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

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


[User]
If you add up all the x-coordinates where the functions f(x) = 2sin(2π(5(1(1|x - 2| + 3) - 5)^2 + 3(1(1|x - 2| + 3) - 5) + 5) + 2) - 3 and g(x) = -5(1(3|x + 2| - 1)^2 + 5(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]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = -1((-1(-3(-2|x - 1| + 1)) + 3)/(2(-3(-2|x - 1| + 1)) - 1))^2 + 1((-1(-3(-2|x - 1| + 1)) + 3)/(2(-3(-2|x - 1| + 1)) - 1)) + 2 and g(x) = 2|(-3(-3e^(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) = 3(3e^(1(5(-1|x + 1| - 1)^2 + 1(-1|x + 1| - 1) - 4)) - 3) - 1 and g(x) = 1|(-1sin(3π(-3x^2 - 3x - 5) + 1) + 1) + 3| intersect in the interval [-10, 10].

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = 1((-2(1(-2|x + 3| + 1)^2 - 2(-2|x + 3| + 1) - 4) + 1)/(-2(1(-2|x + 3| + 1)^2 - 2(-2|x + 3| + 1) - 4) + 3)) - 1 and g(x) = 1|(1((-3x + 2)/(-3x + 1))^2 + 1((-3x + 2)/(-3x + 1)) + 4) - 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 first x-coordinate (rounded to the nearest integer) where f(x) = -2(1cos(1π(-1|x - 1|)) - 1)^2 + 2(1cos(1π(-1|x - 1|)) - 1) + 1 and g(x) = 4(1|x - 1|)^2 - 2(1|x - 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) = 4((-3(5(3|x + 3| - 1)^2 + 2(3|x + 3| - 1) - 2) + 1)/(2(5(3|x + 3| - 1)^2 + 2(3|x + 3| - 1) - 2) + 3)) + 5 and g(x) = 5((-1(3|x| - 3) + 3)/(-1(3|x| - 3) - 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) = (-2(1(1|(-1x^2 + 4)|) + 5) - 1)/(-2(1(1|(-1x^2 + 4)|) + 5) - 1) and g(x) = 1((2(1|x + 3|) + 3)/(-2(1|x + 3|) + 3)) + 4 intersect in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = 2|(-1sin(3π(4x - 3) - 3) + 3) + 3| - 3 and g(x) = (-1(-1x^2 - 3x + 4) + 3)/(-1(-1x^2 - 3x + 4) - 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 leftmost x-coordinate where f(x) = -1cos(3π(-2((-1x)/(-1x + 3))^2 - 2((-1x)/(-1x + 3)) - 5) - 2) - 1 and g(x) = 4(5x - 5)^2 - 4(5x - 5) - 4 intersect in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = -1((-2(2x - 2) + 2)/(-3(2x - 2) + 2))^2 - 3((-2(2x - 2) + 2)/(-3(2x - 2) + 2)) + 4 and g(x) = (-2(-2sin(1πx - 3) + 1) - 2)/(-1(-2sin(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 second x-coordinate (rounded to the nearest integer) where f(x) = (-1(-2e^(-2(1|x + 2|)) + 1) + 3)/(2(-2e^(-2(1|x + 2|)) + 1) + 3) and g(x) = 1|(2x^2 + 4x + 2)| - 1 intersect in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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