messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [47, 86, 51, 51, 97, 69, 18, 75, 77, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 47, 51, 51, 66, 69, 75, 77, 86, 97]. Middle value(s) → median = 67.5.\n</reasoning>\nFinal Answer: 67.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -798 - 944"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 944 from -798: -798 - 944 = -1742.\n</reasoning>\nFinal Answer: -1742"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 9 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 5/60 = 9.0833 hours. Distance = speed × time = 78 × 9.0833 = 708.5 km.\n</reasoning>\nFinal Answer: 708.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 12, 63, 97, 61, 43, 75, 53, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 12: 1, 63: 1, 97: 1, 61: 1, 43: 1, 75: 1, 53: 1, 68: 1}. Most frequent: [34, 12, 63, 97, 61, 43, 75, 53, 68].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 22) * (9 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+22)=50, (9-48)=-39, then 50×-39=-1950.\n</reasoning>\nFinal Answer: -1950"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 100% of 14?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 14 = (100/100) × 14 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 44 apples and buys 68 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 44 + 68 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [52, 83, 63, 85, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [52, 63, 69, 83, 85]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 825 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 825 × (1 + 45/100) = 825 × 1.45 = 1196.25.\n</reasoning>\nFinal Answer: 1196.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 46) * (50 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+46)=90, (50-10)=40, then 90×40=3600.\n</reasoning>\nFinal Answer: 3600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:46 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/46, so B = A × (46/1) = 20 × 46/1 = 920.0.\n</reasoning>\nFinal Answer: 920.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -30 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 10x = 60. Divide by 10: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×43)/1 = 1591.\n</reasoning>\nFinal Answer: 1591"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 33 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+33) × 27 = 607.5.\n</reasoning>\nFinal Answer: 607.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [55, 67, 59, 48, 9, 80, 81, 50, 98, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {55: 1, 67: 1, 59: 1, 48: 1, 9: 1, 80: 1, 81: 1, 50: 1, 98: 1, 76: 1}. Most frequent: [55, 67, 59, 48, 9, 80, 81, 50, 98, 76].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 34, 44, 54, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 10. Next term = 64 + 10 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -945 - 839"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 839 from -945: -945 - 839 = -1784.\n</reasoning>\nFinal Answer: -1784"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 69, 39, 76, 62, 74, 16, 23, 39, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 563/10 = 56.3.\n</reasoning>\nFinal Answer: 56.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 557 mod -796"
},
{
"role": "assistant",
"content": "<reasoning>\n557 mod -796: 557 = -796 × -1 + -239, so remainder = -239.\n</reasoning>\nFinal Answer: -239"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 99, 18, 16, 41, 9, 63, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 342/8 = 42.75.\n</reasoning>\nFinal Answer: 42.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 30 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 30 = 240 worker-days. New time = 240 / 11 = 21.8182 days.\n</reasoning>\nFinal Answer: 21.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 + 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/11 + 16/8. Common denominator = 11. Result = 34/11.\n</reasoning>\nFinal Answer: 34/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 82 apples and buys 21 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 82 + 21 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:24 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/24, so B = A × (24/7) = 2 × 24/7 = 6.8571.\n</reasoning>\nFinal Answer: 6.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 - 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/2 - 10/10. LCD = 2. Result = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 633?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 633 = (17/100) × 633 = 107.61.\n</reasoning>\nFinal Answer: 107.61"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 331 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 331 × (1 - 7/100) = 331 × 0.9299999999999999 = 307.83.\n</reasoning>\nFinal Answer: 307.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 76 = 3268.0.\n</reasoning>\nFinal Answer: 3268.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 94, 17, 21, 86, 67, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 389/7 = 55.5714.\n</reasoning>\nFinal Answer: 55.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 12, 96, 88, 57, 49, 97, 41, 11, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 11, 12, 41, 49, 57, 88, 95, 96, 97]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -15 = -927"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 19x = -912. Divide by 19: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 854 ÷ -109"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 854 by -109. 854 ÷ -109 = -8 (integer division).\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11768 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11768 × 10 × 6 / 100 = 7060.8.\n</reasoning>\nFinal Answer: 7060.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 47 * 48 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×48=2256, then 1+2256-14=2243.\n</reasoning>\nFinal Answer: 2243"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 106 apples and buys 48 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 106 + 48 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 74 = 3700.\n</reasoning>\nFinal Answer: 3700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 185 apples and buys 24 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 185 + 24 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:26 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/26, so B = A × (26/47) = 92 × 26/47 = 50.8936.\n</reasoning>\nFinal Answer: 50.8936"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 35 + 47 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×35=1225 and 47×38=1786, then add: 3011.\n</reasoning>\nFinal Answer: 3011"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 17 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 17 = 170 worker-days. New time = 170 / 3 = 56.6667 days.\n</reasoning>\nFinal Answer: 56.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:34 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/34, so B = A × (34/40) = 15 × 34/40 = 12.75.\n</reasoning>\nFinal Answer: 12.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 14 * 24 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×24=336, then 15+336-3=348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 32 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+32) × 13 = 351.0.\n</reasoning>\nFinal Answer: 351.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 74 = 6364.\n</reasoning>\nFinal Answer: 6364"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 636 km apart. Their speeds are 118 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+45=163 km/h. Time = 636/163 = 3.9018 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 51 ÷ -505"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 51 by -505. 51 ÷ -505 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 953 ÷ -537"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 953 by -537. 953 ÷ -537 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 503 km apart. Their speeds are 60 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+81=141 km/h. Time = 503/141 = 3.5674 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 6 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 6 = 72 worker-days. New time = 72 / 6 = 12.0 days.