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_100
|
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 - 2) + 3| - 3 and g(x) = -2|x| + 2 between the vertical lines x = -0.4 and x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.9
|
math
|
train
| 100 |
math_algebra_func_area_level_1_1_101
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1sin(3π(1x^2 + 2x + 3)) - 3 and g(x) = -4x between the vertical lines x = 0.6 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 101 |
math_algebra_func_area_level_1_1_102
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3|((-3x - 1)/(2x + 3)) - 2| + 1, g(x) = (1x + 1)/(-2x + 3), x = -1.0, and x = 1.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
41.4
|
math
|
train
| 102 |
math_algebra_func_area_level_1_1_103
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1(-2cos(3πx + 2)) + 1)/(-2(-2cos(3πx + 2))) and g(x) = -3x^2 - 1x - 5 from x = 0.6 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.7
|
math
|
train
| 103 |
math_algebra_func_area_level_1_1_104
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1(2x)^2 + 5(2x) + 4 and g(x) = -1|x + 1| + 1 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"
}
] |
3.1
|
math
|
train
| 104 |
math_algebra_func_area_level_1_1_105
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2|(2x + 4) - 1| + 1 and g(x) = 1|x + 3| + 3 between the vertical lines x = -2.2 and x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.3
|
math
|
train
| 105 |
math_algebra_func_area_level_1_1_106
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2sin(3π(2|x - 2| - 1) + 1) - 3, g(x) = 1x - 4, 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"
}
] |
0.0
|
math
|
train
| 106 |
math_algebra_func_area_level_1_1_107
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1((1x + 2)/(1x + 1)) + 2)/(1((1x + 2)/(1x + 1)) - 2) and g(x) = 1x + 2 from x = -4.0 to x = -1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.0
|
math
|
train
| 107 |
math_algebra_func_area_level_1_1_108
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3cos(3π((-1x)/(-3x - 3)) - 2) - 1 and g(x) = 1x - 2 from x = -0.7 to x = -0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 108 |
math_algebra_func_area_level_1_1_109
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2cos(1π(5x - 3) + 1) - 2 and g(x) = (-1x + 1)/(2x - 1) between the vertical lines x = 0.2 and x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 109 |
math_algebra_func_area_level_1_1_110
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3(-3x)^2 + 3(-3x) + 1 and g(x) = 4x - 3 from x = -0.7 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.4
|
math
|
train
| 110 |
math_algebra_func_area_level_1_1_111
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-3(2x^2 + 2x - 3) + 1)/(-3(2x^2 + 2x - 3) + 4), g(x) = -1x - 5, x = -2.0, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15.2
|
math
|
train
| 111 |
math_algebra_func_area_level_1_1_112
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3(5x^2 - 4x + 1)^2 - 1(5x^2 - 4x + 1) and g(x) = 2x between the vertical lines x = 0.2 and x = 0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 112 |
math_algebra_func_area_level_1_1_113
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3(-2sin(2πx - 2) + 2)^2 + 5(-2sin(2πx - 2) + 2) - 1 and g(x) = 3|x + 1| - 3 from x = -1.7 to x = -1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.9
|
math
|
train
| 113 |
math_algebra_func_area_level_1_1_114
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2cos(3π((-3x)/(2x - 1)) + 3) - 2, g(x) = 5x - 4, x = 0.8, 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
| 114 |
math_algebra_func_area_level_1_1_115
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3(-3sin(1πx + 1) - 2)^2 + 5(-3sin(1πx + 1) - 2) + 2 and g(x) = -5x from x = -4.2 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14.6
|
math
|
train
| 115 |
math_algebra_func_area_level_1_1_116
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3cos(3π(-2x + 1) + 3) - 3 and g(x) = -1|x + 1| - 1 from x = -3.6 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 116 |
math_algebra_func_area_level_1_1_117
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3e^(2(-4x^2 + 3x + 4)) + 2 and g(x) = 1|x - 2| - 2 from x = -2.0 to x = -0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.7
|
math
|
train
| 117 |
math_algebra_func_area_level_1_1_118
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -4(2cos(1πx - 3) - 2) + 1, g(x) = -2|x + 1| + 2, x = -1.2, 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
| 118 |
math_algebra_func_area_level_1_1_119
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1((3x - 3)/(-1x + 3)) + 1)/(-3((3x - 3)/(-1x + 3)) - 1) and g(x) = 2|x - 1| - 1 from x = 0.4 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.9
|
math
|
train
| 119 |
math_algebra_func_area_level_1_1_120
