messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the prime factorization of 237."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 237 by smallest primes repeatedly: 237 = 3 × 79.\n</reasoning>\nFinal Answer: 3 × 79"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 29) * (47 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+29)=74, (47-23)=24, then 74×24=1776.\n</reasoning>\nFinal Answer: 1776"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 2) * (41 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+2)=45, (41-37)=4, then 45×4=180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -39 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 1x = 50. Divide by 1: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 21 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 21 × 45 = 945.\n</reasoning>\nFinal Answer: 945"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -589 + -624"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -589 and -624: -589 + -624 = -1213.\n</reasoning>\nFinal Answer: -1213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 15] and B = [2, 4, 6, 7, 8, 12, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 15].\n</reasoning>\nFinal Answer: [4, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -75 - -767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -767 from -75: -75 - -767 = 692.\n</reasoning>\nFinal Answer: 692"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "68 is what percentage of 70?"
},
{
"role": "assistant",
"content": "<reasoning>\n(68/70) × 100 = 97.1429%.\n</reasoning>\nFinal Answer: 97.1429%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "110 is what percentage of 302?"
},
{
"role": "assistant",
"content": "<reasoning>\n(110/302) × 100 = 36.4238%.\n</reasoning>\nFinal Answer: 36.4238%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 / 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/7) ÷ (9/9) = (5/7) × (9/9) = 5/7.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36342 at 9% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36342 × 9 × 9 / 100 = 29437.02.\n</reasoning>\nFinal Answer: 29437.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 62 + -27"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 62 and -27: 62 + -27 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 42, 9, 77, 61, 91, 54, 57, 98, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 9, 42, 54, 57, 61, 64, 77, 91, 98]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 47 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 47 × 59 = 1386.5.\n</reasoning>\nFinal Answer: 1386.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 * 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/7) × (7/2) = (119/14) = 17/2 after simplification.\n</reasoning>\nFinal Answer: 17/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 87 = 3523.5.\n</reasoning>\nFinal Answer: 3523.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 34 = -78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 28x = -112. Divide by 28: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 / 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/15) ÷ (19/7) = (16/15) × (7/19) = 112/285.\n</reasoning>\nFinal Answer: 112/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -115 × -95"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -115 by -95: -115 × -95 = 10925.\n</reasoning>\nFinal Answer: 10925"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 154 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(154,11) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 - 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/14 - 6/18. LCD = 42. Result = -11/42.\n</reasoning>\nFinal Answer: -11/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 9, 70, 93, 92, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 9, 70, 92, 93, 99]. Middle value(s) → median = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 10 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 10 = 50 worker-days. New time = 50 / 14 = 3.5714 days.\n</reasoning>\nFinal Answer: 3.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 83, 46, 62, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 46, 62, 83, 86]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 364 - -348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -348 from 364: 364 - -348 = 712.\n</reasoning>\nFinal Answer: 712"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 - 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/15 - 11/1. LCD = 15. Result = -151/15.\n</reasoning>\nFinal Answer: -151/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 119 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 119 × (1 + 35/100) = 119 × 1.35 = 160.65.\n</reasoning>\nFinal Answer: 160.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 29, 75, 8, 60, 19, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 29: 1, 75: 1, 8: 1, 60: 1, 19: 1, 40: 1}. Most frequent: [51, 29, 75, 8, 60, 19, 40].\n</reasoning>\nFinal Answer: [51, 29, 75, 8, 60, 19, 40... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 171 apples and buys 42 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 171 + 42 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 46 ÷ 612"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 46 by 612. 46 ÷ 612 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 + 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/3 + 17/19. Common denominator = 57. Result = 412/57.\n</reasoning>\nFinal Answer: 412/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -141 mod 156"
},
{
"role": "assistant",
"content": "<reasoning>\n-141 mod 156: -141 = 156 × -1 + 15, so remainder = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 732 - -936"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -936 from 732: 732 - -936 = 1668.\n</reasoning>\nFinal Answer: 1668"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -29 = -420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 17x = -391. Divide by 17: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 19 + 8 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×19=38 and 8×11=88, then add: 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 20, 72, 75, 75, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 20 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -208 ÷ 923"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -208 by 923. -208 ÷ 923 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 36 * 49 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×49=1764, then 47+1764-21=1790.\n</reasoning>\nFinal Answer: 1790"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 66 = 5214.\n</reasoning>\nFinal Answer: 5214"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [55, 100, 30, 66, 91, 57, 48, 25, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {55: 1, 100: 1, 30: 1, 66: 1, 91: 1, 57: 1, 48: 1, 25: 1, 90: 1}. Most frequent: [55, 100, 30, 66, 91, 57, 48, 25, 90].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 313 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 313 × (1 + 35/100) = 313 × 1.35 = 422.55.\n</reasoning>\nFinal Answer: 422.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 38, 4, 35, 58, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 281/6 = 46.8333.\n</reasoning>\nFinal Answer: 46.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-80)x + (300) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -80² - 4×5×300 = 400. √discriminant = 20. x = (-(-80) ± 20) / (2×5). Solutions: x = 6 or x = 10.\n</reasoning>\nFinal Answer: x = 6 or x = 10"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 45% of 104?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 104 = (45/100) × 104 = 46.8.\n</reasoning>\nFinal Answer: 46.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 11 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(11+25) = 2×36 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 641 + 925"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 641 and 925: 641 + 925 = 1566.\n</reasoning>\nFinal Answer: 1566"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 113 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 113 + 139 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 77 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(77+11) = 2×88 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 18 = -3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 7x = -21. Divide by 7: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 699 + -305"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 699 and -305: 699 + -305 = 394.\n</reasoning>\nFinal Answer: 394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 7 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 7 = 21 worker-days. New time = 21 / 18 = 1.1667 days.\n</reasoning>\nFinal Answer: 1.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 35% of 635?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 635 = (35/100) × 635 = 222.25.\n</reasoning>\nFinal Answer: 222.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 31, 51, 24, 30, 89, 26, 17, 25, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 24, 25, 26, 30, 31, 33, 51, 89, 96]. Middle value(s) → median = 30.5.\n</reasoning>\nFinal Answer: 30.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42834 at 5% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42834 × 5 × 7 / 100 = 14991.9.\n</reasoning>\nFinal Answer: 14991.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 177 apples and buys 84 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 177 + 84 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (20)x + (42) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×2×42 = 64. √discriminant = 8. x = (-(20) ± 8) / (2×2). Solutions: x = -7 or x = -3.\n</reasoning>\nFinal Answer: x = -7 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "An item costs ₹4858. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4858 × 12/100 = 582.96. Total = 4858 + 582.96 = 5440.96.\n</reasoning>\nFinal Answer: 5440.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 8 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 54/60 = 8.9000 hours. Distance = speed × time = 69 × 8.9000 = 614.1 km.\n</reasoning>\nFinal Answer: 614.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -20 = -440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 20x = -420. Divide by 20: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 + 4/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/15 + 4/16. Common denominator = 60. Result = 91/60.\n</reasoning>\nFinal Answer: 91/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -191 ÷ -704"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -191 by -704. -191 ÷ -704 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹748. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 748 × 12/100 = 89.76. Total = 748 + 89.76 = 837.76.\n</reasoning>\nFinal Answer: 837.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 23 = -965"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 26x = -988. Divide by 26: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "120 is what percentage of 801?"
