[User]
Find the number of local maximum points for f(x) = -2(-2cos(1π((2x)/(-2x + 1)) - 3) + 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) = 2(4(-1cos(3πx + 1) + 2) - 2) + 1 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -3sin(2π((-3(-2|x - 1| + 1) - 1)/(1(-2|x - 1| + 1) + 1)) - 1) - 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) = (-3((3(3sin(1πx - 2) + 3) - 2)/(2(3sin(1πx - 2) + 3) + 2)) + 1)/(-2((3(3sin(1πx - 2) + 3) - 2)/(2(3sin(1πx - 2) + 3) + 2)) + 1) have 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) = -3e^(-1(5(-1|x + 2| + 3)^2 + 4(-1|x + 2| + 3) - 4)) 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) = 3cos(1π((2((1x - 2)/(-1x - 1)) - 3)/(-1((1x - 2)/(-1x - 1)) - 1)) + 3) + 1 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|(-3e^(1(5x + 2)) - 2)| + 1 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(3sin(3π(-4x^2 + 1x - 1) - 3) + 1) + 2)/(-3(3sin(3π(-4x^2 + 1x - 1) - 3) + 1) - 1) 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(3π(-2|x - 2| - 3)) + 1)^2 - 1(-2cos(3π(-2|x - 2| - 3)) + 1) - 3 in the interval [-10, 10].

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


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

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


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

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


[User]
How many local minima does the function f(x) = 2|(1cos(2π(1x^2 + 4x - 5) - 2)) + 3| 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) = -1(-1(1sin(2πx + 3) - 3) - 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) = (3(-5(2e^(-2x) + 3)^2 - 3(2e^(-2x) + 3) + 2) - 2)/(-3(-5(2e^(-2x) + 3)^2 - 3(2e^(-2x) + 3) + 2) - 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) = -1sin(1π(4(3x - 5) + 5) - 1) + 2 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) = (-3(-2cos(1π(2x - 5) + 2) - 3) + 1)/(-2(-2cos(1π(2x - 5) + 2) - 3) - 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) = -2cos(1π(3(-3x^2 + 2x + 2)^2 + 4(-3x^2 + 2x + 2)) - 2) in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 3(2|(2x^2 + 2x - 5) + 2|)^2 - 3(2|(2x^2 + 2x - 5) + 2|) - 5 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) = 1(5(-2cos(3πx + 1) + 1)^2 - 1(-2cos(3πx + 1) + 1) - 2) + 4 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) = 1cos(3π(2|(3x + 1)| - 2) - 2) - 3 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) = 2cos(3π(3|((-3x + 2)/(3x - 1))|) - 1) + 2 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(3sin(3π((-2x - 1)/(1x - 2)) - 1) + 3) - 1)/(-1(3sin(3π((-2x - 1)/(1x - 2)) - 1) + 3) - 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) = (1(-3|(-3cos(1πx + 3) + 1) - 1| + 2) - 1)/(-3(-3|(-3cos(1πx + 3) + 1) - 1| + 2) + 2) in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -1cos(2π(-1(-1x + 1)^2 - 4(-1x + 1)) - 3) - 1 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) = 2(-2sin(1π(-1x + 1) + 3)) 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(3π((-2x - 3)/(-1x - 1)) - 2) + 2) + 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) = -4(3cos(1π(-3|x - 1| - 2) + 2) + 1)^2 - 3(3cos(1π(-3|x - 1| - 2) + 2) + 1) - 2 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) = (-1(-2cos(2π((2x)/(-2x + 3)))) - 1)/(2(-2cos(2π((2x)/(-2x + 3)))) - 1) 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(2cos(1π((-2x)/(3x + 2)) + 1) + 2)^2 - 3(2cos(1π((-2x)/(3x + 2)) + 1) + 2) - 5 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) = (-1(-3sin(3π(2|x| - 2)) + 3) + 2)/(3(-3sin(3π(2|x| - 2)) + 3) + 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(2(-3sin(1πx + 1) - 2) - 4)^2 - 5(2(-3sin(1πx + 1) - 2) - 4) 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) = 3sin(1π(2|(-3x^2 + 1) - 3| + 2) + 1) - 2 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) = 3sin(3π(1(-1x^2 - 1x - 2)^2 + 5(-1x^2 - 1x - 2) - 4) + 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) = 3cos(1π(-2(3|x - 3| - 2) + 4) - 3) + 3 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 3|(-3sin(1π((2x - 2)/(2x - 1)) - 2) - 3) - 2| + 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) = -2e^(-1(3|(5x^2 + 5x - 1) - 1| - 3)) - 3 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) = 2(-5(-2sin(3πx + 1))^2 - 4(-2sin(3πx + 1)) - 2) - 4 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) = (-3((3(1cos(2πx) - 1) - 2)/(-2(1cos(2πx) - 1) + 3)) - 1)/(-3((3(1cos(2πx) - 1) - 2)/(-2(1cos(2πx) - 1) + 3)) + 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) = 1cos(1π((-2(-3|x + 1| + 1))/(-2(-3|x + 1| + 1) + 1)) - 2) + 1 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(2e^(-1(2x^2 - 1x + 1)) - 3) + 1)/(-3(2e^(-1(2x^2 - 1x + 1)) - 3) + 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(2(4x^2 + 2x + 5) - 4) - 3) + 2 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) = -2|(1sin(1π(1|x| + 3) - 3) - 3) - 3| - 2 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) = 3(-1cos(3π(4x^2 + 1x + 5))) - 2 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(3sin(3π((-2x + 3)/(-3x + 1)) - 2) - 1) + 3)/(1(3sin(3π((-2x + 3)/(-3x + 1)) - 2) - 1) + 2) have 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) = -1(-1cos(2π(-3x)) - 2)^2 - 4(-1cos(2π(-3x)) - 2) + 4 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|(-3(2cos(1πx + 3) + 1)^2 - 1(2cos(1πx + 3) + 1) + 4) - 1| + 3 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|(-4(-1cos(3πx - 3) - 3)^2 + 4(-1cos(3πx - 3) - 3) - 3) - 1| + 2 have in the interval [-10, 10]?

