id stringlengths 31 70 | setting_key stringclasses 31
values | difficulty stringclasses 1
value | level int32 1 1 | messages dict | ground_truth stringlengths 1 19 | dataset stringclasses 1
value | omega_split stringclasses 1
value |
|---|---|---|---|---|---|---|---|
math_algebra_func_area_level_1_1_100 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2|(4x^2 - 1x - 2) + 3| - 3 and g(x) = -2|x| + 2 between the vertical lines x = -0.4 and x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.9 | math | train |
math_algebra_func_area_level_1_1_101 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 1sin(3π(1x^2 + 2x + 3)) - 3 and g(x) = -4x between the vertical lines x = 0.6 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_102 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -3|((-3x - 1)/(2x + 3)) - 2| + 1, g(x) = (1x + 1)/(-2x + 3), x = -1.0, and x = 1.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 41.4 | math | train |
math_algebra_func_area_level_1_1_103 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (1(-2cos(3πx + 2)) + 1)/(-2(-2cos(3πx + 2))) and g(x) = -3x^2 - 1x - 5 from x = 0.6 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.7 | math | train |
math_algebra_func_area_level_1_1_104 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1(2x)^2 + 5(2x) + 4 and g(x) = -1|x + 1| + 1 from x = -2.0 to x = -0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.1 | math | train |
math_algebra_func_area_level_1_1_105 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2|(2x + 4) - 1| + 1 and g(x) = 1|x + 3| + 3 between the vertical lines x = -2.2 and x = -0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.3 | math | train |
math_algebra_func_area_level_1_1_106 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -2sin(3π(2|x - 2| - 1) + 1) - 3, g(x) = 1x - 4, x = -0.9, and x = -0.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.0 | math | train |
math_algebra_func_area_level_1_1_107 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (1((1x + 2)/(1x + 1)) + 2)/(1((1x + 2)/(1x + 1)) - 2) and g(x) = 1x + 2 from x = -4.0 to x = -1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 2.0 | math | train |
math_algebra_func_area_level_1_1_108 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3cos(3π((-1x)/(-3x - 3)) - 2) - 1 and g(x) = 1x - 2 from x = -0.7 to x = -0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_109 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2cos(1π(5x - 3) + 1) - 2 and g(x) = (-1x + 1)/(2x - 1) between the vertical lines x = 0.2 and x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_110 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3(-3x)^2 + 3(-3x) + 1 and g(x) = 4x - 3 from x = -0.7 to x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.4 | math | train |
math_algebra_func_area_level_1_1_111 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (-3(2x^2 + 2x - 3) + 1)/(-3(2x^2 + 2x - 3) + 4), g(x) = -1x - 5, x = -2.0, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 15.2 | math | train |
math_algebra_func_area_level_1_1_112 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 3(5x^2 - 4x + 1)^2 - 1(5x^2 - 4x + 1) and g(x) = 2x between the vertical lines x = 0.2 and x = 0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.5 | math | train |
math_algebra_func_area_level_1_1_113 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3(-2sin(2πx - 2) + 2)^2 + 5(-2sin(2πx - 2) + 2) - 1 and g(x) = 3|x + 1| - 3 from x = -1.7 to x = -1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.9 | math | train |
math_algebra_func_area_level_1_1_114 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2cos(3π((-3x)/(2x - 1)) + 3) - 2, g(x) = 5x - 4, x = 0.8, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_115 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3(-3sin(1πx + 1) - 2)^2 + 5(-3sin(1πx + 1) - 2) + 2 and g(x) = -5x from x = -4.2 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 14.6 | math | train |
math_algebra_func_area_level_1_1_116 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3cos(3π(-2x + 1) + 3) - 3 and g(x) = -1|x + 1| - 1 from x = -3.6 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.4 | math | train |
math_algebra_func_area_level_1_1_117 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3e^(2(-4x^2 + 3x + 4)) + 2 and g(x) = 1|x - 2| - 2 from x = -2.0 to x = -0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.7 | math | train |
math_algebra_func_area_level_1_1_118 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -4(2cos(1πx - 3) - 2) + 1, g(x) = -2|x + 1| + 2, x = -1.2, and x = -0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_119 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (1((3x - 3)/(-1x + 3)) + 1)/(-3((3x - 3)/(-1x + 3)) - 1) and g(x) = 2|x - 1| - 1 from x = 0.4 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 8.9 | math | train |
