messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the prime factorization of 431."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 431 by smallest primes repeatedly: 431 = 431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "A train travels at 75 km/h. How far does it travel in 5 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 27/60 = 5.4500 hours. Distance = speed × time = 75 × 5.4500 = 408.75 km.\n</reasoning>\nFinal Answer: 408.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -154 × -159"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -154 by -159: -154 × -159 = 24486.\n</reasoning>\nFinal Answer: 24486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -549 + -242"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -549 and -242: -549 + -242 = -791.\n</reasoning>\nFinal Answer: -791"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 12, and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 12 + 15 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹2001. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2001 × 12/100 = 240.12. Total = 2001 + 240.12 = 2241.12.\n</reasoning>\nFinal Answer: 2241.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 360 + -491"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 360 and -491: 360 + -491 = -131.\n</reasoning>\nFinal Answer: -131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 - 2/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/6 - 2/17. LCD = 51. Result = 113/51.\n</reasoning>\nFinal Answer: 113/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 12, 13, 19] and B = [1, 7, 8, 9, 10, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 7, 9, 10, 12, 13, 18, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:49 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/49, so B = A × (49/10) = 86 × 49/10 = 421.4.\n</reasoning>\nFinal Answer: 421.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 64 and 63."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,63) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 18, 71, 7, 74, 77, 61, 29, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 7 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 5 * 6 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×6=30, then 20+30-12=38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 - 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/18 - 1/2. LCD = 2. Result = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23490 at 10% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23490 × 10 × 3 / 100 = 7047.0.\n</reasoning>\nFinal Answer: 7047.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -598 + 20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -598 and 20: -598 + 20 = -578.\n</reasoning>\nFinal Answer: -578"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 27, 50, 77, 49, 12, 52, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 337/8 = 42.125.\n</reasoning>\nFinal Answer: 42.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 16/2 * 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/2) × (5/1) = (80/2) = 40 after simplification.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 10 * 26 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×26=260, then 28+260-39=249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -851 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from -851: -851 - 47 = -898.\n</reasoning>\nFinal Answer: -898"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [90, 2, 89, 90, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {90: 2, 2: 1, 89: 1, 73: 1}. Most frequent: 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 508 mod -534"
},
{
"role": "assistant",
"content": "<reasoning>\n508 mod -534: 508 = -534 × -1 + -26, so remainder = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 946 ÷ -993"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 946 by -993. 946 ÷ -993 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -890 mod -609"
},
{
"role": "assistant",
"content": "<reasoning>\n-890 mod -609: -890 = -609 × 1 + -281, so remainder = -281.\n</reasoning>\nFinal Answer: -281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 898 ÷ -27"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 898 by -27. 898 ÷ -27 = -34 (integer division).\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 212 mod 258"
},
{
"role": "assistant",
"content": "<reasoning>\n212 mod 258: 212 = 258 × 0 + 212, so remainder = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 997 km apart. Their speeds are 101 km/h and 106 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+106=207 km/h. Time = 997/207 = 4.8164 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 * 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/7) × (10/13) = (40/91) = 40/91 after simplification.\n</reasoning>\nFinal Answer: 40/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 67, 88, 3, 2, 12, 27, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 67: 1, 88: 1, 3: 1, 2: 1, 12: 1, 27: 1, 15: 1}. Most frequent: [10, 67, 88, 3, 2, 12, 27, 15].\n</reasoning>\nFinal Answer: [10, 67, 88, 3... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -622 × 835"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -622 by 835: -622 × 835 = -519370.\n</reasoning>\nFinal Answer: -519370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 760 km apart. Their speeds are 77 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+49=126 km/h. Time = 760/126 = 6.0317 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 10, 19] and B = [4, 7, 9, 10, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:27 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/27, so B = A × (27/10) = 85 × 27/10 = 229.5.\n</reasoning>\nFinal Answer: 229.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 42 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(42+2) = 2×44 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 37, 72, 44, 8, 62, 46, 21, 26, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 21, 26, 28, 37, 44, 46, 62, 67, 72]. Middle value(s) → median = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 30, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 30 + 31 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 2 = 178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 16x = 176. Divide by 16: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 16 = -66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 2x = -82. Divide by 2: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 * 11/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/16) × (11/8) = (77/128) = 77/128 after simplification.\n</reasoning>\nFinal Answer: 77/128"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 11, 13, 14, 16, 18] and B = [2, 3, 7, 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": "Simplify: 14/9 + 20/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/9 + 20/17. Common denominator = 153. Result = 418/153.\n</reasoning>\nFinal Answer: 418/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 8 + 23 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×8=40 and 23×20=460, then add: 500.\n</reasoning>\nFinal Answer: 500"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 623 ÷ 968"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 623 by 968. 623 ÷ 968 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -7 = 344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 13x = 351. Divide by 13: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 146 + 13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 146 and 13: 146 + 13 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+74) = 2×160 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 32 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(32,20) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 56, 24, 1, 78, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 196/6 = 32.6667.\n</reasoning>\nFinal Answer: 32.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 0 = -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 12x = -300. Divide by 12: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 41 = 1271.\n</reasoning>\nFinal Answer: 1271"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -39 = -1261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 26x = -1222. Divide by 26: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 9/20. Common denominator = 20. Result = 37/10.\n</reasoning>\nFinal Answer: 37/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -28 = 107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 5x = 135. Divide by 5: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 12, 13] and B = [4, 5, 15, 18], 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": "Solve for x: 12x + -13 = -277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 12x = -264. Divide by 12: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 165 apples and buys 116 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 165 + 116 = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 92 - -433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -433 from 92: 92 - -433 = 525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "61 is what percentage of 358?"
