id
stringlengths 34
34
| setting_key
stringclasses 1
value | setting_name
stringclasses 0
values | messages
listlengths 1
1
| ground_truth
stringclasses 166
values | dataset
stringclasses 1
value |
|---|---|---|---|---|---|
trans_func_intersection_train_0800
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 3(-3sin(1π(-3|((3x - 1)/(3x + 3)) - 1| - 1) - 1))^2 + 5(-3sin(1π(-3|((3x - 1)/(3x + 3)) - 1| - 1) - 1)) - 2 = (2(2cos(1π(-4x^2 + 5x - 2) - 3) + 1) + 3)/(3(2cos(1π(-4x^2 + 5x - 2) - 3) + 1) - 1) have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
341
|
math
|
trans_func_intersection_train_0801
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = 2(-2sin(2π(3|x + 2| + 2) + 2) + 3)^2 + 4(-2sin(2π(3|x + 2| + 2) + 2) + 3) + 3 and g(x) = 3|(-4x^2 + 2x + 1)| + 3 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
trans_func_intersection_train_0802
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -3e^(-2(-1(5(2|x - 2|)^2 + 1(2|x - 2|) - 1) + 4)) + 1 and g(x) = -2|(-1((3x - 3)/(-2x))^2 - 4((3x - 3)/(-2x)) - 4)| - 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0803
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation (2(-3(-1(2e^(2x) + 2) + 4)^2 + 3(-1(2e^(2x) + 2) + 4) + 1) + 1)/(3(-3(-1(2e^(2x) + 2) + 4)^2 + 3(-1(2e^(2x) + 2) + 4) + 1) + 3) = 2e^(2(2(-2|x - 2| - 3) - 5)) - 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0804
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -5(-2(-2|((-2x - 3)/(-3x - 3)) + 1| + 2)^2 - 4(-2|((-2x - 3)/(-3x - 3)) + 1| + 2) + 5) - 3 and g(x) = (-2(2|(-1x^2 - 4x - 2) + 1| + 2) + 2)/(3(2|(-1x^2 - 4x - 2) + 1| + 2)) intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0805
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -1(2|((2(-2x + 1) - 2)/(2(-2x + 1))) + 2| + 2)^2 - 4 and g(x) = (2(-1|(1x + 2) + 1| + 3) + 2)/(-2(-1|(1x + 2) + 1| + 3) + 3) intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0806
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -3(-1|(-2((3x - 3)/(1x - 2)) - 3) - 3| + 2)^2 + 3(-1|(-2((3x - 3)/(1x - 2)) - 3) - 3| + 2) - 4 and g(x) = -1|(1((-1x - 3)/(1x))) - 1| where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
trans_func_intersection_train_0807
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -4(-1(-2|x - 1| + 2) + 1)^2 + 5(-1(-2|x - 1| + 2) + 1) + 4 and g(x) = 1(-1e^(1x) - 1)^2 + 3(-1e^(1x) - 1) - 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0808
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (1(-1x^2 + 3x - 1) - 1)/(3(-1x^2 + 3x - 1) + 2) and g(x) = (2x)/(-1x - 2) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0809
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -1|(-3x - 1) + 2| - 2 = (3x)/(-1x) have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0810
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (1(2(-4(1|x - 3|)^2 - 1(1|x - 3|) - 1)) - 1)/(1(2(-4(1|x - 3|)^2 - 1(1|x - 3|) - 1)) + 1) and g(x) = -3cos(2π(4((3x - 3)/(1x)) + 4) + 1) + 3 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
162
|
math
|
trans_func_intersection_train_0811
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -3(-3x - 1)^2 + 3(-3x - 1) - 2 and g(x) = -1x - 3 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0812
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -4((1x + 2)/(-1x + 2))^2 + 2((1x + 2)/(-1x + 2)) + 4 and g(x) = -1|x| - 2 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0813
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = 1cos(2π(-1x^2 + 3x) + 1) - 1 and g(x) = 4x^2 - 2x - 3 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0814
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 1(-1(2e^(-1(-1|x - 1| - 2)) + 1)^2 - 5(2e^(-1(-1|x - 1| - 2)) + 1) - 3) - 2 and g(x) = -1((-2(-1x) - 3)/(-2(-1x) - 1))^2 - 2((-2(-1x) - 3)/(-2(-1x) - 1)) - 1 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0815
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = 5(4x + 2)^2 - 4(4x + 2) - 1 and g(x) = 4x^2 + 1x + 2 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0816
