messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 878 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 878 × (1 + 80/100) = 878 × 1.8 = 1580.4.\n</reasoning>\nFinal Answer: 1580.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -41 = -932"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 27x = -891. Divide by 27: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 - 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/12 - 1/8. LCD = 24. Result = 1/24.\n</reasoning>\nFinal Answer: 1/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 27 = -545"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 22x = -572. Divide by 22: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -13 = 273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 11x = 286. Divide by 11: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 8, 12, 17] and B = [2, 10, 14, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 34 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(34+37) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 12, 15, 16, 18] and B = [1, 5, 10, 16, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 6, 8, 10, 12, 15, 17, 18, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 24 * 16 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×16=384, then 43+384-31=396.\n</reasoning>\nFinal Answer: 396"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 11 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(11+74) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 44 * 15 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×15=660, then 14+660-32=642.\n</reasoning>\nFinal Answer: 642"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 945 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 945 × (1 + 3/100) = 945 × 1.03 = 973.35.\n</reasoning>\nFinal Answer: 973.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 237 × 359"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 237 by 359: 237 × 359 = 85083.\n</reasoning>\nFinal Answer: 85083"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -258 mod -798"
},
{
"role": "assistant",
"content": "<reasoning>\n-258 mod -798: -258 = -798 × 0 + -258, so remainder = -258.\n</reasoning>\nFinal Answer: -258"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 / 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/11) ÷ (20/20) = (10/11) × (20/20) = 10/11.\n</reasoning>\nFinal Answer: 10/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 11 and 161."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(11,161) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -669 mod -340"
},
{
"role": "assistant",
"content": "<reasoning>\n-669 mod -340: -669 = -340 × 1 + -329, so remainder = -329.\n</reasoning>\nFinal Answer: -329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -633 - -944"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -944 from -633: -633 - -944 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 29 = 638"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 29x = 609. Divide by 29: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 9, 58, 88, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 31, 58, 88, 92]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 109 apples and buys 196 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 109 + 196 = 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 506 - -353"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -353 from 506: 506 - -353 = 859.\n</reasoning>\nFinal Answer: 859"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:38 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/38, so B = A × (38/21) = 8 × 38/21 = 14.4762.\n</reasoning>\nFinal Answer: 14.4762"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 10% of 473?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 473 = (10/100) × 473 = 47.3.\n</reasoning>\nFinal Answer: 47.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 242 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 242 × (1 + 75/100) = 242 × 1.75 = 423.5.\n</reasoning>\nFinal Answer: 423.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 29 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 29 = 174 worker-days. New time = 174 / 12 = 14.5 days.\n</reasoning>\nFinal Answer: 14.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 61, 37, 47, 52, 18, 62, 28, 83, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 8 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 10 = 901"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 27x = 891. Divide by 27: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:44 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/44, so B = A × (44/40) = 13 × 44/40 = 14.3.\n</reasoning>\nFinal Answer: 14.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 2) * (16 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+2)=24, (16-41)=-25, then 24×-25=-600.\n</reasoning>\nFinal Answer: -600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -653 × 962"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -653 by 962: -653 × 962 = -628186.\n</reasoning>\nFinal Answer: -628186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 488."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 488 by smallest primes repeatedly: 488 = 2 × 2 × 2 × 61.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 61"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -47 = -714"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 23x = -667. Divide by 23: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -412 × -380"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -412 by -380: -412 × -380 = 156560.\n</reasoning>\nFinal Answer: 156560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 34 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 34 × 4 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 81 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 81 × 28 = 2268.\n</reasoning>\nFinal Answer: 2268"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 4, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (38-1)×4 = 2 + 148 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 538 × -640"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 538 by -640: 538 × -640 = -344320.\n</reasoning>\nFinal Answer: -344320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 10, 11, 12] and B = [1, 2, 4, 6, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4].\n</reasoning>\nFinal Answer: [4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 85, 8, 44, 11, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 263/6 = 43.8333.\n</reasoning>\nFinal Answer: 43.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 36 * 45 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×45=1620, then 50+1620-21=1649.\n</reasoning>\nFinal Answer: 1649"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 34, 63, 55, 54, 71, 39, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 361/8 = 45.125.\n</reasoning>\nFinal Answer: 45.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 8, 13, 15, 17, 19] and B = [3, 5, 6, 9, 16, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 6, 7, 8, 9, 13, 15, 16, 18, 19].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 36, 52, 32, 14, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 32, 36, 52, 66, 93]. Middle value(s) → median = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 * 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/16) × (17/14) = (153/224) = 153/224 after simplification.\n</reasoning>\nFinal Answer: 153/224"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 19 + 22 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×19=855 and 22×45=990, then add: 1845.\n</reasoning>\nFinal Answer: 1845"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 37) * (48 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+37)=49, (48-40)=8, then 49×8=392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "136 is what percentage of 377?"
