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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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