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2cos(3π((-1x + 3)/(-3x + 1)) - 3) - 2, g(x) = -3|x - 3| + 3, x = 0.7, and x = 0.7999999999999999. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 120 |
math_algebra_func_area_level_1_1_121
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1sin(2π(-3x^2 + 2x + 2) - 3) + 1, g(x) = (3x - 2)/(1x), x = 1.5, 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
| 121 |
math_algebra_func_area_level_1_1_122
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5(3sin(3πx + 2) + 1)^2 - 2(3sin(3πx + 2) + 1) and g(x) = -3|x - 2| - 2 from x = -0.2 to x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14.7
|
math
|
train
| 122 |
math_algebra_func_area_level_1_1_123
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π((-3x - 3)/(3x + 3)) - 2) + 3 and g(x) = -1|x - 2| + 2 between the vertical lines x = 1.2 and x = 2.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.7
|
math
|
train
| 123 |
math_algebra_func_area_level_1_1_124
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3|(1|x| - 3) + 1| and g(x) = (-1x + 2)/(3x + 1) between the vertical lines x = -2.2 and x = -1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 124 |
math_algebra_func_area_level_1_1_125
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1(2cos(2πx + 1) + 1)^2 - 1(2cos(2πx + 1) + 1) - 3, g(x) = -1x - 5, x = -3.4, and x = -3.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.1
|
math
|
train
| 125 |
math_algebra_func_area_level_1_1_126
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3|(4x^2 - 2x - 3) + 2| + 2, g(x) = -1|x - 1| + 3, x = -0.3, and x = -0.19999999999999998. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 126 |
math_algebra_func_area_level_1_1_127
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(-3|x + 2| + 1) - 2)/(3(-3|x + 2| + 1) - 2) and g(x) = -4x^2 + 5 between the vertical lines x = -1.9 and x = -1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5.6
|
math
|
train
| 127 |
math_algebra_func_area_level_1_1_128
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1(-1cos(1πx - 2) + 2)^2 + 5(-1cos(1πx - 2) + 2) + 2, g(x) = -3x + 3, x = -3.8, and x = -3.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.7
|
math
|
train
| 128 |
math_algebra_func_area_level_1_1_129
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-2(2cos(3πx - 1) - 2) + 2)/(-3(2cos(3πx - 1) - 2) + 2) and g(x) = (3x + 3)/(1x - 3) between the vertical lines x = -2.6 and x = -2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 129 |
math_algebra_func_area_level_1_1_130
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1|(5x^2 + 4x - 4) + 1| + 2 and g(x) = (-2x - 1)/(-1x - 2) between the vertical lines x = -0.9 and x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.6
|
math
|
train
| 130 |
math_algebra_func_area_level_1_1_131
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2(1x^2 - 3x + 1) + 1 and g(x) = 1|x| - 3 between the vertical lines x = 1.5 and x = 2.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 131 |
math_algebra_func_area_level_1_1_132
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2e^(1(-1|x - 1| + 1)) + 2, g(x) = 4x^2 + 1x - 3, x = -1.2, and x = 0.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.9
|
math
|
train
| 132 |
math_algebra_func_area_level_1_1_133
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3(1sin(3πx + 3)) - 5 and g(x) = -3|x| - 3 between the vertical lines x = -0.4 and x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.3
|
math
|
train
| 133 |
math_algebra_func_area_level_1_1_134
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 5(2cos(3πx - 1) - 3) + 3, g(x) = (-2x - 1)/(1x - 2), x = 4.7, and x = 4.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 134 |
math_algebra_func_area_level_1_1_135
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (3(3x^2 - 5x + 1) + 1)/(2(3x^2 - 5x + 1) + 1), g(x) = 1|x + 3|, x = 0.4, and x = 1.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.4
|
math
|
train
| 135 |
math_algebra_func_area_level_1_1_136
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1sin(2π((3x - 1)/(3x + 1)) - 1) and g(x) = (1x + 1)/(-2x - 2) from x = -0.4 to x = -0.30000000000000004. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 136 |
math_algebra_func_area_level_1_1_137
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-3(1|x - 3| - 2) - 1)/(2(1|x - 3| - 2) + 1) and g(x) = -2|x - 3| + 3 between the vertical lines x = 4.8 and x = 5.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 137 |
math_algebra_func_area_level_1_1_138
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2sin(2π(5x^2 - 2x - 1) + 1) - 3, g(x) = (-1x + 2)/(-2x + 1), x = 0.8, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 138 |
math_algebra_func_area_level_1_1_139
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3|(-1x + 1) + 1| - 1 and g(x) = 4x^2 - 1x + 2 from x = -1.2 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.9