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


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

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


[User]
How many local maxima does the function f(x) = 5(-3cos(1π(-1x - 1) + 3) + 3) - 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) = 5(-3cos(3π(2x^2 + 3x - 4) + 2) + 2)^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) = 4(3(1sin(3πx + 2) - 1)^2 + 1(1sin(3πx + 2) - 1) + 4) + 4 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) = -3sin(1π(-3(3|x + 3| - 3)^2 - 2(3|x + 3| - 3) - 3) - 3) + 2 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) = 5(1(-2x^2 - 1)^2 + 4(-2x^2 - 1))^2 - 4(1(-2x^2 - 1)^2 + 4(-2x^2 - 1)) - 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) = 2|(-1cos(2π((-3x - 1)/(3x + 3)) + 2) + 1) - 3| - 3 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) = 1(5(1cos(1πx - 3) - 3) + 1)^2 - 4(5(1cos(1πx - 3) - 3) + 1) - 4 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) = (2(-2cos(2π(1x^2 + 1x + 3) + 1) - 2) - 2)/(2(-2cos(2π(1x^2 + 1x + 3) + 1) - 2) + 3) 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(-2cos(3π(4x + 2) + 1) - 2) - 5 have 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) = 5(-4(1cos(1πx + 3) - 3) + 3)^2 + 5(-4(1cos(1πx + 3) - 3) + 3) + 3 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(-2cos(1π(-5x + 4) + 3) + 3))/(3(-2cos(1π(-5x + 4) + 3) + 3) - 2) 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) = -1(1cos(3π(3x - 3) - 1) + 2)^2 - 5(1cos(3π(3x - 3) - 1) + 2) - 5 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 1(-2|(2sin(2πx - 2) - 3)| - 3) + 3 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) = 3cos(2π(2|(-3|x - 2| - 3) + 1| - 2) - 3) + 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) = 2sin(1π(4(-3|x - 3|)) - 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) = -1cos(2π(-2(3|x - 1| - 3)^2 - 4(3|x - 1| - 3) - 5) - 3) - 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) = -2(-3cos(3π(1|x - 1|)))^2 + 4(-3cos(3π(1|x - 1|))) + 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) = 1|(2cos(1π(-2x^2 + 4x - 3) + 1) - 3) + 1| + 3 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) = (-2(-1sin(3π((1x - 2)/(-1x + 3)) - 3) + 2) - 3)/(-3(-1sin(3π((1x - 2)/(-1x + 3)) - 3) + 2) + 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) = -5(3|(2cos(1πx - 2) + 2) - 3| - 3)^2 - 5(3|(2cos(1πx - 2) + 2) - 3| - 3) + 1 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -2|(-3cos(1π(-2|x - 2| + 1) - 1) - 1) + 3| - 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) = 4(-5(1sin(3πx - 3) + 2) + 1)^2 + 1(-5(1sin(3πx - 3) + 2) + 1) + 3 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) = -1cos(1π(1(-1|x + 1| - 2) - 3)) + 1 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -3sin(2π(3|(2|x| - 2) + 2| + 1) + 2) - 1 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(1sin(1π(2x^2) - 3) - 1) + 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) = 3|(3sin(1π(-3|x - 3| - 1) - 2) + 2) - 1| - 3 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|(-1cos(1π(-5x^2 - 2) + 1)) + 2| + 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) = (-2(1sin(1π(4x - 1) + 2) + 3) - 2)/(2(1sin(1π(4x - 1) + 2) + 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) = 3(-2|(-1cos(3πx - 2) + 2) - 2| + 3)^2 - 4(-2|(-1cos(3πx - 2) + 2) - 2| + 3) - 4 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(-2(1sin(1πx + 2) - 3)) - 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) = -3|(-1cos(1π(1x - 1) + 2) + 3) + 1| + 2 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) = 2e^(-2(3|(1x^2 + 3x)| + 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) = 4(-2(-2cos(3πx - 1) + 1) - 2)^2 + 1(-2(-2cos(3πx - 1) + 1) - 2) 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) = 2cos(2π(5(5x^2 - 3x) + 3) - 1) + 2 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) = -2(-1cos(1π(-1x^2 - 2x - 2) + 3) - 3)^2 - 4(-1cos(1π(-1x^2 - 2x - 2) + 3) - 3) - 4 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) = 5(-1sin(1π((-1x - 2)/(-2x + 3)) + 2) - 1)^2 + 3(-1sin(1π((-1x - 2)/(-2x + 3)) + 2) - 1) + 4 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) = 1cos(2π(-5(1x - 2) + 2) - 2) + 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) = -1sin(1π(2|(3|x - 2| - 2) + 2| - 3) - 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) = 1cos(3π(-4((-2x + 1)/(2x + 3))^2 - 2((-2x + 1)/(2x + 3)) + 1) + 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) = 3sin(2π((-1(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) + 1)) - 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) = -2sin(3π(-2|(-3x^2 + 5x + 2) - 2| + 1) + 1) + 1 have 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((3((2x + 2)/(3x + 3)) - 2)/(3((2x + 2)/(3x + 3)) - 1)) - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = (-1(-2sin(1π(-4x - 5)) - 3) + 2)/(3(-2sin(1π(-4x - 5)) - 3) + 3) have 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) = 1e^(1(2|(5x^2 + 5x + 1) - 3| - 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) = 1cos(1π(5((3x + 3)/(-2x - 3)) - 4) - 1) 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((-1(-2|x + 1| + 2) + 3)/(-2(-2|x + 1| + 2) - 1))^2 + 4((-1(-2|x + 1| + 2) + 3)/(-2(-2|x + 1| + 2) - 1)) - 4 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) = -1cos(2π(4((2x - 1)/(-3x - 3)) + 5)) - 1 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|(-1sin(1π(-3x - 5)) - 2) + 3| - 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|(3|(-1sin(1πx + 3) + 1) + 2| - 2) - 2| + 3 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) = 3sin(2π((1(3x + 2) - 1)/(1(3x + 2) + 2))) 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) = 1cos(3π(-3|(-1x^2 + 2x - 2) - 1| + 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) = 4(-1cos(3π((1x - 2)/(-3x + 4)) - 1) + 1) + 3 where -10 ≤ x ≤ 10.

