messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 46 * 44 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×44=2024, then 29+2024-41=2012.\n</reasoning>\nFinal Answer: 2012"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 75% of 564?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 564 = (75/100) × 564 = 423.0.\n</reasoning>\nFinal Answer: 423.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -617 - 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 180 from -617: -617 - 180 = -797.\n</reasoning>\nFinal Answer: -797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 + 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/11 + 13/15. Common denominator = 165. Result = 263/165.\n</reasoning>\nFinal Answer: 263/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "14 is what percentage of 38?"
},
{
"role": "assistant",
"content": "<reasoning>\n(14/38) × 100 = 36.8421%.\n</reasoning>\nFinal Answer: 36.8421%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 174 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 174 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 32 = 1408.\n</reasoning>\nFinal Answer: 1408"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:43 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/43, so B = A × (43/43) = 88 × 43/43 = 88.0.\n</reasoning>\nFinal Answer: 88.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 - 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/6 - 20/2. LCD = 3. Result = -28/3.\n</reasoning>\nFinal Answer: -28/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "243 is what percentage of 408?"
},
{
"role": "assistant",
"content": "<reasoning>\n(243/408) × 100 = 59.5588%.\n</reasoning>\nFinal Answer: 59.5588%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 304 + -700"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 304 and -700: 304 + -700 = -396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "459 is what percentage of 741?"
},
{
"role": "assistant",
"content": "<reasoning>\n(459/741) × 100 = 61.9433%.\n</reasoning>\nFinal Answer: 61.9433%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 57 ÷ -86"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 57 by -86. 57 ÷ -86 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 65% of 872?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 872 = (65/100) × 872 = 566.8.\n</reasoning>\nFinal Answer: 566.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 67 = 938.\n</reasoning>\nFinal Answer: 938"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [82, 80, 31, 29, 20, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {82: 1, 80: 1, 31: 1, 29: 1, 20: 1, 100: 1}. Most frequent: [82, 80, 31, 29, 20, 100].\n</reasoning>\nFinal Answer: [82, 80, 31, 29, 20, 100]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 17 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+17) × 3 = 100.5.\n</reasoning>\nFinal Answer: 100.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 69, 46, 47, 53, 70, 54, 11, 89, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 542/10 = 54.2.\n</reasoning>\nFinal Answer: 54.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 6 = -716"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 19x = -722. Divide by 19: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 71 = 1775.\n</reasoning>\nFinal Answer: 1775"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 90% of 949?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 949 = (90/100) × 949 = 854.1.\n</reasoning>\nFinal Answer: 854.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 * 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/3) × (2/7) = (28/21) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:38 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/38, so B = A × (38/14) = 70 × 38/14 = 190.0.\n</reasoning>\nFinal Answer: 190.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 26 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 42+676-26=692.\n</reasoning>\nFinal Answer: 692"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 346 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 346 × (1 + 40/100) = 346 × 1.4 = 484.4.\n</reasoning>\nFinal Answer: 484.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 10 * 19 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×19=190, then 31+190-27=194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 24 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+24) × 33 = 957.0.\n</reasoning>\nFinal Answer: 957.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 54, 4, 62, 77, 9, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 303/7 = 43.2857.\n</reasoning>\nFinal Answer: 43.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 153 and 143."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(153,143) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 16, 17] and B = [3, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 16, 17].\n</reasoning>\nFinal Answer: [3, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 5% of 413?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 413 = (5/100) × 413 = 20.65.\n</reasoning>\nFinal Answer: 20.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 * 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/13) × (16/2) = (192/26) = 96/13 after simplification.\n</reasoning>\nFinal Answer: 96/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 9 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 40/60 = 9.6667 hours. Distance = speed × time = 150 × 9.6667 = 1450.0 km.\n</reasoning>\nFinal Answer: 1450.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 32 * 5 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×5=160, then 16+160-50=126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 24, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 24 + 34 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 + 14/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/19 + 14/18. Common denominator = 171. Result = 160/171.\n</reasoning>\nFinal Answer: 160/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 733 mod 185"
},
{
"role": "assistant",
"content": "<reasoning>\n733 mod 185: 733 = 185 × 3 + 178, so remainder = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 2 = 142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 28x = 140. Divide by 28: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -368 + 28"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -368 and 28: -368 + 28 = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 11, 17, 19] and B = [10, 12, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 9, 11, 17, 19].\n</reasoning>\nFinal Answer: [4, 9, 11, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 9, 15, 16] and B = [11, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 6, 9, 15, 16].\n</reasoning>\nFinal Answer: [2, 4, 6, 9, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 38 = 2546.\n</reasoning>\nFinal Answer: 2546"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 39 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 39 × 61 = 2379.\n</reasoning>\nFinal Answer: 2379"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -29 = 515"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 16x = 544. Divide by 16: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 95, 46, 84, 38, 51, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 38 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 6 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 6 = 48 worker-days. New time = 48 / 11 = 4.3636 days.\n</reasoning>\nFinal Answer: 4.3636"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 96 = 5568.\n</reasoning>\nFinal Answer: 5568"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 139 mod 595"
},
{
"role": "assistant",
"content": "<reasoning>\n139 mod 595: 139 = 595 × 0 + 139, so remainder = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 14 = 644.0.\n</reasoning>\nFinal Answer: 644.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 101 km/h. How far does it travel in 5 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 1/60 = 5.0167 hours. Distance = speed × time = 101 × 5.0167 = 506.6833 km.\n</reasoning>\nFinal Answer: 506.6833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 87, 95, 65, 4, 30, 76, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 477/8 = 59.625.\n</reasoning>\nFinal Answer: 59.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 532 + 873"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 532 and 873: 532 + 873 = 1405.\n</reasoning>\nFinal Answer: 1405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 883 - -121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -121 from 883: 883 - -121 = 1004.\n</reasoning>\nFinal Answer: 1004"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "124 is what percentage of 338?"
