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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = 2(1|((2(-4x + 2) - 1)/(-1(-4x + 2) + 2)) + 3|)^2 - 1(1|((2(-4x + 2) - 1)/(-1(-4x + 2) + 2)) + 3|) - 4 and g(x) = 2|(-3(-2sin(1πx + 2) + 2) - 2) + 1| + 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) = 1((2(3|x + 2| + 2) - 2)/(-2(3|x + 2| + 2)))^2 - 5((2(3|x + 2| + 2) - 2)/(-2(3|x + 2| + 2))) + 1 and g(x) = (-2(-1x^2 + 4x - 5) + 3)/(1(-1x^2 + 4x - 5) + 3) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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