messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 79 km/h. How far does it travel in 8 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 47/60 = 8.7833 hours. Distance = speed × time = 79 × 8.7833 = 693.8833 km.\n</reasoning>\nFinal Answer: 693.8833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 / 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/7) ÷ (14/2) = (18/7) × (2/14) = 18/49.\n</reasoning>\nFinal Answer: 18/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 145 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 145 × (1 - 60/100) = 145 × 0.4 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 353 mod -240"
},
{
"role": "assistant",
"content": "<reasoning>\n353 mod -240: 353 = -240 × -2 + -127, so remainder = -127.\n</reasoning>\nFinal Answer: -127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2572. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2572 × 12/100 = 308.64. Total = 2572 + 308.64 = 2880.64.\n</reasoning>\nFinal Answer: 2880.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -9 = -369"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 24x = -360. Divide by 24: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 - 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/6 - 20/15. LCD = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -340 × -969"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -340 by -969: -340 × -969 = 329460.\n</reasoning>\nFinal Answer: 329460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -45 = -355"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 10x = -310. Divide by 10: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 - 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/1 - 15/1. LCD = 1. Result = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [10, 14, 15, 19] and B = [1, 2, 3, 4, 12, 15, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 10, 12, 14, 17, 18, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "440 is what percentage of 974?"
},
{
"role": "assistant",
"content": "<reasoning>\n(440/974) × 100 = 45.1745%.\n</reasoning>\nFinal Answer: 45.1745%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 47 + 9 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×47=1363 and 9×7=63, then add: 1426.\n</reasoning>\nFinal Answer: 1426"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 20% of 703?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 703 = (20/100) × 703 = 140.6.\n</reasoning>\nFinal Answer: 140.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29084 at 12% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29084 × 12 × 8 / 100 = 27920.64.\n</reasoning>\nFinal Answer: 27920.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 6 = -1023"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 21x = -1029. Divide by 21: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -20 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 6x = -162. Divide by 6: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 719 + -180"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 719 and -180: 719 + -180 = 539.\n</reasoning>\nFinal Answer: 539"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42147 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42147 × 13 × 5 / 100 = 27395.55.\n</reasoning>\nFinal Answer: 27395.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/19 / 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/19) ÷ (13/20) = (8/19) × (20/13) = 160/247.\n</reasoning>\nFinal Answer: 160/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 8, 17, 18] and B = [4, 6, 8, 10, 11, 12, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 8].\n</reasoning>\nFinal Answer: [6, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 40% of 399?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 399 = (40/100) × 399 = 159.6.\n</reasoning>\nFinal Answer: 159.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 37 + 5 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×37=481 and 5×6=30, then add: 511.\n</reasoning>\nFinal Answer: 511"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 22 * 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×2=44, then 22+44-44=22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "4 is what percentage of 7?"
},
{
"role": "assistant",
"content": "<reasoning>\n(4/7) × 100 = 57.1429%.\n</reasoning>\nFinal Answer: 57.1429%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 82 = 3362.\n</reasoning>\nFinal Answer: 3362"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 354 mod -613"
},
{
"role": "assistant",
"content": "<reasoning>\n354 mod -613: 354 = -613 × -1 + -259, so remainder = -259.\n</reasoning>\nFinal Answer: -259"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -87 × 781"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -87 by 781: -87 × 781 = -67947.\n</reasoning>\nFinal Answer: -67947"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:17 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/17, so B = A × (17/23) = 38 × 17/23 = 28.087.\n</reasoning>\nFinal Answer: 28.087"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 12 = 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 17x = 51. Divide by 17: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 9, 90, 65, 42, 6, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 17, 42, 55, 65, 90]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 11, 12, 15, 19] and B = [9, 10, 13, 17, 18], 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": "If the ratio of A to B is 18:46 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/46, so B = A × (46/18) = 88 × 46/18 = 224.8889.\n</reasoning>\nFinal Answer: 224.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 25 = 475.\n</reasoning>\nFinal Answer: 475"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 646 km apart. Their speeds are 47 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+72=119 km/h. Time = 646/119 = 5.4286 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [55, 40, 48, 11, 93, 38, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 11 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 4 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 1x = -16. Divide by 1: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 26 * 23 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×23=598, then 32+598-48=582.\n</reasoning>\nFinal Answer: 582"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 132 km/h. How far does it travel in 12 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 25/60 = 12.4167 hours. Distance = speed × time = 132 × 12.4167 = 1639.0 km.\n</reasoning>\nFinal Answer: 1639.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -973 - 987"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 987 from -973: -973 - 987 = -1960.\n</reasoning>\nFinal Answer: -1960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -392 + 235"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -392 and 235: -392 + 235 = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "580 is what percentage of 951?"