},
{
"role": "assistant",
"content": "<reasoning>\n(61/358) × 100 = 17.0391%.\n</reasoning>\nFinal Answer: 17.0391%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 - 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/4 - 4/2. LCD = 1. Result = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7137 at 5% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7137 × 5 × 2 / 100 = 713.7.\n</reasoning>\nFinal Answer: 713.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 258?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 258 = (45/100) × 258 = 116.1.\n</reasoning>\nFinal Answer: 116.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹355. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 355 × 18/100 = 63.9. Total = 355 + 63.9 = 418.9.\n</reasoning>\nFinal Answer: 418.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "959 is what percentage of 996?"
},
{
"role": "assistant",
"content": "<reasoning>\n(959/996) × 100 = 96.2851%.\n</reasoning>\nFinal Answer: 96.2851%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 + 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/2 + 12/9. Common denominator = 6. Result = 35/6.\n</reasoning>\nFinal Answer: 35/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 1 * 44 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×44=44, then 3+44-41=6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 2, 75, 91, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 2 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 97, 45, 35, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 245/5 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 100% of 858?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 858 = (100/100) × 858 = 858.0.\n</reasoning>\nFinal Answer: 858.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 19 + 32 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×19=703 and 32×14=448, then add: 1151.\n</reasoning>\nFinal Answer: 1151"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -830 × -830"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -830 by -830: -830 × -830 = 688900.\n</reasoning>\nFinal Answer: 688900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 + 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/10 + 11/9. Common denominator = 45. Result = 73/45.\n</reasoning>\nFinal Answer: 73/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 20 = 173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 9x = 153. Divide by 9: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 58."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 58 by smallest primes repeatedly: 58 = 2 × 29.\n</reasoning>\nFinal Answer: 2 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 13 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 14+169-47=136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 20 + 15 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×20=140 and 15×8=120, then add: 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 886 ÷ -323"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 886 by -323. 886 ÷ -323 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 275 - 340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 340 from 275: 275 - 340 = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 471."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 471 by smallest primes repeatedly: 471 = 3 × 157.\n</reasoning>\nFinal Answer: 3 × 157"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 12, 13, 15, 16] and B = [2, 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, 4, 6, 8, 10, 11, 12, 15, 17].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 13 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+13) × 18 = 270.0.\n</reasoning>\nFinal Answer: 270.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 25, 28, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 25 + 28 + 34 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4817 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4817 × 9 × 2 / 100 = 867.06.\n</reasoning>\nFinal Answer: 867.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 28 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 19+784-41=762.\n</reasoning>\nFinal Answer: 762"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 58, 94, 64, 15, 18, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 386/7 = 55.1429.\n</reasoning>\nFinal Answer: 55.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:21 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/21, so B = A × (21/12) = 66 × 21/12 = 115.5.\n</reasoning>\nFinal Answer: 115.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 14, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (22-1)×14 = 7 + 294 = 301.\n</reasoning>\nFinal Answer: 301"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 10) * (26 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+10)=46, (26-36)=-10, then 46×-10=-460.\n</reasoning>\nFinal Answer: -460"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:41 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/41, so B = A × (41/28) = 9 × 41/28 = 13.1786.\n</reasoning>\nFinal Answer: 13.1786"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -41 = -585"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 17x = -544. Divide by 17: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 44) * (11 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+44)=74, (11-21)=-10, then 74×-10=-740.\n</reasoning>\nFinal Answer: -740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:31 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/31, so B = A × (31/34) = 1 × 31/34 = 0.9118.\n</reasoning>\nFinal Answer: 0.9118"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 33 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+33) × 38 = 798.0.\n</reasoning>\nFinal Answer: 798.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×44)/2 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:16 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/16, so B = A × (16/14) = 98 × 16/14 = 112.0.\n</reasoning>\nFinal Answer: 112.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 531 mod -62"
},
{
"role": "assistant",
"content": "<reasoning>\n531 mod -62: 531 = -62 × -9 + -27, so remainder = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 8 = 488.\n</reasoning>\nFinal Answer: 488"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 - 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/5 - 14/17. LCD = 85. Result = 253/85.\n</reasoning>\nFinal Answer: 253/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 748 - -914"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -914 from 748: 748 - -914 = 1662.\n</reasoning>\nFinal Answer: 1662"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 991 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 991 × (1 + 12/100) = 991 × 1.12 = 1109.92.\n</reasoning>\nFinal Answer: 1109.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 39 and 179."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(39,179) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
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