id
string | setting_key
string | difficulty
string | level
int32 | messages
dict | ground_truth
string | dataset
string | omega_split
string |
|---|---|---|---|---|---|---|---|
math_algebra_func_area_level_3_3_500
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -1(-3(-5(-3x^2 - 1x + 4) - 2)^2 - 3(-5(-3x^2 - 1x + 4) - 2) - 2)^2 + 2(-3(-5(-3x^2 - 1x + 4) - 2)^2 - 3(-5(-3x^2 - 1x + 4) - 2) - 2) + 2, g(x) = -1|(-1|(-3cos(3πx - 2) + 2) + 1| - 1) - 2|, x = -1.4, and x = -1.2999999999999998. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
9.1
|
math
|
train
|
math_algebra_func_area_level_3_3_501
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 2(3sin(2π(1(-1|x + 3| - 2)^2 - 1(-1|x + 3| - 2) - 1) + 1) - 1) + 1 and g(x) = 2sin(3π(-3((2x + 1)/(-3x + 2)) + 2) + 3) + 3 from x = -4.8 to x = -4.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.5
|
math
|
train
|
math_algebra_func_area_level_3_3_502
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 4((2(1((-3x - 2)/(-1x + 2)) - 5))/(3(1((-3x - 2)/(-1x + 2)) - 5) + 1))^2 + 5((2(1((-3x - 2)/(-1x + 2)) - 5))/(3(1((-3x - 2)/(-1x + 2)) - 5) + 1)) - 1, g(x) = 4(3sin(1π(2x + 1) + 1) + 2)^2 - 5(3sin(1π(2x + 1) + 1) + 2) - 1, x = 1.3, and x = 1.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
19.8
|
math
|
train
|
math_algebra_func_area_level_3_3_503
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-2((-3(-3(-1|x - 2| - 3) - 5) - 2)/(1(-3(-1|x - 2| - 3) - 5) + 3)) - 1)/(-1((-3(-3(-1|x - 2| - 3) - 5) - 2)/(1(-3(-1|x - 2| - 3) - 5) + 3)) + 2) and g(x) = (2(2|(-2cos(1πx) - 2) + 3| + 1) - 2)/(2(2|(-2cos(1πx) - 2) + 3| + 1) - 1) between the vertical lines x = 1.5 and x = 1.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_504
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (-2(-2|(2(1x) + 2)| - 3) + 1)/(1(-2|(2(1x) + 2)| - 3) + 1) and g(x) = -2|(-5(-2|x| + 1) + 4) - 1| + 3 from x = -0.5 to x = 0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
2.9
|
math
|
train
|
math_algebra_func_area_level_3_3_505
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-3(4((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2))^2 - 3((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2)) - 5) - 3)/(2(4((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2))^2 - 3((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2)) - 5) - 1) and g(x) = (3(1|(-1x + 5) - 2| - 2) + 1)/(1(1|(-1x + 5) - 2| - 2) + 1) between the vertical lines x = 3.4 and x = 4.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
67.4
|
math
|
train
|
math_algebra_func_area_level_3_3_506
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 5(-1(5(-2|x| + 2)^2 + 5(-2|x| + 2) + 4) + 5)^2 - 3(-1(5(-2|x| + 2)^2 + 5(-2|x| + 2) + 4) + 5) - 5, g(x) = (3((2((-1x - 3)/(-1x + 3)) - 2)/(1((-1x - 3)/(-1x + 3)) - 3)) + 3)/(2((2((-1x - 3)/(-1x + 3)) - 2)/(1((-1x - 3)/(-1x + 3)) - 3)) + 3), x = -1.0, and x = -0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.6
|
math
|
train
|
math_algebra_func_area_level_3_3_507
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (-1(1(1|(1|x - 1| - 3) + 3| - 2) - 3) + 2)/(-3(1(1|(1|x - 1| - 3) + 3| - 2) - 3) + 2) and g(x) = -2((1((-1x - 1)/(-3x + 1)) + 1)/(1((-1x - 1)/(-3x + 1)))) - 3 from x = -4.7 to x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
148.0
|
math
|
train
|
math_algebra_func_area_level_3_3_508
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2|(-1(2cos(1π(-4x^2 - 4x - 4) + 2) + 1)^2 + 3(2cos(1π(-4x^2 - 4x - 4) + 2) + 1) - 1) - 1| + 1, g(x) = 1((-2(3|x + 2| - 3) - 1)/(3(3|x + 2| - 3) + 1))^2 - 4((-2(3|x + 2| - 3) - 1)/(3(3|x + 2| - 3) + 1)) + 3, x = 4.1, and x = 4.199999999999999. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_509
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1(-1((1(-4x - 1) + 1)/(2(-4x - 1) + 1))^2 + 2((1(-4x - 1) + 1)/(2(-4x - 1) + 1)) - 1) - 5, g(x) = -1(2(2x - 4) + 3)^2 + 5(2(2x - 4) + 3) + 2, x = -0.1, and x = 0.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
4.4
|
math
|
train
|
math_algebra_func_area_level_3_3_510
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 1(-3sin(3π(4(1|x + 2| + 2)^2 - 2(1|x + 2| + 2) + 1) - 1) + 1)^2 - 3(-3sin(3π(4(1|x + 2| + 2)^2 - 2(1|x + 2| + 2) + 1) - 1) + 1) + 2 and g(x) = (1((-1(2|x - 1| - 2))/(-2(2|x - 1| - 2) + 1)) - 3)/(-3((-1(2|x - 1| - 2))/(-2(2|x - 1| - 2) + 1)) - 2) 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}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_511