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


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

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


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

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


[User]
How many local maxima does the function f(x) = -3|(-2cos(1π(-3x - 4) - 3) - 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) = 2(-1(-1sin(2πx + 3) - 3)^2 + 3(-1sin(2πx + 3) - 3) + 3) + 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) = -1(2sin(1π((-3x + 2)/(-1x + 2)) - 2) + 1) - 4 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(3sin(3π(-3x - 4) - 3) - 2)^2 - 4(3sin(3π(-3x - 4) - 3) - 2) - 3 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) = 1sin(1π(-3((2x - 3)/(-3x - 1))^2 + 4((2x - 3)/(-3x - 1)) - 1) + 3) - 3 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 1((2(2sin(1πx + 1) - 1) - 3)/(2(2sin(1πx + 1) - 1) + 1)) - 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) = 3(-2|(3sin(1πx - 3) - 3) + 2| + 2) - 3 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -4(2sin(3π(-1|x + 2|) + 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) = 3|(5(-2cos(3πx - 3))) - 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) = -1sin(3π(-3|(-3x + 2)|) + 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) = 3(-2(-1cos(3πx - 3) + 3) - 5) + 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) = 2cos(3π(-1(-1x)^2 - 4(-1x) - 3) - 3) - 3 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -1(-1cos(2π(-1|x|)) - 2)^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) = (-3(1sin(1π(2x + 3) - 2) - 2) + 1)/(-2(1sin(1π(2x + 3) - 2) - 2)) 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) = -2|(1sin(1π((-2x + 1)/(-1x + 3)) - 1) + 3)| + 1 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) = (2((-1(-2cos(2πx + 2) - 3) - 2)/(-3(-2cos(2πx + 2) - 3))) - 1)/(1((-1(-2cos(2πx + 2) - 3) - 2)/(-3(-2cos(2πx + 2) - 3))) + 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) = -1sin(1π((-2((-1x + 1)/(-3x + 1)) + 3)/(2((-1x + 1)/(-3x + 1)) + 2)) - 3) + 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) = -5(3sin(2π(5x + 4) - 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) = (-2(1cos(2π(1x - 3)) + 1) - 2)/(3(1cos(2π(1x - 3)) + 1) + 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) = 1((-1(2|x - 3| - 1) - 3)/(-2(2|x - 3| - 1) + 3))^2 - 5((-1(2|x - 3| - 1) - 3)/(-2(2|x - 3| - 1) + 3)) + 4 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -2|(-1e^(2(1x - 4)))| + 3 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) = -1cos(1π((3(3x^2 + 4x + 1) + 2)/(2(3x^2 + 4x + 1) - 3)) - 1) - 2 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) = -5(5(-3|x - 3| + 2)^2 + 1(-3|x - 3| + 2) - 4)^2 - 4(5(-3|x - 3| + 2)^2 + 1(-3|x - 3| + 2) - 4) + 4 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) = -2|(-2e^(-2(-3x + 2)) - 1)| 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) = -5(-1(-2cos(2πx - 3)) - 2) + 5 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|(-5(3sin(3πx + 3) + 3) - 2) + 2| + 1 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -2sin(1π(2(5x) + 2) - 1) + 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) = -2|((-1(2sin(3πx + 3) + 2) - 3)/(1(2sin(3πx + 3) + 2) - 2)) + 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((2(2sin(3πx - 1) - 3) - 2)/(-2(2sin(3πx - 1) - 3) + 3))^2 + 3((2(2sin(3πx - 1) - 3) - 2)/(-2(2sin(3πx - 1) - 3) + 3)) + 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) = 3((-1(1sin(2πx - 3) + 2) - 3)/(-2(1sin(2πx - 3) + 2) - 2)) + 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) = 2sin(3π(3|(-5x^2 + 4x) - 3| - 2) - 2) - 3 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) = 2(-1cos(1π((-3x - 1)/(2x + 1)) - 3) - 3)^2 - 2(-1cos(1π((-3x - 1)/(2x + 1)) - 3) - 3) - 3 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(3sin(1π((1x)/(-3x - 2)) + 2))^2 - 3(3sin(1π((1x)/(-3x - 2)) + 2)) - 4 have 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) = (1(-2|(2cos(2πx + 3) - 3) - 1| - 2) + 3)/(-3(-2|(2cos(2πx + 3) - 3) - 1| - 2)) where -10 ≤ x ≤ 10.

