[User]
Find the number of times the graphs of f(x) = -1sin(1π((-2(-1(-1|x + 3| + 1)) - 1)/(-3(-1(-1|x + 3| + 1)) + 1)) + 3) + 3 and g(x) = 3(2|(2e^(1x) - 1) - 2| - 2) - 5 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (1(2e^(-1(3((-2x + 3)/(-1x))^2 + 5((-2x + 3)/(-1x)) - 5))) + 1)/(3(2e^(-1(3((-2x + 3)/(-1x))^2 + 5((-2x + 3)/(-1x)) - 5))) - 2) = 3sin(2π((1(-1x^2 - 2x + 1) + 1)/(-3(-1x^2 - 2x + 1) - 1)) + 1) - 1 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 2((-3(-1(-2x^2 - 2x + 2)^2 + 2) - 3)/(1(-1(-2x^2 - 2x + 2)^2 + 2) - 2)) + 1 = 2|(-3sin(1π(-1x^2 + 4x + 3) - 1) - 2) + 3| + 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -2(-2(-2cos(2π(-2|x| - 2) + 3) - 3) - 4) + 4 and g(x) = -3e^(1(-3|(3x) + 2| - 2)) - 3 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation (-3((-2(-2e^(1(-2x^2 + 4)) + 1) + 1)/(-3(-2e^(1(-2x^2 + 4)) + 1) - 3)) + 2)/(-3((-2(-2e^(1(-2x^2 + 4)) + 1) + 1)/(-3(-2e^(1(-2x^2 + 4)) + 1) - 3)) - 2) = 2|(1(-1|x + 2| + 3)^2 + 5(-1|x + 2| + 3) - 1)| - 3 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 2sin(1π(3(-2(2x) + 4) + 4) + 3) - 2 and g(x) = 2sin(3π((2(1x^2 + 4) + 2)/(1(1x^2 + 4) + 3)) - 2) - 2 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation (1(4((-1(3cos(1πx - 3) - 1) - 1)/(-3(3cos(1πx - 3) - 1)))^2 - 3((-1(3cos(1πx - 3) - 1) - 1)/(-3(3cos(1πx - 3) - 1))) + 4))/(1(4((-1(3cos(1πx - 3) - 1) - 1)/(-3(3cos(1πx - 3) - 1)))^2 - 3((-1(3cos(1πx - 3) - 1) - 1)/(-3(3cos(1πx - 3) - 1))) + 4)) = (-1(3sin(2π(1x - 3)) + 2) + 1)/(-2(3sin(2π(1x - 3)) + 2) + 3) have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 2(2|(3((3x - 2)/(-1x - 3)) - 1) - 2| - 3) - 5 = (2(-2sin(1π((-3x - 1)/(-1x + 3))) + 2) - 2)/(2(-2sin(1π((-3x - 1)/(-1x + 3))) + 2) - 3) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 1cos(3π(-5(4(4x^2 - 1x + 1) - 3)^2 + 3(4(4x^2 - 1x + 1) - 3)) + 2) + 3 and g(x) = -2sin(2π(-4((-1x + 1)/(-1x + 3)) + 4) - 3) + 3 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -2(3((-2(1|x + 3| - 2))/(1(1|x + 3| - 2) + 1)) + 5) + 2 and g(x) = -3cos(1π(3(1x + 1) + 1) + 1) + 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -2(3(-2((-3x + 3)/(3x + 3))^2 - 5((-3x + 3)/(3x + 3)) - 3)) - 3 and g(x) = (-1(-1|((3x)/(-1x - 1)) + 3| + 2) + 3)/(2(-1|((3x)/(-1x - 1)) + 3| + 2) + 2) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -5(-3|(1|(2x + 5)| - 2) - 3| + 1) - 5 and g(x) = (-1(-1(-4x^2 - 5x - 3)^2 - 3(-4x^2 - 5x - 3) - 2) + 2)/(-1(-1(-4x^2 - 5x - 3)^2 - 3(-4x^2 - 5x - 3) - 2)) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 2(4((2(-2cos(3πx + 3) + 3))/(-3(-2cos(3πx + 3) + 3) + 2))^2 + 4((2(-2cos(3πx + 3) + 3))/(-3(-2cos(3πx + 3) + 3) + 2)) + 5)^2 - 4(4((2(-2cos(3πx + 3) + 3))/(-3(-2cos(3πx + 3) + 3) + 2))^2 + 4((2(-2cos(3πx + 3) + 3))/(-3(-2cos(3πx + 3) + 3) + 2)) + 5) + 1 and g(x) = 4((2(-1|x - 3|))/(-1(-1|x - 3|) - 3)) + 4 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 3(-3(5((-3x + 3)/(-3x + 2)) + 5) - 5) + 1 and g(x) = 1((1(3sin(1πx - 1) - 3) - 3)/(1(3sin(1πx - 1) - 3) + 3)) - 2 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 1(5(-2|(-5x^2 + 5x - 2) + 1|) - 2) + 4 and g(x) = 1sin(3π(4(-3|x - 2| - 3) - 5) + 1) - 2 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (-1((2(-5(-1x + 3)^2 - 3(-1x + 3) + 3) - 2)/(-1(-5(-1x + 3)^2 - 3(-1x + 3) + 3) + 2)) - 3)/(-1((2(-5(-1x + 3)^2 - 3(-1x + 3) + 3) - 2)/(-1(-5(-1x + 3)^2 - 3(-1x + 3) + 3) + 2)) + 2) and g(x) = 2|(-3e^(-1(4x - 2)) + 2)| - 3 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 2|(-4(1|(5x^2 - 5x - 3) + 2| - 3) - 4) + 2| - 1 = -5((-1(3sin(3πx - 3)) - 2)/(1(3sin(3πx - 3)) + 3))^2 + 1((-1(3sin(3πx - 3)) - 2)/(1(3sin(3πx - 3)) + 3)) + 5 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 2|(-2(2cos(2π(-1|x| + 2) + 3) + 1) + 5) - 3| - 1 and g(x) = (3(1cos(2π(2|x + 1| + 2) + 2) - 2))/(3(1cos(2π(2|x + 1| + 2) + 2) - 2)) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -1(1(2cos(2π(-3x - 4) + 3))^2 - 3(2cos(2π(-3x - 4) + 3)) + 1)^2 - 4(1(2cos(2π(-3x - 4) + 3))^2 - 3(2cos(2π(-3x - 4) + 3)) + 1) - 3 and g(x) = -5((3(3x^2 - 4x + 3) + 2)/(2(3x^2 - 4x + 3) - 1)) + 4 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -2|(-1sin(3π(-4(-1|x - 1| - 1) + 5) - 2) - 3) + 1| + 1 and g(x) = (-3(-3(-3cos(3πx - 2) + 1) - 2) - 2)/(-1(-3(-3cos(3πx - 2) + 1) - 2) - 2) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 1e^(-2(1|((-2(-2x + 4) - 2)/(-3(-2x + 4) + 1)) + 2|)) + 3 and g(x) = -1(2(2|x|)^2 - 4(2|x|) - 5)^2 + 4(2(2|x|)^2 - 4(2|x|) - 5) + 3 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 3|(-1|(2|(2e^(-2x) - 2) - 3| - 3) + 3| + 1) - 2| + 3 and g(x) = -3(-4(2cos(2πx - 1) + 2) + 3) - 2 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (-2(-4(-1(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 1) - 5))/(-3(-4(-1(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 1) - 5)) and g(x) = (-1(5(3cos(1πx + 3) + 2)^2 + 3(3cos(1πx + 3) + 2) + 4) - 3)/(-2(5(3cos(1πx + 3) + 2)^2 + 3(3cos(1πx + 3) + 2) + 4) - 2) where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -4((2((-2(-1x + 3))/(2(-1x + 3) + 1)) - 2)/(-1((-2(-1x + 3))/(2(-1x + 3) + 1)) + 2)) and g(x) = 1e^(-1(-2|(2|x - 2| - 2)| - 1)) - 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -1cos(2π(3((1(4x^2 - 4x - 4))/(-2(4x^2 - 4x - 4) - 2)) - 3) - 3) + 1 = 2sin(2π(3|((2x + 2)/(-3x + 4))| - 1) + 1) + 1 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 1|(-1(-2sin(3π(-2x^2 + 2x + 5) - 1) + 2)) - 3| - 1 = -4(4(3cos(1πx + 2) + 1) + 3)^2 - 3(4(3cos(1πx + 2) + 1) + 3) + 2 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (-2(1|((2(-2|x - 2| - 1) - 3)/(1(-2|x - 2| - 1) + 2)) - 1| + 3) + 2)/(-3(1|((2(-2|x - 2| - 1) - 3)/(1(-2|x - 2| - 1) + 2)) - 1| + 3)) and g(x) = -2(1|(-1x^2 + 1x + 1) + 3| - 3) - 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = (-2(2cos(2π(2(2|x + 2| - 3)^2 + 5(2|x + 2| - 3) - 2) - 3) + 2) - 1)/(-2(2cos(2π(2(2|x + 2| - 3)^2 + 5(2|x + 2| - 3) - 2) - 3) + 2) + 3) and g(x) = 3e^(-2((3((-3x + 2)/(1x + 1)) + 3)/(2((-3x + 2)/(1x + 1)) - 1))) intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -1(-3|(1(-4x^2 + 5x + 3) + 5) + 1|) - 5 and g(x) = (-2(4((1x - 2)/(1x + 1))^2 - 4((1x - 2)/(1x + 1)) - 2) - 1)/(-1(4((1x - 2)/(1x + 1))^2 - 4((1x - 2)/(1x + 1)) - 2) + 3) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 5(-4(-4(3x^2 - 3x + 1) + 5) - 5)^2 - 2(-4(-4(3x^2 - 3x + 1) + 5) - 5) and g(x) = -3(-2|(-3x^2 + 4x + 4) + 3| + 2) - 2 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -2(-1((-1(-1|x + 3|) + 1)/(2(-1|x + 3|) - 1))^2 + 1((-1(-1|x + 3|) + 1)/(2(-1|x + 3|) - 1)) - 2) - 1 and g(x) = 1|(2sin(3π(2x^2 - 4))) + 1| + 2 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -1|(2(-2(-3sin(1πx - 3) + 3)^2 + 3(-3sin(1πx - 3) + 3) - 1) - 4)| and g(x) = 3((-1((2x - 1)/(-3x + 2)) - 3)/(1((2x - 1)/(-3x + 2)) + 2)) + 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 2(1|(2cos(2π(-2|x - 3| + 2) - 2) + 3)| - 3)^2 + 3(1|(2cos(2π(-2|x - 3| + 2) - 2) + 3)| - 3) + 4 = 3|(-1cos(1π(-1x^2 - 5x - 3) + 3) + 2) + 2| + 1 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (3(5(1|(1x - 1) - 3| - 3) + 1) + 3)/(-2(5(1|(1x - 1) - 3| - 3) + 1) + 1) and g(x) = (-2(-5(1x + 3)^2 + 5(1x + 3) + 1) - 1)/(1(-5(1x + 3)^2 + 5(1x + 3) + 1)) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 2sin(2π(3((1(2|x + 3| + 3))/(-1(2|x + 3| + 3) + 2))^2 - 3((1(2|x + 3| + 3))/(-1(2|x + 3| + 3) + 2)) - 2) + 2) - 1 and g(x) = -2|(-1((2x + 2)/(1x - 2))^2 - 2((2x + 2)/(1x - 2)) + 5)| in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = (3(3|(-3sin(1π(4x - 4) + 2) - 2) + 1| + 1) + 2)/(-1(3|(-3sin(1π(4x - 4) + 2) - 2) + 1| + 1) + 3) and g(x) = 1|(1|(4x^2 + 4x + 3) - 1| + 2) + 3| - 3 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 1e^(-2(-3|((1(-3x) + 1)/(1(-3x))) - 1| + 2)) - 1 = 1e^(-2(2|(-5x^2 - 3x + 4) + 2|)) - 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -3(1|(-4((-1x - 1)/(3x + 1)) + 1) - 3| + 1) - 2 and g(x) = -5(-3sin(3π(-1x^2 + 3x + 4) + 2) + 3)^2 - 5(-3sin(3π(-1x^2 + 3x + 4) + 2) + 3) - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation (3(-2sin(3π(3(-1|x| + 3) - 3) - 3) + 2))/(-1(-2sin(3π(3(-1|x| + 3) - 3) - 3) + 2) + 2) = -5(3|(3|x - 1| + 1)| - 2)^2 + 3(3|(3|x - 1| + 1)| - 2) - 2 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-1((3(-2(-3|x + 1| + 1)^2 - 3(-3|x + 1| + 1) + 5) + 2)/(2(-2(-3|x + 1| + 1)^2 - 3(-3|x + 1| + 1) + 5) + 2)))/(-2((3(-2(-3|x + 1| + 1)^2 - 3(-3|x + 1| + 1) + 5) + 