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

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


[User]
At what integer value (rounded) do the functions f(x) = -3|(-2(-3e^(1x) - 1)^2 + 2(-3e^(1x) - 1) - 2) - 2| + 3 and g(x) = (-2(2x + 1) - 3)/(1(2x + 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) = (2((2(1x + 3) + 2)/(2(1x + 3) - 1)))/(-3((2(1x + 3) + 2)/(2(1x + 3) - 1)) - 3) and g(x) = (-1((1x + 2)/(2x - 1)) + 2)/(2((1x + 2)/(2x - 1)) + 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) = 2(-1(-3|x| + 3) - 3) - 3 and g(x) = 5(-2e^(2x) + 1)^2 - 4(-2e^(2x) + 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) = -2cos(1π(4(-1x - 5) + 2) + 3) - 2 and g(x) = 2e^(1((3x + 3)/(2x))) 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(-1|x - 3| - 1)^2 + 1(-1|x - 3| - 1) - 4) - 3)/(-3(-3(-1|x - 3| - 1)^2 + 1(-1|x - 3| - 1) - 4)) and g(x) = -1(2e^(1x) - 3) + 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|((-1((-1x + 2)/(-1x - 3)) - 3)/(2((-1x + 2)/(-1x - 3)) + 2)) + 3| + 3 and g(x) = (3(1cos(2πx - 2) - 3) - 2)/(-1(1cos(2πx - 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 average of all x-coordinates (rounded to the nearest integer) where f(x) = -5(-1(-3x^2 - 3x + 5) + 2) + 5 and g(x) = -3sin(1π(-1|x - 1| + 2) + 1) + 2 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) = (-1(-5(-3x - 2)^2 + 2(-3x - 2) - 3) + 2)/(1(-5(-3x - 2)^2 + 2(-3x - 2) - 3)) and g(x) = -4(-3|x + 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) = 3|((2((1x)/(-3x + 1)) - 3)/(2((1x)/(-3x + 1)) - 1)) - 1| - 2 and g(x) = -1cos(3π(1|x + 2| - 1) + 3) - 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) = -2|(-2sin(3π(-3|x - 3|) - 3)) - 1| - 1 and g(x) = 4(-3x^2 + 1x + 5)^2 - 1(-3x^2 + 1x + 5) - 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) = 1(-2e^(-2(1|x + 1| - 2)) - 2)^2 + 1(-2e^(-2(1|x + 1| - 2)) - 2) - 4 and g(x) = (2(4x^2 - 1x + 1))/(2(4x^2 - 1x + 1)) 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(-1e^(2((3x - 2)/(3x + 1))) + 2)^2 + 5(-1e^(2((3x - 2)/(3x + 1))) + 2) and g(x) = 2e^(1(-4x^2 + 3x)) - 2 intersect in the range -10 ≤ x ≤ 10.

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


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

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


[User]
At what integer value (rounded) do the functions f(x) = -2|((3(-1e^(1x) + 1) + 2)/(1(-1e^(1x) + 1) + 3)) + 2| + 2 and g(x) = -3e^(-1(5x - 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 rightmost x-coordinate where f(x) = -1|(1((-1x)/(-1x + 2)) - 5) - 2| + 1 and g(x) = -1e^(1((-1x - 1)/(-2x - 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) = 2((-1((1x)/(3x + 2)) + 2)/(-1((1x)/(3x + 2)) + 3)) - 2 and g(x) = 2((-2x - 3)/(1x))^2 - 2((-2x - 3)/(1x)) + 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) = -4((-3(3|x - 1| - 1) + 3)/(-2(3|x - 1| - 1) - 1))^2 - 2((-3(3|x - 1| - 1) + 3)/(-2(3|x - 1| - 1) - 1)) - 5 and g(x) = 3((-1x - 3)/(3x - 2)) - 4 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


