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_200
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3sin(1π(-2x^2 - 5x + 1) - 1), g(x) = 5x^2 - 2x - 2, x = -0.3, and x = -0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 200 |
math_algebra_func_area_level_1_1_201
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1(1x^2 - 2x + 1)^2 - 5(1x^2 - 2x + 1) + 4 and g(x) = (2x - 1)/(-2x + 1) from x = -0.9 to x = -0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.6
|
math
|
train
| 201 |
math_algebra_func_area_level_1_1_202
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3(-2x + 3) + 1, g(x) = 3x^2 + 1x + 3, x = -3.1, and x = 0.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28.4
|
math
|
train
| 202 |
math_algebra_func_area_level_1_1_203
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-1(1x^2 - 1x - 1))/(-1(1x^2 - 1x - 1) + 2), g(x) = 3x^2 - 3x + 2, x = -1.4, and x = 2.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25.1
|
math
|
train
| 203 |
math_algebra_func_area_level_1_1_204
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1sin(2π(1x + 1) - 3) - 2, g(x) = 1|x - 2| - 2, x = 1.4, and x = 2.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 204 |
math_algebra_func_area_level_1_1_205
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -4(5x^2 - 3x - 4)^2 - 4(5x^2 - 3x - 4) + 2 and g(x) = (-3x + 1)/(2x) from x = -0.4 to x = -0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17.2
|
math
|
train
| 205 |
math_algebra_func_area_level_1_1_206
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 4(3|x + 2| - 1)^2 + 5(3|x + 2| - 1) - 3 and g(x) = -3x - 3 from x = -2.6 to x = -1.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.5
|
math
|
train
| 206 |
math_algebra_func_area_level_1_1_207
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3((2x + 3)/(1x + 2))^2 - 4((2x + 3)/(1x + 2)) - 3 and g(x) = -5x^2 + 4x - 1 from x = -2.8 to x = -1.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10.3
|
math
|
train
| 207 |
math_algebra_func_area_level_1_1_208
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3sin(2π(1|x| + 1) - 1) + 1 and g(x) = -2|x - 1| + 1 between the vertical lines x = 1.1 and x = 1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.4
|
math
|
train
| 208 |
math_algebra_func_area_level_1_1_209
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2cos(1π(-2x + 4) - 1) - 1 and g(x) = -5x^2 + 5x - 2 from x = 0.1 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.7
|
math
|
train
| 209 |
math_algebra_func_area_level_1_1_210
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2sin(1π((-1x + 3)/(-1x + 2)) + 2) - 2 and g(x) = -2|x - 2| from x = 2.1 to x = 2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 210 |
math_algebra_func_area_level_1_1_211
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1((2x - 3)/(3x + 1)) + 4 and g(x) = (1x + 1)/(-3x - 2) from x = -0.8 to x = -0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5.0
|
math
|
train
| 211 |
math_algebra_func_area_level_1_1_212
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 5(3sin(1πx - 1)) + 3 and g(x) = (1x + 1)/(-1x + 2) from x = -3.8 to x = -2.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13.3
|
math
|
train
| 212 |
math_algebra_func_area_level_1_1_213
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2|((-1x)/(-3x)) + 1|, g(x) = -2x^2 + 3x - 1, x = -0.4, and x = 1.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.4
|
math
|
train
| 213 |
math_algebra_func_area_level_1_1_214
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2(-2x - 4) + 3 and g(x) = (3x)/(1x - 2) from x = -1.6 to x = 1.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12.4
|
math
|
train
| 214 |
math_algebra_func_area_level_1_1_215
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3|(-3sin(3πx + 3) + 1) + 3| - 1 and g(x) = -5x^2 - 4x + 3 between the vertical lines x = -0.2 and x = -0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 215 |
math_algebra_func_area_level_1_1_216
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3(5x^2 - 4x - 1) - 3, g(x) = -4x - 5, x = -0.2, and x = 1.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9.7
