messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "7 workers can complete a job in 14 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 14 = 98 worker-days. New time = 98 / 4 = 24.5 days.\n</reasoning>\nFinal Answer: 24.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 470 ÷ -712"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 470 by -712. 470 ÷ -712 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 121 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 121 × (1 - 50/100) = 121 × 0.5 = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 393?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 393 = (80/100) × 393 = 314.4.\n</reasoning>\nFinal Answer: 314.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 / 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/19) ÷ (4/9) = (2/19) × (9/4) = 9/38.\n</reasoning>\nFinal Answer: 9/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 12 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 12 × (1 - 40/100) = 12 × 0.6 = 7.2.\n</reasoning>\nFinal Answer: 7.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 692 × -9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 692 by -9: 692 × -9 = -6228.\n</reasoning>\nFinal Answer: -6228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -21 = 339"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 15x = 360. Divide by 15: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/17 + 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/17 + 17/10. Common denominator = 170. Result = 369/170.\n</reasoning>\nFinal Answer: 369/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 50 * 21 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×21=1050, then 29+1050-42=1037.\n</reasoning>\nFinal Answer: 1037"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 34, 77, 72, 54, 66, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 382/7 = 54.5714.\n</reasoning>\nFinal Answer: 54.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 / 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/14) ÷ (14/19) = (9/14) × (19/14) = 171/196.\n</reasoning>\nFinal Answer: 171/196"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -45 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 25x = 125. Divide by 25: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:1 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/1, so B = A × (1/28) = 72 × 1/28 = 2.5714.\n</reasoning>\nFinal Answer: 2.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 61, 85, 26, 50, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 9 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 45% of 291?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 291 = (45/100) × 291 = 130.95.\n</reasoning>\nFinal Answer: 130.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 37) * (39 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+37)=78, (39-4)=35, then 78×35=2730.\n</reasoning>\nFinal Answer: 2730"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:19 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/19, so B = A × (19/3) = 96 × 19/3 = 608.0.\n</reasoning>\nFinal Answer: 608.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 94 = 3478.\n</reasoning>\nFinal Answer: 3478"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 * 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/5) × (4/20) = (8/100) = 2/25 after simplification.\n</reasoning>\nFinal Answer: 2/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 / 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/7) ÷ (3/14) = (20/7) × (14/3) = 40/3.\n</reasoning>\nFinal Answer: 40/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 925 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 925 × (1 + 90/100) = 925 × 1.9 = 1757.5.\n</reasoning>\nFinal Answer: 1757.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 19 = 684.0.\n</reasoning>\nFinal Answer: 684.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 12, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (49-1)×12 = 3 + 576 = 579.\n</reasoning>\nFinal Answer: 579"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 101 mod -839"
},
{
"role": "assistant",
"content": "<reasoning>\n101 mod -839: 101 = -839 × -1 + -738, so remainder = -738.\n</reasoning>\nFinal Answer: -738"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 97, 77, 28, 90, 15, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 97: 1, 77: 1, 28: 1, 90: 1, 15: 1, 1: 1}. Most frequent: [87, 97, 77, 28, 90, 15, 1].\n</reasoning>\nFinal Answer: [87, 97, 77, 28, 90, 15, 1... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:13 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/13, so B = A × (13/36) = 15 × 13/36 = 5.4167.\n</reasoning>\nFinal Answer: 5.4167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 43) * (12 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+43)=85, (12-7)=5, then 85×5=425.\n</reasoning>\nFinal Answer: 425"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 39) * (15 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+39)=71, (15-16)=-1, then 71×-1=-71.\n</reasoning>\nFinal Answer: -71"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 - 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/7 - 2/7. LCD = 7. Result = 17/7.\n</reasoning>\nFinal Answer: 17/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 5, 66, 26, 66, 5, 38, 97, 63, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 458/10 = 45.8.\n</reasoning>\nFinal Answer: 45.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -808 × -940"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -808 by -940: -808 × -940 = 759520.\n</reasoning>\nFinal Answer: 759520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 38) * (41 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+38)=55, (41-20)=21, then 55×21=1155.\n</reasoning>\nFinal Answer: 1155"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -99 × -462"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -99 by -462: -99 × -462 = 45738.\n</reasoning>\nFinal Answer: 45738"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 32, 24, 7, 88, 60, 79, 40, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 428/9 = 47.5556.\n</reasoning>\nFinal Answer: 47.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 7, 40, 27, 85, 68, 96, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 7 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 831 mod 429"
},
{
"role": "assistant",
"content": "<reasoning>\n831 mod 429: 831 = 429 × 1 + 402, so remainder = 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 744 + -999"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 744 and -999: 744 + -999 = -255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 8, 54, 26, 59, 54, 94, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 421/8 = 52.625.\n</reasoning>\nFinal Answer: 52.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 20 = 20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 14x = 0. Divide by 14: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -974 mod -5"
},
{
"role": "assistant",
"content": "<reasoning>\n-974 mod -5: -974 = -5 × 194 + -4, so remainder = -4.\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 141 km/h. How far does it travel in 3 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 12/60 = 3.2000 hours. Distance = speed × time = 141 × 3.2000 = 451.2 km.\n</reasoning>\nFinal Answer: 451.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 53, 100, 24, 82, 40, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 445/7 = 63.5714.\n</reasoning>\nFinal Answer: 63.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -9 = -295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 26x = -286. Divide by 26: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 24 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 24 = 192 worker-days. New time = 192 / 17 = 11.2941 days.\n</reasoning>\nFinal Answer: 11.2941"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 43 = 344.0.\n</reasoning>\nFinal Answer: 344.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 9 = 837.\n</reasoning>\nFinal Answer: 837"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 773 km apart. Their speeds are 56 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+92=148 km/h. Time = 773/148 = 5.223 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -552 mod -622"
},
{
"role": "assistant",
"content": "<reasoning>\n-552 mod -622: -552 = -622 × 0 + -552, so remainder = -552.\n</reasoning>\nFinal Answer: -552"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "197 is what percentage of 228?"
