messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "72 is what percentage of 159?"
},
{
"role": "assistant",
"content": "<reasoning>\n(72/159) × 100 = 45.283%.\n</reasoning>\nFinal Answer: 45.283%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "135 is what percentage of 867?"
},
{
"role": "assistant",
"content": "<reasoning>\n(135/867) × 100 = 15.5709%.\n</reasoning>\nFinal Answer: 15.5709%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 - 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/15 - 10/17. LCD = 51. Result = 38/51.\n</reasoning>\nFinal Answer: 38/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 12] and B = [2, 3, 7, 9, 13, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 14, 53, 78, 33, 87, 23, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 1 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -975 + -164"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -975 and -164: -975 + -164 = -1139.\n</reasoning>\nFinal Answer: -1139"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 + 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/5 + 13/19. Common denominator = 95. Result = 84/95.\n</reasoning>\nFinal Answer: 84/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:17 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/17, so B = A × (17/36) = 11 × 17/36 = 5.1944.\n</reasoning>\nFinal Answer: 5.1944"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [8, 16, 19] and B = [4, 5, 9, 11, 15, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 8, 9, 11, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [4, 5, 8, 9, 11, 15, 16, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 821 mod -598"
},
{
"role": "assistant",
"content": "<reasoning>\n821 mod -598: 821 = -598 × -2 + -375, so remainder = -375.\n</reasoning>\nFinal Answer: -375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 98 apples and buys 96 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 98 + 96 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 129 km apart. Their speeds are 60 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+108=168 km/h. Time = 129/168 = 0.7679 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:24 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/24, so B = A × (24/10) = 37 × 24/10 = 88.8.\n</reasoning>\nFinal Answer: 88.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 69, 35, 8, 47, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 35, 47, 53, 61, 69]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 - 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/8 - 3/5. LCD = 20. Result = -7/20.\n</reasoning>\nFinal Answer: -7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:35 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/35, so B = A × (35/14) = 84 × 35/14 = 210.0.\n</reasoning>\nFinal Answer: 210.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 25 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 50+625-44=631.\n</reasoning>\nFinal Answer: 631"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:29 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/29, so B = A × (29/31) = 1 × 29/31 = 0.9355.\n</reasoning>\nFinal Answer: 0.9355"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 26 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 3x = -138. Divide by 3: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -563 ÷ 133"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -563 by 133. -563 ÷ 133 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 44, 60, 82, 45, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 44, 44, 45, 60, 82]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 8 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 11/60 = 8.1833 hours. Distance = speed × time = 126 × 8.1833 = 1031.1 km.\n</reasoning>\nFinal Answer: 1031.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (19)x + (90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 19² - 4×1×90 = 1. √discriminant = 1. x = (-(19) ± 1) / (2×1). Solutions: x = -10 or x = -9.\n</reasoning>\nFinal Answer: x = -10 or x = -9"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 16 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 16 = 272 worker-days. New time = 272 / 9 = 30.2222 days.\n</reasoning>\nFinal Answer: 30.2222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 25, 81, 93, 87, 60, 88, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 1, 25: 1, 81: 1, 93: 1, 87: 1, 60: 1, 88: 1, 92: 1}. Most frequent: [84, 25, 81, 93, 87, 60, 88, 92].\n</reasoning>\nFinal Answer: [84, 25,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -31 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 15x = 90. Divide by 15: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -813 - -133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -133 from -813: -813 - -133 = -680.\n</reasoning>\nFinal Answer: -680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -43 = -61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 3x = -18. Divide by 3: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 171 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 171 × (1 - 7/100) = 171 × 0.9299999999999999 = 159.03.\n</reasoning>\nFinal Answer: 159.03"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 9, 52, 55, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 48, 52, 55]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 566 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 566 × (1 - 30/100) = 566 × 0.7 = 396.2.\n</reasoning>\nFinal Answer: 396.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 28 + 3 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×28=924 and 3×20=60, then add: 984.\n</reasoning>\nFinal Answer: 984"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 12% of 11?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 11 = (12/100) × 11 = 1.32.\n</reasoning>\nFinal Answer: 1.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 160 × -249"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 160 by -249: 160 × -249 = -39840.\n</reasoning>\nFinal Answer: -39840"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 455?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 455 = (7/100) × 455 = 31.85.\n</reasoning>\nFinal Answer: 31.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 11) * (50 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+11)=59, (50-17)=33, then 59×33=1947.\n</reasoning>\nFinal Answer: 1947"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 83 ÷ 174"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 83 by 174. 83 ÷ 174 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-30)x + (63) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×3×63 = 144. √discriminant = 12. x = (-(-30) ± 12) / (2×3). Solutions: x = 3 or x = 7.\n</reasoning>\nFinal Answer: x = 3 or x = 7"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "16 is what percentage of 111?"
