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

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[User]
How many solutions does the equation (2(-2((-2(-1(3sin(1π(-3x - 4) + 1) + 1)^2 - 5(3sin(1π(-3x - 4) + 1) + 1) + 5) + 3)/(1(-1(3sin(1π(-3x - 4) + 1) + 1)^2 - 5(3sin(1π(-3x - 4) + 1) + 1) + 5))) + 3) - 2)/(3(-2((-2(-1(3sin(1π(-3x - 4) + 1) + 1)^2 - 5(3sin(1π(-3x - 4) + 1) + 1) + 5) + 3)/(1(-1(3sin(1π(-3x - 4) + 1) + 1)^2 - 5(3sin(1π(-3x - 4) + 1) + 1) + 5))) + 3) + 1) = (-2((-1(-3(-4(3sin(1πx + 2) + 2)^2 + 3(3sin(1πx + 2) + 2) + 2) + 2) - 2)/(1(-3(-4(3sin(1πx + 2) + 2)^2 + 3(3sin(1πx + 2) + 2) + 2) + 2) - 2)) + 3)/(-3((-1(-3(-4(3sin(1πx + 2) + 2)^2 + 3(3sin(1πx + 2) + 2) + 2) + 2) - 2)/(1(-3(-4(3sin(1πx + 2) + 2)^2 + 3(3sin(1πx + 2) + 2) + 2) + 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) = 3|(1((1(-2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5)^2 + 2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5) + 2) + 3)/(-3(-2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5)^2 + 2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5) + 2) + 4))^2 - 3((1(-2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5)^2 + 2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5) + 2) + 3)/(-3(-2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5)^2 + 2(1(1|x - 3| + 1)^2 - 5(1|x - 3| + 1) + 5) + 2) + 4))) + 2| - 3 and g(x) = 1|(3(2|(5(2x^2 - 3x - 4) + 5) - 2| - 2) + 2) + 2| + 3 where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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

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

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

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

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

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

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

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[User]
How many solutions does the equation -3cos(1π(2|(3|((2(-4((1x + 1)/(2x + 3))^2 - 4((1x + 1)/(2x + 3)) + 4))/(2(-4((1x + 1)/(2x + 3))^2 - 4((1x + 1)/(2x + 3)) + 4) + 3)) - 3| + 1)| - 2) + 3) - 2 = (-2((1(3((2(-3x - 5) + 1)/(-1(-3x - 5) - 2))^2 - 1((2(-3x - 5) + 1)/(-1(-3x - 5) - 2)) - 3) + 3)/(-3(3((2(-3x - 5) + 1)/(-1(-3x - 5) - 2))^2 - 1((2(-3x - 5) + 1)/(-1(-3x - 5) - 2)) - 3) + 1)))/(2((1(3((2(-3x - 5) + 1)/(-1(-3x - 5) - 2))^2 - 1((2(-3x - 5) + 1)/(-1(-3x - 5) - 2)) - 3) + 3)/(-3(3((2(-3x - 5) + 1)/(-1(-3x - 5) - 2))^2 - 1((2(-3x - 5) + 1)/(-1(-3x - 5) - 2)) - 3) + 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) = -5(-1sin(2π(3|(-3|(-1((-2x - 3)/(-3x - 3))) + 3| + 3)| - 2) + 3) - 1)^2 - 5(-1sin(2π(3|(-3|(-1((-2x - 3)/(-3x - 3))) + 3| + 3)| - 2) + 3) - 1) + 4 and g(x) = -5((2(-1sin(1π(-1|(2x - 3) + 2| + 3) - 3) - 1) + 2)/(2(-1sin(1π(-1|(2x - 3) + 2| + 3) - 3) - 1) + 3))^2 + 5 in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Find the number of times the graphs of f(x) = 1|(-2(3|(1|((-3(-1|x| - 3))/(3(-1|x| - 3) + 2)) - 2| + 2) + 2| + 3)) + 1| - 1 and g(x) = 2|(-2|((-1(-5(2sin(3πx - 1)) - 3) + 2)/(2(-5(2sin(3πx - 1)) - 3) + 1)) + 3| - 1) + 2| - 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((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 2)/(2((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 3)) - 1| + 2)^2 + 2(1|((-1((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 2)/(2((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 3)) - 1| + 2) + 4) - 1)/(-2(1(1|((-1((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 2)/(2((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 3)) - 1| + 2)^2 + 2(1|((-1((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 2)/(2((-2(1x^2 + 4x) + 2)/(-2(1x^2 + 4x) - 2)) + 3)) - 1| + 2) + 4) - 2) and g(x) = (2(5(5(3cos(1π(2x^2 + 2x) - 2) - 3) + 4) - 2))/(-2(5(5(3cos(1π(2x^2 + 2x) - 2) - 3) + 4) - 2) - 2) where -10 ≤ x ≤ 10.

