messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 40% of 907?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 907 = (40/100) × 907 = 362.8.\n</reasoning>\nFinal Answer: 362.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "109 is what percentage of 255?"
},
{
"role": "assistant",
"content": "<reasoning>\n(109/255) × 100 = 42.7451%.\n</reasoning>\nFinal Answer: 42.7451%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15741 at 13% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15741 × 13 × 3 / 100 = 6138.99.\n</reasoning>\nFinal Answer: 6138.99"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 3 = 111.0.\n</reasoning>\nFinal Answer: 111.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:7 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/7, so B = A × (7/20) = 4 × 7/20 = 1.4.\n</reasoning>\nFinal Answer: 1.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (14)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 14² - 4×2×20 = 36. √discriminant = 6. x = (-(14) ± 6) / (2×2). Solutions: x = -2 or x = -5.\n</reasoning>\nFinal Answer: x = -2 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 19 = 1121.\n</reasoning>\nFinal Answer: 1121"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1607. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1607 × 12/100 = 192.84. Total = 1607 + 192.84 = 1799.84.\n</reasoning>\nFinal Answer: 1799.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 24 = 2328.\n</reasoning>\nFinal Answer: 2328"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -43 = -329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 13x = -286. Divide by 13: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 45) * (22 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+45)=59, (22-22)=0, then 59×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "597 is what percentage of 994?"
},
{
"role": "assistant",
"content": "<reasoning>\n(597/994) × 100 = 60.0604%.\n</reasoning>\nFinal Answer: 60.0604%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 100 = 7700.\n</reasoning>\nFinal Answer: 7700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 90 mod 439"
},
{
"role": "assistant",
"content": "<reasoning>\n90 mod 439: 90 = 439 × 0 + 90, so remainder = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 328 mod -808"
},
{
"role": "assistant",
"content": "<reasoning>\n328 mod -808: 328 = -808 × -1 + -480, so remainder = -480.\n</reasoning>\nFinal Answer: -480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 22 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 22 = 198 worker-days. New time = 198 / 4 = 49.5 days.\n</reasoning>\nFinal Answer: 49.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 6 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 6 = 78 worker-days. New time = 78 / 8 = 9.75 days.\n</reasoning>\nFinal Answer: 9.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 20 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 20 = 260 worker-days. New time = 260 / 10 = 26.0 days.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -273 ÷ -640"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -273 by -640. -273 ÷ -640 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 19 = 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 6x = 54. Divide by 6: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 15 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 18+225-33=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 16 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+16) × 23 = 678.5.\n</reasoning>\nFinal Answer: 678.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 35 = -109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 24x = -144. Divide by 24: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 43 + 42 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×43=1849 and 42×42=1764, then add: 3613.\n</reasoning>\nFinal Answer: 3613"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 31 = 171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 14x = 140. Divide by 14: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 600 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 600 × (1 + 60/100) = 600 × 1.6 = 960.0.\n</reasoning>\nFinal Answer: 960.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -16 = 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 3x = 72. Divide by 3: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -41 = -489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 28x = -448. Divide by 28: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-2)x + (-3) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×1×-3 = 16. √discriminant = 4. x = (-(-2) ± 4) / (2×1). Solutions: x = -1 or x = 3.\n</reasoning>\nFinal Answer: x = -1 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "446 is what percentage of 913?"
},
{
"role": "assistant",
"content": "<reasoning>\n(446/913) × 100 = 48.8499%.\n</reasoning>\nFinal Answer: 48.8499%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 65 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 65 + 89 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 254 × -449"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 254 by -449: 254 × -449 = -114046.\n</reasoning>\nFinal Answer: -114046"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 / 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/3) ÷ (14/17) = (6/3) × (17/14) = 17/7.\n</reasoning>\nFinal Answer: 17/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "116 is what percentage of 490?"
