messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 48) * (26 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+48)=75, (26-27)=-1, then 75×-1=-75.\n</reasoning>\nFinal Answer: -75"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 151 + 378"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 151 and 378: 151 + 378 = 529.\n</reasoning>\nFinal Answer: 529"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 76, 59, 59, 83, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 395/6 = 65.8333.\n</reasoning>\nFinal Answer: 65.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:8 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/8, so B = A × (8/23) = 21 × 8/23 = 7.3043.\n</reasoning>\nFinal Answer: 7.3043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 175 and 71."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(175,71) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 485 mod 857"
},
{
"role": "assistant",
"content": "<reasoning>\n485 mod 857: 485 = 857 × 0 + 485, so remainder = 485.\n</reasoning>\nFinal Answer: 485"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 / 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/14) ÷ (14/10) = (15/14) × (10/14) = 75/98.\n</reasoning>\nFinal Answer: 75/98"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:34 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/34, so B = A × (34/49) = 40 × 34/49 = 27.7551.\n</reasoning>\nFinal Answer: 27.7551"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 - 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/18 - 20/20. LCD = 18. Result = -1/18.\n</reasoning>\nFinal Answer: -1/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 65, 29, 80, 6, 87, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 339/7 = 48.4286.\n</reasoning>\nFinal Answer: 48.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 8, 14, 16, 18] and B = [7, 15, 17], 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": "Calculate: -150 × 986"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -150 by 986: -150 × 986 = -147900.\n</reasoning>\nFinal Answer: -147900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 8, 11, 12, 14, 19] and B = [2, 5, 10, 13, 15, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 5, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19].\n</reasoning>\nFinal An... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 32, 34, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 32 + 34 + 36 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 53, 98, 67, 32, 13, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 399/7 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40225 at 14% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40225 × 14 × 4 / 100 = 22526.0.\n</reasoning>\nFinal Answer: 22526.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 852 mod -783"
},
{
"role": "assistant",
"content": "<reasoning>\n852 mod -783: 852 = -783 × -2 + -714, so remainder = -714.\n</reasoning>\nFinal Answer: -714"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 * 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/15) × (3/12) = (24/180) = 2/15 after simplification.\n</reasoning>\nFinal Answer: 2/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 7, 10, 13, 14, 17] and B = [10, 11, 13, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 5, 6, 7, 14].\n</reasoning>\nFinal Answer: [1, 5, 6, 7, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:49 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/49, so B = A × (49/8) = 6 × 49/8 = 36.75.\n</reasoning>\nFinal Answer: 36.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 35 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 39+1225-34=1230.\n</reasoning>\nFinal Answer: 1230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 348 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 348 × (1 - 17/100) = 348 × 0.83 = 288.84.\n</reasoning>\nFinal Answer: 288.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 14 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 6+196-41=161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 10% of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 488 = (10/100) × 488 = 48.8.\n</reasoning>\nFinal Answer: 48.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 48) * (37 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+48)=89, (37-14)=23, then 89×23=2047.\n</reasoning>\nFinal Answer: 2047"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 42?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 42 = (15/100) × 42 = 6.3.\n</reasoning>\nFinal Answer: 6.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×17)/1 = 357.\n</reasoning>\nFinal Answer: 357"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 84, 86, 35, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 84: 2, 86: 1, 35: 1}. Most frequent: 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 65, 79, 81, 3, 91, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 41, 65, 70, 79, 81, 91]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -850 + 591"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -850 and 591: -850 + 591 = -259.\n</reasoning>\nFinal Answer: -259"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 5 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 52/60 = 5.8667 hours. Distance = speed × time = 118 × 5.8667 = 692.2667 km.\n</reasoning>\nFinal Answer: 692.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 + 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/18 + 7/2. Common denominator = 6. Result = 25/6.\n</reasoning>\nFinal Answer: 25/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 472 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 472 × (1 + 20/100) = 472 × 1.2 = 566.4.\n</reasoning>\nFinal Answer: 566.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 9 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 41/60 = 9.6833 hours. Distance = speed × time = 46 × 9.6833 = 445.4333 km.\n</reasoning>\nFinal Answer: 445.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 8 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 8 = 112 worker-days. New time = 112 / 17 = 6.5882 days.\n</reasoning>\nFinal Answer: 6.5882"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 * 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/13) × (8/8) = (136/104) = 17/13 after simplification.\n</reasoning>\nFinal Answer: 17/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "142 is what percentage of 339?"