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

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

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

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[User]
How many solutions does the equation -1(4(2cos(1π(-5(-3|((-2x + 1)/(-1x + 3))| + 2) + 3) - 3) + 1) + 3)^2 - 3 = -1(2|((-1((3(-3x - 1) + 3)/(-2(-3x - 1))) - 2)/(-1((3(-3x - 1) + 3)/(-2(-3x - 1))) - 3)) - 1| + 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) = 4((2((-1(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 1)/(2(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 2)) - 2)/(-2((-1(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 1)/(2(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 2))))^2 - 2((2((-1(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 1)/(2(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 2)) - 2)/(-2((-1(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 1)/(2(-3|(-4(2x^2 + 5x + 2)^2 + 3(2x^2 + 5x + 2) + 3) + 1| + 1) + 2)))) and g(x) = (1(2(1|((1((1x - 1)/(-2x - 1)) + 2)/(2((1x - 1)/(-2x - 1)) - 3)) - 3| + 2)^2 - 2(1|((1((1x - 1)/(-2x - 1)) + 2)/(2((1x - 1)/(-2x - 1)) - 3)) - 3| + 2) + 3) - 2)/(2(2(1|((1((1x - 1)/(-2x - 1)) + 2)/(2((1x - 1)/(-2x - 1)) - 3)) - 3| + 2)^2 - 2(1|((1((1x - 1)/(-2x - 1)) + 2)/(2((1x - 1)/(-2x - 1)) - 3)) - 3| + 2) + 3) + 1) in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Find the number of times the graphs of f(x) = -1|(3|(-2|((-2((2(-2e^(1x) + 2) - 2)/(-3(-2e^(1x) + 2))) + 2)/(1((2(-2e^(1x) + 2) - 2)/(-3(-2e^(1x) + 2)))))| + 3) + 1| + 3) + 3| + 3 and g(x) = -2|(-1e^(1((1(1((3x - 2)/(-2x + 1))^2 - 5((3x - 2)/(-2x + 1)) + 2) - 2)/(3(1((3x - 2)/(-2x + 1))^2 - 5((3x - 2)/(-2x + 1)) + 2)))) + 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) = -5(3(-5((1((3(1|x - 2| - 1) + 1)/(-1(1|x - 2| - 1) + 2)) + 2)/(1((3(1|x - 2| - 1) + 1)/(-1(1|x - 2| - 1) + 2)) - 2))^2 + 4((1((3(1|x - 2| - 1) + 1)/(-1(1|x - 2| - 1) + 2)) + 2)/(1((3(1|x - 2| - 1) + 1)/(-1(1|x - 2| - 1) + 2)) - 2)) + 3) + 4) + 3 and g(x) = 5(-1cos(2π((2((3(-1x - 5) - 2)/(-2(-1x - 5) + 3)) + 3)/(-1((3(-1x - 5) - 2)/(-2(-1x - 5) + 3)) + 2)) + 3) - 1) + 5 in the range -10 ≤ x ≤ 10?