math_algebra_func_area_level_1_1_120 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2cos(3π((-1x + 3)/(-3x + 1)) - 3) - 2, g(x) = -3|x - 3| + 3, x = 0.7, and x = 0.7999999999999999. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_121 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -1sin(2π(-3x^2 + 2x + 2) - 3) + 1, g(x) = (3x - 2)/(1x), x = 1.5, and x = 1.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_122 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -5(3sin(3πx + 2) + 1)^2 - 2(3sin(3πx + 2) + 1) and g(x) = -3|x - 2| - 2 from x = -0.2 to x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 14.7 | math | train |
math_algebra_func_area_level_1_1_123 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π((-3x - 3)/(3x + 3)) - 2) + 3 and g(x) = -1|x - 2| + 2 between the vertical lines x = 1.2 and x = 2.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.7 | math | train |
math_algebra_func_area_level_1_1_124 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -3|(1|x| - 3) + 1| and g(x) = (-1x + 2)/(3x + 1) between the vertical lines x = -2.2 and x = -1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_125 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1(2cos(2πx + 1) + 1)^2 - 1(2cos(2πx + 1) + 1) - 3, g(x) = -1x - 5, x = -3.4, and x = -3.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.1 | math | train |
math_algebra_func_area_level_1_1_126 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -3|(4x^2 - 2x - 3) + 2| + 2, g(x) = -1|x - 1| + 3, x = -0.3, and x = -0.19999999999999998. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_127 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (2(-3|x + 2| + 1) - 2)/(3(-3|x + 2| + 1) - 2) and g(x) = -4x^2 + 5 between the vertical lines x = -1.9 and x = -1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 5.6 | math | train |
math_algebra_func_area_level_1_1_128 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1(-1cos(1πx - 2) + 2)^2 + 5(-1cos(1πx - 2) + 2) + 2, g(x) = -3x + 3, x = -3.8, and x = -3.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 2.7 | math | train |
math_algebra_func_area_level_1_1_129 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-2(2cos(3πx - 1) - 2) + 2)/(-3(2cos(3πx - 1) - 2) + 2) and g(x) = (3x + 3)/(1x - 3) between the vertical lines x = -2.6 and x = -2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\bo... | 0.0 | math | train |
math_algebra_func_area_level_1_1_130 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -1|(5x^2 + 4x - 4) + 1| + 2 and g(x) = (-2x - 1)/(-1x - 2) between the vertical lines x = -0.9 and x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.6 | math | train |
math_algebra_func_area_level_1_1_131 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2(1x^2 - 3x + 1) + 1 and g(x) = 1|x| - 3 between the vertical lines x = 1.5 and x = 2.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.0 | math | train |
math_algebra_func_area_level_1_1_132 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -2e^(1(-1|x - 1| + 1)) + 2, g(x) = 4x^2 + 1x - 3, x = -1.2, and x = 0.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.9 | math | train |
math_algebra_func_area_level_1_1_133 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -3(1sin(3πx + 3)) - 5 and g(x) = -3|x| - 3 between the vertical lines x = -0.4 and x = 0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.3 | math | train |
math_algebra_func_area_level_1_1_134 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 5(2cos(3πx - 1) - 3) + 3, g(x) = (-2x - 1)/(1x - 2), x = 4.7, and x = 4.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_135 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (3(3x^2 - 5x + 1) + 1)/(2(3x^2 - 5x + 1) + 1), g(x) = 1|x + 3|, x = 0.4, and x = 1.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.4 | math | train |
math_algebra_func_area_level_1_1_136 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -1sin(2π((3x - 1)/(3x + 1)) - 1) and g(x) = (1x + 1)/(-2x - 2) from x = -0.4 to x = -0.30000000000000004. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_137 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-3(1|x - 3| - 2) - 1)/(2(1|x - 3| - 2) + 1) and g(x) = -2|x - 3| + 3 between the vertical lines x = 4.8 and x = 5.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 0.0 | math | train |
math_algebra_func_area_level_1_1_138 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2sin(2π(5x^2 - 2x - 1) + 1) - 3, g(x) = (-1x + 2)/(-2x + 1), x = 0.8, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_139 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3|(-1x + 1) + 1| - 1 and g(x) = 4x^2 - 1x + 2 from x = -1.2 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.9 | math | train |
math_algebra_func_area_level_1_1_140 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 3sin(3π(-1x) - 2) - 3 and g(x) = (2x + 2)/(-2x - 2) from x = 2.4 to x = 2.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.5 | math | train |
