[User]
Determine the total count of local extrema points for the function f(x) = -4(1sin(2π(2|(-3x^2 - 4x + 5) - 1| - 3) - 3) - 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) = 1cos(1π((-1(-3|(3x^2 - 3x + 3) - 3| + 2) + 3)/(2(-3|(3x^2 - 3x + 3) - 3| + 2) + 1)) - 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) = (2(1|(-2e^(-2(-4x^2 - 1)) - 2) + 3| - 3))/(3(1|(-2e^(-2(-4x^2 - 1)) - 2) + 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) = 2sin(3π(-2(-1|(-3|x - 1| - 2) - 2|)^2 + 3(-1|(-3|x - 1| - 2) - 2|) - 3) + 1) where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the total count of local extrema points for the function f(x) = -4(5(-4(-3cos(2πx) - 1) + 2) - 5)^2 + 1(5(-4(-3cos(2πx) - 1) + 2) - 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(-2(-1sin(2π(5x^2 + 5x + 2) + 3) - 3) + 2) + 1)/(3(-2(-1sin(2π(5x^2 + 5x + 2) + 3) - 3) + 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(-2sin(2π(-2((-3x - 1)/(1x - 2))^2 - 4((-3x - 1)/(1x - 2)) + 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) = (-3((3(1|(-1sin(1πx + 3) + 1)| + 1) + 3)/(2(1|(-1sin(1πx + 3) + 1)| + 1) - 3)) + 2)/(-1((3(1|(-1sin(1πx + 3) + 1)| + 1) + 3)/(2(1|(-1sin(1πx + 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) = -1(1(-3sin(3π((1x + 1)/(2x - 1)) + 3) + 3)^2 + 2(-3sin(3π((1x + 1)/(2x - 1)) + 3) + 3) - 5)^2 + 5(1(-3sin(3π((1x + 1)/(2x - 1)) + 3) + 3)^2 + 2(-3sin(3π((1x + 1)/(2x - 1)) + 3) + 3) - 5) - 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|(3|(2sin(3π(5x^2 - 4x - 2) + 3) - 2) - 2|) + 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(-3|((-1(-3|x| + 2) - 3)/(-3(-3|x| + 2) - 3)) + 2| + 3) + 1)/(-3(-3|((-1(-3|x| + 2) - 3)/(-3(-3|x| + 2) - 3)) + 2| + 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(5(3|(2sin(1πx - 1) + 2) - 3| + 2)) + 1)/(3(5(3|(2sin(1πx - 1) + 2) - 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(2sin(3π(-1x - 2) + 2) - 1)^2 + 1(2sin(3π(-1x - 2) + 2) - 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) = (3(4(-1e^(-1(3x - 3)) + 1) + 5) - 2)/(2(4(-1e^(-1(3x - 3)) + 1) + 5) + 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|(1sin(2π(-5(-1x^2 - 2)^2 + 5(-1x^2 - 2) - 2))) + 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) = 2|(-1|(-3sin(2π((2x - 2)/(1x + 2)) + 2)) - 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(-2sin(3π(-1|((1x - 2)/(-3x - 2)) + 2| + 1) + 2) + 2) - 4 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(1|(-3(-3|x| + 2) + 4) - 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) = (3((1(-3cos(3π((-3x + 2)/(2x + 3)) + 1) - 3) - 3)/(-1(-3cos(3π((-3x + 2)/(2x + 3)) + 1) - 3) + 2)) - 1)/(1((1(-3cos(3π((-3x + 2)/(2x + 3)) + 1) - 3) - 3)/(-1(-3cos(3π((-3x + 2)/(2x + 3)) + 1) - 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(-4((-1(1cos(2πx + 3) + 2) + 3)/(3(1cos(2πx + 3) + 2) + 2)) - 2)^2 - 3(-4((-1(1cos(2πx + 3) + 2) + 3)/(3(1cos(2πx + 3) + 2) + 2)) - 2) - 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) = 2cos(2π(4((1(1x + 1) + 2)/(1(1x + 1)))^2 - 5((1(1x + 1) + 2)/(1(1x + 1))) - 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) = -3|(3(1cos(1π(-1|x + 2|) + 1) - 3)^2 - 1(1cos(1π(-1|x + 2|) + 1) - 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) = -3(-2(1|(1cos(2πx - 2) + 3) + 1|) + 4) - 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|(2(2(1x^2 + 5x - 3)^2 - 4(1x^2 + 5x - 3) + 3)^2 - 5) - 2| - 2 in the interval [-10, 10].