2)/(2(-2(-3|x + 1| + 1)^2 - 3(-3|x + 1| + 1) + 5) + 2)) + 3) = (-3(-3(-3e^(-1x) - 2) - 5) + 2)/(2(-3(-3e^(-1x) - 2) - 5)) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (-2(-1(-2|(-1x^2 - 2x + 3) + 2| + 1)^2 - 1(-2|(-1x^2 - 2x + 3) + 2| + 1)) + 2)/(3(-1(-2|(-1x^2 - 2x + 3) + 2| + 1)^2 - 1(-2|(-1x^2 - 2x + 3) + 2| + 1)) - 2) and g(x) = (-3(1(-3x^2 + 5x + 3)^2 - 5(-3x^2 + 5x + 3) + 1) - 1)/(1(1(-3x^2 + 5x + 3)^2 - 5(-3x^2 + 5x + 3) + 1) - 3) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 5(-4(4(2sin(2πx - 1))^2 + 4(2sin(2πx - 1)) - 2)^2 - 2(4(2sin(2πx - 1))^2 + 4(2sin(2πx - 1)) - 2) + 1) - 5 and g(x) = -2((-3(-2|x - 3| + 1) - 3)/(-3(-2|x - 3| + 1) + 4))^2 + 3((-3(-2|x - 3| + 1) - 3)/(-3(-2|x - 3| + 1) + 4)) + 1 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -2|((-3(3|(5x^2 + 2x - 4) - 1| + 1) - 2)/(1(3|(5x^2 + 2x - 4) - 1| + 1) - 3)) + 1| - 3 and g(x) = -1(4(-2x^2 + 3x - 3) - 1)^2 - 4(4(-2x^2 + 3x - 3) - 1) + 4 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 2(3cos(3π(-5(1x - 2) - 4) - 1) + 1)^2 + 5(3cos(3π(-5(1x - 2) - 4) - 1) + 1) + 5 and g(x) = (-2(3sin(3π(-2|x - 1| - 1) + 3) + 2) - 1)/(3(3sin(3π(-2|x - 1| - 1) + 3) + 2) + 2) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 5(2|(-1((1x + 2)/(1x + 3))^2 + 1((1x + 2)/(1x + 3)) + 5) + 3| - 3) + 3 and g(x) = 3cos(2π(1|(-2x - 1) + 3| - 3) + 3) - 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 1(-1(-1|(-3cos(2πx - 1) - 1)| - 3)^2 + 4(-1|(-3cos(2πx - 1) - 1)| - 3) - 3) - 5 and g(x) = 5((2(1x + 5) - 2)/(-1(1x + 5) - 3)) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -3cos(2π(1(-2(1x^2 - 5x + 3)^2 + 2(1x^2 - 5x + 3) - 1) - 5) - 3) - 2 and g(x) = -5(-1(-4x + 2) + 5)^2 - 4(-1(-4x + 2) + 5) + 2 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -2|(-2cos(2π(3((2x + 3)/(-1x + 2)) + 4) - 3)) + 2| + 1 and g(x) = -3cos(1π((-3((-2x + 3)/(-1x + 3)) + 3)/(-2((-2x + 3)/(-1x + 3)) + 1)) - 1) - 2 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 3|(-1|((2((2x - 1)/(1x - 2)) + 3)/(2((2x - 1)/(1x - 2)) - 1))| + 2) - 2| + 1 and g(x) = (-3(-5(-1x + 3)^2 - 2(-1x + 3) + 5) + 2)/(-3(-5(-1x + 3)^2 - 2(-1x + 3) + 5)) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 2(5((-2(1x^2 - 5x + 3) + 3)/(-1(1x^2 - 5x + 3) - 2))^2 + 1((-2(1x^2 - 5x + 3) + 3)/(-1(1x^2 - 5x + 3) - 2)) - 2)^2 + 4(5((-2(1x^2 - 5x + 3) + 3)/(-1(1x^2 - 5x + 3) - 2))^2 + 1((-2(1x^2 - 5x + 3) + 3)/(-1(1x^2 - 5x + 3) - 2)) - 2) - 1 and g(x) = 3|(2|(-2sin(1πx + 3) - 2) + 2| - 2) - 3| - 2 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 1(-4(-1(3cos(1πx + 1) + 3) + 2) - 1) + 5 and g(x) = -1sin(1π(-2|((-1x + 2)/(1x - 2)) + 2| - 1) - 3) - 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 1|(3e^(2(-1(2x^2 - 3x - 5)^2 + 3(2x^2 - 3x - 5) + 3))) + 3| + 2 and g(x) = 1|(-2((3x + 1)/(-2x - 3))^2 + 5((3x + 1)/(-2x - 3)) - 3) - 2| - 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -2sin(2π(4((-2(3x^2 + 4x - 4))/(1(3x^2 + 4x - 4) - 2)) + 1) - 1) - 2 and g(x) = 3cos(2π(2|((1x - 2)/(2x)) + 2| + 3) - 2) in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -2e^(2(-2(-2((-1x - 2)/(-2x - 2)) + 5)^2 - 5(-2((-1x - 2)/(-2x - 2)) + 5) - 3)) + 1 and g(x) = 4(-5(-3cos(2πx + 3) + 2) + 1)^2 - 1(-5(-3cos(2πx + 3) + 2) + 1) - 2 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 1|(-1(-3((-2x - 1)/(2x - 1)) + 4)^2 - 4(-3((-2x - 1)/(2x - 1)) + 4) - 3) + 1| - 2 and g(x) = 3(-1|(-5x^2 + 1x - 1) - 1| + 3)^2 - 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -4(-2|((1(-1x^2 - 3x - 1) - 1)/(3(-1x^2 - 3x - 1))) - 1| + 3)^2 + 2(-2|((1(-1x^2 - 3x - 1) - 1)/(3(-1x^2 - 3x - 1))) - 1| + 3) + 5 and g(x) = (1((-2((-3x)/(-3x - 2)) + 3)/(-2((-3x)/(-3x - 2)) + 1)) + 1)/(-3((-2((-3x)/(-3x - 2)) + 3)/(-2((-3x)/(-3x - 2)) + 1))) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 2e^(2(-2|(-1((2x - 2)/(3x))^2 - 4((2x - 2)/(3x)))| + 2)) and g(x) = 1|(1((3x - 3)/(-2x + 3)) - 5) + 1| + 2 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (-2((1(-2(-2sin(1πx + 2) + 1) + 1) + 2)/(2(-2(-2sin(1πx + 2) + 1) + 1) - 3)) + 3)/(-3((1(-2(-2sin(1πx + 2) + 1) + 1) + 2)/(2(-2(-2sin(1πx + 2) + 1) + 1) - 3)) + 4) = -4(-2|(1|x + 2| - 2)|) - 1 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 1(-1|((1(2x^2 + 4x) - 2)/(1(2x^2 + 4x) - 3)) - 1| + 2)^2 - 4(-1|((1(2x^2 + 4x) - 2)/(1(2x^2 + 4x) - 3)) - 1| + 2) - 4 and g(x) = 2(-2|(-3|x + 1| + 1) + 3| + 3) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -3e^(-2(2((2(3x^2 + 5x - 5) - 1)/(-2(3x^2 + 5x - 5) - 1))^2 + 4((2(3x^2 + 5x - 5) - 1)/(-2(3x^2 + 5x - 5) - 1)) + 1)) + 2 and g(x) = (2(2e^(1(1|x + 3|)) - 2) - 2)/(-1(2e^(1(1|x + 3|)) - 2) - 2) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 1e^(1((-2(1|(2x^2 - 1) + 2| + 1) - 1)/(-2(1|(2x^2 - 1) + 2| + 1) + 3))) + 1 and g(x) = (-1(3cos(1π(5x + 4) + 3) + 2) - 2)/(1(3cos(1π(5x + 4) + 3) + 2)) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 2|((1(1(1|x - 1| - 3) + 3) - 3)/(1(1(1|x - 1| - 3) + 3) + 3)) + 1| and g(x) = 3(1cos(2π(5x + 4) + 3) + 1) - 3 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -3cos(1π(-2|(-3(1|x| + 2)^2 - 5(1|x| + 2) - 4) + 1| + 2) - 1) + 3 and g(x) = 1|(-5(-5x + 5)^2 - 1) + 3| + 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -1|((1(2e^(-1(-3|x| + 2))) + 1)/(2(2e^(-1(-3|x| + 2))))) + 1| = 1(-4(2|x + 2| - 1)^2 + 3(2|x + 2| - 1) + 4)^2 - 3(-4(2|x + 2| - 1)^2 + 3(2|x + 2| - 1) + 4) - 3 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -2(3((-3(3x^2 - 5x))/(2(3x^2 - 5x) - 3))^2 - 4((-3(3x^2 - 5x))/(2(3x^2 - 5x) - 3)) - 3) + 4 and g(x) = 4(4(3cos(2πx) + 2) - 5) + 3 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 1sin(1π(-4((2(2|x + 2|))/(2(2|x + 2|) + 1))^2 - 1((2(2|x + 2|))/(2(2|x + 2|) + 1)) - 4) + 2) + 1 and g(x) = (3(-1|(-4x - 5)| + 3) - 3)/(3(-1|(-4x - 5)| + 3) + 1) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (2(-2(2|(-1|x - 3| + 1) + 1| - 2)^2 - 2(2|(-1|x - 3| + 1) + 1| - 2) + 5) + 1)/(-1(-2(2|(-1|x - 3| + 1) + 1| - 2)^2 - 2(2|(-1|x - 3| + 1) + 1| - 2) + 5) + 2) and g(x) = (2(-3|(-1x^2 - 2x + 4)| + 3) - 3)/(3(-3|(-1x^2 - 2x + 4)| + 3) - 2) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (2(4(-2|(-5x - 2) + 2| + 3)^2 + 5(-2|(-5x - 2) + 2| + 3) - 4) + 1)/(2(4(-2|(-5x - 2) + 2| + 3)^2 + 5(-2|(-5x - 2) + 2| + 3) - 4) - 1) = 1cos(2π((-3(5x^2 + 1x + 2) - 2)/(-1(5x^2 + 1x + 2))) + 1) + 3 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 5(3sin(1π(2|((3x - 1)/(-1x - 1)) - 1| - 1) + 3) + 2) + 1 and g(x) = -5(3|((3x - 3)/(-3x - 1)) + 2| - 2)^2 + 1(3|((3x - 3)/(-3x - 1)) + 2| - 2) - 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (-1(5(2cos(2π(3|x + 1| - 1) + 1) + 2)^2 - 5(2cos(2π(3|x + 1| - 1) + 1) + 2) + 5) + 3)/(2(5(2cos(2π(3|x + 1| - 1) + 1) + 2)^2 - 5(2cos(2π(3|x + 1| - 1) + 1) + 2) + 5) + 1) and g(x) = -2(2sin(3π(2|x + 2| - 3) - 1)) + 2 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 5(-2cos(2π((-3(-3|x + 2|))/(-2(-3|x + 2|) - 2)) - 3) - 2)^2 + 3(-2cos(2π((-3(-3|x + 2|))/(-2(-3|x + 2|) - 2)) - 3) - 2) - 2 and g(x) = -2e^(1(5(5x - 3) - 1)) - 1 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 1(-2(3cos(2π(3|x - 1| - 3) + 2))^2 - 4(3cos(2π(3|x - 1| - 3) + 2)) + 1)^2 + 4(-2(3cos(2π(3|x - 1| - 3) + 2))^2 - 4(3cos(2π(3|x - 1| - 3) + 2)) + 1) + 1 = -1(-2(-5x - 2) - 5)^2 - 1 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -1|(-3sin(3π(4(1x - 1)^2 + 2(1x - 1) - 5) + 1) - 1) - 3| + 2 and g(x) = -1(-4((-3x - 1)/(2x + 2))^2 + 2((-3x - 1)/(2x + 2)) + 1)^2 - 3(-4((-3x - 1)/(2x + 2))^2 + 2((-3x - 1)/(2x + 2)) + 1) + 4 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 1((-2(-1(-1sin(2πx + 3) - 1) - 4) + 1)/(1(-1(-1sin(2πx + 3) - 1) - 4) + 3))^2 - 5((-2(-1(-1sin(2πx + 3) - 1) - 4) + 1)/(1(-1(-1sin(2πx + 3) - 1) - 4) + 3)) - 4 and g(x) = (1(-2(-3x^2 - 4x - 2)^2 + 1(-3x^2 - 4x - 2) + 3) + 3)/(-2(-2(-3x^2 - 4x - 2)^2 + 1(-3x^2 - 4x - 2) + 3) - 3) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 1((-3(-2|((-3x - 2)/(-3x - 3))| - 1) - 2)/(1(-2|((-3x - 2)/(-3x - 3))| - 1)))^2 + 2((-3(-2|((-3x - 2)/(-3x - 3))| - 1) - 2)/(1(-2|((-3x - 2)/(-3x - 3))| - 1))) + 1 and g(x) = 1sin(1π((2(2|x - 1| - 3) - 2)/(-2(2|x - 1| - 3) + 3))) + 2 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 2sin(1π((1(-2|((-1x - 1)/(2x - 3))| + 3) - 3)/(2(-2|((-1x - 1)/(2x - 3))| + 3) - 3)) - 1) + 2 and g(x) = 1sin(1π(-2(-2x + 4)^2 - 1(-2x + 4) - 1)) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -4(-2sin(3π((-2((1x + 2)/(-2x + 3)) + 3)/(2((1x + 2)/(-2x + 3)) + 