Dataset Viewer
id
stringlengths 31
70
| setting_key
stringclasses 31
values | difficulty
stringclasses 1
value | level
int64 1
1
| messages
listlengths 1
1
| ground_truth
stringlengths 1
19
| dataset
stringclasses 1
value | omega_split
stringclasses 1
value | __index_level_0__
int64 0
160k
|
|---|---|---|---|---|---|---|---|---|
math_algebra_func_area_level_1_1_0
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3|(-2sin(1πx - 2) + 2) - 2| + 2, g(x) = 4x^2 + 1x - 5, x = -1.4, and x = -1.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 0 |
math_algebra_func_area_level_1_1_1
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2sin(3π(3x - 2) + 2) + 1, g(x) = -2x^2 + 2x + 4, x = -0.6, and x = -0.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 1 |
math_algebra_func_area_level_1_1_2
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (3(-1e^(-1x) - 2) - 1)/(-3(-1e^(-1x) - 2) - 3) and g(x) = -3|x + 1| + 3 between the vertical lines x = -2.4 and x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.5
|
math
|
train
| 2 |
math_algebra_func_area_level_1_1_3
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2(-4x^2 - 5x + 5) - 1 and g(x) = -2x - 4 from x = -2.0 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18.4
|
math
|
train
| 3 |
math_algebra_func_area_level_1_1_4
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1(-1cos(1πx - 2) + 1) + 5, g(x) = 2|x + 2| - 1, x = -4.1, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12.7
|
math
|
train
| 4 |
math_algebra_func_area_level_1_1_5
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2(4x^2 + 1x) - 3 and g(x) = -4x^2 - 5x - 4 between the vertical lines x = -0.2 and x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.3
|
math
|
train
| 5 |
math_algebra_func_area_level_1_1_6
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (3(3sin(1πx + 3) + 1) - 2)/(-2(3sin(1πx + 3) + 1) + 3) and g(x) = 1|x + 2| - 1 between the vertical lines x = 3.1 and x = 4.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10.6
|
math
|
train
| 6 |
math_algebra_func_area_level_1_1_7
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 4(-2cos(3πx - 2) + 2) + 4, g(x) = -2x + 2, x = -3.0, and x = -2.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.4
|
math
|
train
| 7 |
math_algebra_func_area_level_1_1_8
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2sin(2π(-2|x - 1|) - 2) - 1 and g(x) = (-2x + 3)/(-3x) between the vertical lines x = 4.4 and x = 4.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 8 |
math_algebra_func_area_level_1_1_9
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2sin(1π(-3|x - 3| + 3)), g(x) = (-2x + 3)/(-2x - 2), x = 2.4, and x = 2.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 9 |
math_algebra_func_area_level_1_1_10
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3sin(1π(1|x + 3| + 2)) - 3 and g(x) = 4x^2 + 4x - 5 from x = -1.2 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.9
|
math
|
train
| 10 |
math_algebra_func_area_level_1_1_11
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2|((-2x + 2)/(2x - 1)) + 1| and g(x) = 2|x - 2| - 1 from x = 1.9 to x = 2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 11 |
math_algebra_func_area_level_1_1_12
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(-4x^2 + 3x - 3) - 1)/(1(-4x^2 + 3x - 3) - 2) and g(x) = -2|x - 2| + 2 between the vertical lines x = 0.8 and x = 3.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.8
|
math
|
train
| 12 |
math_algebra_func_area_level_1_1_13
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3cos(3π(-3x^2 + 1) + 3) + 2, g(x) = -1x - 3, x = -2.2, and x = -2.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 13 |
math_algebra_func_area_level_1_1_14
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3sin(1π((2x - 2)/(1x)) + 3) - 1 and g(x) = 5x + 3 between the vertical lines x = -0.4 and x = -0.30000000000000004. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 14 |
math_algebra_func_area_level_1_1_15
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3cos(3π(-1x^2 - 5x + 1) + 3) + 1 and g(x) = 1x - 4 from x = 4.5 to x = 4.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 15 |
