[User]
Find the number of local maximum points for f(x) = -1(-1|(3sin(2πx - 3) - 3) - 1| + 1) + 1 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -2(-5(3sin(1πx - 1) + 2)^2 + 3(3sin(1πx - 1) + 2) + 1) - 2 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = 3((3((3x + 3)/(1x + 1)))/(-1((3x + 3)/(1x + 1)) - 1)) + 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = (-2(4(1sin(3πx - 3) + 3) + 2) - 2)/(1(4(1sin(3πx - 3) + 3) + 2) + 3) in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = (2(1|(-1cos(3πx - 1)) - 1|))/(2(1|(-1cos(3πx - 1)) - 1|) - 1) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -1cos(1π(2((-3x)/(-2x - 3))) + 1) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -1(-3|(1sin(2πx - 3) + 1) + 3| + 2)^2 - 1(-3|(1sin(2πx - 3) + 1) + 3| + 2) - 4 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1(-1sin(2π(1x^2 - 5x) + 2) + 2)^2 + 1(-1sin(2π(1x^2 - 5x) + 2) + 2) have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 5((-1(2cos(3πx - 1) - 1) + 3)/(1(2cos(3πx - 1) - 1)))^2 + 1((-1(2cos(3πx - 1) - 1) + 3)/(1(2cos(3πx - 1) - 1))) + 1 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = -1sin(1π(5(4x + 1)^2 - 3(4x + 1) - 3) + 1) where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 3|((2(2sin(3πx + 1)) - 3)/(2(2sin(3πx + 1)) + 2)) + 3| - 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 2(-1cos(3π((-2x + 2)/(2x + 1)) + 2) - 1) + 1 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = 5(3|(1sin(2πx - 3) + 2) + 1| - 2)^2 + 5(3|(1sin(2πx - 3) + 2) + 1| - 2) - 2 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -1(-3cos(1π(-4x + 1) - 1)) - 1 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -1(-1sin(2π(-5x^2 + 4x + 2) - 2) + 2) + 2 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -3|(-1sin(1π(5x - 3) - 2) - 1) + 2| - 3 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 4(2sin(3π(3|x + 3| - 2)) - 3) - 5 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1(1cos(3π(3x + 5)) + 2) + 4 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -3(-1cos(3π(1|x - 1| - 2) - 1) + 1) + 5 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -1sin(1π(-1(1x^2 + 5x - 1)) - 3) + 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -5(-2cos(1π(-4x - 5) + 2))^2 - 5(-2cos(1π(-4x - 5) + 2)) + 3 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -2(2(-1x^2 - 5x - 2)^2 - 5(-1x^2 - 5x - 2) - 1)^2 - 2(2(-1x^2 - 5x - 2)^2 - 5(-1x^2 - 5x - 2) - 1) - 2 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -1(3cos(3π(-2|x - 1| + 1) + 2) + 2)^2 + 2(3cos(3π(-2|x - 1| + 1) + 2) + 2) + 1 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -3(-3cos(2π(1x - 1) - 2) + 2)^2 + 5(-3cos(2π(1x - 1) - 2) + 2) + 2 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -2(5(1sin(3πx) + 2) + 3) + 5 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = -5(2sin(3π(1x + 1) + 2) + 3)^2 + 1(2sin(3π(1x + 1) + 2) + 3) + 5 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = -1(-3|(-3cos(1πx + 1) - 3) - 1| - 3) + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = 3((1(2cos(2πx) - 3) + 1)/(3(2cos(2πx) - 3) + 1)) - 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 1|(1cos(2π(4x + 1) + 1) - 2) + 3| in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = 2sin(2π(3|(-5x^2 - 2x + 4) - 2|) - 1) + 1 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -3sin(2π(1(-2|x - 3| - 1)^2 - 4(-2|x - 3| - 1) + 3) + 1) - 3 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 2|(1sin(2π(2|x + 1| + 1)) - 2)| - 1 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 1sin(3π(3((-1x + 1)/(3x + 2)) + 2) - 2) - 3 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = (3(3(1sin(2πx + 1) + 2) + 4) + 3)/(-3(3(1sin(2πx + 1) + 2) + 4) + 4) in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -1sin(1π(-3|((3x)/(-3x + 1))| + 3) + 2) + 1 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -3|(-3|(-1cos(2πx + 1) - 1) - 3|) - 1| + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 1cos(2π((-1(-1|x + 1|) + 2)/(1(-1|x + 1|) + 2)) + 1) + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 3(-3cos(1π(3x^2 + 1x + 1) - 1) + 1)^2 - 3(-3cos(1π(3x^2 + 1x + 1) - 1) + 1) - 1 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = (1(-1|(3cos(1πx - 3) + 1) - 2| + 3) + 3)/(1(-1|(3cos(1πx - 3) + 1) - 2| + 3)) where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1cos(3π(-3(-1x)^2 - 5(-1x) + 5) - 2) - 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -2(-2sin(3π(-5x^2 + 4x - 4) - 1) - 1)^2 - 4(-2sin(3π(-5x^2 + 4x - 4) - 1) - 1) - 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3(-4(-1x^2 - 5x - 3)^2 - 4(-1x^2 - 5x - 3) + 1)^2 - 3(-4(-1x^2 - 5x - 3)^2 - 4(-1x^2 - 5x - 3) + 1) - 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = 3cos(1π(3|(1x^2 + 3x + 4) - 3|) + 2) - 1 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = (-2(-1|(3sin(3πx - 2) - 1) + 1| + 2) - 2)/(2(-1|(3sin(3πx - 2) - 1) + 1| + 2) - 1) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = -1(-3sin(1π(3x^2 - 5x) - 1) - 1) + 3 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -2|(2e^(1(-3|x + 1|))) - 1| - 2 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -1(-1sin(3π(2|x| + 1) - 2) - 3)^2 + 1(-1sin(3π(2|x| + 1) - 2) - 3) - 3 in the interval [-10, 10].

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