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

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


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

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) = -5(5((2(-3|x - 1| - 1) + 1)/(-2(-3|x - 1| - 1) - 1)) - 2)^2 - 3(5((2(-3|x - 1| - 1) + 1)/(-2(-3|x - 1| - 1) - 1)) - 2) - 3 and g(x) = 2(-2|(4x^2 - 2x - 4) - 2| - 1) - 3 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(3|(-1e^(2x) - 2) + 2|)^2 - 3) + 1)/(-3(-1(3|(-1e^(2x) - 2) + 2|)^2 - 3) + 4) and g(x) = 1(1|(-3x - 2)| + 1)^2 + 1(1|(-3x - 2)| + 1) - 5 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) = -3e^(-1(2|(-4((1x + 2)/(-3x - 2)) - 1) - 1| - 1)) + 2 and g(x) = (3(-3(-1x^2 + 2x - 3) - 2) - 1)/(-2(-3(-1x^2 + 2x - 3) - 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(-1(3|(-2x) + 2| - 2)^2 - 5(3|(-2x) + 2| - 2)) - 3)/(-1(-1(3|(-2x) + 2| - 2)^2 - 5(3|(-2x) + 2| - 2)) - 1) and g(x) = -2(-3|(3cos(2πx - 3) - 1) - 1| - 2)^2 + 1(-3|(3cos(2πx - 3) - 1) - 1| - 2) + 4 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(5((1(1|x| - 3) + 2)/(-1(1|x| - 3) - 1)) + 2)^2 + 1(5((1(1|x| - 3) + 2)/(-1(1|x| - 3) - 1)) + 2) + 5 and g(x) = (-2(3(2x + 3)^2 + 5(2x + 3)) + 2)/(1(3(2x + 3)^2 + 5(2x + 3)) + 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) = (-3(2e^(-1(-3|x| + 1)) - 1) + 3)/(-3(2e^(-1(-3|x| + 1)) - 1) - 1) and g(x) = -1sin(3π((1x - 3)/(2x - 3)) + 3) - 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) = 1(4(-3|((-2x + 3)/(2x + 2)) - 2| + 1) + 2)^2 + 3 and g(x) = -2(-2(3sin(3πx - 3) + 2)^2 + 3(3sin(3πx - 3) + 2) - 1) + 1 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) = -4(-3e^(-2(4((-2x + 2)/(-1x - 1))^2 + 3((-2x + 2)/(-1x - 1)) - 1)) + 2) + 3 and g(x) = 2|(4((2x + 1)/(-1x + 3)) - 5) + 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(1|((-3(3x - 3) - 2)/(2(3x - 3) + 1)) - 3| - 2)^2 - 2(1|((-3(3x - 3) - 2)/(2(3x - 3) + 1)) - 3| - 2) + 4 and g(x) = 2cos(1π((-3(1x + 5) + 3)/(2(1x + 5) - 3)) - 3) - 1 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) = -2|(2(2e^(1x) + 1) + 3)| + 1 and g(x) = -1((1x - 1)/(-2x + 3))^2 + 2((1x - 1)/(-2x + 3)) + 4 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) = -5(3|(-2((-1x + 3)/(2x + 1)) + 1) + 3|)^2 - 3(3|(-2((-1x + 3)/(2x + 1)) + 1) + 3|) and g(x) = 1|(-1(5x^2 + 2x + 4) + 5) + 2| - 3 in the interval [-10, 10], rounded to the nearest integer.

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


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

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|(-1e^(-1((3(1x^2 + 3) + 3)/(-2(1x^2 + 3) - 3))) + 2) - 2| - 3 and g(x) = (2(1(1|x| - 3) - 3) + 3)/(-1(1(1|x| - 3) - 3) - 1) 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) = (-1(-1(5(-1|x + 2| - 1) - 1)^2 + 2(5(-1|x + 2| - 1) - 1) + 4) - 3)/(-1(-1(5(-1|x + 2| - 1) - 1)^2 + 2(5(-1|x + 2| - 1) - 1) + 4) + 3) and g(x) = (-2(1(-3x^2 - 1x) + 5) + 2)/(3(1(-3x^2 - 1x) + 5) + 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 leftmost x-coordinate where f(x) = (-2(-3(-3|x + 3| - 1)^2 - 1(-3|x + 3| - 1) - 2) + 2)/(2(-3(-3|x + 3| - 1)^2 - 1(-3|x + 3| - 1) - 2) - 3) and g(x) = 3|(-1x^2 + 2x + 1) - 2| - 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) = -2((2(2(-2|x| - 1)^2 - 1(-2|x| - 1) + 3) + 3)/(2(2(-2|x| - 1)^2 - 1(-2|x| - 1) + 3))) - 3 and g(x) = -2(3((-3x + 1)/(2x + 3))^2 - 4((-3x + 1)/(2x + 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) = 1(-4((-1x + 1)/(2x)) + 2)^2 - 3 and g(x) = -1(-3cos(2πx + 1))^2 - 1(-3cos(2πx + 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) = 1|(-5((-2(1x^2 - 5x) + 3)/(-1(1x^2 - 5x))) + 1) - 2| - 2 and g(x) = 5(-4(2|x - 1|) - 5)^2 - 1(-4(2|x - 1|) - 5) intersect in the range -10 ≤ x ≤ 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((-1(-2|(1x^2 - 2x + 5) - 2| - 3) + 1)/(2(-2|(1x^2 - 2x + 5) - 2| - 3) - 1)) + 2 and g(x) = 1((2(3e^(1x) - 3) + 2)/(-3(3e^(1x) - 3) + 1)) + 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) = (1(-1(3e^(2x) + 2) + 1) + 2)/(1(-1(3e^(2x) + 2) + 1) - 3) and g(x) = (2(-1x^2 + 2x + 4) + 2)/(2(-1x^2 + 2x + 4) - 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) = (2(-3(-1e^(-1x) + 2) - 2) + 2)/(3(-3(-1e^(-1x) + 2) - 2) + 2) and g(x) = (2(1x - 5) - 2)/(1(1x - 5) + 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|((-1(5(-1x + 4)^2 - 3(-1x + 4) - 4) - 1)/(3(5(-1x + 4)^2 - 3(-1x + 4) - 4) + 1)) - 3| + 3 and g(x) = -3sin(1π(2((-3x)/(1x + 3)) - 4) - 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 first x-coordinate (rounded to the nearest integer) where f(x) = -5((1(-4x^2 + 2x + 3) - 3)/(-1(-4x^2 + 2x + 3) - 3)) + 5 and g(x) = -1|((1x)/(3x + 2)) - 2| + 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) = -4(-2(1|((-1x)/(2x + 2)) + 1| + 1)^2 + 3(1|((-1x)/(2x + 2)) + 1| + 1)) + 2 and g(x) = -3(1(2e^(2x) + 3)^2 - 3(2e^(2x) + 3) - 5) + 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) = 5(3|((-2(-4x - 5) + 1)/(-1(-4x - 5) - 3)) - 2|)^2 + 1(3|((-2(-4x - 5) + 1)/(-1(-4x - 5) - 3)) - 2|) - 5 and g(x) = 4(-2|((3x + 3)/(3x)) - 1|) meet 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|(2((-2(-4x^2 + 5x - 5) + 3)/(-1(-4x^2 + 5x - 5) + 2)) + 1) + 1| - 1 and g(x) = -5((2(-1|x + 2| + 3) + 2)/(3(-1|x + 2| + 3) + 1)) - 3 in the interval [-10, 10], rounded to the nearest integer.

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) = -1sin(2π(5(1|(3x^2 + 1x + 3) + 3| - 3) + 2)) - 2 and g(x) = (2(4(-1x^2 - 5x + 2) + 1) + 2)/(2(4(-1x^2 - 5x + 2) + 1) + 3) intersect in the interval [-10, 10].