},
{
"role": "assistant",
"content": "<reasoning>\n(580/951) × 100 = 60.9884%.\n</reasoning>\nFinal Answer: 60.9884%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 133 km/h. How far does it travel in 5 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 41/60 = 5.6833 hours. Distance = speed × time = 133 × 5.6833 = 755.8833 km.\n</reasoning>\nFinal Answer: 755.8833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 20% of 377?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 377 = (20/100) × 377 = 75.4.\n</reasoning>\nFinal Answer: 75.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -638 ÷ 775"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -638 by 775. -638 ÷ 775 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -559 ÷ 541"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -559 by 541. -559 ÷ 541 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:31 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/31, so B = A × (31/43) = 100 × 31/43 = 72.093.\n</reasoning>\nFinal Answer: 72.093"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:21 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/21, so B = A × (21/16) = 23 × 21/16 = 30.1875.\n</reasoning>\nFinal Answer: 30.1875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 73 = 1131.5.\n</reasoning>\nFinal Answer: 1131.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 62 = 4774.\n</reasoning>\nFinal Answer: 4774"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 11, 15, 50, 45, 60, 82, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 11, 15, 45, 49, 50, 60, 82]. Middle value(s) → median = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 245 + -9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 245 and -9: 245 + -9 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -48 = -932"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 26x = -884. Divide by 26: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 35 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+35) × 36 = 1152.0.\n</reasoning>\nFinal Answer: 1152.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 26 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 26 = 416 worker-days. New time = 416 / 8 = 52.0 days.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 + 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/20 + 13/20. Common denominator = 20. Result = 9/10.\n</reasoning>\nFinal Answer: 9/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 31, 40, 49, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 9. Next term = 58 + 9 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 74, 84, 37, 40, 31, 43, 18, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 2 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -37 = -303"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 7x = -266. Divide by 7: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 18] and B = [4, 9, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 8, 9, 18, 19].\n</reasoning>\nFinal Answer: [4, 5, 6, 8, 9, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [61, 43, 8, 84, 44, 53, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 8 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 790 ÷ 584"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 790 by 584. 790 ÷ 584 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 6, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (42-1)×6 = 24 + 246 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 75 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 75 × 74 = 2775.0.\n</reasoning>\nFinal Answer: 2775.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 34 + 7 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×34=714 and 7×32=224, then add: 938.\n</reasoning>\nFinal Answer: 938"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 7, 8, 9, 10, 16] and B = [3, 6, 7, 9, 14, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 7, 9, 16].\n</reasoning>\nFinal Answer: [6, 7, 9, 16]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 439 ÷ -870"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 439 by -870. 439 ÷ -870 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 2 = -102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 13x = -104. Divide by 13: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "495 is what percentage of 829?"
},
{
"role": "assistant",
"content": "<reasoning>\n(495/829) × 100 = 59.7105%.\n</reasoning>\nFinal Answer: 59.7105%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "510 is what percentage of 662?"
},
{
"role": "assistant",
"content": "<reasoning>\n(510/662) × 100 = 77.0393%.\n</reasoning>\nFinal Answer: 77.0393%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 90, 6, 13, 96, 41, 22, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 970 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 970 × (1 - 35/100) = 970 × 0.65 = 630.5.\n</reasoning>\nFinal Answer: 630.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 11, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (37-1)×11 = 5 + 396 = 401.\n</reasoning>\nFinal Answer: 401"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 9, 15, 16, 19] and B = [7, 8, 10, 12, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 6, 9, 15, 16].\n</reasoning>\nFinal Answer: [1, 3, 6, 9, 15, 16]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -220 ÷ 156"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -220 by 156. -220 ÷ 156 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -271 ÷ -144"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -271 by -144. -271 ÷ -144 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×30)/3 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 89, 99, 65, 21, 56, 83, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 89: 1, 99: 1, 65: 1, 21: 1, 56: 1, 83: 1, 71: 1}. Most frequent: [14, 89, 99, 65, 21, 56, 83, 71].\n</reasoning>\nFinal Answer: [14, 89,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:40 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/40, so B = A × (40/49) = 98 × 40/49 = 80.0.\n</reasoning>\nFinal Answer: 80.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 6 + 22 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×6=96 and 22×26=572, then add: 668.\n</reasoning>\nFinal Answer: 668"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:50 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/50, so B = A × (50/24) = 12 × 50/24 = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 921 + -944"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 921 and -944: 921 + -944 = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 / 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/4) ÷ (5/11) = (12/4) × (11/5) = 33/5.\n</reasoning>\nFinal Answer: 33/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -452 + 662"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -452 and 662: -452 + 662 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 + 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/17 + 8/19. Common denominator = 323. Result = 193/323.\n</reasoning>\nFinal Answer: 193/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 468 mod -694"
},
{
"role": "assistant",
"content": "<reasoning>\n468 mod -694: 468 = -694 × -1 + -226, so remainder = -226.\n</reasoning>\nFinal Answer: -226"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 435 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 435 × (1 + 100/100) = 435 × 2.0 = 870.0.\n</reasoning>\nFinal Answer: 870.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -33 = 695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 28x = 728. Divide by 28: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 80% of 814?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 814 = (80/100) × 814 = 651.2.\n</reasoning>\nFinal Answer: 651.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 754 - -216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -216 from 754: 754 - -216 = 970.\n</reasoning>\nFinal Answer: 970"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 392 + -797"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 392 and -797: 392 + -797 = -405.\n</reasoning>\nFinal Answer: -405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -943 × -785"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -943 by -785: -943 × -785 = 740255.\n</reasoning>\nFinal Answer: 740255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 76, 79, 37, 16, 56, 42, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 16 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -33 = -362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 7x = -329. Divide by 7: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 17, 91, 31, 77, 71, 19, 8, 41, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 17: 1, 91: 1, 31: 1, 77: 1, 71: 1, 19: 1, 8: 1, 41: 1, 70: 1}. Most frequent: [50, 17, 91, 31, 77, 71, 19, 8, 41, 70].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 373 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 373 × (1 + 17/100) = 373 × 1.17 = 436.41.\n</reasoning>\nFinal Answer: 436.41"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43729 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43729 × 4 × 8 / 100 = 13993.28.\n</reasoning>\nFinal Answer: 13993.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/8 * 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/8) × (19/19) = (228/152) = 3/2 after simplification.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 111 and 160."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(111,160) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 40) * (43 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+40)=41, (43-40)=3, then 41×3=123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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