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

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


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

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


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

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = -3((-2(-5x + 2) + 3)/(-3(-5x + 2))) - 1 and g(x) = (1(-3x^2 - 1x + 1) - 1)/(-1(-3x^2 - 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 integer value closest to the x-coordinate where f(x) = (1(-1((3x - 2)/(-1x + 2))^2 + 3((3x - 2)/(-1x + 2)) - 4) + 1)/(3(-1((3x - 2)/(-1x + 2))^2 + 3((3x - 2)/(-1x + 2)) - 4) + 3) and g(x) = 2((-1x - 1)/(1x + 2)) + 3 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) = 1((-3((-2x - 3)/(-1x - 1)) + 2)/(-1((-2x - 3)/(-1x - 1)) - 3)) + 1 and g(x) = (-2(-3|x - 1| + 3) - 3)/(-3(-3|x - 1| + 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|(-5((-1x + 1)/(-1x - 3))^2 - 5((-1x + 1)/(-1x - 3)) - 5) + 3| - 3 and g(x) = (1(-1x^2 - 1))/(-1(-1x^2 - 1) - 1) 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 x-coordinate where the graphs of f(x) = (2(1cos(1π(-1|x - 1| + 1) + 3) - 1) - 2)/(-1(1cos(1π(-1|x - 1| + 1) + 3) - 1)) and g(x) = (1(-4x - 2) - 3)/(2(-4x - 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) = -4(2((-1x - 3)/(-2x + 3)) - 1) + 5 and g(x) = 1(2x^2 + 2x + 5) - 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) = -3e^(-1(2(-2x^2 - 4x + 4)^2 + 1(-2x^2 - 4x + 4) + 2)) - 1 and g(x) = -1|(-3|x| + 1) + 1| - 1 meet in the interval [-10, 10]?

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


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

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


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

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = (-1(-2|(1x - 4) - 1|) - 1)/(3(-2|(1x - 4) - 1|) + 2) and g(x) = 5(-5x - 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(-5x^2 - 3x + 2) + 3)/(2(-5x^2 - 3x + 2) + 3))^2 + 2((-1(-5x^2 - 3x + 2) + 3)/(2(-5x^2 - 3x + 2) + 3)) + 2 and g(x) = 1|((-3x + 3)/(-1x - 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) = 1(-3((-3x + 3)/(-1x - 2)) - 1)^2 - 1(-3((-3x + 3)/(-1x - 2)) - 1) - 5 and g(x) = 1(5x + 3) - 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((2x - 3)/(3x - 2)) + 3) + 3)/(3(-1((2x - 3)/(3x - 2)) + 3) - 2) and g(x) = 4(-1x - 4)^2 + 2(-1x - 4) + 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(3x - 3) + 2)/(1(3x - 3))) - 1 and g(x) = (-2((-3x - 1)/(-1x + 2)) + 1)/(-1((-3x - 1)/(-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 leftmost x-coordinate where f(x) = 2(-1|(-3x + 3) + 1| - 1) + 1 and g(x) = 1(2e^(-2x))^2 + 2(2e^(-2x)) - 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) = 1e^(-1((-1(4x - 4) - 2)/(-3(4x - 4) + 2))) - 3 and g(x) = (-1((-1x + 2)/(-1x + 2)) - 2)/(2((-1x + 2)/(-1x + 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 x-coordinate where the graphs of f(x) = (1(3e^(-2(-3x + 5)) - 1) + 1)/(3(3e^(-2(-3x + 5)) - 1) - 1) and g(x) = (1(2|x - 3|) + 2)/(3(2|x - 3|) + 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) = 2e^(1(-3|(-3|x - 3| - 3) - 2| - 3)) + 1 and g(x) = 4((3x + 2)/(3x + 3)) - 2 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) = -3|(-2cos(2π(-3|x + 2| - 1)) - 3) - 3| and g(x) = -4(-5x)^2 - 2(-5x) + 4 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) = 3e^(-2((-3((2x - 3)/(3x - 1)) - 2)/(-3((2x - 3)/(3x - 1)) + 2))) and g(x) = -4(-1x) intersect in the interval [-10, 10].

