messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -319 ÷ 356"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -319 by 356. -319 ÷ 356 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 951 - -960"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -960 from 951: 951 - -960 = 1911.\n</reasoning>\nFinal Answer: 1911"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 8, 16] and B = [4, 8, 10, 12, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 6, 7].\n</reasoning>\nFinal Answer: [2, 6, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 24, 85, 57, 42, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 267/6 = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -739 ÷ 329"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -739 by 329. -739 ÷ 329 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 19 = -506"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 21x = -525. Divide by 21: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/9 + 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/9 + 5/17. Common denominator = 51. Result = 100/51.\n</reasoning>\nFinal Answer: 100/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 61, 59, 80, 15, 71, 63, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 410/8 = 51.25.\n</reasoning>\nFinal Answer: 51.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 32 = 338"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 9x = 306. Divide by 9: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -669 - -982"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -982 from -669: -669 - -982 = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 27 = 2295.\n</reasoning>\nFinal Answer: 2295"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 934 - 482"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 482 from 934: 934 - 482 = 452.\n</reasoning>\nFinal Answer: 452"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:15 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/15, so B = A × (15/36) = 56 × 15/36 = 23.3333.\n</reasoning>\nFinal Answer: 23.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 813 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 813 × (1 + 3/100) = 813 × 1.03 = 837.39.\n</reasoning>\nFinal Answer: 837.39"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 522 ÷ -704"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 522 by -704. 522 ÷ -704 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 38, 97, 23, 50, 81, 39, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 443/8 = 55.375.\n</reasoning>\nFinal Answer: 55.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10291 at 18% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10291 × 18 × 8 / 100 = 14819.04.\n</reasoning>\nFinal Answer: 14819.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 9 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 18+81-16=83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 16 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 3x = -84. Divide by 3: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:2 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/2, so B = A × (2/26) = 63 × 2/26 = 4.8462.\n</reasoning>\nFinal Answer: 4.8462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 755 km apart. Their speeds are 109 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+53=162 km/h. Time = 755/162 = 4.6605 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 46 = -136"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 14x = -182. Divide by 14: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 19) * (47 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+19)=23, (47-44)=3, then 23×3=69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 29, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 29 + 30 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 35, 62, 39, 91, 99, 33, 11, 17, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 510/10 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39798 at 6% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39798 × 6 × 8 / 100 = 19103.04.\n</reasoning>\nFinal Answer: 19103.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 30 + 21 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×30=1350 and 21×1=21, then add: 1371.\n</reasoning>\nFinal Answer: 1371"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:21 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/21, so B = A × (21/35) = 41 × 21/35 = 24.6.\n</reasoning>\nFinal Answer: 24.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 8 = -938"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 22x = -946. Divide by 22: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 9, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (45-1)×9 = 26 + 396 = 422.\n</reasoning>\nFinal Answer: 422"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 9, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (14-1)×9 = 34 + 117 = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 434 mod 23"
},
{
"role": "assistant",
"content": "<reasoning>\n434 mod 23: 434 = 23 × 18 + 20, so remainder = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 - 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/18 - 8/20. LCD = 45. Result = 22/45.\n</reasoning>\nFinal Answer: 22/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 159 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 * 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/18) × (9/16) = (126/288) = 7/16 after simplification.\n</reasoning>\nFinal Answer: 7/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 39 = 1423.5.\n</reasoning>\nFinal Answer: 1423.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 3, 48, 7, 67, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 3: 1, 48: 1, 7: 1, 67: 1, 32: 1}. Most frequent: [63, 3, 48, 7, 67, 32].\n</reasoning>\nFinal Answer: [63, 3, 48, 7, 67, 32]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 233 mod -666"
},
{
"role": "assistant",
"content": "<reasoning>\n233 mod -666: 233 = -666 × -1 + -433, so remainder = -433.\n</reasoning>\nFinal Answer: -433"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 143 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 143 × (1 - 70/100) = 143 × 0.30000000000000004 = 42.9.\n</reasoning>\nFinal Answer: 42.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 25% of 813?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 813 = (25/100) × 813 = 203.25.\n</reasoning>\nFinal Answer: 203.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 5 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 5 = 60 worker-days. New time = 60 / 15 = 4.0 days.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "351 is what percentage of 997?"
