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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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


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

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

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

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


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

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


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

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


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

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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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


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

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

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

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


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

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


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

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

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

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

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


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

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


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

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

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

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

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

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

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

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


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

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

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

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


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

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

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

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

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

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

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

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

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


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

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


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

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

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

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

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


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

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

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

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

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


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

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

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

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

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


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

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

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


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

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


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

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


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

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

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


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

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


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

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

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

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

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


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

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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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