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

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How many solutions does the equation 4((2(-2|(-3(-1(3|x + 3|)^2 + 2) - 5) + 1| + 2) - 3)/(3(-2|(-3(-1(3|x + 3|)^2 + 2) - 5) + 1| + 2) + 3)) - 5 = 1(-1|((2(-2|((-2x + 1)/(3x)) - 1| - 1))/(1(-2|((-2x + 1)/(3x)) - 1| - 1) - 3)) - 2| - 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) = 3|(4(2|(4(-3((1x + 1)/(-1x - 2))^2 - 4((1x + 1)/(-1x - 2)))^2 + 1(-3((1x + 1)/(-1x - 2))^2 - 4((1x + 1)/(-1x - 2))) + 1) - 1| - 2) - 3)| - 2 and g(x) = (1(-1((3(-2e^(1(2x^2 - 5x + 2)) + 3))/(1(-2e^(1(2x^2 - 5x + 2)) + 3) + 1)) + 5) + 1)/(-3(-1((3(-2e^(1(2x^2 - 5x + 2)) + 3))/(1(-2e^(1(2x^2 - 5x + 2)) + 3) + 1)) + 5) + 2) in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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How many solutions does the equation 3|(-4(-1sin(1π(5(-5((-3x + 2)/(-2x - 1)) - 3) - 4) + 1) + 1) - 1) - 1| + 2 = -5(3sin(2π((-1(-4(-5x^2 - 4x + 4)) - 3)/(-2(-4(-5x^2 - 4x + 4)) - 2)) + 3) + 1) + 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|(-5(4(3|(-3cos(1π(-2x + 2)) + 3) - 1| + 3)^2 + 5(3|(-3cos(1π(-2x + 2)) + 3) - 1| + 3) - 3) - 5) + 1| + 1 and g(x) = 5(5(1(-4(-1sin(2πx - 3) + 1) - 1) + 4))^2 + 5(5(1(-4(-1sin(2πx - 3) + 1) - 1) + 4)) - 5 where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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[User]
How many solutions does the equation -1(-4((-3(-1(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4)^2 - 5(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4) - 3) + 2)/(-2(-1(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4)^2 - 5(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4) - 3) - 2))^2 + 5((-3(-1(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4)^2 - 5(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4) - 3) + 2)/(-2(-1(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4)^2 - 5(-5((1x - 1)/(3x + 1))^2 + 1((1x - 1)/(3x + 1)) + 4) - 3) - 2))) - 4 = -1(1(-1e^(-1(2(2x + 4)^2 - 5(2x + 4) - 2)) + 3)^2 - 4)^2 - 5(1(-1e^(-1(2(2x + 4)^2 - 5(2x + 4) - 2)) + 3)^2 - 4) - 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((3(-4((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))^2 - 3((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))) + 3)/(-3(-4((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))^2 - 3((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))) + 2)) - 2)/(-2((3(-4((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))^2 - 3((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))) + 3)/(-3(-4((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))^2 - 3((2((-2x + 3)/(1x + 2)) - 1)/(3((-2x + 3)/(1x + 2))))) + 2)) + 3)) - 1| - 3 and g(x) = -2|(-4(1sin(2π(-1(2x)^2 + 1(2x) - 3) - 3))^2 + 1(1sin(2π(-1(2x)^2 + 1(2x) - 3) - 3)) + 5) - 2| - 2 intersect in the interval [-10, 10].

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How many solutions does the equation (2((-3(1(1(2|(1x + 1)| - 3) + 5)) - 1)/(2(1(1(2|(1x + 1)| - 3) + 5)))) - 1)/(3((-3(1(1(2|(1x + 1)| - 3) + 5)) - 1)/(2(1(1(2|(1x + 1)| - 3) + 5)))) - 1) = 1(-2cos(3π(-2|((1(-3x - 2))/(-1(-3x - 2) + 2)) + 3| + 1) - 3))^2 + 2(-2cos(3π(-2|((1(-3x - 2))/(-1(-3x - 2) + 2)) + 3| + 1) - 3)) - 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|(-1|(1|(-3(2|(5x^2 + 3x - 3) - 2| - 2)^2 - 1(2|(5x^2 + 3x - 3) - 2| - 2) + 3) + 1| + 3) - 1| - 3) - 3| - 1 and g(x) = (-1(-2cos(1π(2(2(-4x^2 - 4) + 1)^2 + 3(2(-4x^2 - 4) + 1) + 3) + 3) - 1) - 3)/(-2(-2cos(1π(2(2(-4x^2 - 4) + 1)^2 + 3(2(-4x^2 - 4) + 1) + 3) + 3) - 1) - 1) intersect in the interval [-10, 10].