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (-1(1|((-2(3|x - 3| - 3) + 2)/(-3(3|x - 3| - 3) - 2)) - 2| - 3) + 1)/(-2(1|((-2(3|x - 3| - 3) + 2)/(-3(3|x - 3| - 3) - 2)) - 2| - 3)), g(x) = 3(4(2|x + 1| - 1)^2 + 3(2|x + 1| - 1)) + 1, x = -1.1, and x = -0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_512
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (1(3(-3(-3|x - 1| - 3) + 5) + 5) - 2)/(-1(3(-3(-3|x - 1| - 3) + 5) + 5) - 2) and g(x) = 4(-1|(-2sin(2πx + 3) + 1)| + 1)^2 + 3(-1|(-2sin(2πx + 3) + 1)| + 1) - 1 between the vertical lines x = -3.2 and x = -3.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.5
|
math
|
train
|
math_algebra_func_area_level_3_3_513
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 2|(-1|((1(-2x + 3))/(1(-2x + 3) - 3)) + 1| + 1) + 1| + 2 and g(x) = 3|(-3(-2x - 3) + 4) + 3| + 2 from x = -2.7 to x = -2.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_514
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -1cos(2π(-1(-2|(-3|x + 1| + 3) + 2|) - 2)) - 3 and g(x) = 1(-2|(-1e^(2x) + 3) + 1|) + 5 from x = -1.7 to x = -1.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_515
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-1(-1|(1|(-1|x - 1| - 1) - 1| - 1) + 3| - 1) + 2)/(-2(-1|(1|(-1|x - 1| - 1) - 1| - 1) + 3| - 1) + 3) and g(x) = -1(-1|(2x - 4) - 1| - 1)^2 - 4(-1|(2x - 4) - 1| - 1) + 3 between the vertical lines x = 0.7 and x = 4.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
17.1
|
math
|
train
|
math_algebra_func_area_level_3_3_516
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1|(-2|((-3(-1x^2 - 5x - 2) + 3)/(3(-1x^2 - 5x - 2) + 2))| + 2)| - 2 and g(x) = (2(3e^(-1(-1x^2 - 5x - 2)) - 2) - 3)/(3(3e^(-1(-1x^2 - 5x - 2)) - 2) - 2) from x = -4.6 to x = -0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
9.1
|
math
|
train
|
math_algebra_func_area_level_3_3_517
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -4(3((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3))^2 + 4((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3)) - 4)^2 - 2(3((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3))^2 + 4((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3)) - 4) - 1 and g(x) = -1|(3|(-2cos(1πx - 2) + 1) - 2| + 1)| from x = 3.7 to x = 4.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_518
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 4((-3(-3|(-1e^(-1x) - 2) - 3| + 1) + 2)/(1(-3|(-1e^(-1x) - 2) - 3| + 1) + 3)) - 5, g(x) = -2(1sin(3π(-2x^2 + 1) + 3) + 2)^2 - 4(1sin(3π(-2x^2 + 1) + 3) + 2) + 2, x = -3.5, and x = -3.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.8
|
math
|
train
|
math_algebra_func_area_level_3_3_519
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3((3(-4(-1x^2 - 4x + 2) - 5) + 2)/(-2(-4(-1x^2 - 4x + 2) - 5) + 3))^2 + 4((3(-4(-1x^2 - 4x + 2) - 5) + 2)/(-2(-4(-1x^2 - 4x + 2) - 5) + 3)) - 4 and g(x) = (3(-2(-3e^(-1x) - 3) - 2) - 2)/(-3(-2(-3e^(-1x) - 3) - 2) + 4) from x = -4.7 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
16.4
|
math
|
train
|
math_algebra_func_area_level_3_3_520
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2((-1((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) - 3)/(3((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) + 2))^2 + 2((-1((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) - 3)/(3((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) + 2)), g(x) = -4(1(-2cos(1πx - 3) + 3) - 2) + 1, x = -4.7, and x = -3.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
8.8
|
math
|
train
|
math_algebra_func_area_level_3_3_521
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (-2((1(-4(2e^(1x) - 1) - 2) + 3)/(-3(-4(2e^(1x) - 1) - 2) + 1)) - 2)/(-1((1(-4(2e^(1x) - 1) - 2) + 3)/(-3(-4(2e^(1x) - 1) - 2) + 1)) + 2), g(x) = (-1(2|(1sin(3πx - 2) + 1)| - 2) - 2)/(-2(2|(1sin(3πx - 2) + 1)| - 2) + 1), x = -1.7, and x = -1.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_522
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2(-1|((1(2x) - 1)/(2(2x) + 3)) - 1|) - 1, g(x) = -2cos(3π((-1((3x - 3)/(-2x - 3)) - 3)/(1((3x - 3)/(-2x - 3))))), x = -3.7, and x = -2.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
2.9
|
math
|
train
|
math_algebra_func_area_level_3_3_523