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (3(-1x^2 - 5x) - 2)/(2(-1x^2 - 5x) + 1) and g(x) = -1x - 3 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0817
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -3sin(2π(-1x^2 + 2x - 1) - 1) + 2 and g(x) = 1|x - 1| + 2 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
34
|
math
|
trans_func_intersection_train_0818
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = 1|(-4((-1(2cos(1πx + 2) - 1) + 3)/(3(2cos(1πx + 2) - 1) - 1))^2 - 4((-1(2cos(1πx + 2) - 1) + 3)/(3(2cos(1πx + 2) - 1) - 1)) + 1) - 2| - 1 and g(x) = (-2(2cos(3π(4x + 4) - 2) - 3))/(1(2cos(3π(4x + 4) - 2) - 3) + 3) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
71
|
math
|
trans_func_intersection_train_0819
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -1(-1cos(2πx) - 1)^2 - 1(-1cos(2πx) - 1) + 3 and g(x) = -3|x + 2| + 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0820
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 5((-1(1|x - 3| - 1) + 3)/(1(1|x - 3| - 1)))^2 + 3((-1(1|x - 3| - 1) + 3)/(1(1|x - 3| - 1))) - 3 = (-1(-1x + 3) - 3)/(2(-1x + 3) + 1) have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0821
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 1sin(2π((-2(2x^2 - 1x - 1) + 3)/(-2(2x^2 - 1x - 1) + 3)) + 2) + 1 and g(x) = 5(1|x + 2| - 3)^2 - 5(1|x + 2| - 3) - 2 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0822
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = 3cos(2π(4x^2 + 5x + 3) - 2) + 3 and g(x) = -2|x| + 1 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
trans_func_intersection_train_0823
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 2cos(2π((1(4(-3x + 4)^2 - 2(-3x + 4)) - 3)/(1(4(-3x + 4)^2 - 2(-3x + 4)) - 2)) - 1) and g(x) = 4(1((1x + 2)/(-2x + 3)) - 1)^2 - 5(1((1x + 2)/(-2x + 3)) - 1) - 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0824
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -1cos(2π(2((-3x)/(2x + 1)) + 5) - 1) - 3 and g(x) = -1((-2x + 2)/(2x + 2)) - 2 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
trans_func_intersection_train_0825
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -4((-2(5(3|x + 2| + 2)^2 - 3(3|x + 2| + 2)) + 1)/(-2(5(3|x + 2| + 2)^2 - 3(3|x + 2| + 2)) - 1)) - 2 and g(x) = (-3(2|(1sin(3πx + 2) + 2) - 1| + 2))/(2(2|(1sin(3πx + 2) + 2) - 1| + 2) - 3) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
38
|
math
|
trans_func_intersection_train_0826
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 4(-1cos(3πx + 3) - 1) - 4 = -2|x + 3| + 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
trans_func_intersection_train_0827
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = 4(-3|x + 3| - 1) - 4 and g(x) = -3|x - 2| + 2 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0828
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -4((-3(-1x + 2) + 2)/(3(-1x + 2) - 1))^2 - 2((-3(-1x + 2) + 2)/(3(-1x + 2) - 1)) = (-1(3e^(-2x) - 3) - 3)/(2(3e^(-2x) - 3) + 1) have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0829
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation (2(2(-2(-2|x - 2| - 1)^2 - 2(-2|x - 2| - 1) + 4) + 2))/(1(2(-2(-2|x - 2| - 1)^2 - 2(-2|x - 2| - 1) + 4) + 2) + 3) = (-1(4(3|x - 2|)^2 - 3(3|x - 2|) - 1) + 1)/(-1(4(3|x - 2|)^2 - 3(3|x - 2|) - 1) - 1) have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0830
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -3(1sin(1πx + 3) + 3) + 4 = -1x have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
trans_func_intersection_train_0831
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = (3(4(-3|(2x^2 + 5x - 3) - 3| + 3) - 2))/(3(4(-3|(2x^2 + 5x - 3) - 3| + 3) - 2) - 2) and g(x) = (3(-2(1x + 1)^2 - 5(1x + 1) + 4) + 1)/(-1(-2(1x + 1)^2 - 5(1x + 1) + 4) - 3) where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0832
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 3|((-2(1x^2 - 3x - 5))/(-3(1x^2 - 3x - 5) + 1)) + 2| = 2|(-4x + 3) + 3| have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