},
{
"role": "assistant",
"content": "<reasoning>\n(142/339) × 100 = 41.8879%.\n</reasoning>\nFinal Answer: 41.8879%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 40 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 11+1600-50=1561.\n</reasoning>\nFinal Answer: 1561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 43, 50, 57, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 7. Next term = 64 + 7 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 57, 44, 55, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 20 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 14, 42, 99, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 305/5 = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 711 mod -159"
},
{
"role": "assistant",
"content": "<reasoning>\n711 mod -159: 711 = -159 × -5 + -84, so remainder = -84.\n</reasoning>\nFinal Answer: -84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -19 = 1142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 27x = 1161. Divide by 27: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27642 at 19% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27642 × 19 × 9 / 100 = 47267.82.\n</reasoning>\nFinal Answer: 47267.82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 846 - 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 219 from 846: 846 - 219 = 627.\n</reasoning>\nFinal Answer: 627"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 9, 13, 18] and B = [1, 5, 8, 10, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 7, 9, 13].\n</reasoning>\nFinal Answer: [4, 7, 9, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -491 ÷ -781"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -491 by -781. -491 ÷ -781 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 77, 31, 27, 16, 65, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 77: 1, 31: 1, 27: 1, 16: 1, 65: 2}. Most frequent: 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -573 + 891"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -573 and 891: -573 + 891 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 47 = 141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 2x = 94. Divide by 2: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 635 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 635 × (1 + 30/100) = 635 × 1.3 = 825.5.\n</reasoning>\nFinal Answer: 825.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 12 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 18/60 = 12.3000 hours. Distance = speed × time = 95 × 12.3000 = 1168.5 km.\n</reasoning>\nFinal Answer: 1168.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 25 = 1250.\n</reasoning>\nFinal Answer: 1250"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -7 = 183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 10x = 190. Divide by 10: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 16, 18] and B = [1, 5, 8, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 16, 18].\n</reasoning>\nFinal Answer: [7, 16, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 77, 33, 12, 79, 34, 48, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 392/8 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6893 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6893 × 14 × 9 / 100 = 8685.18.\n</reasoning>\nFinal Answer: 8685.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 * 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/20) × (15/5) = (165/100) = 33/20 after simplification.\n</reasoning>\nFinal Answer: 33/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [55, 64, 49, 93, 96, 65, 24, 4, 34, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 24, 30, 34, 49, 55, 64, 65, 93, 96]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 31 = 1131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 25x = 1100. Divide by 25: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 35 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 2x = -84. Divide by 2: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 13 mod -307"
},
{
"role": "assistant",
"content": "<reasoning>\n13 mod -307: 13 = -307 × -1 + -294, so remainder = -294.\n</reasoning>\nFinal Answer: -294"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 11, 18, 47, 24, 32, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 67 - 11 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -69 ÷ -144"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -69 by -144. -69 ÷ -144 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 56 mod -593"
},
{
"role": "assistant",
