messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "558 is what percentage of 641?"
},
{
"role": "assistant",
"content": "<reasoning>\n(558/641) × 100 = 87.0515%.\n</reasoning>\nFinal Answer: 87.0515%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 953 ÷ -899"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 953 by -899. 953 ÷ -899 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:3 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/3, so B = A × (3/40) = 10 × 3/40 = 0.75.\n</reasoning>\nFinal Answer: 0.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 29 + 30 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×29=957 and 30×14=420, then add: 1377.\n</reasoning>\nFinal Answer: 1377"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 11 = -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 15x = -240. Divide by 15: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -967 × 705"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -967 by 705: -967 × 705 = -681735.\n</reasoning>\nFinal Answer: -681735"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 30 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 30 = 570 worker-days. New time = 570 / 5 = 114.0 days.\n</reasoning>\nFinal Answer: 114.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 45 + 19 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×45=405 and 19×35=665, then add: 1070.\n</reasoning>\nFinal Answer: 1070"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:42 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/42, so B = A × (42/1) = 47 × 42/1 = 1974.0.\n</reasoning>\nFinal Answer: 1974.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 5 * 20 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×20=100, then 29+100-27=102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 49 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 47+2401-5=2443.\n</reasoning>\nFinal Answer: 2443"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹889. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 889 × 18/100 = 160.02. Total = 889 + 160.02 = 1049.02.\n</reasoning>\nFinal Answer: 1049.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 36, 7, 47, 62, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 2, 36: 1, 7: 1, 47: 1, 62: 1}. Most frequent: 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 171 km/h. How far does it travel in 4 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 19/60 = 4.3167 hours. Distance = speed × time = 171 × 4.3167 = 738.15 km.\n</reasoning>\nFinal Answer: 738.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:40 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/40, so B = A × (40/7) = 96 × 40/7 = 548.5714.\n</reasoning>\nFinal Answer: 548.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 85 + 712"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 85 and 712: 85 + 712 = 797.\n</reasoning>\nFinal Answer: 797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 427 + -950"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 427 and -950: 427 + -950 = -523.\n</reasoning>\nFinal Answer: -523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -261 - 84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 84 from -261: -261 - 84 = -345.\n</reasoning>\nFinal Answer: -345"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -13 + 959"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -13 and 959: -13 + 959 = 946.\n</reasoning>\nFinal Answer: 946"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -687 mod -150"
},
{
"role": "assistant",
"content": "<reasoning>\n-687 mod -150: -687 = -150 × 4 + -87, so remainder = -87.\n</reasoning>\nFinal Answer: -87"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1763. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1763 × 18/100 = 317.34. Total = 1763 + 317.34 = 2080.34.\n</reasoning>\nFinal Answer: 2080.34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "506 is what percentage of 606?"
},
{
"role": "assistant",
"content": "<reasoning>\n(506/606) × 100 = 83.4983%.\n</reasoning>\nFinal Answer: 83.4983%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 60 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 60 × 79 = 2370.0.\n</reasoning>\nFinal Answer: 2370.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-7)x + (6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -7² - 4×1×6 = 25. √discriminant = 5. x = (-(-7) ± 5) / (2×1). Solutions: x = 1 or x = 6.\n</reasoning>\nFinal Answer: x = 1 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 31, 17, 27, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 17, 27, 31, 39]. Middle value(s) → median = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 / 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/4) ÷ (12/4) = (1/4) × (4/12) = 1/12.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 35 = 143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 12x = 108. Divide by 12: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [17, 34, 38, 77, 53, 94, 68, 91, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 17 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 24 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 8x = 64. Divide by 8: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -194 + -464"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -194 and -464: -194 + -464 = -658.\n</reasoning>\nFinal Answer: -658"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "38 is what percentage of 112?"