trans_func_intersection_train_0833
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 5(-3|(2cos(3πx + 2) - 2) - 1| + 2) - 2 = (-1(1|x + 3| + 3) + 1)/(1(1|x + 3| + 3) - 3) have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0834
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -3(3|(-4x^2 - 4x + 2) + 2| - 2) - 5 and g(x) = (-1(1|x - 1| + 1))/(-2(1|x - 1| + 1)) where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0835
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = (-3(1sin(3πx + 2) - 2) - 1)/(2(1sin(3πx + 2) - 2) + 2) and g(x) = -1x^2 - 3x + 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
44
|
math
|
trans_func_intersection_train_0836
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -1|(-1(3cos(2πx + 2) - 2)^2 - 3) - 1| + 1 and g(x) = -2((1x)/(1x + 2))^2 - 1((1x)/(1x + 2)) + 1 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
trans_func_intersection_train_0837
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = (-1(3|(2sin(3π(5x^2 + 4x - 1))) + 1| - 2) + 3)/(1(3|(2sin(3π(5x^2 + 4x - 1))) + 1| - 2)) and g(x) = 5(-1(-2|x - 2| - 3)^2 + 1(-2|x - 2| - 3) - 3) + 5 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0838
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -3|(5(-4x - 3)^2 - 1(-4x - 3) - 5) + 2| - 1 and g(x) = -3e^(-2(-1x^2 + 5x + 2)) - 2 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0839
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -3e^(2((-2x - 1)/(2x - 1))) - 1 and g(x) = -3|x + 3| + 1 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0840
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -1(3x - 2)^2 - 2(3x - 2) + 4 = (1x + 2)/(-1x + 3) have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0841
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -1cos(1π(-4x^2 - 3x + 5) - 2) - 1 and g(x) = 3x^2 + 1x - 5 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
trans_func_intersection_train_0842
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (-1(-2(-5x^2 + 3) - 2) + 1)/(-2(-2(-5x^2 + 3) - 2) + 3) and g(x) = -1|(1x - 5) + 3| - 3 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0843
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 2(3|((3x + 2)/(1x + 3))|)^2 - 2 = 4(1|x + 1|) - 2 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0844
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (3(1|(2e^(2x) + 1) + 1| - 3) + 1)/(2(1|(2e^(2x) + 1) + 1| - 3) - 1) and g(x) = 3|(4x^2 - 2x - 5) + 1| + 1 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0845
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -1((-1(2cos(1π(-5x - 2) + 2)) - 1)/(-1(2cos(1π(-5x - 2) + 2)) - 1))^2 - 2((-1(2cos(1π(-5x - 2) + 2)) - 1)/(-1(2cos(1π(-5x - 2) + 2)) - 1)) + 5 and g(x) = 1|(-2(2cos(3πx + 3) - 3)^2 + 4(2cos(3πx + 3) - 3) + 5) + 3| intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
90
|
math
|
trans_func_intersection_train_0846
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -3(3|x + 3| + 1)^2 - 1(3|x + 3| + 1) - 2 and g(x) = (-2x + 1)/(1x + 2) intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0847
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -1(-3(-1|x + 3|) - 3)^2 + 3(-3(-1|x + 3|) - 3) + 1 = -1cos(3π(1|x - 2| - 3) + 1) + 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
trans_func_intersection_train_0848
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation (-3(2|x|))/(1(2|x|) - 2) = -2x^2 + 2x - 5 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0849
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 4((2(-1(2|x + 3| + 1) - 2))/(3(-1(2|x + 3| + 1) - 2) + 1))^2 + 5((2(-1(2|x + 3| + 1) - 2))/(3(-1(2|x + 3| + 1) - 2) + 1)) - 1 and g(x) = -3((-2(2|x + 1| - 2) + 2)/(2(2|x + 1| - 2) - 1))^2 + 5((-2(2|x + 1| - 2) + 2)/(2(2|x + 1| - 2) - 1)) + 4 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0850
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (1(1(5x^2 + 2x - 5) + 2) - 2)/(3(1(5x^2 + 2x - 5) + 2) - 2) and g(x) = (-1(1|x - 2| - 3) + 3)/(3(1|x - 2| - 3) + 2) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0851