3)) + 2) + 2)^2 + 4(-2sin(3π((-2((1x + 2)/(-2x + 3)) + 3)/(2((1x + 2)/(-2x + 3)) + 3)) + 2) + 2) - 3 and g(x) = -3|(3|(-4x - 5) + 1| - 2)| - 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 1|((3((1(3|x + 3| + 3) - 1)/(-1(3|x + 3| + 3))) - 3)/(3((1(3|x + 3| + 3) - 1)/(-1(3|x + 3| + 3))) + 3)) - 1| + 2 and g(x) = (-1(1|(1cos(3πx) + 1) + 3| - 1) + 1)/(1(1|(1cos(3πx) + 1) + 3| - 1) - 3) in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (2(3((-2(-1x^2 - 3x + 4))/(-3(-1x^2 - 3x + 4))) - 1))/(3(3((-2(-1x^2 - 3x + 4))/(-3(-1x^2 - 3x + 4))) - 1) - 2) and g(x) = (-2(-3cos(2π((-1x)/(-1x + 2)) - 1) + 3) + 1)/(3(-3cos(2π((-1x)/(-1x + 2)) - 1) + 3) - 2) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (1(-1(2|(4x^2 + 3x + 3) + 1| - 1)) - 1)/(1(-1(2|(4x^2 + 3x + 3) + 1| - 1)) - 3) and g(x) = -3cos(3π(2|((1x - 2)/(2x + 1)) + 2|) - 1) + 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 2(-2sin(1π(-1(1x^2 + 3x - 5) - 4) + 2) - 2) + 5 and g(x) = -3(2(-3|x + 2| + 3) + 5)^2 + 5(2(-3|x + 2| + 3) + 5) + 2 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation (2(-2|(2(-1cos(1πx + 3))^2 + 3(-1cos(1πx + 3)) + 1)| + 1) + 2)/(3(-2|(2(-1cos(1πx + 3))^2 + 3(-1cos(1πx + 3)) + 1)| + 1) - 1) = 2cos(3π((-2((2x)/(-3x + 2)) - 2)/(-3((2x)/(-3x + 2)) + 1)) - 2) + 3 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 3(-3(3cos(3π(-2|x + 2| + 1) + 1))^2 + 2(3cos(3π(-2|x + 2| + 1) + 1)) + 1) + 1 and g(x) = (3(-3sin(1π(-1x - 3) - 2) - 3) - 2)/(1(-3sin(1π(-1x - 3) - 2) - 3) - 3) intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (2(-4((3(1|x - 3| - 3) - 3)/(1(1|x - 3| - 3))) - 1) - 3)/(1(-4((3(1|x - 3| - 3) - 3)/(1(1|x - 3| - 3))) - 1)) and g(x) = 3sin(2π(1((-1x - 2)/(3x - 2))^2 + 3) - 1) - 1 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 2|((1(-2sin(3π(4x^2 + 2x - 3) + 3) - 1) + 3)/(2(-2sin(3π(4x^2 + 2x - 3) + 3) - 1) - 1)) + 1| + 1 and g(x) = 4(-4(-1|x + 1| + 3) - 2) - 4 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 4((1(2sin(3π(3|x - 3| - 2) + 1) - 2) + 2)/(-1(2sin(3π(3|x - 3| - 2) + 1) - 2)))^2 + 5((1(2sin(3π(3|x - 3| - 2) + 1) - 2) + 2)/(-1(2sin(3π(3|x - 3| - 2) + 1) - 2))) - 2 = -1(1sin(2π(-5x^2 - 1x - 2) - 1) + 1)^2 + 1(1sin(2π(-5x^2 - 1x - 2) - 1) + 1) + 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -2((-3(-2|(-4x + 1)| + 3) - 2)/(-3(-2|(-4x + 1)| + 3)))^2 - 4((-3(-2|(-4x + 1)| + 3) - 2)/(-3(-2|(-4x + 1)| + 3))) + 2 and g(x) = (1((-2(1|x|) - 3)/(-1(1|x|) - 1)) - 1)/(-3((-2(1|x|) - 3)/(-1(1|x|) - 1)) + 1) in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (1(2|(1(1x + 4)^2 - 3(1x + 4) - 4) - 3| + 2) + 3)/(-1(2|(1(1x + 4)^2 - 3(1x + 4) - 4) - 3| + 2)) and g(x) = -2|(-4(-5x^2 - 4x + 1)^2 + 5(-5x^2 - 4x + 1) + 2) + 1| - 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (-1(-5(5(4x^2 + 3x - 4) - 2)^2 - 3(5(4x^2 + 3x - 4) - 2) + 1))/(-1(-5(5(4x^2 + 3x - 4) - 2)^2 - 3(5(4x^2 + 3x - 4) - 2) + 1) + 2) and g(x) = (2((-1(-3|x - 3| - 3) + 1)/(1(-3|x - 3| - 3) - 2)) + 2)/(-3((-1(-3|x - 3| - 3) + 1)/(1(-3|x - 3| - 3) - 2)) + 4) where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 5(1e^(1(-4(-2|x + 3|)^2 - 4(-2|x + 3|) - 1)) + 2)^2 - 4(1e^(1(-4(-2|x + 3|)^2 - 4(-2|x + 3|) - 1)) + 2) - 4 = (-2(-1(-1sin(2πx - 2) + 2) + 2) + 2)/(3(-1(-1sin(2πx - 2) + 2) + 2) + 3) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -1(3|((-1(1e^(1x) + 3) + 1)/(1(1e^(1x) + 3) - 3))| + 3) + 5 and g(x) = 5(2(1x^2 - 3x + 1)^2 + 1(1x^2 - 3x + 1))^2 - 1(2(1x^2 - 3x + 1)^2 + 1(1x^2 - 3x + 1)) - 4 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-1((-2((-1(-1x - 3) + 2)/(1(-1x - 3) - 2)) - 3)/(2((-1(-1x - 3) + 2)/(1(-1x - 3) - 2)) + 3)) + 3)/(3((-2((-1(-1x - 3) + 2)/(1(-1x - 3) - 2)) - 3)/(2((-1(-1x - 3) + 2)/(1(-1x - 3) - 2)) + 3)) - 2) and g(x) = -2(-3(4x^2 - 2x - 2)^2 + 2(4x^2 - 2x - 2) + 1)^2 - 2(-3(4x^2 - 2x - 2)^2 + 2(4x^2 - 2x - 2) + 1) - 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -2(-3(-3sin(2π(-1|x| - 1) - 2) + 2)^2 + 5(-3sin(2π(-1|x| - 1) - 2) + 2) + 2)^2 + 5(-3(-3sin(2π(-1|x| - 1) - 2) + 2)^2 + 5(-3sin(2π(-1|x| - 1) - 2) + 2) + 2) + 4 and g(x) = 3(-1(4x - 2) - 3) + 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -1((-3(-2sin(1π(-2x + 3) + 1) + 1) - 2)/(-1(-2sin(1π(-2x + 3) + 1) + 1) + 3))^2 + 1((-3(-2sin(1π(-2x + 3) + 1) + 1) - 2)/(-1(-2sin(1π(-2x + 3) + 1) + 1) + 3)) + 4 and g(x) = 1|(-3|((-3x - 1)/(1x + 3)) + 2|)| - 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -2(2|((-1(-2x - 2) - 2)/(3(-2x - 2) + 1)) + 3| - 3)^2 + 3(2|((-1(-2x - 2) - 2)/(3(-2x - 2) + 1)) + 3| - 3) and g(x) = (-2((-1(-5x^2 - 3x + 4) + 3)/(3(-5x^2 - 3x + 4))) + 3)/(1((-1(-5x^2 - 3x + 4) + 3)/(3(-5x^2 - 3x + 4))) - 3) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -2sin(3π(-3|(3((-3x + 3)/(2x - 3)) - 4) - 2| + 2) + 2) + 2 and g(x) = (2(-1e^(1(-2x^2 - 5x - 3)) + 1) - 2)/(-3(-1e^(1(-2x^2 - 5x - 3)) + 1)) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 3cos(1π(-1(3(1|x - 3| - 3) - 5)^2 - 1(3(1|x - 3| - 3) - 5) + 1) + 1) + 2 = -1(3(-3e^(-1x) + 3) - 2) + 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 1(3|(5((-3x + 3)/(-2x + 1))) - 1| - 3)^2 - 3(3|(5((-3x + 3)/(-2x + 1))) - 1| - 3) + 2 and g(x) = 1|((-2(1x^2 + 4x + 3) + 2)/(1(1x^2 + 4x + 3) + 2)) - 3| - 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation (-2(3(-2|(3|x|) - 3| + 2) + 1) + 3)/(-2(3(-2|(3|x|) - 3| + 2) + 1) - 1) = 2(1(-2cos(1πx) - 1)^2 - 3(-2cos(1πx) - 1) + 2) + 5 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation -2sin(1π(-1(-4(-3x - 2) - 3) - 1) - 1) - 2 = (-3(1(-5x^2 - 5x + 3)^2 + 4(-5x^2 - 5x + 3) + 1))/(-2(1(-5x^2 - 5x + 3)^2 + 4(-5x^2 - 5x + 3) + 1) - 3) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -1|(2cos(1π(-2(-2x)^2 - 4(-2x) - 2) + 1) - 1)| - 3 and g(x) = -4((-2(-1x^2 + 5x - 3) - 2)/(-2(-1x^2 + 5x - 3) + 3))^2 - 5((-2(-1x^2 + 5x - 3) - 2)/(-2(-1x^2 + 5x - 3) + 3)) + 4 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 2((3(3e^(-2(-4x^2 - 1x + 5)) - 1) - 3)/(3(3e^(-2(-4x^2 - 1x + 5)) - 1) + 1))^2 + 3((3(3e^(-2(-4x^2 - 1x + 5)) - 1) - 3)/(3(3e^(-2(-4x^2 - 1x + 5)) - 1) + 1)) - 2 and g(x) = 3(3|((2x + 3)/(2x))| + 1)^2 - 3(3|((2x + 3)/(2x))| + 1) - 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 3|(-4((1(-1|x + 1| + 2) - 1)/(-2(-1|x + 1| + 2) - 2))^2 + 4((1(-1|x + 1| + 2) - 1)/(-2(-1|x + 1| + 2) - 2)) + 4)| - 3 and g(x) = -3(-1e^(2(-2|x - 3| - 2))) + 4 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 3|(3(-1e^(-2(2x^2 - 5x - 1)) - 1) - 2)| + 1 = 2|(2(2|x + 1| - 3)^2 - 5(2|x + 1| - 3) - 2)| + 3 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (2(1(-2cos(1π(4x - 2) - 1) + 2)^2 + 4(-2cos(1π(4x - 2) - 1) + 2) - 3) + 3)/(-3(1(-2cos(1π(4x - 2) - 1) + 2)^2 + 4(-2cos(1π(4x - 2) - 1) + 2) - 3)) = -2(-1(-3|x + 1| + 1)^2 - 4(-3|x + 1| + 1) - 3) - 1 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -3(1(2cos(2π(-4x + 3) + 3) + 3)^2 - 4) - 1 and g(x) = -2sin(2π(5(-2x^2 + 2x + 3) - 4) + 1) + 2 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = (-3(2(1(-1x^2 - 2x + 2)^2 + 3(-1x^2 - 2x + 2) - 5) + 3) - 1)/(-2(2(1(-1x^2 - 2x + 2)^2 + 3(-1x^2 - 2x + 2) - 5) + 3) + 1) and g(x) = 1(-4(-1sin(1πx + 2) + 1) - 2) + 4 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = (3((-1((2(-2e^(-1x) - 1) - 1)/(2(-2e^(-1x) - 1))) + 2)/(3((2(-2e^(-1x) - 1) - 1)/(2(-2e^(-1x) - 1))))))/(2((-1((2(-2e^(-1x) - 1) - 1)/(2(-2e^(-1x) - 1))) + 2)/(3((2(-2e^(-1x) - 1) - 1)/(2(-2e^(-1x) - 1))))) - 3) and g(x) = -3sin(2π(1|(-2x + 4)| - 1) + 1) - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 2|((-3((-2(-4x) - 2)/(3(-4x) + 2)) - 2)/(1((-2(-4x) - 2)/(3(-4x) + 2)) + 1)) - 1| = 1(3|(-5x + 4) + 2| - 2) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 1(3cos(2π(1(5x^2 + 4x) + 5) - 3) - 2)^2 + 4(3cos(2π(1(5x^2 + 4x) + 5) - 3) - 2) - 2 and g(x) = -1(4((3x)/(2x - 1))^2 - 5((3x)/(2x - 1)) + 1)^2 - 4(4((3x)/(2x - 1))^2 - 5((3x)/(2x - 1)) + 1) - 3 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 5(3|((-2(1x) + 3)/(-3(1x) - 1)) + 1| - 3) - 2 = -1|((-3(5x - 5) - 1)/(-1(5x - 5) - 1)) - 1| - 2 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = (-3(3(1(-4x^2 + 2x - 4)^2 + 5(-4x^2 + 2x - 4) + 2)^2 - 3) + 2)/(2(3(1(-4x^2 + 2x - 4)^2 + 5(-4x^2 + 2x - 4) + 2)^2 - 3) + 1) and g(x) = (3(1(-2|x| + 1) - 5) + 1)/(2(1(-2|x| + 1) - 5) - 1) in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (2(2(-1|((-1x - 1)/(1x)) + 2|)^2 - 3(-1|((-1x - 1)/(1x)) + 2|) - 5) - 2)/(2(2(-1|((-1x - 1)/(1x)) + 2|)^2 - 3(-1|((-1x - 1)/(1x)) + 