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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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