},
{
"role": "assistant",
"content": "<reasoning>\n(38/112) × 100 = 33.9286%.\n</reasoning>\nFinal Answer: 33.9286%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 + 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/13 + 6/6. Common denominator = 13. Result = 33/13.\n</reasoning>\nFinal Answer: 33/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [49, 53, 57, 61, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 49 and common difference 4. Next term = 65 + 4 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -600 × -809"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -600 by -809: -600 × -809 = 485400.\n</reasoning>\nFinal Answer: 485400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 46) * (2 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+46)=81, (2-22)=-20, then 81×-20=-1620.\n</reasoning>\nFinal Answer: -1620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 458 - 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 100 from 458: 458 - 100 = 358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 23 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+23) × 28 = 630.0.\n</reasoning>\nFinal Answer: 630.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 38 = 779.0.\n</reasoning>\nFinal Answer: 779.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 31, 6, 50, 15, 39, 87, 18, 86, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 15, 18, 31, 39, 50, 81, 86, 87, 90]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 / 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/2) ÷ (5/6) = (15/2) × (6/5) = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 11 * 7 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×7=77, then 12+77-16=73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 43, 60, 81, 75, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 394/6 = 65.6667.\n</reasoning>\nFinal Answer: 65.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 6 + 21 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×6=276 and 21×39=819, then add: 1095.\n</reasoning>\nFinal Answer: 1095"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -599 × -855"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -599 by -855: -599 × -855 = 512145.\n</reasoning>\nFinal Answer: 512145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 2 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 2 × (1 - 3/100) = 2 × 0.97 = 1.94.\n</reasoning>\nFinal Answer: 1.94"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:4 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/4, so B = A × (4/21) = 23 × 4/21 = 4.381.\n</reasoning>\nFinal Answer: 4.381"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 932 - -926"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -926 from 932: 932 - -926 = 1858.\n</reasoning>\nFinal Answer: 1858"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 9 = 205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 28x = 196. Divide by 28: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 110 km/h. How far does it travel in 1 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 11/60 = 1.1833 hours. Distance = speed × time = 110 × 1.1833 = 130.1667 km.\n</reasoning>\nFinal Answer: 130.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -15 = -807"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 18x = -792. Divide by 18: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 31, 79, 9, 90, 72, 55, 25, 7, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 451/10 = 45.1.\n</reasoning>\nFinal Answer: 45.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 - 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/16 - 18/10. LCD = 40. Result = -47/40.\n</reasoning>\nFinal Answer: -47/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 579 km apart. Their speeds are 90 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+112=202 km/h. Time = 579/202 = 2.8663 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -37 = 467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 12x = 504. Divide by 12: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -353 - -725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -725 from -353: -353 - -725 = 372.\n</reasoning>\nFinal Answer: 372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 14 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 14 = 238 worker-days. New time = 238 / 11 = 21.6364 days.\n</reasoning>\nFinal Answer: 21.6364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 76, 69, 33, 79, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 33, 67, 69, 76, 79]. Middle value(s) → median = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24264 at 16% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24264 × 16 × 9 / 100 = 34940.16.\n</reasoning>\nFinal Answer: 34940.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 8, 17, 8, 35, 16, 60, 37, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 8: 2, 17: 1, 35: 1, 16: 1, 60: 1, 37: 1, 86: 1}. Most frequent: 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 676 - 455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 455 from 676: 676 - 455 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1908. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1908 × 18/100 = 343.44. Total = 1908 + 343.44 = 2251.44.\n</reasoning>\nFinal Answer: 2251.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 11, 13, 14, 17] and B = [5, 7, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 11, 13, 14, 17].\n</reasoning>\nFinal Answer: [9, 11, 13, 14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 56, 5, 66, 47, 35, 15, 51, 88, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "185 is what percentage of 589?"
