messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 43 + 25 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×43=387 and 25×35=875, then add: 1262.\n</reasoning>\nFinal Answer: 1262"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 18, 13, 33, 4, 41, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 227/7 = 32.4286.\n</reasoning>\nFinal Answer: 32.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -37 = 213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 25x = 250. Divide by 25: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 5% of 970?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 970 = (5/100) × 970 = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 50, 66, 90, 56, 63, 48, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 470/8 = 58.75.\n</reasoning>\nFinal Answer: 58.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹2671. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2671 × 5/100 = 133.55. Total = 2671 + 133.55 = 2804.55.\n</reasoning>\nFinal Answer: 2804.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 41, 8, 80, 17, 19, 2, 27, 56, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 271/10 = 27.1.\n</reasoning>\nFinal Answer: 27.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 448 ÷ 103"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 448 by 103. 448 ÷ 103 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 15, 16] and B = [8, 13, 15, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 8, 13, 15, 16, 18].\n</reasoning>\nFinal Answer: [3, 4, 8, 13, 15, 16, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 1, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (34-1)×1 = 40 + 33 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -25 = 295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 20x = 320. Divide by 20: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 852 - -943"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -943 from 852: 852 - -943 = 1795.\n</reasoning>\nFinal Answer: 1795"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 87, 66, 79, 62, 91, 95, 8, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 87: 1, 66: 1, 79: 1, 62: 1, 91: 1, 95: 1, 8: 1, 47: 1}. Most frequent: [19, 87, 66, 79, 62, 91, 95, 8, 47].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 * 4/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/20) × (4/8) = (28/160) = 7/40 after simplification.\n</reasoning>\nFinal Answer: 7/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 28 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 28 = 252 worker-days. New time = 252 / 17 = 14.8235 days.\n</reasoning>\nFinal Answer: 14.8235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -756 - 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 180 from -756: -756 - 180 = -936.\n</reasoning>\nFinal Answer: -936"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 34 = 2686.\n</reasoning>\nFinal Answer: 2686"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:1 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/1, so B = A × (1/31) = 44 × 1/31 = 1.4194.\n</reasoning>\nFinal Answer: 1.4194"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 2, 2, 89, 10, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 2 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:29 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/29, so B = A × (29/5) = 2 × 29/5 = 11.6.\n</reasoning>\nFinal Answer: 11.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34427 at 12% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34427 × 12 × 6 / 100 = 24787.44.\n</reasoning>\nFinal Answer: 24787.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 8, 18] and B = [4, 5, 6, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 6, 8, 15, 18].\n</reasoning>\nFinal Answer: [3, 5, 6, 8, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 20, and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 20 + 24 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 5 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(5+51) = 2×56 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹1454. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1454 × 5/100 = 72.7. Total = 1454 + 72.7 = 1526.7.\n</reasoning>\nFinal Answer: 1526.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 + 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/8 + 3/17. Common denominator = 68. Result = 165/68.\n</reasoning>\nFinal Answer: 165/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 6 = 468"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 11x = 462. Divide by 11: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 16, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (16-1)×16 = 13 + 240 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 876 km apart. Their speeds are 86 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+118=204 km/h. Time = 876/204 = 4.2941 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 64, 72, 93, 69, 44, 75, 15, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 64: 1, 72: 1, 93: 1, 69: 1, 44: 1, 75: 1, 15: 1, 100: 1}. Most frequent: [68, 64, 72, 93, 69, 44, 75, 15, 100].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 300 × 741"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 300 by 741: 300 × 741 = 222300.\n</reasoning>\nFinal Answer: 222300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 748 + -485"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 748 and -485: 748 + -485 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 133 mod -147"
},
{
"role": "assistant",
"content": "<reasoning>\n133 mod -147: 133 = -147 × -1 + -14, so remainder = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 574 + -917"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 574 and -917: 574 + -917 = -343.\n</reasoning>\nFinal Answer: -343"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 - 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/19 - 2/18. LCD = 171. Result = 134/171.\n</reasoning>\nFinal Answer: 134/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 2, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (26-1)×2 = 4 + 50 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -269 mod -130"
},
{
"role": "assistant",
"content": "<reasoning>\n-269 mod -130: -269 = -130 × 2 + -9, so remainder = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [4, 85, 26, 45, 42, 39, 45, 84, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 418/9 = 46.4444.\n</reasoning>\nFinal Answer: 46.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 891 ÷ 257"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 891 by 257. 891 ÷ 257 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -7 = 398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 27x = 405. Divide by 27: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 / 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/6) ÷ (3/17) = (11/6) × (17/3) = 187/18.\n</reasoning>\nFinal Answer: 187/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 42, 91, 80, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [42, 58, 80, 85, 91]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -449 × -678"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -449 by -678: -449 × -678 = 304422.\n</reasoning>\nFinal Answer: 304422"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 43, 10, 80, 43, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 271/6 = 45.1667.\n</reasoning>\nFinal Answer: 45.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 204 mod 844"
},
{
"role": "assistant",
