[User]
Find the integer closest to the largest x-value where the functions f(x) = 2sin(3π((3(-4x^2 + 5x) + 3)/(3(-4x^2 + 5x) + 2)) + 3) - 2 and g(x) = (-1(3x^2 + 3x - 1))/(-1(3x^2 + 3x - 1) + 2) meet in the interval [-10, 10].

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

dataset: MATH


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (-1(-1(-3|x + 1| - 2)^2 - 5(-3|x + 1| - 2) + 5) + 3)/(-1(-1(-3|x + 1| - 2)^2 - 5(-3|x + 1| - 2) + 5) - 2) and g(x) = -1|((1x)/(2x - 1)) + 3| - 1 intersect in the interval [-10, 10]?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = (-1(-1|(-1x^2 - 5x - 5) - 2| + 1) + 2)/(-1(-1|(-1x^2 - 5x - 5) - 2| + 1) - 2) and g(x) = 2|(1sin(1πx - 2) + 3) + 1| + 3 meet in the interval [-10, 10].

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = 1((3(2e^(-1x) - 2) - 3)/(2(2e^(-1x) - 2)))^2 + 4((3(2e^(-1x) - 2) - 3)/(2(2e^(-1x) - 2))) and g(x) = (-1(1e^(-1x) + 1) - 2)/(1(1e^(-1x) + 1)) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 1|((1(-2x^2 - 5x - 2) + 1)/(1(-2x^2 - 5x - 2))) + 3| - 3 and g(x) = -5((-2x + 3)/(-1x + 3)) - 3 meet in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = -2|(1(1cos(2π((-1x)/(-1x)) - 2) + 1) - 1) + 2| + 3 and g(x) = (1(-1(2|x + 3| - 1) + 4) - 3)/(3(-1(2|x + 3| - 1) + 4) + 1) intersect in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = -1(-1(3|((2x + 2)/(-1x + 2)) - 3| + 1)^2 + 5(3|((2x + 2)/(-1x + 2)) - 3| + 1) + 1) - 1 and g(x) = 5(-5((2x + 1)/(-3x)) - 4)^2 - 5(-5((2x + 1)/(-3x)) - 4) + 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
If you add up all the x-coordinates where the functions f(x) = 2(1|((2x + 2)/(-3x - 2)) - 1|)^2 + 2(1|((2x + 2)/(-3x - 2)) - 1|) and g(x) = (-2(-3|x - 2| + 2) - 2)/(2(-3|x - 2| + 2) - 1) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (-1(-1|(3x^2 - 5x + 4) + 1| - 2) - 1)/(-1(-1|(3x^2 - 5x + 4) + 1| - 2) - 3) and g(x) = 3|((-3x + 2)/(-1x - 3)) + 1| - 1 intersect in the interval [-10, 10]?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = (-3(1(-2|x + 1|) + 2) - 1)/(1(1(-2|x + 1|) + 2)) and g(x) = 3cos(3π(2|x + 2|) + 1) + 3 meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (-1(5x))/(-3(5x) - 3) and g(x) = (-2x + 3)/(-1x - 2) meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (-2(-2|(-1x^2 - 4x - 5) + 3| + 1) - 2)/(-3(-2|(-1x^2 - 4x - 5) + 3| + 1) - 3) and g(x) = -4((-1x)/(-2x - 2))^2 + 2((-1x)/(-2x - 2)) + 1 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = (-2(3|(-2sin(1πx - 1) + 2) + 2|) - 2)/(1(3|(-2sin(1πx - 1) + 2) + 2|) + 2) and g(x) = (-3(1x - 2) - 1)/(-1(1x - 2) - 1) meet in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = (-1(-2|(-1x - 5) + 1| + 3) + 3)/(1(-2|(-1x - 5) + 1| + 3) + 3) and g(x) = 3(4x - 5)^2 - 1(4x - 5) + 4 intersect in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = 3(-1x + 4)^2 + 5(-1x + 4) + 3 and g(x) = (1x - 3)/(-1x + 2) intersect in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = (-1(1x^2 + 3) - 2)/(2(1x^2 + 3) + 1) and g(x) = (-3x + 3)/(2x + 2) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -1|(-1((-2x + 2)/(3x - 2)))| and g(x) = -1|(1x^2 + 3x + 3)| - 2 intersect in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = (2(-2|(1(-3x^2 + 4x + 4) + 3)| - 3) + 1)/(-3(-2|(1(-3x^2 + 4x + 4) + 3)| - 3) + 2) and g(x) = (-3(3(1x^2 - 2x - 3) + 5) - 1)/(-3(3(1x^2 - 2x - 3) + 5) + 4) intersect in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = -4(1|(-3x^2 + 1x - 4) + 3|) and g(x) = (-2(1x^2 + 5x - 2) + 2)/(3(1x^2 + 5x - 2) + 3) intersect in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = (-3(-5(3|(-3x^2 - 1x + 3) - 3| - 1) + 5) - 2)/(-3(-5(3|(-3x^2 - 1x + 3) - 3| - 1) + 5) - 3) and g(x) = 1e^(1(5(-2x^2 - 1x + 2) + 4)) - 3 intersect in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = 5x - 1 and g(x) = -1x^2 + 1x - 3 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
If you add up all the x-coordinates where the functions f(x) = -1|(-1(3sin(1π(1x - 4) - 3) - 2)^2 + 1(3sin(1π(1x - 4) - 3) - 2) + 2) + 3| and g(x) = 5(2|((1x - 2)/(2x + 2)) + 3| - 3) + 4 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = 1((-2x - 2)/(-3x + 4)) + 4 and g(x) = -5x + 2 intersect in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 1e^(-1((3(3(-5x^2 - 3x) + 2) + 1)/(-1(3(-5x^2 - 3x) + 2) - 2))) + 2 and g(x) = 1|(-3(-3x^2 - 4x - 1) + 4) - 2| meet in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = -1(-1|x + 1| - 3) - 3 and g(x) = -3x - 3 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -3sin(3π((2(3|x| + 3))/(3(3|x| + 3) - 1)) + 3) - 3 and g(x) = (-1(-4x^2 - 5x - 2) - 3)/(-1(-4x^2 - 5x - 2) - 1) intersect in the interval [-10, 10]?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -5((3(-2x^2 + 5x - 1) + 1)/(-3(-2x^2 + 5x - 1) - 2)) + 3 and g(x) = -3sin(1π((-2x)/(-2x + 3))) - 1 intersect in the interval [-10, 10].