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the count of local maxima for the function f(x) = -3|(-5(3e^(2(-2|x| - 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) = 2sin(3π(3((2((1x + 1)/(3x)) + 2)/(2((1x + 1)/(3x)) - 3))^2 + 2((2((1x + 1)/(3x)) + 2)/(2((1x + 1)/(3x)) - 3)) - 5) - 2) where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Determine the count of local minima for the function f(x) = 3|(1cos(1π(3(3|x|) + 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) = 2(4(-1(-3sin(3πx - 2) + 2)^2 + 2(-3sin(3πx - 2) + 2) - 1) - 5)^2 + 4(4(-1(-3sin(3πx - 2) + 2)^2 + 2(-3sin(3πx - 2) + 2) - 1) - 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) = (-2(2(2sin(2π(-1x - 4)) + 2)^2 - 3(2sin(2π(-1x - 4)) + 2)) - 3)/(-1(2(2sin(2π(-1x - 4)) + 2)^2 - 3(2sin(2π(-1x - 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) = 2(2cos(1π(1(-2x^2 - 1x + 5) + 1)) - 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) = 4(-4(3(-1x^2 + 5x - 5)^2 - 5(-1x^2 + 5x - 5) - 2) - 1)^2 + 4(-4(3(-1x^2 + 5x - 5)^2 - 5(-1x^2 + 5x - 5) - 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) = 3|(-2(3cos(2π((-1x - 3)/(-2x + 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) = 5(-2|(-1sin(2π(2|x| + 1) - 3) + 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) = 2((3(-1e^(1(-3x + 1)) - 2) + 2)/(-2(-1e^(1(-3x + 1)) - 2) + 3))^2 + 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) = 4(-1(1sin(2π(-2|x| + 2) - 1) - 3)^2 - 3(1sin(2π(-2|x| + 2) - 1) - 3) - 3)^2 - 1(-1(1sin(2π(-2|x| + 2) - 1) - 3)^2 - 3(1sin(2π(-2|x| + 2) - 1) - 3) - 3) + 5 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(2cos(1π(-1(1|x + 3|) - 5) + 2) - 1))/(1(2cos(1π(-1(1|x + 3|) - 5) + 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) = 1|(-1|(2|(3x^2 + 1x + 1) + 1| - 2) - 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) = -3cos(1π(-4(3|(3x^2 - 4x - 5) + 2| + 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) = 2sin(2π(5((1((2x + 3)/(-1x + 3)) - 3)/(-2((2x + 3)/(-1x + 3)) + 1)) + 2) + 3) + 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) = -3|(3sin(3π((2(-3x - 4) - 3)/(-3(-3x - 4))) - 2) - 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(-5(-1(1cos(3πx - 2))^2 + 5(1cos(3πx - 2)) + 4) + 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) = -4(-1e^(2(-1|((-3x + 2)/(2x - 3)) - 1| + 3)) + 2)^2 + 4(-1e^(2(-1|((-3x + 2)/(2x - 3)) - 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) = -1cos(3π((3((-2(2x^2 + 4x - 1) - 2)/(1(2x^2 + 4x - 1))) - 2)/(2((-2(2x^2 + 4x - 1) - 2)/(1(2x^2 + 4x - 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) = -1(2|(-2|(-2sin(1πx - 1) + 2) - 3| - 1)| + 3)^2 + 3(2|(-2|(-2sin(1πx - 1) + 2) - 3| - 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) = -4(-2|(3sin(1π(4x^2 + 4x - 2)) + 1) + 1| + 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) = 1sin(1π(2((-2(4x^2 + 2x + 3) + 3)/(-1(4x^2 + 2x + 3) - 1))^2 + 4) + 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(3π(1(1(-2x^2 - 4x) - 4)^2 - 4) - 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) = 1cos(2π((-1(-3(3|x + 2| - 2) + 3) - 1)/(2(-3(3|x + 2| - 2) + 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) = -2((2(-3cos(2π(5x^2 - 1x + 2) + 1) + 2) + 1)/(3(-3cos(2π(5x^2 - 1x + 2) + 1) + 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) = -3|((3((2(2cos(3πx + 3) - 2) + 1)/(1(2cos(3πx + 3) - 2))) + 2)/(3((2(2cos(3πx + 3) - 2) + 1)/(1(2cos(3πx + 3) - 2))) - 2)) - 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) = 1|(-1sin(1π(-3(2x^2 + 1x + 4)^2 - 4(2x^2 + 1x + 4) - 5) + 2) - 2) + 3| - 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) = -2cos(1π(3|(5((-2x - 1)/(-1x - 3)) + 5) + 3|) - 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|(2cos(2π(1|(2x + 2) + 2| - 1) + 2) + 1) + 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) = 5(1|(5(-1cos(1πx - 1) + 1) - 3) + 1| + 1)^2 - 3(1|(5(-1cos(1πx - 1) + 1) - 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 maxima for the function f(x) = 1|(2sin(2π((3((2x - 3)/(3x + 1)) - 3)/(-1((2x - 3)/(3x + 1)) - 3)) - 2) + 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) = -1sin(2π(-4(3|((-1x - 3)/(-2x - 2)) - 3| + 2) - 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) = 4((1(-1((-1x)/(-1x - 2))^2 + 1((-1x)/(-1x - 2)) + 4))/(2(-1((-1x)/(-1x - 2))^2 + 1((-1x)/(-1x - 2)) + 4) + 1))^2 - 5((1(-1((-1x)/(-1x - 2))^2 + 1((-1x)/(-1x - 2)) + 4))/(2(-1((-1x)/(-1x - 2))^2 + 1((-1x)/(-1x - 2)) + 4) + 1)) + 5 have in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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