},
{
"role": "assistant",
"content": "<reasoning>\n(351/997) × 100 = 35.2056%.\n</reasoning>\nFinal Answer: 35.2056%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+21) = 2×77 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 789 + -804"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 789 and -804: 789 + -804 = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 21 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 21 = 84 worker-days. New time = 84 / 4 = 21.0 days.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 38, 33, 72, 17, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 17 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 662 × -947"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 662 by -947: 662 × -947 = -626914.\n</reasoning>\nFinal Answer: -626914"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 70, 3, 77, 99, 24, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 24, 63, 70, 77, 92, 99]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -255 - -692"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -692 from -255: -255 - -692 = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -1 = 753"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 29x = 754. Divide by 29: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 25 + 5 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×25=550 and 5×41=205, then add: 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -402 × 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -402 by 15: -402 × 15 = -6030.\n</reasoning>\nFinal Answer: -6030"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+48) = 2×89 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -951 × 340"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -951 by 340: -951 × 340 = -323340.\n</reasoning>\nFinal Answer: -323340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 720?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 720 = (75/100) × 720 = 540.0.\n</reasoning>\nFinal Answer: 540.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -47 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 10x = 60. Divide by 10: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 80 = 7120.\n</reasoning>\nFinal Answer: 7120"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 5 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 3/60 = 5.0500 hours. Distance = speed × time = 57 × 5.0500 = 287.85 km.\n</reasoning>\nFinal Answer: 287.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 8, 9, 10, 13, 17, 19] and B = [6, 7, 8, 12, 15, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 19].\n</reasoning>\nFinal Answer... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 344 km apart. Their speeds are 83 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+92=175 km/h. Time = 344/175 = 1.9657 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 12) * (40 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+12)=46, (40-22)=18, then 46×18=828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1694. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1694 × 12/100 = 203.28. Total = 1694 + 203.28 = 1897.28.\n</reasoning>\nFinal Answer: 1897.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 * 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/13) × (13/3) = (52/39) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 19) * (41 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+19)=53, (41-48)=-7, then 53×-7=-371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 442 mod -765"
},
{
"role": "assistant",
"content": "<reasoning>\n442 mod -765: 442 = -765 × -1 + -323, so remainder = -323.\n</reasoning>\nFinal Answer: -323"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 63 = 3402.\n</reasoning>\nFinal Answer: 3402"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 407 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 407 × (1 + 17/100) = 407 × 1.17 = 476.19.\n</reasoning>\nFinal Answer: 476.19"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 289 + 278"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 289 and 278: 289 + 278 = 567.\n</reasoning>\nFinal Answer: 567"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -44 = 796"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 24x = 840. Divide by 24: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 30, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 30 + 39 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 30 = 710"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 17x = 680. Divide by 17: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 - 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/9 - 17/9. LCD = 9. Result = -7/9.\n</reasoning>\nFinal Answer: -7/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 353 km apart. Their speeds are 89 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+82=171 km/h. Time = 353/171 = 2.0643 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 - 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/17 - 4/2. LCD = 17. Result = -14/17.\n</reasoning>\nFinal Answer: -14/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 25% of 227?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 227 = (25/100) × 227 = 56.75.\n</reasoning>\nFinal Answer: 56.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 16 = 286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 27x = 270. Divide by 27: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 * 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/10) × (3/16) = (18/160) = 9/80 after simplification.\n</reasoning>\nFinal Answer: 9/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 65 = 5395.\n</reasoning>\nFinal Answer: 5395"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 5 = 162.5.\n</reasoning>\nFinal Answer: 162.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 28 and 64."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(28,64) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 11/11 * 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/11) × (20/8) = (220/88) = 5/2 after simplification.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -49 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 4x = 108. Divide by 4: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 44 = -131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 7x = -175. Divide by 7: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 18 = -432"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 9x = -450. Divide by 9: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -8 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 4x = 24. Divide by 4: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:29 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/29, so B = A × (29/44) = 98 × 29/44 = 64.5909.\n</reasoning>\nFinal Answer: 64.5909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 * 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/1) × (15/3) = (300/3) = 100 after simplification.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -36 = -74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 1x = -38. Divide by 1: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 40 = -515"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 15x = -555. Divide by 15: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 17 + 38 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×17=340 and 38×22=836, then add: 1176.\n</reasoning>\nFinal Answer: 1176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 72, 77, 51, 48, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [35, 48, 51, 72, 77, 95]. Middle value(s) → median = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "878 is what percentage of 931?"
},
{
"role": "assistant",
"content": "<reasoning>\n(878/931) × 100 = 94.3072%.\n</reasoning>\nFinal Answer: 94.3072%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 287 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 287 × (1 + 15/100) = 287 × 1.15 = 330.05.\n</reasoning>\nFinal Answer: 330.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 33 = -345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 27x = -378. Divide by 27: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 90% of 61?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 61 = (90/100) × 61 = 54.9.\n</reasoning>\nFinal Answer: 54.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 47 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 21+2209-10=2220.\n</reasoning>\nFinal Answer: 2220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:48 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/48, so B = A × (48/48) = 27 × 48/48 = 27.0.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 + 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/2 + 19/18. Common denominator = 18. Result = 68/9.\n</reasoning>\nFinal Answer: 68/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 69 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(69,17) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:2 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/2, so B = A × (2/10) = 94 × 2/10 = 18.8.\n</reasoning>\nFinal Answer: 18.8"
}
] | medium | [
"ratio",
"proportion"
] |
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