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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = 3(-3((-3x - 3)/(3x + 2))^2 + 1((-3x - 3)/(3x + 2))) - 2 and g(x) = -1|(-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 smallest x-value where the functions f(x) = 1|(-1|(4x^2 + 3x - 1) + 1| - 3) - 1| + 2 and g(x) = -3(-5x - 2) + 5 meet in the interval [-10, 10].

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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