},
{
"role": "assistant",
"content": "<reasoning>\n(185/589) × 100 = 31.4092%.\n</reasoning>\nFinal Answer: 31.4092%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 391 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 391 × (1 + 5/100) = 391 × 1.05 = 410.55.\n</reasoning>\nFinal Answer: 410.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 8 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 41/60 = 8.6833 hours. Distance = speed × time = 182 × 8.6833 = 1580.3667 km.\n</reasoning>\nFinal Answer: 1580.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -29 = -176"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 7x = -147. Divide by 7: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 94 - 280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 280 from 94: 94 - 280 = -186.\n</reasoning>\nFinal Answer: -186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 42 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 23+1764-43=1744.\n</reasoning>\nFinal Answer: 1744"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 335 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 335 × (1 + 50/100) = 335 × 1.5 = 502.5.\n</reasoning>\nFinal Answer: 502.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:42 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/42, so B = A × (42/37) = 74 × 42/37 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 355 × -615"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 355 by -615: 355 × -615 = -218325.\n</reasoning>\nFinal Answer: -218325"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 13 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 13 = 65 worker-days. New time = 65 / 16 = 4.0625 days.\n</reasoning>\nFinal Answer: 4.0625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 46 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 22+2116-40=2098.\n</reasoning>\nFinal Answer: 2098"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -580 × -863"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -580 by -863: -580 × -863 = 500540.\n</reasoning>\nFinal Answer: 500540"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 702 mod 335"
},
{
"role": "assistant",
"content": "<reasoning>\n702 mod 335: 702 = 335 × 2 + 32, so remainder = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 22 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(22+63) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "94 is what percentage of 124?"
},
{
"role": "assistant",
"content": "<reasoning>\n(94/124) × 100 = 75.8065%.\n</reasoning>\nFinal Answer: 75.8065%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -42 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 21x = -42. Divide by 21: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 8, 13, 85, 77, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 8: 1, 13: 1, 85: 1, 77: 1, 89: 1}. Most frequent: [19, 8, 13, 85, 77, 89].\n</reasoning>\nFinal Answer: [19, 8, 13, 85, 77, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 / 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/4) ÷ (17/10) = (10/4) × (10/17) = 25/17.\n</reasoning>\nFinal Answer: 25/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -350 + -160"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -350 and -160: -350 + -160 = -510.\n</reasoning>\nFinal Answer: -510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 * 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/20) × (11/20) = (132/400) = 33/100 after simplification.\n</reasoning>\nFinal Answer: 33/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 39 + 11 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×39=78 and 11×9=99, then add: 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 51, 7, 53, 79, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 3 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:12 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/12, so B = A × (12/27) = 12 × 12/27 = 5.3333.\n</reasoning>\nFinal Answer: 5.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 15 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+15) × 39 = 780.0.\n</reasoning>\nFinal Answer: 780.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 17 = 816"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 17x = 799. Divide by 17: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -15 = -825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 27x = -810. Divide by 27: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 71, 67, 7, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 229/5 = 45.8.\n</reasoning>\nFinal Answer: 45.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 15, 61, 51, 39, 18, 51, 33, 91, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 15: 1, 61: 1, 51: 2, 39: 1, 18: 1, 33: 1, 91: 1, 19: 1}. Most frequent: 51.\n</reasoning>\nFinal Answer: 51"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 43 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+43) × 4 = 98.0.\n</reasoning>\nFinal Answer: 98.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 + 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/16 + 12/14. Common denominator = 112. Result = 215/112.\n</reasoning>\nFinal Answer: 215/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 143?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 143 = (35/100) × 143 = 50.05.\n</reasoning>\nFinal Answer: 50.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 24 = -382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 14x = -406. Divide by 14: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 3 = -273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 23x = -276. Divide by 23: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 771 × -547"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 771 by -547: 771 × -547 = -421737.\n</reasoning>\nFinal Answer: -421737"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -13 = -933"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 23x = -920. Divide by 23: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 * 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/9) × (2/20) = (34/180) = 17/90 after simplification.\n</reasoning>\nFinal Answer: 17/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 11] and B = [4, 10, 11, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 11].\n</reasoning>\nFinal Answer: [4, 11]"
}
] | medium | [
"set_theory"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.