messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 110 km/h. How far does it travel in 11 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 32/60 = 11.5333 hours. Distance = speed × time = 110 × 11.5333 = 1268.6667 km.\n</reasoning>\nFinal Answer: 1268.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 12, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (18-1)×12 = 49 + 204 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -13 = 367"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 10x = 380. Divide by 10: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 10, 63, 47, 25, 69, 91, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 409/8 = 51.125.\n</reasoning>\nFinal Answer: 51.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -29 mod 805"
},
{
"role": "assistant",
"content": "<reasoning>\n-29 mod 805: -29 = 805 × -1 + 776, so remainder = 776.\n</reasoning>\nFinal Answer: 776"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 255?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 255 = (15/100) × 255 = 38.25.\n</reasoning>\nFinal Answer: 38.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 43 mod 621"
},
{
"role": "assistant",
"content": "<reasoning>\n43 mod 621: 43 = 621 × 0 + 43, so remainder = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 702 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 702 × (1 + 3/100) = 702 × 1.03 = 723.06.\n</reasoning>\nFinal Answer: 723.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 22, 24, 9, 80, 67, 21, 94, 51, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 3 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 773 - 844"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 844 from 773: 773 - 844 = -71.\n</reasoning>\nFinal Answer: -71"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:29 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/29, so B = A × (29/38) = 46 × 29/38 = 35.1053.\n</reasoning>\nFinal Answer: 35.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 29 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 15+841-2=854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 8, 12, 13] and B = [4, 9, 19], 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": "Evaluate using order of operations: 43 + 8 * 28 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×28=224, then 43+224-39=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 35 = -420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 13x = -455. Divide by 13: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 197 km/h. How far does it travel in 4 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 34/60 = 4.5667 hours. Distance = speed × time = 197 × 4.5667 = 899.6333 km.\n</reasoning>\nFinal Answer: 899.6333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 51."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 51 by smallest primes repeatedly: 51 = 3 × 17.\n</reasoning>\nFinal Answer: 3 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Decrease 517 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 517 × (1 - 65/100) = 517 × 0.35 = 180.95.\n</reasoning>\nFinal Answer: 180.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2382. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2382 × 18/100 = 428.76. Total = 2382 + 428.76 = 2810.76.\n</reasoning>\nFinal Answer: 2810.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -39 = 451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 14x = 490. Divide by 14: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 808 + 366"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 808 and 366: 808 + 366 = 1174.\n</reasoning>\nFinal Answer: 1174"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:6 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/6, so B = A × (6/15) = 7 × 6/15 = 2.8.\n</reasoning>\nFinal Answer: 2.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -993 × -824"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -993 by -824: -993 × -824 = 818232.\n</reasoning>\nFinal Answer: 818232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 * 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/6) × (8/3) = (104/18) = 52/9 after simplification.\n</reasoning>\nFinal Answer: 52/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 / 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/11) ÷ (12/13) = (10/11) × (13/12) = 65/66.\n</reasoning>\nFinal Answer: 65/66"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 56 = 4984.\n</reasoning>\nFinal Answer: 4984"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 41, 86, 52, 35, 19, 1, 31, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 11, 19, 25, 31, 35, 41, 52, 86]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -50 = 496"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 26x = 546. Divide by 26: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 499 km apart. Their speeds are 113 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+54=167 km/h. Time = 499/167 = 2.988 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 23, 46, 40, 37, 91, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 2 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×26)/2 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 505 km apart. Their speeds are 85 km/h and 42 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+42=127 km/h. Time = 505/127 = 3.9764 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 * 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/15) × (20/6) = (380/90) = 38/9 after simplification.\n</reasoning>\nFinal Answer: 38/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 761 mod -465"
},
{
"role": "assistant",
"content": "<reasoning>\n761 mod -465: 761 = -465 × -2 + -169, so remainder = -169.\n</reasoning>\nFinal Answer: -169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3517. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3517 × 18/100 = 633.06. Total = 3517 + 633.06 = 4150.06.\n</reasoning>\nFinal Answer: 4150.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 4 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 4/8 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -33 = -410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 13x = -377. Divide by 13: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -941 × 987"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -941 by 987: -941 × 987 = -928767.\n</reasoning>\nFinal Answer: -928767"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 31 = 1240.\n</reasoning>\nFinal Answer: 1240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 17 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+17) × 30 = 645.0.\n</reasoning>\nFinal Answer: 645.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 70, 91, 9, 61, 25, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 13, 25, 49, 61, 70, 91]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 243 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 243 × (1 - 75/100) = 243 × 0.25 = 60.75.\n</reasoning>\nFinal Answer: 60.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:18 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/18, so B = A × (18/10) = 85 × 18/10 = 153.0.\n</reasoning>\nFinal Answer: 153.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 48 = 230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 7x = 182. Divide by 7: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 25 * 32 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×32=800, then 3+800-15=788.\n</reasoning>\nFinal Answer: 788"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 75 = 4725.\n</reasoning>\nFinal Answer: 4725"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 639 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 639 × (1 + 60/100) = 639 × 1.6 = 1022.4.\n</reasoning>\nFinal Answer: 1022.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -35 = -27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 2x = 8. Divide by 2: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 46 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 1x = -3. Divide by 1: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×39)/1 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 6 + 39 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×6=276 and 39×16=624, then add: 900.\n</reasoning>\nFinal Answer: 900"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 340."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 340 by smallest primes repeatedly: 340 = 2 × 2 × 5 × 17.\n</reasoning>\nFinal Answer: 2 × 2 × 5 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "What is 20% of 573?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 573 = (20/100) × 573 = 114.6.\n</reasoning>\nFinal Answer: 114.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 78 = 546.\n</reasoning>\nFinal Answer: 546"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/5) × (13/18) = (208/90) = 104/45 after simplification.\n</reasoning>\nFinal Answer: 104/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "444 is what percentage of 448?"
