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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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