|
math
|
train
| 216 |
math_algebra_func_area_level_1_1_217
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2|((-3x - 2)/(-3x)) + 3| - 3, g(x) = -5x^2 - 4x + 1, x = -0.4, and x = -0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.6
|
math
|
train
| 217 |
math_algebra_func_area_level_1_1_218
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1(-1cos(2πx + 3) - 1) + 1)/(-2(-1cos(2πx + 3) - 1) + 1) and g(x) = 1x^2 - 4x from x = -0.1 to x = 4.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11.5
|
math
|
train
| 218 |
math_algebra_func_area_level_1_1_219
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (2(-1e^(1x) + 2) - 3)/(-3(-1e^(1x) + 2) - 2), g(x) = (1x + 3)/(2x + 3), x = -2.7, and x = 0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14.9
|
math
|
train
| 219 |
math_algebra_func_area_level_1_1_220
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3((3x - 1)/(-3x - 1))^2 - 5((3x - 1)/(-3x - 1)) - 5 and g(x) = -4x^2 - 1x - 5 from x = -0.1 to x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.5
|
math
|
train
| 220 |
math_algebra_func_area_level_1_1_221
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1(3e^(1x) - 2)^2 + 5(3e^(1x) - 2) - 3, g(x) = -5x - 4, x = -0.3, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.0
|
math
|
train
| 221 |
math_algebra_func_area_level_1_1_222
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(-2|x + 3| - 2) + 3)/(2(-2|x + 3| - 2) + 3) and g(x) = 1|x + 2| between the vertical lines x = -3.0 and x = -1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.0
|
math
|
train
| 222 |
math_algebra_func_area_level_1_1_223
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1(-3|x - 1|)^2 + 4(-3|x - 1|) + 2 and g(x) = -3x^2 + 3x - 1 between the vertical lines x = 0.8 and x = 1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.7
|
math
|
train
| 223 |
math_algebra_func_area_level_1_1_224
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2e^(-2(-2x + 2)) + 2 and g(x) = 1|x + 3| - 1 from x = 0.0 to x = 0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 224 |
math_algebra_func_area_level_1_1_225
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (1(4x) + 3)/(-1(4x) - 1) and g(x) = (-3x + 2)/(1x + 2) between the vertical lines x = -0.4 and x = 2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26.6
|
math
|
train
| 225 |
math_algebra_func_area_level_1_1_226
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1((-3x - 2)/(1x - 3)) - 1, g(x) = 1|x + 1| - 1, x = -1.6, 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
| 226 |
math_algebra_func_area_level_1_1_227
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1(-4x^2 + 3x + 5) + 4 and g(x) = -1|x + 1| - 1 from x = -1.3 to x = 2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27.8
|
math
|
train
| 227 |
math_algebra_func_area_level_1_1_228
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2sin(3π(-1x - 1)) - 1, g(x) = 5x, x = -0.4, and x = -0.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 228 |
math_algebra_func_area_level_1_1_229
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1cos(2π(2|x + 1| - 3) - 2), g(x) = 2x - 2, x = 1.3, and x = 1.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 229 |
math_algebra_func_area_level_1_1_230
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2(-3x^2 + 3x + 1) + 4 and g(x) = (1x - 3)/(-3x - 3) 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"
}
] |
3.1
|
math
|
train
| 230 |
math_algebra_func_area_level_1_1_231
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1(2sin(2πx - 3) + 1) - 1)/(-1(2sin(2πx - 3) + 1) + 2) and g(x) = 1x^2 - 5x + 5 from x = -3.4 to x = -3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13.0
|
math
|
train
| 231 |
math_algebra_func_area_level_1_1_232
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2(-3cos(3πx + 2) - 1) - 4, g(x) = 2|x + 2| - 2, x = -2.6, 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
| 232 |
math_algebra_func_area_level_1_1_233
