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

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


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

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = (2((2(-3e^(1x) + 1) + 1)/(1(-3e^(1x) + 1) + 3)))/(1((2(-3e^(1x) + 1) + 1)/(1(-3e^(1x) + 1) + 3)) - 3) and g(x) = (2(-3|x - 3| - 2) + 2)/(-1(-3|x - 3| - 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 value closest to the x-coordinate where f(x) = (2(5(-5x) - 4) + 3)/(-2(5(-5x) - 4) + 3) and g(x) = 1e^(1(3x^2 - 3x)) 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|(2|(-3x^2 + 5x + 5) + 3| + 2) + 2| and g(x) = (-1((-3x + 2)/(-2x - 2)) + 3)/(2((-3x + 2)/(-2x - 2)) + 3) intersect in the range -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -5(-1(2e^(-2x) + 1) + 2)^2 + 5(-1(2e^(-2x) + 1) + 2) + 1 and g(x) = -2sin(3π(4x^2 - 5x - 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) = 2|(3(1x^2 - 2x - 3) - 5) - 2| + 1 and g(x) = 1(3x^2 + 3)^2 - 3(3x^2 + 3) - 2 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) = -5(-1(3e^(-1x) + 1)^2 + 2) + 5 and g(x) = (-1(-2e^(2x) - 3) - 3)/(-2(-2e^(2x) - 3) + 3) 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) = 2(1|(-1x^2 - 4) + 1|)^2 + 3(1|(-1x^2 - 4) + 1|) - 3 and g(x) = 1(3x^2 + 3x - 3)^2 + 1(3x^2 + 3x - 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) = 2sin(1π((-2(-3|x + 1| - 3) - 2)/(3(-3|x + 1| - 3) + 3)) - 3) - 1 and g(x) = 2|(1x)| - 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) = 1|(-5(-2x^2 + 4x + 2)^2 - 1) - 3| + 2 and g(x) = (-3(4x + 1) - 3)/(2(4x + 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) = 2(-2(5x^2 - 3x - 4) + 2) - 2 and g(x) = -2cos(1π((3x)/(-3x - 1)) - 1) + 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) = -3e^(-1(1|(5x^2 + 3x) + 1|)) + 1 and g(x) = (-2(3x^2 - 5x - 2) - 2)/(-1(3x^2 - 5x - 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) = (-3((2(-4x + 3) - 1)/(1(-4x + 3) + 1)) - 1)/(3((2(-4x + 3) - 1)/(1(-4x + 3) + 1)) - 2) and g(x) = -2((3x)/(3x - 2))^2 + 5((3x)/(3x - 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) = -4((1(-3x + 1) + 2)/(2(-3x + 1) + 1))^2 - 3((1(-3x + 1) + 2)/(2(-3x + 1) + 1)) + 5 and g(x) = -3e^(2(-4x^2 + 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) = 3|(-5(-2|x - 3|))| - 3 and g(x) = (3(2e^(2x) + 3) - 2)/(2(2e^(2x) + 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) = -1(-1((-2x + 1)/(3x + 2))^2 + 5((-2x + 1)/(3x + 2)) + 2) + 1 and g(x) = 1|(4x + 2) + 1| - 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) = (1((-2((3x + 1)/(-2x - 3)) + 3)/(-1((3x + 1)/(-2x - 3)))) + 1)/(1((-2((3x + 1)/(-2x - 3)) + 3)/(-1((3x + 1)/(-2x - 3))))) and g(x) = 2cos(2π((2x + 1)/(-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) = -2cos(1π((-3(3|x + 3| - 1) + 1)/(1(3|x + 3| - 1))) + 2) + 2 and g(x) = -5(-3|x - 2| + 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 x-coordinate where the graphs of f(x) = 2sin(2π(-4((2x)/(-2x - 2))^2 - 4((2x)/(-2x - 2)) + 1)) - 2 and g(x) = -1(-5x + 3) - 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) = (-3(2e^(-1(-1x + 3)) - 2) + 3)/(-2(2e^(-1(-1x + 3)) - 2) + 1) and g(x) = 1sin(1π((-1x + 3)/(3x - 2)) + 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(2((-1x)/(1x + 3))^2 + 5((-1x)/(1x + 3)) + 1)^2 + 3(2((-1x)/(1x + 3))^2 + 5((-1x)/(1x + 3)) + 1) + 1 and g(x) = 1(3|x - 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 x-coordinate where the graphs of f(x) = 4(-1((-1x + 1)/(-1x - 1)) + 3) - 4 and g(x) = -5(1x + 3)^2 + 5(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 rightmost x-coordinate where f(x) = (-1(1(-2x - 5) + 2) - 1)/(1(1(-2x - 5) + 2)) and