messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 5 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 55/60 = 5.9167 hours. Distance = speed × time = 124 × 5.9167 = 733.6667 km.\n</reasoning>\nFinal Answer: 733.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 314 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 314 × (1 + 25/100) = 314 × 1.25 = 392.5.\n</reasoning>\nFinal Answer: 392.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 11 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(11+81) = 2×92 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 12 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 12 = 60 worker-days. New time = 60 / 12 = 5.0 days.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -14 = 126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 28x = 140. Divide by 28: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×41)/1 = 2009.\n</reasoning>\nFinal Answer: 2009"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 6 + 34 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×6=210 and 34×22=748, then add: 958.\n</reasoning>\nFinal Answer: 958"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 42 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 12+1764-42=1734.\n</reasoning>\nFinal Answer: 1734"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 85 = 4930.\n</reasoning>\nFinal Answer: 4930"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -14 = -439"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 17x = -425. Divide by 17: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 326 - 137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 137 from 326: 326 - 137 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 * 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/10) × (10/20) = (150/200) = 3/4 after simplification.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [11, 14, 15, 16] and B = [5, 6, 12, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 14, 15, 16].\n</reasoning>\nFinal Answer: [11, 14, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 11 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 3/60 = 11.0500 hours. Distance = speed × time = 106 × 11.0500 = 1171.3 km.\n</reasoning>\nFinal Answer: 1171.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 75, 87, 67, 14, 27, 39, 46, 82, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 27, 39, 46, 67, 75, 82, 87, 89, 99]. Middle value(s) → median = 71.0.\n</reasoning>\nFinal Answer: 71.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 30, 13, 6, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 108/5 = 21.6.\n</reasoning>\nFinal Answer: 21.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 108 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(108,16) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 968 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 968 × (1 + 100/100) = 968 × 2.0 = 1936.0.\n</reasoning>\nFinal Answer: 1936.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 8, 4, 15, 13, 86, 10, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 4 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -430 mod -783"
},
{
"role": "assistant",
"content": "<reasoning>\n-430 mod -783: -430 = -783 × 0 + -430, so remainder = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 11 = 113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 6x = 102. Divide by 6: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:31 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/31, so B = A × (31/36) = 34 × 31/36 = 29.2778.\n</reasoning>\nFinal Answer: 29.2778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -410 + -186"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -410 and -186: -410 + -186 = -596.\n</reasoning>\nFinal Answer: -596"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 22 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 22 = 286 worker-days. New time = 286 / 20 = 14.3 days.\n</reasoning>\nFinal Answer: 14.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 2 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 37+4-21=20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -28 = -402"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 11x = -374. Divide by 11: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 975 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 975 × (1 + 100/100) = 975 × 2.0 = 1950.0.\n</reasoning>\nFinal Answer: 1950.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-60)x + (300) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -60² - 4×3×300 = 0. √discriminant = 0. x = (-(-60) ± 0) / (2×3). Solutions: x = 10 (double root).\n</reasoning>\nFinal Answer: x = 10 (double ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 3) * (9 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+3)=25, (9-29)=-20, then 25×-20=-500.\n</reasoning>\nFinal Answer: -500"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 53, 74, 44, 84, 54, 54, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 492/8 = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 16) * (41 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+16)=18, (41-6)=35, then 18×35=630.\n</reasoning>\nFinal Answer: 630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -830 ÷ -524"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -830 by -524. -830 ÷ -524 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 8 = 344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 24x = 336. Divide by 24: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -634 - 259"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 259 from -634: -634 - 259 = -893.\n</reasoning>\nFinal Answer: -893"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 35 mod 985"
},
{
"role": "assistant",
"content": "<reasoning>\n35 mod 985: 35 = 985 × 0 + 35, so remainder = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 46 = 1164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 26x = 1118. Divide by 26: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 898 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 898 × (1 - 15/100) = 898 × 0.85 = 763.3.\n</reasoning>\nFinal Answer: 763.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 37 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+37) × 16 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 17 = 816.\n</reasoning>\nFinal Answer: 816"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 143 mod 105"
},
{
"role": "assistant",
"content": "<reasoning>\n143 mod 105: 143 = 105 × 1 + 38, so remainder = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 36 = -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 20x = -100. Divide by 20: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 22 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 13+484-20=477.\n</reasoning>\nFinal Answer: 477"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 328 ÷ -678"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 328 by -678. 328 ÷ -678 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 31 = -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 19x = -95. Divide by 19: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:45 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/45, so B = A × (45/37) = 57 × 45/37 = 69.3243.\n</reasoning>\nFinal Answer: 69.3243"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3958. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3958 × 18/100 = 712.44. Total = 3958 + 712.44 = 4670.44.\n</reasoning>\nFinal Answer: 4670.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 8, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (31-1)×8 = 35 + 240 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Is 87 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n87 = 3 × 29, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1689 at 3% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1689 × 3 × 8 / 100 = 405.36.\n</reasoning>\nFinal Answer: 405.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (40)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 40² - 4×5×80 = 0. √discriminant = 0. x = (-(40) ± 0) / (2×5). Solutions: x = -4 (double root).\n</reasoning>\nFinal Answer: x = -4 (double root)... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [4, 38, 25, 22, 45, 89, 20, 49, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 323/9 = 35.8889.\n</reasoning>\nFinal Answer: 35.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 * 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/2) × (14/13) = (14/26) = 7/13 after simplification.\n</reasoning>\nFinal Answer: 7/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -140 mod -639"