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3e^(2(2x^2 + 1x - 4)) + 2, g(x) = 2x^2 + 3x + 2, x = 0.0, and x = 1.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.2
|
math
|
train
| 233 |
math_algebra_func_area_level_1_1_234
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2sin(1π(2|x + 2|)) + 1, g(x) = -2|x - 2| + 2, x = 0.9, and x = 1.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.9
|
math
|
train
| 234 |
math_algebra_func_area_level_1_1_235
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2sin(2π((1x + 3)/(3x + 2)) - 1) - 3 and g(x) = (-1x + 3)/(3x - 2) 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"
}
] |
0.2
|
math
|
train
| 235 |
math_algebra_func_area_level_1_1_236
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3cos(2π(-3|x + 1| - 2) - 2) + 2, g(x) = (1x - 2)/(-1x + 2), x = -4.4, and x = -4.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.0
|
math
|
train
| 236 |
math_algebra_func_area_level_1_1_237
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2((2x + 3)/(3x + 3)) - 3 and g(x) = (-2x + 2)/(-1x + 2) from x = -0.8 to x = 1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.3
|
math
|
train
| 237 |
math_algebra_func_area_level_1_1_238
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3sin(3π((1x - 3)/(1x)) + 1) - 2, g(x) = 5x^2 + 5x - 2, x = -0.2, and x = -0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 238 |
math_algebra_func_area_level_1_1_239
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(-1cos(3πx + 3) + 3) - 3)/(2(-1cos(3πx + 3) + 3) - 3), g(x) = -3x^2 - 5x + 2, x = 1.0, and x = 1.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 239 |
math_algebra_func_area_level_1_1_240
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(1sin(3πx - 1)) + 2)/(2(1sin(3πx - 1)) - 1), g(x) = (3x - 3)/(-1x - 2), x = -3.8, and x = -3.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4.3
|
math
|
train
| 240 |
math_algebra_func_area_level_1_1_241
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -4(1x - 2)^2 + 2(1x - 2) + 4, g(x) = (-3x)/(-2x - 2), x = 1.3, and x = 3.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.9
|
math
|
train
| 241 |
math_algebra_func_area_level_1_1_242
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3sin(2π(-1x - 3)) and g(x) = -1x^2 - 1x + 4 between the vertical lines x = -1.8 and x = -1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 242 |
math_algebra_func_area_level_1_1_243
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2cos(3π(-5x + 2) - 3), g(x) = 2x^2 - 4x + 2, x = 1.0, and x = 1.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 243 |
math_algebra_func_area_level_1_1_244
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2e^(1(1x - 2)) - 2, g(x) = -3|x| + 2, x = 2.0, and x = 2.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 244 |
math_algebra_func_area_level_1_1_245
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1e^(1(1x - 1)) - 1 and g(x) = (-3x - 1)/(-1x) between the vertical lines x = -0.3 and x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28.9
|
math
|
train
| 245 |
math_algebra_func_area_level_1_1_246
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2sin(1π(-1x - 4)) - 2 and g(x) = 3x^2 + 5x - 5 from x = -2.3 to x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.6
|
math
|
train
| 246 |
math_algebra_func_area_level_1_1_247
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2|((2x)/(-1x + 2)) - 3| - 1 and g(x) = -1x - 2 from x = 1.0 to x = 1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 247 |
math_algebra_func_area_level_1_1_248
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2sin(2π((-3x - 3)/(-1x + 2)) - 1) - 1 and g(x) = (-2x + 1)/(2x - 3) from x = 2.3 to x = 2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 248 |
math_algebra_func_area_level_1_1_249
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1sin(1π(-1|x + 3|)) - 1 and g(x) = (-1x - 3)/(1x + 2) between the vertical lines x = -4.2 and x = -0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21.3
|
math
|
train
| 249 |
math_algebra_func_area_level_1_1_250