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -3|((-1x - 2)/(1x - 3))| + 2 and g(x) = 3x - 4 intersect in the range -10 ≤ x ≤ 10.

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


[User]
At what integer value (rounded) do the functions f(x) = (3(-4x^2 + 3x - 3) + 2)/(-3(-4x^2 + 3x - 3) - 3) and g(x) = (-3x - 1)/(1x) intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 5(1e^(2(-4x + 5)))^2 - 2 and g(x) = 1|(2x^2 + 4x - 2)| + 3 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 1sin(2π(-5x^2 - 5x + 4) + 2) - 2 and g(x) = (-1x)/(2x + 1) intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -5(1|(3sin(3πx + 1) - 3) + 1| + 2) + 4 and g(x) = (1(3|x - 2|))/(1(3|x - 2|) - 2) intersect in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = 1|((-2(3x^2 + 5) + 3)/(2(3x^2 + 5) - 1)) + 2| + 2 and g(x) = 1e^(1(4x^2 + 1x - 5)) + 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 3|((1(2(-5x^2 - 2x - 1)) + 2)/(-3(2(-5x^2 - 2x - 1)) - 1)) + 2| and g(x) = 3((-2(-1x^2 - 3x) + 1)/(-3(-1x^2 - 3x) - 1)) - 1 meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 2(1cos(1πx + 1) - 3)^2 - 3(1cos(1πx + 1) - 3) - 2 and g(x) = -1x + 4 meet in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 3(-3cos(3π((-1x + 2)/(-3x - 2)) + 3) - 2)^2 + 4(-3cos(3π((-1x + 2)/(-3x - 2)) + 3) - 2) + 3 and g(x) = (-1(-2x + 1) - 3)/(-3(-2x + 1) - 1) meet in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = -1((1(2(2|x - 2| + 3)^2 + 5(2|x - 2| + 3) - 5) + 1)/(1(2(2|x - 2| + 3)^2 + 5(2|x - 2| + 3) - 5))) - 4 and g(x) = 3((-3(-2|x - 1| - 1) - 3)/(-2(-2|x - 1| - 1) - 3)) - 1 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = -3((-3x - 1)/(-2x + 3)) + 2 and g(x) = -3x - 1 meet in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = 2|((-2(-4x^2 - 4x - 5) - 1)/(-2(-4x^2 - 4x - 5) + 3)) - 3| + 1 and g(x) = 2((1x + 3)/(-1x + 3))^2 - 3((1x + 3)/(-1x + 3)) + 4 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -1(-3|(-5x^2 + 1x + 3)| + 1) + 4 and g(x) = 3((3x + 3)/(2x - 1))^2 - 4 meet in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = 3|(-1((2x + 2)/(-1x - 2)) - 2)| - 3 and g(x) = -5((-3x + 1)/(3x - 2)) - 1 intersect in the interval [-10, 10].