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


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

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


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

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


[User]
Find the number of local minimum points for f(x) = 4(-2|(4x^2 + 2x - 3) + 2| + 2)^2 + 4(-2|(4x^2 + 2x - 3) + 2| + 2) + 5 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) = 1(-3(2sin(2πx - 2) + 3) - 2)^2 - 3(-3(2sin(2πx - 2) + 3) - 2) - 3 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) = 2(-1|(1cos(2πx + 3))| + 2)^2 - 5(-1|(1cos(2πx + 3))| + 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) = (-2(3sin(1π(5x^2 + 3x - 1) - 1) + 3) + 2)/(2(3sin(1π(5x^2 + 3x - 1) - 1) + 3) + 2) 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(2π(1|(4x + 2) + 3| - 1) - 2) have 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) = 5((2(3cos(3πx) + 1) + 3)/(-2(3cos(3πx) + 1)))^2 - 5((2(3cos(3πx) + 1) + 3)/(-2(3cos(3πx) + 1))) - 2 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) = 2cos(1π(-1|(4x^2 - 3x) - 3| + 3)) - 2 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 1(2sin(3π(-2x^2 - 2)))^2 - 3(2sin(3π(-2x^2 - 2))) 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) = -2cos(1π((-1(2|x - 3| - 2) - 2)/(-3(2|x - 3| - 2) + 2)) + 2) - 2 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) = (-3(-4(2sin(2πx) + 1) + 2))/(-2(-4(2sin(2πx) + 1) + 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|(1cos(1π(-1|x + 1|) + 3) - 3) - 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) = -3(2|(-3sin(3πx + 1) - 2) - 1| - 2) + 2 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -3(-3(2sin(3πx - 1) + 3) + 2)^2 + 3(-3(2sin(3πx - 1) + 3) + 2) + 5 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|(-1sin(3π(-3|x + 2| + 3) + 3) - 1) - 3| - 3 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) = 4(-2(3cos(3πx + 2) - 3) + 1)^2 + 3(-2(3cos(3πx + 2) - 3) + 1) + 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) = 4(3cos(2π(-4x^2 - 3x - 1) - 3) - 2) - 5 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) = -4(2((-3x - 3)/(-2x - 2))^2 + 1((-3x - 3)/(-2x - 2)) - 2)^2 + 2(2((-3x - 3)/(-2x - 2))^2 + 1((-3x - 3)/(-2x - 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) = 1|(3sin(1π((1x)/(-3x)) - 3) - 3) - 1| - 2 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 2cos(1π(-4(-2x - 3) + 4) - 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) = -1|(1|(2sin(3πx + 2) - 1) + 3| + 1) - 2| + 1 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(2e^(-1(3|x + 1| + 2))) - 5 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) = -3sin(1π(4(-4x^2 - 1x + 4)^2 - 3(-4x^2 - 1x + 4) + 4) + 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) = -4((-2(2sin(1πx - 3) + 2) + 1)/(-3(2sin(1πx - 3) + 2) - 3))^2 + 4((-2(2sin(1πx - 3) + 2) + 1)/(-3(2sin(1πx - 3) + 2) - 3)) - 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) = 2cos(3π(1|((2x + 2)/(-3x - 1))| - 3)) + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1sin(3π(4((-3x - 3)/(2x + 3)) - 1) - 3) 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) = (-1(1sin(1π(-3|x + 2| - 1)) - 1) + 3)/(-1(1sin(1π(-3|x + 2| - 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) = 4(3(3cos(2πx + 3) - 2) + 1) - 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((-2(3sin(3πx - 1) + 2))/(3(3sin(3πx - 1) + 2) + 3)))/(1((-2(3sin(3πx - 1) + 2))/(3(3sin(3πx - 1) + 2) + 3)) + 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) = (-1(-1sin(3π(2x^2 + 3x - 4)) - 3))/(3(-1sin(3π(2x^2 + 3x - 4)) - 3) + 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) = -2cos(2π(-1(3x^2 + 3x - 1) - 2) + 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) = 3sin(2π(5(2x^2 + 5x + 2)^2 - 2(2x^2 + 5x + 2) - 5)) + 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) = -4(1sin(3π(2|x - 3|) - 1) + 3) + 4 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(3cos(3π(-4x^2 - 1x) + 1)) - 5 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = (-1(-5(3sin(3πx) - 2)) + 1)/(1(-5(3sin(3πx) - 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) = 1|((2(2cos(2πx + 2) - 2) - 3)/(-1(2cos(2πx + 2) - 2) + 2)) - 1| + 3 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) = -1|(5(4x^2 + 5x - 3)^2 + 3(4x^2 + 5x - 3) - 4) + 3| - 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) = 2cos(3π(-5((1x - 3)/(-2x - 2)) + 3) - 3) + 1 have 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) = -3|(1|(-2cos(1πx + 1) - 3) + 2| + 3) + 2| + 1 where -10 ≤ x ≤ 10.

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


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

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


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

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


[User]
How many local minima does the function f(x) = 1|(2(3sin(2πx + 1) + 1)^2 + 2(3sin(2πx + 1) + 1) + 2) + 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) = (1(-3sin(1π(-2x^2 - 1x - 4) + 1) + 3))/(-1(-3sin(1π(-2x^2 - 1x - 4) + 1) + 3) - 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) = -2cos(1π(-5(4x^2 + 5x - 3) + 3) - 1) + 3 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(1(-2cos(3πx) + 1) - 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) = 2cos(1π(4(-5x^2 - 3x)^2 + 4(-5x^2 - 3x) + 4) + 1) - 2 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = (-1(3sin(2π((-2x - 1)/(2x - 1)) + 3) - 1) + 3)/(1(3sin(2π((-2x - 1)/(2x - 1)) + 3) - 1) + 1) 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) = 1cos(1π(-3|(3|x| - 3) + 1| - 3) + 3) + 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) = -1(4(-2cos(1πx - 3) - 2)^2 + 2(-2cos(1πx - 3) - 2) - 1) - 5 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(3π(3x^2 + 4x + 3) - 2) - 3) - 4 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(-1|(1cos(2πx + 1) - 3) + 2| + 3) - 2)/(2(-1|(1cos(2πx + 1) - 3) + 2| + 3) - 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) = 3|(2(-1cos(3πx - 1) - 1) - 5) - 1| + 2 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = (2(-3sin(3π(-1|x| + 2) + 1) - 1) - 2)/(1(-3sin(3π(-1|x| + 2) + 1) - 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) = 2|(1(-3sin(2πx + 3) - 3)^2 - 2(-3sin(2πx + 3) - 3) - 5) + 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|(-1sin(1π(2|x - 2|) + 1) + 1) + 3| - 3 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(3|(2cos(3πx - 1) - 2) + 3| + 1)^2 - 3(3|(2cos(3πx - 1) - 2) + 3| + 1) + 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) = -5(-3cos(2π((-2x - 2)/(-1x + 3)) + 1) - 1) - 4 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) = -3|(2sin(1π(5x^2 + 5x - 4) - 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) = 1cos(2π(-4(-1x - 1)^2 - 2(-1x - 1) - 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) = 5(3|(-3cos(3πx + 2) - 3) - 2| + 1) + 4 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) = 1(4(3|x - 2|)^2 - 2(3|x - 2|) + 1)^2 - 4(4(3|x - 2|)^2 - 2(3|x - 2|) + 1) + 3 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) = 1cos(3π(2(3|x| + 3) + 1) + 2) - 2 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -2(-3sin(2π(-1|x - 2| - 3) + 1) - 2)^2 - 3(-3sin(2π(-1|x - 2| - 3) + 1) - 2) + 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) = -5(1|(2sin(1πx + 1) + 1) + 2| + 1)^2 + 5(1|(2sin(1πx + 1) + 1) + 2| + 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|((-1(-2cos(2πx - 3)))/(1(-2cos(2πx - 3)) + 2)) - 1| - 3 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) = -2sin(2π(-2|(1x^2 - 1x - 2) - 2| - 2) + 2) + 2 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) = 1cos(2π((-3(3x) - 2)/(-2(3x) - 1)) - 2) + 1 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(3π(4x^2 + 4x + 5) + 3) - 3) + 1)/(2(1sin(3π(4x^2 + 4x + 5) + 3) - 3) + 1) 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|(1cos(2π(-5x - 4) - 1) + 2) + 1| - 1 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -5(-1|(-1sin(3πx + 3) + 3) + 1| + 2)^2 - 4 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 - 1)/(3x - 1)) - 2)) - 3 have 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) = 1|(-3cos(1π(3x - 1) - 1)) + 1| + 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) = -2(-1(1cos(1πx) - 2)^2 - 3(1cos(1πx) - 2) - 5) - 4 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) = 2cos(2π(-3(-3x + 2) - 2) - 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) = -1sin(2π(-5(2x^2 + 5x + 4)^2 - 5(2x^2 + 5x + 4) + 1) + 3) + 3 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -3|((1(3|x|) - 1)/(2(3|x|) - 1)) - 2| + 3 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) = 2sin(1π((-2(1x - 4) - 2)/(1(1x - 4))) - 2) - 3 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) = 2e^(2(-3|(2|x - 3|)|)) - 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) = (-1(-3|(2cos(2πx + 1)) + 2| + 2) - 3)/(2(-3|(2cos(2πx + 1)) + 2| + 2) - 1) in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 2(3|(-1sin(3πx - 3) + 2) - 3| - 1)^2 + 5(3|(-1sin(3πx - 3) + 2) - 3| - 1) - 5 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|(1(-3cos(2πx + 2) + 3)^2 + 3(-3cos(2πx + 2) + 3) + 4) - 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) = -4(-3sin(3π(1x^2 + 4x + 3) + 3) - 1)^2 - 2(-3sin(3π(1x^2 + 4x + 3) + 3) - 1) - 1 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) = 2cos(1π(-3(-3x - 3) + 5) - 1) + 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) = 1sin(3π(-2(1x + 3) + 1) + 2) - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1sin(1π((3(-4x^2 + 2x - 1))/(-1(-4x^2 + 2x - 1))) + 3) + 3 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) = (1(-1e^(-2(2x - 3)) + 1) + 3)/(3(-1e^(-2(2x - 3)) + 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) = (-3(-3(-1cos(3πx + 3) - 2)) - 3)/(-1(-3(-1cos(3πx + 3) - 2)) + 2) 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) = -1|(2|(-2cos(3πx - 2) - 3) - 1| + 3) - 1| - 3 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) = 2|(3|(-3x^2 + 2) + 3|) - 1| + 2 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) = -2(-1sin(1π(-3x^2 - 3x - 3) - 3) - 1)^2 + 4(-1sin(1π(-3x^2 - 3x - 3) - 3) - 1) - 3 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(5(-2sin(3πx - 3) - 3) + 4) - 3)/(3(5(-2sin(3πx - 3) - 3) + 4) - 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) = -1(-5(-1sin(2πx - 2) + 2) + 4) + 1 in the interval [-10, 10].