},
{
"role": "assistant",
"content": "<reasoning>\n(124/338) × 100 = 36.6864%.\n</reasoning>\nFinal Answer: 36.6864%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 36 = 3060.\n</reasoning>\nFinal Answer: 3060"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -446 × 532"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -446 by 532: -446 × 532 = -237272.\n</reasoning>\nFinal Answer: -237272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 633 - -362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -362 from 633: 633 - -362 = 995.\n</reasoning>\nFinal Answer: 995"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:17 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/17, so B = A × (17/4) = 75 × 17/4 = 318.75.\n</reasoning>\nFinal Answer: 318.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "848 is what percentage of 952?"
},
{
"role": "assistant",
"content": "<reasoning>\n(848/952) × 100 = 89.0756%.\n</reasoning>\nFinal Answer: 89.0756%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 18 + 7 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×18=828 and 7×3=21, then add: 849.\n</reasoning>\nFinal Answer: 849"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 689 km apart. Their speeds are 110 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+99=209 km/h. Time = 689/209 = 3.2967 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -48 = -1458"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 30x = -1410. Divide by 30: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 28, 32, 36, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 4. Next term = 40 + 4 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 683 × -328"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 683 by -328: 683 × -328 = -224024.\n</reasoning>\nFinal Answer: -224024"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 191."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 191 by smallest primes repeatedly: 191 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "17 is what percentage of 36?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/36) × 100 = 47.2222%.\n</reasoning>\nFinal Answer: 47.2222%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 144 apples and buys 117 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 144 + 117 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 332 mod 722"
},
{
"role": "assistant",
"content": "<reasoning>\n332 mod 722: 332 = 722 × 0 + 332, so remainder = 332.\n</reasoning>\nFinal Answer: 332"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "89 is what percentage of 151?"
},
{
"role": "assistant",
"content": "<reasoning>\n(89/151) × 100 = 58.9404%.\n</reasoning>\nFinal Answer: 58.9404%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 774 - 548"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 548 from 774: 774 - 548 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 46 = 851.0.\n</reasoning>\nFinal Answer: 851.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 46 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 46 × 70 = 3220.\n</reasoning>\nFinal Answer: 3220"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4227. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4227 × 18/100 = 760.86. Total = 4227 + 760.86 = 4987.86.\n</reasoning>\nFinal Answer: 4987.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:9 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/9, so B = A × (9/22) = 100 × 9/22 = 40.9091.\n</reasoning>\nFinal Answer: 40.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 185 apples and buys 51 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 185 + 51 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 42 = 1008.\n</reasoning>\nFinal Answer: 1008"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 13 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 13 × 46 = 598.\n</reasoning>\nFinal Answer: 598"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 11 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 32+121-1=152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 + 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/1 + 14/9. Common denominator = 9. Result = 68/9.\n</reasoning>\nFinal Answer: 68/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [100, 28, 3, 3, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {100: 1, 28: 1, 3: 2, 20: 1}. Most frequent: 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 43) * (13 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+43)=75, (13-16)=-3, then 75×-3=-225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 917 km apart. Their speeds are 49 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+68=117 km/h. Time = 917/117 = 7.8376 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 44 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 44 × 91 = 4004.\n</reasoning>\nFinal Answer: 4004"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -823 - 627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 627 from -823: -823 - 627 = -1450.\n</reasoning>\nFinal Answer: -1450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 91, 40, 74, 86, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 340/6 = 56.6667.\n</reasoning>\nFinal Answer: 56.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20578 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20578 × 1 × 8 / 100 = 1646.24.\n</reasoning>\nFinal Answer: 1646.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 0 = 744"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 24x = 744. Divide by 24: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 13, 38, 69, 69, 23, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 13: 1, 38: 1, 69: 2, 23: 1, 92: 1}. Most frequent: 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -220 - -233"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -233 from -220: -220 - -233 = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 86, 99, 73, 6, 43, 71, 48, 69, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 1, 86: 1, 99: 1, 73: 1, 6: 1, 43: 1, 71: 1, 48: 1, 69: 1, 24: 1}. Most frequent: [75, 86, 99, 73, 6, 43, 71, 48, 69, 24].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -43 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 2x = 90. Divide by 2: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4591 at 3% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4591 × 3 × 1 / 100 = 137.73.\n</reasoning>\nFinal Answer: 137.73"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1254. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1254 × 18/100 = 225.72. Total = 1254 + 225.72 = 1479.72.\n</reasoning>\nFinal Answer: 1479.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 70 = 1190.0.\n</reasoning>\nFinal Answer: 1190.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 58, 13, 100, 73, 26, 31, 80, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 13 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/17 + 4/13. Common denominator = 221. Result = 81/221.\n</reasoning>\nFinal Answer: 81/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:44 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/44, so B = A × (44/45) = 38 × 44/45 = 37.1556.\n</reasoning>\nFinal Answer: 37.1556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 358 ÷ 691"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 358 by 691. 358 ÷ 691 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 39 = 503"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 16x = 464. Divide by 16: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 10, 16, 17, 18] and B = [3, 13, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 10, 13, 14, 16, 17, 18].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
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