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


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

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

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


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

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|((-1(-4(-5x + 2)^2 - 4) + 3)/(2(-4(-5x + 2)^2 - 4) + 3))| - 1 and g(x) = 2|(-4((-1x + 1)/(2x - 3))^2 - 1) + 1| - 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) = 5(5(3|((-3x - 1)/(3x + 2)) - 2| + 3)^2 + 4(3|((-3x - 1)/(3x + 2)) - 2| + 3) - 3) - 2 and g(x) = 5(-2((3x + 1)/(2x - 3)) + 1)^2 + 5(-2((3x + 1)/(2x - 3)) + 1) + 2 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) = 2|(-1((3(4x + 4) - 3)/(3(4x + 4)))^2 + 4((3(4x + 4) - 3)/(3(4x + 4))) - 4) - 1| + 1 and g(x) = -4((2(-2|x + 3| + 2) - 2)/(2(-2|x + 3| + 2) - 1))^2 + 3((2(-2|x + 3| + 2) - 2)/(2(-2|x + 3| + 2) - 1)) + 5 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(-2(1sin(1πx + 1) + 2) + 1) + 1)/(1(-2(1sin(1πx + 1) + 2) + 1) - 3) and g(x) = (-3(4x^2 - 3x - 1) - 3)/(-1(4x^2 - 3x - 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(-2|((1(-1e^(2x) + 1) - 2)/(-1(-1e^(2x) + 1) - 1)) + 3| + 1)^2 + 3(-2|((1(-1e^(2x) + 1) - 2)/(-1(-1e^(2x) + 1) - 1)) + 3| + 1) + 2 and g(x) = -1e^(1(-2((-2x)/(3x - 2)) - 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(-3|(-1e^(1(1x - 2)) - 3)| + 2)^2 + 4(-3|(-1e^(1(1x - 2)) - 3)| + 2) - 4 and g(x) = -4(-2e^(-1((3x - 1)/(-3x - 1))) - 1) - 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(-1|((-2(1x^2 - 4x) - 1)/(-1(1x^2 - 4x) + 2)) - 2| - 2) - 1 and g(x) = -5(-4((3x - 3)/(1x)))^2 + 2(-4((3x - 3)/(1x))) - 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) = (2(-1(-2|(1x^2 - 2x - 3) + 3| + 2) - 5) - 3)/(3(-1(-2|(1x^2 - 2x - 3) + 3| + 2) - 5)) and g(x) = 1(-1|(-2cos(2πx + 2) + 2) + 3| + 1)^2 - 3(-1|(-2cos(2πx + 2) + 2) + 3| + 1) + 3 intersect in the range -10 ≤ x ≤ 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) = 2((-1(5(-2|x - 3| - 2) + 5) - 2)/(-2(5(-2|x - 3| - 2) + 5) + 3))^2 + 5 and g(x) = 4((-1(-2|x + 1| + 1) + 1)/(1(-2|x + 1| + 1)))^2 - 5((-1(-2|x + 1| + 1) + 1)/(1(-2|x + 1| + 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 first x-coordinate (rounded to the nearest integer) where f(x) = -2(3|(5((-2x - 1)/(-1x + 2)) + 1) + 3| - 3)^2 - 4(3|(5((-2x - 1)/(-1x + 2)) + 1) + 3| - 3) - 3 and g(x) = 5((2(3|x|))/(-1(3|x|) + 2)) - 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 x-coordinate where the graphs of f(x) = (3(1(2(-1|x + 1| + 1)^2 + 5) + 4) + 2)/(2(1(2(-1|x + 1| + 1)^2 + 5) + 4) - 3) and g(x) = (-2(-1(-3e^(-1x) - 3)^2 - 5(-3e^(-1x) - 3) + 1) + 1)/(3(-1(-3e^(-1x) - 3)^2 - 5(-3e^(-1x) - 3) + 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 leftmost x-coordinate where f(x) = 1(-3|((-1(1x^2 + 2x - 2) + 2)/(-1(1x^2 + 2x - 2) + 2)) + 1| + 3) and g(x) = -1e^(-1((-1(-5x^2 + 3x + 4) - 3)/(-2(-5x^2 + 3x + 4) - 2))) 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) = -5((-2(-1|(1x^2 - 5x - 5)| - 1))/(-1(-1|(1x^2 - 5x - 5)| - 1) + 2)) - 3 and g(x) = -4((1(1e^(-2x) - 1) - 1)/(-3(1e^(-2x) - 1)))^2 - 2((1(1e^(-2x) - 1) - 1)/(-3(1e^(-2x) - 1))) + 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(3(1|((2x - 2)/(1x + 3)) + 2| + 3) + 5)^2 + 2(3(1|((2x - 2)/(1x + 3)) + 2| + 3) + 5) - 4 and g(x) = -3(-3((-3x)/(2x + 2))^2 + 5((-3x)/(2x + 2)) - 1) - 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 leftmost x-coordinate where f(x) = -1cos(2π(3((-1x - 3)/(1x - 3)) + 4) + 3) and g(x) = -5(-2|x + 3| + 3) - 1 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(2|(3(-5x + 2)^2 - 4(-5x + 2) - 5)| - 2) - 3)/(-3(2|(3(-5x + 2)^2 - 4(-5x + 2) - 5)| - 2)) and g(x) = 1|(-4(-3x + 2)^2 + 3(-3x + 2) + 4) + 2| + 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) = 1(4((-3(-3cos(2πx - 3) + 1) + 2)/(3(-3cos(2πx - 3) + 1) + 1))^2 - 1((-3(-3cos(2πx - 3) + 1) + 2)/(3(-3cos(2πx - 3) + 1) + 1)) - 5) + 3 and g(x) = -3|(-1(-5x - 1)^2 - 3(-5x - 1) + 4) - 2| + 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) = 1(1|((-2x)/(1x + 2)) + 2| - 1) + 2 and g(x) = (-2(-1x^2 - 3x + 5) - 3)/(3(-1x^2 - 3x + 5) + 2) 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(1e^(1(-3x^2 - 2x + 5)) + 2) + 2)/(2(1e^(1(-3x^2 - 2x + 5)) + 2) - 3) and g(x) = -5(3e^(-1x) - 1)^2 + 1(3e^(-1x) - 1) + 1 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(-2|x - 3| + 1) + 5) - 2)/(-1(1(-2|x - 3| + 1) + 5) + 3) and g(x) = 1sin(2π(2|x - 3| + 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) = -1cos(2π(2|(4x^2 - 3x + 4) - 3| + 2) - 3) - 3 and g(x) = -1sin(1π(-5x - 5) - 1) - 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) = (3(-1|(-2(3x + 4)^2 + 2(3x + 4) + 3) - 3| + 2))/(-3(-1|(-2(3x + 4)^2 + 2(3x + 4) + 3) - 3| + 2) + 4) and g(x) = (-1(2(1|x - 3| - 3) - 1) - 2)/(1(2(1|x - 3| - 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) = -5(1e^(1((-3(2x) - 3)/(-2(2x) + 3))) + 1)^2 - 2(1e^(1((-3(2x) - 3)/(-2(2x) + 3))) + 1) + 2 and g(x) = -1|(1e^(-1((-3x)/(3x + 3))) - 1) - 2| + 1 intersect in the range -10 ≤ x ≤ 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|(1e^(-2((3(5x^2 + 5x + 4) + 2)/(2(5x^2 + 5x + 4) + 3))) + 3) + 3| + 3 and g(x) = -3((-3(-5x^2 + 4x - 2) + 3)/(-1(-5x^2 + 4x - 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]
Find the integer closest to the smallest x-value where the functions f(x) = 3(-2|(4((-1x + 1)/(2x))^2 + 5((-1x + 1)/(2x)) + 5) - 1| - 3) - 1 and g(x) = 3(-1e^(-1(-5x^2 + 2x)) - 1) + 5 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) = -5((3(-1cos(1πx - 2) + 1) - 1)/(1(-1cos(1πx - 2) + 1) + 2))^2 + 1((3(-1cos(1πx - 2) + 1) - 1)/(1(-1cos(1πx - 2) + 1) + 2)) + 5 and g(x) = 4(1|x - 3| - 1) + 4 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) = 2|(-1(5((-1x + 1)/(-3x + 1)) + 1)^2 + 4(5((-1x + 1)/(-3x + 1)) + 1) - 4) - 1| - 2 and g(x) = (1(3|(3x + 4) + 1| - 1))/(-2(3|(3x + 4) + 1| - 1) - 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 rightmost x-coordinate where f(x) = 1(-2(-1e^(1x) + 3) + 1)^2 - 1(-2(-1e^(1x) + 3) + 1) and g(x) = -3sin(1π((-3x)/(2x + 2)) - 1) + 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 rightmost x-coordinate where f(x) = -2|(2sin(3π((2(-1x - 2) + 2)/(-3(-1x - 2) + 1)) + 2) - 2) + 2| + 1 and g(x) = 1|(4(5x + 4)^2 + 2(5x + 4) - 2) - 1| - 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) = -1(4(1cos(1π((-1x - 3)/(3x + 2)) - 3) + 3) + 4)^2 + 5(4(1cos(1π((-1x - 3)/(3x + 2)) - 3) + 3) + 4) - 1 and g(x) = -2(1|((-3x + 1)/(-3x + 2)) + 1| - 1) + 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(3|(5((-3x)/(3x + 3))^2 + 3((-3x)/(3x + 3)) - 5) - 1| + 1) + 4 and g(x) = 1((3(3|x - 1| - 3) + 2)/(-2(3|x - 1| - 3) + 3)) + 5 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|(4((-2(5x - 2) + 2)/(-3(5x - 2) + 1))^2 - 5((-2(5x - 2) + 2)/(-3(5x - 2) + 1)) - 5) - 2| - 2 and g(x) = 3cos(1π(-2|(-1x^2 - 3x + 4) - 1| + 1) + 3) - 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]
