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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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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 - 1| - 1)^2 - 5(2|x - 1| - 1) - 3) - 2) - 1) + 3)/(1(2sin(1π(1(2|x - 1| - 1)^2 - 5(2|x - 1| - 1) - 3) - 2) - 1) - 2) positive?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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