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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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