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = 2((1(-2|x - 1| - 3) - 1)/(-1(-2|x - 1| - 3) - 3)) and g(x) = -2|(-4x + 1)| + 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(5x^2 + 3x - 2) - 3)/(-2(5x^2 + 3x - 2) + 1))^2 - 1((3(5x^2 + 3x - 2) - 3)/(-2(5x^2 + 3x - 2) + 1)) - 5 and g(x) = 1(2e^(1x)) + 4 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) = -1e^(1((1(-5x^2 + 2x - 4))/(-3(-5x^2 + 2x - 4) + 1))) - 1 and g(x) = 1(-1x - 5) + 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 x-coordinate where the graphs of f(x) = -4(2|((3x)/(-1x + 2)) + 1| - 2)^2 + 5(2|((3x)/(-1x + 2)) + 1| - 2) and g(x) = 4(2x + 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(1(5x + 5) - 5) + 3)/(2(1(5x + 5) - 5) + 2) and g(x) = -1e^(-1(-2|x + 2| + 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) = -3|(-1|((1x + 2)/(2x - 1)) - 1| - 3) + 2| - 3 and g(x) = -1|(-1x^2 - 4x - 2) - 3| + 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|(1x^2 + 1x - 1) + 3| + 2)^2 + 1(-1|(1x^2 + 1x - 1) + 3| + 2) + 3 and g(x) = 2(1x^2 + 1x - 2)^2 + 5(1x^2 + 1x - 2) - 5 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(-1e^(1((3x + 2)/(-2x - 1))) + 3) + 3 and g(x) = -2cos(3π(-1|x + 1| + 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(3|(1x + 5) - 3| + 3) - 2)/(-2(3|(1x + 5) - 3| + 3) - 3) and g(x) = 5(3x^2 - 5x - 4) + 4 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 4((1(2|x| - 3))/(-1(2|x| - 3) - 2)) - 1 and g(x) = 4(5x - 1) + 2 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) = 1(1|(-3cos(2πx) - 1) - 2| - 1) - 4 and g(x) = -5(-3x - 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) = (2((1(3x^2 + 5) + 3)/(-2(3x^2 + 5) - 1)) - 2)/(1((1(3x^2 + 5) + 3)/(-2(3x^2 + 5) - 1))) and g(x) = 2e^(2(-3|x - 3| + 1)) + 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) = 2((-3((1x + 2)/(3x + 1)) - 2)/(-2((1x + 2)/(3x + 1)) - 2)) + 2 and g(x) = 1sin(2π((-3x - 1)/(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 x-coordinate where the graphs of f(x) = (-2((1(-2|x - 2| - 3) + 1)/(-2(-2|x - 2| - 3) + 3)) - 1)/(-3((1(-2|x - 2| - 3) + 1)/(-2(-2|x - 2| - 3) + 3)) + 2) and g(x) = -1(-1x - 5) - 4 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 third x-coordinate (rounded to the nearest integer) where f(x) = -4(-1(-1x^2 - 2x + 5) - 3)^2 + 2(-1(-1x^2 - 2x + 5) - 3) - 2 and g(x) = 5(-2e^(1x) + 2) - 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|(-2|x + 3| - 1)| + 2) - 3| - 1 and g(x) = -2|(-3x + 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 x-coordinate where the graphs of f(x) = 1|((1(5x))/(-3(5x) - 2)) + 2| - 2 and g(x) = 3(-1x^2 + 3)^2 - 1(-1x^2 + 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|((3((-3x - 2)/(2x)) - 1)/(3((-3x - 2)/(2x)) + 1)) + 1| - 2 and g(x) = -2((-2x)/(1x + 3))^2 + 1((-2x)/(1x + 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) = (2(3(-1cos(3πx))^2 - 1(-1cos(3πx))) - 2)/(-1(3(-1cos(3πx))^2 - 1(-1cos(3πx))) + 2) and g(x) = 3e^(2(2|x - 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]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = -5(3|(-5x - 5) - 2| - 2) + 3 and g(x) = -5(1x^2 - 5x - 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(3((2x)/(1x - 2)) + 1) - 3)/(2(3((2x)/(1x - 2)) + 1) + 2) and g(x) = 3|(-2x + 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) = 4(3((2x - 2)/(-1x - 1)) + 5) + 1 and g(x) = -3((-3x - 1)/(3x - 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 x-coordinate where the graphs of f(x) = (2(1(-3x + 4)^2 + 5(-3x + 4) + 5) - 1)/(-1(1(-3x + 4)^2 + 5(-3x + 4) + 5) - 1) and g(x) = 2e^(-2(-1x - 2)) - 2 meet in the interval [-10, 10]?