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


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

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


[User]
How many local maxima does the function f(x) = -2(-4(-2sin(1πx - 1) + 3) - 4) 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) = (-1(3sin(3π(4x - 1) - 1) - 2) - 3)/(1(3sin(3π(4x - 1) - 1) - 2)) 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) = 2(-2cos(3π(2|x + 2| - 3) + 1) + 2)^2 - 1(-2cos(3π(2|x + 2| - 3) + 1) + 2) - 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = (-1(4(-1cos(2πx + 3) - 1) + 4) + 2)/(3(4(-1cos(2πx + 3) - 1) + 4) - 2) where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 1(-1sin(1π(2|x + 3| + 1)) + 2) + 4 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) = -2cos(2π(-3|(1|x - 3|) + 2| - 1)) - 3 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) = -2cos(3π(-2(-1x^2 - 2x - 4) + 4) - 3) - 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) = -3sin(3π(2|(1x - 4) - 1| - 3) - 2) + 2 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) = (2(3|(-2sin(2πx - 2) - 2) + 1|) + 2)/(2(3|(-2sin(2πx - 2) - 2) + 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) = 3sin(3π(-2(-2x^2 + 2x) + 4) + 1) + 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) = 3sin(2π((1(1x) + 2)/(2(1x) + 1))) + 1 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) = 2cos(2π((-2((-1x - 1)/(-2x + 3)))/(3((-1x - 1)/(-2x + 3)) - 1)) - 1) + 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) = -3|(-3(2cos(3πx) + 3)) - 3| + 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) = -1cos(2π(-3((-2x + 2)/(1x + 1)) - 4) + 1) + 2 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) = (-3(2cos(3π(-5x + 4) - 1) - 1) + 2)/(2(2cos(3π(-5x + 4) - 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) = 3cos(3π(-2|(5x^2 - 2x + 5) - 3| + 3)) - 2 have 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(3π((-1(-5x^2 + 5x + 3) + 1)/(-1(-5x^2 + 5x + 3) - 2)) - 2) - 2 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(4(2|x - 2| - 1)^2 - 1(2|x - 2| - 1) + 1) - 3) + 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) = 3cos(3π(-2|((-3x - 3)/(-1x - 1))| - 1) + 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) = -5(-1cos(3π(1|x| - 1) - 3) - 2)^2 + 4(-1cos(3π(1|x| - 1) - 3) - 2) + 5 have 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) = 2cos(1π(1(-1x + 4)^2 + 2) + 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(-2sin(1π((-1x - 2)/(2x + 2))) + 3)^2 + 3 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|(-2sin(1π(3x^2 - 1) - 3) + 3)| + 3 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) = -1|((2(-2sin(2πx - 2) + 2))/(2(-2sin(2πx - 2) + 2) + 1)) + 3| + 3 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) = -1cos(1π(-2|(-3|x + 3| + 3) - 2| + 3) - 2) - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = (3(4(-3e^(1x) - 1)^2 + 1(-3e^(1x) - 1)))/(2(4(-3e^(1x) - 1)^2 + 1(-3e^(1x) - 1))) 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(2|(1sin(3πx + 2) - 2) + 1| + 3)^2 + 4 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|(-1|(1sin(3πx + 2) - 2)| - 3) + 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(3π(1(-1|x - 3| + 2)^2 + 1(-1|x - 3| + 2)) - 2) - 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) = -3|((2(2sin(1πx - 3) - 1) + 2)/(-2(2sin(1πx - 3) - 1) - 1)) - 1| - 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) = 3sin(3π(4(-5x - 5)^2 - 5(-5x - 5) + 3) + 1) - 2 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|(-3(-3cos(2πx + 1) + 1) + 4) + 3| + 1 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) = (2(2cos(1π(5x + 2) - 2) + 3) - 2)/(1(2cos(1π(5x + 2) - 2) + 3) + 2) 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(2π((-1(3x - 4) + 3)/(3(3x - 4) + 3)) + 3) 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) = 3(2cos(2π((1x - 2)/(-2x)) + 1) + 3)^2 - 5(2cos(2π((1x - 2)/(-2x)) + 1) + 3) + 4 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|(-2|(-3cos(2πx + 3) - 1) + 2| + 1) - 1| + 2 in the interval [-10, 10].