},
{
"role": "assistant",
"content": "<reasoning>\n(116/490) × 100 = 23.6735%.\n</reasoning>\nFinal Answer: 23.6735%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 33 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(33+49) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -445 + -112"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -445 and -112: -445 + -112 = -557.\n</reasoning>\nFinal Answer: -557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 23, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 23 + 28 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+13) = 2×105 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 99 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(99+83) = 2×182 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 8, 14, 15, 17] and B = [5, 6, 7, 8, 11, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 14, 15, 17].\n</reasoning>\nFinal Answer: [2, 4, 14, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 92, 43, 64, 21, 54, 34, 11, 1, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 92: 1, 43: 1, 64: 1, 21: 1, 54: 1, 34: 1, 11: 1, 1: 1, 37: 1}. Most frequent: [96, 92, 43, 64, 21, 54, 34, 11, 1, 37].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 10 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 34/60 = 10.5667 hours. Distance = speed × time = 69 × 10.5667 = 729.1 km.\n</reasoning>\nFinal Answer: 729.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 43 = 1247.0.\n</reasoning>\nFinal Answer: 1247.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 8, 11] and B = [1, 4, 6, 7, 15, 16, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 6, 7, 8, 11, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 6, 7... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 3 = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28001 at 13% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28001 × 13 × 6 / 100 = 21840.78.\n</reasoning>\nFinal Answer: 21840.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 390 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 390 × (1 + 100/100) = 390 × 2.0 = 780.0.\n</reasoning>\nFinal Answer: 780.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 3 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+3) × 23 = 172.5.\n</reasoning>\nFinal Answer: 172.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 737 + 825"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 737 and 825: 737 + 825 = 1562.\n</reasoning>\nFinal Answer: 1562"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -334 ÷ 29"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -334 by 29. -334 ÷ 29 = -12 (integer division).\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 31 + 4 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×31=589 and 4×30=120, then add: 709.\n</reasoning>\nFinal Answer: 709"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 186 × 748"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 186 by 748: 186 × 748 = 139128.\n</reasoning>\nFinal Answer: 139128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1777. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1777 × 18/100 = 319.86. Total = 1777 + 319.86 = 2096.86.\n</reasoning>\nFinal Answer: 2096.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:36 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/36, so B = A × (36/2) = 81 × 36/2 = 1458.0.\n</reasoning>\nFinal Answer: 1458.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -91 + 725"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -91 and 725: -91 + 725 = 634.\n</reasoning>\nFinal Answer: 634"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 13, 14, 16] and B = [1, 4, 5, 10, 12, 14, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 10, 12, 13, 14, 16, 17].\n</reasoning>\nFinal Answer: [1, 4, 5, 10, 12... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 224 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 224 × (1 + 60/100) = 224 × 1.6 = 358.4.\n</reasoning>\nFinal Answer: 358.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 19, 57, 38, 76, 53, 41, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 38, 41, 53, 57, 61, 63, 76]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 45, 25, 56, 79, 76, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 25 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:26 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/26, so B = A × (26/24) = 52 × 26/24 = 56.3333.\n</reasoning>\nFinal Answer: 56.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 946 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 946 × (1 + 25/100) = 946 × 1.25 = 1182.5.\n</reasoning>\nFinal Answer: 1182.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 / 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/14) ÷ (17/1) = (6/14) × (1/17) = 3/119.\n</reasoning>\nFinal Answer: 3/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -21 = -1295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 26x = -1274. Divide by 26: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 39 = 495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 24x = 456. Divide by 24: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 39, 93, 67, 17, 85, 21, 1, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 17, 17, 21, 28, 39, 67, 85, 93]. Middle value(s) → median = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -44 = 836"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 22x = 880. Divide by 22: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 657 mod -399"
},
{
"role": "assistant",
"content": "<reasoning>\n657 mod -399: 657 = -399 × -2 + -141, so remainder = -141.\n</reasoning>\nFinal Answer: -141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 8 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 27/60 = 8.4500 hours. Distance = speed × time = 126 × 8.4500 = 1064.7 km.\n</reasoning>\nFinal Answer: 1064.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -912 mod 441"
},
{
"role": "assistant",
"content": "<reasoning>\n-912 mod 441: -912 = 441 × -3 + 411, so remainder = 411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 972 mod -640"
},
{
"role": "assistant",
"content": "<reasoning>\n972 mod -640: 972 = -640 × -2 + -308, so remainder = -308.\n</reasoning>\nFinal Answer: -308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 10 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 10 = 180 worker-days. New time = 180 / 18 = 10.0 days.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -12 = 183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 15x = 195. Divide by 15: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 6 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 6 = 30 worker-days. New time = 30 / 14 = 2.1429 days.\n</reasoning>\nFinal Answer: 2.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 19 = 1027"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 28x = 1008. Divide by 28: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 71, 64, 83, 84, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 392/6 = 65.3333.\n</reasoning>\nFinal Answer: 65.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 2 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 6/60 = 2.1000 hours. Distance = speed × time = 105 × 2.1000 = 220.5 km.\n</reasoning>\nFinal Answer: 220.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "65 is what percentage of 394?"
