2) + 2) - 2| - 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(2cos(1π((-1x + 3)/(2x)) - 3))^2 - 3(2cos(1π((-1x + 3)/(2x)) - 3)) + 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(-2sin(1π(-1|x - 3| + 2) + 1) - 1)^2 + 4(-2sin(1π(-1|x - 3| + 2) + 1) - 1) - 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) = -2|(1sin(2π((-3x + 1)/(-3x - 2)) - 1) + 2) - 2| - 3 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) = 3cos(3π(-2(3x^2 - 2x - 1) + 5)) + 3 is strictly decreasing.

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

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

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


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

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


[User]
For the function f(x) = 2cos(2π(1((-1x + 1)/(-1x)) + 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) = 1cos(1π(-4(-4x - 4) - 2) - 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) = -2|(-1(1sin(3πx) - 2)^2 + 4) - 2| + 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) = 1(2|(-2cos(3πx + 3) - 2) - 3| + 3)^2 - 5(2|(-2cos(3πx + 3) - 2) - 3| + 3) + 4 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) = 1cos(3π(2(-2x + 2) - 3) - 3) + 1 is strictly decreasing.

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[User]
For the function f(x) = -2cos(3π(1(-2x^2 + 3x)^2 + 4(-2x^2 + 3x) - 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]
For the function f(x) = -3cos(1π(-1((-2x - 2)/(3x + 2))^2 - 5((-2x - 2)/(3x + 2))) + 3) + 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) = -3|(1cos(2π((3x - 3)/(2x + 3)) + 3) + 3) + 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) = 1|(-1cos(2π(1x + 5) + 2)) - 1| - 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) = -2|(3(1sin(2πx - 3) - 1) - 5) - 3| - 3 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) = -2(1cos(1π(2x - 3) + 1) - 3) - 4 is strictly decreasing.

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


[User]
For the function f(x) = (2(2(-1cos(2πx + 3) + 3) + 5) - 1)/(-1(2(-1cos(2πx + 3) + 3) + 5) + 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(2π(3|x + 2| + 3) - 2) + 2) - 1)/(-2(-2cos(2π(3|x + 2| + 3) - 2) + 2) + 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) = -3cos(3π(1(-5x - 3)^2 - 1(-5x - 3) - 5) + 2) - 2 is strictly increasing.

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