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = -2e^(-1(5x^2 - 2x + 3)) - 2 and g(x) = -3|x - 3| + 1 intersect in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = 1|(1sin(3πx - 2) - 2) - 1| - 1 and g(x) = (-1x - 3)/(-3x - 3) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -4((-1x + 1)/(-3x - 1))^2 - 4((-1x + 1)/(-3x - 1)) + 1 and g(x) = -5x - 2 meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -1sin(2π((3(4x + 4) + 2)/(-3(4x + 4) + 2)) + 2) - 2 and g(x) = 3e^(1(-3|x - 3|)) - 1 meet in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (1(-2e^(1(1|(-3x - 3) - 1|)) + 3) - 3)/(1(-2e^(1(1|(-3x - 3) - 1|)) + 3) + 2) and g(x) = -2|(2(1x^2 - 2x - 1) + 2) - 1| - 2 meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -5(-2|((-1(-1sin(2πx + 1) - 3) - 1)/(-1(-1sin(2πx + 1) - 3) - 3)) + 2| - 1) - 1 and g(x) = (1(-3(-1|x + 1| - 1) - 5) - 2)/(-2(-3(-1|x + 1| - 1) - 5) + 1) meet in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = -2(-3cos(2π((1(-3|x - 2| - 3) - 2)/(-1(-3|x - 2| - 3) + 2)) + 2) + 3) + 4 and g(x) = (-2(-1(1|x| + 1) + 4))/(-1(-1(1|x| + 1) + 4) + 3) intersect in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -3sin(2π(-2x^2 - 2x - 3)) - 3 and g(x) = (3x + 2)/(3x - 2) intersect in the interval [-10, 10].

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -5(-4x - 2)^2 + 5(-4x - 2) + 1 and g(x) = 5x + 4 intersect in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = (-2(1x - 1) - 2)/(-2(1x - 1) - 1) and g(x) = (2x + 1)/(3x - 2) meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -1|(-1(-2x - 2)^2 - 2(-2x - 2) + 2) - 3| + 1 and g(x) = 1e^(-2((1x + 3)/(-1x + 3))) - 1 meet in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = 2(-1e^(1(-2|(2x - 4) + 3| + 3)) + 2)^2 - 4(-1e^(1(-2|(2x - 4) + 3| + 3)) + 2) - 4 and g(x) = -1(-1cos(2π(2x + 5)) - 2)^2 - 3(-1cos(2π(2x + 5)) - 2) - 1 intersect in the interval [-10, 10]?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = (1(2(3x^2 - 3x - 5) + 3) + 3)/(2(2(3x^2 - 3x - 5) + 3) - 1) and g(x) = -2sin(3π(-2x + 4)) - 3 intersect in the interval [-10, 10].

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = 1((-3(-3|x - 1| + 1) + 3)/(-2(-3|x - 1| + 1) - 1))^2 - 1((-3(-3|x - 1| + 1) + 3)/(-2(-3|x - 1| + 1) - 1)) + 1 and g(x) = 5(-1x^2 - 3x + 2) + 2 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = -4(-1|(1((1x)/(-1x - 2))^2 + 3((1x)/(-1x - 2)) + 4)| - 3) - 1 and g(x) = 1(2(-3|x + 3| + 1) - 1)^2 - 4 intersect in the interval [-10, 10]?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 5((-3(3sin(1π(-3|x - 2| - 3) - 3) - 3) - 1)/(2(3sin(1π(-3|x - 2| - 3) - 3) - 3) - 1)) - 3 and g(x) = 1(-1|((3x - 3)/(-2x + 3))| + 3) + 4 meet in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (-2(-2|(-4x + 4) - 3| + 2) + 3)/(-3(-2|(-4x + 4) - 3| + 2) - 2) and g(x) = -4(1|x - 1| + 2)^2 + 4(1|x - 1| + 2) + 5 intersect in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -5x - 4 and g(x) = 1x^2 + 5x - 3 intersect in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (-1(3|(-2sin(2π(-3x^2 - 1x + 5) + 3)) + 3| - 1) + 3)/(-3(3|(-2sin(2π(-3x^2 - 1x + 5) + 3)) + 3| - 1) - 2) and g(x) = (1(3|(-2e^(1x) + 1)| - 2) + 3)/(-1(3|(-2e^(1x) + 1)| - 2) + 3) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -2sin(2π(-1|x - 2| - 3)) - 3 and g(x) = (-1x - 3)/(-2x - 2) meet in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 3((-3x - 1)/(1x + 3)) - 4 and g(x) = (-3x - 3)/(-3x - 2) meet in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = (-2(1|x - 3| - 2) - 3)/(-2(1|x - 3| - 2) - 3) and g(x) = 1x - 1 intersect in the interval [-10, 10]?