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -2|(4((-2(-5x - 4) - 1)/(-3(-5x - 4) - 2))^2 - 4((-2(-5x - 4) - 1)/(-3(-5x - 4) - 2)) + 1) - 1| + 2 and g(x) = -3(2|((2x)/(3x)) + 1| - 2)^2 + 2 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0852
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = 2cos(1π((1x - 2)/(2x - 1)) - 1) and g(x) = -1|x + 1| - 1 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0853
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 1(-1|(-2((1x - 2)/(-1x))^2 + 2((1x - 2)/(-1x)) - 1) + 2| - 2) - 5 and g(x) = 4(-1((-3x + 3)/(-3x - 2))^2 - 3((-3x + 3)/(-3x - 2)) + 2) + 4 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0854
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 5(-3sin(3π(-2(1|x| - 2) + 4) - 1) - 2)^2 + 2(-3sin(3π(-2(1|x| - 2) + 4) - 1) - 2) + 2 = 2|(-2(-3x^2 - 2x - 3) - 1) + 1| - 1 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
36
|
math
|
trans_func_intersection_train_0855
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = 3(-2|((-2(-5x^2 - 5x) + 2)/(3(-5x^2 - 5x) - 2)) - 1| + 2) + 4 and g(x) = -5(1(-1|x - 2| + 3)^2 + 4(-1|x - 2| + 3) - 2) - 4 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
trans_func_intersection_train_0856
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (1(-3|x - 2|) + 3)/(-3(-3|x - 2|) - 3) and g(x) = -3x - 3 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0857
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 2(-1|(1x^2 + 1x) + 3|) + 4 and g(x) = 2cos(2π(-2|x + 2|) - 1) - 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
trans_func_intersection_train_0858
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -2((1(1x - 1) + 1)/(3(1x - 1) - 1))^2 - 1((1(1x - 1) + 1)/(3(1x - 1) - 1)) + 4 and g(x) = (-2(2sin(3πx + 1) + 1) - 2)/(3(2sin(3πx + 1) + 1) + 3) intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0859
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 2cos(1π(4x^2 + 1x - 5) - 1) + 1 and g(x) = 2x^2 - 1 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
trans_func_intersection_train_0860
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -1|(1(-3x - 3)^2 + 5(-3x - 3) - 3) - 1| + 3 and g(x) = -3sin(2π(1|x + 1| + 3) + 3) + 2 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0861
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = (-3(3sin(3πx - 2) - 3) - 2)/(-3(3sin(3πx - 2) - 3) + 2) and g(x) = (-1x + 2)/(1x + 2) where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
29
|
math
|
trans_func_intersection_train_0862
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (1(1|x - 1| - 3) + 1)/(1(1|x - 1| - 3)) and g(x) = 5x - 2 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0863
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -2|(-1((-2(4x + 3) - 3)/(-1(4x + 3) + 3))^2 - 2((-2(4x + 3) - 3)/(-1(4x + 3) + 3)) + 3) + 2| - 2 and g(x) = 5(2|(-1x + 3) - 3| - 1)^2 + 1(2|(-1x + 3) - 3| - 1) - 5 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0864
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -2sin(2π(-2|x + 1| + 1) + 3) - 1 and g(x) = -4x - 3 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0865
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 3(3cos(1πx) + 1) - 1 and g(x) = 4x - 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
trans_func_intersection_train_0866
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -2|(-2sin(3π(-1(-3x^2 + 5x - 4) + 3)) + 2) + 1| + 1 and g(x) = 1sin(1π(-1((2x + 1)/(1x + 1)) + 5) + 2) - 2 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
1326
|
math
|
trans_func_intersection_train_0867
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -1sin(2π(-1((2(4x^2 + 4x + 3) + 3)/(-1(4x^2 + 4x + 3) + 3)) - 2) - 3) - 3 and g(x) = (-1(3|(-4x^2 + 5x + 1)|) - 3)/(2(3|(-4x^2 + 5x + 1)|) - 1) intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
trans_func_intersection_train_0868
