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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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

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


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

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


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

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

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

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

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


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

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

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

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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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


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

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


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

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


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

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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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