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = 3|(-4(5((-1x - 3)/(-3x + 1))^2 - 5((-1x - 3)/(-3x + 1)) - 4) + 2) + 1| + 3 and g(x) = (3(4(-2x^2 + 2) + 3) - 1)/(-3(4(-2x^2 + 2) + 3) - 2) in the interval [-10, 10], rounded to the nearest integer.

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


[User]
At what integer value (rounded) do the functions f(x) = 4((2(-1|(-1e^(-2x) + 1) + 3| + 3) + 3)/(1(-1|(-1e^(-2x) + 1) + 3| + 3))) - 5 and g(x) = -2sin(3π((2(-4x - 1) - 3)/(-2(-4x - 1) - 1)) - 3) + 3 intersect in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -3|(1cos(1πx - 3) + 1)| + 1 and g(x) = -2x^2 - 5x - 3 meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 3|(3e^(-1((1x - 3)/(-2x + 3))) + 1) - 1| and g(x) = (2(1cos(3πx - 1) - 3) + 1)/(1(1cos(3πx - 1) - 3)) meet in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 3|((1(4x + 2) + 2)/(-3(4x + 2) + 1))| + 1 and g(x) = 1|(1x) + 1| + 1 meet in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = -1|(-3x^2 - 4x - 1)| - 2 and g(x) = (-2x + 2)/(-1x - 3) intersect in the interval [-10, 10]?

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = -2(2(2|x| - 3) + 5)^2 + 4(2(2|x| - 3) + 5) - 3 and g(x) = -3((-1x - 1)/(-1x)) - 4 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = (3(-1e^(2(1x^2 + 3x + 4)) + 2) - 2)/(-3(-1e^(2(1x^2 + 3x + 4)) + 2) + 2) and g(x) = 5(1x + 5)^2 - 1(1x + 5) - 2 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -1cos(1π(5x + 5)) - 3 and g(x) = -4x - 3 intersect in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = 3|(4x + 4) - 3| + 3 and g(x) = 2|x + 2| + 3 intersect in the interval [-10, 10].

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = 1((2(-1|(4x - 4) + 3| - 3) - 2)/(-2(-1|(4x - 4) + 3| - 3)))^2 - 4((2(-1|(4x - 4) + 3| - 3) - 2)/(-2(-1|(4x - 4) + 3| - 3))) + 5 and g(x) = 2|((-3(2x - 4))/(-3(2x - 4) + 4)) + 3| meet in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = -5(-2x^2 - 2x + 5) and g(x) = (-2x - 3)/(3x - 2) intersect in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = 5(1x^2 - 1x - 5) - 4 and g(x) = 1|x - 1| - 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = -1(-1|(5((1x + 1)/(-2x))^2 - 2((1x + 1)/(-2x)) - 4) + 1| - 3) - 2 and g(x) = 3((3(-2|x - 1| + 2) + 3)/(-3(-2|x - 1| + 2))) + 4 meet in the interval [-10, 10].

