id stringlengths 28 28 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringlengths 3 7 | dataset stringclasses 1
value |
|---|---|---|---|---|---|
algebra_func_area_train_0900 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 1(-5((1(2|x|))/(1(2|x|) - 3))^2 + 2) + 4, g(x) = (1(4(2x + 1)^2 - 4(2x + 1) + 3) + 3)/(1(4(2x + 1)^2 - 4(2x + 1) + 3) - 3), x = 0.1, and x = 0.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format... | 1.5 | math |
algebra_func_area_train_0901 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1e^(1((1x + 2)/(1x + 3))) - 1 and g(x) = 2|x + 2| - 3 between the vertical lines x = -3.0 and x = -1.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.8 | math |
algebra_func_area_train_0902 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -5(-2|(-1(2sin(2πx + 1) - 3)^2 - 3(2sin(2πx + 1) - 3) + 1) - 3| - 1) - 3 and g(x) = 1(3e^(1((3x + 1)/(-2x + 3))))^2 + 4(3e^(1((3x + 1)/(-2x + 3)))) + 1 between the vertical lines x = -1.1 and x = -0.7. Round to 1... | 4.2 | math |
algebra_func_area_train_0903 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -2(-1|(2((1x)/(2x - 1))^2 - 3((1x)/(2x - 1)) - 2) - 2| - 1) - 2 and g(x) = 2|(5(-2x^2 + 1x + 4) + 2) - 3| - 1 from x = -1.3 to x = -1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 1.9 | math |
algebra_func_area_train_0904 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-1(1|(-5x^2 - 3x - 4) - 3| - 2) + 3)/(-2(1|(-5x^2 - 3x - 4) - 3| - 2) + 3), g(x) = 1sin(1π(-5x - 4) - 3), x = 3.0, and x = 3.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your an... | 0.2 | math |
algebra_func_area_train_0905 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 5(2cos(2π(1x^2 + 4x - 5)) - 1) + 4 and g(x) = -3cos(3π(-1x^2 + 4x + 3)) + 2 between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 0.8 | math |
algebra_func_area_train_0906 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2|((2(-2(4x + 4)^2 + 4(4x + 4) + 1) + 1)/(1(-2(4x + 4)^2 + 4(4x + 4) + 1) + 2)) + 2| - 2 and g(x) = (1(3(-1|x - 1| - 1) - 1) + 2)/(-1(3(-1|x - 1| - 1) - 1) + 3) between the vertical lines x = -1.1 and x = -1.0. R... | 0.4 | math |
algebra_func_area_train_0907 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (3(-1cos(1π(-1|x| - 3)) - 2) - 3)/(3(-1cos(1π(-1|x| - 3)) - 2) + 2) and g(x) = (1(4x^2 + 5x - 5))/(-3(4x^2 + 5x - 5) + 2) from x = -2.0 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{... | 9.2 | math |
algebra_func_area_train_0908 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = (1(-1|x + 3| + 2) - 1)/(-2(-1|x + 3| + 2) + 1) and g(x) = (2x - 1)/(-1x) between the vertical lines x = -1.4 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 48.5 | math |
algebra_func_area_train_0909 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3((3(2|x| - 1) + 1)/(-3(2|x| - 1) + 4))^2 + 4((3(2|x| - 1) + 1)/(-3(2|x| - 1) + 4)) - 4 and g(x) = 1cos(3π(4x - 5) - 3) - 3 between the vertical lines x = -0.6 and x = -0.4. Round to 1 decimal place.\n\nPresent ... | 0.1 | math |
algebra_func_area_train_0910 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = -5((-3x + 1)/(-2x + 1)) + 4, g(x) = 2x + 5, x = -4.1, and x = 0.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16.9 | math |
algebra_func_area_train_0911 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 2|(-2sin(1πx + 3) - 2) + 1|, g(x) = 2|x - 2|, x = -0.2, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.9 | math |