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

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

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

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

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

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

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

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

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

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How many solutions does the equation -3(-2|((1(3(-2|(3x^2 - 3) + 3| - 1) + 4) + 1)/(-2(3(-2|(3x^2 - 3) + 3| - 1) + 4) + 3)) + 2| - 1) + 3 = (2(2(-4(1(1x^2 + 1x - 4) - 5) - 5)^2 + 4(-4(1(1x^2 + 1x - 4) - 5) - 5) - 1) + 2)/(-1(2(-4(1(1x^2 + 1x - 4) - 5) - 5)^2 + 4(-4(1(1x^2 + 1x - 4) - 5) - 5) - 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) = -3(2(3(-2(-5(3cos(1πx - 1) - 2)) + 5)^2 + 1(-2(-5(3cos(1πx - 1) - 2)) + 5) - 2) + 2) and g(x) = 4((-2(1|(3e^(2(2|x + 1|))) + 1| - 3) + 3)/(2(1|(3e^(2(2|x + 1|))) + 1| - 3) - 1)) - 5 where -10 ≤ x ≤ 10.

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

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

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[User]
How many solutions does the equation -1|(3|(3|(3(-5((-1x + 3)/(-2x + 1)) + 5)) + 2| - 1) - 3| + 1)| - 2 = 4(4(-4(-1(1e^(1x) - 2)^2 - 2(1e^(1x) - 2) - 1)^2 - 2(-1(1e^(1x) - 2)^2 - 2(1e^(1x) - 2) - 1) - 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) = 1|(-1|(1|(-5(3|(1x^2 + 2x - 3) - 2| - 1) - 4) - 1| - 3) - 1| + 2) + 3| - 3 and g(x) = 2(-2|((-1(-1(1x - 2) - 2) + 2)/(2(-1(1x - 2) - 2) + 1)) - 3| - 3)^2 + 1(-2|((-1(-1(1x - 2) - 2) + 2)/(2(-1(1x - 2) - 2) + 1)) - 3| - 3) + 1 where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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

