messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 195 apples and buys 19 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 195 + 19 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -43 = 433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 17x = 476. Divide by 17: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 33 + 21 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×33=1650 and 21×11=231, then add: 1881.\n</reasoning>\nFinal Answer: 1881"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 95, 100, 64, 43, 64, 56, 95, 50, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 13 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -83 + -182"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -83 and -182: -83 + -182 = -265.\n</reasoning>\nFinal Answer: -265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 30, 39, 66, 99, 83, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 416/7 = 59.4286.\n</reasoning>\nFinal Answer: 59.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "585 is what percentage of 659?"
},
{
"role": "assistant",
"content": "<reasoning>\n(585/659) × 100 = 88.7709%.\n</reasoning>\nFinal Answer: 88.7709%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -29 × 894"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -29 by 894: -29 × 894 = -25926.\n</reasoning>\nFinal Answer: -25926"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 97 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(97+99) = 2×196 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "155 is what percentage of 745?"
},
{
"role": "assistant",
"content": "<reasoning>\n(155/745) × 100 = 20.8054%.\n</reasoning>\nFinal Answer: 20.8054%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 + 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/14 + 18/8. Common denominator = 28. Result = 93/28.\n</reasoning>\nFinal Answer: 93/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -637 - 977"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 977 from -637: -637 - 977 = -1614.\n</reasoning>\nFinal Answer: -1614"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 664 + -163"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 664 and -163: 664 + -163 = 501.\n</reasoning>\nFinal Answer: 501"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 375 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 375 × (1 - 35/100) = 375 × 0.65 = 243.75.\n</reasoning>\nFinal Answer: 243.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 215 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 215 × (1 + 65/100) = 215 × 1.65 = 354.75.\n</reasoning>\nFinal Answer: 354.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 492 + -457"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 492 and -457: 492 + -457 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×48)/8 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 870 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 870 × (1 - 80/100) = 870 × 0.19999999999999996 = 174.0.\n</reasoning>\nFinal Answer: 174.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:19 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/19, so B = A × (19/25) = 33 × 19/25 = 25.08.\n</reasoning>\nFinal Answer: 25.08"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -44 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 5x = -80. Divide by 5: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "678 is what percentage of 905?"
},
{
"role": "assistant",
"content": "<reasoning>\n(678/905) × 100 = 74.9171%.\n</reasoning>\nFinal Answer: 74.9171%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -445 - 864"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 864 from -445: -445 - 864 = -1309.\n</reasoning>\nFinal Answer: -1309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 28, 5, 81, 17, 28, 90, 16, 26, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 418/10 = 41.8.\n</reasoning>\nFinal Answer: 41.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9732 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9732 × 13 × 5 / 100 = 6325.8.\n</reasoning>\nFinal Answer: 6325.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 - 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/7 - 16/4. LCD = 7. Result = -23/7.\n</reasoning>\nFinal Answer: -23/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 165 × 703"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 165 by 703: 165 × 703 = 115995.\n</reasoning>\nFinal Answer: 115995"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 66 and 180."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(66,180) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -48 = 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 8x = 264. Divide by 8: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 64 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(64+37) = 2×101 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 401 km apart. Their speeds are 69 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+107=176 km/h. Time = 401/176 = 2.2784 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 10 + 25 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×10=110 and 25×33=825, then add: 935.\n</reasoning>\nFinal Answer: 935"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 845 ÷ 405"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 845 by 405. 845 ÷ 405 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -8 = -788"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 20x = -780. Divide by 20: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 9 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 1+81-37=45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 3 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 46/60 = 3.7667 hours. Distance = speed × time = 124 × 3.7667 = 467.0667 km.\n</reasoning>\nFinal Answer: 467.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 22 = -11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 1x = -33. Divide by 1: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:45 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/45, so B = A × (45/49) = 7 × 45/49 = 6.4286.\n</reasoning>\nFinal Answer: 6.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹165. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 165 × 18/100 = 29.7. Total = 165 + 29.7 = 194.7.\n</reasoning>\nFinal Answer: 194.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 93 = 1674.0.\n</reasoning>\nFinal Answer: 1674.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 87 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 87 × 98 = 8526.\n</reasoning>\nFinal Answer: 8526"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 82 = 738.\n</reasoning>\nFinal Answer: 738"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 46 = -69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 5x = -115. Divide by 5: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 10, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (32-1)×10 = 29 + 310 = 339.\n</reasoning>\nFinal Answer: 339"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 525 km apart. Their speeds are 109 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+103=212 km/h. Time = 525/212 = 2.4764 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 50 = 4150.\n</reasoning>\nFinal Answer: 4150"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 360 - 570"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 570 from 360: 360 - 570 = -210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 37 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+37) × 38 = 1007.0.\n</reasoning>\nFinal Answer: 1007.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 26 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(26+62) = 2×88 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -116 - 489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 489 from -116: -116 - 489 = -605.\n</reasoning>\nFinal Answer: -605"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 388 km apart. Their speeds are 76 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+113=189 km/h. Time = 388/189 = 2.0529 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 585?