math_algebra_func_area_level_1_1_141 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 2sin(3π((-1x)/(2x - 3)) - 1) + 1 and g(x) = 1x^2 - 4x + 3 from x = 1.2 to x = 1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_142 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -1|(-2sin(3πx - 2) + 3) - 3| + 1, g(x) = 1x - 1, x = 0.3, and x = 0.4. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.0 | math | train |
math_algebra_func_area_level_1_1_143 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2|(-1sin(3πx - 1)) + 3| - 3, g(x) = (-3x + 3)/(-2x + 3), x = 3.5, and x = 3.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_144 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 1(1|x - 2| - 3)^2 - 3(1|x - 2| - 3) - 4 and g(x) = 2|x + 1| + 3 between the vertical lines x = 1.2 and x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.1 | math | train |
math_algebra_func_area_level_1_1_145 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -4(-3cos(2πx) - 3) - 1 and g(x) = -5x + 5 between the vertical lines x = -1.8 and x = -1.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 4.7 | math | train |
math_algebra_func_area_level_1_1_146 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -4((-3x + 3)/(2x - 1))^2 + 2((-3x + 3)/(2x - 1)) + 5 and g(x) = -3|x| between the vertical lines x = -3.3 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 30.0 | math | train |
math_algebra_func_area_level_1_1_147 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -4(1|x - 1| - 1)^2 - 5(1|x - 1| - 1) - 3 and g(x) = -3x + 1 from x = 1.0 to x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 2.2 | math | train |
math_algebra_func_area_level_1_1_148 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -1sin(3π(3|x| - 2) - 1) - 3 and g(x) = -5x^2 + 5x + 5 from x = -0.8 to x = 1.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 16.8 | math | train |
math_algebra_func_area_level_1_1_149 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (1(2x - 5) + 2)/(-3(2x - 5) + 1) and g(x) = 4x + 2 between the vertical lines x = -0.6 and x = 2.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 18.8 | math | train |
math_algebra_func_area_level_1_1_150 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1e^(2(-3|x| + 2)) - 1, g(x) = (-1x - 1)/(1x), x = -0.6, and x = -0.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 23.5 | math | train |
math_algebra_func_area_level_1_1_151 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -1|(3cos(3πx + 1) + 3) - 2| + 2 and g(x) = -2x^2 - 2x + 4 between the vertical lines x = -1.6 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 8.7 | math | train |
math_algebra_func_area_level_1_1_152 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (-1(3sin(1πx - 1) + 2) - 2)/(3(3sin(1πx - 1) + 2) - 2) and g(x) = -2x^2 + 3x - 5 from x = 0.2 to x = 1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 4.0 | math | train |
math_algebra_func_area_level_1_1_153 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -2sin(2π(2|x - 1| - 3) - 1) + 1 and g(x) = -3x - 3 from x = -1.1 to x = -0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.7 | math | train |
math_algebra_func_area_level_1_1_154 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -1cos(2π((-2x + 2)/(-1x - 1)) - 2) + 3, g(x) = 1|x - 3| + 3, x = 2.2, and x = 3.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.4 | math | train |
math_algebra_func_area_level_1_1_155 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -1(2x - 5)^2 + 5(2x - 5) - 2 and g(x) = 1|x + 3| - 3 between the vertical lines x = 3.2 and x = 4.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.3 | math | train |
math_algebra_func_area_level_1_1_156 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 2e^(-1(-2x + 5)) + 3 and g(x) = 3|x + 3| - 2 between the vertical lines x = -1.3 and x = 3.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 27.7 | math | train |
math_algebra_func_area_level_1_1_157 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -4(3x^2 + 3x - 3) - 5 and g(x) = 1|x - 1| from x = -1.3 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 9.6 | math | train |
math_algebra_func_area_level_1_1_158 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -1cos(2π(-2x^2 + 4x + 2) - 2) + 2, g(x) = -4x - 1, x = -0.7, and x = -0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_159 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 4(1cos(3πx + 2) - 1) - 3 and g(x) = 1x - 3 from x = -4.7 to x = -4.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.7 | math | train |
math_algebra_func_area_level_1_1_160 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -2|(4x - 1)| + 1 and g(x) = 1|x - 1| - 3 between the vertical lines x = -0.1 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.3 | math | train |