algebra_func_area_train_0912 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 4(3cos(1πx + 1))^2 + 5(3cos(1πx + 1)) + 4 and g(x) = 5x - 2 between the vertical lines x = 4.0 and x = 4.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5.6 | math |
algebra_func_area_train_0913 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -2|(-1sin(3πx) - 3) + 3| and g(x) = 3x - 5 from x = 1.1 to x = 1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.1 | math |
algebra_func_area_train_0914 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -4(2sin(3π(3x^2 - 5) + 1) + 2) - 5 and g(x) = -4((-3x + 1)/(-1x + 3)) - 1 from x = -4.0 to x = -3.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.6 | math |
algebra_func_area_train_0915 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 1cos(1π(3(-2|x + 3| - 2)^2 + 5(-2|x + 3| - 2) - 1) - 2) - 1 and g(x) = 3e^(-1(2|x| + 1)) - 2 from x = -0.9 to x = -0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.1 | math |
algebra_func_area_train_0916 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (3(-5x + 2) - 2)/(-3(-5x + 2)), g(x) = 3x + 1, x = -0.6, and x = 0.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4.2 | math |
algebra_func_area_train_0917 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (2(3cos(2πx + 3) - 3) + 2)/(1(3cos(2πx + 3) - 3) + 2) and g(x) = (-2x - 2)/(3x - 2) from x = -2.6 to x = -2.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.3 | math |
algebra_func_area_train_0918 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -1((-1(-1x^2 + 2x + 4))/(1(-1x^2 + 2x + 4) - 3)) + 1 and g(x) = 1|(2x^2 - 2x + 1) + 3| + 1 from x = 0.0 to x = 2.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4.5 | math |
algebra_func_area_train_0919 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-1(1|(2(-5x^2 + 5x - 1) - 5) - 3| + 3) + 1)/(-1(1|(2(-5x^2 + 5x - 1) - 5) - 3| + 3) + 3) and g(x) = 1(4((3x + 3)/(-1x + 2))^2 - 2((3x + 3)/(-1x + 2)) - 2) + 3 from x = -1.0 to x = -0.5. Round to 1 decimal place.\n\nPrese... | 0.1 | math |
algebra_func_area_train_0920 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 1|((-1x - 1)/(-3x)) + 1| + 1 and g(x) = 1|x + 2| + 2 from x = -0.1 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14.7 | math |
algebra_func_area_train_0921 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-1(3|(-1(-3e^(1x) + 3)^2 - 1(-3e^(1x) + 3) + 1) + 1| + 1))/(1(3|(-1(-3e^(1x) + 3)^2 - 1(-3e^(1x) + 3) + 1) + 1| + 1) - 2), g(x) = -2|(-2cos(3π(-1x + 5) + 3) - 1) + 1| - 1, x = -1.5, and x = -1.2. Round your answer to 1 d... | 0.8 | math |
algebra_func_area_train_0922 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 1|(-1((-1x + 1)/(-3x - 1))^2 - 5((-1x + 1)/(-3x - 1)) - 1) - 3| + 3 and g(x) = -5(-2|x - 3| + 3) - 3 from x = -0.3 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5.7 | math |
algebra_func_area_train_0923 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -3|(-4(2sin(3πx + 1) + 2) - 2)| and g(x) = (-3(-5x - 3))/(1(-5x - 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}"
}
] | 45.0 | math |
algebra_func_area_train_0924 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-3(-3cos(3π(1(-3|x + 1| + 2)^2 - 4(-3|x + 1| + 2) + 2) + 1) + 1) - 2)/(-3(-3cos(3π(1(-3|x + 1| + 2)^2 - 4(-3|x + 1| + 2) + 2) + 1) + 1) + 4), g(x) = 3(-2|((3x - 2)/(-2x + 1)) + 2| + 1), x = 0.2, and x = 0.3. Round your a... | 0.4 | math |