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


[User]
At what integer value (rounded) do the functions f(x) = 3|(2sin(1πx) - 1) + 3| - 1 and g(x) = (-3x - 2)/(1x) intersect in the interval [-10, 10]?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 5(-4((2x - 2)/(2x - 3)) - 3)^2 - 5(-4((2x - 2)/(2x - 3)) - 3) - 4 and g(x) = (2(3x^2 - 2x + 3) + 2)/(-2(3x^2 - 2x + 3) + 3) meet in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = (2(1(-3|x - 3| + 2) + 5) - 3)/(1(1(-3|x - 3| + 2) + 5)) and g(x) = -3(3x - 5)^2 meet in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = 1|(-3cos(1πx + 1) + 1) + 2| - 1 and g(x) = 2|x + 3| + 3 intersect in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (1(2e^(-1x)) + 1)/(-1(2e^(-1x)) - 3) and g(x) = -3|x - 2| + 1 meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = 2(-2((-3x - 3)/(3x))^2 - 3((-3x - 3)/(3x)) + 3) + 3 and g(x) = 1(-3|x + 1| + 1)^2 - 1 intersect in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -4(-3|(-5((2x)/(-3x + 2))^2 + 4((2x)/(-3x + 2)) - 5) - 3| - 1) - 3 and g(x) = 2(4(1|x| + 2)^2 + 2(1|x| + 2)) + 4 meet in the interval [-10, 10]?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = -4(-1(3|((1x + 1)/(-3x - 2)) - 1| - 1)^2 - 4(3|((1x + 1)/(-3x - 2)) - 1| - 1) - 4) - 4 and g(x) = -1|((1(2cos(2πx) + 3) - 2)/(-2(2cos(2πx) + 3) + 3))| + 3 meet in the interval [-10, 10].

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -3(-1e^(2(2((-2x + 3)/(-2x - 1))^2 + 4((-2x + 3)/(-2x - 1)) + 2))) + 2 and g(x) = 2|(3(5x + 1)^2 - 4(5x + 1) + 2)| - 1 intersect in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -1|(1sin(2πx) + 2) - 3| and g(x) = 2|x - 1| - 1 meet in the interval [-10, 10].

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -1cos(2π((-3(1|x + 3|) - 2)/(-2(1|x + 3|) - 1)) - 1) + 2 and g(x) = 3((2x - 3)/(-1x + 2)) - 3 intersect in the range -10 ≤ x ≤ 10.

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


[User]
At what integer value (rounded) do the functions f(x) = 3((1x)/(-2x)) + 4 and g(x) = -5x - 4 intersect in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = (-3(4(-3|x - 3|)^2 + 4(-3|x - 3|) - 3))/(-2(4(-3|x - 3|)^2 + 4(-3|x - 3|) - 3) + 1) and g(x) = (1(2|x - 3| + 2) + 2)/(-2(2|x - 3| + 2) + 1) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = 3(2(-3|((2x + 2)/(1x - 3)) + 1|)^2 - 4) - 5 and g(x) = -1((1(2x^2 + 2x - 2) + 3)/(-1(2x^2 + 2x - 2) - 3)) - 2 meet in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = -2|(-3x) + 3| and g(x) = 1x - 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (-1(5(-2(1|x + 3| + 1) + 3)^2 - 2(-2(1|x + 3| + 1) + 3) - 4) - 1)/(1(5(-2(1|x + 3| + 1) + 3)^2 - 2(-2(1|x + 3| + 1) + 3) - 4)) and g(x) = 2|((-3(-2cos(1πx - 2) - 3) + 1)/(-1(-2cos(1πx - 2) - 3) + 2)) + 1| meet in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 1(-2e^(-1(-2(-3|x - 1| + 1)^2 - 1(-3|x - 1| + 1) + 5)) + 2) + 2 and g(x) = (2(-3(-2e^(1x) - 1) + 5))/(2(-3(-2e^(1x) - 1) + 5) + 1) meet in the interval [-10, 10]?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = (1(2e^(-2(-1x^2 - 5x - 1))) - 2)/(-1(2e^(-2(-1x^2 - 5x - 1))) - 3) and g(x) = 2(-1x + 1)^2 - 5(-1x + 1) - 2 meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 3|((2(-4x - 2) - 2)/(-1(-4x - 2) - 2)) + 1| + 3 and g(x) = 4((3x - 1)/(3x + 3))^2 - 5((3x - 1)/(3x + 3)) meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (1(2(4x^2 - 5x - 5) - 5) + 2)/(-2(2(4x^2 - 5x - 5) - 5)) and g(x) = 3(-2x - 4)^2 + 2(-2x - 4) - 2 intersect in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = (2(-3|x - 2|) - 1)/(-1(-3|x - 2|) + 2) and g(x) = 4x - 5 intersect in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -1cos(1π(2|((-3(1x^2 + 2x - 1) + 2)/(-2(1x^2 + 2x - 1))) - 1| + 2) + 3) - 1 and g(x) = (-2(3|(3x) + 3| - 3))/(-1(3|(3x) + 3| - 3) - 1) meet in the interval [-10, 10]?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -3e^(1(-1x^2 + 1x - 5)) + 3 and g(x) = -4x^2 - 5x + 2 meet in the interval [-10, 10].

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