2|) - 5) + 2) and g(x) = 3(5(-3sin(1πx - 3) - 1) + 1)^2 + 2(5(-3sin(1πx - 3) - 1) + 1) - 5 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 2|(3cos(2π(3(-2|x + 3| + 2) - 4)) + 3) - 1| - 2 = 5(3sin(3π(1|x - 3| - 2) - 2) - 3) have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 2((2(3sin(1π(3x + 5) + 3) - 2) + 3)/(1(3sin(1π(3x + 5) + 3) - 2) + 2)) - 4 and g(x) = 1(-4(1x + 3) + 2) + 4 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 4(-1cos(2π(-4(3x - 3)^2 - 4(3x - 3) + 4) + 2) + 2)^2 + 1(-1cos(2π(-4(3x - 3)^2 - 4(3x - 3) + 4) + 2) + 2) - 1 and g(x) = 1|(5(2x - 2)) + 1| in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -2|(-1|(3|(-3e^(1x) + 3) + 3| + 3) - 2| - 1) + 1| and g(x) = -3|(5((3x - 1)/(-2x + 3))^2 - 5((3x - 1)/(-2x + 3)) + 1) - 3| + 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -3(-1(-3(-3sin(2πx - 2) - 1) - 4)^2 + 5(-3(-3sin(2πx - 2) - 1) - 4) - 4) - 5 and g(x) = -1|(-2sin(3π(1|x| - 3) - 1)) - 2| + 3 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 3(-2cos(2π(-3(3|x + 2| - 3)) - 2) - 2)^2 + 1(-2cos(2π(-3(3|x + 2| - 3)) - 2) - 2) + 2 and g(x) = 5((1(-3cos(2πx + 3) - 2) + 2)/(-2(-3cos(2πx + 3) - 2) + 3))^2 + 5((1(-3cos(2πx + 3) - 2) + 2)/(-2(-3cos(2πx + 3) - 2) + 3)) + 5 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation (2(1sin(2π(1((3x)/(3x - 2)) - 3) - 3)) + 3)/(2(1sin(2π(1((3x)/(3x - 2)) - 3) - 3)) + 1) = -2e^(2((2(3|x| + 3) + 3)/(2(3|x| + 3) + 2))) + 1 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 3sin(2π((2(1(3x^2 + 4x - 2)^2 + 5(3x^2 + 4x - 2) - 2) + 2)/(-2(1(3x^2 + 4x - 2)^2 + 5(3x^2 + 4x - 2) - 2) + 3)) + 1) + 2 and g(x) = -1|((-1(2x - 5) - 2)/(2(2x - 5) - 1))| + 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -1|(-3(-2(-1x^2 - 4x + 2) + 2)^2 - 3(-2(-1x^2 - 4x + 2) + 2) - 2) + 2| and g(x) = -3(-2(3|x + 3| + 2) + 5)^2 - 2(-2(3|x + 3| + 2) + 5) + 5 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 1|((-1(-4(-2sin(1πx - 1) - 1) + 4) - 1)/(-1(-4(-2sin(1πx - 1) - 1) + 4) + 2))| + 1 and g(x) = 3(-4(3e^(-1x) - 1) + 3) + 5 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation (2((2(1(-1x + 5)^2 - 1(-1x + 5) - 5))/(-1(1(-1x + 5)^2 - 1(-1x + 5) - 5) + 2)) + 2)/(-2((2(1(-1x + 5)^2 - 1(-1x + 5) - 5))/(-1(1(-1x + 5)^2 - 1(-1x + 5) - 5) + 2)) + 3) = -5(2sin(3π(2x - 3) - 3) - 1) + 4 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (1(1sin(2π(1(-1x^2 + 1x + 5)^2 + 3(-1x^2 + 1x + 5) + 4) + 2) - 1) + 3)/(3(1sin(2π(1(-1x^2 + 1x + 5)^2 + 3(-1x^2 + 1x + 5) + 4) + 2) - 1) + 2) and g(x) = 4(-3sin(2π(-1x^2 - 2x + 3)) + 1) + 3 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -2(2(-2cos(2π(2x^2 - 5x - 5) - 2) + 3) - 1) - 3 and g(x) = -2((3(-1|x + 3| + 3) + 3)/(2(-1|x + 3| + 3) - 1)) + 1 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (3(2|(3sin(2π(2|x - 3|) + 2) - 2) - 3| - 1) - 2)/(1(2|(3sin(2π(2|x - 3|) + 2) - 2) - 3| - 1)) = 1|(-1cos(3π((-3x + 3)/(-2x + 3)) + 3) + 1) - 2| + 1 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (2(-3sin(3π(3|((1x - 1)/(1x - 2)) + 1| + 1) - 2) + 2) + 2)/(-1(-3sin(3π(3|((1x - 1)/(1x - 2)) + 1| + 1) - 2) + 2) + 2) and g(x) = -2|(-1e^(-2((-1x - 3)/(3x))) + 3) - 1| + 2 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (3(2|(2cos(3π(-1|x + 2| - 1))) + 1| - 1) - 1)/(1(2|(2cos(3π(-1|x + 2| - 1))) + 1| - 1)) and g(x) = -3|(1|(-5x - 1) - 3| - 3)| - 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -2(2(1(-2cos(3πx + 2)) - 2)^2 + 2(1(-2cos(3πx + 2)) - 2) + 4) + 3 = -3|(4(5x^2 + 1x - 5)^2 - 4(5x^2 + 1x - 5) - 3) + 3| + 3 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 1(1|(-1|((1x)/(2x - 1)) - 3| - 1) - 2| + 2)^2 + 2(1|(-1|((1x)/(2x - 1)) - 3| - 1) - 2| + 2) + 3 and g(x) = (-2(2sin(3π((2x - 3)/(1x + 2)) + 3) - 2) + 1)/(-2(2sin(3π((2x - 3)/(1x + 2)) + 3) - 2) - 2) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 4(1cos(1π(-3((3x + 2)/(-1x + 2)) + 2) + 1))^2 - 3(1cos(1π(-3((3x + 2)/(-1x + 2)) + 2) + 1)) - 4 = 2(1(-5x - 3)^2 - 5(-5x - 3) + 2)^2 - 3(1(-5x - 3)^2 - 5(-5x - 3) + 2) - 4 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -2(5(-3cos(2π(-1x + 2) - 3)) + 4) + 1 and g(x) = -1|(4(-1|x| + 3) - 3) - 3| - 3 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -3|(3|(-1|(-3cos(1πx - 1)) + 3| - 2) + 2| - 3) - 1| + 3 = -1((-1(3|x - 1| - 3) - 2)/(-2(3|x - 1| - 3) + 3)) - 3 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -5(2|(2|(1e^(2x) + 3) - 3| - 3)| + 3) + 1 and g(x) = -3|(-2(-2sin(2πx + 3) - 2)^2 + 2(-2sin(2πx + 3) - 2) - 5) - 3| - 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -1|(-2(3(-1x^2 - 3x + 2))^2 + 5(3(-1x^2 - 3x + 2)) - 4) + 3| + 2 and g(x) = (-2(5(-2|x - 2| - 1) + 4) - 3)/(2(5(-2|x - 2| - 1) + 4) - 1) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 3|(2(3e^(-2(-4x^2 + 4)) - 3)^2 - 4(3e^(-2(-4x^2 + 4)) - 3) - 2) + 2| + 2 = 3|((2(1cos(2πx + 3) - 1) + 3)/(-2(1cos(2πx + 3) - 1) - 1)) - 3| + 2 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (1(5((2(-2|x + 3| + 1) + 2)/(-1(-2|x + 3| + 1) + 3)) - 3))/(-1(5((2(-2|x + 3| + 1) + 2)/(-1(-2|x + 3| + 1) + 3)) - 3) - 1) and g(x) = (1(-5(2x)^2 - 1(2x) + 4) + 1)/(1(-5(2x)^2 - 1(2x) + 4)) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 3(1(-3((-1x + 2)/(-1x - 2)) - 5)^2 - 4(-3((-1x + 2)/(-1x - 2)) - 5) + 5) = 3(3cos(3π((1x + 3)/(1x)) - 2) + 2)^2 + 1(3cos(3π((1x + 3)/(1x)) - 2) + 2) + 5 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (2(1|(1(-1|x - 1| + 1) + 3) + 1| - 2) - 1)/(-1(1|(1(-1|x - 1| + 1) + 3) + 1| - 2) - 2) and g(x) = (-1(4((-3x - 1)/(-2x))^2 + 2((-3x - 1)/(-2x)) - 1))/(2(4((-3x - 1)/(-2x))^2 + 2((-3x - 1)/(-2x)) - 1) + 1) intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 1(-2(-4(2|x - 1|) + 5)) + 1 and g(x) = 1|((-1(3x + 4) + 2)/(2(3x + 4) + 1)) + 3| intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 1(-4(-1(1x^2 + 3x - 4) + 2)^2 - 3(-1(1x^2 + 3x - 4) + 2) + 1)^2 + 1(-4(-1(1x^2 + 3x - 4) + 2)^2 - 3(-1(1x^2 + 3x - 4) + 2) + 1) - 4 and g(x) = (1((1((1x - 2)/(3x + 3)) + 2)/(3((1x - 2)/(3x + 3)) - 2)) - 1)/(-2((1((1x - 2)/(3x + 3)) + 2)/(3((1x - 2)/(3x + 3)) - 2))) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 1|(-3sin(2π((-2((-2x - 1)/(3x + 3)) + 2)/(-2((-2x - 1)/(3x + 3)) + 1)) - 2)) - 3| + 2 and g(x) = 1|((-2(-1x^2 + 2x + 2) - 2)/(2(-1x^2 + 2x + 2) + 3)) + 3| + 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 2|(2sin(2π(4(-3x^2 + 2x)^2 - 2(-3x^2 + 2x) + 4) - 1)) + 3| - 1 and g(x) = 5(3sin(3π(-1|x + 2| - 3)) + 3)^2 + 5(3sin(3π(-1|x + 2| - 3)) + 3) in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = (3(2|(-1sin(1π((1x - 2)/(1x)) + 3) - 2) - 3| + 1) + 3)/(-2(2|(-1sin(1π((1x - 2)/(1x)) + 3) - 2) - 3| + 1) - 1) and g(x) = -1|(2sin(3π((2x - 3)/(-1x - 2)) + 1) - 2) + 2| in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -4(1e^(2(-3(-2x + 2) - 3)) - 2) - 5 and g(x) = 5(1cos(1π(-1x^2 + 5x - 2) - 2) + 1) in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -5(-2|(-1(2cos(2πx) + 1) + 3)| + 2)^2 + 5(-2|(-1(2cos(2πx) + 1) + 3)| + 2) + 4 = -5(2|(1|x + 2| + 2) + 1| + 2) + 3 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (1(-2(2(-4x - 3)^2 - 5(-4x - 3) - 3) - 4) + 1)/(2(-2(2(-4x - 3)^2 - 5(-4x - 3) - 3) - 4) - 1) = 3sin(2π(-4((1x - 3)/(3x - 2)) + 5)) + 2 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation -2|((-3(2|(-4x^2 + 5x + 4) - 3| + 2))/(1(2|(-4x^2 + 5x + 4) - 3| + 2) + 3)) - 3| + 3 = -3|(3cos(3π(-1|x + 2| + 3) + 3)) + 1| - 3 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (2(-4(-4((2x + 3)/(-3x - 2)) - 2) - 4) + 1)/(-1(-4(-4((2x + 3)/(-3x - 2)) - 2) - 4) + 2) and g(x) = -4(2(-3x + 1)^2 + 5(-3x + 1) - 5)^2 - 4(2(-3x + 1)^2 + 5(-3x + 1) - 5) + 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -5((1(-1(-1x^2 + 5x - 5)^2 - 4(-1x^2 + 5x - 5) + 4) - 1)/(3(-1(-1x^2 + 5x - 5)^2 - 4(-1x^2 + 5x - 5) + 4) - 2))^2 + 5((1(-1(-1x^2 + 5x - 5)^2 - 4(-1x^2 + 5x - 5) + 4) - 1)/(3(-1(-1x^2 + 5x - 5)^2 - 4(-1x^2 + 5x - 5) + 4) - 2)) and g(x) = -1(-1(-3cos(3πx - 1) + 1) + 3)^2 + 1(-1(-3cos(3πx - 1) + 1) + 3) + 2 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -1(5(-1(-2|x - 3| + 3)^2 - 5(-2|x - 3| + 3) + 2)^2 + 4(-1(-2|x - 3| + 3)^2 - 5(-2|x - 3| + 3) + 2) - 5)^2 + 5(5(-1(-2|x - 3| + 3)^2 - 5(-2|x - 3| + 3) + 2)^2 + 4(-1(-2|x - 3| + 3)^2 - 5(-2|x - 3| + 3) + 2) - 5) - 1 and g(x) = 1(-3sin(2π(4x^2 - 5x - 4) + 3) - 1)^2 + 2(-3sin(2π(4x^2 - 5x - 4) + 3) - 1) + 1 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -5(1((1((-2x)/(-2x + 1)) - 2)/(-2((-2x)/(-2x + 