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (1(1(-1(-3cos(3πx - 3) - 3)^2 - 1(-3cos(3πx - 3) - 3) - 4) - 3) - 3)/(2(1(-1(-3cos(3πx - 3) - 3)^2 - 1(-3cos(3πx - 3) - 3) - 4) - 3) - 1), g(x) = -4(1e^(1(-4x + 1)) - 3)^2 - 1(1e^(1(-4x + 1)) - 3) + 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}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_524
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-3(1(5(4x) + 1) - 5) - 2)/(-3(1(5(4x) + 1) - 5) + 4) and g(x) = 2|(-3(2sin(1πx - 2))^2 - 2(2sin(1πx - 2)) + 3) + 1| + 2 between the vertical lines x = 0.3 and x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_525
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 3(3cos(1π(1(-4x - 2) - 1) - 2) - 1)^2 + 5(3cos(1π(1(-4x - 2) - 1) - 2) - 1) - 1 and g(x) = -2|(-5(2x - 5) + 1) - 3| between the vertical lines x = 2.2 and x = 2.3000000000000003. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.7
|
math
|
train
|
math_algebra_func_area_level_3_3_526
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2cos(2π(2|(2|((1x + 3)/(-3x + 1)) - 1| + 3)| + 2) + 3) + 3 and g(x) = 1sin(1π(2|((3x + 3)/(3x + 3)) + 3| + 1) - 1) + 1 between the vertical lines x = 0.1 and x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_527
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (1(-1|(-1|(1e^(1x) + 3) - 1|) + 3| + 3) + 2)/(3(-1|(-1|(1e^(1x) + 3) - 1|) + 3| + 3) - 1) and g(x) = 4((2((-1x)/(2x - 1)) - 1)/(-3((-1x)/(2x - 1)) + 4))^2 + 3((2((-1x)/(2x - 1)) - 1)/(-3((-1x)/(2x - 1)) + 4)) - 3 from x = 0.3 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
56.3
|
math
|
train
|
math_algebra_func_area_level_3_3_528
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1(-2|(3sin(2π(-2|x + 3| + 2) + 3) + 3)| + 2) + 4, g(x) = -2sin(3π(-2(1x - 2)^2 - 1(1x - 2) - 3) - 1) + 2, x = -0.0, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
1.6
|
math
|
train
|
math_algebra_func_area_level_3_3_529
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 1(2|((-1(-1x^2) - 1)/(2(-1x^2) + 3)) + 2| - 3)^2 + 5(2|((-1(-1x^2) - 1)/(2(-1x^2) + 3)) + 2| - 3) + 3 and g(x) = 2(-2cos(3π(1|x + 3| - 1) - 2) + 2) - 2 between the vertical lines x = 2.4 and x = 2.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.7
|
math
|
train
|
math_algebra_func_area_level_3_3_530
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -2(3|(3((-1x + 2)/(-2x + 1))^2 - 2((-1x + 2)/(-2x + 1)) + 5) - 1| - 3) + 4, g(x) = -2((1(5x + 5) + 3)/(-2(5x + 5) + 3))^2 - 4((1(5x + 5) + 3)/(-2(5x + 5) + 3)), x = -0.8, and x = -0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
-2967.7
|
math
|
train
|
math_algebra_func_area_level_3_3_531
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2e^(-1(2|(-2(2|x - 3|) + 1)| - 2)) - 1 and g(x) = 2((2(-2x^2 - 3x - 3) - 2)/(-1(-2x^2 - 3x - 3) + 2))^2 - 1((2(-2x^2 - 3x - 3) - 2)/(-1(-2x^2 - 3x - 3) + 2)) + 4 between the vertical lines x = 2.8 and x = 3.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
3.8
|
math
|
train
|
math_algebra_func_area_level_3_3_532
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1|((1(1((3x - 3)/(2x - 1))^2 - 5((3x - 3)/(2x - 1)) - 2))/(-3(1((3x - 3)/(2x - 1))^2 - 5((3x - 3)/(2x - 1)) - 2) - 3)) - 1| - 3 and g(x) = (1(-5(1cos(2πx)) - 1) + 3)/(-3(-5(1cos(2πx)) - 1) - 2) from x = 1.3 to x = 1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_533
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -5(3sin(2π(-2|((-1x + 1)/(-1x - 2)) + 3| + 1) - 3) + 2) - 2 and g(x) = -1|(1|(2x^2 + 2x) - 1| - 1) - 2| between the vertical lines x = -2.3 and x = -2.1999999999999997. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
1.2
|
math
|
train
|
math_algebra_func_area_level_3_3_534
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -3|(4(4((1x + 2)/(2x + 1))^2 - 4((1x + 2)/(2x + 1)) - 5)^2 + 1(4((1x + 2)/(2x + 1))^2 - 4((1x + 2)/(2x + 1)) - 5) + 5) - 1| + 3, g(x) = -3|(-3((-1x - 1)/(-3x - 1)) - 4) + 2| + 3, x = 0.1, and x = 0.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.5
|
math
|
train
|
math_algebra_func_area_level_3_3_535
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -3(-1(-5(-5x + 1)^2 + 4(-5x + 1) + 5) + 1) + 2, g(x) = (1(3((-1x + 2)/(1x + 2))) + 2)/(-3(3((-1x + 2)/(1x + 2)))), x = -0.1, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
4.7
|
math
|
train
|
math_algebra_func_area_level_3_3_536