algebra_func_area_train_0925 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3(-4((3x)/(1x + 2)) + 4)^2 + 3(-4((3x)/(1x + 2)) + 4) - 5 and g(x) = (2(-5x^2 + 1x - 3) - 2)/(-1(-5x^2 + 1x - 3) - 1) between the vertical lines x = 0.8 and x = 1.7. Round to 1 decimal place.\n\nPresent the answe... | 2.0 | math |
algebra_func_area_train_0926 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -2|(1(2cos(2π(-5x - 1) + 3))^2 + 3(2cos(2π(-5x - 1) + 3)) + 2) + 1| and g(x) = 3cos(2π((2(4x^2 - 4x + 3) - 1)/(-1(4x^2 - 4x + 3) - 3)) - 2) - 2 from x = -4.6 to x = -4.5. Round to 1 decimal place.\n\nPresent the answer in... | 0.9 | math |
algebra_func_area_train_0927 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-1(4(-3|x - 2| - 3) - 3) - 2)/(3(4(-3|x - 2| - 3) - 3) - 2) and g(x) = -1cos(2π(-1|x - 1| - 3) - 1) from x = 0.4 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.5 | math |
algebra_func_area_train_0928 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2(3cos(3πx) - 3) + 2 and g(x) = -1x^2 + 5x + 2 between the vertical lines x = -1.2 and x = -0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.4 | math |
algebra_func_area_train_0929 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1(2|(-2cos(3πx + 3) - 3) - 1| + 1) + 3 and g(x) = -2|(1x - 1) + 1| - 2 between the vertical lines x = -1.8 and x = -1.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 1.0 | math |
algebra_func_area_train_0930 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = -3sin(1π(-1(2x - 3)^2 + 1(2x - 3) - 2) - 3) - 3, g(x) = -4(-2cos(2πx - 1) - 1)^2 + 1(-2cos(2πx - 1) - 1) - 5, x = 4.8, and x = 4.8999999999999995. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex forma... | 0.3 | math |
algebra_func_area_train_0931 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = -2(-4(-3e^(-1(-3|x| + 1)) + 2)^2 + 2(-3e^(-1(-3|x| + 1)) + 2) + 5) - 3, g(x) = 2|(3(-3x^2 - 1x + 3) + 1) + 1| - 2, x = -0.4, and x = 0.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxe... | 21.7 | math |
algebra_func_area_train_0932 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = -1(2|x - 2| + 2)^2 + 4(2|x - 2| + 2) - 4, g(x) = (-2x)/(3x - 2), x = 1.4, and x = 2.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.7 | math |
algebra_func_area_train_0933 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 3cos(1π(-3|x + 1| + 3) - 2) - 1, g(x) = (-3x - 3)/(-1x + 2), x = -3.7, and x = -3.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.6 | math |
algebra_func_area_train_0934 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -4((-1(3(2|x + 2|) - 3) + 3)/(-2(3(2|x + 2|) - 3) + 3))^2 - 1((-1(3(2|x + 2|) - 3) + 3)/(-2(3(2|x + 2|) - 3) + 3)) + 5 and g(x) = 1(-3|(-3x)|)^2 + 2(-3|(-3x)|) + 1 from x = -0.3 to x = 0.3. Round to 1 decimal place.\n\nPr... | 1.9 | math |
algebra_func_area_train_0935 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 1sin(1π(-2|x + 1| - 2) - 3) + 3, g(x) = -1x^2 + 1x + 5, x = -1.0, and x = -0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.0 | math |
algebra_func_area_train_0936 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-1(-3|(4(1cos(3πx + 3) + 1) - 2) + 2| + 1) + 1)/(2(-3|(4(1cos(3πx + 3) + 1) - 2) + 2| + 1) + 1), g(x) = (-3(-2|(-1x + 5) + 2| + 2) - 2)/(-1(-2|(-1x + 5) + 2| + 2) + 2), x = 3.3, and x = 3.4. Round your answer to 1 decima... | 0.2 | math |
algebra_func_area_train_0937 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 2|(-2(-1x^2 - 5x - 4) + 3) - 3| + 3 and g(x) = 4(-3x - 3)^2 + 4(-3x - 3) + 4 from x = -1.0 to x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.6 | math |