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

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


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

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


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

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


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

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (2(5((1x - 2)/(-2x - 1)) + 5) + 3)/(2(5((1x - 2)/(-2x - 1)) + 5) + 2) and g(x) = -3e^(2(1x - 4)) - 1 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) = 1(4(-2x - 5) + 1)^2 + 1(4(-2x - 5) + 1) + 2 and g(x) = -3((1x)/(-3x + 2)) + 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 x-coordinate where the graphs of f(x) = -1e^(1(-1(2x^2 - 4x + 1) + 4)) + 2 and g(x) = 2(1x) + 2 meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (-2(1|((-1x - 1)/(3x + 2)) - 2| - 1))/(3(1|((-1x - 1)/(3x + 2)) - 2| - 1) - 1) and g(x) = -1|(-1x^2 + 5) - 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) = 1(3(3x^2 - 3x - 3) + 4)^2 + 2 and g(x) = 5(4x^2 + 5x - 3) - 5 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) = 2sin(2π(4(5x^2 + 1x - 4)^2 - 4(5x^2 + 1x - 4))) - 3 and g(x) = 3cos(3π((-3x - 3)/(-1x + 2)) - 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) = (1(-1e^(-1(1x + 2)) + 2) + 2)/(1(-1e^(-1(1x + 2)) + 2) + 3) and g(x) = (-1((3x - 3)/(-1x + 2)) + 2)/(1((3x - 3)/(-1x + 2)) - 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((1(-2|x - 3| + 1))/(3(-2|x - 3| + 1) + 3)) + 5 and g(x) = (3((3x + 1)/(-1x - 2)) - 1)/(-1((3x + 1)/(-1x - 2)) - 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) = 5((3((2x + 1)/(1x - 3)))/(-2((2x + 1)/(1x - 3)) + 3)) - 3 and g(x) = (3(3x^2 + 4) - 1)/(-1(3x^2 + 4) - 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) = -2(-2(-4x + 3)^2 - 4(-4x + 3) + 1)^2 - 2(-2(-4x + 3)^2 - 4(-4x + 3) + 1) - 3 and g(x) = (-2(-2x + 1) - 3)/(-1(-2x + 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) = 1|(-3e^(1(1x - 4)) + 1)| - 1 and g(x) = -1(-3x + 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 leftmost x-coordinate where f(x) = 1|((3((2x - 1)/(-3x + 2)) + 3)/(-1((2x - 1)/(-3x + 2)) - 2))| + 1 and g(x) = 1(-1|x - 1| + 3)^2 - 5(-1|x - 1| + 3) - 5 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(-1((1x - 2)/(-3x)) - 4)) - 3 and g(x) = (-3(2|x - 2| - 3) + 1)/(-3(2|x - 2| - 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 x-coordinate where the graphs of f(x) = (-3(2(-4x + 2) - 2) - 2)/(-3(2(-4x + 2) - 2) + 4) and g(x) = (-2(1|x + 2| - 3) - 1)/(-2(1|x + 2| - 3) + 3) 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|(-2x^2 + 3x + 2) + 1| - 1) + 3| - 2 and g(x) = -2(-3x) + 5 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(2cos(1π(3x^2 + 1x + 3) - 2) + 2) + 1)/(2(2cos(1π(3x^2 + 1x + 3) - 2) + 2)) and g(x) = (3(-4x + 5) - 2)/(-1(-4x + 5) - 1) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 3(1|(1|x - 1| + 1) + 2| + 2) - 4 and g(x) = 1(1e^(1x) - 1)^2 - 4(1e^(1x) - 1) - 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) = 2(-3e^(1(-5x^2 - 3x - 1)) - 3) and g(x) = -2(2x^2 - 2x)^2 - 2(2x^2 - 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 first x-coordinate (rounded to the nearest integer) where f(x) = -2|(-1((-3x - 1)/(1x)) - 4) + 1| + 2 and g(x) = (3(1x^2 - 3x + 5) - 3)/(3(1x^2 - 3x + 