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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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