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


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

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


[User]
How many local maxima does the function f(x) = 1|(1(-3sin(2πx - 3) + 3)^2 + 2) - 1| - 2 have 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(2π((2(-3x) - 3)/(-3(-3x) + 2)) + 3) + 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) = (-3(-3sin(2π(1x^2 - 3x - 5) + 2) - 2) - 2)/(3(-3sin(2π(1x^2 - 3x - 5) + 2) - 2) - 1) 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) = -2sin(1π((-3(1|x - 1|) + 1)/(1(1|x - 1|))) + 3) + 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(2π((-3x)/(-2x - 1)) - 3) - 1) + 2)/(-2(1sin(2π((-3x)/(-2x - 1)) - 3) - 1) + 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) = -2(-3cos(2π(2|x + 2| + 1) - 2) - 1)^2 - 4(-3cos(2π(2|x + 2| + 1) - 2) - 1) - 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) = 3sin(1π(-5(2|x + 1| + 1) - 1)) - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -2cos(1π(-4(-3x + 3)^2 + 1(-3x + 3) + 2)) - 1 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) = -3(2|(3sin(2πx - 1)) - 2| + 3)^2 + 1(2|(3sin(2πx - 1)) - 2| + 3) - 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) = -2(-2cos(1π((-3x + 1)/(3x)) + 3) + 3) + 4 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 1|(2|(-3cos(2πx - 1) - 3) + 1| + 2) - 3| + 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) = -1((2(3cos(1πx + 2) - 1) - 2)/(-3(3cos(1πx + 2) - 1) - 2))^2 + 1((2(3cos(1πx + 2) - 1) - 2)/(-3(3cos(1πx + 2) - 1) - 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(-2e^(-2(1x^2 + 4x)) - 3) + 2)/(3(-2e^(-2(1x^2 + 4x)) - 3) - 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) = -2|(1cos(1π(-1|x - 3| - 2) + 3)) - 2| + 1 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(3cos(2π(2|x|) - 3) + 3) - 1)/(-2(3cos(2π(2|x|) - 3) + 3) + 1) 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(-3|((2x + 3)/(-3x - 1)) - 1| + 3)^2 - 1(-3|((2x + 3)/(-3x - 1)) - 1| + 3) + 1 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -2sin(1π(-3(3x + 5) + 2) - 3) + 3 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(-2|(-3sin(1πx + 1) - 1) + 2| - 3) - 2)/(1(-2|(-3sin(1πx + 1) - 1) + 2| - 3) + 2) 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) = 3(1|(-1sin(2πx - 3) - 2) - 3| + 3) + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -4(3sin(2π((-2x + 2)/(2x + 2)) + 2))^2 - 1(3sin(2π((-2x + 2)/(2x + 2)) + 2)) - 1 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) = 3|(-1cos(3π(2|x + 2| - 3) - 3) - 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) = 2sin(2π(2((2x + 2)/(-3x + 4))) + 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((-2(-1x^2 + 4x + 4) - 1)/(-2(-1x^2 + 4x + 4) + 3))^2 - 4((-2(-1x^2 + 4x + 4) - 1)/(-2(-1x^2 + 4x + 4) + 3)) + 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) = (3(2sin(3π(-1|x - 2| + 3) - 1)) - 2)/(-3(2sin(3π(-1|x - 2| + 3) - 1))) 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) = 1(2cos(1π(-5x^2 - 4x - 2)) - 3)^2 + 2(2cos(1π(-5x^2 - 4x - 2)) - 3) in the interval [-10, 10].

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


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

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


[User]
How many local maxima does the function f(x) = -3(3cos(2π(5x - 1) + 3))^2 - 4(3cos(2π(5x - 1) + 3)) - 3 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) = 2cos(3π(-4(2x^2 + 1x) - 4) + 1) 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(-2sin(2π(1x + 5) + 3) - 1) + 2)/(2(-2sin(2π(1x + 5) + 3) - 1) + 1) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -1cos(1π(1((-3x + 2)/(-2x - 1))^2 + 4) + 2) + 1 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(-2cos(1π(-4x^2 - 1x + 4) - 3) + 3) + 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) = -3|(2|(1x^2 + 2x) - 2| - 1) - 2| - 1 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -5(1sin(1π(-1|x - 1| + 2) - 1) - 1) + 5 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(3cos(1π(2x - 2)) - 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) = 3|(3|(2cos(2πx - 3) - 1) + 2| - 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) = 3|(-4(-1cos(1πx - 1) - 3))| + 3 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -1(2sin(1π(-5x + 5) + 1) + 3)^2 - 5(2sin(1π(-5x + 5) + 1) + 3) + 1 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) = -1|(2sin(2π(1|x - 2| - 2) + 3) - 3) + 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) = 3cos(3π(1|(5x^2 - 3x - 4) + 1| + 1) - 3) + 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) = 4(-2sin(2π(3|x + 3| + 1) + 1) + 3)^2 - 4(-2sin(2π(3|x + 3| + 1) + 1) + 3) + 3 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) = -3sin(2π(-2(-3x + 2)^2 - 1(-3x + 2) - 4) + 2) 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) = -2((-3(-1sin(1πx + 3) - 3) - 1)/(-2(-1sin(1πx + 3) - 3) - 3))^2 - 5((-3(-1sin(1πx + 3) - 3) - 1)/(-2(-1sin(1πx + 3) - 3) - 3)) - 1 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) = -4(-1(-1sin(1πx - 3)) + 5) + 4 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|((1(3sin(2πx + 1) - 1))/(2(3sin(2πx + 1) - 1) - 1)) - 3| - 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) = 5((2(-3sin(2πx - 1) - 2) + 3)/(-3(-3sin(2πx - 1) - 2) - 1))^2 + 3((2(-3sin(2πx - 1) - 2) + 3)/(-3(-3sin(2πx - 1) - 2) - 1)) + 5 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = (-3(2|(1cos(2πx + 3)) - 1| - 1) + 2)/(1(2|(1cos(2πx + 3)) - 1| - 1) - 3) 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) = (-1(2|(1sin(3πx + 1))| - 1) - 3)/(-2(2|(1sin(3πx + 1))| - 1)) 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) = -1|(1sin(1π(3x^2 - 5x - 4) - 2) - 2) + 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) = -1sin(3π(2(2|x + 2| - 3)) + 3) + 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) = -2|(-1sin(3π(-3x + 3) + 3) + 2) + 1| + 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|((1(1cos(1πx + 1) + 2) + 3)/(-1(1cos(1πx + 1) + 2))) - 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) = 3cos(2π(-3|(-2|x + 1| + 1) + 3| + 3) + 3) - 2 in the interval [-10, 10].

