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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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


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

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


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

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

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


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

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

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

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

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

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


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

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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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


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

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

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

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

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

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


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

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

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

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


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

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

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

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

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

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

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

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

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

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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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


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

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

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

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

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

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

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