messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 19x + 1 = 837"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 19x = 836. Divide by 19: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 456 × -909"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 456 by -909: 456 × -909 = -414504.\n</reasoning>\nFinal Answer: -414504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 21, 26, 2, 25, 8, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 21: 1, 26: 1, 2: 1, 25: 1, 8: 1, 91: 1}. Most frequent: [34, 21, 26, 2, 25, 8, 91].\n</reasoning>\nFinal Answer: [34, 21, 26, 2, 25, 8, 91]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 100 = 650.0.\n</reasoning>\nFinal Answer: 650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "156 is what percentage of 400?"
},
{
"role": "assistant",
"content": "<reasoning>\n(156/400) × 100 = 39.0%.\n</reasoning>\nFinal Answer: 39.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 37, 3, 73, 13, 29, 19, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 37: 1, 3: 1, 73: 1, 13: 1, 29: 1, 19: 1, 26: 1}. Most frequent: [97, 37, 3, 73, 13, 29, 19, 26].\n</reasoning>\nFinal Answer: [97, 37, 3,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:17 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/17, so B = A × (17/7) = 31 × 17/7 = 75.2857.\n</reasoning>\nFinal Answer: 75.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 100, 88, 97, 69, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 431/6 = 71.8333.\n</reasoning>\nFinal Answer: 71.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -15 = 257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 16x = 272. Divide by 16: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -43 = 348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 17x = 391. Divide by 17: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 83 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(83+38) = 2×121 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 48 km/h. How far does it travel in 3 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 10/60 = 3.1667 hours. Distance = speed × time = 48 × 3.1667 = 152.0 km.\n</reasoning>\nFinal Answer: 152.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -20 = -119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 3x = -99. Divide by 3: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 83 = 2158.\n</reasoning>\nFinal Answer: 2158"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 185 mod -948"
},
{
"role": "assistant",
"content": "<reasoning>\n185 mod -948: 185 = -948 × -1 + -763, so remainder = -763.\n</reasoning>\nFinal Answer: -763"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 188 and 129."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(188,129) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 18 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 18 = 90 worker-days. New time = 90 / 10 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 439 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 439 × (1 - 70/100) = 439 × 0.30000000000000004 = 131.7.\n</reasoning>\nFinal Answer: 131.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 7, 10, 11, 15, 19] and B = [1, 4, 9, 12, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 6, 7, 10, 11, 15, 19].\n</reasoning>\nFinal Answer: [2, 5, 6, 7, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 29 = 1856.\n</reasoning>\nFinal Answer: 1856"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 15 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 15 = 180 worker-days. New time = 180 / 5 = 36.0 days.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 50 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 36+2500-29=2507.\n</reasoning>\nFinal Answer: 2507"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 92 - 87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 87 from 92: 92 - 87 = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 838 ÷ -228"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 838 by -228. 838 ÷ -228 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 20 = -435"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 13x = -455. Divide by 13: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -5 × 135"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -5 by 135: -5 × 135 = -675.\n</reasoning>\nFinal Answer: -675"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 168 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 168 = 355.\n</reasoning>\nFinal Answer: 355"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 63, 42, 77, 40, 66, 93, 17, 5, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 17, 40, 42, 46, 63, 66, 77, 91, 93]. Middle value(s) → median = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 716 - -368"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -368 from 716: 716 - -368 = 1084.\n</reasoning>\nFinal Answer: 1084"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 40 * 22 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×22=880, then 3+880-16=867.\n</reasoning>\nFinal Answer: 867"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 8 = 206"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 6x = 198. Divide by 6: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -468 - 346"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 346 from -468: -468 - 346 = -814.\n</reasoning>\nFinal Answer: -814"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 9, 39, 1, 63, 29, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 214/7 = 30.5714.\n</reasoning>\nFinal Answer: 30.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 4/12 * 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/12) × (13/9) = (52/108) = 13/27 after simplification.\n</reasoning>\nFinal Answer: 13/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 19 = 721"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 26x = 702. Divide by 26: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 436 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 436 × (1 - 70/100) = 436 × 0.30000000000000004 = 130.8.\n</reasoning>\nFinal Answer: 130.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 174."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 174 by smallest primes repeatedly: 174 = 2 × 3 × 29.\n</reasoning>\nFinal Answer: 2 × 3 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 + 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/19 + 13/1. Common denominator = 19. Result = 251/19.\n</reasoning>\nFinal Answer: 251/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 81 km/h. How far does it travel in 3 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 51/60 = 3.8500 hours. Distance = speed × time = 81 × 3.8500 = 311.85 km.\n</reasoning>\nFinal Answer: 311.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 655 ÷ -445"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 655 by -445. 655 ÷ -445 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 358 km apart. Their speeds are 114 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+80=194 km/h. Time = 358/194 = 1.8454 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 - 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/2 - 3/5. LCD = 5. Result = 27/5.\n</reasoning>\nFinal Answer: 27/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -811 ÷ -214"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -811 by -214. -811 ÷ -214 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 14 + 19 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×14=280 and 19×36=684, then add: 964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:5 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/5, so B = A × (5/37) = 14 × 5/37 = 1.8919.\n</reasoning>\nFinal Answer: 1.8919"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 388 km apart. Their speeds are 118 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+74=192 km/h. Time = 388/192 = 2.0208 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:5 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/5, so B = A × (5/31) = 89 × 5/31 = 14.3548.\n</reasoning>\nFinal Answer: 14.3548"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 + 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/2 + 9/20. Common denominator = 20. Result = 99/20.\n</reasoning>\nFinal Answer: 99/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 45 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 45 × 12 = 540.\n</reasoning>\nFinal Answer: 540"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 - 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/14 - 12/8. LCD = 14. Result = -1/7.\n</reasoning>\nFinal Answer: -1/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 816 + -212"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 816 and -212: 816 + -212 = 604.\n</reasoning>\nFinal Answer: 604"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -12 ÷ -220"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -12 by -220. -12 ÷ -220 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 28 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+28) × 28 = 504.0.\n</reasoning>\nFinal Answer: 504.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 30 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 30 = 570 worker-days. New time = 570 / 19 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -78 × -340"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -78 by -340: -78 × -340 = 26520.\n</reasoning>\nFinal Answer: 26520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:22 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/22, so B = A × (22/23) = 74 × 22/23 = 70.7826.\n</reasoning>\nFinal Answer: 70.7826"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 67 and 93."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(67,93) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 45, 63, 48, 45, 15, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 45, 45, 48, 61, 63, 95]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 - 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/6 - 19/17. LCD = 17. Result = -2/17.\n</reasoning>\nFinal Answer: -2/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 1, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (38-1)×1 = 13 + 37 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -511 + -823"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -511 and -823: -511 + -823 = -1334.\n</reasoning>\nFinal Answer: -1334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3293. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3293 × 5/100 = 164.65. Total = 3293 + 164.65 = 3457.65.\n</reasoning>\nFinal Answer: 3457.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "304 is what percentage of 958?"
