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

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


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

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


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

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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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


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

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

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


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

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

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


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

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

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

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

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

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


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

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

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

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


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

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


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

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


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

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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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


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

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


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

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


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

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

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

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

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


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

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


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

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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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

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


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

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

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

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

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


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

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

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

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

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

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

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

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


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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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