messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 65% of 31?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 31 = (65/100) × 31 = 20.15.\n</reasoning>\nFinal Answer: 20.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 8 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+8) × 24 = 660.0.\n</reasoning>\nFinal Answer: 660.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 32 = 252"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 10x = 220. Divide by 10: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:30 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/30, so B = A × (30/43) = 85 × 30/43 = 59.3023.\n</reasoning>\nFinal Answer: 59.3023"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 264 km apart. Their speeds are 46 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+71=117 km/h. Time = 264/117 = 2.2564 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 - 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/5 - 10/16. LCD = 40. Result = 119/40.\n</reasoning>\nFinal Answer: 119/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 34 + 19 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×34=1292 and 19×6=114, then add: 1406.\n</reasoning>\nFinal Answer: 1406"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 9 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 9 = 117 worker-days. New time = 117 / 7 = 16.7143 days.\n</reasoning>\nFinal Answer: 16.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 48 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 27+2304-22=2309.\n</reasoning>\nFinal Answer: 2309"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 39 + 49 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×39=975 and 49×17=833, then add: 1808.\n</reasoning>\nFinal Answer: 1808"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 12 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 44/60 = 12.7333 hours. Distance = speed × time = 95 × 12.7333 = 1209.6667 km.\n</reasoning>\nFinal Answer: 1209.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 9 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 58/60 = 9.9667 hours. Distance = speed × time = 114 × 9.9667 = 1136.2 km.\n</reasoning>\nFinal Answer: 1136.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 21, 79, 84, 22, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 21, 22, 48, 79, 84]. Middle value(s) → median = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -69 mod 60"
},
{
"role": "assistant",
"content": "<reasoning>\n-69 mod 60: -69 = 60 × -2 + 51, so remainder = 51.\n</reasoning>\nFinal Answer: 51"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:9 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/9, so B = A × (9/32) = 3 × 9/32 = 0.8438.\n</reasoning>\nFinal Answer: 0.8438"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 + 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/9 + 2/13. Common denominator = 117. Result = 278/117.\n</reasoning>\nFinal Answer: 278/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 18, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 18 + 30 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -685 + -46"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -685 and -46: -685 + -46 = -731.\n</reasoning>\nFinal Answer: -731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:2 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/2, so B = A × (2/36) = 73 × 2/36 = 4.0556.\n</reasoning>\nFinal Answer: 4.0556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -12 = 162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 6x = 174. Divide by 6: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -690 mod 319"
},
{
"role": "assistant",
"content": "<reasoning>\n-690 mod 319: -690 = 319 × -3 + 267, so remainder = 267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 24 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 24 × 28 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 34 * 32 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×32=1088, then 45+1088-27=1106.\n</reasoning>\nFinal Answer: 1106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 183 + 448"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 183 and 448: 183 + 448 = 631.\n</reasoning>\nFinal Answer: 631"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43171 at 19% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43171 × 19 × 2 / 100 = 16404.98.\n</reasoning>\nFinal Answer: 16404.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 126 and 59."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(126,59) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "42 is what percentage of 343?"
},
{
"role": "assistant",
"content": "<reasoning>\n(42/343) × 100 = 12.2449%.\n</reasoning>\nFinal Answer: 12.2449%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 8, 11, 13, 15, 17] and B = [3, 4, 9, 10, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6, 8, 11, 13, 17].\n</reasoning>\nFinal Answer: [5, 6, 8, 11, 13, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 47 + 40 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×47=470 and 40×43=1720, then add: 2190.\n</reasoning>\nFinal Answer: 2190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -766 × 968"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -766 by 968: -766 × 968 = -741488.\n</reasoning>\nFinal Answer: -741488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 437 + 641"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 437 and 641: 437 + 641 = 1078.\n</reasoning>\nFinal Answer: 1078"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 * 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/5) × (16/1) = (16/5) = 16/5 after simplification.\n</reasoning>\nFinal Answer: 16/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -8 = 922"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 30x = 930. Divide by 30: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 367 - 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 79 from 367: 367 - 79 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 15, 39, 13, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 40 - 4 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -26 = 538"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 12x = 564. Divide by 12: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "281 is what percentage of 299?"
