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

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

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

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

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

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

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

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

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

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

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

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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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