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1cos(2π(-4(-2|((-3x + 2)/(-1x + 2)) + 1| - 2)^2 - 2(-2|((-3x + 2)/(-1x + 2)) + 1| - 2) - 4) - 1), g(x) = -4(-2cos(1π((-1x + 2)/(-2x - 2)) + 2) + 2)^2 - 5(-2cos(1π((-1x + 2)/(-2x - 2)) + 2) + 2) + 4, x = -1.6, and x = -1.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.3
|
math
|
train
|
math_algebra_func_area_level_3_3_537
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (-2(-3(2(-1|x - 1|)^2 - 1(-1|x - 1|)) + 1) + 3)/(2(-3(2(-1|x - 1|)^2 - 1(-1|x - 1|)) + 1) - 1) and g(x) = -2|(-1(3sin(3πx - 2) - 1)^2 - 1(3sin(3πx - 2) - 1) - 3) - 2| - 1 from x = 0.8 to x = 1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
11.7
|
math
|
train
|
math_algebra_func_area_level_3_3_538
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 3(-1|(-3sin(1π(3x^2 - 5x) - 1) - 1) + 2| + 1) - 3 and g(x) = -2|(2(-1|x|)^2 + 1(-1|x|) + 1) - 1| - 2 between the vertical lines x = 0.4 and x = 1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
4.5
|
math
|
train
|
math_algebra_func_area_level_3_3_539
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 3|((1(-2|(-4x + 5) + 3| + 2) - 2)/(-3(-2|(-4x + 5) + 3| + 2) + 2)) - 3| - 2, g(x) = -3((-3(4x - 2) - 1)/(3(4x - 2) + 3)) + 1, x = 1.8, and x = 1.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
7.9
|
math
|
train
|
math_algebra_func_area_level_3_3_540
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2(-2|(3(3x + 5) - 1)| + 3) - 3, g(x) = 3|(3sin(2π(2|x - 3|) - 3) - 1) + 3| - 3, x = -1.7, and x = -1.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_541
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3sin(1π((1((-1(1|x + 3| - 1) - 2)/(2(1|x + 3| - 1) - 1)))/(1((-1(1|x + 3| - 1) - 2)/(2(1|x + 3| - 1) - 1)) - 2)) - 1) + 1 and g(x) = 3sin(2π((3(-3|x - 3|) + 3)/(3(-3|x - 3|) - 1)) + 2) + 1 from x = -4.6 to x = -4.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
1.5
|
math
|
train
|
math_algebra_func_area_level_3_3_542
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -4(4(-1(1sin(3πx) - 2)) + 2)^2 + 5(4(-1(1sin(3πx) - 2)) + 2) + 5 and g(x) = -5(2(4x^2 - 2x - 3) + 2) - 4 between the vertical lines x = -3.4 and x = -3.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
92.0
|
math
|
train
|
math_algebra_func_area_level_3_3_543
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (-2(2|((-1(2x + 5) + 2)/(3(2x + 5) - 2)) - 3| + 3) + 3)/(1(2|((-1(2x + 5) + 2)/(3(2x + 5) - 2)) - 3| + 3)) and g(x) = -1|(-1|(-4x^2 - 5x + 3) - 2| + 1) + 1| + 1 from x = -2.0 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
4.9
|
math
|
train
|
math_algebra_func_area_level_3_3_544
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -1(3|(5(-1|x + 1| + 3)^2 - 2(-1|x + 1| + 3) - 1)| - 1) + 5 and g(x) = -1cos(3π((2((-2x)/(-1x + 2)) - 3)/(1((-2x)/(-1x + 2)) + 2)) + 3) + 2 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_545
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3cos(2π(-2((2((-2x - 1)/(1x)))/(1((-2x - 1)/(1x)) + 1))) + 2) + 3 and g(x) = -1cos(2π(1(2x - 5)^2 + 3(2x - 5) + 2) + 3) from x = -4.2 to x = -4.1000000000000005. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_546
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2e^(1((1(-4(-2|x - 2|) - 2) - 3)/(-2(-4(-2|x - 2|) - 2) - 2))) + 1 and g(x) = 1|((2(-2x^2 - 2x + 2) - 3)/(-1(-2x^2 - 2x + 2) + 2)) - 3| - 3 between the vertical lines x = -1.0 and x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
24.2
|
math
|
train
|
math_algebra_func_area_level_3_3_547
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-2(1|(-5((2x - 1)/(2x + 2))^2 - 1((2x - 1)/(2x + 2)) - 1) + 2|) + 1)/(-3(1|(-5((2x - 1)/(2x + 2))^2 - 1((2x - 1)/(2x + 2)) - 1) + 2|) + 1) and g(x) = 3sin(2π(-2|(3x + 3) - 3| + 2) + 3) - 1 between the vertical lines x = -2.4 and x = -2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_548
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (-1(-3(-5((2x)/(-2x - 2)) - 4)^2 + 5(-5((2x)/(-2x - 2)) - 4) + 4) - 2)/(-3(-3(-5((2x)/(-2x - 2)) - 4)^2 + 5(-5((2x)/(-2x - 2)) - 4) + 4) + 1), g(x) = -5(5((-1x - 2)/(-2x - 3))^2 + 3((-1x - 2)/(-2x - 3)) - 3)^2 + 1(5((-1x - 2)/(-2x - 3))^2 + 3((-1x - 2)/(-2x - 3)) - 3) + 3, x = -1.7, and x = -1.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
7.3
|
math
|
train
|
math_algebra_func_area_level_3_3_549
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -1(1|((2((1x - 3)/(1x)) + 2)/(3((1x - 3)/(1x)) + 3)) + 1| + 3) - 1 and g(x) = (-1((-3(2|x - 3| - 1) + 3)/(2(2|x - 3| - 1) + 3)) + 1)/(1((-3(2|x - 3| - 1) + 3)/(2(2|x - 3| - 1) + 3))) between the vertical lines x = 1.8 and x = 4.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