Find the integer closest to the largest x-value where the functions f(x) = 1|(1(2((2x + 2)/(2x - 3))^2 + 2((2x + 2)/(2x - 3)) - 3) - 2) + 1| + 2 and g(x) = 5(2((1x - 1)/(1x + 2)) - 4)^2 - 2(2((1x - 1)/(1x + 2)) - 4) + 5 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) = (3(1(1(-1e^(1x) + 1)^2 - 5(-1e^(1x) + 1) + 2) + 5) + 3)/(3(1(1(-1e^(1x) + 1)^2 - 5(-1e^(1x) + 1) + 2) + 5) + 3) and g(x) = -2(-1|((-1x - 3)/(-3x + 2)) - 2| + 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(-3((-1(-2|x| - 1))/(-3(-2|x| - 1) - 1)) + 3)^2 + 3 and g(x) = -1(3|((1x + 3)/(-2x + 1)) + 2| - 1) + 2 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) = 5((3(2|(-2x^2 + 3x) - 1| + 2) + 3)/(1(2|(-2x^2 + 3x) - 1| + 2) + 2)) + 1 and g(x) = 3|((-3(2x + 2) - 3)/(2(2x + 2) + 3)) - 2| + 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(-1cos(3π(1|x + 1| + 3) + 3) + 1) + 2)/(-3(-1cos(3π(1|x + 1| + 3) + 3) + 1) - 2) and g(x) = -1((-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) = -3|((1(-2(2x)^2 + 5(2x) - 1) + 2)/(2(-2(2x)^2 + 5(2x) - 1) - 1)) + 1| + 2 and g(x) = -1(5(3|x + 3| + 1)^2 + 4(3|x + 3| + 1) - 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]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = (-2(-1(3|x - 3| + 3)^2 + 2(3|x - 3| + 3) - 2) - 1)/(-2(-1(3|x - 3| + 3)^2 + 2(3|x - 3| + 3) - 2) - 3) and g(x) = 2e^(1((-2x + 1)/(2x - 3))) - 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) = -2|(2(-1e^(2((2x - 2)/(2x + 3))) + 3)^2 + 2(-1e^(2((2x - 2)/(2x + 3))) + 3) - 5) - 1| - 1 and g(x) = 3e^(-1(4(-1x + 2)^2 + 2(-1x + 2) + 3)) - 2 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(3|(-4(5x^2 - 3x - 2) - 5) + 2| - 2) - 1)/(2(3|(-4(5x^2 - 3x - 2) - 5) + 2| - 2) + 2) and g(x) = -3|(1(4x - 5)^2 + 4(4x - 5) + 4) + 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 third x-coordinate (rounded to the nearest integer) where f(x) = 1(3|((-2x + 3)/(-3x - 3))| - 3)^2 - 4(3|((-2x + 3)/(-3x - 3))| - 3) and g(x) = 1|((-1x - 2)/(2x + 1)) + 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) = 1(3(-1|((1x - 1)/(2x + 2)) - 1| + 2) - 1)^2 - 3(3(-1|((1x - 1)/(2x + 2)) - 1| + 2) - 1) + 3 and g(x) = 1(4(3|x + 2| + 2) - 3)^2 + 5(4(3|x + 2| + 2) - 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 sum of all x-coordinates (rounded to the nearest integer) where f(x) = 3|((3(-3e^(-1(4x^2 - 3x + 1)) + 3) - 1)/(1(-3e^(-1(4x^2 - 3x + 1)) + 3) + 3)) - 3| - 3 and g(x) = 3(-1((-1x + 2)/(-1x - 1)) - 3)^2 - 2(-1((-1x + 2)/(-1x - 1)) - 3) - 4 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(3cos(1π((-1x + 3)/(1x + 2)) - 1) - 1) - 3 and g(x) = -1(1|x - 2| + 1) - 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) = -2(-2|((-2x - 1)/(-1x - 1)) - 2| - 3)^2 + 3(-2|((-2x - 1)/(-1x - 1)) - 2| - 3) - 3 and g(x) = -2|(-3x + 5) + 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) = (2(-4(-3(1cos(2πx - 2)) + 4)^2 + 2(-3(1cos(2πx - 2)) + 4) - 4) + 1)/(3(-4(-3(1cos(2πx - 2)) + 4)^2 + 2(-3(1cos(2πx - 2)) + 4) - 4) + 3) and g(x) = -1(-3|(-5x + 4) - 2| + 2)^2 + 5(-3|(-5x + 4) - 2| + 2) + 2 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) = -2(-3cos(3π(1x + 4) + 1) - 3)^2 + 3(-3cos(3π(1x + 4) + 1) - 3) - 3 and g(x) = (3(1|x - 2| - 2) + 2)/(-2(1|x - 2| - 2) - 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(4(-2cos(1π(1|x + 2| - 1) - 3) - 2)^2 - 3(-2cos(1π(1|x + 2| - 1) - 3) - 2) - 2) - 1)/(-1(4(-2cos(1π(1|x + 2| - 1) - 3) - 2)^2 - 3(-2cos(1π(1|x + 2| - 1) - 3) - 2) - 2) + 2) and g(x) = 4(-1|(-1x^2 + 3x + 1) - 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) = -1cos(3π((2(-2x^2 - 3x + 3) + 1)/(1(-2x^2 - 3x + 3)))) + 3 and g(x) = 1|(-1x - 5) - 2| 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|(2e^(2((2x - 3)/(2x - 1))) - 2)| + 3 and g(x) = 2e^(-2((2x - 1)/(-2x - 2))) - 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(3(2(-1|x - 1| - 3) - 2)^2 - 1(2(-1|x - 1| - 3) - 2) + 4) - 3)/(-1(3(2(-1|x - 1| - 3) - 2)^2 - 1(2(-1|x - 1| - 3) - 2) + 4) + 2) and g(x) = 2(2e^(-2((-2x)/(-1x + 3)))) - 2 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) = -4(2|(4((-3x - 3)/(1x + 2))^2 + 3((-3x - 3)/(1x + 2)) + 5) + 1| + 3) and g(x) = (2(-1|(-4x^2 + 1x) + 1|) + 1)/(-3(-1|(-4x^2 + 1x) + 1|) - 3) intersect in the range -10 ≤ x ≤ 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((-2(1|(3x - 3) + 2| - 2) - 2)/(2(1|(3x - 3) + 2| - 2) + 2))^2 - 3((-2(1|(3x - 3) + 2| - 2) - 2)/(2(1|(3x - 3) + 2| - 2) + 2)) - 4 and g(x) = (3(1|(5x - 1) + 3| - 2))/(-1(1|(5x - 1) + 3| - 2) + 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]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -1|((1(4(5x - 3)^2 - 4(5x - 3) - 4))/(-1(4(5x - 3)^2 - 4(5x - 3) - 4) + 3)) - 3| - 2 and g(x) = -4(2|((-2x - 3)/(-1x - 3)) + 2| + 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) = 1(1|((-1(2x^2 - 4x + 3) - 1)/(2(2x^2 - 4x + 3) + 3)) + 1| + 1) - 5 and g(x) = -1(2|(-1x + 4) + 2| - 3)^2 - 4(2|(-1x + 4) + 2| - 3) - 3 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((3(5x + 5) + 1)/(-2(5x + 5) + 3))^2 + 5((3(5x + 5) + 1)/(-2(5x + 5) + 3)) - 4 and g(x) = -1cos(2π(5x^2 - 3x - 4) - 3) + 3 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((-1(-1(1|x + 3| + 1)^2 + 1(1|x + 3| + 1) + 5) - 3)/(-3(-1(1|x + 3| + 1)^2 + 1(1|x + 3| + 1) + 5) + 2)) + 1 and g(x) = (-2(1|(-1x^2 + 2x - 3) - 1| + 3) + 1)/(-1(1|(-1x^2 + 2x - 3) - 1| + 3)) 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(3(1e^(1x))^2 - 2(1e^(1x)) - 4) + 2)/(1(3(1e^(1x))^2 - 2(1e^(1x)) - 4) + 1) and g(x) = 4((3x - 3)/(2x + 3)) - 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) = -2((1(1e^(-2x) + 3) - 2)/(-1(1e^(-2x) + 3) - 1))^2 + 1((1(1e^(-2x) + 3) - 2)/(-1(1e^(-2x) + 3) - 1)) + 1 and g(x) = -3((3x - 2)/(1x + 2))^2 + 2((3x - 2)/(1x + 2)) + 4 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) = (2(2(-2|x + 3| - 2) + 1) + 2)/(-1(2(-2|x + 3| - 2) + 1) - 2) and g(x) = -1((3x)/(-1x + 2))^2 - 2((3x)/(-1x + 2)) - 4 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) = 2(1sin(2π(-3(-2|x - 1| - 3)^2 + 2(-2|x - 1| - 3) - 3) + 3) - 2) - 5 and g(x) = (-3(5(-3x^2 + 4x + 1) + 5))/(3(5(-3x^2 + 4x + 1) + 5) - 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) = -1|(-3(-1((-1x - 3)/(2x + 3)) - 2)^2 + 4(-1((-1x - 3)/(2x + 3)) - 2) - 3) + 3| + 2 and g(x) = -2|((-2(-1cos(1πx - 2)) + 1)/(2(-1cos(1πx - 2)) - 3)) - 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) = -5((3(-4(-3|x + 3| + 1)^2 - 5(-3|x + 3| + 1) - 5) + 2)/(-3(-4(-3|x + 3| + 1)^2 - 5(-3|x + 3| + 1) - 5) - 2)) + 3 and g(x) = (3(5(-4x^2 + 5x + 3) + 5) - 3)/(-2(5(-4x^2 + 5x + 3) + 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) = (-3(-2(-1e^(1x) - 1)^2 - 2(-1e^(1x) - 1) - 5) - 2)/(-2(-2(-1e^(1x) - 1)^2 - 2(-1e^(1x) - 1) - 5) + 3) and g(x) = -1(-2e^(1x) + 2)^2 - 4(-2e^(1x) + 2) 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) = -1(2((3x - 2)/(2x - 1))^2 - 5((3x - 2)/(2x - 1)) + 1) + 1 and g(x) = -3e^(2((-3x + 3)/(-2x))) - 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 second x-coordinate (rounded to the nearest integer) where f(x) = 1e^(2((2(-5x + 3) + 2)/(2(-5x + 3) + 1))) - 2 and g(x) = (-3(3x + 3) - 3)/(-3(3x + 3) - 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) = (2(2(2|(-2cos(2πx - 1) + 2) - 1| + 3)^2 + 3(2|(-2cos(2πx - 1) + 2) - 1| + 3) - 2))/(3(2(2|(-2cos(2πx - 1) + 2) - 1| + 3)^2 + 3(2|(-2cos(2πx - 1) + 2) - 1| + 3) - 2) - 2) and g(x) = -1|(1((-2x - 3)/(2x + 2))^2 - 5((-2x - 3)/(2x + 2)) + 2) - 3| + 2 meet in the interval [-10, 10]?