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


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

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


[User]
Find the number of local minimum points for f(x) = -3|(1cos(1π((2x + 3)/(1x + 2)) + 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) = -2((1(-1sin(1πx + 3) - 1) + 3)/(-2(-1sin(1πx + 3) - 1) - 1))^2 + 5((1(-1sin(1πx + 3) - 1) + 3)/(-2(-1sin(1πx + 3) - 1) - 1)) - 4 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|((-1(2sin(3πx + 2)) - 3)/(1(2sin(3πx + 2)) + 2))| - 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -3|(3sin(3π(-2x^2 - 2x + 5) - 1)) + 1| - 3 have 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) = -5(-1e^(2(-3|x + 3|)) + 2)^2 + 5(-1e^(2(-3|x + 3|)) + 2) - 5 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(1(1cos(1πx) + 1) + 4)^2 + 3(1(1cos(1πx) + 1) + 4) 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) = 4(3cos(1π(-4x^2 + 4) + 2) + 1)^2 + 1(3cos(1π(-4x^2 + 4) + 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) = -2cos(2π(1(-1|x + 1| + 2) - 5) - 2) - 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 1|(-3(3cos(2πx + 1) + 3)^2 + 1(3cos(2πx + 1) + 3) - 5) + 2| + 3 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((-2((-3x + 3)/(-2x + 3)) - 2)/(3((-3x + 3)/(-2x + 3)) + 3))^2 - 4((-2((-3x + 3)/(-2x + 3)) - 2)/(3((-3x + 3)/(-2x + 3)) + 3)) - 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) = 3cos(3π(4(-4x - 4) + 2) + 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|(-2cos(2π(-4x - 4) - 2) + 1)| - 3 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) = 3|(2cos(3π((2x + 1)/(-1x - 3))) + 2) + 3| + 2 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) = -2cos(3π(3(-1x + 3) + 3) - 1) - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 2sin(2π(1(1|x - 2| - 1)^2 - 1(1|x - 2| - 1) + 4) - 3) + 1 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) = 1(1sin(3π(2|x - 3| - 1) - 3) - 2) + 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) = -1cos(2π(-2|(-3x^2 + 3x - 2) + 3| + 1) + 1) + 2 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) = -2sin(2π((-2(1x + 3) + 1)/(-1(1x + 3) - 3)) + 2) where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 2(1cos(2π(5x^2 + 5x + 3) - 2) - 2)^2 + 1(1cos(2π(5x^2 + 5x + 3) - 2) - 2) + 3 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(2π((2((-1x + 1)/(3x)) + 3)/(2((-1x + 1)/(3x)) + 2)) - 1) + 3 have 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(2|(1cos(1πx + 1) - 1) - 3|)^2 - 4(2|(1cos(1πx + 1) - 1) - 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) = 1(1(1|x - 3| - 1)^2 - 5(1|x - 3| - 1) + 1)^2 + 4(1(1|x - 3| - 1)^2 - 5(1|x - 3| - 1) + 1) + 4 in the interval [-10, 10].

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


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

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


[User]
Find the number of local minimum points for f(x) = 1(-1(-2cos(3πx + 3) - 3) + 2)^2 - 1(-1(-2cos(3πx + 3) - 3) + 2) - 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) = -3((1(1cos(3πx + 2)))/(-3(1cos(3πx + 2)) + 2)) - 5 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) = -1sin(3π(-3|(-3|x| - 3) - 1| + 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|(1sin(2π(-5x - 3) - 1) - 1) + 3| - 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) = -4(2|(-1sin(2πx - 1) + 2) + 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) = -2sin(2π((-2(1|x| - 2) + 2)/(1(1|x| - 2) - 2)) - 3) + 3 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) = -1cos(3π(-2((1x - 3)/(1x + 1))^2 - 4((1x - 3)/(1x + 1)) - 3) + 1) + 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) = -1|(1sin(3π((3x + 3)/(-2x - 1)) - 3) + 2) + 2| - 1 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -3sin(3π(-3|(4x - 2) - 1| + 3) - 1) + 3 have 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(3(-2cos(1πx + 2) - 3) - 1) + 1)/(3(3(-2cos(1πx + 2) - 3) - 1) - 2) 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(-2cos(3πx - 1) - 1)^2 + 2(-2cos(3πx - 1) - 1) + 3) + 3)/(2(-3(-2cos(3πx - 1) - 1)^2 + 2(-2cos(3πx - 1) - 1) + 3) + 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) = 4(-2|((2x - 1)/(-2x + 3)) + 3|)^2 + 2(-2|((2x - 1)/(-2x + 3)) + 3|) + 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) = -2e^(-2(-1((-2x - 3)/(-1x - 1))^2 + 5((-2x - 3)/(-1x - 1)) + 5)) - 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) = 2(-1sin(2π((3x - 3)/(-2x - 1)) + 1) + 3)^2 - 5(-1sin(2π((3x - 3)/(-2x - 1)) + 1) + 3) + 4 in the interval [-10, 10].

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


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

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


[User]
Find the number of local maximum points for f(x) = 5(-3cos(2π((-1x - 3)/(-1x - 2)) + 1) + 1) + 1 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|(-5(1|x - 1| - 2)^2 - 1(1|x - 1| - 2) + 1) + 3| in the interval [-10, 10].

