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

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


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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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