1)) + 3))^2 + 5((1((-2x)/(-2x + 1)) - 2)/(-2((-2x)/(-2x + 1)) + 3)) + 5) - 3 = (2(2|(1|x - 1|)| - 2) + 1)/(3(2|(1|x - 1|)| - 2) + 1) have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 1((-3(-3cos(2π(-2x - 1) + 2) - 2) + 3)/(-3(-3cos(2π(-2x - 1) + 2) - 2))) - 2 and g(x) = 2cos(2π((-3(-1x - 3) - 1)/(-1(-1x - 3) - 1)) - 2) + 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation (-2(3(-3(2x^2 + 5x - 1)^2 - 4(2x^2 + 5x - 1) + 5)^2 + 3(-3(2x^2 + 5x - 1)^2 - 4(2x^2 + 5x - 1) + 5) - 1) + 3)/(2(3(-3(2x^2 + 5x - 1)^2 - 4(2x^2 + 5x - 1) + 5)^2 + 3(-3(2x^2 + 5x - 1)^2 - 4(2x^2 + 5x - 1) + 5) - 1) + 3) = -4((-3(3x^2 - 4x) - 2)/(1(3x^2 - 4x) - 3)) + 1 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-2(-1((-1(5x - 4) - 3)/(-1(5x - 4) + 3))^2 - 3((-1(5x - 4) - 3)/(-1(5x - 4) + 3)) - 1) + 2)/(-1(-1((-1(5x - 4) - 3)/(-1(5x - 4) + 3))^2 - 3((-1(5x - 4) - 3)/(-1(5x - 4) + 3)) - 1) + 3) = -2|((2(3x^2 + 1x - 4) - 1)/(1(3x^2 + 1x - 4))) - 1| + 2 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -5(3(1cos(2π((-3x - 1)/(1x - 2)) + 2) + 2)^2 - 4(1cos(2π((-3x - 1)/(1x - 2)) + 2) + 2)) - 1 and g(x) = 1e^(1(-5(-1|x - 3|) - 3)) + 1 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -2(1(4(-3sin(3πx - 1) + 3)^2 + 5(-3sin(3πx - 1) + 3) - 2)) = 1(-1cos(1π((2x + 3)/(2x + 1)) + 3))^2 + 5(-1cos(1π((2x + 3)/(2x + 1)) + 3)) have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-3(3(-2((2x)/(-1x + 2))^2 + 5((2x)/(-1x + 2)) - 2)^2 - 5(-2((2x)/(-1x + 2))^2 + 5((2x)/(-1x + 2)) - 2) - 1) + 2)/(1(3(-2((2x)/(-1x + 2))^2 + 5((2x)/(-1x + 2)) - 2)^2 - 5(-2((2x)/(-1x + 2))^2 + 5((2x)/(-1x + 2)) - 2) - 1) - 3) = -2|(-2(-5x - 2) + 5) + 3| + 1 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -3|(-3((3((-2x)/(2x + 3)))/(-3((-2x)/(2x + 3)) + 2)) + 5) - 2| + 1 and g(x) = -3sin(1π((-3(3x + 3) + 2)/(-2(3x + 3) + 3)) + 1) - 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -4((2(-3sin(2π(1x^2 - 3x + 1)) - 1) - 3)/(-1(-3sin(2π(1x^2 - 3x + 1)) - 1) + 2)) - 1 and g(x) = (-2(1(1x^2 - 3x - 4)^2 - 1(1x^2 - 3x - 4) + 3) + 2)/(-1(1(1x^2 - 3x - 4)^2 - 1(1x^2 - 3x - 4) + 3) + 2) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -5(-3(-2(-3sin(3πx + 1) + 2)^2 + 1(-3sin(3πx + 1) + 2) + 2)^2 + 5(-2(-3sin(3πx + 1) + 2)^2 + 1(-3sin(3πx + 1) + 2) + 2))^2 - 3(-3(-2(-3sin(3πx + 1) + 2)^2 + 1(-3sin(3πx + 1) + 2) + 2)^2 + 5(-2(-3sin(3πx + 1) + 2)^2 + 1(-3sin(3πx + 1) + 2) + 2)) + 3 and g(x) = -1|((2(2sin(1πx)) - 3)/(3(2sin(1πx)) + 2)) + 1| + 2 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation (3((3(-1((3x - 3)/(-3x + 4)) - 5) + 2)/(-3(-1((3x - 3)/(-3x + 4)) - 5) - 2)) + 2)/(-2((3(-1((3x - 3)/(-3x + 4)) - 5) + 2)/(-3(-1((3x - 3)/(-3x + 4)) - 5) - 2))) = 3sin(3π(-3(-1|x - 3| + 1)^2 + 2(-1|x - 3| + 1) - 1)) - 2 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 4((2((2(-1cos(1πx - 2) - 2))/(1(-1cos(1πx - 2) - 2) - 3)) - 2)/(2((2(-1cos(1πx - 2) - 2))/(1(-1cos(1πx - 2) - 2) - 3)) + 2)) - 1 and g(x) = (2(-2(-2sin(2πx + 2) + 2) + 5) - 3)/(2(-2(-2sin(2πx + 2) + 2) + 5) - 1) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (2(-3e^(1((-3(1|x - 1| - 2) + 2)/(-3(1|x - 1| - 2) - 1)))) - 1)/(1(-3e^(1((-3(1|x - 1| - 2) + 2)/(-3(1|x - 1| - 2) - 1)))) - 3) = 1(1cos(1π((1x)/(1x - 2)) - 2) + 2)^2 - 4(1cos(1π((1x)/(1x - 2)) - 2) + 2) + 4 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-2(1(1|(-2sin(2πx + 3) - 1) + 2|)^2 + 2(1|(-2sin(2πx + 3) - 1) + 2|) - 5) + 1)/(2(1(1|(-2sin(2πx + 3) - 1) + 2|)^2 + 2(1|(-2sin(2πx + 3) - 1) + 2|) - 5) + 2) = -5(2(1cos(1πx + 1)) + 2) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -1(1cos(2π(-5((-1x)/(3x + 1))^2 + 5((-1x)/(3x + 1)) - 5) + 1) - 3) - 5 and g(x) = 4(-2cos(1π((3x - 1)/(1x + 3)) - 3) - 3)^2 + 5(-2cos(1π((3x - 1)/(1x + 3)) - 3) - 3) - 5 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (2(2e^(2((1(-4x^2 - 3x))/(1(-4x^2 - 3x) + 1))) - 3) + 2)/(-2(2e^(2((1(-4x^2 - 3x))/(1(-4x^2 - 3x) + 1))) - 3) + 3) and g(x) = 5(3|(2sin(2πx))| - 3) + 1 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = (-2(2sin(2π(1(2x^2 + 1x - 1)^2 + 2(2x^2 + 1x - 1) - 5) - 3) + 2) + 1)/(1(2sin(2π(1(2x^2 + 1x - 1)^2 + 2(2x^2 + 1x - 1) - 5) - 3) + 2) - 2) and g(x) = -1|(-3sin(1π((-1x)/(-1x + 2)) + 3)) - 1| in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -3|((-3(-3(3|x - 3| + 2)^2 + 1(3|x - 3| + 2) + 3) + 1)/(3(-3(3|x - 3| + 2)^2 + 1(3|x - 3| + 2) + 3) - 2)) - 3| + 1 and g(x) = (2((-2(-3sin(3πx - 2) + 2) - 2)/(1(-3sin(3πx - 2) + 2) + 3)) - 3)/(3((-2(-3sin(3πx - 2) + 2) - 2)/(1(-3sin(3πx - 2) + 2) + 3)) + 3) where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 3((-1(1(3cos(3πx - 3) + 1)) - 1)/(-3(1(3cos(3πx - 3) + 1)) + 4)) + 4 and g(x) = -1|(3cos(1π(-4x - 1) - 3) - 2)| - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 3((-2(-4(1x - 2) + 1) - 2)/(-3(-4(1x - 2) + 1) + 4))^2 - 1((-2(-4(1x - 2) + 1) - 2)/(-3(-4(1x - 2) + 1) + 4)) + 1 and g(x) = 2|(3sin(1π((2x)/(-2x + 1)) - 2) - 2)| - 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -1((-2(-5(-2|x - 3|) - 1) + 2)/(-3(-5(-2|x - 3|) - 1)))^2 + 4((-2(-5(-2|x - 3|) - 1) + 2)/(-3(-5(-2|x - 3|) - 1))) + 5 and g(x) = -1|(-3(3|x - 2|) - 1) + 3| - 3 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -1(-4(3|((-1x)/(3x - 2)) - 3| - 2) + 1) - 3 and g(x) = -1(-1|(3x^2 + 4x - 2) + 1| + 2) - 5 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 1(1(-5(1x + 3)^2 - 4(1x + 3) - 3) + 4)^2 - 3(1(-5(1x + 3)^2 - 4(1x + 3) - 3) + 4) and g(x) = -3cos(1π(-1(-2x - 3) + 4) + 1) - 1 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -4(1(-2|((2x + 1)/(-3x - 2)) + 3| + 1)^2 + 5(-2|((2x + 1)/(-3x - 2)) + 3| + 1) - 1) - 1 = -1|(2|(3|x + 2| + 1) + 3| + 1) - 3| - 3 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (2(1|(2cos(2π(-5x - 2) - 1)) - 2| + 1) - 1)/(1(1|(2cos(2π(-5x - 2) - 1)) - 2| + 1)) and g(x) = 2|(-1(3|x + 2|)^2 - 1(3|x + 2|) + 4)| - 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -2|(-3|(-3sin(1π(-1x^2 + 2x - 1) - 3) + 1) - 1| - 3)| + 1 = -2(1e^(-1(-1x^2 + 3x + 5)) - 1)^2 + 4(1e^(-1(-1x^2 + 3x + 5)) - 1) - 2 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -1cos(3π(1(2|(4x) + 1| - 2)^2 + 1(2|(4x) + 1| - 2) + 3) - 3) - 2 and g(x) = 3cos(3π(1|(2x^2 + 3x - 4) + 2| - 1) + 1) - 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -1cos(2π(-2|(2(-1x^2 + 3x)^2 + 3(-1x^2 + 3x) + 1) + 2|) + 2) - 2 and g(x) = 1e^(-1(4(-3x^2 + 2x + 3)^2 + 5(-3x^2 + 2x + 3) + 3)) - 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -1|(2|((2(1|x + 1| - 2))/(-3(1|x + 1| - 2) + 4)) + 3|) + 2| + 2 and g(x) = -3cos(2π(-1|(1x^2 - 5x - 5) + 3| - 2) + 2) where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = (2(2(-4(-5x + 2) - 3) + 4) + 2)/(2(2(-4(-5x + 2) - 3) + 4)) and g(x) = -1|(3cos(2π(-1x + 1) - 2) + 2) - 1| + 2 in the range -10 ≤ x ≤ 10?

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


[User]
How many solutions does the equation (-2(1((-2(4x^2 - 3x + 1) - 1)/(-2(4x^2 - 3x + 1) - 3)) + 5) - 1)/(2(1((-2(4x^2 - 3x + 1) - 1)/(-2(4x^2 - 3x + 1) - 3)) + 5) - 1) = -3cos(3π(2(3|x - 3| + 1)) - 2) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 5(3(-1(-1|x + 1| + 3))^2 + 5(-1(-1|x + 1| + 3)) - 5) - 4 and g(x) = 1|((-1(-4x - 2))/(3(-4x - 2) - 2)) - 2| in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -3|((3(-3(-1x - 3)^2 - 3(-1x - 3) + 5) - 1)/(3(-3(-1x - 3)^2 - 3(-1x - 3) + 5))) - 2| + 2 = 1sin(3π((1((1x + 2)/(-3x - 2)) + 2)/(-2((1x + 2)/(-3x - 2)) + 1)) - 1) - 3 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 2cos(2π((2(1(-5x)^2 - 2(-5x)) + 1)/(2(1(-5x)^2 - 2(-5x)) + 3)) + 3) + 3 and g(x) = -2e^(-1(2|(-2x^2 - 4x - 4) - 1| - 1)) + 2 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -3(-1((-3(3cos(2πx - 2) + 1) - 2)/(2(3cos(2πx - 2) + 1) + 2)) + 1) - 5 and g(x) = -2|((1((1x + 2)/(2x - 1)) - 3)/(3((1x + 2)/(2x - 1)) - 2)) - 3| + 1 intersect in the interval [-10, 10].

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


[User]
How many solutions does the equation -3((1(-1|((1x - 1)/(-3x + 1)) - 2| + 2) - 1)/(-2(-1|((1x - 1)/(-3x + 1)) - 2| + 2) + 3)) - 3 = 1(2sin(2π(-1|x - 2| + 1) - 3) - 2)^2 - 4(2sin(2π(-1|x - 2| + 1) - 3) - 2) - 2 have for x in the interval [-10, 10]?

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


[User]
How many solutions does the equation 2(1|(5(-3sin(2πx + 2) + 2) + 2) + 1|)^2 + 5(1|(5(-3sin(2πx + 2) + 2) + 2) + 1|) + 2 = 1|((-3(-2e^(1x) + 2) + 3)/(-2(-2e^(1x) + 2) + 3)) + 1| + 1 have for x in the interval [-10, 10]?