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = (3(1(-1x^2 + 5x - 3) + 5) - 3)/(1(1(-1x^2 + 5x - 3) + 5) - 2) and g(x) = 4(-3cos(1πx + 3) + 3)^2 + 4(-3cos(1πx + 3) + 3) where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
trans_func_intersection_train_0869
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = 2(-2|(1x) + 1| + 1)^2 - 5(-2|(1x) + 1| + 1) + 3 and g(x) = -1(-5x^2 + 2x + 2) + 4 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0870
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -1((1x + 1)/(-2x + 1))^2 - 2((1x + 1)/(-2x + 1)) + 4 and g(x) = (3x - 1)/(2x - 3) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0871
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -2e^(-2(-3((3(-2x^2 + 3x - 4))/(-1(-2x^2 + 3x - 4) + 2)) - 1)) - 3 and g(x) = -3|(3sin(3π(2x)) + 1) + 3| where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
trans_func_intersection_train_0872
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 2(3|((-1(-2x^2 + 1x + 1) + 3)/(3(-2x^2 + 1x + 1) + 1))| - 2) - 4 = 2|(-2cos(3π(4x^2 + 4x) - 1) + 1) + 1| - 1 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
trans_func_intersection_train_0873
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -1cos(1π((2x + 3)/(-3x - 2)) + 3) + 2 and g(x) = (-3x + 3)/(-3x) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
trans_func_intersection_train_0874
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (-2(2(1x)^2 - 5(1x) - 2) + 1)/(1(2(1x)^2 - 5(1x) - 2) + 3) and g(x) = 2e^(-1(2|x + 1| - 2)) + 2 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0875
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 1|(1((1(-5x^2 + 3x + 1) - 2)/(-2(-5x^2 + 3x + 1) + 1)) + 1) + 1| - 2 and g(x) = 1sin(3π(4(2|x + 3| - 1)^2 + 5(2|x + 3| - 1) + 1) + 2) - 1 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
1322
|
math
|
trans_func_intersection_train_0876
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 2|(3sin(3π(4(-1x^2 + 3x + 1) - 5) - 3) - 3) - 3| and g(x) = 2((2(5x^2 + 2x - 5) - 3)/(-1(5x^2 + 2x - 5) - 3)) + 5 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
trans_func_intersection_train_0877
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = (2(2|(-2x^2 - 1x + 4) - 2| - 1) + 1)/(-1(2|(-2x^2 - 1x + 4) - 2| - 1) + 3) and g(x) = (1(-5x - 3) + 3)/(2(-5x - 3)) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
trans_func_intersection_train_0878
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -4((2(-1|(1x^2 + 1x - 2) + 3| + 1) + 1)/(3(-1|(1x^2 + 1x - 2) + 3| + 1) + 3)) + 1 = 1(2e^(-2(5x + 2)) - 2)^2 + 5(2e^(-2(5x + 2)) - 2) + 2 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0879
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = 2|(4(-2sin(3π(1x^2 + 4x - 3) - 2) + 2) - 4) + 2| - 1 and g(x) = 4(-1((2x - 3)/(-1x + 2))^2 + 5((2x - 3)/(-1x + 2)) - 2) + 3 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
trans_func_intersection_train_0880
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -2(2(-1|x - 3| + 3)^2 + 1(-1|x - 3| + 3) - 5) and g(x) = -2sin(3π(1x + 5)) - 1 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
trans_func_intersection_train_0881
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -1((-3(-4(-3|x - 2| - 1)^2 + 2(-3|x - 2| - 1) + 4) + 3)/(2(-4(-3|x - 2| - 1)^2 + 2(-3|x - 2| - 1) + 4) - 3)) - 4 and g(x) = -1|(3sin(1π(-2x + 2)) + 2) + 2| in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
40
|
math
|
trans_func_intersection_train_0882
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -5(4x + 3)^2 + 1(4x + 3) - 2 = 4x - 1 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0883
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Determine the number of intersection points between the functions f(x) = -5(4(2sin(2πx + 3) + 1) + 2)^2 - 5(4(2sin(2πx + 3) + 1) + 2) and g(x) = 4((-1x + 2)/(-1x - 3))^2 - 3((-1x + 2)/(-1x - 3)) + 1 where -10 ≤ x ≤ 10.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
32
|
math
|
trans_func_intersection_train_0884