75.7
|
math
|
train
|
math_algebra_func_area_level_3_3_550
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 4(-1(2sin(3π((2x + 3)/(-1x - 1))))) - 3 and g(x) = 4(-2|((-2x - 2)/(1x)) - 3| - 1) - 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}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_551
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1|((1(1(-5x^2 - 1x)^2 + 3(-5x^2 - 1x) - 1) + 2)/(2(1(-5x^2 - 1x)^2 + 3(-5x^2 - 1x) - 1))) - 2| + 3 and g(x) = 2(3cos(2π((-2x + 2)/(1x)) + 2) + 3) - 4 from x = -0.2 to x = -0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_552
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (1((1(2(-3x^2 + 2x + 1) - 1) + 2)/(3(2(-3x^2 + 2x + 1) - 1) - 2)) - 3)/(3((1(2(-3x^2 + 2x + 1) - 1) + 2)/(3(2(-3x^2 + 2x + 1) - 1) - 2)) - 2), g(x) = -3cos(3π((-3(1|x + 2| + 3) - 1)/(3(1|x + 2| + 3) - 1)) + 2) - 2, x = -0.1, and x = 0.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.6
|
math
|
train
|
math_algebra_func_area_level_3_3_553
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2sin(1π(2|(-2((-1x - 3)/(-3x + 1)) + 5) - 2| - 2) + 1), g(x) = 3(2cos(3π(-3x - 5) - 2) + 1)^2 + 5(2cos(3π(-3x - 5) - 2) + 1) + 2, x = 4.8, and x = 4.8999999999999995. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.6
|
math
|
train
|
math_algebra_func_area_level_3_3_554
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-1(2|(-4(-1e^(1x) + 1)^2 + 1(-1e^(1x) + 1) + 2) + 2| + 2) + 3)/(3(2|(-4(-1e^(1x) + 1)^2 + 1(-1e^(1x) + 1) + 2) + 2| + 2) - 2) and g(x) = 1e^(1(-1(3x^2 - 4x - 3)^2 - 3(3x^2 - 4x - 3) + 1)) - 1 between the vertical lines x = -0.6 and x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
7.5
|
math
|
train
|
math_algebra_func_area_level_3_3_555
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (2(3(-1(1|x - 1| - 2) + 1) + 2) - 3)/(-1(3(-1(1|x - 1| - 2) + 1) + 2) - 1) and g(x) = 1((2(3|x - 1| + 1) - 1)/(-2(3|x - 1| + 1) - 3)) + 1 from x = -2.2 to x = 4.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
9.5
|
math
|
train
|
math_algebra_func_area_level_3_3_556
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 4(1sin(2π(4(5x + 1)^2 - 5(5x + 1) + 3) - 1) + 3) + 1 and g(x) = 4((1(-4x + 5) - 2)/(3(-4x + 5) - 2)) - 3 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.8
|
math
|
train
|
math_algebra_func_area_level_3_3_557
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 2cos(1π(1(-1(4x + 3))) - 2) - 2 and g(x) = -2(-4(-5x + 3)^2 + 5(-5x + 3) - 1)^2 - 3(-4(-5x + 3)^2 + 5(-5x + 3) - 1) - 3 from x = 0.3 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_558
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -3|(-1(4(4x^2 + 1x)^2 + 4(4x^2 + 1x) - 5) + 2) - 2| - 2, g(x) = -2((-1(-3|x + 3| + 3) - 2)/(-1(-3|x + 3| + 3) + 2)) - 5, x = -0.5, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
6.8
|
math
|
train
|
math_algebra_func_area_level_3_3_559
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 3sin(3π(-2(-2|((3x)/(-1x + 3)) + 2| - 1)^2 + 4(-2|((3x)/(-1x + 3)) + 2| - 1) - 2) - 2) - 3 and g(x) = (-1((-3((2x + 1)/(2x - 1)) + 3)/(3((2x + 1)/(2x - 1)))))/(3((-3((2x + 1)/(2x - 1)) + 3)/(3((2x + 1)/(2x - 1)))) - 2) between the vertical lines x = 2.4 and x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.3
|
math
|
train
|
math_algebra_func_area_level_3_3_560
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (1((-2(-3(3x^2 - 2x - 5) - 1))/(2(-3(3x^2 - 2x - 5) - 1) - 1)) + 2)/(2((-2(-3(3x^2 - 2x - 5) - 1))/(2(-3(3x^2 - 2x - 5) - 1) - 1)) - 1) and g(x) = 2e^(-2(-3|(2|x + 3| - 1) - 3| + 3)) - 1 from x = -1.0 to x = -0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.4
|
math
|
train
|
math_algebra_func_area_level_3_3_561
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -2cos(1π((-2(1(-2x - 1)^2 - 2))/(-2(1(-2x - 1)^2 - 2) + 3)) - 1) and g(x) = 4(-5(-2|x| + 2) - 5)^2 + 3(-5(-2|x| + 2) - 5) - 1 from x = -1.5 to x = -1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_562
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -1(3|(2|(-5x + 5) + 2| - 3)| - 3) + 2 and g(x) = 3sin(1π((-2((2x + 2)/(3x + 1)) + 1)/(2((2x + 2)/(3x + 1)) + 3)) + 3) - 2 between the vertical lines x = 1.5 and x = 1.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.9
|
math
|
train
|
math_algebra_func_area_level_3_3_563