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 585 = (30/100) × 585 = 175.5.\n</reasoning>\nFinal Answer: 175.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 * 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/7) × (18/14) = (216/98) = 108/49 after simplification.\n</reasoning>\nFinal Answer: 108/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 108 apples and buys 47 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 108 + 47 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -13 = 390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 13x = 403. Divide by 13: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -792 × 819"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -792 by 819: -792 × 819 = -648648.\n</reasoning>\nFinal Answer: -648648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 29 + 49 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×29=232 and 49×21=1029, then add: 1261.\n</reasoning>\nFinal Answer: 1261"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 80, 43, 18, 8, 34, 31, 17, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 17, 18, 31, 32, 34, 43, 80]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 / 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/5) ÷ (7/16) = (5/5) × (16/7) = 16/7.\n</reasoning>\nFinal Answer: 16/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 16 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 16 = 224 worker-days. New time = 224 / 9 = 24.8889 days.\n</reasoning>\nFinal Answer: 24.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 + 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/20 + 3/20. Common denominator = 20. Result = 4/5.\n</reasoning>\nFinal Answer: 4/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 29, 21, 4, 36, 53, 22, 39, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 53 - 4 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 31, 99, 16, 35, 21, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 300/7 = 42.8571.\n</reasoning>\nFinal Answer: 42.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 103 × -482"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 103 by -482: 103 × -482 = -49646.\n</reasoning>\nFinal Answer: -49646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 13, 14, 15] and B = [8, 12, 13, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 14, 15].\n</reasoning>\nFinal Answer: [7, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 610 + 400"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 610 and 400: 610 + 400 = 1010.\n</reasoning>\nFinal Answer: 1010"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 + 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/20 + 1/15. Common denominator = 30. Result = 1/6.\n</reasoning>\nFinal Answer: 1/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 36 = 358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 23x = 322. Divide by 23: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 37, 94, 89, 97, 29, 6, 57, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 526/9 = 58.4444.\n</reasoning>\nFinal Answer: 58.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 93 = 8742.\n</reasoning>\nFinal Answer: 8742"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 42 = -998"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 26x = -1040. Divide by 26: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 40 = 1440.0.\n</reasoning>\nFinal Answer: 1440.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 87, 26, 80, 57, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 339/6 = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -432 + 579"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -432 and 579: -432 + 579 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -10 mod 591"
},
{
"role": "assistant",
"content": "<reasoning>\n-10 mod 591: -10 = 591 × -1 + 581, so remainder = 581.\n</reasoning>\nFinal Answer: 581"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 22 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(22+88) = 2×110 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 - 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/14 - 20/2. LCD = 14. Result = -127/14.\n</reasoning>\nFinal Answer: -127/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 550 km apart. Their speeds are 105 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+85=190 km/h. Time = 550/190 = 2.8947 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 897 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 897 × (1 - 70/100) = 897 × 0.30000000000000004 = 269.1.\n</reasoning>\nFinal Answer: 269.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/5 * 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/5) × (10/13) = (60/65) = 12/13 after simplification.\n</reasoning>\nFinal Answer: 12/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 17 * 10 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×10=170, then 48+170-47=171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 61, 41, 71, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 28, 41, 61, 71]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 73 = 1496.5.\n</reasoning>\nFinal Answer: 1496.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:22 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/22, so B = A × (22/18) = 55 × 22/18 = 67.2222.\n</reasoning>\nFinal Answer: 67.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 17% of 882?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 882 = (17/100) × 882 = 149.94.\n</reasoning>\nFinal Answer: 149.94"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4684. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4684 × 5/100 = 234.2. Total = 4684 + 234.2 = 4918.2.\n</reasoning>\nFinal Answer: 4918.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 63 and 74."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(63,74) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 87 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 87 × 39 = 1696.5.\n</reasoning>\nFinal Answer: 1696.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -66 + -815"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -66 and -815: -66 + -815 = -881.\n</reasoning>\nFinal Answer: -881"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 4 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 3+16-8=11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 12 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 14/60 = 12.2333 hours. Distance = speed × time = 182 × 12.2333 = 2226.4667 km.\n</reasoning>\nFinal Answer: 2226.4667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 43, 45, 2, 51, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 43, 43, 45, 51, 97]. Middle value(s) → median = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 704 ÷ 598"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 704 by 598. 704 ÷ 598 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -213 × -720"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -213 by -720: -213 × -720 = 153360.\n</reasoning>\nFinal Answer: 153360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×29)/1 = 1102.\n</reasoning>\nFinal Answer: 1102"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 38 = -54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 23x = -92. Divide by 23: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41376 at 14% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41376 × 14 × 7 / 100 = 40548.48.\n</reasoning>\nFinal Answer: 40548.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 766 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 766 × (1 + 17/100) = 766 × 1.17 = 896.22.\n</reasoning>\nFinal Answer: 896.22"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 14, and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 14 + 14 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 719 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 719 × (1 - 90/100) = 719 × 0.09999999999999998 = 71.9.\n</reasoning>\nFinal Answer: 71.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+43) = 2×100 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | easy | [
"geometry",
"perimeter"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.