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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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


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

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

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

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

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


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

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

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

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

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

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