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


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

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) = -3sin(2π(-3|(-3((3x + 2)/(-1x))^2 - 3((3x + 2)/(-1x)) + 1) + 1| + 3)) - 3 and g(x) = 1((3(-2x^2 + 5x - 3) + 1)/(2(-2x^2 + 5x - 3) + 1)) + 5 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(-5(1e^(2x) + 1)^2 + 5(1e^(2x) + 1) - 2) - 3)/(1(-5(1e^(2x) + 1)^2 + 5(1e^(2x) + 1) - 2) + 3) and g(x) = 4((-2x)/(-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|(-2cos(2π((-2x - 2)/(-2x - 3)) + 1) - 3) - 2| + 1 and g(x) = 3|((1x)/(1x + 1)) - 3| - 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(-1|(-4x^2 + 4x - 4) + 3| + 3) + 4) - 3)/(1(-1(-1|(-4x^2 + 4x - 4) + 3| + 3) + 4)) and g(x) = 4((-3(-4x + 3) + 1)/(-3(-4x + 3) - 3))^2 - 2((-3(-4x + 3) + 1)/(-3(-4x + 3) - 3)) - 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]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -1|(2(1cos(3π((3x + 3)/(-3x)) + 1) - 1)^2 + 1) - 1| - 2 and g(x) = -3((3(3x - 5) - 3)/(-2(3x - 5) + 3))^2 - 4((3(3x - 5) - 3)/(-2(3x - 5) + 3)) + 3 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) = -4((1(-1x^2 - 2x + 1) - 2)/(-1(-1x^2 - 2x + 1) - 3)) + 3 and g(x) = -2|((2x - 2)/(-3x + 1)) + 3| - 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) = -5(-5((3(-1|x - 2| + 1))/(-1(-1|x - 2| + 1) - 3))^2 - 5((3(-1|x - 2| + 1))/(-1(-1|x - 2| + 1) - 3)) + 5) + 3 and g(x) = 3((-3(3x - 1) + 2)/(-3(3x - 1) + 4))^2 - 2((-3(3x - 1) + 2)/(-3(3x - 1) + 4)) + 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) = -3|(-3(1((3x + 1)/(3x)) - 5)^2 - 2(1((3x + 1)/(3x)) - 5)) + 3| + 2 and g(x) = (2(-4(2|x - 3| + 3)^2 + 4(2|x - 3| + 3) - 2) - 3)/(3(-4(2|x - 3| + 3)^2 + 4(2|x - 3| + 3) - 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 rightmost x-coordinate where f(x) = -3(5((1(-3|x + 2| + 3) - 2)/(-2(-3|x + 2| + 3) + 3)) + 1)^2 + 1(5((1(-3|x + 2| + 3) - 2)/(-2(-3|x + 2| + 3) + 3)) + 1) + 3 and g(x) = (2(1(-5x^2 + 5x - 1) - 3) + 1)/(2(1(-5x^2 + 5x - 1) - 3) + 3) 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) = 1|(1(-4((-1x + 3)/(1x + 2)) + 1)^2 - 1(-4((-1x + 3)/(1x + 2)) + 1) - 2)| + 2 and g(x) = 4(3|((2x - 1)/(-1x + 3))| + 2) intersect in the range -10 ≤ x ≤ 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) = 5(-1|(1e^(-1((-2x + 2)/(-2x))) - 3) - 3| - 1) + 1 and g(x) = -4(2|((1x - 1)/(-3x + 4)) - 1| + 1)^2 + 3(2|((1x - 1)/(-3x + 4)) - 1| + 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) = 4((3(-4(-1|x + 2| - 1)) - 2)/(-3(-4(-1|x + 2| - 1)) + 2))^2 - 2((3(-4(-1|x + 2| - 1)) - 2)/(-3(-4(-1|x + 2| - 1)) + 2)) - 5 and g(x) = (-1(-2(3x + 2)^2 - 2(3x + 2) + 4) + 2)/(-3(-2(3x + 2)^2 - 2(3x + 2) + 4) - 3) 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(2|(1((-1x + 3)/(-1x + 3)) + 4) + 2|)^2 - 4(2|(1((-1x + 3)/(-1x + 3)) + 4) + 2|) and g(x) = -1|(-4(-3e^(1x))^2 - 1(-3e^(1x)) + 2) + 1| - 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 x-coordinate where the graphs of f(x) = 2|(4((1x - 1)/(1x + 2)) - 5)| - 1 and g(x) = (-3(-2x^2 - 2x - 1) - 1)/(-2(-2x^2 - 2x - 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) = -4(1|(-1e^(-2((-1x - 3)/(-1x - 1)))) + 3| - 3) + 3 and g(x) = -2|(-1(3sin(2πx - 1) - 2)^2 - 1(3sin(2πx - 1) - 2) - 2) + 1| - 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) = 2|((-1(-3(-2x - 2)^2 - 5(-2x - 2) - 1) - 2)/(3(-3(-2x - 2)^2 - 5(-2x - 2) - 1) + 1)) - 1| + 3 and g(x) = 1|(-1e^(1(4x^2 + 1x - 3)) + 2) + 1| - 2 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) = -4((-2(2(2|x + 1| + 2) - 3) - 3)/(2(2(2|x + 1| + 2) - 3)))^2 - 1 and g(x) = (-2(2(-1x)^2 - 3) - 2)/(-3(2(-1x)^2 - 3) - 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^(-2((3(3x - 5) - 3)/(1(3x - 5)))) and g(x) = -1sin(3π(3x^2 + 4x + 4)) + 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) = -3|(2cos(3π(5((1x - 2)/(-3x)) + 3) + 3)) + 2| + 1 and g(x) = -2(1e^(1(-1x^2 - 2)) + 3) - 5 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(-2(-3|(-3x - 2) - 3| + 1)^2 + 5(-3|(-3x - 2) - 3| + 1) - 3) + 1)/(1(-2(-3|(-3x - 2) - 3| + 1)^2 + 5(-3|(-3x - 2) - 3| + 1) - 3) - 3) and g(x) = (3(-1(-1|x + 3| - 1) - 1))/(-1(-1(-1|x + 3| - 1) - 1) - 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) = -4(-3((2(-1|x - 2| - 2) - 1)/(-1(-1|x - 2| - 2) + 2)) - 1)^2 - 2 and g(x) = -3(3|((-2x + 2)/(1x + 2)) + 1| - 2)^2 - 3(3|((-2x + 2)/(1x + 2)) + 1| - 2) + 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]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -3(-3cos(1π(-2|((1x + 1)/(-3x + 1))| + 3) + 3) - 3)^2 + 2(-3cos(1π(-2|((1x + 1)/(-3x + 1))| + 3) + 3) - 3) - 1 and g(x) = -1(2|(4x - 5) - 2| + 2)^2 - 1(2|(4x - 5) - 2| + 2) - 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) = (-1(-2e^(1(-1|(-2x^2 - 2x + 2) + 1| + 3))) - 2)/(2(-2e^(1(-1|(-2x^2 - 2x + 2) + 1| + 3))) - 1) and g(x) = 1|(1(2e^(2x) + 1) + 3) - 3| + 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 x-coordinate where the graphs of f(x) = -4(-2|(1((3x - 2)/(-1x - 1)) + 3) + 3| - 1)^2 - 3 and g(x) = (3(-4(-1x^2 - 4x + 2) + 2) + 3)/(-1(-4(-1x^2 - 4x + 2) + 2) + 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) = -1(1sin(1π(-3|x|) + 3) - 1) - 1 and g(x) = 3((2x + 1)/(-1x))^2 - 5((2x + 1)/(-1x)) 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) = -5((2(1|(4x + 4) + 2| - 3) - 3)/(2(1|(4x + 4) + 2| - 3) + 2))^2 + 2((2(1|(4x + 4) + 2| - 3) - 3)/(2(1|(4x + 4) + 2| - 3) + 2)) + 5 and g(x) = -2cos(2π(-2|(-2x - 1) + 2| - 1) - 3) - 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) = 2(-3((-3(-3|x| - 3) - 1)/(-1(-3|x| - 3)))^2 + 4((-3(-3|x| - 3) - 1)/(-1(-3|x| - 3))) + 3) - 1 and g(x) = -1(3|(3x - 1) - 2| - 1)^2 + 5(3|(3x - 1) - 2| - 1) + 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 rightmost x-coordinate where f(x) = -2e^(2((3(-5(-1x + 2)^2 - 4(-1x + 2) + 2) + 2)/(-1(-5(-1x + 2)^2 - 4(-1x + 2) + 2) + 2))) - 3 and g(x) = -1((3(1|x| - 3) - 3)/(-1(1|x| - 3))) + 4 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(-2e^(-2(2|((-1x + 3)/(1x + 2)) + 1| - 2)) + 2) and g(x) = 2(3|(-5x^2 + 5x + 4) - 3| - 3) + 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|((-2(5(5x^2 + 3x - 3) - 5) + 1)/(3(5(5x^2 + 3x - 3) - 5) + 1)) + 2| - 2 and g(x) = -1|(2((1x)/(-1x + 3)) - 5) - 3| + 1 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) = -5((2(1|(1x^2 + 4x + 5) - 1| - 3) - 3)/(-2(1|(1x^2 + 4x + 5) - 1| - 3) - 2)) + 1 and g(x) = -2|(-2((2x + 3)/(-2x - 2))^2 + 3((2x + 3)/(-2x - 2)))| + 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 x-coordinate where the graphs of f(x) = 5(3cos(1π(3|x - 2| + 3) + 1) + 3)^2 + 3(3cos(1π(3|x - 2| + 3) + 1) + 3) + 4 and g(x) = (-2(5x - 4) + 2)/(-1(5x - 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) = -4(-1|(2((-1x - 2)/(-1x + 2)) - 4) + 3| + 1)^2 + 4(-1|(2((-1x - 2)/(-1x + 2)) - 4) + 3| + 1) + 2 and g(x) = -3|(-2e^(2(3x^2 + 4x)) + 2) - 3| + 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(-4((1(3|x + 1| - 1) + 1)/(1(3|x + 1| - 1) - 3)))^2 - 2(-4((1(3|x + 1| - 1) + 1)/(1(3|x + 1| - 1) - 3))) - 5 and g(x) = 2sin(2π(-3|((-1x + 1)/(2x - 3))| - 2) - 3) - 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) = -3|((1(-3e^(1x) - 2) - 1)/(1(-3e^(1x) - 2) + 2)) - 2| - 1 and g(x) = -3e^(-1(-2x^2 + 2x + 2)) - 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 sum of all x-coordinates (rounded to the nearest integer) where f(x) = (2(-5(-1cos(3π(-3|x + 2| + 2) + 2) - 3)^2 + 4(-1cos(3π(-3|x + 2| + 2) + 2) - 3) + 5))/(-2(-5(-1cos(3π(-3|x + 2| + 2) + 2) - 3)^2 + 4(-1cos(3π(-3|x + 2| + 2) + 2) - 3) + 5) - 2) and g(x) = 1((3(-5x + 1))/(-1(-5x + 1) - 2))^2 - 2((3(-5x + 1))/(-1(-5x + 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 smallest x-value where the functions f(x) = 3(3(-1|((-2x + 3)/(-2x)) - 3| - 3) - 3)^2 - 4(3(-1|((-2x + 3)/(-2x)) - 3| - 3) - 3) + 4 and g(x) = 4(3|(4x^2 + 4x - 3) + 1| - 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) = -5(-2|((-3x + 3)/(2x + 3)) - 3| - 1)^2 - 4(-2|((-3x + 3)/(2x + 3)) - 3| - 1) + 5 and g(x) = (1(-3cos(1πx - 1)) - 1)/(1(-3cos(1πx - 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) = -4(1|((-3x)/(1x - 3)) - 3| + 3) and g(x) = -4((-2x)/(3x - 2))^2 + 1((-2x)/(3x - 2)) + 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]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = 2(5((-2x + 2)/(3x - 2))^2 + 1((-2x + 2)/(3x - 2)) + 3) + 2 and g(x) = (-3(-4x^2 + 3x + 3) + 1)/(-2(-4x^2 + 3x + 3) - 1) 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) = -1e^(-1((-3(3x + 4) - 2)/(-2(3x + 4) - 2))) - 2 and g(x) = (1(-2|x + 3| + 2) - 1)/(-1(-2|x + 3| + 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) = 2e^(2(1(1x^2 - 5x + 5) - 5)) - 3 and g(x) = 3sin(1π((1x + 3)/(-3x - 2)) + 1) + 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]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = -4(-3((2x + 2)/(3x - 1))^2 + 4((2x + 2)/(3x - 1)) + 3) - 4 and g(x) = 1sin(2π(-3x^2 + 4x - 5) + 3) + 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) = -5(-2|(-3x^2 - 5x - 5) + 3| - 1) - 1 and g(x) = 2|((2x - 1)/(2x + 2)) + 2| - 3 intersect in the interval [-10, 10].