"content": "<reasoning>\n56 mod -593: 56 = -593 × -1 + -537, so remainder = -537.\n</reasoning>\nFinal Answer: -537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -751 ÷ -817"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -751 by -817. -751 ÷ -817 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 60 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 22, 85, 42, 37, 17, 12, 57, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 22: 1, 85: 1, 42: 1, 37: 1, 17: 1, 12: 1, 57: 1, 96: 1}. Most frequent: [94, 22, 85, 42, 37, 17, 12, 57, 96].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:42 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/42, so B = A × (42/34) = 81 × 42/34 = 100.0588.\n</reasoning>\nFinal Answer: 100.0588"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 47, 73, 15, 35, 5, 17, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 5 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-11)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -11² - 4×1×30 = 1. √discriminant = 1. x = (-(-11) ± 1) / (2×1). Solutions: x = 6 or x = 5.\n</reasoning>\nFinal Answer: x = 6 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 850 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 850 × (1 + 100/100) = 850 × 2.0 = 1700.0.\n</reasoning>\nFinal Answer: 1700.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 44 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 36+1936-17=1955.\n</reasoning>\nFinal Answer: 1955"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 23 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+23) × 12 = 192.0.\n</reasoning>\nFinal Answer: 192.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 453 km apart. Their speeds are 43 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+97=140 km/h. Time = 453/140 = 3.2357 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 78 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(78+49) = 2×127 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 465 + -373"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 465 and -373: 465 + -373 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -28 = -666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 22x = -638. Divide by 22: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×32)/2 = 544.\n</reasoning>\nFinal Answer: 544"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-4)x + (-24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×4×-24 = 400. √discriminant = 20. x = (-(-4) ± 20) / (2×4). Solutions: x = -2 or x = 3.\n</reasoning>\nFinal Answer: x = -2 or x = 3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 8, 15, 18] and B = [1, 4, 7, 8, 12, 13, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 6, 7, 12, 13, 15].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "83 is what percentage of 262?"
},
{
"role": "assistant",
"content": "<reasoning>\n(83/262) × 100 = 31.6794%.\n</reasoning>\nFinal Answer: 31.6794%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 7 = 283.5.\n</reasoning>\nFinal Answer: 283.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 4, 25, 41, 72, 67, 61, 12, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 4: 1, 25: 1, 41: 1, 72: 1, 67: 1, 61: 1, 12: 2}. Most frequent: 12.\n</reasoning>\nFinal Answer: 12"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 / 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/9) ÷ (7/1) = (11/9) × (1/7) = 11/63.\n</reasoning>\nFinal Answer: 11/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -49 = -1089"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 26x = -1040. Divide by 26: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 532 km apart. Their speeds are 46 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+78=124 km/h. Time = 532/124 = 4.2903 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 20 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(20+79) = 2×99 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 57 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 57 × (1 - 50/100) = 57 × 0.5 = 28.5.\n</reasoning>\nFinal Answer: 28.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 88, 47, 89, 85, 57, 14, 99, 60, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 5 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -7 = -887"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 20x = -880. Divide by 20: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 100, 86, 82, 34, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 100: 1, 86: 1, 82: 1, 34: 1, 13: 1}. Most frequent: [20, 100, 86, 82, 34, 13].\n</reasoning>\nFinal Answer: [20, 100, 86, 82, 34, 13]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 22 + 15 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×22=682 and 15×16=240, then add: 922.\n</reasoning>\nFinal Answer: 922"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -188 mod -144"
},
{
"role": "assistant",
"content": "<reasoning>\n-188 mod -144: -188 = -144 × 1 + -44, so remainder = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -718 - -462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -462 from -718: -718 - -462 = -256.\n</reasoning>\nFinal Answer: -256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 310?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 310 = (35/100) × 310 = 108.5.\n</reasoning>\nFinal Answer: 108.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 948 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 948 × (1 - 65/100) = 948 × 0.35 = 331.8.\n</reasoning>\nFinal Answer: 331.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 39 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 39 × 82 = 3198.\n</reasoning>\nFinal Answer: 3198"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 80% of 474?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 474 = (80/100) × 474 = 379.2.\n</reasoning>\nFinal Answer: 379.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 19 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+19) × 34 = 527.0.\n</reasoning>\nFinal Answer: 527.0"
}
] | medium | [
"geometry",
"area"
] |
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