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (2((-3(-3|((-2x)/(2x - 1)) + 1| + 1))/(2(-3|((-2x)/(2x - 1)) + 1| + 1) - 1)) + 3)/(1((-3(-3|((-2x)/(2x - 1)) + 1| + 1))/(2(-3|((-2x)/(2x - 1)) + 1| + 1) - 1)) - 2) and g(x) = 1e^(-2(2|(5x) + 1| + 3)) + 3 between the vertical lines x = -2.1 and x = 3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
58.3
|
math
|
train
|
math_algebra_func_area_level_3_3_564
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -1|(1e^(1((-1(-1x^2 - 2x) + 3)/(2(-1x^2 - 2x) + 3))) + 3) - 2| + 1, g(x) = 3cos(3π(1(2x^2 - 4)^2 + 2(2x^2 - 4) - 1) + 1), x = 3.2, and x = 3.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_565
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1(-2(3|(-2|x - 3| - 3) + 3| + 1) - 5) - 1, g(x) = -4(2(-3x + 1)^2 - 4(-3x + 1) + 4)^2 + 4(2(-3x + 1)^2 - 4(-3x + 1) + 4) + 1, x = -0.3, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
17.1
|
math
|
train
|
math_algebra_func_area_level_3_3_566
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1(3(-5(2x - 3)^2 + 4(2x - 3) - 1)^2 - 5(-5(2x - 3)^2 + 4(2x - 3) - 1) - 2) + 4 and g(x) = -2(4(1x - 3) - 1) - 2 from x = 1.5 to x = 1.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
2.1
|
math
|
train
|
math_algebra_func_area_level_3_3_567
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -1|(4(4(-1|x + 3|)^2 - 1(-1|x + 3|) - 2) + 5) + 1| + 3 and g(x) = 4(3sin(2π(-5x^2 - 1x - 3) + 3) + 2) + 2 between the vertical lines x = -3.2 and x = -3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.9
|
math
|
train
|
math_algebra_func_area_level_3_3_568
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1(5((-1(1|x - 2| - 1) - 3)/(-2(1|x - 2| - 1) - 2))^2 - 2((-1(1|x - 2| - 1) - 3)/(-2(1|x - 2| - 1) - 2)) + 1) and g(x) = 4(-1(1sin(1πx - 1))^2 + 2(1sin(1πx - 1)) + 5) - 4 from x = 3.7 to x = 3.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_569
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -1cos(1π((1(1(3|x - 1| - 1) + 4) - 2)/(1(1(3|x - 1| - 1) + 4) - 3))) - 1 and g(x) = 1sin(3π((1((3x + 2)/(-3x - 3)) - 3)/(-2((3x + 2)/(-3x - 3)) - 3)) + 2) - 1 from x = 1.1 to x = 1.2000000000000002. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_570
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -2(-3|(-2|(2x^2 - 4x + 5) - 3| - 2) + 2| - 1) - 1 and g(x) = -3(-3|(-2sin(2πx)) + 1| + 3) + 4 between the vertical lines x = 1.0 and x = 1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.5
|
math
|
train
|
math_algebra_func_area_level_3_3_571
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3(2(-5(2x - 1) + 3) + 2)^2 - 4(2(-5(2x - 1) + 3) + 2) - 5 and g(x) = -2|(-5(-3x - 1) - 5) - 3| - 2 from x = 0.8 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
3.7
|
math
|
train
|
math_algebra_func_area_level_3_3_572
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (2(1sin(2π(-1|((3x)/(3x - 2)) + 1| - 2) - 3)) + 3)/(2(1sin(2π(-1|((3x)/(3x - 2)) + 1| - 2) - 3)) + 1) and g(x) = -2e^(2((1(1x^2 - 2x + 4) - 1)/(2(1x^2 - 2x + 4) - 1))) + 2 between the vertical lines x = 0.4 and x = 0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.7
|
math
|
train
|
math_algebra_func_area_level_3_3_573
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 2sin(2π(1(-1|(1|x + 3| - 1) + 3| + 1)^2 - 2(-1|(1|x + 3| - 1) + 3| + 1) + 5) - 3) + 2 and g(x) = 1(-2|(1sin(2πx - 3) + 2) - 3| + 3)^2 - 2(-2|(1sin(2πx - 3) + 2) - 3| + 3) + 1 from x = 4.8 to x = 4.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_574
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3cos(1π(2((-2((-1x)/(-2x - 2)) - 1)/(-2((-1x)/(-2x - 2))))^2 + 3((-2((-1x)/(-2x - 2)) - 1)/(-2((-1x)/(-2x - 2)))) + 2) + 2) - 2 and g(x) = (2(-2sin(3π(-2|x - 1| - 3) + 3) + 1) + 2)/(1(-2sin(3π(-2|x - 1| - 3) + 3) + 1) + 3) from x = -0.2 to x = -0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.3
|
math
|
train
|
math_algebra_func_area_level_3_3_575
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2(4(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3)))^2 + 1(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3))) - 2)^2 - 2(4(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3)))^2 + 1(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3))) - 2) - 4 and g(x) = -2(1cos(3π(-2x^2 - 4x - 5)) - 2)^2 - 5(1cos(3π(-2x^2 - 4x - 5)) - 2) + 1 between the vertical lines x = 3.8 and x = 3.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_576