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2cos(3π((-3x - 3)/(1x + 3))) - 2, g(x) = -1x^2 + 5x, x = -0.1, and x = 0.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 250 |
math_algebra_func_area_level_1_1_251
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1(1x^2 - 5), g(x) = -1x + 2, x = -1.3, and x = 2.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7.8
|
math
|
train
| 251 |
math_algebra_func_area_level_1_1_252
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2|(3|x| - 1) - 3| + 2 and g(x) = 2|x| - 2 between the vertical lines x = 1.0 and x = 1.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 252 |
math_algebra_func_area_level_1_1_253
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1sin(2π(-1|x| + 3) - 3) + 1 and g(x) = -4x^2 - 5x + 1 from x = -0.1 to x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 253 |
math_algebra_func_area_level_1_1_254
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1((3x + 3)/(-1x + 3)) - 1)/(2((3x + 3)/(-1x + 3)) - 1) and g(x) = -5x - 3 from x = -0.8 to x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.5
|
math
|
train
| 254 |
math_algebra_func_area_level_1_1_255
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1|(5x^2 + 5x - 1)| + 2 and g(x) = -3|x + 3| + 3 from x = -1.6 to x = 1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12.6
|
math
|
train
| 255 |
math_algebra_func_area_level_1_1_256
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1|(1e^(1x) + 1) - 2| + 2 and g(x) = -4x^2 + 3 from x = -0.4 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
| 256 |
math_algebra_func_area_level_1_1_257
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2e^(-1(-2|x + 1|)) - 1, g(x) = (-3x - 1)/(-1x), x = -0.8, and x = 0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47.1
|
math
|
train
| 257 |
math_algebra_func_area_level_1_1_258
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -4(5x) + 3 and g(x) = (3x - 2)/(-3x - 2) from x = -0.6 to x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.1
|
math
|
train
| 258 |
math_algebra_func_area_level_1_1_259
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-3(-3cos(1πx + 3) - 2))/(-1(-3cos(1πx + 3) - 2) - 1), g(x) = -3x + 2, x = 1.7, and x = 2.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.2
|
math
|
train
| 259 |
math_algebra_func_area_level_1_1_260
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(2|x - 3| - 3) - 2)/(3(2|x - 3| - 3) + 2), g(x) = -2x - 1, x = -0.1, and x = 1.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.4
|
math
|
train
| 260 |
math_algebra_func_area_level_1_1_261
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3e^(-2(2x^2 - 4x - 1)) - 1 and g(x) = -4x - 4 between the vertical lines x = -0.8 and x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.3
|
math
|
train
| 261 |
math_algebra_func_area_level_1_1_262
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1(-3sin(1πx - 2) + 3)^2 + 4(-3sin(1πx - 2) + 3) and g(x) = -3x^2 + 3x + 4 between the vertical lines x = -1.7 and x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5.1
|
math
|
train
| 262 |
math_algebra_func_area_level_1_1_263
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2sin(1π(3x - 2) - 1) - 2 and g(x) = -4x^2 - 2x + 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
| 263 |
math_algebra_func_area_level_1_1_264
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2cos(1π(-3x) + 1) - 2 and g(x) = -3|x - 3| - 1 from x = 2.3 to x = 2.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 264 |
math_algebra_func_area_level_1_1_265
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1e^(-2(2x^2 - 1)) - 3 and g(x) = 2x^2 - 4x + 1 from x = -0.3 to x = 0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.8
|
math
|
train
| 265 |
math_algebra_func_area_level_1_1_266
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 5(-3|x - 2|)^2 - 4(-3|x - 2|) + 1, g(x) = 1|x - 2| + 2, 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
| 266 |
math_algebra_func_area_level_1_1_267
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2(-2x + 1)^2 - 1(-2x + 1) + 4 and g(x) = 3|x - 3| + 3 from x = -0.8 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9.3