"content": "<reasoning>\n204 mod 844: 204 = 844 × 0 + 204, so remainder = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 1000 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 1000 × (1 + 5/100) = 1000 × 1.05 = 1050.0.\n</reasoning>\nFinal Answer: 1050.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -910 - -687"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -687 from -910: -910 - -687 = -223.\n</reasoning>\nFinal Answer: -223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×28)/2 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 98, 21, 63, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 33, 63, 91, 98]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 3 + 3 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×3=51 and 3×4=12, then add: 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:47 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/47, so B = A × (47/6) = 4 × 47/6 = 31.3333.\n</reasoning>\nFinal Answer: 31.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 5% of 144?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 144 = (5/100) × 144 = 7.2.\n</reasoning>\nFinal Answer: 7.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 3, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (24-1)×3 = 9 + 69 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 + 20/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/18 + 20/17. Common denominator = 306. Result = 683/306.\n</reasoning>\nFinal Answer: 683/306"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [55, 76, 52, 75, 86, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 52 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 41 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 3+1681-43=1641.\n</reasoning>\nFinal Answer: 1641"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 160 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 160 × (1 + 7/100) = 160 × 1.07 = 171.2.\n</reasoning>\nFinal Answer: 171.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 6 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 6 × 20 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -695 mod 584"
},
{
"role": "assistant",
"content": "<reasoning>\n-695 mod 584: -695 = 584 × -2 + 473, so remainder = 473.\n</reasoning>\nFinal Answer: 473"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 * 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/17) × (13/1) = (39/17) = 39/17 after simplification.\n</reasoning>\nFinal Answer: 39/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 733 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 733 × (1 + 5/100) = 733 × 1.05 = 769.65.\n</reasoning>\nFinal Answer: 769.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 29) * (23 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+29)=65, (23-12)=11, then 65×11=715.\n</reasoning>\nFinal Answer: 715"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -787 + 896"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -787 and 896: -787 + 896 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 47 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 3+2209-30=2182.\n</reasoning>\nFinal Answer: 2182"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -45 = -551"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 23x = -506. Divide by 23: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 155 km/h. How far does it travel in 8 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 35/60 = 8.5833 hours. Distance = speed × time = 155 × 8.5833 = 1330.4167 km.\n</reasoning>\nFinal Answer: 1330.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -687 ÷ 165"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -687 by 165. -687 ÷ 165 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 12, 52, 100, 60, 17, 85, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 17, 52, 60, 65, 72, 85, 100]. Middle value(s) → median = 62.5.\n</reasoning>\nFinal Answer: 62.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 44) * (25 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+44)=88, (25-4)=21, then 88×21=1848.\n</reasoning>\nFinal Answer: 1848"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 86 = 7568.\n</reasoning>\nFinal Answer: 7568"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 95 = 8455.\n</reasoning>\nFinal Answer: 8455"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 60, 76, 93, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 60: 1, 76: 1, 93: 1, 98: 1}. Most frequent: [18, 60, 76, 93, 98].\n</reasoning>\nFinal Answer: [18, 60, 76, 93, 98]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×14)/7 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 23 + 17 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×23=184 and 17×37=629, then add: 813.\n</reasoning>\nFinal Answer: 813"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-40)x + (75) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -40² - 4×5×75 = 100. √discriminant = 10. x = (-(-40) ± 10) / (2×5). Solutions: x = 5 or x = 3.\n</reasoning>\nFinal Answer: x = 5 or x = 3"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "60 is what percentage of 201?"
},
{
"role": "assistant",
"content": "<reasoning>\n(60/201) × 100 = 29.8507%.\n</reasoning>\nFinal Answer: 29.8507%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:44 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/44, so B = A × (44/37) = 99 × 44/37 = 117.7297.\n</reasoning>\nFinal Answer: 117.7297"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 164 - -75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -75 from 164: 164 - -75 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 30 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(30+97) = 2×127 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹4469. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4469 × 5/100 = 223.45. Total = 4469 + 223.45 = 4692.45.\n</reasoning>\nFinal Answer: 4692.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 14, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (43-1)×14 = 44 + 588 = 632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 13 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 3+169-26=146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 20, 21, 24, 48, 36, 64, 75, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 21, 24, 36, 48, 64, 75, 92, 95]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 21, 48, 59, 73, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 332/6 = 55.3333.\n</reasoning>\nFinal Answer: 55.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 9 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(9+1) = 2×10 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -181 + -464"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -181 and -464: -181 + -464 = -645.\n</reasoning>\nFinal Answer: -645"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 179 km/h. How far does it travel in 11 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 20/60 = 11.3333 hours. Distance = speed × time = 179 × 11.3333 = 2028.6667 km.\n</reasoning>\nFinal Answer: 2028.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 94, 42, 50, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 25 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -148 ÷ 419"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -148 by 419. -148 ÷ 419 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 90% of 966?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 966 = (90/100) × 966 = 869.4.\n</reasoning>\nFinal Answer: 869.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 24 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 19x = 57. Divide by 19: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -407 ÷ -260"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -407 by -260. -407 ÷ -260 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 27, 16, 86, 82, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 16, 27, 57, 82, 86]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 710 mod 697"
},
{
"role": "assistant",
"content": "<reasoning>\n710 mod 697: 710 = 697 × 1 + 13, so remainder = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 33 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 46+1089-3=1132.\n</reasoning>\nFinal Answer: 1132"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 1, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (47-1)×1 = 13 + 46 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 236 × 464"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 236 by 464: 236 × 464 = 109504.\n</reasoning>\nFinal Answer: 109504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "32 is what percentage of 219?"
},
{
"role": "assistant",
"content": "<reasoning>\n(32/219) × 100 = 14.6119%.\n</reasoning>\nFinal Answer: 14.6119%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 45 + 15 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×45=135 and 15×8=120, then add: 255.\n</reasoning>\nFinal Answer: 255"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 * 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/12) × (15/19) = (165/228) = 55/76 after simplification.\n</reasoning>\nFinal Answer: 55/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
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