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (2(1|((3((3x + 1)/(-3x + 1)) - 3)/(-2((3x + 1)/(-3x + 1)) + 3)) - 1| - 1) - 3)/(2(1|((3((3x + 1)/(-3x + 1)) - 3)/(-2((3x + 1)/(-3x + 1)) + 3)) - 1| - 1) - 3), g(x) = -2sin(1π(-3|(-1x^2 - 4x - 1) - 1| - 3) + 1) - 1, x = 3.3, and x = 3.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_577
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 4(-1|(-3((2x + 3)/(2x - 1)) - 4) - 1| + 1) + 2, g(x) = -2(-1sin(3π((-3x - 1)/(-2x + 3))) - 1)^2 - 2(-1sin(3π((-3x - 1)/(-2x + 3))) - 1) - 1, x = -0.6, and x = -0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
1.6
|
math
|
train
|
math_algebra_func_area_level_3_3_578
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 3(1(2e^(-2((1x - 1)/(2x - 1)))) - 4)^2 + 4(1(2e^(-2((1x - 1)/(2x - 1)))) - 4) + 3, g(x) = 2(-1((2x)/(2x))^2 - 2((2x)/(2x)) + 3) + 2, x = 0.8, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.0
|
math
|
train
|
math_algebra_func_area_level_3_3_579
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (1(4(-1|(-3x^2 - 5x) - 3| - 1)^2 - 2(-1|(-3x^2 - 5x) - 3| - 1) - 2) - 2)/(-2(4(-1|(-3x^2 - 5x) - 3| - 1)^2 - 2(-1|(-3x^2 - 5x) - 3| - 1) - 2) + 3), g(x) = 2(3(1x - 2)^2 + 1) - 5, x = 1.4, and x = 2.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
2.1
|
math
|
train
|
math_algebra_func_area_level_3_3_580
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -2e^(1(-3|(-1|(3|x - 3| + 1)| + 3) + 3| + 3)) - 3 and g(x) = -1(-3|((1x + 2)/(-3x - 1)) + 3| + 2)^2 + 3(-3|((1x + 2)/(-3x - 1)) + 3| + 2) + 1 from x = 0.0 to x = 1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
28.6
|
math
|
train
|
math_algebra_func_area_level_3_3_581
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (2(-2|(-5(2|x + 1| - 2)^2 + 2(2|x + 1| - 2) - 2) + 1| + 3) + 3)/(1(-2|(-5(2|x + 1| - 2)^2 + 2(2|x + 1| - 2) - 2) + 1| + 3) + 1) and g(x) = 5((2(1|x - 3| + 3) - 3)/(3(1|x - 3| + 3) - 2))^2 - 5((2(1|x - 3| + 3) - 3)/(3(1|x - 3| + 3) - 2)) - 1 between the vertical lines x = -2.4 and x = -1.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
3.3
|
math
|
train
|
math_algebra_func_area_level_3_3_582
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (3(2(3cos(3π(-1x + 1) - 2) - 1)^2 - 5(3cos(3π(-1x + 1) - 2) - 1) - 1) + 1)/(-3(2(3cos(3π(-1x + 1) - 2) - 1)^2 - 5(3cos(3π(-1x + 1) - 2) - 1) - 1) - 3), g(x) = -1sin(2π((-2(3|x + 1| - 2) - 2)/(-3(3|x + 1| - 2) + 4)) + 2), x = -0.4, and x = -0.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.3
|
math
|
train
|
math_algebra_func_area_level_3_3_583
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -2cos(2π(-1|(3|(-2x^2 - 1) - 3| + 3) + 2| - 1) + 2) + 2, g(x) = 1|(-1(2x^2 - 1x - 1) + 4) - 3| + 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}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_584
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -1|(-3(-1(-2|x + 3| - 3)^2 - 5(-2|x + 3| - 3) + 2)) - 3| - 1 and g(x) = -2(1e^(2(-4x^2 + 1x - 5)) + 3)^2 - 3(1e^(2(-4x^2 + 1x - 5)) + 3) + 5 from x = -2.5 to x = -1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
12.6
|
math
|
train
|
math_algebra_func_area_level_3_3_585
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2((-2(1e^(-1(2x + 3)) + 2))/(-3(1e^(-1(2x + 3)) + 2) + 4))^2 + 4((-2(1e^(-1(2x + 3)) + 2))/(-3(1e^(-1(2x + 3)) + 2) + 4)) - 1, g(x) = 2(4(1x^2 + 4x)) + 3, x = -4.0, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
100.3
|
math
|
train
|
math_algebra_func_area_level_3_3_586
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-2(2(5((1x + 2)/(2x + 3)) - 3)^2 - 4(5((1x + 2)/(2x + 3)) - 3) + 3) - 2)/(3(2(5((1x + 2)/(2x + 3)) - 3)^2 - 4(5((1x + 2)/(2x + 3)) - 3) + 3) - 2) and g(x) = (2(3|((-2x + 1)/(-2x)) - 2| - 2) - 3)/(2(3|((-2x + 1)/(-2x)) - 2| - 2) + 3) between the vertical lines x = -2.0 and x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
112.8
|
math
|
train
|
math_algebra_func_area_level_3_3_587
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -2((2(-3(-3x + 3)^2 + 2(-3x + 3) + 1) + 3)/(-1(-3(-3x + 3)^2 + 2(-3x + 3) + 1) - 2)) + 4 and g(x) = -3(-1|(-2cos(1πx + 3) + 2) - 2| + 3)^2 + 2(-1|(-2cos(1πx + 3) + 2) - 2| + 3) + 3 between the vertical lines x = 0.5 and x = 1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
9.7
|
math
|
train
|
math_algebra_func_area_level_3_3_588