|
math
|
train
| 139 |
math_algebra_func_area_level_1_1_140
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3sin(3π(-1x) - 2) - 3 and g(x) = (2x + 2)/(-2x - 2) from x = 2.4 to x = 2.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.5
|
math
|
train
| 140 |
math_algebra_func_area_level_1_1_141
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2sin(3π((-1x)/(2x - 3)) - 1) + 1 and g(x) = 1x^2 - 4x + 3 from x = 1.2 to x = 1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 141 |
math_algebra_func_area_level_1_1_142
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1|(-2sin(3πx - 2) + 3) - 3| + 1, g(x) = 1x - 1, x = 0.3, and x = 0.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 142 |
math_algebra_func_area_level_1_1_143
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2|(-1sin(3πx - 1)) + 3| - 3, g(x) = (-3x + 3)/(-2x + 3), x = 3.5, and x = 3.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 143 |
math_algebra_func_area_level_1_1_144
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1(1|x - 2| - 3)^2 - 3(1|x - 2| - 3) - 4 and g(x) = 2|x + 1| + 3 between the vertical lines x = 1.2 and x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.1
|
math
|
train
| 144 |
math_algebra_func_area_level_1_1_145
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -4(-3cos(2πx) - 3) - 1 and g(x) = -5x + 5 between the vertical lines x = -1.8 and x = -1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.7
|
math
|
train
| 145 |
math_algebra_func_area_level_1_1_146
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -4((-3x + 3)/(2x - 1))^2 + 2((-3x + 3)/(2x - 1)) + 5 and g(x) = -3|x| between the vertical lines x = -3.3 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30.0
|
math
|
train
| 146 |
math_algebra_func_area_level_1_1_147
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -4(1|x - 1| - 1)^2 - 5(1|x - 1| - 1) - 3 and g(x) = -3x + 1 from x = 1.0 to x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.2
|
math
|
train
| 147 |
math_algebra_func_area_level_1_1_148
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1sin(3π(3|x| - 2) - 1) - 3 and g(x) = -5x^2 + 5x + 5 from x = -0.8 to x = 1.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16.8
|
math
|
train
| 148 |
math_algebra_func_area_level_1_1_149
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (1(2x - 5) + 2)/(-3(2x - 5) + 1) and g(x) = 4x + 2 between the vertical lines x = -0.6 and x = 2.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18.8
|
math
|
train
| 149 |
math_algebra_func_area_level_1_1_150
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1e^(2(-3|x| + 2)) - 1, g(x) = (-1x - 1)/(1x), x = -0.6, and x = -0.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23.5
|
math
|
train
| 150 |
math_algebra_func_area_level_1_1_151
|
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) + 3) - 2| + 2 and g(x) = -2x^2 - 2x + 4 between the vertical lines x = -1.6 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.7
|
math
|
train
| 151 |
math_algebra_func_area_level_1_1_152
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-1(3sin(1πx - 1) + 2) - 2)/(3(3sin(1πx - 1) + 2) - 2) and g(x) = -2x^2 + 3x - 5 from x = 0.2 to x = 1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.0
|
math
|
train
| 152 |
math_algebra_func_area_level_1_1_153
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2sin(2π(2|x - 1| - 3) - 1) + 1 and g(x) = -3x - 3 from x = -1.1 to x = -0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.7
|
math
|
train
| 153 |
math_algebra_func_area_level_1_1_154
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1cos(2π((-2x + 2)/(-1x - 1)) - 2) + 3, g(x) = 1|x - 3| + 3, x = 2.2, and x = 3.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 154 |
math_algebra_func_area_level_1_1_155
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1(2x - 5)^2 + 5(2x - 5) - 2 and g(x) = 1|x + 3| - 3 between the vertical lines x = 3.2 and x = 4.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 155 |
math_algebra_func_area_level_1_1_156
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2e^(-1(-2x + 5)) + 3 and g(x) = 3|x + 3| - 2 between the vertical lines x = -1.3 and x = 3.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27.7
|
math
|
train
| 156 |
math_algebra_func_area_level_1_1_157
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -4(3x^2 + 3x - 3) - 5 and g(x) = 1|x - 1| from x = -1.3 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9.6
|
math
|
train
| 157 |
math_algebra_func_area_level_1_1_158
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1cos(2π(-2x^2 + 4x + 2) - 2) + 2, g(x) = -4x - 1, x = -0.7, 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
| 158 |
math_algebra_func_area_level_1_1_159
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 4(1cos(3πx + 2) - 1) - 3 and g(x) = 1x - 3 from x = -4.7 to x = -4.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.7