},
{
"role": "assistant",
"content": "<reasoning>\n(120/801) × 100 = 14.9813%.\n</reasoning>\nFinal Answer: 14.9813%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 - 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/16 - 16/6. LCD = 3. Result = -5/3.\n</reasoning>\nFinal Answer: -5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 8 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 8/11 = 0.7273.\n</reasoning>\nFinal Answer: 0.7273"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 16 = 1552.\n</reasoning>\nFinal Answer: 1552"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 42, 43, 44, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 1. Next term = 45 + 1 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 791 km apart. Their speeds are 98 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+65=163 km/h. Time = 791/163 = 4.8528 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 62 = 2976.\n</reasoning>\nFinal Answer: 2976"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 14 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 14 = 112 worker-days. New time = 112 / 18 = 6.2222 days.\n</reasoning>\nFinal Answer: 6.2222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 20 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 24+400-29=395.\n</reasoning>\nFinal Answer: 395"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -255 mod -224"
},
{
"role": "assistant",
"content": "<reasoning>\n-255 mod -224: -255 = -224 × 1 + -31, so remainder = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [52, 36, 41, 5, 17, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {52: 1, 36: 1, 41: 1, 5: 1, 17: 1, 26: 1}. Most frequent: [52, 36, 41, 5, 17, 26].\n</reasoning>\nFinal Answer: [52, 36, 41, 5, 17, 26]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 - 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/8 - 9/2. LCD = 4. Result = -13/4.\n</reasoning>\nFinal Answer: -13/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 / 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/6) ÷ (6/14) = (9/6) × (14/6) = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [96, 14, 11, 93, 92, 22, 25, 27, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 430/9 = 47.7778.\n</reasoning>\nFinal Answer: 47.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (3)x + (-126) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×3×-126 = 1521. √discriminant = 39. x = (-(3) ± 39) / (2×3). Solutions: x = 6 or x = -7.\n</reasoning>\nFinal Answer: x = 6 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 37 = 208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 19x = 171. Divide by 19: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 24, 27, 97, 19, 38, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 263/7 = 37.5714.\n</reasoning>\nFinal Answer: 37.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 - 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/1 - 13/5. LCD = 5. Result = 47/5.\n</reasoning>\nFinal Answer: 47/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 185 + 252"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 185 and 252: 185 + 252 = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 132?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 132 = (15/100) × 132 = 19.8.\n</reasoning>\nFinal Answer: 19.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 753 ÷ 770"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 753 by 770. 753 ÷ 770 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 363 × -472"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 363 by -472: 363 × -472 = -171336.\n</reasoning>\nFinal Answer: -171336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+19) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -599 × 667"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -599 by 667: -599 × 667 = -399533.\n</reasoning>\nFinal Answer: -399533"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 246."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 246 by smallest primes repeatedly: 246 = 2 × 3 × 41.\n</reasoning>\nFinal Answer: 2 × 3 × 41"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 6/5 / 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/5) ÷ (12/17) = (6/5) × (17/12) = 17/10.\n</reasoning>\nFinal Answer: 17/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 936 × -238"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 936 by -238: 936 × -238 = -222768.\n</reasoning>\nFinal Answer: -222768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26027 at 18% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26027 × 18 × 2 / 100 = 9369.72.\n</reasoning>\nFinal Answer: 9369.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 576 × -16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 576 by -16: 576 × -16 = -9216.\n</reasoning>\nFinal Answer: -9216"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -11 = -557"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 21x = -546. Divide by 21: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 + 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/18 + 11/16. Common denominator = 144. Result = 187/144.\n</reasoning>\nFinal Answer: 187/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 20 = -268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 24x = -288. Divide by 24: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -50 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 12x = 12. Divide by 12: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -624 - -864"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -864 from -624: -624 - -864 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 / 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/5) ÷ (16/4) = (3/5) × (4/16) = 3/20.\n</reasoning>\nFinal Answer: 3/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 * 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/15) × (11/15) = (55/225) = 11/45 after simplification.\n</reasoning>\nFinal Answer: 11/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
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