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[User]
How many solutions does the equation -1|((-2(-3cos(3π(3|(-1(2|x + 1| - 3)^2 - 2(2|x + 1| - 3) + 2) + 2|) - 2) - 1) - 3)/(-3(-3cos(3π(3|(-1(2|x + 1| - 3)^2 - 2(2|x + 1| - 3) + 2) + 2|) - 2) - 1) + 2))| + 2 = (-3((-3(3|((2(1|x + 2| - 1))/(3(1|x + 2| - 1) + 2))| - 3))/(1(3|((2(1|x + 2| - 1))/(3(1|x + 2| - 1) + 2))| - 3) + 1)) - 2)/(3((-3(3|((2(1|x + 2| - 1))/(3(1|x + 2| - 1) + 2))| - 3))/(1(3|((2(1|x + 2| - 1))/(3(1|x + 2| - 1) + 2))| - 3) + 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) = -5(2(-1sin(3π(3|(-4(4x^2 - 5x + 5) - 1) + 2| + 3) + 3) - 1) - 1)^2 - 5(2(-1sin(3π(3|(-4(4x^2 - 5x + 5) - 1) + 2| + 3) + 3) - 1) - 1) + 5 and g(x) = 4(3(3sin(3π(3|((3x + 2)/(-3x - 3)) + 3| + 1) - 2) + 1)^2 + 3(3sin(3π(3|((3x + 2)/(-3x - 3)) + 3| + 1) - 2) + 1) - 5)^2 - 3(3(3sin(3π(3|((3x + 2)/(-3x - 3)) + 3| + 1) - 2) + 1)^2 + 3(3sin(3π(3|((3x + 2)/(-3x - 3)) + 3| + 1) - 2) + 1) - 5) + 3 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(1π(-1|(4((-2x + 1)/(1x + 3))^2 + 5((-2x + 1)/(1x + 3)) - 1)| - 3) - 2) - 3) + 3) + 1)/(-3(1(-2sin(1π(-1|(4((-2x + 1)/(1x + 3))^2 + 5((-2x + 1)/(1x + 3)) - 1)| - 3) - 2) - 3) + 3) + 2) and g(x) = -1|(2cos(2π(1((-2((2x - 3)/(-3x - 2)) + 3)/(-2((2x - 3)/(-3x - 2)) - 1)) - 3) - 2) + 1) + 1| - 2 where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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[User]
How many solutions does the equation (1(3(5(-3(3(-3x^2 - 2x - 1)^2 + 4(-3x^2 - 2x - 1) - 5) + 1)^2 - 3(-3(3(-3x^2 - 2x - 1)^2 + 4(-3x^2 - 2x - 1) - 5) + 1) - 4) - 4) + 3)/(1(3(5(-3(3(-3x^2 - 2x - 1)^2 + 4(-3x^2 - 2x - 1) - 5) + 1)^2 - 3(-3(3(-3x^2 - 2x - 1)^2 + 4(-3x^2 - 2x - 1) - 5) + 1) - 4) - 4) + 1) = 2cos(3π(-1|(-2|(1((-1x + 2)/(-2x + 1)) + 5) - 3|) + 1| + 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) = 4(2((-2(1e^(-2(1(4x^2 - 3x - 2) + 2)) + 1) - 3)/(-3(1e^(-2(1(4x^2 - 3x - 2) + 2)) + 1) - 2)) - 3)^2 - 2(2((-2(1e^(-2(1(4x^2 - 3x - 2) + 2)) + 1) - 3)/(-3(1e^(-2(1(4x^2 - 3x - 2) + 2)) + 1) - 2)) - 3) + 4 and g(x) = 1(-2|(5(3(2|x + 3| - 2) - 5) - 1) - 2| - 3)^2 + 1(-2|(5(3(2|x + 3| - 2) - 5) - 1) - 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) = (1(-3(-2|(5((1((-3x + 2)/(1x)) - 1)/(-2((-3x + 2)/(1x)) + 3))^2) + 3| - 1) + 2) - 1)/(-3(-3(-2|(5((1((-3x + 2)/(1x)) - 1)/(-2((-3x + 2)/(1x)) + 3))^2) + 3| - 1) + 2) - 2) and g(x) = -3(-2(-1((2(-3|x + 3| + 1))/(-2(-3|x + 3| + 1) + 1))^2 - 4((2(-3|x + 3| + 1))/(-2(-3|x + 3| + 1) + 1)) + 2) + 1) + 3 in the range -10 ≤ x ≤ 10?

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

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

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

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[User]
How many solutions does the equation -1cos(1π((2((-3(-1|(3(1|x - 2| + 2) - 5) - 2| + 2) - 1)/(3(-1|(3(1|x - 2| + 2) - 5) - 2| + 2))) - 2)/(1((-3(-1|(3(1|x - 2| + 2) - 5) - 2| + 2) - 1)/(3(-1|(3(1|x - 2| + 2) - 5) - 2| + 2))))) - 1) + 2 = 3|(-1(-2cos(2π((3(-1x - 5) - 3)/(-1(-1x - 5) - 3)) - 2) + 1) - 2) + 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|(2|((-2(3|(-1sin(3π(-2x - 5) - 2) - 3) + 3| - 2))/(3(3|(-1sin(3π(-2x - 5) - 2) - 3) + 3| - 2) + 1)) - 1| + 1) - 1| + 1 and g(x) = -1|((-3(-2(1(1e^(-2x) + 2) - 5) - 3) + 1)/(1(-2(1(1e^(-2x) + 2) - 5) - 3) - 3)) - 3| - 2 in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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

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

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

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