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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = 2(1((-1(3sin(1πx + 1) + 2))/(2(3sin(1πx + 1) + 2) + 3))^2 + 4((-1(3sin(1πx + 1) + 2))/(2(3sin(1πx + 1) + 2) + 3)) + 5)^2 + 5(1((-1(3sin(1πx + 1) + 2))/(2(3sin(1πx + 1) + 2) + 3))^2 + 4((-1(3sin(1πx + 1) + 2))/(2(3sin(1πx + 1) + 2) + 3)) + 5) + 5 where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3sin(1π(-5(-2(1|x - 2| + 1) - 1)^2 - 2(-2(1|x - 2| + 1) - 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 maximum points for f(x) = -1cos(3π(-3|(-1|(-3|x + 3| + 1) - 2| + 1) + 2| + 2) + 1) - 2 where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = (-2(1((1(2x^2 - 5x - 1))/(1(2x^2 - 5x - 1) + 1))^2 + 4((1(2x^2 - 5x - 1))/(1(2x^2 - 5x - 1) + 1)) + 3) - 2)/(-1(1((1(2x^2 - 5x - 1))/(1(2x^2 - 5x - 1) + 1))^2 + 4((1(2x^2 - 5x - 1))/(1(2x^2 - 5x - 1) + 1)) + 3) - 3) where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 5((3(1cos(1π(-4x) + 2) - 2) + 2)/(1(1cos(1π(-4x) + 2) - 2) - 3)) + 5 where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = -1cos(3π((1(3(2|x + 3| - 3)^2 - 4(2|x + 3| - 3)) + 1)/(-3(3(2|x + 3| - 3)^2 - 4(2|x + 3| - 3)) - 2))) where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = (2(5((2(-2cos(1πx + 1) + 1) - 2)/(3(-2cos(1πx + 1) + 1) + 3))^2 + 4) + 2)/(2(5((2(-2cos(1πx + 1) + 1) - 2)/(3(-2cos(1πx + 1) + 1) + 3))^2 + 4) + 3) where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = (1(4((-2(-3sin(3πx - 3) + 2) + 2)/(3(-3sin(3πx - 3) + 2) + 1))^2 + 5((-2(-3sin(3πx - 3) + 2) + 2)/(3(-3sin(3πx - 3) + 2) + 1)) + 2) + 3)/(3(4((-2(-3sin(3πx - 3) + 2) + 2)/(3(-3sin(3πx - 3) + 2) + 1))^2 + 5((-2(-3sin(3πx - 3) + 2) + 2)/(3(-3sin(3πx - 3) + 2) + 1)) + 2) + 1) where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = 1((3(-1e^(1(1x^2 + 1x - 4)) + 1) + 1)/(-1(-1e^(1(1x^2 + 1x - 4)) + 1) + 2)) + 1 where -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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