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 1(-5((2(2|x - 2|) - 1)/(1(2|x - 2|) + 2))^2 + 3((2(2|x - 2|) - 1)/(1(2|x - 2|) + 2)) - 3) + 3 and g(x) = -4(1sin(3π(-1|x + 2| - 3) + 2))^2 - 3(1sin(3π(-1|x + 2| - 3) + 2)) - 4 between the vertical lines x = -0.1 and x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.0
|
math
|
train
|
math_algebra_func_area_level_3_3_589
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -4((-3(1|((1x + 2)/(2x - 1))| + 3) - 2)/(-2(1|((1x + 2)/(2x - 1))| + 3) - 2)) and g(x) = -2|(-2|(2x) + 2| - 2) + 3| + 3 from x = -2.3 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
13.0
|
math
|
train
|
math_algebra_func_area_level_3_3_590
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3(-3e^(-2((2((-1x - 3)/(-2x + 3)) - 1)/(-3((-1x - 3)/(-2x + 3)) - 2)))) + 5 and g(x) = -1(1((1x + 2)/(3x))^2 + 5((1x + 2)/(3x)) + 3)^2 + 4(1((1x + 2)/(3x))^2 + 5((1x + 2)/(3x)) + 3) from x = -0.0 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
-233.0
|
math
|
train
|
math_algebra_func_area_level_3_3_591
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 1|((-2(1|(-2|x + 2|) - 2|))/(-2(1|(-2|x + 2|) - 2|) + 1)) + 3| + 1 and g(x) = (-1(3cos(1π(-5x - 1) + 2) + 1) + 3)/(2(3cos(1π(-5x - 1) + 2) + 1) - 1) between the vertical lines x = -4.6 and x = -4.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
1.9
|
math
|
train
|
math_algebra_func_area_level_3_3_592
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (-2((2((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 2)/(1((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 1)) - 1)/(-2((2((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 2)/(1((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 1))) and g(x) = -1(2cos(3π(-1x^2 - 5x + 2) - 2)) + 3 from x = 3.2 to x = 3.3000000000000003. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.2
|
math
|
train
|
math_algebra_func_area_level_3_3_593
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -2(-3((3((3x - 3)/(3x + 3)) - 2)/(2((3x - 3)/(3x + 3)) + 2)) + 2) and g(x) = -5((-3(1x^2 + 2x - 3) - 2)/(3(1x^2 + 2x - 3) - 2))^2 - 5((-3(1x^2 + 2x - 3) - 2)/(3(1x^2 + 2x - 3) - 2)) + 3 from x = -1.2 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
126.5
|
math
|
train
|
math_algebra_func_area_level_3_3_594
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (1(2|(-2|(-2|x - 2| - 1) + 1| + 3) + 3| - 3) + 1)/(3(2|(-2|(-2|x - 2| - 1) + 1| + 3) + 3| - 3) + 2) and g(x) = -2(-2cos(2π((-2x + 2)/(-2x - 3)) - 3) + 3) + 5 from x = -1.4 to x = -1.2999999999999998. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.3
|
math
|
train
|
math_algebra_func_area_level_3_3_595
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-1(-1(3((1x - 1)/(-2x - 3)) + 5)^2 + 4(3((1x - 1)/(-2x - 3)) + 5) + 1) - 1)/(-1(-1(3((1x - 1)/(-2x - 3)) + 5)^2 + 4(3((1x - 1)/(-2x - 3)) + 5) + 1) - 2) and g(x) = 3(1cos(3π(-1x + 4) + 1)) - 3 between the vertical lines x = 2.0 and x = 2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_596
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3|(3cos(1π(-5(2|x + 2| + 1)^2 - 2(2|x + 2| + 1) - 3) - 1) - 2) + 2| - 3 and g(x) = -1e^(-2(-4((3x - 3)/(-3x - 3)) + 3)) from x = 0.0 to x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.5
|
math
|
train
|
math_algebra_func_area_level_3_3_597
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2e^(-1(5(1(1x^2 - 3x - 1)^2 + 4(1x^2 - 3x - 1) - 1)^2 + 2(1(1x^2 - 3x - 1)^2 + 4(1x^2 - 3x - 1) - 1) + 1)) + 1, g(x) = (-1(-1(-2cos(2πx + 1) + 3)^2 + 2(-2cos(2πx + 1) + 3) + 4))/(-2(-1(-2cos(2πx + 1) + 3)^2 + 2(-2cos(2πx + 1) + 3) + 4) - 3), x = -4.8, and x = -4.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_598
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -3((-2(-1(2|x - 3| + 1) - 5) + 1)/(2(-1(2|x - 3| + 1) - 5))) - 4 and g(x) = 1(-1sin(2π(4x^2 - 5x + 5) + 2) + 3) - 3 between the vertical lines x = -1.4 and x = -1.2999999999999998. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.1
|
math
|
train
|
math_algebra_func_area_level_3_3_599
|
algebra_func_area3
|
medium (level 2,3)
| 3 |
{
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -2(5(1((-2x - 3)/(-3x))^2 + 1((-2x - 3)/(-3x)) - 2)^2 - 2(1((-2x - 3)/(-3x))^2 + 1((-2x - 3)/(-3x)) - 2) + 4) + 5 and g(x) = -1|(-3(-1x - 2)^2 + 1(-1x - 2) - 3) + 2| + 2 from x = -0.4 to x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
}
|
0.9
|
math
|
train
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.