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = -2|(1e^(1((-3x + 1)/(-1x - 1))) - 1) - 2| - 3 and g(x) = -2|(-1x - 4) + 2| + 1 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0885
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 3(-1|(-2x + 1) + 3| + 2)^2 - 1(-1|(-2x + 1) + 3| + 2) + 4 = 2((-3x + 1)/(-2x)) + 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
trans_func_intersection_train_0886
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -3(-5(-3cos(3π(3|x| + 2) + 1) + 2)^2 + 5(-3cos(3π(3|x| + 2) + 1) + 2) + 5) + 4 and g(x) = 1|(-3(-3e^(-1x) + 2)^2 - 1(-3e^(-1x) + 2) - 3) - 3| - 3 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
194
|
math
|
trans_func_intersection_train_0887
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -3(4x - 3)^2 + 1(4x - 3) + 1 and g(x) = -4x^2 + 1x in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0888
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = 3((-2(2|(-2x^2 - 4x) - 2| - 1) + 2)/(2(2|(-2x^2 - 4x) - 2| - 1) + 3)) - 5 and g(x) = 1(-3e^(-1(2x + 5)))^2 - 1(-3e^(-1(2x + 5))) - 3 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0889
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -1cos(3π(-2|(-1x^2 + 3x - 5)| + 3) - 3) + 3 and g(x) = 2|(-2e^(-2x) + 2) + 3| + 3 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0890
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -2|(-1sin(2π(2((-2x - 3)/(-3x + 4))^2 - 5((-2x - 3)/(-3x + 4)) - 2) - 1) + 1) - 1| - 2 and g(x) = (2(3(2cos(2πx - 2)) - 4) + 2)/(2(3(2cos(2πx - 2)) - 4) - 1) in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
37
|
math
|
trans_func_intersection_train_0891
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = 3(1(-1cos(2πx + 1) - 2)^2 - 5) - 3 and g(x) = 2((2x + 1)/(1x + 1))^2 + 2((2x + 1)/(1x + 1)) + 3 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0892
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation (-1(-1|(4x^2 + 2x + 5) + 1| - 2) - 2)/(-2(-1|(4x^2 + 2x + 5) + 1| - 2) - 1) = 3cos(2π((1x - 3)/(-1x)) - 2) + 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
68
|
math
|
trans_func_intersection_train_0893
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many points of intersection exist between the functions f(x) = -2sin(1π(1x + 1) - 1) + 3 and g(x) = -2x + 1 in the range -10 ≤ x ≤ 10?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0894
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 3((-1x - 3)/(-1x - 2))^2 - 5((-1x - 3)/(-1x - 2)) - 3 = 3x^2 + 3x + 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
trans_func_intersection_train_0895
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -2|(-1sin(3πx + 3) - 1) - 1| + 1 = -3x have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
trans_func_intersection_train_0896
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "Find the number of times the graphs of f(x) = 1|((-3(1x - 5) + 3)/(3(1x - 5) + 3)) - 2| - 3 and g(x) = 5(2cos(3πx - 1) + 2)^2 intersect in the interval [-10, 10].\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
42
|
math
|
trans_func_intersection_train_0897
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 4((1(-1|x - 1| - 2) + 1)/(1(-1|x - 1| - 2) + 2)) - 1 = -2cos(1π((-1x - 1)/(-2x - 3))) + 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
trans_func_intersection_train_0898
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation 5(-1(3cos(2π((-1x + 1)/(-3x - 3)) - 3) - 3)^2 - 5(3cos(2π((-1x + 1)/(-3x - 3)) - 3) - 3) - 5) - 1 = 2|(1(1x^2 - 5x - 2) - 2) + 1| + 3 have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
trans_func_intersection_train_0899
|
trans_func_intersection
| null |
[
{
"role": "user",
"content": "How many solutions does the equation -1(3((-1(2sin(2πx) + 2) - 3)/(-1(2sin(2πx) + 2) - 1)) + 2)^2 + 5(3((-1(2sin(2πx) + 2) - 3)/(-1(2sin(2πx) + 2) - 1)) + 2) + 1 = -3|((-1(-1e^(2x) + 1))/(3(-1e^(2x) + 1) - 1)) + 2| have for x in the interval [-10, 10]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
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