math_algebra_func_area_level_1_1_161 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -1(-5x^2 - 5x + 5) + 3 and g(x) = (3x + 2)/(-1x + 2) from x = -1.2 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 4.3 | math | train |
math_algebra_func_area_level_1_1_162 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (2(1sin(3πx + 3) - 3) - 2)/(1(1sin(3πx + 3) - 3) + 2), g(x) = 2x^2 + 5x + 2, x = 3.2, and x = 3.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 22.5 | math | train |
math_algebra_func_area_level_1_1_163 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (-2(-3e^(-1x) - 3) + 1)/(1(-3e^(-1x) - 3) - 2), g(x) = 2|x - 1| - 3, x = 0.3, and x = 1.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.1 | math | train |
math_algebra_func_area_level_1_1_164 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -5(2sin(1πx + 1) + 1) + 5, g(x) = 3x + 1, x = -0.3, and x = 0.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 8.1 | math | train |
math_algebra_func_area_level_1_1_165 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 4(-2x^2 - 4x - 1) + 3 and g(x) = (-1x - 2)/(-3x + 2) between the vertical lines x = -1.9 and x = 0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 9.3 | math | train |
math_algebra_func_area_level_1_1_166 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2(-2cos(2πx + 1) + 1) - 1, g(x) = 4x^2 + 1, x = 0.1, and x = 0.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.0 | math | train |
math_algebra_func_area_level_1_1_167 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1e^(1(-1|x + 3| - 2)) + 3, g(x) = 3|x - 1| + 1, x = 0.3, and x = 1.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.3 | math | train |
math_algebra_func_area_level_1_1_168 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 3(-2sin(1πx + 3) + 1)^2 + 3(-2sin(1πx + 3) + 1) - 2, g(x) = 5x - 5, x = 3.0, and x = 4.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 15.4 | math | train |
math_algebra_func_area_level_1_1_169 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -1sin(3π(-1|x - 3|)), g(x) = (1x - 3)/(2x + 2), x = 0.6, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.4 | math | train |
math_algebra_func_area_level_1_1_170 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -5(4x - 3) + 3 and g(x) = (-2x + 1)/(-1x) from x = -0.1 to x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 44.8 | math | train |
math_algebra_func_area_level_1_1_171 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(-3x - 5)) + 3 and g(x) = 1|x + 1| - 1 between the vertical lines x = 2.9 and x = 3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_172 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -4(-5x + 1)^2 + 5 and g(x) = 1|x - 1| + 2 from x = 0.1 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.4 | math | train |
math_algebra_func_area_level_1_1_173 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1((2x + 1)/(2x - 3))^2 + 4((2x + 1)/(2x - 3)) - 1 and g(x) = (2x - 2)/(3x - 2) from x = 0.7 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.4 | math | train |
math_algebra_func_area_level_1_1_174 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = (2(2x) + 1)/(1(2x)), g(x) = -2|x + 2| + 3, x = -2.6, and x = -1.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.8 | math | train |
math_algebra_func_area_level_1_1_175 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -4(1x^2 + 3x - 2)^2 + 2(1x^2 + 3x - 2) - 1 and g(x) = 1x - 1 from x = -3.8 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 1.2 | math | train |
math_algebra_func_area_level_1_1_176 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1sin(1π(-1|x + 1|) + 2) and g(x) = -1|x + 3| + 3 from x = -0.6 to x = 0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.6 | math | train |
math_algebra_func_area_level_1_1_177 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 1(-2sin(2πx + 1)) - 2, g(x) = 5x + 1, x = -0.7, and x = -0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.3 | math | train |
math_algebra_func_area_level_1_1_178 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (3(-1|x - 1| + 3) + 1)/(3(-1|x - 1| + 3) + 2) and g(x) = -1|x - 2| + 2 from x = 3.2 to x = 4.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.4 | math | train |
math_algebra_func_area_level_1_1_179 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -3|(-2x) + 2| - 3, g(x) = -2|x + 3| - 1, x = 0.2, and x = 2.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 6.8 | math | train |
math_algebra_func_area_level_1_1_180 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3(-2x - 4)^2 - 5(-2x - 4) + 2 and g(x) = 1x - 1 from x = -2.4 to x = -0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 6.7 | math | train |