math_algebra_func_area_level_1_1_16
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 5(-1x^2 + 3x - 1)^2 + 1(-1x^2 + 3x - 1), g(x) = -1x + 3, x = 0.0, and x = 0.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.2
|
math
|
train
| 16 |
math_algebra_func_area_level_1_1_17
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1(5x^2 - 3x + 4) - 1)/(-2(5x^2 - 3x + 4) - 1) and g(x) = -2x^2 + 1x + 4 from x = -1.3 to x = 1.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9.0
|
math
|
train
| 17 |
math_algebra_func_area_level_1_1_18
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (3((2x - 2)/(1x)) + 3)/(2((2x - 2)/(1x)) - 1), g(x) = (-1x + 1)/(2x + 2), x = -0.6, and x = 0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.9
|
math
|
train
| 18 |
math_algebra_func_area_level_1_1_19
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3|((-1x - 2)/(2x + 2)) - 3| + 3 and g(x) = 1x - 2 between the vertical lines x = -1.4 and x = -1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.6
|
math
|
train
| 19 |
math_algebra_func_area_level_1_1_20
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (1(1|x - 3| + 2))/(3(1|x - 3| + 2) + 1), g(x) = -3x^2 + 2x + 2, x = -0.5, and x = 1.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.2
|
math
|
train
| 20 |
math_algebra_func_area_level_1_1_21
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1((1x + 2)/(2x + 3)) - 3 and g(x) = -3x^2 + 4x + 3 from x = -1.5 to x = -0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.3
|
math
|
train
| 21 |
math_algebra_func_area_level_1_1_22
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1(-2sin(2πx - 2) - 3)^2 + 1(-2sin(2πx - 2) - 3) and g(x) = 2x from x = -3.7 to x = -3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.3
|
math
|
train
| 22 |
math_algebra_func_area_level_1_1_23
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -5(-1x^2 - 4x + 2)^2 + 3(-1x^2 - 4x + 2) - 5, g(x) = -2|x - 2| - 3, x = 0.2, and x = 0.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 23 |
math_algebra_func_area_level_1_1_24
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2sin(1π(-5x + 4) - 2) and g(x) = 1|x + 2| from x = -2.1 to x = -1.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 24 |
math_algebra_func_area_level_1_1_25
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1(-1cos(1πx) + 3) + 2 and g(x) = 1x between the vertical lines x = -0.2 and x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 25 |
math_algebra_func_area_level_1_1_26
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2(3x^2 - 2x - 4)^2 + 1(3x^2 - 2x - 4) + 2 and g(x) = (2x)/(2x + 2) from x = 1.4 to x = 1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 26 |
math_algebra_func_area_level_1_1_27
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1(-2sin(2πx + 2) - 2) + 5 and g(x) = 2x^2 + 3x + 3 from x = -2.3 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11.3
|
math
|
train
| 27 |
math_algebra_func_area_level_1_1_28
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2cos(2π(-1x^2 - 5x + 3) - 3) - 3, g(x) = -3x^2 + 5x + 2, x = -0.8, and x = -0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 28 |
math_algebra_func_area_level_1_1_29
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5(2|x + 1| - 2) - 1 and g(x) = -4x - 4 from x = -1.6 to x = 0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9.6
|
math
|
train
| 29 |
math_algebra_func_area_level_1_1_30
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3e^(2(-3x - 3)) - 1 and g(x) = (-2x - 3)/(1x + 3) between the vertical lines x = -0.6 and x = -0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 30 |
math_algebra_func_area_level_1_1_31
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2cos(1π(3x - 2) - 1) + 3 and g(x) = -4x - 5 from x = -2.0 to x = -1.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.6
|
math
|
train
| 31 |
math_algebra_func_area_level_1_1_32
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1(-4x^2 + 2x - 1) - 1 and g(x) = 2x - 4 from x = -0.7 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.9