algebra_func_area_train_0938 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 1((-2(2cos(1πx - 3) - 3) + 3)/(-1(2cos(1πx - 3) - 3)))^2 - 5((-2(2cos(1πx - 3) - 3) + 3)/(-1(2cos(1πx - 3) - 3))) + 5, g(x) = 2|(1cos(1πx - 3) - 1) + 2| + 1, x = 3.0, and x = 5.0. Round your answer to 1 decimal place.\n\n... | 5.9 | math |
algebra_func_area_train_0939 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-3(-3x - 5))/(-3(-3x - 5) - 1), g(x) = 1x, x = -1.6, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7.1 | math |
algebra_func_area_train_0940 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 5(1e^(2(-4(3|x - 3| - 1)^2 - 4(3|x - 3| - 1) - 3)) + 1) - 1 and g(x) = -3(-3|(-5x^2 + 2x - 1) + 1| + 2) - 1 from x = -0.3 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 8.1 | math |
algebra_func_area_train_0941 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 3|(3sin(1πx + 2) - 1) + 1| - 1, g(x) = 3|x + 2| - 1, x = -2.7, and x = -2.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.1 | math |
algebra_func_area_train_0942 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -5(2sin(3πx - 2) - 3) - 2 and g(x) = 5x - 1 between the vertical lines x = 2.9 and x = 3.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2.5 | math |
algebra_func_area_train_0943 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-1(4x - 2) - 3)/(-1(4x - 2) - 2), g(x) = -4x + 4, x = 0.1, and x = 0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.4 | math |
algebra_func_area_train_0944 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-1(2cos(1π(2(1x + 3)^2 - 5(1x + 3) - 3) + 1) - 3))/(-3(2cos(1π(2(1x + 3)^2 - 5(1x + 3) - 3) + 1) - 3) + 4), g(x) = (-1(1cos(1π(4x^2 + 2x - 2)) - 2))/(-3(1cos(1π(4x^2 + 2x - 2)) - 2) + 1), x = -3.9, and x = -3.8. Round yo... | 0.0 | math |
algebra_func_area_train_0945 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π(2x) + 3) - 3 and g(x) = -2x - 4 between the vertical lines x = -0.5 and x = -0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.4 | math |
algebra_func_area_train_0946 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 1(5((2x + 2)/(-2x - 3))^2 + 4((2x + 2)/(-2x - 3)) + 1) - 4, g(x) = -2((-2x - 3)/(-3x + 4))^2 + 1((-2x - 3)/(-3x + 4)) - 2, x = -1.1, and x = -0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex forma... | 0.9 | math |
algebra_func_area_train_0947 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2(2(2|x - 3| + 1) + 5)^2 - 1(2(2|x - 3| + 1) + 5) - 4 and g(x) = 5(3|x + 3|) - 1 between the vertical lines x = 3.0 and x = 3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 0.3 | math |
algebra_func_area_train_0948 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (2(1cos(2πx + 2) + 3) - 1)/(-1(1cos(2πx + 2) + 3) - 3) and g(x) = (-1x)/(1x - 3) from x = -4.9 to x = -4.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.0 | math |
algebra_func_area_train_0949 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 1(2(-3|(-2e^(2x) + 1) + 3| - 1) - 2)^2 + 2(2(-3|(-2e^(2x) + 1) + 3| - 1) - 2) + 3 and g(x) = 2|(-2((1x)/(3x + 1))^2 - 4((1x)/(3x + 1)) - 1) + 1| from x = -0.4 to x = -0.3. Round to 1 decimal place.\n\nPresent the answer i... | 8.8 | math |
algebra_func_area_train_0950 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-2(-4(2x - 2)^2 + 5(2x - 2) - 1) + 3)/(1(-4(2x - 2)^2 + 5(2x - 2) - 1) + 2), g(x) = -1|(1x) - 3| - 3, x = 0.8, and x = 1.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 27.2 | math |