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


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

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 4((-1(-4(2|x - 3| - 1)^2 - 3(2|x - 3| - 1) - 2) + 2)/(-1(-4(2|x - 3| - 1)^2 - 3(2|x - 3| - 1) - 2) + 2)) and g(x) = -4(1|((-3x - 2)/(2x + 3)) - 2|)^2 - 3(1|((-3x - 2)/(2x + 3)) - 2|) + 5 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(1|((-3(-1x^2 + 4x - 3) + 3)/(3(-1x^2 + 4x - 3))) + 3| + 1) - 3 and g(x) = 5(5(-3e^(2x) + 3) - 5)^2 + 4(5(-3e^(2x) + 3) - 5) - 2 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) = -4(2e^(-1(-1(-1|x| - 1))) + 2)^2 + 1(2e^(-1(-1(-1|x| - 1))) + 2) - 3 and g(x) = (2(-2e^(1(1|x + 3|)) + 1) + 3)/(-1(-2e^(1(1|x + 3|)) + 1) - 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(-4(-2|(-1x + 3) + 1| - 3)^2 - 5(-2|(-1x + 3) + 1| - 3) + 4) - 1)/(3(-4(-2|(-1x + 3) + 1| - 3)^2 - 5(-2|(-1x + 3) + 1| - 3) + 4) + 2) and g(x) = 3((-2(3e^(-1x) - 2))/(-2(3e^(-1x) - 2) + 3)) - 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|((-1(-2(-3x^2 + 1x - 2) + 3))/(2(-2(-3x^2 + 1x - 2) + 3))) + 1| - 2 and g(x) = 1((3(2|x + 1| - 3) - 3)/(1(2|x + 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]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -2|(1((1(2x - 2) - 2)/(-1(2x - 2) - 3))^2 + 1((1(2x - 2) - 2)/(-1(2x - 2) - 3))) + 1| - 3 and g(x) = -4(2|(3e^(1x) - 1) - 1| + 3)^2 + 2(2|(3e^(1x) - 1) - 1| + 3) + 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) = -4(2|(-4((3x)/(3x - 2)) - 4)| - 1)^2 + 4(2|(-4((3x)/(3x - 2)) - 4)| - 1) + 3 and g(x) = -2|(-1((-2x + 1)/(3x - 1))^2 - 4((-2x + 1)/(3x - 1)) + 5) + 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(5(-5x - 5)^2 + 5(-5x - 5) - 3) - 2)/(1(5(-5x - 5)^2 + 5(-5x - 5) - 3)) and g(x) = -2e^(-1(-3|x - 2| + 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) = 1e^(1(-2(-3|x + 3|)^2 - 1(-3|x + 3|) - 2)) + 3 and g(x) = 1e^(2(1|x - 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 second x-coordinate (rounded to the nearest integer) where f(x) = 1(-3|((-1(4x - 3) + 2)/(-3(4x - 3) + 2)) - 3| - 1)^2 - 3(-3|((-1(4x - 3) + 2)/(-3(4x - 3) + 2)) - 3| - 1) - 3 and g(x) = 5((1(1|x - 1| + 2) - 1)/(3(1|x - 1| + 2) - 1))^2 - 2((1(1|x - 1| + 2) - 1)/(3(1|x - 1| + 2) - 1)) + 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) = -5((-1(3sin(1πx + 3) + 3) + 3)/(3(3sin(1πx + 3) + 3) - 2))^2 + 3((-1(3sin(1πx + 3) + 3) + 3)/(3(3sin(1πx + 3) + 3) - 2)) - 4 and g(x) = (2(3|x - 2| - 1) - 2)/(2(3|x - 2| - 1)) 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) = 5((2(3|x + 1|) - 2)/(1(3|x + 1|) - 2))^2 - 3((2(3|x + 1|) - 2)/(1(3|x + 1|) - 2)) - 4 and g(x) = -2cos(3π((2x - 2)/(2x - 1)) - 3) - 3 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) = -1cos(3π(-1|((1x + 2)/(2x + 1)) + 1| - 3) + 2) + 1 and g(x) = (2(-1x + 2))/(-2(-1x + 2) + 1) intersect in the range -10 ≤ x ≤ 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(2sin(1π((3x - 1)/(-1x - 1)) - 2) - 2)^2 - 3(2sin(1π((3x - 1)/(-1x - 1)) - 2) - 2) + 4 and g(x) = 4(-2x^2 + 5x) - 2 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) = 5((-3(1e^(-1(5x^2 + 3x)) + 2) + 1)/(-3(1e^(-1(5x^2 + 3x)) + 2) - 2)) - 5 and g(x) = (1(5(1|x - 3| - 3)) - 1)/(-1(5(1|x - 3| - 3)) - 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) = 1e^(-1((-3(1x^2 + 3x - 5) - 2)/(1(1x^2 + 3x - 5) - 3))) - 2 and g(x) = (1(2x - 3))/(-1(2x - 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) = -5((-1(-5(-1|x - 2| + 1) + 2) + 3)/(3(-5(-1|x - 2| + 1) + 2) - 1))^2 + 2((-1(-5(-1|x - 2| + 1) + 2) + 3)/(3(-5(-1|x - 2| + 1) + 2) - 1)) + 2 and g(x) = -1(-2((-1x + 2)/(3x + 2))^2 + 5((-1x + 2)/(3x + 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 third x-coordinate (rounded to the nearest integer) where f(x) = (2(-1|(5(3x^2 + 3x - 3) - 4) - 1| + 2) + 3)/(3(-1|(5(3x^2 + 3x - 3) - 4) - 1| + 2) + 3) and g(x) = -2|(-2(1e^(-1x) + 1) - 1) + 3| + 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 rightmost x-coordinate where f(x) = 4((-2(2|x - 2| - 3) - 3)/(2(2|x - 2| - 3) + 1))^2 - 5 and g(x) = 3((1x - 3)/(3x + 2)) + 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) = -3e^(-2(-3((2x + 2)/(-1x + 3)) + 2)) - 3 and g(x) = -1|(-1cos(1πx - 1) - 2)| - 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) = 1|(1((1(-1x^2 + 3x + 3) + 2)/(2(-1x^2 + 3x + 3))) - 2) + 2| + 1 and g(x) = 2|(2(-3x - 4)^2 - 3(-3x - 4) + 4) + 3| + 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 x-coordinate where the graphs of f(x) = -2(-1e^(2((3x + 2)/(-2x + 1))) + 1)^2 + 3(-1e^(2((3x + 2)/(-2x + 1))) + 1) + 5 and g(x) = -2cos(3π(1x - 3) - 1) + 1 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) = 2(-2(1|((-1x - 1)/(1x + 2)) + 1|)^2 + 5(1|((-1x - 1)/(1x + 2)) + 1|) + 5) + 3 and g(x) = -1|(-1sin(2π((-2x + 2)/(-1x + 3))) - 2) - 3| + 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) = 2(1cos(3π(3|((1x + 3)/(1x)) + 2|) - 1))^2 - 2 and g(x) = 3cos(2π(5(-3|x - 2| - 1) - 3) - 1) + 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) = -3e^(1(5(-1|((1x)/(-2x + 3)) - 3|)^2 - 1(-1|((1x)/(-2x + 3)) - 3|) - 5)) + 3 and g(x) = 3((3(-3x^2 + 5x - 1) + 2)/(-1(-3x^2 + 5x - 1) - 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 second intersection point (counting from left to right) between the functions f(x) = 1e^(-2((-2(2|(-5x + 2) - 1| - 3) + 1)/(-3(2|(-5x + 2) - 1| - 3) + 4))) + 1 and g(x) = 2|(-4((-3x + 1)/(2x - 3))^2 - 3((-3x + 1)/(2x - 3)) - 4) - 2| + 3 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
If you add up all the x-coordinates where the functions f(x) = 2(1e^(1((-2(2x + 4) - 1)/(-2(2x + 4) + 3))) + 2)^2 - 1(1e^(1((-2(2x + 4) - 1)/(-2(2x + 4) + 3))) + 2) - 1 and g(x) = 2e^(-1(-3|((-3x - 2)/(-2x + 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]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -4((-3(1|x|) - 1)/(1(1|x|) + 2))^2 - 3((-3(1|x|) - 1)/(1(1|x|) + 2)) - 3 and g(x) = (1(1x^2 - 3x - 3))/(-1(1x^2 - 3x - 3) + 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(3((2x + 2)/(-3x - 1)) + 5)^2 - 2(3((2x + 2)/(-3x - 1)) + 5) - 4 and g(x) = -3cos(1π(-4x^2 - 1x) + 1) - 3 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) = -5((2(-2e^(1x) + 2) + 2)/(-3(-2e^(1x) + 2) + 4))^2 + 3((2(-2e^(1x) + 2) + 2)/(-3(-2e^(1x) + 2) + 4)) + 5 and g(x) = 2e^(2(-1x^2 - 1x - 3)) - 3 intersect in the range -10 ≤ x ≤ 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|(3e^(1((-3x + 1)/(-1x + 2))) - 3) - 1| + 1 and g(x) = -1(2cos(2πx - 3) - 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) = -4(1e^(2(-1|x + 1| - 1))) + 5 and g(x) = 1|((2x + 3)/(-2x + 3)) - 2| - 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) = -4(1|((-3(1x + 3) + 2)/(-2(1x + 3) - 1)) + 1| + 3)^2 + 5(1|((-3(1x + 3) + 2)/(-2(1x + 3) - 1)) + 1| + 3) and g(x) = -1|((1(-5x + 4) + 3)/(3(-5x + 4) - 1)) - 2| + 2 in the interval [-10, 10], rounded to the nearest integer.