g(x) = -1(-3|x - 1| - 1) - 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) = -1((-2(1x + 1))/(-2(1x + 1) - 1)) - 1 and g(x) = -2(-1cos(2πx) + 3) - 1 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(1(2|x + 1| - 3)) - 2)/(2(1(2|x + 1| - 3))) and g(x) = -1(3x - 1)^2 + 5(3x - 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) = -2|((-3(4x^2) - 3)/(-1(4x^2) - 2)) + 1| + 2 and g(x) = (1(3x + 4) + 1)/(-2(3x + 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) = 1(4(-2x + 5) - 1)^2 - 1(4(-2x + 5) - 1) - 5 and g(x) = -3sin(2π((3x)/(-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 sum of all x-coordinates (rounded to the nearest integer) where f(x) = -1(-2|(5x - 2) + 3| - 2)^2 - 3(-2|(5x - 2) + 3| - 2) + 5 and g(x) = -2(1x^2 - 3x + 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) = -3(3|((1x + 3)/(-3x - 1)) + 3| - 1) + 1 and g(x) = -4(2e^(-2x) + 1)^2 - 4(2e^(-2x) + 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) = 1(-3e^(1(2x^2 + 5x)) + 3)^2 - 4(-3e^(1(2x^2 + 5x)) + 3) + 3 and g(x) = (2(-3x^2 - 2x + 4))/(3(-3x^2 - 2x + 4) + 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(-2|x + 1| + 3) - 4) + 3)/(-3(2(-2|x + 1| + 3) - 4) + 1) and g(x) = 1e^(-1(2x^2 + 2x + 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) = (-2(-5(-1cos(1πx + 3) - 3)^2 - 1(-1cos(1πx + 3) - 3) + 5) + 2)/(-1(-5(-1cos(1πx + 3) - 3)^2 - 1(-1cos(1πx + 3) - 3) + 5) + 3) and g(x) = 1(-1x) - 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) = (-2(-1sin(3π(4x + 5) - 1) - 1))/(1(-1sin(3π(4x + 5) - 1) - 1)) and g(x) = (2((-2x + 1)/(3x - 2)))/(-1((-2x + 1)/(3x - 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) = -2((-2((-3x - 3)/(1x - 3)) - 1)/(-1((-3x - 3)/(1x - 3)) + 3)) + 5 and g(x) = -5(1e^(-2x) - 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) = -2((3((-1x - 2)/(-1x - 3)) - 1)/(-1((-1x - 2)/(-1x - 3))))^2 + 3((3((-1x - 2)/(-1x - 3)) - 1)/(-1((-1x - 2)/(-1x - 3)))) and g(x) = -3|(-2|x - 2| - 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 second x-coordinate (rounded to the nearest integer) where f(x) = 2|((2(1sin(3πx - 3) - 3) + 1)/(-1(1sin(3πx - 3) - 3) - 2)) + 2| - 2 and g(x) = 1((-3x - 1)/(-3x + 1))^2 - 4((-3x - 1)/(-3x + 1)) - 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) = -2cos(1π((1(-4x^2 - 1x + 4) + 2)/(2(-4x^2 - 1x + 4) + 3))) + 2 and g(x) = -5((2x + 3)/(2x + 2)) + 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(-2e^(1(-4x - 2)) + 3) + 5 and g(x) = -3(5x^2 + 4x - 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) = (-2(-5(1x + 2)^2 + 3(1x + 2) + 1) - 3)/(1(-5(1x + 2)^2 + 3(1x + 2) + 1) - 3) and g(x) = (2(-2e^(1x) - 1) - 1)/(-3(-2e^(1x) - 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| - 2) + 3) and g(x) = -2|(1x^2 - 3x + 4) - 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(-1(-2x^2 - 4x - 1) - 4) - 5 and g(x) = -3(5x + 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(1(1|x + 2| + 3)^2 - 2(1|x + 2| + 3) - 3) - 2 and g(x) = -3sin(1π((1x - 1)/(-1x)) - 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) = 3e^(-2((1(1x + 1) - 3)/(3(1x + 1) + 3))) and g(x) = -3(-3e^(-1x) - 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) = 4(3(1x + 3)^2 - 3(1x + 3) + 1)^2 - 4(3(1x + 3)^2 - 3(1x + 3) + 1) + 2 and g(x) = -3(3x + 5) + 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 leftmost x-coordinate where f(x) = -2((1((-2x + 1)/(3x - 1)))/(2((-2x + 1)/(3x - 1)) + 1))^2 - 3((1((-2x + 1)/(3x - 1)))/(2((-2x + 1)/(3x - 1)) + 1)) and g(x) = 1cos(1π((3x + 1)/(-1x + 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) = 5(-1(-2x + 4)^2 + 3(-2x + 4) - 1) - 5 and g(x) = 5(3sin(1πx - 3) - 3)^2 + 3(3sin(1πx - 3) - 3) + 1 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) = 4(2e^(2((2x + 3)/(-2x + 3))) - 2)^2 + 2(2e^(2((2x + 3)/(-2x + 3))) - 2) + 5 and g(x) = -2(-3|x - 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]