},
{
"role": "assistant",
"content": "<reasoning>\n-140 mod -639: -140 = -639 × 0 + -140, so remainder = -140.\n</reasoning>\nFinal Answer: -140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 43, 56, 10, 1, 54, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 10, 43, 54, 56, 63, 77]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -25 = -281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 16x = -256. Divide by 16: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 0 = -754"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 26x = -754. Divide by 26: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 12, 14, 16, 18, 19] and B = [4, 8, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 12, 14, 16, 19].\n</reasoning>\nFinal Answer: [2, 3, 12, 14, 16, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -37 = 341"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 27x = 378. Divide by 27: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -432 + 717"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -432 and 717: -432 + 717 = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 20 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 6+400-38=368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 516 + 582"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 516 and 582: 516 + 582 = 1098.\n</reasoning>\nFinal Answer: 1098"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -13 = -123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 11x = -110. Divide by 11: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -9 = 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 24x = 216. Divide by 24: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 * 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/4) × (6/6) = (54/24) = 9/4 after simplification.\n</reasoning>\nFinal Answer: 9/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 131 ÷ -469"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 131 by -469. 131 ÷ -469 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 905 km apart. Their speeds are 108 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+48=156 km/h. Time = 905/156 = 5.8013 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 12 = -57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 3x = -69. Divide by 3: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 13, 23, 98, 5, 44, 72, 52, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 5 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 173 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 173 × (1 + 60/100) = 173 × 1.6 = 276.8.\n</reasoning>\nFinal Answer: 276.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:44 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/44, so B = A × (44/41) = 2 × 44/41 = 2.1463.\n</reasoning>\nFinal Answer: 2.1463"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -205 × 477"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -205 by 477: -205 × 477 = -97785.\n</reasoning>\nFinal Answer: -97785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 42 = -742"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 16x = -784. Divide by 16: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [8, 11, 15, 16] and B = [7, 8, 14, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [7, 8, 11, 14, 15, 16, 17].\n</reasoning>\nFinal Answer: [7, 8, 11, 14, 15, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 49 = 829"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 30x = 780. Divide by 30: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 8, 92, 49, 53, 46, 85, 51, 13, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 8 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 9 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 9 = 27 worker-days. New time = 27 / 4 = 6.75 days.\n</reasoning>\nFinal Answer: 6.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 843 × -78"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 843 by -78: 843 × -78 = -65754.\n</reasoning>\nFinal Answer: -65754"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:49 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/49, so B = A × (49/34) = 26 × 49/34 = 37.4706.\n</reasoning>\nFinal Answer: 37.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -819 × 762"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -819 by 762: -819 × 762 = -624078.\n</reasoning>\nFinal Answer: -624078"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 18 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 6+324-7=323.\n</reasoning>\nFinal Answer: 323"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 489 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 489 × (1 - 90/100) = 489 × 0.09999999999999998 = 48.9.\n</reasoning>\nFinal Answer: 48.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 207 km apart. Their speeds are 106 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+76=182 km/h. Time = 207/182 = 1.1374 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 28, 23, 79, 72, 55, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 28, 55, 72, 79, 86, 97]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 53 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 9 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 9 = 180 worker-days. New time = 180 / 15 = 12.0 days.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "34 is what percentage of 946?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/946) × 100 = 3.5941%.\n</reasoning>\nFinal Answer: 3.5941%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:12 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/12, so B = A × (12/27) = 64 × 12/27 = 28.4444.\n</reasoning>\nFinal Answer: 28.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 + 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/9 + 5/12. Common denominator = 36. Result = 35/36.\n</reasoning>\nFinal Answer: 35/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:44 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/44, so B = A × (44/41) = 74 × 44/41 = 79.4146.\n</reasoning>\nFinal Answer: 79.4146"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:7 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/7, so B = A × (7/26) = 78 × 7/26 = 21.0.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -534 mod -196"
},
{
"role": "assistant",
"content": "<reasoning>\n-534 mod -196: -534 = -196 × 2 + -142, so remainder = -142.\n</reasoning>\nFinal Answer: -142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 191 km/h. How far does it travel in 8 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 18/60 = 8.3000 hours. Distance = speed × time = 191 × 8.3000 = 1585.3 km.\n</reasoning>\nFinal Answer: 1585.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 11 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 11 × 83 = 456.5.\n</reasoning>\nFinal Answer: 456.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 3 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 23+9-43=-11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 50 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 37+2500-50=2487.\n</reasoning>\nFinal Answer: 2487"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 48 = -636"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 19x = -684. Divide by 19: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 13) * (9 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+13)=25, (9-11)=-2, then 25×-2=-50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 152 × -537"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 152 by -537: 152 × -537 = -81624.\n</reasoning>\nFinal Answer: -81624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 11 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 39+121-4=156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 35) * (46 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+35)=62, (46-43)=3, then 62×3=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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