|
math
|
train
| 267 |
math_algebra_func_area_level_1_1_268
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2|(2x^2 + 3x - 1) - 3|, g(x) = -4x^2 - 1x + 2, 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"
}
] |
0.4
|
math
|
train
| 268 |
math_algebra_func_area_level_1_1_269
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π(-5x - 4)) + 1 and g(x) = -3x - 1 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"
}
] |
0.5
|
math
|
train
| 269 |
math_algebra_func_area_level_1_1_270
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 5(3sin(2πx - 2) - 1)^2 + 2(3sin(2πx - 2) - 1) + 2, g(x) = 3x^2 + 3, x = 0.7, and x = 0.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 270 |
math_algebra_func_area_level_1_1_271
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2cos(1π((2x - 1)/(3x)) - 3) - 2 and g(x) = -3x^2 + 2x + 1 from x = -0.5 to x = 1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5.8
|
math
|
train
| 271 |
math_algebra_func_area_level_1_1_272
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 5(-4x + 4) + 2 and g(x) = (-1x + 1)/(-3x) from x = -0.0 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20.1
|
math
|
train
| 272 |
math_algebra_func_area_level_1_1_273
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(-2e^(1x) - 1))/(-1(-2e^(1x) - 1) - 3) and g(x) = -2x^2 - 2x + 5 between the vertical lines x = 0.4 and x = 0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 273 |
math_algebra_func_area_level_1_1_274
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1|(1cos(3πx - 1) - 2) + 1| - 1 and g(x) = -2|x| + 2 between the vertical lines x = -1.3 and x = -1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 274 |
math_algebra_func_area_level_1_1_275
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (3(-3cos(2πx + 1)) - 2)/(1(-3cos(2πx + 1)) + 2) and g(x) = (2x + 3)/(1x - 3) from x = 0.1 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.1
|
math
|
train
| 275 |
math_algebra_func_area_level_1_1_276
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1(-1e^(-1x) + 2)^2 + 3(-1e^(-1x) + 2) - 1 and g(x) = 5x^2 + 3x from x = -0.5 to x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.6
|
math
|
train
| 276 |
math_algebra_func_area_level_1_1_277
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (3(5x^2 + 3x + 4) + 3)/(-2(5x^2 + 3x + 4) + 1) and g(x) = 1x^2 - 3x - 2 between the vertical lines x = 0.0 and x = 3.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5.5
|
math
|
train
| 277 |
math_algebra_func_area_level_1_1_278
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2cos(1π(-1|x + 3| - 2) - 2) + 3, g(x) = (2x + 1)/(2x + 2), x = -4.5, and x = -4.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 278 |
math_algebra_func_area_level_1_1_279
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3sin(3π((1x + 2)/(3x + 1)) - 1) and g(x) = -2x + 4 from x = 0.6 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.0
|
math
|
train
| 279 |
math_algebra_func_area_level_1_1_280
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1cos(2π(-1|x| + 2) - 3) + 2 and g(x) = 3|x - 2| + 2 between the vertical lines x = 1.8 and x = 2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.2
|
math
|
train
| 280 |
math_algebra_func_area_level_1_1_281
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2(-4x^2 - 2x - 1)^2 - 3(-4x^2 - 2x - 1) + 2, g(x) = 5x^2 + 1x - 5, x = -0.9, and x = 0.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8.1
|
math
|
train
| 281 |
math_algebra_func_area_level_1_1_282
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (3(1x^2 + 1) - 3)/(3(1x^2 + 1) - 2) and g(x) = 1|x + 3| - 1 between the vertical lines x = -5.0 and x = -1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.8
|
math
|
train
| 282 |
math_algebra_func_area_level_1_1_283
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(-5x^2 - 5x + 5) - 2)/(2(-5x^2 - 5x + 5)) and g(x) = -5x + 1 between the vertical lines x = -1.6 and x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6.9