},
{
"role": "assistant",
"content": "<reasoning>\n(281/299) × 100 = 93.9799%.\n</reasoning>\nFinal Answer: 93.9799%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 405 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 405 × (1 - 50/100) = 405 × 0.5 = 202.5.\n</reasoning>\nFinal Answer: 202.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 7% of 688?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 688 = (7/100) × 688 = 48.16.\n</reasoning>\nFinal Answer: 48.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 360 mod 591"
},
{
"role": "assistant",
"content": "<reasoning>\n360 mod 591: 360 = 591 × 0 + 360, so remainder = 360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 + 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/17 + 11/13. Common denominator = 221. Result = 343/221.\n</reasoning>\nFinal Answer: 343/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 43 = 2451.\n</reasoning>\nFinal Answer: 2451"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 45% of 711?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 711 = (45/100) × 711 = 319.95.\n</reasoning>\nFinal Answer: 319.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 2 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+2) × 8 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 630 km apart. Their speeds are 119 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+47=166 km/h. Time = 630/166 = 3.7952 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 4, 2, 7, 44, 6, 73, 46, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 4, 6, 7, 44, 46, 61, 63, 73]. Middle value(s) → median = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 981 km apart. Their speeds are 70 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+61=131 km/h. Time = 981/131 = 7.4885 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 12 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 55/60 = 12.9167 hours. Distance = speed × time = 142 × 12.9167 = 1834.1667 km.\n</reasoning>\nFinal Answer: 1834.1667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 9, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (41-1)×9 = 42 + 360 = 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 97 = 7372.\n</reasoning>\nFinal Answer: 7372"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 * 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/2) × (10/16) = (100/32) = 25/8 after simplification.\n</reasoning>\nFinal Answer: 25/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 / 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/18) ÷ (2/2) = (18/18) × (2/2) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -517 - 541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 541 from -517: -517 - 541 = -1058.\n</reasoning>\nFinal Answer: -1058"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 421?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 421 = (30/100) × 421 = 126.3.\n</reasoning>\nFinal Answer: 126.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 608 × 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 608 by 46: 608 × 46 = 27968.\n</reasoning>\nFinal Answer: 27968"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 399 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 399 × (1 - 15/100) = 399 × 0.85 = 339.15.\n</reasoning>\nFinal Answer: 339.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 - 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/20 - 9/3. LCD = 20. Result = -49/20.\n</reasoning>\nFinal Answer: -49/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 / 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/6) ÷ (5/5) = (4/6) × (5/5) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 694 ÷ -359"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 694 by -359. 694 ÷ -359 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 170 apples and buys 168 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 170 + 168 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 244 km apart. Their speeds are 66 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+78=144 km/h. Time = 244/144 = 1.6944 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -319 × 72"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -319 by 72: -319 × 72 = -22968.\n</reasoning>\nFinal Answer: -22968"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 49, 19, 6, 1, 43, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 256/7 = 36.5714.\n</reasoning>\nFinal Answer: 36.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 41 = 3362.\n</reasoning>\nFinal Answer: 3362"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1794. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1794 × 18/100 = 322.92. Total = 1794 + 322.92 = 2116.92.\n</reasoning>\nFinal Answer: 2116.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -259 ÷ -454"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -259 by -454. -259 ÷ -454 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -128 + 670"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -128 and 670: -128 + 670 = 542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 29, 8, 51, 19, 66, 56, 39, 1, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 1 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 129 ÷ -445"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 129 by -445. 129 ÷ -445 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 588 ÷ 959"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 588 by 959. 588 ÷ 959 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 49 * 22 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×22=1078, then 22+1078-26=1074.\n</reasoning>\nFinal Answer: 1074"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 996 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 996 × (1 + 10/100) = 996 × 1.1 = 1095.6.\n</reasoning>\nFinal Answer: 1095.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 40 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+40) × 13 = 578.5.\n</reasoning>\nFinal Answer: 578.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -298 ÷ -842"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -298 by -842. -298 ÷ -842 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 8 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 53/60 = 8.8833 hours. Distance = speed × time = 95 × 8.8833 = 843.9167 km.\n</reasoning>\nFinal Answer: 843.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 7 apples and buys 41 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 7 + 41 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 94 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(94,84) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -293 × -752"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -293 by -752: -293 × -752 = 220336.\n</reasoning>\nFinal Answer: 220336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 60 = 5520.\n</reasoning>\nFinal Answer: 5520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -678 + 957"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -678 and 957: -678 + 957 = 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 75, 47, 14, 12, 22, 8, 35, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 12, 14, 22, 35, 47, 73, 75, 97]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 768 - 714"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 714 from 768: 768 - 714 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 - 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/12 - 3/16. LCD = 16. Result = 5/16.\n</reasoning>\nFinal Answer: 5/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -13 = -3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 2x = 10. Divide by 2: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 26, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 26 + 30 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+24) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 101 km/h. How far does it travel in 2 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 55/60 = 2.9167 hours. Distance = speed × time = 101 × 2.9167 = 294.5833 km.\n</reasoning>\nFinal Answer: 294.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 14 = -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 11x = -55. Divide by 11: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [27, 51, 100, 89, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 48, 51, 89, 100]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 15] and B = [3, 4, 5, 7, 14, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 13, 15] and B = [1, 13, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 10, 14, 15].\n</reasoning>\nFinal Answer: [1, 6, 10, 14, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 169 km apart. Their speeds are 85 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+48=133 km/h. Time = 169/133 = 1.2707 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -425 + -134"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -425 and -134: -425 + -134 = -559.\n</reasoning>\nFinal Answer: -559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 2 = -526"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 24x = -528. Divide by 24: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [25, 92, 38, 32, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 92: 1, 38: 1, 32: 1, 73: 1}. Most frequent: [25, 92, 38, 32, 73].\n</reasoning>\nFinal Answer: [25, 92, 38, 32, 73]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -932 × -262"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -932 by -262: -932 × -262 = 244184.\n</reasoning>\nFinal Answer: 244184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -760 × -51"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -760 by -51: -760 × -51 = 38760.\n</reasoning>\nFinal Answer: 38760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 562 - 107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 107 from 562: 562 - 107 = 455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 15, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (47-1)×15 = 14 + 690 = 704.\n</reasoning>\nFinal Answer: 704"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 6 apples and buys 45 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 6 + 45 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"word_problem",
"applied_math"
] |
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