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

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

dataset: MATH


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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