},
{
"role": "assistant",
"content": "<reasoning>\n(16/111) × 100 = 14.4144%.\n</reasoning>\nFinal Answer: 14.4144%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 865 mod 555"
},
{
"role": "assistant",
"content": "<reasoning>\n865 mod 555: 865 = 555 × 1 + 310, so remainder = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:32 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/32, so B = A × (32/6) = 65 × 32/6 = 346.6667.\n</reasoning>\nFinal Answer: 346.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 132 km apart. Their speeds are 91 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+87=178 km/h. Time = 132/178 = 0.7416 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 747 km apart. Their speeds are 97 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+84=181 km/h. Time = 747/181 = 4.1271 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 33 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 6+1089-21=1074.\n</reasoning>\nFinal Answer: 1074"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 2 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+2) × 7 = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:16 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/16, so B = A × (16/20) = 75 × 16/20 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 + 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/15 + 2/19. Common denominator = 285. Result = 391/285.\n</reasoning>\nFinal Answer: 391/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:3 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/3, so B = A × (3/41) = 54 × 3/41 = 3.9512.\n</reasoning>\nFinal Answer: 3.9512"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 60 = 5160.\n</reasoning>\nFinal Answer: 5160"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 40 = -328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 8x = -368. Divide by 8: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -157 × 60"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -157 by 60: -157 × 60 = -9420.\n</reasoning>\nFinal Answer: -9420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 7 * 37 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×37=259, then 9+259-16=252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -3 = 57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 6x = 60. Divide by 6: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 - 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/1 - 18/9. LCD = 1. Result = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 13, 18, 19] and B = [3, 4, 6, 8, 11, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 78, 59, 72, 25, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 2, 78: 1, 72: 1, 25: 1, 51: 1}. Most frequent: 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 8, 10, 16] and B = [1, 2, 3, 6, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 6, 8, 10, 13, 16].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 6, 8, 10, 13, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 270 ÷ -366"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 270 by -366. 270 ÷ -366 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 17 + 32 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×17=187 and 32×2=64, then add: 251.\n</reasoning>\nFinal Answer: 251"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "17 is what percentage of 922?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/922) × 100 = 1.8438%.\n</reasoning>\nFinal Answer: 1.8438%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 38 = 836.\n</reasoning>\nFinal Answer: 836"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:29 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/29, so B = A × (29/24) = 20 × 29/24 = 24.1667.\n</reasoning>\nFinal Answer: 24.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 5, 54, 17, 68, 44, 5, 76, 42, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 5 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 27 = 189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 6x = 162. Divide by 6: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 312 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 312 × (1 - 12/100) = 312 × 0.88 = 274.56.\n</reasoning>\nFinal Answer: 274.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "329 is what percentage of 610?"
},
{
"role": "assistant",
"content": "<reasoning>\n(329/610) × 100 = 53.9344%.\n</reasoning>\nFinal Answer: 53.9344%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -914 × -248"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -914 by -248: -914 × -248 = 226672.\n</reasoning>\nFinal Answer: 226672"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "737 is what percentage of 768?"
