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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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