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


[User]
How many points of intersection exist between the functions f(x) = 4(-1(-2(3|x - 2| - 3) - 3) + 1) and g(x) = -5(-2(2cos(3πx)))^2 + 2(-2(2cos(3πx))) + 3 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (1(-3|(1e^(-2(2|x + 3| - 1)) - 3) - 1| + 2) + 2)/(3(-3|(1e^(-2(2|x + 3| - 1)) - 3) - 1| + 2)) and g(x) = (-3(2(3|x + 1| - 1) + 1) + 1)/(-2(2(3|x + 1| - 1) + 1)) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 4(2(-1((1x - 2)/(-2x - 2)) + 2) - 1) + 1 and g(x) = -4(-1sin(3π((-2x + 3)/(3x + 2)) - 3) + 1)^2 - 5 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 2|(-1|(1|((-2x - 3)/(3x + 2)) - 1| - 1) + 1| + 3) - 1| and g(x) = -1cos(1π(2((-2x - 1)/(1x)) + 2)) + 2 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 3sin(3π(4(-1(-2x - 2))^2 + 2(-1(-2x - 2))) + 2) + 1 and g(x) = -5(-3e^(2((1x - 2)/(2x + 2))))^2 + 3(-3e^(2((1x - 2)/(2x + 2)))) + 2 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 5((1((3(2x^2 - 2x + 2))/(-2(2x^2 - 2x + 2) - 3)))/(-1((3(2x^2 - 2x + 2))/(-2(2x^2 - 2x + 2) - 3)) + 2)) + 3 and g(x) = 3(4(-3cos(3πx) + 2) + 2)^2 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (-2(-1((3(2|x - 1| - 3) - 3)/(2(2|x - 1| - 3) - 3))) + 1)/(2(-1((3(2|x - 1| - 3) - 3)/(2(2|x - 1| - 3) - 3))) + 1) and g(x) = 1(-5(-1cos(2πx - 3) - 1)^2 + 5(-1cos(2πx - 3) - 1) + 4) - 4 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -4(-1((-2(-3x^2 + 2) - 3)/(-2(-3x^2 + 2) + 3)) + 1)^2 - 3(-1((-2(-3x^2 + 2) - 3)/(-2(-3x^2 + 2) + 3)) + 1) + 2 = 3|(3|(1x - 3) - 3| - 2) - 3| + 1 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-2((2(-3|(-1x + 3) - 2| + 1) + 1)/(1(-3|(-1x + 3) - 2| + 1) + 3)))/(-2((2(-3|(-1x + 3) - 2| + 1) + 1)/(1(-3|(-1x + 3) - 2| + 1) + 3)) + 3) = -4(-3(-3sin(2πx - 3) - 1) + 1) - 1 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation -3(-2cos(3π(2|(-5x^2 + 5x - 3) - 1| - 2) + 3) - 2) + 1 = (2(-1|(-2|x + 2| - 2)|))/(1(-1|(-2|x + 2| - 2)|)) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -2(3e^(-1(5(2|x|)^2 + 3(2|x|) - 2)) - 3)^2 - 4(3e^(-1(5(2|x|)^2 + 3(2|x|) - 2)) - 3) + 1 and g(x) = -2(1e^(-2(-4x^2 + 2x + 2)) - 1) - 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 1(1e^(-2(5(-4x^2 + 5x) - 4)) - 3)^2 + 1(1e^(-2(5(-4x^2 + 5x) - 4)) - 3) - 1 = -2sin(3π(-4(-2|x - 1| - 3) + 4) + 1) + 3 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 3sin(1π(-2(-2|(5x^2 - 2x + 4) + 1|) - 1) + 3) - 1 and g(x) = 1(-1|(3sin(2πx - 3) + 1) + 2| + 2) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 1cos(3π(1(2(5x - 1)^2 - 1(5x - 1) + 3) + 4) + 1) + 3 and g(x) = -2sin(3π(-3|(2x^2 - 2x + 3) + 1| - 2) + 3) + 3 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 5((3(-3sin(2π(1x - 5) + 1) + 2) + 2)/(-2(-3sin(2π(1x - 5) + 1) + 2) + 1)) - 1 = 3|(1|(-2|x - 2| - 3) - 1|) + 1| - 1 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -2|(1|((-3(-1cos(1πx - 3) - 3) - 1)/(-2(-1cos(1πx - 3) - 3) - 3)) - 2| - 2) + 1| - 2 and g(x) = -3cos(2π(4((3x)/(-3x + 2)) - 2) + 2) - 1 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -2e^(-1((-3(1(3|x - 1| + 3)^2 + 2(3|x - 1| + 3) - 4))/(1(1(3|x - 1| + 3)^2 + 2(3|x - 1| + 3) - 4) + 2))) - 1 and g(x) = -5(-1(2sin(2πx - 3) + 2) + 4)^2 + 2 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 2(-2|(-2|(1x + 2) + 3| + 2)| - 3)^2 - 1(-2|(-2|(1x + 2) + 3| + 2)| - 3) - 4 = 1(5(1e^(1x) - 1)^2 - 5(1e^(1x) - 1) + 3)^2 - 5(5(1e^(1x) - 1)^2 - 5(1e^(1x) - 1) + 3) - 2 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -3sin(3π(2|(1(-3|x| - 3)^2 - 4(-3|x| - 3) - 2) + 3| - 3) - 2) and g(x) = -3e^(1(5(5x + 3) + 5)) - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = (-2(3((-2((-2x)/(3x + 1)) - 3)/(2((-2x)/(3x + 1))))) + 3)/(-1(3((-2((-2x)/(3x + 1)) - 3)/(2((-2x)/(3x + 1))))) + 3) and g(x) = -2(-5(3sin(2πx - 3) - 1) + 4)^2 + 2(-5(3sin(2πx - 3) - 1) + 4) - 5 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -3|(2(-3sin(2π((-3x + 1)/(-1x - 2)) + 1) - 2) - 1) + 1| + 2 = (1(5(-2|x + 1| - 3)) - 2)/(2(5(-2|x + 1| - 3)) + 3) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (1(-4(-2sin(3π((-3x + 2)/(2x - 3)) - 2) - 3) - 5) - 2)/(-1(-4(-2sin(3π((-3x + 2)/(2x - 3)) - 2) - 3) - 5) + 3) and g(x) = -3(-1(1sin(2πx + 1) + 3) - 4) - 2 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = (3(2sin(2π(1|(3x^2 + 2x - 2) - 3| - 1) - 3) + 3) + 3)/(2(2sin(2π(1|(3x^2 + 2x - 2) - 3| - 1) - 3) + 3) + 1) and g(x) = 2(1((-2x)/(-3x + 1))^2 + 3((-2x)/(-3x + 1)) - 2)^2 + 4(1((-2x)/(-3x + 1))^2 + 3((-2x)/(-3x + 1)) - 2) - 3 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -2(-1|(1(-2cos(2πx - 3) - 1)^2 - 1(-2cos(2πx - 3) - 1) - 4) - 3| + 3) - 2 and g(x) = 2cos(2π(-2|(1x^2 + 1x + 5) - 2| + 2) - 2) + 3 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -2sin(2π(-2|(-1|((2x - 3)/(-3x + 1)) + 1| + 2) + 3| + 1) - 2) + 2 and g(x) = -2(-2sin(2π(-2x + 2) - 3) + 3)^2 + 2(-2sin(2π(-2x + 2) - 3) + 3) + 4 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -3cos(2π((-2(-1(-5x - 5)^2 + 3) - 3)/(-1(-1(-5x - 5)^2 + 3) + 3)) - 2) + 3 = (-1(1(-3x - 1) + 3))/(-2(1(-3x - 1) + 3) - 2) have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 3|((-1(2|(3|x + 2| + 1) - 1| - 3) + 2)/(-2(2|(3|x + 2| + 1) - 1| - 3)))| + 1 = -2sin(1π(-5(-2|x - 2| + 2)^2 + 4(-2|x - 2| + 2)) - 1) + 2 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 1e^(-1(-2|((-1(3x^2 - 1x - 1))/(-1(3x^2 - 1x - 1) + 2)) - 3| + 2)) - 3 and g(x) = 2|((-1(2|x + 1| - 3) + 2)/(2(2|x + 1| - 3) - 1)) - 3| - 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -3sin(1π(-2|(4(5x^2 + 2x)^2 + 4(5x^2 + 2x) + 5) + 3| - 3) - 1) + 3 = -2cos(3π(-3|(2|x - 2| + 1)| + 2) - 3) + 3 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation -3|(-4((-1(-1x + 1) - 1)/(2(-1x + 1) - 3))^2 - 2((-1(-1x + 1) - 1)/(2(-1x + 1) - 3)) + 3) - 2| = (1((2((-3x + 1)/(-3x - 2)) - 3)/(3((-3x + 1)/(-3x - 2)) + 3)) - 2)/(2((2((-3x + 1)/(-3x - 2)) - 3)/(3((-3x + 1)/(-3x - 2)) + 3)) + 2) have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-1(-3|(2cos(3π(3|x - 1|) - 1) + 1) - 2| + 3) + 3)/(-1(-3|(2cos(3π(3|x - 1|) - 1) + 1) - 2| + 3) + 2) = 3|(-1(4x + 5)^2 + 1(4x + 5)) - 3| + 3 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 1|(3(-2cos(2π((1x - 3)/(3x + 1)) - 2) + 3) + 4)| and g(x) = (-3((2(1x - 5) + 1)/(-3(1x - 5) + 1)) + 1)/(-2((2(1x - 5) + 1)/(-3(1x - 5) + 1)) - 1) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (-1(-1(2(1x^2 + 5x - 2) - 1) + 3) - 1)/(-1(-1(2(1x^2 + 5x - 2) - 1) + 3) + 2) = 1(-2(1x^2 + 5x + 1) - 2)^2 - 3(-2(1x^2 + 5x + 1) - 2) - 5 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 1|(1e^(-1(2|((2x)/(-2x))| - 2))) - 2| + 1 and g(x) = 1(2|(3|x - 3| - 2) - 2|)^2 - 5(2|(3|x - 3| - 2) - 2|) - 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -5(-5(3(1cos(1πx) + 1)^2 - 3(1cos(1πx) + 1) - 2)^2 + 2(3(1cos(1πx) + 1)^2 - 3(1cos(1πx) + 1) - 2) + 5)^2 - 5(-5(3(1cos(1πx) + 1)^2 - 3(1cos(1πx) + 1) - 2)^2 + 2(3(1cos(1πx) + 1)^2 - 3(1cos(1πx) + 1) - 2) + 5) + 3 and g(x) = 3sin(2π(-5(3|x - 2| + 1)^2 - 3(3|x - 2| + 1) - 2) - 1) - 2 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 3(3e^(-1((2(-1x^2 - 2x + 2) + 1)/(2(-1x^2 - 2x + 2)))))^2 - 1(3e^(-1((2(-1x^2 - 2x + 2) + 1)/(2(-1x^2 - 2x + 2))))) + 4 and g(x) = 3(1(-2|x + 1| - 3)^2 + 4(-2|x + 1| - 3) + 5)^2 - 4(1(-2|x + 1| - 3)^2 + 4(-2|x + 1| - 3) + 5) - 1 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 3(-1(-2(1cos(2πx + 1) - 2)^2 + 1(1cos(2πx + 1) - 2) + 2) - 5) + 5 and g(x) = 5(-1sin(2π((-1x + 1)/(1x + 3)) + 2)) + 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (-2((-2(-1cos(2π((1x - 1)/(3x - 2)) - 1) - 2) - 3)/(-1(-1cos(2π((1x - 1)/(3x - 2)) - 1) - 2) + 2)) + 1)/(-1((-2(-1cos(2π((1x - 1)/(3x - 2)) - 1) - 2) - 3)/(-1(-1cos(2π((1x - 1)/(3x - 2)) - 1) - 2) + 2)) - 3) and g(x) = (-3(-2|(-4x^2 - 2x) + 1|) - 3)/(3(-2|(-4x^2 - 2x) + 1|)) where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -4(3(4(-3|x + 2| + 3) - 4)^2 + 5(4(-3|x + 2| + 3) - 4) - 1)^2 + 3(3(4(-3|x + 2| + 3) - 4)^2 + 5(4(-3|x + 2| + 3) - 4) - 1) - 5 and g(x) = -5((-2(3|x + 1| - 3) - 3)/(2(3|x + 1| - 3) + 3))^2 + 2((-2(3|x + 1| - 3) - 3)/(2(3|x + 1| - 3) + 3)) - 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -2sin(2π(-3(-2|(-1|x| - 2)| - 3)^2 - 1(-2|(-1|x| - 2)| - 3) - 4) - 2) + 1 and g(x) = (-2((1(-2|x - 2| - 1) + 3)/(-3(-2|x - 2| - 1) + 1)))/(1((1(-2|x - 2| - 1) + 3)/(-3(-2|x - 2| - 1) + 1)) + 3) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 1(1((-2(-1|x - 2| + 2) - 3)/(2(-1|x - 2| + 2) - 1)))^2 + 3(1((-2(-1|x - 2| + 2) - 3)/(2(-1|x - 2| + 2) - 1))) - 4 and g(x) = 1|((-1(-4x - 1) + 3)/(2(-4x - 1) - 3))| + 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (-1(-3(3|((1x - 3)/(-1x + 2)) + 2| - 1)^2 + 3(3|((1x - 3)/(-1x + 2)) + 2| - 1) + 5))/(-1(-3(3|((1x - 3)/(-1x + 2)) + 2| - 1)^2 + 3(3|((1x - 3)/(-1x + 2)) + 2| - 1) + 5) + 2) and g(x) = -4(-2cos(1π(2|x| + 1) + 2) - 1) + 5 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 2(-3(-2cos(3π((-2x + 2)/(2x)) - 3) - 1) - 4) + 5 and g(x) = -2(4(-1x^2 + 2x + 4)^2 - 1(-1x^2 + 2x + 4) - 1)^2 - 2(4(-1x^2 + 2x + 4)^2 - 1(-1x^2 + 2x + 4) - 1) - 4 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 1(3(-2|(1x^2 + 5x - 1) + 1| - 1) + 1)^2 + 2(3(-2|(1x^2 + 5x - 1) + 1| - 1) + 