|
math
|
train
| 159 |
math_algebra_func_area_level_1_1_160
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2|(4x - 1)| + 1 and g(x) = 1|x - 1| - 3 between the vertical lines x = -0.1 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.3
|
math
|
train
| 160 |
math_algebra_func_area_level_1_1_161
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1(-5x^2 - 5x + 5) + 3 and g(x) = (3x + 2)/(-1x + 2) from x = -1.2 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.3
|
math
|
train
| 161 |
math_algebra_func_area_level_1_1_162
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (2(1sin(3πx + 3) - 3) - 2)/(1(1sin(3πx + 3) - 3) + 2), g(x) = 2x^2 + 5x + 2, x = 3.2, and x = 3.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22.5
|
math
|
train
| 162 |
math_algebra_func_area_level_1_1_163
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(-3e^(-1x) - 3) + 1)/(1(-3e^(-1x) - 3) - 2), g(x) = 2|x - 1| - 3, x = 0.3, and x = 1.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.1
|
math
|
train
| 163 |
math_algebra_func_area_level_1_1_164
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -5(2sin(1πx + 1) + 1) + 5, g(x) = 3x + 1, x = -0.3, and x = 0.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.1
|
math
|
train
| 164 |
math_algebra_func_area_level_1_1_165
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 4(-2x^2 - 4x - 1) + 3 and g(x) = (-1x - 2)/(-3x + 2) between the vertical lines x = -1.9 and x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9.3
|
math
|
train
| 165 |
math_algebra_func_area_level_1_1_166
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2(-2cos(2πx + 1) + 1) - 1, g(x) = 4x^2 + 1, x = 0.1, and x = 0.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.0
|
math
|
train
| 166 |
math_algebra_func_area_level_1_1_167
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1e^(1(-1|x + 3| - 2)) + 3, g(x) = 3|x - 1| + 1, 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"
}
] |
1.3
|
math
|
train
| 167 |
math_algebra_func_area_level_1_1_168
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3(-2sin(1πx + 3) + 1)^2 + 3(-2sin(1πx + 3) + 1) - 2, g(x) = 5x - 5, x = 3.0, and x = 4.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15.4
|
math
|
train
| 168 |
math_algebra_func_area_level_1_1_169
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1sin(3π(-1|x - 3|)), g(x) = (1x - 3)/(2x + 2), x = 0.6, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 169 |
math_algebra_func_area_level_1_1_170
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5(4x - 3) + 3 and g(x) = (-2x + 1)/(-1x) from x = -0.1 to x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44.8
|
math
|
train
| 170 |
math_algebra_func_area_level_1_1_171
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(-3x - 5)) + 3 and g(x) = 1|x + 1| - 1 between the vertical lines x = 2.9 and x = 3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 171 |
math_algebra_func_area_level_1_1_172
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -4(-5x + 1)^2 + 5 and g(x) = 1|x - 1| + 2 from x = 0.1 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 172 |
math_algebra_func_area_level_1_1_173
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1((2x + 1)/(2x - 3))^2 + 4((2x + 1)/(2x - 3)) - 1 and g(x) = (2x - 2)/(3x - 2) from x = 0.7 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.4
|
math
|
train
| 173 |
math_algebra_func_area_level_1_1_174
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (2(2x) + 1)/(1(2x)), g(x) = -2|x + 2| + 3, x = -2.6, and x = -1.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.8
|
math
|
train
| 174 |
math_algebra_func_area_level_1_1_175
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -4(1x^2 + 3x - 2)^2 + 2(1x^2 + 3x - 2) - 1 and g(x) = 1x - 1 from x = -3.8 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.2
|
math
|
train
| 175 |
math_algebra_func_area_level_1_1_176
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1sin(1π(-1|x + 1|) + 2) and g(x) = -1|x + 3| + 3 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"
}
] |
0.6
|
math
|
train
| 176 |
math_algebra_func_area_level_1_1_177
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1(-2sin(2πx + 1)) - 2, g(x) = 5x + 1, x = -0.7, and x = -0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 177 |
math_algebra_func_area_level_1_1_178
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (3(-1|x - 1| + 3) + 1)/(3(-1|x - 1| + 3) + 2) and g(x) = -1|x - 2| + 2 from x = 3.2 to x = 4.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 178 |
math_algebra_func_area_level_1_1_179
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3|(-2x) + 2| - 3, g(x) = -2|x + 3| - 1, x = 0.2, and x = 2.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.8
|
math
|
train
| 179 |
math_algebra_func_area_level_1_1_180