|
math
|
train
| 32 |
math_algebra_func_area_level_1_1_33
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3(1sin(3πx) - 1)^2 + 4(1sin(3πx) - 1) + 1 and g(x) = -4x^2 + 2x from x = 0.2 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5.0
|
math
|
train
| 33 |
math_algebra_func_area_level_1_1_34
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2|(-3x^2 + 1)| - 1 and g(x) = 3x^2 - 5x + 2 from x = -2.4 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11.4
|
math
|
train
| 34 |
math_algebra_func_area_level_1_1_35
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2(1cos(3πx - 1)) + 2 and g(x) = 2x + 3 from x = -0.8 to x = -0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 35 |
math_algebra_func_area_level_1_1_36
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1e^(-1(-2x^2 + 5x + 5)) + 2 and g(x) = -2|x - 3| + 2 from x = -1.0 to x = 3.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15.1
|
math
|
train
| 36 |
math_algebra_func_area_level_1_1_37
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1|(-1sin(3πx - 1) + 2)| + 3, g(x) = -2x + 1, x = -1.9, and x = -1.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 37 |
math_algebra_func_area_level_1_1_38
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1cos(3π(-1x^2 + 3x - 4) + 2) + 2, g(x) = (1x)/(3x + 2), x = -0.9, and x = -0.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 38 |
math_algebra_func_area_level_1_1_39
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1cos(3π(4x + 3) - 2) + 2, g(x) = 5x^2 + 2x - 1, x = 0.5, and x = 0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 39 |
math_algebra_func_area_level_1_1_40
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(-1x + 2) - 2) + 1 and g(x) = (2x - 1)/(2x + 2) between the vertical lines x = 2.4 and x = 3.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.5
|
math
|
train
| 40 |
math_algebra_func_area_level_1_1_41
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2cos(3π(2|x + 2| + 2) - 3) - 3, g(x) = -2x - 3, x = 0.6, and x = 0.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 41 |
math_algebra_func_area_level_1_1_42
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1((-2x - 1)/(-3x - 2)) + 3 and g(x) = 2|x + 3| from x = -1.0 to x = -0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 42 |
math_algebra_func_area_level_1_1_43
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1cos(2π(4x^2 - 5x + 5)) + 2 and g(x) = -5x + 2 from x = 0.1 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 43 |
math_algebra_func_area_level_1_1_44
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2|(-3cos(1πx - 1) + 1) + 3| - 2 and g(x) = 4x + 5 from x = -4.3 to x = -3.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.8
|
math
|
train
| 44 |
math_algebra_func_area_level_1_1_45
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2|(3cos(2πx)) + 3| - 1, g(x) = 1x^2 - 3, x = 2.3, and x = 2.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.1
|
math
|
train
| 45 |
math_algebra_func_area_level_1_1_46
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2sin(3π(1x - 4) - 1) + 3 and g(x) = (1x - 3)/(1x + 1) between the vertical lines x = -3.2 and x = -2.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 46 |
math_algebra_func_area_level_1_1_47
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (3(3cos(3πx + 3)) + 2)/(-3(3cos(3πx + 3)) - 1), g(x) = -1|x + 3| + 1, x = 0.8, and x = 1.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.1
|
math
|
train
| 47 |
math_algebra_func_area_level_1_1_48
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1((1x + 2)/(3x + 2))^2 - 5((1x + 2)/(3x + 2)) - 3, g(x) = -1x, x = -1.0, and x = -0.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 48 |
math_algebra_func_area_level_1_1_49
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5(-3sin(1πx + 2) + 2) - 4 and g(x) = (2x)/(-1x - 2) from x = 1.7 to x = 2.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 49 |
math_algebra_func_area_level_1_1_50