If you add up all the x-coordinates where the functions f(x) = -2((2(2e^(1x) + 3) + 2)/(1(2e^(1x) + 3))) + 1 and g(x) = -2e^(2(-3|x - 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]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 3|((-2(1|x + 1| + 2) - 1)/(1(1|x + 1| + 2))) - 2| + 1 and g(x) = 3e^(-2((-1x - 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|(-3x^2 - 2x + 3)|) + 3 and g(x) = 4(-1sin(2πx + 3) - 3) - 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(4(1x - 3)^2 - 3(1x - 3) + 1) - 2 and g(x) = (-3(-3cos(1πx + 3) + 1) + 1)/(2(-3cos(1πx + 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]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = (3(-1|(1e^(-2x) + 1) - 3|) + 2)/(-1(-1|(1e^(-2x) + 1) - 3|) + 3) and g(x) = 5(-3|x + 2| - 1)^2 + 4(-3|x + 2| - 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) = -1|(1|(-3x^2 - 5x - 2) - 3| + 2) - 1| - 2 and g(x) = (1((-3x + 3)/(-1x - 2)) - 3)/(-1((-3x + 3)/(-1x - 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) = 1((3(-1x - 1) - 2)/(-2(-1x - 1)))^2 + 5((3(-1x - 1) - 2)/(-2(-1x - 1))) - 1 and g(x) = 4((-1x + 3)/(3x - 1))^2 - 1((-1x + 3)/(3x - 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(-2x - 5) - 1)/(-2(-2x - 5) + 1)) + 5 and g(x) = -1(2|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 leftmost x-coordinate where f(x) = 3(-1((2x - 3)/(-2x)) + 4)^2 + 3(-1((2x - 3)/(-2x)) + 4) - 2 and g(x) = -2sin(2π((3x + 2)/(3x - 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) = 3sin(3π((2(-1|x + 2|) - 3)/(3(-1|x + 2|) + 1)) - 1) - 3 and g(x) = -2((-1x + 3)/(3x - 2)) + 4 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) = -1(-1(2e^(2x) - 2)^2 + 4(2e^(2x) - 2) + 5) - 3 and g(x) = 4((-2x - 3)/(3x + 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]
At what integer value (rounded) do the functions f(x) = -5((-2(-2x + 1) - 3)/(2(-2x + 1) - 1))^2 - 5((-2(-2x + 1) - 3)/(2(-2x + 1) - 1)) + 4 and g(x) = 5((-1x + 1)/(3x + 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) = -1|(-4((1x - 1)/(-2x - 2))^2 + 3((1x - 1)/(-2x - 2)) - 5) + 2| + 2 and g(x) = (3(-2e^(1x) - 1))/(2(-2e^(1x) - 1) + 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 leftmost x-coordinate where f(x) = 2(-2(5x - 4)^2 + 2(5x - 4) + 4) + 5 and g(x) = -4(1cos(3πx + 2) - 1)^2 + 1(1cos(3πx + 2) - 1) + 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) = 1(-2cos(1π((2x + 1)/(-1x - 2)) + 3) - 1) - 3 and g(x) = (1(1e^(2x) - 3))/(3(1e^(2x) - 3) - 2) 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) = 5(-4(-3e^(2x) + 3)^2 - 2(-3e^(2x) + 3)) + 4 and g(x) = (-3(-3|x + 3|) + 2)/(3(-3|x + 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) = (-1(-3(-1e^(2x) - 2)^2 - 4(-1e^(2x) - 2) + 2) + 1)/(1(-3(-1e^(2x) - 2)^2 - 4(-1e^(2x) - 2) + 2) + 2) and g(x) = (1(1e^(1x) - 3) - 2)/(-3(1e^(1x) - 3) + 4) intersect in the range -10 ≤ x ≤ 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|((-1x + 3)/(-3x + 4))| - 3) - 5 and g(x) = -1(-3x + 2)^2 + 5(-3x + 2) + 3 in the interval [-10, 10], rounded to the nearest integer.

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


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

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


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

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


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

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