algebra_func_area_train_0951 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 2(-2((2(-1cos(2πx - 1) + 1) + 1)/(-3(-1cos(2πx - 1) + 1) + 2))^2 - 5((2(-1cos(2πx - 1) + 1) + 1)/(-3(-1cos(2πx - 1) + 1) + 2)) + 5) + 1 and g(x) = (-2(1(-2|x - 1| - 2) - 4) + 1)/(1(1(-2|x - 1| - 2) - 4) - 3) from x = 2.4 ... | 8.8 | math |
algebra_func_area_train_0952 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -2|(3sin(3π(5x^2 + 5x + 2) - 1) - 3) - 1| and g(x) = -2sin(1π(4x) + 2) - 1 from x = 4.0 to x = 4.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3.0 | math |
algebra_func_area_train_0953 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π(-4x + 1) + 2) + 3 and g(x) = (3x - 1)/(1x + 3) between the vertical lines x = 3.6 and x = 3.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.2 | math |
algebra_func_area_train_0954 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 1((-3(1|x + 1| - 2) - 2)/(1(1|x + 1| - 2) - 2)) - 2 and g(x) = (-3(-2cos(3πx - 1)) + 1)/(1(-2cos(3πx - 1)) - 2) from x = -4.1 to x = -3.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 1.4 | math |
algebra_func_area_train_0955 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1e^(-1(1((-2x + 3)/(1x - 3))^2 - 1((-2x + 3)/(1x - 3)) + 3)) and g(x) = 1sin(2π(-3x - 4) - 3) - 1 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.\n\nPresent the answer in... | 0.1 | math |
algebra_func_area_train_0956 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2(-1e^(-2x))^2 + 2(-1e^(-2x)) - 5 and g(x) = -5x^2 - 4x + 3 between the vertical lines x = -0.5 and x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7.6 | math |
algebra_func_area_train_0957 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 1sin(1π(-4((-2x + 1)/(-1x + 2)) + 5) + 3) and g(x) = -5(-3|x - 1| + 1)^2 - 2(-3|x - 1| + 1) + 3 from x = 1.2 to x = 1.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.1 | math |
algebra_func_area_train_0958 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -1|(1((1x - 2)/(-1x))^2 - 2((1x - 2)/(-1x)) - 4)| + 2 and g(x) = 2(2cos(2πx - 2) + 2) - 5 from x = -3.5 to x = -2.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.9 | math |
algebra_func_area_train_0959 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (-1(4(1|x + 1| + 2) + 1))/(-3(4(1|x + 1| + 2) + 1) - 3), g(x) = -2(4x^2 - 2x - 2) + 2, x = -0.6, and x = 1.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7.2 | math |
algebra_func_area_train_0960 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-2(-3(1x^2 + 5x + 4) - 2) + 3)/(2(-3(1x^2 + 5x + 4) - 2) - 1) and g(x) = 2(-1|x - 3| + 2) - 5 between the vertical lines x = -3.7 and x = -1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\... | 32.2 | math |
algebra_func_area_train_0961 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (2(-2|(-4(2x + 3)^2 - 5(2x + 3) - 1) - 3| + 3))/(-1(-2|(-4(2x + 3)^2 - 5(2x + 3) - 1) - 3| + 3) - 1) and g(x) = 4(-3|((-3x + 1)/(2x + 2)) - 1| + 3) - 4 from x = -0.4 to x = 0.2. Round to 1 decimal place.\n\nPresent the an... | 2.8 | math |
algebra_func_area_train_0962 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -3(1(-3|x - 1| - 2)^2 + 5(-3|x - 1| - 2) - 5) - 3 and g(x) = -4(-3|x - 1| - 1) + 5 from x = 0.2 to x = 1.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22.5 | math |
algebra_func_area_train_0963 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = -3|((-1(3x - 1) - 2)/(3(3x - 1) + 1)) - 2| + 2, g(x) = -2cos(2π((1x + 3)/(2x)) - 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}"