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3(-5x^2 + 2x + 1)^2 - 3(-5x^2 + 2x + 1) + 1, g(x) = (1x + 1)/(3x + 2), x = -0.3, and x = 0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.1
|
math
|
train
| 50 |
math_algebra_func_area_level_1_1_51
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -4(1x^2 - 5x + 2)^2 + 4 and g(x) = 1|x| + 2 from x = 0.3 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 51 |
math_algebra_func_area_level_1_1_52
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1(1x - 1) and g(x) = -4x^2 + 3x + 5 between the vertical lines x = -0.6 and x = 1.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7.5
|
math
|
train
| 52 |
math_algebra_func_area_level_1_1_53
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(2cos(3πx + 3) - 2) - 3)/(-2(2cos(3πx + 3) - 2) - 1), g(x) = (-2x + 1)/(-2x + 3), x = 1.1, and x = 1.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44.5
|
math
|
train
| 53 |
math_algebra_func_area_level_1_1_54
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (1(-3sin(2πx + 2) - 3) + 2)/(-2(-3sin(2πx + 2) - 3) - 3) and g(x) = 2|x| between the vertical lines x = 3.3 and x = 3.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.8
|
math
|
train
| 54 |
math_algebra_func_area_level_1_1_55
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3((1x + 2)/(-3x - 1))^2 + 1((1x + 2)/(-3x - 1)) + 5 and g(x) = 3|x + 2| + 2 between the vertical lines x = -3.0 and x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2.1
|
math
|
train
| 55 |
math_algebra_func_area_level_1_1_56
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (3(2x^2 + 4x - 1) + 2)/(3(2x^2 + 4x - 1)) and g(x) = 3x - 2 from x = 0.2 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7.5
|
math
|
train
| 56 |
math_algebra_func_area_level_1_1_57
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-1(1cos(2πx + 1) + 1) + 3)/(-2(1cos(2πx + 1) + 1) + 3) and g(x) = -1x - 5 from x = 4.0 to x = 4.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12.7
|
math
|
train
| 57 |
math_algebra_func_area_level_1_1_58
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2e^(1(-1|x + 3| + 3)) + 1 and g(x) = 3|x| - 3 from x = -0.4 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.6
|
math
|
train
| 58 |
math_algebra_func_area_level_1_1_59
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (1(1x^2 - 5x + 1) - 1)/(-2(1x^2 - 5x + 1)), g(x) = -1|x + 2| - 3, x = 0.2, and x = 4.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32.3
|
math
|
train
| 59 |
math_algebra_func_area_level_1_1_60
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1cos(2π(-3x^2 + 3x + 4) - 3) + 3, g(x) = -2x - 1, x = -2.4, and x = -2.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 60 |
math_algebra_func_area_level_1_1_61
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (1(-3cos(1πx + 3)) + 1)/(-3(-3cos(1πx + 3)) + 2) and g(x) = -3x^2 - 1x + 1 between the vertical lines x = -3.5 and x = -2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24.8
|
math
|
train
| 61 |
math_algebra_func_area_level_1_1_62
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(-3cos(3πx) - 1) + 2)/(-3(-3cos(3πx) - 1) - 1) and g(x) = -1x^2 + 5x + 5 between the vertical lines x = -2.5 and x = -2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.1
|
math
|
train
| 62 |
math_algebra_func_area_level_1_1_63
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (3(-1x - 5) + 2)/(-2(-1x - 5) - 1) and g(x) = 3|x - 3| - 3 from x = 2.5 to x = 3.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.8
|
math
|
train
| 63 |
math_algebra_func_area_level_1_1_64
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (2(2cos(2πx - 1) - 2) - 1)/(3(2cos(2πx - 1) - 2) + 1) and g(x) = -4x + 1 from x = -3.9 to x = -3.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.8
|
math
|
train
| 64 |
math_algebra_func_area_level_1_1_65
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1|((-3x + 2)/(3x - 1))| - 1 and g(x) = -3|x - 2| + 2 from x = 1.2 to x = 2.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.6
|
math
|
train
| 65 |
math_algebra_func_area_level_1_1_66