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(3|(5(4x^2 + 4x - 4) - 4) - 2|) - 1)/(1(3|(5(4x^2 + 4x - 4) - 4) - 2|)) and g(x) = -2((-3(-4x^2 - 1x + 2) + 3)/(-2(-4x^2 - 1x + 2) - 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((-3(-3(-2|x| + 2)^2 - 2(-2|x| + 2) - 5) - 1)/(3(-3(-2|x| + 2)^2 - 2(-2|x| + 2) - 5) - 2)) + 5 and g(x) = 1|(4((-3x + 1)/(-3x - 3))^2 - 5) - 1| - 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|(-1cos(2π((2x + 2)/(-1x)) - 1) - 2) + 2| + 3 and g(x) = (-1(-1x - 1) - 1)/(-1(-1x - 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 leftmost x-coordinate where f(x) = -2((1(2e^(2(2|x + 2| + 2)) - 2) + 3)/(2(2e^(2(2|x + 2| + 2)) - 2) - 1)) + 5 and g(x) = (1(-2(-3x^2 + 1x + 5) + 1) - 3)/(-2(-2(-3x^2 + 1x + 5) + 1) + 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 leftmost x-coordinate where f(x) = 3|((-1(5(-3x^2 - 4x - 3) - 3) + 2)/(1(5(-3x^2 - 4x - 3) - 3) + 2)) + 3| + 2 and g(x) = (2(-1|(-3x - 5) + 3| + 3) - 1)/(3(-1|(-3x - 5) + 3| + 3) + 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) = 4((-1(1(2|x + 2| - 3) + 5) - 2)/(3(1(2|x + 2| - 3) + 5)))^2 + 2((-1(1(2|x + 2| - 3) + 5) - 2)/(3(1(2|x + 2| - 3) + 5))) - 1 and g(x) = -5(2|(-4x + 4) + 2|)^2 + 3(2|(-4x + 4) + 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) = -4((-3(-1|x + 1| + 3) - 3)/(2(-1|x + 1| + 3) - 1)) and g(x) = 2|(2e^(-1x) - 1) + 1| + 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(3|((1x + 1)/(-2x + 1)) + 1| + 3)^2 - 3(3|((1x + 1)/(-2x + 1)) + 1| + 3) - 3 and g(x) = -3|((2x - 2)/(3x - 2)) + 1| + 2 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) = (-1(-2|(4(2x^2 - 2x - 5) + 1)| - 1) - 2)/(2(-2|(4(2x^2 - 2x - 5) + 1)| - 1) + 2) and g(x) = (3(2|(-1e^(-1x) - 1) - 1|) - 3)/(2(2|(-1e^(-1x) - 1) - 1|) - 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) = -1sin(3π(-3|((1(4x^2 + 3x + 1) + 1)/(1(4x^2 + 3x + 1) + 2)) + 1|) - 3) + 3 and g(x) = 5(2|((2x - 1)/(-3x)) - 1| - 1)^2 + 1(2|((2x - 1)/(-3x)) - 1| - 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) = (-3(-3(-2x + 1)^2 + 3(-2x + 1)))/(-1(-3(-2x + 1)^2 + 3(-2x + 1)) + 2) and g(x) = (2(1cos(1πx + 3) - 1) + 2)/(1(1cos(1πx + 3) - 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 second x-coordinate (rounded to the nearest integer) where f(x) = (1(-3|(4(3x^2 + 2x - 4)) - 2| - 3) - 3)/(3(-3|(4(3x^2 + 2x - 4)) - 2| - 3) - 2) and g(x) = (3(1(-4x^2 + 3x - 3) + 4) - 1)/(-2(1(-4x^2 + 3x - 3) + 4) + 3) 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(2e^(2(-2x^2 + 3x + 2)) + 1) + 2)/(2(2e^(2(-2x^2 + 3x + 2)) + 1) - 3) and g(x) = (3(-3x - 1) + 3)/(3(-3x - 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) = -2|(-4(-1(-2e^(-1x) + 1) - 1)^2 + 3(-1(-2e^(-1x) + 1) - 1) + 1) + 1| + 2 and g(x) = -5((2(-1x + 3) - 3)/(-2(-1x + 3)))^2 - 5((2(-1x + 3) - 3)/(-2(-1x + 3))) + 5 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(1|(-5(-2x^2 - 3x - 4) - 2) + 1| + 1) + 2)/(2(1|(-5(-2x^2 - 3x - 4) - 2) + 1| + 1) + 3) and g(x) = (2(-1(-5x^2 + 5x) + 1) - 1)/(3(-1(-5x^2 + 5x) + 1) + 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) = -3(-1e^(2((-1(4x + 3) - 2)/(2(4x + 3)))) - 3)^2 + 4(-1e^(2((-1(4x + 3) - 2)/(2(4x + 3)))) - 3) and g(x) = -1e^(-1(-3(-1x - 4)^2 + 4(-1x - 4) + 1)) - 2 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(1(-2|(-3x^2 + 3x + 4) - 1| - 1) + 1) - 1)/(3(1(-2|(-3x^2 + 3x + 4) - 1| - 1) + 1) + 3) and g(x) = -2e^(-1(1(1x^2 - 2x + 3) - 4)) meet 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(3|(-4(-3cos(1πx - 2) + 3)^2 + 4(-3cos(1πx - 2) + 3) + 5) + 2| - 1) - 2)/(2(3|(-4(-3cos(1πx - 2) + 3)^2 + 4(-3cos(1πx - 2) + 3) + 5) + 2| - 1) - 1) and g(x) = 2e^(1(-5(-5x^2 + 2x + 1) + 4)) + 2 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
If you add up all the x-coordinates where the functions f(x) = 3|(3e^(2((-2(-2x^2 - 5x + 1) + 3)/(-2(-2x^2 - 5x + 1) + 1))) - 1) + 1| - 2 and g(x) = (-1(3(-3x^2 + 1x - 3)) + 2)/(-2(3(-3x^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]
Find the third intersection point (counting from left to right) between the functions f(x) = 2(1((1x + 2)/(-2x + 1)) + 2)^2 - 5(1((1x + 2)/(-2x + 1)) + 2) - 5 and g(x) = (-3(-1x^2 - 4x + 4) + 2)/(-1(-1x^2 - 4x + 4) + 2) in the interval [-10, 10], rounded to the nearest integer.

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(5(-2cos(3πx))^2 + 1(-2cos(3πx)) - 5) - 3)/(2(5(-2cos(3πx))^2 + 1(-2cos(3πx)) - 5) - 1)) - 2| - 3 and g(x) = -1(-3e^(-2((2x)/(-3x + 1))) + 3) - 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]
At what integer value (rounded) do the functions f(x) = (3(3|(-2e^(2x) - 2) + 3| - 2))/(1(3|(-2e^(2x) - 2) + 3| - 2) - 3) and g(x) = 2(1|x - 3| + 3)^2 + 5(1|x - 3| + 3) - 4 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) = 3e^(-1(2|((2x - 3)/(3x - 2)) + 1| - 2)) - 3 and g(x) = 1(-3x + 1)^2 + 4(-3x + 1) + 5 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) = 3|(5(5((3x - 1)/(-2x + 3)) - 4)^2 + 1(5((3x - 1)/(-2x + 3)) - 4) + 3) - 1| and g(x) = 5((2(1cos(2πx + 1) - 2) - 2)/(3(1cos(2πx + 1) - 2) - 2))^2 + 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) = (1(-2(2x + 2)^2 + 2(2x + 2) + 5) - 3)/(-2(-2(2x + 2)^2 + 2(2x + 2) + 5) + 1) and g(x) = 1|((2x + 1)/(-1x - 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 first intersection point (counting from left to right) between the functions f(x) = 1|((3(-5x^2 - 5x - 2) + 2)/(2(-5x^2 - 5x - 2))) - 2| - 1 and g(x) = -3sin(2π(1x - 2) + 1) + 3 in the interval [-10, 10], rounded to the nearest integer.