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 63, 39, 64, 50, 29, 13, 63, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 63: 2, 39: 1, 64: 1, 50: 1, 29: 1, 13: 1, 15: 1}. Most frequent: 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 256 km apart. Their speeds are 103 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+50=153 km/h. Time = 256/153 = 1.6732 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 18 = -533"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 29x = -551. Divide by 29: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 30 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 30 = 210 worker-days. New time = 210 / 11 = 19.0909 days.\n</reasoning>\nFinal Answer: 19.0909"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 677 + -311"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 677 and -311: 677 + -311 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -14 = 124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 6x = 138. Divide by 6: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -17 = -132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 23x = -115. Divide by 23: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "22 is what percentage of 73?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/73) × 100 = 30.137%.\n</reasoning>\nFinal Answer: 30.137%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 162 apples and buys 148 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 162 + 148 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 48 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 31+2304-37=2298.\n</reasoning>\nFinal Answer: 2298"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 144."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 144 by smallest primes repeatedly: 144 = 2 × 2 × 2 × 2 × 3 × 3.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 3 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -382 × -550"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -382 by -550: -382 × -550 = 210100.\n</reasoning>\nFinal Answer: 210100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 10, 30, 20, 27, 11, 30, 3, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 10, 11, 20, 27, 30, 30, 70, 78]. Middle value(s) → median = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 643 + -14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 643 and -14: 643 + -14 = 629.\n</reasoning>\nFinal Answer: 629"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 30 = 282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 6x = 252. Divide by 6: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 40 = -170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 14x = -210. Divide by 14: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 58 km/h. How far does it travel in 2 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 21/60 = 2.3500 hours. Distance = speed × time = 58 × 2.3500 = 136.3 km.\n</reasoning>\nFinal Answer: 136.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 23 = -737"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 19x = -760. Divide by 19: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 615 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 615 × (1 + 90/100) = 615 × 1.9 = 1168.5.\n</reasoning>\nFinal Answer: 1168.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -667 × -755"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -667 by -755: -667 × -755 = 503585.\n</reasoning>\nFinal Answer: 503585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:30 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/30, so B = A × (30/36) = 6 × 30/36 = 5.0.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (24)x + (-60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×3×-60 = 1296. √discriminant = 36. x = (-(24) ± 36) / (2×3). Solutions: x = 2 or x = -10.\n</reasoning>\nFinal Answer: x = 2 or x = -10"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 40 = 3760.\n</reasoning>\nFinal Answer: 3760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -534 + 326"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -534 and 326: -534 + 326 = -208.\n</reasoning>\nFinal Answer: -208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 + 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/6 + 8/16. Common denominator = 2. Result = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 18 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 18 = 36 worker-days. New time = 36 / 19 = 1.8947 days.\n</reasoning>\nFinal Answer: 1.8947"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 / 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/10) ÷ (17/19) = (16/10) × (19/17) = 152/85.\n</reasoning>\nFinal Answer: 152/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:32 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/32, so B = A × (32/8) = 18 × 32/8 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 38 = 665"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 19x = 627. Divide by 19: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 22 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 22 × 94 = 1034.0.\n</reasoning>\nFinal Answer: 1034.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 183 km apart. Their speeds are 74 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+53=127 km/h. Time = 183/127 = 1.4409 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 24 = 276"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 6x = 252. Divide by 6: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/3 / 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/3) ÷ (4/3) = (12/3) × (3/4) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -3 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 23x = -92. Divide by 23: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -15 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 12x = 60. Divide by 12: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 35, 50, 65, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 15. Next term = 80 + 15 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 21 = 1050.0.\n</reasoning>\nFinal Answer: 1050.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -839 ÷ 360"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -839 by 360. -839 ÷ 360 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -73 × -638"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -73 by -638: -73 × -638 = 46574.\n</reasoning>\nFinal Answer: 46574"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -833 × -383"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -833 by -383: -833 × -383 = 319039.\n</reasoning>\nFinal Answer: 319039"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 51, 22, 54, 61, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 22 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (2)x + (-63) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×1×-63 = 256. √discriminant = 16. x = (-(2) ± 16) / (2×1). Solutions: x = 7 or x = -9.\n</reasoning>\nFinal Answer: x = 7 or x = -9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [8, 12, 14, 15] and B = [3, 12, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12].\n</reasoning>\nFinal Answer: [12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 328 + -80"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 328 and -80: 328 + -80 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 34) * (17 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+34)=81, (17-44)=-27, then 81×-27=-2187.\n</reasoning>\nFinal Answer: -2187"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 113 km apart. Their speeds are 54 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+105=159 km/h. Time = 113/159 = 0.7107 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 5 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 48/60 = 5.8000 hours. Distance = speed × time = 95 × 5.8000 = 551.0 km.\n</reasoning>\nFinal Answer: 551.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 34, 86, 93, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 34, 62, 86, 93]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 5 = 97.5.\n</reasoning>\nFinal Answer: 97.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 991 mod -666"
},
{
"role": "assistant",
"content": "<reasoning>\n991 mod -666: 991 = -666 × -2 + -341, so remainder = -341.\n</reasoning>\nFinal Answer: -341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 46) * (1 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+46)=83, (1-30)=-29, then 83×-29=-2407.\n</reasoning>\nFinal Answer: -2407"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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