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((-2(-1x^2 - 1x) - 2)/(1(-1x^2 - 1x) + 3)) - 3 and g(x) = 1|(2sin(1πx + 3) - 1) - 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 leftmost x-coordinate where f(x) = -1(-5(-1x - 4) + 5) + 1 and g(x) = -3(1x - 1)^2 + 2(1x - 1) - 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) = 2|(2(-1|x + 2|)^2 + 1(-1|x + 2|) + 3) - 3| and g(x) = 2|(5x - 1) - 2| + 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) = -2(-2((-3x + 3)/(-3x + 2)) - 2)^2 - 3(-2((-3x + 3)/(-3x + 2)) - 2) + 2 and g(x) = 5(-3sin(1πx + 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) = (3(3|(4x + 1) - 3| + 3) + 3)/(1(3|(4x + 1) - 3| + 3) - 3) and g(x) = 1|((2x - 1)/(3x + 1))| - 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) = 5(-4(1x + 3) - 1)^2 + 5(-4(1x + 3) - 1) + 3 and g(x) = (-2(4x^2 + 3x + 2) - 3)/(-2(4x^2 + 3x + 2) + 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) = 3(-2e^(-1(2|x| + 3)) + 1)^2 - 4 and g(x) = -4(-2|x + 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) = -1((-1((-3x - 3)/(-2x)) - 2)/(1((-3x - 3)/(-2x)) + 1))^2 - 4((-1((-3x - 3)/(-2x)) - 2)/(1((-3x - 3)/(-2x)) + 1)) and g(x) = -3cos(2π(3x) - 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(3(5x^2 - 4x - 4)) - 3)/(-3(3(5x^2 - 4x - 4)) + 4) and g(x) = 2|(-2sin(1πx - 2) + 3) + 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]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 2sin(1π((3((2x - 3)/(2x - 1)) + 1)/(-2((2x - 3)/(2x - 1)) - 1)) + 3) + 2 and g(x) = -1|(-5x^2 - 1x - 1)| + 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) = 4(-2e^(2(-1|x| - 2)) + 3) - 4 and g(x) = 3(-1e^(2x) + 3)^2 - 2(-1e^(2x) + 3) + 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) = -3|(2|(1cos(3πx + 2) - 3) - 2| - 1) - 2| - 2 and g(x) = (3(-3x + 2) + 3)/(-2(-3x + 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) = -3|(-1((-3x - 1)/(-1x - 1)) + 3) - 1| + 2 and g(x) = -1(1|x - 1| + 2)^2 - 4(1|x - 1| + 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) = 4(4((-1x - 3)/(3x)) - 5) + 4 and g(x) = 2(2e^(1x) - 3)^2 - 5(2e^(1x) - 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 x-coordinate where the graphs of f(x) = -1((-3(-1cos(1πx - 3) + 3) + 3)/(-1(-1cos(1πx - 3) + 3) - 1))^2 - 4((-3(-1cos(1πx - 3) + 3) + 3)/(-1(-1cos(1πx - 3) + 3) - 1)) and g(x) = -5(5x - 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) = -2e^(-2(-5((2x)/(2x + 2))^2 + 5((2x)/(2x + 2)) + 2)) + 2 and g(x) = -3(1sin(3πx - 2) + 3)^2 - 2(1sin(3πx - 2) + 3) + 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(3|(1|x|) - 1| - 1) - 3 and g(x) = -1(3|x + 1| + 1) - 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) = (-2(-5(3e^(1x) + 3) - 4) + 3)/(3(-5(3e^(1x) + 3) - 4) + 2) and g(x) = 1((1x)/(-2x - 3)) - 3 intersect in the range -10 ≤ x ≤ 10.

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

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

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

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

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

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

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

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

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

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

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