math_algebra_func_area_level_1_1_181 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -2(3cos(1πx - 3) + 3)^2 + 1(3cos(1πx - 3) + 3) + 2 and g(x) = (2x - 3)/(-2x) between the vertical lines x = -3.7 and x = -2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your... | 43.1 | math | train |
math_algebra_func_area_level_1_1_182 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 5(2cos(2πx - 1) - 2) - 5, g(x) = -1x^2 + 2x + 5, x = -3.6, and x = -3.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 4.4 | math | train |
math_algebra_func_area_level_1_1_183 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 2cos(2π((-3x - 3)/(1x + 3)) + 2) + 1 and g(x) = -1x - 2 from x = -3.5 to x = -3.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_184 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = (-1(3e^(-2x) - 3) + 2)/(-2(3e^(-2x) - 3) + 3) and g(x) = -3x + 2 from x = -0.2 to x = 0.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.6 | math | train |
math_algebra_func_area_level_1_1_185 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3(-1x^2 + 4x + 3) - 4 and g(x) = (1x + 3)/(-1x + 2) from x = 2.2 to x = 4.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 27.3 | math | train |
math_algebra_func_area_level_1_1_186 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 3sin(1π(-5x^2 - 3x - 3) - 2) - 3 and g(x) = -2x^2 - 4x - 5 between the vertical lines x = 0.2 and x = 0.30000000000000004. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 0.1 | math | train |
math_algebra_func_area_level_1_1_187 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (2(3sin(1πx) + 3) - 3)/(-1(3sin(1πx) + 3) + 2) and g(x) = -1x + 4 between the vertical lines x = -0.9 and x = -0.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 6.8 | math | train |
math_algebra_func_area_level_1_1_188 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3(5x^2 + 1x - 4)^2 - 3(5x^2 + 1x - 4) + 3 and g(x) = (1x - 1)/(2x - 1) from x = -0.8 to x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 36.9 | math | train |
math_algebra_func_area_level_1_1_189 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -5(-1cos(2πx))^2 - 5(-1cos(2πx)) - 1 and g(x) = 1|x + 2| - 1 from x = -3.2 to x = -3.1. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.0 | math | train |
math_algebra_func_area_level_1_1_190 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 3(-3sin(3πx + 3) - 1)^2 + 3(-3sin(3πx + 3) - 1) + 3, g(x) = -4x^2 - 5x + 2, x = -0.7, and x = -0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.2 | math | train |
math_algebra_func_area_level_1_1_191 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -2|(3e^(1x) - 2) - 1| + 2, g(x) = (-3x + 2)/(3x + 1), x = 0.0, and x = 0.1. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.0 | math | train |
math_algebra_func_area_level_1_1_192 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = -4(3cos(2πx) + 3) - 2, g(x) = 5x + 5, x = -3.3, and x = -2.7. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 6.1 | math | train |
math_algebra_func_area_level_1_1_193 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -3|(3x^2 + 1x - 1)| + 1 and g(x) = -3x^2 - 3x + 2 from x = 0.4 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_194 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = (-2((1x + 1)/(2x + 1)) - 2)/(-3((1x + 1)/(2x + 1)) - 1) and g(x) = (-1x + 2)/(1x - 3) between the vertical lines x = -0.7 and x = 2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\bo... | 4.5 | math | train |
math_algebra_func_area_level_1_1_195 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(-1x + 2) - 2) + 2 and g(x) = -2x + 3 between the vertical lines x = 0.4 and x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.5 | math | train |
math_algebra_func_area_level_1_1_196 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Determine the area of the region enclosed by the graphs of f(x) = 1(5x - 5) + 4 and g(x) = (-1x - 2)/(-3x - 1) between the vertical lines x = -0.5 and x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 10.9 | math | train |
math_algebra_func_area_level_1_1_197 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Find the area of the region bounded by the curves f(x) = 2|(-2|x| + 1) + 3| - 1, g(x) = 3|x - 1| + 1, x = -0.4, and x = 1.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 3.4 | math | train |
math_algebra_func_area_level_1_1_198 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = 1|(-1sin(1πx + 2)) - 2| + 1 and g(x) = 1x^2 - 2x + 4 from x = 1.4 to x = 2.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.1 | math | train |
math_algebra_func_area_level_1_1_199 | algebra_func_area1 | easy (level 1) | 1 | {
"role": [
"user"
],
"content": [
"Calculate the area enclosed between the functions f(x) = -2(2x^2 + 3x - 3)^2 + 5(2x^2 + 3x - 3) - 3 and g(x) = (3x - 2)/(-1x + 2) from x = -2.5 to x = -2.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
]
} | 0.5 | math | train |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.