},
{
"role": "assistant",
"content": "<reasoning>\n(197/228) × 100 = 86.4035%.\n</reasoning>\nFinal Answer: 86.4035%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 6 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 2x = 22. Divide by 2: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -361 mod 379"
},
{
"role": "assistant",
"content": "<reasoning>\n-361 mod 379: -361 = 379 × -1 + 18, so remainder = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 949 mod 235"
},
{
"role": "assistant",
"content": "<reasoning>\n949 mod 235: 949 = 235 × 4 + 9, so remainder = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 7 + 45 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×7=7 and 45×3=135, then add: 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 2 = -148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 3x = -150. Divide by 3: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -9 = -8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 1x = 1. Divide by 1: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 2, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (35-1)×2 = 36 + 68 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 30) * (31 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+30)=60, (31-33)=-2, then 60×-2=-120.\n</reasoning>\nFinal Answer: -120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 4 and 92."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(4,92) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:13 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/13, so B = A × (13/2) = 71 × 13/2 = 461.5.\n</reasoning>\nFinal Answer: 461.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 20, 35, 23, 62, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 2 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "143 is what percentage of 519?"
},
{
"role": "assistant",
"content": "<reasoning>\n(143/519) × 100 = 27.553%.\n</reasoning>\nFinal Answer: 27.553%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 / 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/15) ÷ (3/19) = (13/15) × (19/3) = 247/45.\n</reasoning>\nFinal Answer: 247/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -178 + 199"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -178 and 199: -178 + 199 = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -29 = 721"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 15x = 750. Divide by 15: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:23 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/23, so B = A × (23/11) = 65 × 23/11 = 135.9091.\n</reasoning>\nFinal Answer: 135.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 + 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/17 + 17/10. Common denominator = 170. Result = 479/170.\n</reasoning>\nFinal Answer: 479/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 6, 15, 32, 31, 10, 45, 28, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 312/9 = 34.6667.\n</reasoning>\nFinal Answer: 34.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 11/1 * 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/1) × (3/13) = (33/13) = 33/13 after simplification.\n</reasoning>\nFinal Answer: 33/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 92, 58, 77, 37, 87, 24, 45, 33, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 533/10 = 53.3.\n</reasoning>\nFinal Answer: 53.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 14, 18, 19] and B = [2, 4, 5, 9, 10, 11, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 9, 14].\n</reasoning>\nFinal Answer: [4, 9, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 48, 100, 69, 6, 24, 15, 18, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 369/9 = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹3047. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3047 × 18/100 = 548.46. Total = 3047 + 548.46 = 3595.46.\n</reasoning>\nFinal Answer: 3595.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 14, 15, 18, 19] and B = [1, 4, 8, 9, 10, 11, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 18].\n</reasoning>\nFinal Answer: [9, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:21 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/21, so B = A × (21/46) = 17 × 21/46 = 7.7609.\n</reasoning>\nFinal Answer: 7.7609"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [91, 42, 86, 18, 23, 46, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 23, 42, 46, 47, 86, 91]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 13 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+13) × 45 = 1125.0.\n</reasoning>\nFinal Answer: 1125.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -420 × -77"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -420 by -77: -420 × -77 = 32340.\n</reasoning>\nFinal Answer: 32340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 4, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (39-1)×4 = 24 + 152 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 21 * 19 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×19=399, then 3+399-36=366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 21 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 21 × (1 + 35/100) = 21 × 1.35 = 28.35.\n</reasoning>\nFinal Answer: 28.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 91, 82, 41, 70, 28, 10, 21, 48, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 10 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "9 is what percentage of 371?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/371) × 100 = 2.4259%.\n</reasoning>\nFinal Answer: 2.4259%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 1 apples and buys 79 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 1 + 79 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 48 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(48+60) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 43 = 1273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 30x = 1230. Divide by 30: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 - 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/10 - 8/6. LCD = 15. Result = -11/15.\n</reasoning>\nFinal Answer: -11/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 387?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 387 = (17/100) × 387 = 65.79.\n</reasoning>\nFinal Answer: 65.79"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 13 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(13+25) = 2×38 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 14] and B = [4, 13, 15], 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": "What is 15% of 192?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 192 = (15/100) × 192 = 28.8.\n</reasoning>\nFinal Answer: 28.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 750?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 750 = (17/100) × 750 = 127.5.\n</reasoning>\nFinal Answer: 127.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 920 km apart. Their speeds are 93 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 93+61=154 km/h. Time = 920/154 = 5.974 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -13 = -199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 6x = -186. Divide by 6: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 19 = -171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 5x = -190. Divide by 5: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 84 km/h. How far does it travel in 6 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 6/60 = 6.1000 hours. Distance = speed × time = 84 × 6.1000 = 512.4 km.\n</reasoning>\nFinal Answer: 512.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 4 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 4 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 82 = 7708.\n</reasoning>\nFinal Answer: 7708"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -651 - 723"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 723 from -651: -651 - 723 = -1374.\n</reasoning>\nFinal Answer: -1374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×29)/1 = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"number_theory",
"lcm"
] |
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