}
] | 0.1 | math |
algebra_func_area_train_0964 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2(1sin(3πx - 1)) - 2 and g(x) = -1x^2 + 4x - 2 between the vertical lines x = 3.5 and x = 3.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.1 | math |
algebra_func_area_train_0965 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-2(1(3|x + 2|)^2 - 3(3|x + 2|) - 5) - 2)/(-2(1(3|x + 2|)^2 - 3(3|x + 2|) - 5) + 1) and g(x) = 1(3sin(1πx - 3) - 3)^2 + 3(3sin(1πx - 3) - 3) - 4 from x = -1.9 to x = -1.2. Round to 1 decimal place.\n\nPresent the answer i... | 6.1 | math |
algebra_func_area_train_0966 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-3(-5(-2x)^2 - 3(-2x) + 4) - 1)/(2(-5(-2x)^2 - 3(-2x) + 4) - 1) and g(x) = -2|(3x^2 - 2x + 4) - 2| - 2 from x = -0.3 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | 4.2 | math |
algebra_func_area_train_0967 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3cos(3π(-2(3|x + 3| - 2)^2 - 5(3|x + 3| - 2))) - 3 and g(x) = (-1(4x - 4) + 3)/(-1(4x - 4) - 2) between the vertical lines x = 0.8 and x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\... | 0.2 | math |
algebra_func_area_train_0968 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3((-2(-2cos(2πx - 1) - 1) - 2)/(-2(-2cos(2πx - 1) - 1) + 3))^2 + 2((-2(-2cos(2πx - 1) - 1) - 2)/(-2(-2cos(2πx - 1) - 1) + 3)) - 1 and g(x) = (-3(1e^(2x) + 2) - 3)/(1(1e^(2x) + 2) - 2) between the vertical lines ... | 6.3 | math |
algebra_func_area_train_0969 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (2(3|(-4x - 1) + 1| - 3))/(1(3|(-4x - 1) + 1| - 3)), g(x) = 1sin(2π(4x - 2) - 2) + 1, x = 2.9, and x = 3.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.2 | math |
algebra_func_area_train_0970 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -2(-2cos(1πx) - 2) and g(x) = 3x^2 - 4x - 4 from x = -0.8 to x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 23.5 | math |
algebra_func_area_train_0971 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -5(-1e^(2x) + 3)^2 + 5(-1e^(2x) + 3) + 4 and g(x) = -1|x + 1| - 2 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}"
}
] | 3.3 | math |
algebra_func_area_train_0972 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-2(1x - 3) + 3)/(-3(1x - 3)) and g(x) = -1x^2 + 3x + 1 from x = 2.4 to x = 3.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 42.1 | math |
algebra_func_area_train_0973 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-1(1(-4(-3sin(3πx) - 2) + 4)^2 - 2(-4(-3sin(3πx) - 2) + 4) - 3) - 1)/(2(1(-4(-3sin(3πx) - 2) + 4)^2 - 2(-4(-3sin(3πx) - 2) + 4) - 3) - 1) and g(x) = -2(-1e^(1(1x - 3)) - 2)^2 - 2(-1e^(1(1x - 3)) - 2) + 1 from x = -4.2 to... | 0.3 | math |
algebra_func_area_train_0974 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (2(1(-4(2|x + 3|) + 5)^2 + 4(-4(2|x + 3|) + 5) - 4) + 3)/(-3(1(-4(2|x + 3|) + 5)^2 + 4(-4(2|x + 3|) + 5) - 4) - 2), g(x) = -3|(1(4x^2 + 2x - 5) + 4) - 3| + 2, x = 0.7, and x = 0.9. Round your answer to 1 decimal place.\n\... | 0.3 | math |
algebra_func_area_train_0975 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3cos(3π(1x + 4) - 2) + 2 and g(x) = 4x + 2 between the vertical lines x = -0.5 and x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.2 | math |