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2sin(1π((3x + 1)/(2x + 3)) - 3) - 2, g(x) = (-1x)/(1x - 3), x = -1.3, and x = -1.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 66 |
math_algebra_func_area_level_1_1_67
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-1(-4x^2 + 3x + 3) - 1)/(3(-4x^2 + 3x + 3) - 2), g(x) = 3|x + 1| + 1, x = -0.5, and x = 1.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13.5
|
math
|
train
| 67 |
math_algebra_func_area_level_1_1_68
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1sin(3π(2x^2 - 5x) - 1) and g(x) = 4x^2 - 4x - 4 from x = -0.6 to x = -0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 68 |
math_algebra_func_area_level_1_1_69
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-1(1|x - 2| - 1) + 3)/(3(1|x - 2| - 1) + 2), g(x) = -1|x| - 3, x = 1.9, and x = 2.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 69 |
math_algebra_func_area_level_1_1_70
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2(2x + 2) and g(x) = (-1x + 3)/(2x - 1) from x = -0.6 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 70 |
math_algebra_func_area_level_1_1_71
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1cos(1π(-1x^2 + 1)) - 3 and g(x) = 1x - 4 between the vertical lines x = 2.0 and x = 2.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 71 |
math_algebra_func_area_level_1_1_72
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1|(1cos(2πx + 1) + 3) - 1| and g(x) = 2x^2 - 5x between the vertical lines x = -0.4 and x = 3.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11.2
|
math
|
train
| 72 |
math_algebra_func_area_level_1_1_73
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (2(3cos(3πx + 3) + 2) - 3)/(1(3cos(3πx + 3) + 2)), g(x) = (2x + 3)/(3x + 1), x = 2.2, and x = 2.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 73 |
math_algebra_func_area_level_1_1_74
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2(-1sin(2πx - 2)) + 1 and g(x) = -5x^2 - 3x + 3 between the vertical lines x = -1.1 and x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.9
|
math
|
train
| 74 |
math_algebra_func_area_level_1_1_75
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3(3x^2 + 1x) + 2 and g(x) = 3x between the vertical lines x = -0.9 and x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.3
|
math
|
train
| 75 |
math_algebra_func_area_level_1_1_76
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1(-2x^2 - 1x + 3) - 2 and g(x) = -1x^2 - 2x + 2 from x = -2.1 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16.6
|
math
|
train
| 76 |
math_algebra_func_area_level_1_1_77
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1cos(3π(-1x^2 - 4x)) - 2 and g(x) = (3x + 1)/(-1x + 2) from x = -3.2 to x = -3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 77 |
math_algebra_func_area_level_1_1_78
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-3(-1cos(3πx - 3) + 3) + 2)/(1(-1cos(3πx - 3) + 3) - 2), g(x) = -3x + 1, x = 2.5, and x = 2.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 78 |
math_algebra_func_area_level_1_1_79
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-1(-2|x - 2| + 3) - 3)/(-3(-2|x - 2| + 3) - 1), g(x) = 1x + 2, x = 0.5, and x = 3.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9.1
|
math
|
train
| 79 |
math_algebra_func_area_level_1_1_80
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1((-2x - 2)/(-2x)) - 5 and g(x) = 1x - 2 from x = -3.7 to x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.3
|
math
|
train
| 80 |
math_algebra_func_area_level_1_1_81
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (2(-2cos(2πx + 2) + 1) + 3)/(-1(-2cos(2πx + 2) + 1) + 2), g(x) = 5x^2 - 1x, x = -1.6, and x = -1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5.1
|
math
|
train
| 81 |
math_algebra_func_area_level_1_1_82
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1cos(2π(2x + 4) + 2) + 1 and g(x) = 3x^2 + 5x - 2 between the vertical lines x = -2.1 and x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.8
|
math
|
train
| 82 |
math_algebra_func_area_level_1_1_83