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


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

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


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

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


[User]
How many local minima does the function f(x) = -2cos(1π(-5(1x - 5)^2 - 3(1x - 5) - 3) - 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) = -1|((3(3cos(3πx + 3) + 3) + 3)/(-1(3cos(3πx + 3) + 3) - 1)) + 2| - 3 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) = -3sin(1π(-2(-4x^2 - 1x - 4)^2 - 4(-4x^2 - 1x - 4) + 3) + 3) + 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) = -3cos(2π((-2(-3|x - 2| + 2) - 2)/(-1(-3|x - 2| + 2) + 2)) + 3) + 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) = 1(-2|(1cos(1πx - 3) - 3) + 3| - 1)^2 - 1(-2|(1cos(1πx - 3) - 3) + 3| - 1) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = (-2(2(1cos(2πx + 3) - 3)^2 - 1(1cos(2πx + 3) - 3) - 5) - 2)/(3(2(1cos(2πx + 3) - 3)^2 - 1(1cos(2πx + 3) - 3) - 5)) where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 1(-2|(-1sin(1πx - 3) + 3) + 2| - 2) + 2 have 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(-1cos(3π(5x + 2) - 1) + 1) - 2 where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


[User]
How many local maxima does the function f(x) = 2sin(3π(-2((1x - 3)/(-1x)) - 5) + 2) - 2 have 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) = (3(1sin(2π(-3|x - 1| - 3) + 2) + 1) - 1)/(2(1sin(2π(-3|x - 1| - 3) + 2) + 1) - 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) = (-2(-2sin(2π(-5x - 2) - 2) - 2) - 1)/(-3(-2sin(2π(-5x - 2) - 2) - 2) - 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) = 2(-2sin(3π(5x^2 - 1x + 5) - 1) - 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) = (-2(-3cos(2π(3x^2 - 5x + 4) + 2)) - 3)/(2(-3cos(2π(3x^2 - 5x + 4) + 2)) + 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) = -1cos(2π(5((1x + 1)/(-2x - 3)) + 3) + 3) + 2 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(-2sin(3π(2|x + 1| - 1) - 2) + 2) - 2)/(2(-2sin(3π(2|x + 1| - 1) - 2) + 2) + 3) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = 2sin(2π(1((-1x + 3)/(-2x + 3)) + 3) + 3) - 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) = -3cos(1π(3(-3|x| - 1) + 4) - 3) - 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(-3(3sin(2πx))^2 + 2(3sin(2πx)) - 1)^2 - 4(-3(3sin(2πx))^2 + 2(3sin(2πx)) - 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) = 2|(-1(-3cos(1πx + 1) - 2)^2 + 2(-3cos(1πx + 1) - 2) + 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) = 4(-4(-1sin(2πx - 3) + 2)^2 - 2(-1sin(2πx - 3) + 2) + 4) + 5 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) = 1cos(3π(-2(1x - 5) - 2)) + 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 2(2cos(1π(-5x^2 + 2x + 5) + 3) + 2) + 2 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(2π(1|(3|x - 2| + 3) + 2| - 2) + 2) + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = (-2(-5(-2cos(2πx + 1) + 2) - 2) - 2)/(-2(-5(-2cos(2πx + 1) + 2) - 2) - 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) = 1(-2sin(2π(2x^2 - 1x - 4) - 1) - 1)^2 + 2(-2sin(2π(2x^2 - 1x - 4) - 1) - 1) + 1 have 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|(2e^(-1(5x^2 + 4x - 4))) - 2| + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 2(-2cos(1π(-3x + 5) - 3) + 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) = 2|(5(4x^2 - 5x + 1)^2 + 2(4x^2 - 5x + 1) - 5) + 3| - 1 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) = 2sin(1π((-1((1x + 3)/(-2x - 1)) + 1)/(-3((1x + 3)/(-2x - 1)))) - 3) 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) = 5(-2sin(1π(3|x + 3| + 1) + 1) - 2)^2 + 2(-2sin(1π(3|x + 3| + 1) + 1) - 2) + 2 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(1π(2|((-1x + 1)/(1x)) - 3| - 2) - 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) = 1(-2(1cos(3πx - 3) + 3)^2 - 4(1cos(3πx - 3) + 3) + 5)^2 + 1(-2(1cos(3πx - 3) + 3)^2 - 4(1cos(3πx - 3) + 3) + 5) - 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(-3sin(1πx) + 1)^2 - 3(-3sin(1πx) + 1) - 5)^2 - 3(-1(-3sin(1πx) + 1)^2 - 3(-3sin(1πx) + 1) - 5) 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(3cos(2π(3x^2 - 5x - 2) + 1))^2 - 1(3cos(2π(3x^2 - 5x - 2) + 1)) - 5 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -3cos(3π(-4(4x - 4) - 4) - 3) + 2 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) = -2(-5(-3cos(3πx + 2) - 2)^2 + 5(-3cos(3πx + 2) - 2) + 2)^2 + 5(-5(-3cos(3πx + 2) - 2)^2 + 5(-3cos(3πx + 2) - 2) + 2) - 1 in the interval [-10, 10].

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


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

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


[User]
How many local minima does the function f(x) = -3cos(2π((2(2|x - 1| - 1))/(3(2|x - 1| - 1) - 2))) - 3 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) = -2|(2sin(3π(-4x^2 + 4x - 3) + 2) - 2) - 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) = -2sin(2π(-1((3x + 1)/(-1x + 3))^2 + 2((3x + 1)/(-1x + 3)) + 4) + 2) + 3 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) = (-1(-2sin(2π((-1x + 1)/(-2x)) + 2) - 1) + 1)/(3(-2sin(2π((-1x + 1)/(-2x)) + 2) - 1) + 1) 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) = 3cos(3π((1((-2x + 2)/(1x + 2)))/(-2((-2x + 2)/(1x + 2)) - 1)) - 1) 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|((3(1sin(2πx - 1) - 2))/(3(1sin(2πx - 1) - 2) + 2)) + 2| in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 5((-1(3sin(3πx + 2) - 1) - 1)/(-1(3sin(3πx + 2) - 1) - 2)) - 3 where -10 ≤ x ≤ 10.

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


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

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


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

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