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|((1(1sin(2π(-3x + 2) - 1) + 1) - 3)/(2(1sin(2π(-3x + 2) - 1) + 1))) + 1| - 1 and g(x) = (-2(-2(3|x + 3| - 3)^2 + 5(3|x + 3| - 3) - 3) - 3)/(-3(-2(3|x + 3| - 3)^2 + 5(3|x + 3| - 3) - 3) - 2) in the interval [-10, 10], rounded to the nearest integer.

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(3e^(-1((-1x - 2)/(1x + 3))) - 2) - 1 and g(x) = 1|(-3cos(2πx + 2) - 3) + 2| - 1 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) = -3e^(-1((-1(1x + 3) + 3)/(2(1x + 3) - 3))) - 1 and g(x) = -1|(-5x^2 - 1x - 3) + 1| + 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 rightmost x-coordinate where f(x) = 1|((-2(1e^(-1x) - 3) - 2)/(-2(1e^(-1x) - 3) + 3)) + 3| - 3 and g(x) = -2|((2x + 1)/(2x + 1)) - 3| + 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) = 3((-2(2|x + 1| - 2) - 3)/(-2(2|x + 1| - 2)))^2 + 5((-2(2|x + 1| - 2) - 3)/(-2(2|x + 1| - 2))) + 2 and g(x) = -1(-2cos(2πx + 2) - 2) + 5 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((-2(1(-1|x + 2| - 1)^2 - 4))/(-1(1(-1|x + 2| - 1)^2 - 4) + 2)) - 3 and g(x) = -2((2(-5x^2 - 5x - 1) - 1)/(2(-5x^2 - 5x - 1))) - 5 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(4(-2|(-2x - 4) - 2| + 3)^2 + 4(-2|(-2x - 4) - 2| + 3) + 2) - 1) - 1 and g(x) = (2(-5(2e^(2x))^2 + 5) + 3)/(2(-5(2e^(2x))^2 + 5) + 2) intersect in the range -10 ≤ x ≤ 10.

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


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

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(-2sin(1πx + 1)) - 2) - 1| + 3 and g(x) = (-2(4x^2 + 4x - 3) - 1)/(-1(4x^2 + 4x - 3) + 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) = 5(2|(2((-1x - 2)/(-1x - 2))^2 - 2((-1x - 2)/(-1x - 2)) + 5)| - 1) + 3 and g(x) = 3|(-3e^(1((1x - 2)/(-3x - 1))) - 3) + 2| + 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) = -3|(-3((1(-1x^2 + 2x + 2))/(-2(-1x^2 + 2x + 2) - 3)) + 4)| + 1 and g(x) = 1(-3(-2e^(2x) - 2)^2 + 4(-2e^(2x) - 2) + 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) = -2((2(1(1|x + 3| - 1) - 4) + 1)/(-1(1(1|x + 3| - 1) - 4) + 3))^2 + 5((2(1(1|x + 3| - 1) - 4) + 1)/(-1(1(1|x + 3| - 1) - 4) + 3)) + 5 and g(x) = 2(-2(-2|x + 2| - 2)^2 + 2(-2|x + 2| - 2) + 4) + 3 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(-1(-2x^2 + 4x + 3)) + 2)/(3(-1(-2x^2 + 4x + 3)) + 1) and g(x) = (-1(-3|x - 2| - 3) + 3)/(-1(-3|x - 2| - 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) = -1|(3(-5(2e^(1x) - 3) + 5)^2 - 2(-5(2e^(1x) - 3) + 5) - 2)| + 1 and g(x) = -1cos(3π(5(1|x + 3| + 2)^2 + 1(1|x + 3| + 2) - 2) + 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) = 3cos(3π((1(1x + 1) + 2)/(1(1x + 1) + 1)) + 1) and g(x) = 2|(1x - 3) + 3| + 1 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(2(-5(-3|x| - 3)^2 - 5(-3|x| - 3) - 1) - 5))/(-2(2(-5(-3|x| - 3)^2 - 5(-3|x| - 3) - 1) - 5) - 1) and g(x) = -2e^(2((2(2x - 3) + 1)/(-2(2x - 3) + 3))) + 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 second x-coordinate (rounded to the nearest integer) where f(x) = -1(4(2|x + 2| + 3) + 1)^2 - 1(4(2|x + 2| + 3) + 1) and g(x) = -3|((-1x + 2)/(1x + 3)) - 3| + 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) = -1|(-2(-3((-1x - 2)/(-2x - 2))^2 - 3((-1x - 2)/(-2x - 2)) - 1) - 3) + 3| - 3 and g(x) = -1e^(1(-2((-2x - 2)/(3x)) - 3)) - 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|(1e^(1((1x + 2)/(-2x + 1))) - 3) - 2| and g(x) = 5(2|x + 2| + 3)^2 + 3(2|x + 2| + 3) + 2 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) = -3(-2|(5((3x)/(1x - 2))^2 - 2((3x)/(1x - 2)) - 1)| + 2) - 5 and g(x) = 4(2|((-3x)/(-1x - 2))|) + 3 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) = 1cos(3π((-2(1|(1x^2 + 5x + 5) - 2|) + 2)/(2(1|(1x^2 + 5x + 5) - 2|) + 3)) + 2) - 2 and g(x) = -3(5((3x - 3)/(2x + 2))^2 + 3((3x - 3)/(2x + 2)) - 1) + 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) = -3sin(2π((2(1x^2 + 4x - 2))/(3(1x^2 + 4x - 2))) + 3) - 1 and g(x) = 2(-3x^2 - 1x) - 3 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(-2x^2 + 2) - 3)/(-2(-2x^2 + 2) + 1)) - 2| - 2 and g(x) = 1(-3|x| - 1) + 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]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = 4((3(-1|x + 3| + 2) + 3)/(-3(-1|x + 3| + 2) - 2))^2 + 3((3(-1|x + 3| + 2) + 3)/(-3(-1|x + 3| + 2) - 2)) - 2 and g(x) = (1(1|x + 3| - 1) - 1)/(1(1|x + 3| - 1) + 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) = (3(-2e^(2(-2x + 4)) - 2) - 1)/(-3(-2e^(2(-2x + 4)) - 2)) and g(x) = 1e^(2(-5x^2 - 2x + 2)) - 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) = 1sin(2π(5((2(5x) + 3)/(-3(5x) - 3))^2 - 4((2(5x) + 3)/(-3(5x) - 3)) + 3)) + 3 and g(x) = 1(-3|((-2x - 2)/(1x + 2)) - 1| - 1) + 5 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) = 2(-1|((-2(4x^2 + 2x - 5) - 1)/(2(4x^2 + 2x - 5)))|) - 4 and g(x) = (1(-1(-5x - 4)^2 + 5(-5x - 4) - 2) - 1)/(-1(-1(-5x - 4)^2 + 5(-5x - 4) - 2) + 2) 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) = -2sin(1π((2(2|x + 3| + 2) + 1)/(-2(2|x + 3| + 2) - 3)) - 2) - 2 and g(x) = -3|((-2x + 3)/(2x - 1)) + 2| + 2 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) = -2(-2((-1(2|x - 1| + 2) + 1)/(-2(2|x - 1| + 2) - 1)) + 3)^2 + 3 and g(x) = -1|(-3(-1e^(1x) - 3) + 2) - 3| + 3 intersect in the range -10 ≤ x ≤ 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(2|(4x + 4)| - 2) + 1)/(-2(2|(4x + 4)| - 2) + 3) and g(x) = 2((2x - 2)/(-2x - 3)) + 3 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((-3(3|(-5x + 1)|) - 3)/(-2(3|(-5x + 1)|) + 3))^2 - 4((-3(3|(-5x + 1)|) - 3)/(-2(3|(-5x + 1)|) + 3)) + 5 and g(x) = (1(2(2cos(3πx - 3) - 1) + 4) - 1)/(1(2(2cos(3πx - 3) - 1) + 4)) 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) = 5((-2(-1(1|x + 2| - 1)^2 + 3(1|x + 2| - 1) + 5) - 2)/(2(-1(1|x + 2| - 1)^2 + 3(1|x + 2| - 1) + 5) - 1)) - 1 and g(x) = -3|(1(-4x)^2 - 1(-4x) + 4) - 1| + 2 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) = -4(-1((-1(-2|x - 3| - 3) + 2)/(1(-2|x - 3| - 3) - 3))^2 + 5((-1(-2|x - 3| - 3) + 2)/(1(-2|x - 3| - 3) - 3)) - 3) + 3 and g(x) = 5(-2|(1x - 1) - 2| - 1)^2 - 3(-2|(1x - 1) - 2| - 1) - 3 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) = (3(-3|(-1cos(3πx - 3) + 2) + 1| + 2) + 3)/(-2(-3|(-1cos(3πx - 3) + 2) + 1| + 2) - 3) and g(x) = 2((-3x + 2)/(-3x + 4))^2 - 4((-3x + 2)/(-3x + 4)) - 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) = -2|(4(-2sin(2π(1x^2 - 4x - 1)) + 3) - 1) + 2| - 3 and g(x) = -5((-3(-2|x + 2| + 2) - 2)/(1(-2|x + 2| + 2))) + 1 meet 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) = 5(3|(1((3x + 1)/(-3x + 1)) + 4) - 3| - 1)^2 + 4(3|(1((3x + 1)/(-3x + 1)) + 4) - 3| - 1) - 4 and g(x) = -2(-1|(-3x^2 + 3x)| - 3) - 5 in the interval [-10, 10], rounded to the nearest integer.

