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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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