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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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

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


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

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

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

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

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


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

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

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

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

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


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

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

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

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


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

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

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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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


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

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

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

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

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

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

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

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

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


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

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

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


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

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

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


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

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

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

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

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

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