1) - 3 and g(x) = 4(-2e^(1(2x - 3))) - 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 1(-4(2(2e^(-1x) - 3)^2 - 2(2e^(-1x) - 3) - 3)^2 + 1(2(2e^(-1x) - 3)^2 - 2(2e^(-1x) - 3) - 3) + 1) + 4 and g(x) = -4((2(-3sin(3πx + 1) + 2))/(3(-3sin(3πx + 1) + 2) - 2))^2 + 2((2(-3sin(3πx + 1) + 2))/(3(-3sin(3πx + 1) + 2) - 2)) - 4 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-1(-2(-3(-2|x|)^2 - 1(-2|x|) + 5)^2 - 3(-3(-2|x|)^2 - 1(-2|x|) + 5) + 1))/(-2(-2(-3(-2|x|)^2 - 1(-2|x|) + 5)^2 - 3(-3(-2|x|)^2 - 1(-2|x|) + 5) + 1) - 3) and g(x) = (2((-1(-1x^2 + 2x - 5))/(1(-1x^2 + 2x - 5) + 1)) + 2)/(-1((-1(-1x^2 + 2x - 5))/(1(-1x^2 + 2x - 5) + 1)) - 2) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -2|((3((3((2x)/(2x - 3)))/(3((2x)/(2x - 3)) - 2)))/(3((3((2x)/(2x - 3)))/(3((2x)/(2x - 3)) - 2)) - 1)) - 3| + 3 and g(x) = -5((-1((-1x - 2)/(3x + 3)) - 2)/(1((-1x - 2)/(3x + 3)) + 1))^2 + 2((-1((-1x - 2)/(3x + 3)) - 2)/(1((-1x - 2)/(3x + 3)) + 1)) + 3 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -2|((2(4(2sin(3πx - 2) - 3)^2 + 4(2sin(3πx - 2) - 3) - 1) - 3)/(1(4(2sin(3πx - 2) - 3)^2 + 4(2sin(3πx - 2) - 3) - 1) + 1)) - 1| and g(x) = -2(1|(-4x^2 - 3x - 3) - 3| + 1) - 5 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = (-1((2((1(-1x - 2) + 1)/(2(-1x - 2) + 1)))/(-2((1(-1x - 2) + 1)/(2(-1x - 2) + 1)))) + 1)/(-2((2((1(-1x - 2) + 1)/(2(-1x - 2) + 1)))/(-2((1(-1x - 2) + 1)/(2(-1x - 2) + 1)))) + 3) and g(x) = 3sin(1π(1((-3x - 1)/(-1x))^2 - 5((-3x - 1)/(-1x)) - 4) + 3) + 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = (-1(-4((3((2x + 2)/(-2x + 3)) + 3)/(-2((2x + 2)/(-2x + 3)) + 3))^2 + 4))/(1(-4((3((2x + 2)/(-2x + 3)) + 3)/(-2((2x + 2)/(-2x + 3)) + 3))^2 + 4) - 3) and g(x) = 4(2sin(1π(-1x^2 + 3x - 4)) + 3) - 5 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (-1((2(5(-1x + 4)^2 + 2(-1x + 4) + 2) + 2)/(1(5(-1x + 4)^2 + 2(-1x + 4) + 2) + 2)) + 2)/(-1((2(5(-1x + 4)^2 + 2(-1x + 4) + 2) + 2)/(1(5(-1x + 4)^2 + 2(-1x + 4) + 2) + 2)) - 1) and g(x) = -3sin(2π(3((-2x - 3)/(-1x - 3)) + 1) - 1) + 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -3(-2|(-1|(-3sin(3πx - 1) + 1) - 3| + 2)| + 1) - 2 and g(x) = 1|(2|(-1x - 2) + 1| - 1) - 3| - 2 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (-1(-1|(1sin(3π(3x^2 + 5x) + 1) - 1) - 3| + 3) - 2)/(3(-1|(1sin(3π(3x^2 + 5x) + 1) - 1) - 3| + 3) + 3) and g(x) = 2(3|(-2x^2 - 3x + 1) - 3| + 2) + 2 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -4(3sin(1π((-3(-3|x + 3| + 3))/(1(-3|x + 3| + 3) + 2)) + 3) - 1)^2 - 2(3sin(1π((-3(-3|x + 3| + 3))/(1(-3|x + 3| + 3) + 2)) + 3) - 1) + 1 and g(x) = -2sin(1π(2(-4x^2 - 2x + 5) - 5) + 3) + 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -2|(-5(-4(1x^2 + 4x + 1)^2 - 2(1x^2 + 4x + 1) + 1)^2 + 2(-4(1x^2 + 4x + 1)^2 - 2(1x^2 + 4x + 1) + 1) + 2)| - 2 and g(x) = -3|(4(-1e^(-2x) + 2) + 3)| + 2 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 3|(2|((-1((-2x + 1)/(-3x + 1)) + 3)/(1((-2x + 1)/(-3x + 1)) - 3)) + 3| - 3) - 1| - 1 and g(x) = -1cos(3π((-3(2x) - 3)/(2(2x) - 1)) - 3) - 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 5(-1(1((1x - 1)/(3x + 2))^2 + 3((1x - 1)/(3x + 2)) + 5)^2 + 1(1((1x - 1)/(3x + 2))^2 + 3((1x - 1)/(3x + 2)) + 5) - 1) - 3 and g(x) = -4(-2sin(1π(5x^2 + 4x - 5) - 2) - 3)^2 + 1(-2sin(1π(5x^2 + 4x - 5) - 2) - 3) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -2cos(2π(-4(2(2x^2 - 5)) + 4) + 3) and g(x) = 5(-4((3x - 3)/(-1x)) + 1) - 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = (3((3(5(-1|x| + 1) + 3) + 3)/(2(5(-1|x| + 1) + 3))) - 2)/(-3((3(5(-1|x| + 1) + 3) + 3)/(2(5(-1|x| + 1) + 3))) - 2) and g(x) = -2(1(-3cos(1πx + 3) - 2)^2 + 5(-3cos(1πx + 3) - 2))^2 - 1(1(-3cos(1πx + 3) - 2)^2 + 5(-3cos(1πx + 3) - 2)) + 2 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -1|(2(5(-3x^2 + 2x - 4) + 4) - 1) + 2| - 3 and g(x) = 4(-3|((-1x - 3)/(1x - 3)) + 2| + 2) - 5 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -2|(-1(2(1x^2 - 1x - 3)^2 - 3(1x^2 - 1x - 3) + 4) - 2) + 3| + 3 and g(x) = 1(1e^(-2((-1x - 1)/(-3x + 2))) - 1)^2 + 5(1e^(-2((-1x - 1)/(-3x + 2))) - 1) - 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -2|(-3(-3sin(2π(1|x + 3|) - 3) - 2)) + 1| - 1 and g(x) = -1|(2e^(-2(-2x - 1))) + 2| + 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -3|(2(-4(1x^2 + 5x - 5)^2 + 1(1x^2 + 5x - 5) - 2) + 4) + 1| + 3 and g(x) = -2|(-2|(3x^2 - 4x + 2) - 1| - 2) - 3| + 3 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 5(1(3|(-1|x + 2| + 1) - 1|)^2 + 3(3|(-1|x + 2| + 1) - 1|) - 4)^2 + 5(1(3|(-1|x + 2| + 1) - 1|)^2 + 3(3|(-1|x + 2| + 1) - 1|) - 4) + 1 and g(x) = (-2(-2cos(1π(4x - 4) + 2) - 1) + 3)/(-2(-2cos(1π(4x - 4) + 2) - 1)) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (1(1cos(3π((-3(5x - 5) + 1)/(3(5x - 5) + 2)) - 1) - 2) - 2)/(-3(1cos(3π((-3(5x - 5) + 1)/(3(5x - 5) + 2)) - 1) - 2) - 3) = (-2(-4(2x + 3)^2 + 1(2x + 3)) + 1)/(1(-4(2x + 3)^2 + 1(2x + 3)) - 3) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 3e^(-1(3(3|(-1|x + 1|) - 2| - 2) + 3)) and g(x) = 3cos(2π(3((2x)/(-3x + 4))^2 + 2((2x)/(-3x + 4)) - 2) + 3) - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -4((-2(-1e^(1((-1x + 1)/(1x + 1))) - 2) + 3)/(2(-1e^(1((-1x + 1)/(1x + 1))) - 2) + 2)) + 2 and g(x) = 5(-2(-2sin(3πx) + 3)^2 + 4(-2sin(3πx) + 3) + 5) in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 2cos(1π(3(1((3x)/(-1x - 3)) + 4) - 1)) and g(x) = -1e^(-1(1(2|x - 3| + 3)^2 - 4(2|x - 3| + 3) + 3)) - 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -4(-3cos(1π(1|(-2|x - 1| + 2) + 1| + 3) + 1)) + 4 and g(x) = (3(-2((3x + 2)/(2x + 1)) + 4) - 2)/(2(-2((3x + 2)/(2x + 1)) + 4) - 3) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -1|(-2|(3|((-2x - 1)/(-2x - 2)) - 1| + 1) - 3| + 2) - 1| + 2 and g(x) = (2(2|(1x^2 - 5x + 3) - 3| + 3) + 3)/(2(2|(1x^2 - 5x + 3) - 3| + 3) - 3) where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 2(-1e^(1((-2((-1x - 2)/(-3x + 2)) - 3)/(3((-1x - 2)/(-3x + 2)) - 2))) + 3) + 4 = (-2(3sin(3π(-1|x|)) - 2) - 3)/(-1(3sin(3π(-1|x|)) - 2)) have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (2(-3|(-4(5x^2 + 5x)^2 - 5(5x^2 + 5x) - 1) + 2|))/(2(-3|(-4(5x^2 + 5x)^2 - 5(5x^2 + 5x) - 1) + 2|) + 1) and g(x) = (2(-1((2x - 2)/(2x - 1)) + 4) - 2)/(-2(-1((2x - 2)/(2x - 1)) + 4) + 1) where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 3(3cos(1π(-1(4x - 4) + 1) - 2)) - 3 = -5(-4(1sin(3πx + 1) + 2) + 5) + 3 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -2(2|((-3(2|x| - 1) - 3)/(-2(2|x| - 1) + 1)) - 2| + 1) + 4 and g(x) = 3|(-1(3cos(3πx) + 2)^2 + 5(3cos(3πx) + 2) + 1) + 2| - 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation (3(1(3((-2x)/(2x + 2))^2 + 1((-2x)/(2x + 2)) - 4)^2 - 2(3((-2x)/(2x + 2))^2 + 1((-2x)/(2x + 2)) - 4) - 2) + 1)/(-1(1(3((-2x)/(2x + 2))^2 + 1((-2x)/(2x + 2)) - 4)^2 - 2(3((-2x)/(2x + 2))^2 + 1((-2x)/(2x + 2)) - 4) - 2) + 3) = 3sin(3π(-3(-3x + 1)^2 - 1(-3x + 1) + 5) + 1) have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -1sin(1π(3|(-4(-2x - 2)^2 - 3) + 1| - 3) - 1) + 2 and g(x) = 2|(3(-3x^2 + 2x + 1)^2 + 1(-3x^2 + 2x + 1) - 4) - 3| - 2 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = (-1(3cos(1π(2(5x - 5)^2 + 3(5x - 5) - 4) + 3) + 1) + 2)/(1(3cos(1π(2(5x - 5)^2 + 3(5x - 5) - 4) + 3) + 1) + 3) and g(x) = -4(-1(3sin(1πx) + 2) + 4)^2 + 3(-1(3sin(1πx) + 2) + 4) in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 3sin(1π(-1((-2(1x - 1) + 3)/(1(1x - 1) + 3)) - 1) + 1) - 3 and g(x) = (1(-3(-5x + 4)^2 - 2(-5x + 4) - 4) - 1)/(-3(-3(-5x + 4)^2 - 2(-5x + 4) - 4)) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 4(5(-2sin(2π(4x^2 - 5x - 5) + 2) + 2)^2 - 2(-2sin(2π(4x^2 - 5x - 5) + 2) + 2) - 3) - 3 and g(x) = 3(1(-1|x - 2| - 1)^2 + 1(-1|x - 2| - 1) - 3) - 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -3e^(-1(-5((2(-1|x + 3| + 3))/(1(-1|x + 3| + 3) - 2))^2 + 3((2(-1|x + 3| + 3))/(1(-1|x + 3| + 3) - 2)) + 1)) + 1 and g(x) = -1(-1|(-2sin(1πx - 2) + 3)| + 3) - 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 2(1cos(1π((-3(-1x - 2) - 1)/(1(-1x - 2) + 3)) - 3) + 3)^2 - 5(1cos(1π((-3(-1x - 2) - 1)/(1(-1x - 2) + 3)) - 3) + 3) - 5 and g(x) = 1(-1(-1sin(2πx - 1)) + 4)^2 - 1(-1(-1sin(2πx - 1)) + 4) - 4 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -2((1(-2|(2|x + 3| - 3) - 3| - 1) - 3)/(-1(-2|(2|x + 3| - 3) - 3| - 1) - 1))^2 - 5((1(-2|(2|x + 3| - 3) - 3| - 1) - 3)/(-1(-2|(2|x + 3| - 3) - 3| - 1) - 1)) + 1 and g(x) = 1((-2(-1|x + 3| - 3))/(-3(-1|x + 3| - 3) + 2))^2 + 3((-2(-1|x + 3| - 3))/(-3(-1|x + 3| - 3) + 2)) - 4 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 1|(-1cos(3π((-2(-3x^2 + 5x + 5) + 2)/(-2(-3x^2 + 5x + 5) - 3)) + 2) - 3) + 1| + 2 and g(x) = 1(-3e^(2(-1|x - 2| + 3)) + 1) + 5 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -4((-2(-2sin(3π(-1x + 3) + 2) + 2) + 1)/(3(-2sin(3π(-1x + 3) + 2) + 2) - 1))^2 + 1((-2(-2sin(3π(-1x + 3) + 2) + 2) + 1)/(3(-2sin(3π(-1x + 3) + 2) + 2) - 1)) + 5 and g(x) = (-2(-1e^(-1(3x - 1))))/(-1(-1e^(-1(3x - 1))) - 2) in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 1cos(2π(-5(-2(1x + 1) - 1)^2 - 1(-2(1x + 1) - 1) - 4) + 3) + 2 and g(x) = (2(-3(1x^2 - 3) - 1) + 1)/(3(-3(1x^2 - 3) - 1) - 1) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -2|(3((2(3x^2 - 5x + 2) - 1)/(1(3x^2 - 5x + 2)))^2 - 1((2(3x^2 - 5x + 2) - 1)/(1(3x^2 - 5x + 2))) - 4) - 1| + 2 and g(x) = -2sin(2π(3(1x^2 - 5x + 2) - 2) + 1) - 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 3|(4(1cos(2π(-1|x| + 2) - 2) + 3) - 5) - 1| - 3 and g(x) = 3|(2|((1x - 3)/(1x - 3)) + 2| - 3) - 3| + 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 4(-5(-5(-1sin(2πx - 2))^2 - 5(-1sin(2πx - 2)) + 3))^2 + 3(-5(-5(-1sin(2πx - 2))^2 - 5(-1sin(2πx - 2)) + 3)) - 5 and g(x) = (-2(-3e^(-2(-3|x - 2| - 2)) - 1))/(1(-3e^(-2(-3|x - 2| - 2)) - 1) - 2) where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 3|(3|((-3(-5x - 2))/(-3(-5x - 2) - 3)) - 1| - 3)| + 1 and g(x) = -1sin(1π(-1|(1x + 5) + 3| - 1) - 1) + 3 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = (1(-1|(-2(-5x^2 + 4x - 3)^2 - 2(-5x^2 + 4x - 3)) - 3| + 1) - 1)/(-1(-1|(-2(-5x^2 + 4x - 3)^2 - 2(-5x^2 + 4x - 3)) - 3| + 1) + 2) and g(x) = -4(3cos(3π(5x + 3) - 3)) + 5 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 3((1(-3cos(2π(-4x^2 + 3x + 4) + 2) - 2) - 1)/(-1(-3cos(2π(-4x^2 + 3x + 4) + 2) - 2) + 3)) - 1 and g(x) = (-2(-3((-3x + 3)/(-3x + 1)) + 1) + 1)/(3(-3((-3x + 3)/(-3x + 1)) + 1) + 1) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (-1(-3(1|(-1x + 2) - 1| - 1) + 4) + 2)/(2(-3(1|(-1x + 2) - 1| - 1) + 4) + 1) and g(x) = -1|(-4(-3|x + 1| + 3) - 1) + 3| - 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -4(3(2sin(3π(1|x - 2| + 1) - 3) - 3) - 5) + 1 and g(x) = 3|(1(-1x - 2) - 5) + 1| + 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (-2((3(1(1sin(2πx) + 1) + 4) + 3)/(-3(1(1sin(2πx) + 1) + 4) + 2)))/(1((3(1(1sin(2πx) + 1) + 4) + 3)/(-3(1(1sin(2πx) + 1) + 4) + 2)) - 3) and g(x) = 4(2sin(3π((-1x - 3)/(3x + 1)) - 2) - 1)^2 - 1(2sin(3π((-1x - 3)/(3x + 1)) - 2) - 1) - 4 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -1(-3((-1(-3e^(1x) + 1) - 2)/(-2(-3e^(1x) + 1) + 3))^2 - 2((-1(-3e^(1x) + 1) - 2)/(-2(-3e^(1x) + 1) + 3)))^2 + 5(-3((-1(-3e^(1x) + 1) - 2)/(-2(-3e^(1x) + 1) + 3))^2 - 2((-1(-3e^(1x) + 1) - 2)/(-2(-3e^(1x) + 1) + 3))) + 2 = (-2(-3sin(2π(1x - 2) - 3) - 3) + 1)/(-3(-3sin(2π(1x - 2) - 3) - 3) - 3) have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (3(1(-5(1e^(2x) - 3)) - 2) + 3)/(3(1(-5(1e^(2x) - 3)) - 2) - 2) = (-3(-3cos(3π(1x^2 + 5x + 1) + 2) - 1) - 1)/(-1(-3cos(3π(1x^2 + 5x + 1) + 2) - 1)) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (-2(-2sin(2π(-5(-5x - 5)^2 - 4(-5x - 5) - 2) + 1) + 1) + 1)/(2(-2sin(2π(-5(-5x - 5)^2 - 4(-5x - 5) - 2) + 1) + 1) + 2) and g(x) = 2|(3cos(2π((-1x - 3)/(2x + 1)) + 1) - 3) + 2| - 1 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -2e^(1(1(-1|((-2x)/(-3x - 2)) + 3| + 2)^2 + 2(-1|((-2x)/(-3x - 2)) + 3| + 2) - 3)) + 2 and g(x) = 1cos(2π(5(-1x^2 + 4) + 3) + 2) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -4(-4(3cos(1π(4x - 1) + 2) + 2)^2 - 1(3cos(1π(4x - 1) + 2) + 2) - 1)^2 - 3(-4(3cos(1π(4x - 1) + 2) + 2)^2 - 1(3cos(1π(4x - 1) + 2) + 2) - 1) - 1 and g(x) = -5((3(4x^2 - 3x - 1) - 1)/(2(4x^2 - 3x - 1) + 2)) + 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -1sin(1π((-3(5(-5x^2 + 5x - 1) - 2) - 3)/(3(5(-5x^2 + 5x - 1) - 2) - 1)) - 2) - 3 and g(x) = -3|(1(1|x + 1| - 3) + 1) - 3| where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 4(-1sin(1π(2(-4x^2 + 1x - 3) - 4) + 3) - 1) - 2 = -1(2|(1x - 4) - 3|) + 5 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 2(2(3|(-2x - 4) - 2| - 3) - 2)^2 - 4(2(3|(-2x - 4) - 2| - 3) - 2) - 3 and g(x) = 2|(-1sin(2π(-1x^2 + 3x + 5) + 3) + 2) + 2| - 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -5(-5(-1(5x^2 + 4x - 3)^2 - 2(5x^2 + 4x - 3) + 1)^2 - 4(-1(5x^2 + 4x - 3)^2 - 2(5x^2 + 4x - 3) + 1) + 5) + 4 and g(x) = 3(3sin(3π(-1x^2 - 5x - 5) + 1) + 2)^2 - 4(3sin(3π(-1x^2 - 5x - 5) + 1) + 2) - 3 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -4((1((-3(2|x + 2| - 3))/(3(2|x + 2| - 3) - 2)) + 3)/(-1((-3(2|x + 2| - 3))/(3(2|x + 2| - 3) - 2)) + 2))^2 + 5((1((-3(2|x + 2| - 3))/(3(2|x + 2| - 3) - 2)) + 3)/(-1((-3(2|x + 2| - 3))/(3(2|x + 2| - 3) - 2)) + 2)) - 3 and g(x) = -2|(1(-5x^2 + 5x + 3) + 4) + 3| + 3 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -1|(-1(-1(2|x + 1| - 1)^2 + 4(2|x + 1| - 1) - 5)^2 - 2(-1(2|x + 1| - 1)^2 + 4(2|x + 1| - 1) - 5) + 4) - 2| + 2 and g(x) = 2((-2(1x + 5) - 2)/(2(1x + 5) - 1))^2 + 2((-2(1x + 5) - 2)/(2(1x + 5) - 1)) - 3 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = (3((1(-3sin(3π(-2|x - 2|) + 3) - 2) + 2)/(-1(-3sin(3π(-2|x - 2|) + 3) - 2) + 3)))/(-1((1(-3sin(3π(-2|x - 2|) + 3) - 2) + 2)/(-1(-3sin(3π(-2|x - 2|) + 3) - 2) + 3)) + 2) and g(x) = 3|((1(-4x + 3) - 1)/(2(-4x + 3) - 1)) - 1| + 1 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = (1(1(1((3x - 2)/(-3x + 4)) + 2)^2 - 5(1((3x - 2)/(-3x + 4)) + 2) + 3))/(-3(1(1((3x - 2)/(-3x + 4)) + 2)^2 - 5(1((3x - 2)/(-3x + 4)) + 2) + 3) - 3) and g(x) = (-2(5(1cos(3πx) + 1)^2 - 3(1cos(3πx) + 1) - 1) + 2)/(-1(5(1cos(3πx) + 1)^2 - 3(1cos(3πx) + 1) - 1) + 3) where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation (3(3(3|(-2cos(2πx - 3)) + 1| - 2)^2 - 3(3|(-2cos(2πx - 3)) + 1| - 2) - 5) - 2)/(1(3(3|(-2cos(2πx - 3)) + 1| - 2)^2 - 3(3|(-2cos(2πx - 3)) + 1| - 2) - 5)) = -1|(-3e^(-2((2x)/(1x))) + 3) + 2| + 2 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -5(-1(4(5x^2 - 1x - 4) + 1) - 5)^2 - 5(-1(4(5x^2 - 1x - 4) + 1) - 5) + 4 and g(x) = (-1(2cos(2π(5x^2 + 4) + 3) - 2) + 2)/(3(2cos(2π(5x^2 + 4) + 3) - 2) + 1) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (3((-1(3sin(1π((3x)/(-3x - 1)) + 1) + 1) + 2)/(-2(3sin(1π((3x)/(-3x - 1)) + 1) + 1) + 3)) + 1)/(-2((-1(3sin(1π((3x)/(-3x - 1)) + 1) + 1) + 2)/(-2(3sin(1π((3x)/(-3x - 1)) + 1) + 1) + 3)) + 3) and g(x) = -3(-1|((-1x + 2)/(2x + 3)) + 2| - 3) + 4 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 2(2(1(3cos(2πx - 3) - 3) + 3) - 2) + 3 and g(x) = 2(2cos(2π((3x)/(-2x - 3)) - 2)) - 4 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 2(2(2cos(2π(-2|x + 1|) - 3) + 2)^2 - 4(2cos(2π(-2|x + 1|) - 3) + 2) + 1) - 4 = -3(3(-1|x + 1|)) - 2 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (3(1(-2(-5x^2 + 5x + 1) - 3) + 2) - 2)/(1(1(-2(-5x^2 + 5x + 1) - 3) + 2) - 2) and g(x) = -3(-1cos(1π((-1x - 2)/(3x + 1)) + 1) + 1)^2 - 4(-1cos(1π((-1x - 2)/(3x + 1)) + 1) + 1) - 4 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -2e^(1((1(5(-5x + 5)) - 1)/(-1(5(-5x + 5))))) + 1 = -5(-3|(1e^(-2x) - 2) + 1| + 2)^2 - 5(-3|(1e^(-2x) - 2) + 1| + 2) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = (-2((-3((-1(-3|x - 3| + 3) - 2)/(-2(-3|x - 3| + 3))) - 1)/(1((-1(-3|x - 3| + 3) - 2)/(-2(-3|x - 3| + 3))) - 2)) - 3)/(2((-3((-1(-3|x - 3| + 3) - 2)/(-2(-3|x - 3| + 3))) - 1)/(1((-1(-3|x - 3| + 3) - 2)/(-2(-3|x - 3| + 3))) - 2)) - 3) and g(x) = -3(5(1cos(3πx + 2) + 2) + 4) + 4 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (1(1(3sin(3π((-3x + 3)/(-3x - 1)) - 2) + 2) - 5))/(-1(1(3sin(3π((-3x + 3)/(-3x - 1)) - 2) + 2) - 5) - 2) and g(x) = -3|((1(5x - 1))/(-2(5x - 1) - 2)) + 3| + 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -1|(-2sin(1π(-5(-2|x - 3| + 2)) + 3) + 3)| + 2 = 3(-3cos(2π(-1x^2 + 4x + 2)) - 1)^2 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -2|(-2(-2(4x^2 + 3x - 5)^2 + 2(4x^2 + 3x - 5) - 5)^2 + 2(-2(4x^2 + 3x - 5)^2 + 2(4x^2 + 3x - 5) - 5) + 2) - 3| - 3 and g(x) = -5(3(1sin(3πx + 2) - 1)^2 - 2)^2 + 2(3(1sin(3πx + 2) - 1)^2 - 2) - 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -4(-3sin(3π(-5(5x^2 - 4x - 1)) - 3) + 1)^2 - 2(-3sin(3π(-5(5x^2 - 4x - 1)) - 3) + 1) + 1 and g(x) = -3cos(3π(1((-3x - 1)/(1x + 3)) + 5) + 3) + 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = (-2(-2(-4(-2|x - 1| + 2)^2 + 1(-2|x - 1| + 2) + 3) + 1) - 1)/(2(-2(-4(-2|x - 1| + 2)^2 + 1(-2|x - 1| + 2) + 3) + 1) - 1) and g(x) = -3|((-3(-2sin(2πx - 1) - 3) + 3)/(-1(-2sin(2πx - 1) - 3) + 2)) + 1| + 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 5(1(2cos(2π((1x - 1)/(1x)) - 2) + 1)^2 - 1(2cos(2π((1x - 1)/(1x)) - 2) + 1) - 2) and g(x) = 3sin(3π(-3((-2x - 2)/(1x)) - 1)) + 2 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (-3(2|(2(2|x + 2|) - 5) + 2|) + 2)/(-1(2|(2(2|x + 2|) - 5) + 2|) + 2) = 2|((2(4x + 4) + 1)/(-1(4x + 4) - 1)) - 2| + 3 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (-2((-1(1sin(3π(3|x| + 2) + 1)) + 2)/(2(1sin(3π(3|x| + 2) + 1)) - 1)) + 1)/(-2((-1(1sin(3π(3|x| + 2) + 1)) + 2)/(2(1sin(3π(3|x| + 2) + 1)) - 1)) - 3) and g(x) = 3|(1|(1|x - 3| - 1) + 3| + 2) + 1| + 2 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 2sin(2π(-1|((3((3x + 3)/(3x)) + 3)/(-3((3x + 3)/(3x)) + 2)) + 2| - 2) + 1) + 2 and g(x) = (-3(-3sin(2π(-2|x - 3| + 1) - 2) - 2))/(-3(-3sin(2π(-2|x - 3| + 1) - 2) - 2)) where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -1(3|(-3|(1x + 5) + 3| + 3)| + 1)^2 + 5(3|(-3|(1x + 5) + 3| + 3)| + 1) - 1 = -1|(3((-2x + 2)/(1x + 3)) + 4) + 2| - 1 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (-1(1(-2cos(3π(-4x + 5) + 2) + 1)^2 + 2(-2cos(3π(-4x + 5) + 2) + 1) - 3) - 3)/(-1(1(-2cos(3π(-4x + 5) + 2) + 1)^2 + 2(-2cos(3π(-4x + 5) + 2) + 1) - 3) - 1) and g(x) = (1(2|((-1x + 3)/(3x - 2)) + 1| + 2) - 1)/(1(2|((-1x + 3)/(3x - 2)) + 1| + 2) - 2) where -10 ≤ x ≤ 10.

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