},
{
"role": "assistant",
"content": "<reasoning>\n(136/377) × 100 = 36.0743%.\n</reasoning>\nFinal Answer: 36.0743%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 19 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 19 = 190 worker-days. New time = 190 / 3 = 63.3333 days.\n</reasoning>\nFinal Answer: 63.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 27 * 4 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×4=108, then 22+108-43=87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 - 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/1 - 6/8. LCD = 4. Result = 61/4.\n</reasoning>\nFinal Answer: 61/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "34 is what percentage of 336?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/336) × 100 = 10.119%.\n</reasoning>\nFinal Answer: 10.119%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 - 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/20 - 3/19. LCD = 95. Result = 4/95.\n</reasoning>\nFinal Answer: 4/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 33, 50, 67, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 17. Next term = 84 + 17 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 12 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 12 = 240 worker-days. New time = 240 / 7 = 34.2857 days.\n</reasoning>\nFinal Answer: 34.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 - 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/18 - 19/16. LCD = 48. Result = -25/48.\n</reasoning>\nFinal Answer: -25/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38287 at 20% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38287 × 20 × 6 / 100 = 45944.4.\n</reasoning>\nFinal Answer: 45944.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39403 at 18% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39403 × 18 × 7 / 100 = 49647.78.\n</reasoning>\nFinal Answer: 49647.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "174 is what percentage of 478?"
},
{
"role": "assistant",
"content": "<reasoning>\n(174/478) × 100 = 36.4017%.\n</reasoning>\nFinal Answer: 36.4017%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:40 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/40, so B = A × (40/6) = 96 × 40/6 = 640.0.\n</reasoning>\nFinal Answer: 640.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 107 mod -84"
},
{
"role": "assistant",
"content": "<reasoning>\n107 mod -84: 107 = -84 × -2 + -61, so remainder = -61.\n</reasoning>\nFinal Answer: -61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -42 = -617"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 23x = -575. Divide by 23: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 11, 12, 14, 18] and B = [5, 6, 9, 10, 11, 13, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 914 × -968"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 914 by -968: 914 × -968 = -884752.\n</reasoning>\nFinal Answer: -884752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 5 = -420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 25x = -425. Divide by 25: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -7 = -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 5x = -100. Divide by 5: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 839 - 563"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 563 from 839: 839 - 563 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20619 at 4% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20619 × 4 × 6 / 100 = 4948.56.\n</reasoning>\nFinal Answer: 4948.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -249 × 317"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -249 by 317: -249 × 317 = -78933.\n</reasoning>\nFinal Answer: -78933"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 2 = 578"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 16x = 576. Divide by 16: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -669 mod 838"
},
{
"role": "assistant",
"content": "<reasoning>\n-669 mod 838: -669 = 838 × -1 + 169, so remainder = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 57 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 57 × 87 = 4959.\n</reasoning>\nFinal Answer: 4959"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [55, 6, 60, 30, 38, 35, 12, 17, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 60 - 6 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 * 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/18) × (9/6) = (144/108) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 168 - -885"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -885 from 168: 168 - -885 = 1053.\n</reasoning>\nFinal Answer: 1053"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 829 + -688"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 829 and -688: 829 + -688 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -717 mod 32"
},
{
"role": "assistant",
"content": "<reasoning>\n-717 mod 32: -717 = 32 × -23 + 19, so remainder = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 376 - -427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -427 from 376: 376 - -427 = 803.\n</reasoning>\nFinal Answer: 803"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 170?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 170 = (100/100) × 170 = 170.0.\n</reasoning>\nFinal Answer: 170.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 8 * 41 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×41=328, then 49+328-3=374.\n</reasoning>\nFinal Answer: 374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 467."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 467 by smallest primes repeatedly: 467 = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -577 mod 925"
},
{
"role": "assistant",
"content": "<reasoning>\n-577 mod 925: -577 = 925 × -1 + 348, so remainder = 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 445 km apart. Their speeds are 108 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+99=207 km/h. Time = 445/207 = 2.1498 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -44 = -25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 19x = 19. Divide by 19: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -709 × -866"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -709 by -866: -709 × -866 = 613994.\n</reasoning>\nFinal Answer: 613994"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×26)/1 = 858.\n</reasoning>\nFinal Answer: 858"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 29 = 477"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 14x = 448. Divide by 14: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -29 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 25x = -75. Divide by 25: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 7, 9, 10, 17] and B = [12, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 6, 7, 9, 10, 17].\n</reasoning>\nFinal Answer: [2, 5, 6, 7, 9, 10, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-15)x + (18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×3×18 = 9. √discriminant = 3. x = (-(-15) ± 3) / (2×3). Solutions: x = 2 or x = 3.\n</reasoning>\nFinal Answer: x = 2 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 125 km/h. How far does it travel in 3 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 33/60 = 3.5500 hours. Distance = speed × time = 125 × 3.5500 = 443.75 km.\n</reasoning>\nFinal Answer: 443.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 35 = 1347.5.\n</reasoning>\nFinal Answer: 1347.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×32)/1 = 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 123 km apart. Their speeds are 41 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+101=142 km/h. Time = 123/142 = 0.8662 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:24 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/24, so B = A × (24/15) = 78 × 24/15 = 124.8.\n</reasoning>\nFinal Answer: 124.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 17 = 1042"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 25x = 1025. Divide by 25: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 67?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 67 = (10/100) × 67 = 6.7.\n</reasoning>\nFinal Answer: 6.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 815 km apart. Their speeds are 44 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+62=106 km/h. Time = 815/106 = 7.6887 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 / 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/10) ÷ (6/16) = (13/10) × (16/6) = 52/15.\n</reasoning>\nFinal Answer: 52/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31186 at 2% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31186 × 2 × 10 / 100 = 6237.2.\n</reasoning>\nFinal Answer: 6237.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
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