algebra_func_area_train_0976 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = (2(-1|(4(-4x^2 - 1x - 1) + 2) - 3| - 3))/(-2(-1|(4(-4x^2 - 1x - 1) + 2) - 3| - 3) + 1), g(x) = -2(2|(5x^2 - 3x - 3) - 1| - 3) + 1, x = -0.4, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTe... | 9.2 | math |
algebra_func_area_train_0977 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-1(1x^2 + 1x - 1) - 2)/(2(1x^2 + 1x - 1) - 1) and g(x) = -4x^2 + 5x - 1 from x = -1.8 to x = 1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 27.3 | math |
algebra_func_area_train_0978 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 1|((2(-5(-4x + 5)^2 - 5(-4x + 5) + 5) + 1)/(3(-5(-4x + 5)^2 - 5(-4x + 5) + 5)))| - 1, g(x) = -4((3(2e^(1x)) + 2)/(-3(2e^(1x))))^2 - 2((3(2e^(1x)) + 2)/(-3(2e^(1x)))) + 4, x = 0.0, and x = 1.1. Round your answer to 1 decim... | 1.1 | math |
algebra_func_area_train_0979 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -5(-1((-1x + 1)/(1x - 3))^2 + 1((-1x + 1)/(1x - 3)) + 4) + 4 and g(x) = -5(2|x + 3| - 3)^2 + 3(2|x + 3| - 3) - 2 between the vertical lines x = -2.0 and x = -0.6. Round to 1 decimal place.\n\nPresent the answer i... | 9.9 | math |
algebra_func_area_train_0980 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3(-2(1sin(3π((3x - 3)/(-1x)) + 3) + 2) + 2)^2 + 2(-2(1sin(3π((3x - 3)/(-1x)) + 3) + 2) + 2) - 4 and g(x) = -2e^(2(-5(-1x + 3)^2 + 3(-1x + 3) - 1)) between the vertical lines x = 1.1 and x = 1.3. Round to 1 decima... | 0.9 | math |
algebra_func_area_train_0981 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -1sin(1π(-1|(-3x - 2) + 3| + 1) - 3) and g(x) = 3cos(1π(-2x^2 + 1x + 1)) from x = -3.2 to x = -3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.1 | math |
algebra_func_area_train_0982 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3(1cos(1πx + 2))^2 + 4(1cos(1πx + 2)) + 2 and g(x) = 4x^2 + 3x + 1 between the vertical lines x = -1.1 and x = -0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2.1 | math |
algebra_func_area_train_0983 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1(-2sin(1π((-1(-1x^2 + 3x + 1) - 1)/(2(-1x^2 + 3x + 1) - 1)) + 1) + 3) + 2 and g(x) = -3(-1(-2cos(3πx) - 2) - 4)^2 - 4(-1(-2cos(3πx) - 2) - 4) + 2 between the vertical lines x = -0.1 and x = 3.2. Round to 1 decim... | 47.8 | math |
algebra_func_area_train_0984 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = -3(1sin(1πx - 2)) + 1, g(x) = (3x - 1)/(1x - 3), x = -4.3, and x = -3.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.2 | math |
algebra_func_area_train_0985 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 2cos(3π(-2|x + 3| - 1)) - 1 and g(x) = (1x - 1)/(3x + 1) from x = 3.6 to x = 3.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.4 | math |
algebra_func_area_train_0986 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (1(2(1(2|x - 1| + 3) + 5)^2 + 3(1(2|x - 1| + 3) + 5)) - 2)/(1(2(1(2|x - 1| + 3) + 5)^2 + 3(1(2|x - 1| + 3) + 5)) + 3) and g(x) = 1|(4(4x^2 - 4x - 2) + 5) + 2| - 2 from x = -0.2 to x = 0.1. Round to 1 decimal place.\n\nPre... | 0.5 | math |
algebra_func_area_train_0987 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 3|((-3(-5(5x + 5)^2 - 3(5x + 5) + 5) - 1)/(-3(-5(5x + 5)^2 - 3(5x + 5) + 5)))| + 1, g(x) = 3|(1(-3x^2 - 1x - 2) + 3) - 3| - 3, x = -0.5, and x = 0.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex fo... | 0.6 | math |
algebra_func_area_train_0988 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1|(-1(1x^2 - 4x - 1) - 2) - 2| - 3 and g(x) = -3|((1x - 2)/(2x + 1))| + 1 between the vertical lines x = 0.4 and x = 4.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 9.1 | math |
