messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -634 - 667"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 667 from -634: -634 - 667 = -1301.\n</reasoning>\nFinal Answer: -1301"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 226 km apart. Their speeds are 60 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+63=123 km/h. Time = 226/123 = 1.8374 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 956 mod -997"
},
{
"role": "assistant",
"content": "<reasoning>\n956 mod -997: 956 = -997 × -1 + -41, so remainder = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -806 ÷ 794"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -806 by 794. -806 ÷ 794 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 - 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/7 - 10/1. LCD = 7. Result = -50/7.\n</reasoning>\nFinal Answer: -50/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 22 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 22 + 159 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 468 + -298"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 468 and -298: 468 + -298 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 158 + -498"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 158 and -498: 158 + -498 = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -8 = -652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 14x = -644. Divide by 14: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 766 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 766 × (1 + 75/100) = 766 × 1.75 = 1340.5.\n</reasoning>\nFinal Answer: 1340.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 86, 47, 89, 64, 26, 30, 6, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 26, 30, 38, 47, 64, 86, 89, 97]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -602 - -953"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -953 from -602: -602 - -953 = 351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -517 + 802"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -517 and 802: -517 + 802 = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 780 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 780 × (1 - 7/100) = 780 × 0.9299999999999999 = 725.4.\n</reasoning>\nFinal Answer: 725.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 549 × 763"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 549 by 763: 549 × 763 = 418887.\n</reasoning>\nFinal Answer: 418887"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×44)/2 = 660.\n</reasoning>\nFinal Answer: 660"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 / 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/5) ÷ (2/2) = (18/5) × (2/2) = 18/5.\n</reasoning>\nFinal Answer: 18/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -525 ÷ 296"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -525 by 296. -525 ÷ 296 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 631 - 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 71 from 631: 631 - 71 = 560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 14 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 14 = 126 worker-days. New time = 126 / 18 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 65 apples and buys 200 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 65 + 200 = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:7 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/7, so B = A × (7/20) = 51 × 7/20 = 17.85.\n</reasoning>\nFinal Answer: 17.85"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 22 = 1738.\n</reasoning>\nFinal Answer: 1738"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 46, 82, 32, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 45, 46, 82, 94]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 73, 69, 80, 88, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 405/6 = 67.5.\n</reasoning>\nFinal Answer: 67.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "7 is what percentage of 28?"
},
{
"role": "assistant",
"content": "<reasoning>\n(7/28) × 100 = 25.0%.\n</reasoning>\nFinal Answer: 25.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 21) * (44 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+21)=35, (44-21)=23, then 35×23=805.\n</reasoning>\nFinal Answer: 805"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:20 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/20, so B = A × (20/6) = 17 × 20/6 = 56.6667.\n</reasoning>\nFinal Answer: 56.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47858 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47858 × 16 × 2 / 100 = 15314.56.\n</reasoning>\nFinal Answer: 15314.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×31)/1 = 1178.\n</reasoning>\nFinal Answer: 1178"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -943 mod -120"
},
{
"role": "assistant",
"content": "<reasoning>\n-943 mod -120: -943 = -120 × 7 + -103, so remainder = -103.\n</reasoning>\nFinal Answer: -103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 - 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/12 - 12/4. LCD = 12. Result = -17/12.\n</reasoning>\nFinal Answer: -17/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 - 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/4 - 9/8. LCD = 8. Result = 29/8.\n</reasoning>\nFinal Answer: 29/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 53 = 79.5.\n</reasoning>\nFinal Answer: 79.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 + 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/15 + 1/7. Common denominator = 105. Result = 43/105.\n</reasoning>\nFinal Answer: 43/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 is what percentage of 14?"
},
{
"role": "assistant",
"content": "<reasoning>\n(5/14) × 100 = 35.7143%.\n</reasoning>\nFinal Answer: 35.7143%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 46 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(46+48) = 2×94 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 49 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 3x = -36. Divide by 3: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 4) * (5 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+4)=51, (5-12)=-7, then 51×-7=-357.\n</reasoning>\nFinal Answer: -357"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+36) = 2×50 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 58, 87, 64, 88, 68, 82, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 596/8 = 74.5.\n</reasoning>\nFinal Answer: 74.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 19, 90, 31, 81, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 31, 39, 81, 90, 96]. Middle value(s) → median = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 14 = -850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 24x = -864. Divide by 24: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 547 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 547 × (1 - 75/100) = 547 × 0.25 = 136.75.\n</reasoning>\nFinal Answer: 136.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 477 km apart. Their speeds are 92 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+111=203 km/h. Time = 477/203 = 2.3498 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [4, 6, 8, 10, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 4 and common difference 2. Next term = 12 + 2 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 6 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 19+36-8=47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44466 at 11% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44466 × 11 × 1 / 100 = 4891.26.\n</reasoning>\nFinal Answer: 4891.26"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 12 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 12 = 240 worker-days. New time = 240 / 10 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 21 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 48+441-38=451.\n</reasoning>\nFinal Answer: 451"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 14 = -241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 15x = -255. Divide by 15: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [9, 10, 19] and B = [1, 5, 10, 12, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 9, 10, 12, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 5, 9, 10, 12, 16, 17, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹4782. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4782 × 18/100 = 860.76. Total = 4782 + 860.76 = 5642.76.\n</reasoning>\nFinal Answer: 5642.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 8, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (23-1)×8 = 39 + 176 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -322 - -216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -216 from -322: -322 - -216 = -106.\n</reasoning>\nFinal Answer: -106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 341 km apart. Their speeds are 109 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+47=156 km/h. Time = 341/156 = 2.1859 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 23 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(23+7) = 2×30 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 22 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 22 = 308 worker-days. New time = 308 / 5 = 61.6 days.\n</reasoning>\nFinal Answer: 61.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2190. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2190 × 28/100 = 613.2. Total = 2190 + 613.2 = 2803.2.\n</reasoning>\nFinal Answer: 2803.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -46 = 467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 19x = 513. Divide by 19: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:17 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/17, so B = A × (17/20) = 92 × 17/20 = 78.2.\n</reasoning>\nFinal Answer: 78.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 * 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/7) × (16/6) = (80/42) = 40/21 after simplification.\n</reasoning>\nFinal Answer: 40/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 20 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 11x = -187. Divide by 11: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 517 - -635"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -635 from 517: 517 - -635 = 1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 431 ÷ -752"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 431 by -752. 431 ÷ -752 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 34) * (4 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+34)=78, (4-37)=-33, then 78×-33=-2574.\n</reasoning>\nFinal Answer: -2574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 12 + 38 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×12=168 and 38×48=1824, then add: 1992.\n</reasoning>\nFinal Answer: 1992"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -867 + 769"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -867 and 769: -867 + 769 = -98.\n</reasoning>\nFinal Answer: -98"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:5 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/5, so B = A × (5/42) = 25 × 5/42 = 2.9762.\n</reasoning>\nFinal Answer: 2.9762"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -64 - 690"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 690 from -64: -64 - 690 = -754.\n</reasoning>\nFinal Answer: -754"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 91, 59, 39, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [39, 40, 53, 59, 91]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (3)x + (-18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×1×-18 = 81. √discriminant = 9. x = (-(3) ± 9) / (2×1). Solutions: x = -6 or x = 3.\n</reasoning>\nFinal Answer: x = -6 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the range of: [75, 39, 42, 95, 94, 19, 12, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 12 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -15 = -799"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 28x = -784. Divide by 28: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -32 - -512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -512 from -32: -32 - -512 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 25, 29, 33, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 4. Next term = 37 + 4 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 13 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 13 = 104 worker-days. New time = 104 / 2 = 52.0 days.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 40 = 560.0.\n</reasoning>\nFinal Answer: 560.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 47 + 28 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×47=658 and 28×26=728, then add: 1386.\n</reasoning>\nFinal Answer: 1386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 914 mod -249"
},
{
"role": "assistant",
"content": "<reasoning>\n914 mod -249: 914 = -249 × -4 + -82, so remainder = -82.\n</reasoning>\nFinal Answer: -82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -834 - 958"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 958 from -834: -834 - 958 = -1792.\n</reasoning>\nFinal Answer: -1792"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37668 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37668 × 9 × 2 / 100 = 6780.24.\n</reasoning>\nFinal Answer: 6780.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -753 ÷ -783"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -753 by -783. -753 ÷ -783 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4322. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4322 × 5/100 = 216.1. Total = 4322 + 216.1 = 4538.1.\n</reasoning>\nFinal Answer: 4538.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 8, 9, 11, 14, 15] and B = [2, 6, 13, 14, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 6, 8, 9, 11, 13, 14, 15, 17].\n</reasoning>\nFinal Answer: [1, 2, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 / 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/17) ÷ (8/12) = (12/17) × (12/8) = 18/17.\n</reasoning>\nFinal Answer: 18/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 * 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/18) × (5/11) = (15/198) = 5/66 after simplification.\n</reasoning>\nFinal Answer: 5/66"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -494 mod 135"
},
{
"role": "assistant",
"content": "<reasoning>\n-494 mod 135: -494 = 135 × -4 + 46, so remainder = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:32 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/32, so B = A × (32/3) = 66 × 32/3 = 704.0.\n</reasoning>\nFinal Answer: 704.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:47 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/47, so B = A × (47/4) = 81 × 47/4 = 951.75.\n</reasoning>\nFinal Answer: 951.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31737 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31737 × 1 × 7 / 100 = 2221.59.\n</reasoning>\nFinal Answer: 2221.59"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 43 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 43 + 8 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -993 mod -931"
},
{
"role": "assistant",
"content": "<reasoning>\n-993 mod -931: -993 = -931 × 1 + -62, so remainder = -62.\n</reasoning>\nFinal Answer: -62"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23908 at 20% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23908 × 20 × 6 / 100 = 28689.6.\n</reasoning>\nFinal Answer: 28689.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -84 - -302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -302 from -84: -84 - -302 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×25)/1 = 700.\n</reasoning>\nFinal Answer: 700"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 + 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/20 + 16/19. Common denominator = 380. Result = 377/380.\n</reasoning>\nFinal Answer: 377/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 73, 87, 57, 70, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 73: 1, 87: 1, 57: 1, 70: 1, 62: 1}. Most frequent: [23, 73, 87, 57, 70, 62].\n</reasoning>\nFinal Answer: [23, 73, 87, 57, 70, 62]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 503 mod 332"
},
{
"role": "assistant",
"content": "<reasoning>\n503 mod 332: 503 = 332 × 1 + 171, so remainder = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 695 × -151"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 695 by -151: 695 × -151 = -104945.\n</reasoning>\nFinal Answer: -104945"
}
] | medium | [
"arithmetic",
"computation"
] |
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