|
math
|
train
| 283 |
math_algebra_func_area_level_1_1_284
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-1(2x - 3) - 2)/(2(2x - 3) + 1) and g(x) = 3|x + 1| - 2 from x = -1.5 to x = -0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.9
|
math
|
train
| 284 |
math_algebra_func_area_level_1_1_285
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-2(-1sin(3πx)))/(3(-1sin(3πx)) - 2) and g(x) = -1x + 5 from x = -2.9 to x = -2.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.3
|
math
|
train
| 285 |
math_algebra_func_area_level_1_1_286
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1cos(1π(-5x - 1) + 1), g(x) = (-1x + 1)/(2x + 2), x = 3.4, and x = 3.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 286 |
math_algebra_func_area_level_1_1_287
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2cos(2π(1x^2 + 5x - 2) + 2) and g(x) = (-3x - 3)/(1x - 3) from x = -4.8 to x = -4.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.4
|
math
|
train
| 287 |
math_algebra_func_area_level_1_1_288
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5(1cos(3πx + 3) + 1) - 5 and g(x) = 3x + 4 from x = -3.9 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.3
|
math
|
train
| 288 |
math_algebra_func_area_level_1_1_289
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1|(1cos(3πx + 2) - 3) + 3| + 2, g(x) = (-1x + 2)/(2x + 3), 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"
}
] |
0.0
|
math
|
train
| 289 |
math_algebra_func_area_level_1_1_290
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-3(-1e^(-2x) + 2) + 1)/(1(-1e^(-2x) + 2)), g(x) = (1x - 2)/(-2x + 3), x = -0.2, and x = 1.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.2
|
math
|
train
| 290 |
math_algebra_func_area_level_1_1_291
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3((-1x + 1)/(-3x + 4))^2 - 5((-1x + 1)/(-3x + 4)) - 4, g(x) = (-2x + 3)/(-2x + 3), x = 1.2, and x = 1.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1.8
|
math
|
train
| 291 |
math_algebra_func_area_level_1_1_292
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (3(-1cos(3πx + 2)) + 2)/(1(-1cos(3πx + 2))) and g(x) = -2|x + 2| - 3 between the vertical lines x = 3.0 and x = 3.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7.0
|
math
|
train
| 292 |
math_algebra_func_area_level_1_1_293
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2((-3x - 2)/(-2x - 3)) - 4 and g(x) = (2x - 2)/(3x - 2) from x = -1.2 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15.3
|
math
|
train
| 293 |
math_algebra_func_area_level_1_1_294
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 4((2x)/(1x + 1)) + 5 and g(x) = (-2x + 2)/(-3x + 1) from x = -0.3 to x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1.4
|
math
|
train
| 294 |
math_algebra_func_area_level_1_1_295
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-1(2sin(1πx) - 1) + 1)/(-2(2sin(1πx) - 1) + 1) and g(x) = 4x^2 + 5x + 2 from x = -1.2 to x = -0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 295 |
math_algebra_func_area_level_1_1_296
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (1(-3x^2 - 2x - 3))/(-3(-3x^2 - 2x - 3) + 4), g(x) = 1|x + 2| - 2, x = -3.7, and x = -0.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2.9
|
math
|
train
| 296 |
math_algebra_func_area_level_1_1_297
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1(-3x^2 + 5x)^2 - 4(-3x^2 + 5x) - 2 and g(x) = 1x - 5 from x = -0.7 to x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.9
|
math
|
train
| 297 |
math_algebra_func_area_level_1_1_298
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2|(3sin(1πx - 2) + 3)|, g(x) = -5x + 2, x = -1.2, and x = -0.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3.8
|
math
|
train
| 298 |
math_algebra_func_area_level_1_1_299
|
algebra_func_area1
|
easy (level 1)
| 1 |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2|(-1sin(2πx + 3) - 2)| + 3, g(x) = 2|x - 2| - 2, x = 3.1, and x = 3.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0.1
|
math
|
train
| 299 |
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