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3(-2x - 4)^2 - 5(-2x - 4) + 2 and g(x) = 1x - 1 from x = -2.4 to x = -0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.7
|
math
|
train
| 180 |
math_algebra_func_area_level_1_1_181
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2(3cos(1πx - 3) + 3)^2 + 1(3cos(1πx - 3) + 3) + 2 and g(x) = (2x - 3)/(-2x) between the vertical lines x = -3.7 and x = -2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43.1
|
math
|
train
| 181 |
math_algebra_func_area_level_1_1_182
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 5(2cos(2πx - 1) - 2) - 5, g(x) = -1x^2 + 2x + 5, x = -3.6, and x = -3.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.4
|
math
|
train
| 182 |
math_algebra_func_area_level_1_1_183
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2cos(2π((-3x - 3)/(1x + 3)) + 2) + 1 and g(x) = -1x - 2 from x = -3.5 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 183 |
math_algebra_func_area_level_1_1_184
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-1(3e^(-2x) - 3) + 2)/(-2(3e^(-2x) - 3) + 3) and g(x) = -3x + 2 from x = -0.2 to x = 0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.6
|
math
|
train
| 184 |
math_algebra_func_area_level_1_1_185
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3(-1x^2 + 4x + 3) - 4 and g(x) = (1x + 3)/(-1x + 2) from x = 2.2 to x = 4.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27.3
|
math
|
train
| 185 |
math_algebra_func_area_level_1_1_186
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3sin(1π(-5x^2 - 3x - 3) - 2) - 3 and g(x) = -2x^2 - 4x - 5 between the vertical lines x = 0.2 and x = 0.30000000000000004. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 186 |
math_algebra_func_area_level_1_1_187
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(3sin(1πx) + 3) - 3)/(-1(3sin(1πx) + 3) + 2) and g(x) = -1x + 4 between the vertical lines x = -0.9 and x = -0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.8
|
math
|
train
| 187 |
math_algebra_func_area_level_1_1_188
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3(5x^2 + 1x - 4)^2 - 3(5x^2 + 1x - 4) + 3 and g(x) = (1x - 1)/(2x - 1) from x = -0.8 to x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36.9
|
math
|
train
| 188 |
math_algebra_func_area_level_1_1_189
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5(-1cos(2πx))^2 - 5(-1cos(2πx)) - 1 and g(x) = 1|x + 2| - 1 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
| 189 |
math_algebra_func_area_level_1_1_190
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3(-3sin(3πx + 3) - 1)^2 + 3(-3sin(3πx + 3) - 1) + 3, g(x) = -4x^2 - 5x + 2, x = -0.7, 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
| 190 |
math_algebra_func_area_level_1_1_191
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2|(3e^(1x) - 2) - 1| + 2, g(x) = (-3x + 2)/(3x + 1), x = 0.0, and x = 0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 191 |
math_algebra_func_area_level_1_1_192
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -4(3cos(2πx) + 3) - 2, g(x) = 5x + 5, x = -3.3, and x = -2.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.1
|
math
|
train
| 192 |
math_algebra_func_area_level_1_1_193
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3|(3x^2 + 1x - 1)| + 1 and g(x) = -3x^2 - 3x + 2 from x = 0.4 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 193 |
math_algebra_func_area_level_1_1_194
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-2((1x + 1)/(2x + 1)) - 2)/(-3((1x + 1)/(2x + 1)) - 1) and g(x) = (-1x + 2)/(1x - 3) between the vertical lines x = -0.7 and x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.5
|
math
|
train
| 194 |
math_algebra_func_area_level_1_1_195
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(-1x + 2) - 2) + 2 and g(x) = -2x + 3 between the vertical lines x = 0.4 and x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 195 |
math_algebra_func_area_level_1_1_196
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1(5x - 5) + 4 and g(x) = (-1x - 2)/(-3x - 1) between the vertical lines x = -0.5 and x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10.9
|
math
|
train
| 196 |
math_algebra_func_area_level_1_1_197
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2|(-2|x| + 1) + 3| - 1, g(x) = 3|x - 1| + 1, x = -0.4, and x = 1.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.4
|
math
|
train
| 197 |
math_algebra_func_area_level_1_1_198
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1|(-1sin(1πx + 2)) - 2| + 1 and g(x) = 1x^2 - 2x + 4 from x = 1.4 to x = 2.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 198 |
math_algebra_func_area_level_1_1_199
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2(2x^2 + 3x - 3)^2 + 5(2x^2 + 3x - 3) - 3 and g(x) = (3x - 2)/(-1x + 2) from x = -2.5 to x = -2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 199 |
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