},
{
"role": "assistant",
"content": "<reasoning>\n(737/768) × 100 = 95.9635%.\n</reasoning>\nFinal Answer: 95.9635%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (0)x + (-2) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×2×-2 = 16. √discriminant = 4. x = (-(0) ± 4) / (2×2). Solutions: x = -1 or x = 1.\n</reasoning>\nFinal Answer: x = -1 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 19 * 44 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×44=836, then 10+836-37=809.\n</reasoning>\nFinal Answer: 809"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 19 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+19) × 50 = 900.0.\n</reasoning>\nFinal Answer: 900.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 151 × 405"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 151 by 405: 151 × 405 = 61155.\n</reasoning>\nFinal Answer: 61155"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 13 = 1183.\n</reasoning>\nFinal Answer: 1183"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -30 = -198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 4x = -168. Divide by 4: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 18 = 450"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 18x = 432. Divide by 18: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 17% of 679?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 679 = (17/100) × 679 = 115.43.\n</reasoning>\nFinal Answer: 115.43"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 9, 10, 11, 17] and B = [3, 7, 16, 17, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 7, 9, 10, 11, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 5... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "411 is what percentage of 475?"
},
{
"role": "assistant",
"content": "<reasoning>\n(411/475) × 100 = 86.5263%.\n</reasoning>\nFinal Answer: 86.5263%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -265 + -347"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -265 and -347: -265 + -347 = -612.\n</reasoning>\nFinal Answer: -612"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "377 is what percentage of 523?"
},
{
"role": "assistant",
"content": "<reasoning>\n(377/523) × 100 = 72.0841%.\n</reasoning>\nFinal Answer: 72.0841%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 390 ÷ -917"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 390 by -917. 390 ÷ -917 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹327. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 327 × 5/100 = 16.35. Total = 327 + 16.35 = 343.35.\n</reasoning>\nFinal Answer: 343.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -844 mod -362"
},
{
"role": "assistant",
"content": "<reasoning>\n-844 mod -362: -844 = -362 × 2 + -120, so remainder = -120.\n</reasoning>\nFinal Answer: -120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 76 km/h. How far does it travel in 8 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 52/60 = 8.8667 hours. Distance = speed × time = 76 × 8.8667 = 673.8667 km.\n</reasoning>\nFinal Answer: 673.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30388 at 6% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30388 × 6 × 1 / 100 = 1823.28.\n</reasoning>\nFinal Answer: 1823.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 2 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 9+4-21=-8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 69 = 2967.0.\n</reasoning>\nFinal Answer: 2967.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 33 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 4x = -72. Divide by 4: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 60% of 347?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 347 = (60/100) × 347 = 208.2.\n</reasoning>\nFinal Answer: 208.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -364 - -86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -86 from -364: -364 - -86 = -278.\n</reasoning>\nFinal Answer: -278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 2) * (23 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+2)=3, (23-17)=6, then 3×6=18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -622 mod 551"
},
{
"role": "assistant",
"content": "<reasoning>\n-622 mod 551: -622 = 551 × -2 + 480, so remainder = 480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 40 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 12+1600-17=1595.\n</reasoning>\nFinal Answer: 1595"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×38)/2 = 684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:19 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/19, so B = A × (19/39) = 75 × 19/39 = 36.5385.\n</reasoning>\nFinal Answer: 36.5385"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24474 at 12% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24474 × 12 × 10 / 100 = 29368.8.\n</reasoning>\nFinal Answer: 29368.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -99 - 742"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 742 from -99: -99 - 742 = -841.\n</reasoning>\nFinal Answer: -841"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 28 * 13 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×13=364, then 48+364-2=410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 12, 13, 15, 17, 18] and B = [5, 8, 9, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 7, 8, 9, 11, 12, 13, 14, 15, 17].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 32 = 982"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 19x = 950. Divide by 19: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
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