},
{
"role": "assistant",
"content": "<reasoning>\n(65/394) × 100 = 16.4975%.\n</reasoning>\nFinal Answer: 16.4975%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 20 = -82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 17x = -102. Divide by 17: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 3 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 20+9-24=5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 6, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (42-1)×6 = 32 + 246 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -34 = 155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 27x = 189. Divide by 27: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -869 + -217"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -869 and -217: -869 + -217 = -1086.\n</reasoning>\nFinal Answer: -1086"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 55 = 2530.0.\n</reasoning>\nFinal Answer: 2530.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 11) * (6 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+11)=13, (6-13)=-7, then 13×-7=-91.\n</reasoning>\nFinal Answer: -91"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 / 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/11) ÷ (15/1) = (1/11) × (1/15) = 1/165.\n</reasoning>\nFinal Answer: 1/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 646 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 646 × (1 - 20/100) = 646 × 0.8 = 516.8.\n</reasoning>\nFinal Answer: 516.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "174 is what percentage of 319?"
},
{
"role": "assistant",
"content": "<reasoning>\n(174/319) × 100 = 54.5455%.\n</reasoning>\nFinal Answer: 54.5455%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:16 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/16, so B = A × (16/27) = 98 × 16/27 = 58.0741.\n</reasoning>\nFinal Answer: 58.0741"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 9 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+9) × 35 = 1015.0.\n</reasoning>\nFinal Answer: 1015.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:28 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/28, so B = A × (28/5) = 50 × 28/5 = 280.0.\n</reasoning>\nFinal Answer: 280.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -859 ÷ 891"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -859 by 891. -859 ÷ 891 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 98 km/h. How far does it travel in 4 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 21/60 = 4.3500 hours. Distance = speed × time = 98 × 4.3500 = 426.3 km.\n</reasoning>\nFinal Answer: 426.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 75, 54, 2, 14, 72, 30, 37, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 382/9 = 42.4444.\n</reasoning>\nFinal Answer: 42.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 27 + 44 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×27=729 and 44×24=1056, then add: 1785.\n</reasoning>\nFinal Answer: 1785"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 86, 32, 7, 7, 42, 36, 36, 16, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 363/10 = 36.3.\n</reasoning>\nFinal Answer: 36.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 269 × 232"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 269 by 232: 269 × 232 = 62408.\n</reasoning>\nFinal Answer: 62408"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -950 - -848"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -848 from -950: -950 - -848 = -102.\n</reasoning>\nFinal Answer: -102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 20 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 26x = -26. Divide by 26: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 114 + -828"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 114 and -828: 114 + -828 = -714.\n</reasoning>\nFinal Answer: -714"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [48, 65, 82, 99, 116]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 48 and common difference 17. Next term = 116 + 17 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.