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 4(-3cos(3πx - 2) + 2) + 2 and g(x) = 3x + 2 from x = -1.1 to x = -0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7.1
|
math
|
train
| 83 |
math_algebra_func_area_level_1_1_84
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(-2e^(2x)) + 3)/(-1(-2e^(2x)) + 2) and g(x) = (1x + 3)/(-3x + 2) between the vertical lines x = -0.6 and x = 1.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22.5
|
math
|
train
| 84 |
math_algebra_func_area_level_1_1_85
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -5(-1sin(3πx - 3) + 1)^2 - 4(-1sin(3πx - 3) + 1) + 2, g(x) = -1x + 1, x = 0.6, and x = 1.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.7
|
math
|
train
| 85 |
math_algebra_func_area_level_1_1_86
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-2(-2|x| - 1) - 1)/(-2(-2|x| - 1) + 3) and g(x) = -3|x - 3| + 2 between the vertical lines x = 2.6 and x = 3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 86 |
math_algebra_func_area_level_1_1_87
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3sin(2π(-4x^2 - 4x + 4) + 1) + 2 and g(x) = -2x - 5 from x = -3.1 to x = -3.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 87 |
math_algebra_func_area_level_1_1_88
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3e^(-1(3|x - 3| + 3)) + 1, g(x) = -2x^2 + 4x, x = 0.3, and x = 1.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.9
|
math
|
train
| 88 |
math_algebra_func_area_level_1_1_89
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2((3x + 1)/(-1x + 3)) - 1 and g(x) = 3|x| - 3 from x = -1.0 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.9
|
math
|
train
| 89 |
math_algebra_func_area_level_1_1_90
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1cos(3π(-1x - 2) - 3), g(x) = -4x + 3, x = 0.6, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 90 |
math_algebra_func_area_level_1_1_91
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3sin(2π(2|x + 3| + 2) - 2) + 2 and g(x) = 1x - 2 from x = 3.4 to x = 3.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 91 |
math_algebra_func_area_level_1_1_92
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-3((-2x - 1)/(-1x)) + 1)/(3((-2x - 1)/(-1x)) - 2) and g(x) = (-3x - 1)/(1x + 1) from x = -0.7 to x = -0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.7
|
math
|
train
| 92 |
math_algebra_func_area_level_1_1_93
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2(-2sin(2πx + 1) + 3)^2 + 2(-2sin(2πx + 1) + 3) + 3 and g(x) = -1x^2 + 2x + 5 from x = 3.9 to x = 4.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.9
|
math
|
train
| 93 |
math_algebra_func_area_level_1_1_94
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3(2|x - 3| - 1)^2 - 3(2|x - 3| - 1) + 3 and g(x) = -3x + 3 between the vertical lines x = 2.0 and x = 4.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17.0
|
math
|
train
| 94 |
math_algebra_func_area_level_1_1_95
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3sin(3π(-5x^2 + 1x - 3) - 2) - 3 and g(x) = -5x^2 - 2x + 3 from x = 0.9 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 95 |
math_algebra_func_area_level_1_1_96
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3|(2e^(1x) - 3) - 1| + 1 and g(x) = -5x^2 - 5x + 3 between the vertical lines x = 0.5 and x = 1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.2
|
math
|
train
| 96 |
math_algebra_func_area_level_1_1_97
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1(3e^(1x) + 3) - 4 and g(x) = 1x + 2 between the vertical lines x = -2.8 and x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.7
|
math
|
train
| 97 |
math_algebra_func_area_level_1_1_98
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3cos(1π(2|x - 3| + 2) - 3), g(x) = 1x + 3, x = -1.3, and x = -0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.2
|
math
|
train
| 98 |
math_algebra_func_area_level_1_1_99
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3((3x + 2)/(2x - 3))^2 - 5 and g(x) = (-1x + 3)/(-3x - 1) from x = -0.1 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 99 |
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 64