},
{
"role": "assistant",
"content": "<reasoning>\n(444/448) × 100 = 99.1071%.\n</reasoning>\nFinal Answer: 99.1071%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 5, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (12-1)×5 = 8 + 55 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -518 mod -326"
},
{
"role": "assistant",
"content": "<reasoning>\n-518 mod -326: -518 = -326 × 1 + -192, so remainder = -192.\n</reasoning>\nFinal Answer: -192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:16 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/16, so B = A × (16/21) = 73 × 16/21 = 55.619.\n</reasoning>\nFinal Answer: 55.619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 5 and 58."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(5,58) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 16, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (45-1)×16 = 18 + 704 = 722.\n</reasoning>\nFinal Answer: 722"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 8 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 1+64-8=57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 - 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/20 - 3/6. LCD = 20. Result = -3/20.\n</reasoning>\nFinal Answer: -3/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:30 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/30, so B = A × (30/1) = 15 × 30/1 = 450.0.\n</reasoning>\nFinal Answer: 450.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2954. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2954 × 18/100 = 531.72. Total = 2954 + 531.72 = 3485.72.\n</reasoning>\nFinal Answer: 3485.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 13] and B = [7, 9, 10, 13, 14, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 8].\n</reasoning>\nFinal Answer: [5, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 4 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 2/60 = 4.0333 hours. Distance = speed × time = 116 × 4.0333 = 467.8667 km.\n</reasoning>\nFinal Answer: 467.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/10 - 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/10 - 7/1. LCD = 5. Result = -29/5.\n</reasoning>\nFinal Answer: -29/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 18 + 31 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×18=18 and 31×43=1333, then add: 1351.\n</reasoning>\nFinal Answer: 1351"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 - 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/18 - 9/17. LCD = 102. Result = 31/102.\n</reasoning>\nFinal Answer: 31/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (21)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 21² - 4×3×-90 = 1521. √discriminant = 39. x = (-(21) ± 39) / (2×3). Solutions: x = -10 or x = 3.\n</reasoning>\nFinal Answer: x = -10 or x = 3"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -31 = -1111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 30x = -1080. Divide by 30: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 56, 33, 87, 44, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 33, 44, 56, 70, 87]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 10 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 48+100-31=117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2729. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2729 × 5/100 = 136.45. Total = 2729 + 136.45 = 2865.45.\n</reasoning>\nFinal Answer: 2865.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 10, and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 10 + 13 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 79, 55, 79, 30, 55, 33, 16, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 79: 2, 55: 2, 30: 1, 33: 1, 16: 1, 95: 1}. Most frequent: [79, 55].\n</reasoning>\nFinal Answer: [79, 55]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 193 km/h. How far does it travel in 3 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 34/60 = 3.5667 hours. Distance = speed × time = 193 × 3.5667 = 688.3667 km.\n</reasoning>\nFinal Answer: 688.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 5, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (24-1)×5 = 39 + 115 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 18 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 50+324-16=358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 58, 53, 90, 39, 29, 35, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 415/8 = 51.875.\n</reasoning>\nFinal Answer: 51.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -296 mod 352"
},
{
"role": "assistant",
"content": "<reasoning>\n-296 mod 352: -296 = 352 × -1 + 56, so remainder = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 29 = 846"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 19x = 817. Divide by 19: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 2 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 2/6 = 0.3333.\n</reasoning>\nFinal Answer: 0.3333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46528 at 12% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46528 × 12 × 9 / 100 = 50250.24.\n</reasoning>\nFinal Answer: 50250.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 127 km/h. How far does it travel in 11 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 12/60 = 11.2000 hours. Distance = speed × time = 127 × 11.2000 = 1422.4 km.\n</reasoning>\nFinal Answer: 1422.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 788 km apart. Their speeds are 72 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+95=167 km/h. Time = 788/167 = 4.7186 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 868 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 868 × (1 - 80/100) = 868 × 0.19999999999999996 = 173.6.\n</reasoning>\nFinal Answer: 173.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-4)x + (-160) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×2×-160 = 1296. √discriminant = 36. x = (-(-4) ± 36) / (2×2). Solutions: x = -8 or x = 10.\n</reasoning>\nFinal Answer: x = -8 or x = 1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 967 + -989"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 967 and -989: 967 + -989 = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 * 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/2) × (5/1) = (25/2) = 25/2 after simplification.\n</reasoning>\nFinal Answer: 25/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:34 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/34, so B = A × (34/45) = 2 × 34/45 = 1.5111.\n</reasoning>\nFinal Answer: 1.5111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 451 + 663"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 451 and 663: 451 + 663 = 1114.\n</reasoning>\nFinal Answer: 1114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×40)/4 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -698 × 64"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -698 by 64: -698 × 64 = -44672.\n</reasoning>\nFinal Answer: -44672"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 37 = 3626.\n</reasoning>\nFinal Answer: 3626"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 362 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 362 × (1 + 90/100) = 362 × 1.9 = 687.8.\n</reasoning>\nFinal Answer: 687.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 44 + 39 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×44=484 and 39×32=1248, then add: 1732.\n</reasoning>\nFinal Answer: 1732"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 49 = 140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 13x = 91. Divide by 13: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 234 km apart. Their speeds are 63 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 63+54=117 km/h. Time = 234/117 = 2.0 hours.\n</reasoning>\nFinal Answer: 2... | medium | [
"word_problem",
"applied_math"
] |
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