algebra_func_area_train_0989 | algebra_func_area | null | [
{
"role": "user",
"content": "Find the area of the region bounded by the curves f(x) = 3(2sin(3π(-3|x + 2| - 1) + 1) + 2) + 3, g(x) = 4(-3x^2 - 3x + 1) + 3, x = -0.3, and x = -0.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0.4 | math |
algebra_func_area_train_0990 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = -1(-2e^(-1(3x)))^2 + 1(-2e^(-1(3x))) + 1 and g(x) = -1((-1x - 1)/(-2x + 1))^2 + 5((-1x - 1)/(-2x + 1)) - 3 from x = 0.7 to x = 2.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 1.4 | math |
algebra_func_area_train_0991 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(3e^(1(1|x - 1|)) + 1) + 1)/(3(3e^(1(1|x - 1|)) + 1) - 2) and g(x) = (2(2x^2 - 5x - 3) - 2)/(-1(2x^2 - 5x - 3)) between the vertical lines x = -0.7 and x = 3.2. Round to 1 decimal place.\n\nPresent the answer ... | 12.0 | math |
algebra_func_area_train_0992 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = 5(1e^(-1(2|x - 2| + 1)) - 3)^2 - 1(1e^(-1(2|x - 2| + 1)) - 3) + 2 and g(x) = 5(-5x - 2)^2 - 3(-5x - 2) + 4 from x = -1.1 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 37.9 | math |
algebra_func_area_train_0993 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-2(3(-1|x - 3| + 1)^2 + 4(-1|x - 3| + 1) + 1) - 2)/(-3(3(-1|x - 3| + 1)^2 + 4(-1|x - 3| + 1) + 1) + 4) and g(x) = -1e^(1((2x - 1)/(1x))) between the vertical lines x = 2.0 and x = 4.0. Round to 1 decimal place.\... | 17.8 | math |
algebra_func_area_train_0994 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = 4((1(-4x^2 + 3x + 2))/(2(-4x^2 + 3x + 2) + 2)) - 4 and g(x) = 1e^(-2(1|x + 3|)) + 3 between the vertical lines x = -0.6 and x = 1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your a... | 23.3 | math |
algebra_func_area_train_0995 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = (1(-3cos(1π(5x^2 - 5x - 1) - 1) + 3))/(2(-3cos(1π(5x^2 - 5x - 1) - 1) + 3) + 3) and g(x) = -1|((-3x)/(2x - 1))| + 3 between the vertical lines x = 0.3 and x = 1.1. Round to 1 decimal place.\n\nPresent the answer ... | 34.3 | math |
algebra_func_area_train_0996 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2((1(-2x^2 + 5x + 5) - 2)/(3(-2x^2 + 5x + 5) - 2)) - 4 and g(x) = -1((2x)/(2x + 1))^2 - 2((2x)/(2x + 1)) + 5 between the vertical lines x = -0.7 and x = -0.4. Round to 1 decimal place.\n\nPresent the answer in L... | -2.4 | math |
algebra_func_area_train_0997 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (-1(1e^(-2x) + 3) - 3)/(-1(1e^(-2x) + 3)) and g(x) = 1|x + 2| from x = -3.0 to x = -0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1.2 | math |
algebra_func_area_train_0998 | algebra_func_area | null | [
{
"role": "user",
"content": "Calculate the area enclosed between the functions f(x) = (1(-3cos(3π(5(-1|x + 2| + 2)^2 + 3(-1|x + 2| + 2) + 2) - 1) + 3) - 2)/(-1(-3cos(3π(5(-1|x + 2| + 2)^2 + 3(-1|x + 2| + 2) + 2) - 1) + 3) - 2) and g(x) = 1sin(3π(-4((1x - 2)/(-2x - 1)) - 4) + 3) from x = 4.4 to x = 4.5. Rou... | 0.0 | math |
algebra_func_area_train_0999 | algebra_func_area | null | [
{
"role": "user",
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(2cos(3πx + 2) + 3) - 3)/(-1(2cos(3πx + 2) + 3) + 3) and g(x) = -2|x| + 1 between the vertical lines x = 4.7 and x = 4.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 1.2 | math |
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