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(2|x - 2| - 3) + 1)/(2(2|x - 2| - 3) - 1)) - 2 and g(x) = 3(-1e^(-1x) + 3)^2 + 2(-1e^(-1x) + 3) + 4 meet in the interval [-10, 10].

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = (-1(3(-3|x + 1| + 3) + 1) - 1)/(1(3(-3|x + 1| + 3) + 1) - 3) and g(x) = -2|(-2cos(1πx - 2) - 3) + 3| - 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 value closest to the x-coordinate where f(x) = (-1(-3|(-3(3x^2 + 5x) - 4) + 3|) + 3)/(3(-3|(-3(3x^2 + 5x) - 4) + 3|)) and g(x) = -2|((-1(-1x + 1) - 3)/(-3(-1x + 1) + 2)) - 2| + 3 intersect in the range -10 ≤ x ≤ 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(2|(4x^2 + 2)| - 1) - 1)/(-3(2|(4x^2 + 2)| - 1) - 3) and g(x) = (3(3e^(-2x) - 2))/(3(3e^(-2x) - 2) + 1) 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) = (-1(4(-2e^(1(-4x - 1)) + 1)^2 - 4(-2e^(1(-4x - 1)) + 1) + 1) - 3)/(2(4(-2e^(1(-4x - 1)) + 1)^2 - 4(-2e^(1(-4x - 1)) + 1) + 1) - 1) and g(x) = -2|(3(-2x + 1)^2 - 2) + 3| + 1 intersect in the interval [-10, 10].

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = (-2(2(3x^2 - 5) - 5) - 3)/(-3(2(3x^2 - 5) - 5) - 2) and g(x) = -1(1cos(2πx - 1) + 1)^2 + 1(1cos(2πx - 1) + 1) - 5 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) = -1(-1((2(2cos(1πx + 1) - 3) - 3)/(2(2cos(1πx + 1) - 3)))^2 - 3((2(2cos(1πx + 1) - 3) - 3)/(2(2cos(1πx + 1) - 3))) - 2) + 5 and g(x) = (-1(-5(-3|x + 3|)^2 - 4(-3|x + 3|) + 2) + 1)/(1(-5(-3|x + 3|)^2 - 4(-3|x + 3|) + 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) = -1|(4((3(-4x + 1))/(1(-4x + 1) - 3))^2 + 1((3(-4x + 1))/(1(-4x + 1) - 3)) + 2) + 3| + 1 and g(x) = 2cos(2π(-1(1x)^2 + 4(1x) - 2) - 2) - 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) = -2|((-3(-3x - 5) - 3)/(-3(-3x - 5) - 1)) - 1| - 3 and g(x) = -1|(-3x^2 - 5) - 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) = 3|(-2((-3x - 1)/(-1x + 2))^2 + 5((-3x - 1)/(-1x + 2)) + 5) + 2| - 1 and g(x) = 2(-2|x - 1|)^2 + 1(-2|x - 1|) - 4 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) = 1e^(-1((3(-5(2x^2 - 1x + 1) + 1) + 1)/(3(-5(2x^2 - 1x + 1) + 1) + 2))) - 2 and g(x) = -1|((1(4x + 1) + 2)/(1(4x + 1) - 3)) + 2| + 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]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = 2cos(2π((-3(5(4x - 5)^2 + 5(4x - 5) + 3) - 3)/(-3(5(4x - 5)^2 + 5(4x - 5) + 3) - 3)) - 2) + 2 and g(x) = 4(-2|((3x - 3)/(3x - 2)) - 2| + 2) + 4 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|((-3x - 1)/(1x + 1)) - 1|)^2 - 1 and g(x) = (-3(-1x - 2) - 2)/(3(-1x - 2)) 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) = -1e^(-1((-2(-1(-1x + 3)^2 - 1(-1x + 3) + 5) + 3)/(-1(-1(-1x + 3)^2 - 1(-1x + 3) + 5) - 3))) + 2 and g(x) = -1sin(1π(1((-2x + 3)/(1x)))) - 2 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(-4(3|(-1x^2 - 2x + 5) - 1| + 1) + 5) + 1)/(-3(-4(3|(-1x^2 - 2x + 5) - 1| + 1) + 5) + 1) and g(x) = (-2(2|(5x^2 + 2) - 3| - 3) - 1)/(2(2|(5x^2 + 2) - 3| - 3) + 2) 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) = (3(-5(1x - 5)^2 + 3(1x - 5)) - 2)/(-2(-5(1x - 5)^2 + 3(1x - 5))) and g(x) = -1cos(2π(1|x - 1| + 2) - 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) = (-3(3(-3sin(3πx + 3) - 3) - 2) + 3)/(3(3(-3sin(3πx + 3) - 3) - 2) - 2) and g(x) = 5((1x - 3)/(3x + 1))^2 - 2((1x - 3)/(3x + 1)) - 5 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) = -2(1(2|(3e^(-2x) - 1)| + 1)^2 - 2(2|(3e^(-2x) - 1)| + 1) + 3) - 1 and g(x) = (3(-5(1|x + 1| - 1) + 5) - 2)/(-2(-5(1|x + 1| - 1) + 5)) 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) = 1e^(-1(1|(1x^2 + 5) - 3| + 1)) - 3 and g(x) = -1|((1x + 1)/(-1x - 3)) + 2| + 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(2(3|x - 3| - 1)^2 - 5(3|x - 3| - 1) + 5) - 2)/(-3(2(3|x - 3| - 1)^2 - 5(3|x - 3| - 1) + 5) + 2) and g(x) = (-1(5x^2 - 1) - 1)/(-3(5x^2 - 1) + 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) = 4(-3((-3x + 1)/(-1x - 1)) + 4)^2 + 3(-3((-3x + 1)/(-1x - 1)) + 4) - 5 and g(x) = -1|(-3cos(1πx) + 1)| - 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) = 4(-1|((-2x + 2)/(-1x - 1)) + 1| + 2) - 1 and g(x) = 2cos(2π((-2x - 2)/(-2x + 1)) + 3) - 2 meet 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(4(1sin(3πx - 2) - 1) - 5) + 2)/(-3(4(1sin(3πx - 2) - 1) - 5) - 3)) - 3| - 3 and g(x) = (-1(1|(3x + 5)| + 1) - 3)/(-2(1|(3x + 5)| + 1) + 3) in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (-1(1(-2|x - 3| - 2)^2 - 4(-2|x - 3| - 2)) - 3)/(1(1(-2|x - 3| - 2)^2 - 4(-2|x - 3| - 2)) + 3) and g(x) = (3(5x - 2) + 1)/(1(5x - 2) + 3) intersect in the range -10 ≤ x ≤ 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((1(1|x| - 3) - 3)/(3(1|x| - 3) - 2)) - 2 and g(x) = 3((-1x + 2)/(3x + 3)) + 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) = 1|((-3(5x - 2))/(1(5x - 2) + 1)) + 1| - 2 and g(x) = 1(1|x - 1| - 1)^2 - 1(1|x - 1| - 1) + 2 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) = (-2(-1|(-3(1sin(2πx) + 2)^2 - 1(1sin(2πx) + 2) + 2) - 3| - 2) - 3)/(2(-1|(-3(1sin(2πx) + 2)^2 - 1(1sin(2πx) + 2) + 2) - 3| - 2) + 3) and g(x) = 1((-1(-1e^(1x) + 2) + 2)/(1(-1e^(1x) + 2) + 3))^2 - 5((-1(-1e^(1x) + 2) + 2)/(1(-1e^(1x) + 2) + 3)) - 4 intersect in the range -10 ≤ x ≤ 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) = 3(1cos(1π((1x + 1)/(-1x - 2)) + 3) + 1)^2 - 5(1cos(1π((1x + 1)/(-1x - 2)) + 3) + 1) + 1 and g(x) = -2|((2x - 2)/(3x - 2)) + 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(-3|(-1((-3x)/(1x + 2)) - 4) + 1|)^2 + 1(-3|(-1((-3x)/(1x + 2)) - 4) + 1|) + 5 and g(x) = -1|(5(-1x^2 - 2x - 1) - 5) - 2| + 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|(3e^(2(-4((-3x + 1)/(-1x)))) + 1) + 1| + 2 and g(x) = -1((2(5x - 5) + 2)/(2(5x - 5)))^2 + 2((2(5x - 5) + 2)/(2(5x - 5))) - 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|(2x^2 + 1) - 1| - 1) - 2 and g(x) = (3(2|x + 3| + 3) - 2)/(2(2|x + 3| + 3) - 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) = -2|(1sin(1π(-3x^2 - 3x - 5) - 3) - 2) - 1| - 2 and g(x) = (1(-1|x + 1| + 1) + 1)/(-3(-1|x + 1| + 1) - 1) in the interval [-10, 10], rounded to the nearest integer.

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((2(3|(-1x + 2)| - 1) - 3)/(3(3|(-1x + 2)| - 1) + 2))^2 + 4((2(3|(-1x + 2)| - 1) - 3)/(3(3|(-1x + 2)| - 1) + 2)) - 1 and g(x) = 3e^(2(1|(-4x + 2) + 2| - 3)) - 2 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) = 2|(4(2x)^2 - 4(2x) + 1) + 1| - 3 and g(x) = -1sin(1π(-3|x + 2| - 1) + 3) - 1 meet in the interval [-10, 10].

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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