},
{
"role": "assistant",
"content": "<reasoning>\n(304/958) × 100 = 31.7328%.\n</reasoning>\nFinal Answer: 31.7328%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-108 = 1296. √discriminant = 36. x = (-(0) ± 36) / (2×3). Solutions: x = 6 or x = -6.\n</reasoning>\nFinal Answer: x = 6 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 20 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 48+400-46=402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (2/9) = (14/36) = 7/18 after simplification.\n</reasoning>\nFinal Answer: 7/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -13 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 1x = 6. Divide by 1: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 20 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 20 = 400 worker-days. New time = 400 / 14 = 28.5714 days.\n</reasoning>\nFinal Answer: 28.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -18 = 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 5x = 70. Divide by 5: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 110 ÷ 434"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 110 by 434. 110 ÷ 434 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 17 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(17,31) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 3 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 3 × 50 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -797 mod -813"
},
{
"role": "assistant",
"content": "<reasoning>\n-797 mod -813: -797 = -813 × 0 + -797, so remainder = -797.\n</reasoning>\nFinal Answer: -797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 95 = 427.5.\n</reasoning>\nFinal Answer: 427.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 15% of 919?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 919 = (15/100) × 919 = 137.85.\n</reasoning>\nFinal Answer: 137.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 27 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 27 = 135 worker-days. New time = 135 / 15 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 * 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/7) × (13/12) = (260/84) = 65/21 after simplification.\n</reasoning>\nFinal Answer: 65/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 50 km/h. How far does it travel in 1 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 6/60 = 1.1000 hours. Distance = speed × time = 50 × 1.1000 = 55.0 km.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 10 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 10 × 63 = 630.\n</reasoning>\nFinal Answer: 630"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 97 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 97 + 139 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 98 = 3871.0.\n</reasoning>\nFinal Answer: 3871.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹434. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 434 × 18/100 = 78.12. Total = 434 + 78.12 = 512.12.\n</reasoning>\nFinal Answer: 512.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 46 = -311"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 17x = -357. Divide by 17: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 6 + 19 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×6=240 and 19×6=114, then add: 354.\n</reasoning>\nFinal Answer: 354"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 96, 90, 77, 47, 37, 91, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 37 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 77, 5, 25, 14, 68, 73, 70, 92, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 460/10 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -15 + 576"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -15 and 576: -15 + 576 = 561.\n</reasoning>\nFinal Answer: 561"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 52 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 52 = 211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 27 = -117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 4x = -144. Divide by 4: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 48) * (42 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+48)=61, (42-14)=28, then 61×28=1708.\n</reasoning>\nFinal Answer: 1708"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 19 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 19 = 285 worker-days. New time = 285 / 14 = 20.3571 days.\n</reasoning>\nFinal Answer: 20.3571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 92, 8, 76, 38, 72, 85, 99, 55, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 38, 49, 49, 55, 72, 76, 85, 92, 99]. Middle value(s) → median = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -925 mod -392"
},
{
"role": "assistant",
"content": "<reasoning>\n-925 mod -392: -925 = -392 × 2 + -141, so remainder = -141.\n</reasoning>\nFinal Answer: -141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 420 - 769"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 769 from 420: 420 - 769 = -349.\n</reasoning>\nFinal Answer: -349"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1074. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1074 × 28/100 = 300.72. Total = 1074 + 300.72 = 1374.72.\n</reasoning>\nFinal Answer: 1374.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "539 is what percentage of 548?"
},
{
"role": "assistant",
"content": "<reasoning>\n(539/548) × 100 = 98.3577%.\n</reasoning>\nFinal Answer: 98.3577%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 / 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/17) ÷ (1/16) = (20/17) × (16/1) = 320/17.\n</reasoning>\nFinal Answer: 320/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 15, 18, 49, 56, 59, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 311/7 = 44.4286.\n</reasoning>\nFinal Answer: 44.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 8, 12, 13, 14, 16, 19] and B = [1, 2, 6, 9, 10, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 8, 9, 10, 12, 13, 16, 18, 19].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 34 = -1310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 28x = -1344. Divide by 28: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
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