messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 186 apples and buys 26 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 186 + 26 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -47 = 893"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 20x = 940. Divide by 20: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 294 mod 654"
},
{
"role": "assistant",
"content": "<reasoning>\n294 mod 654: 294 = 654 × 0 + 294, so remainder = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 32 = -864"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 28x = -896. Divide by 28: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 68 = 272.\n</reasoning>\nFinal Answer: 272"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 6 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 1, 41, 24, 38, 96, 75, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 1 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 10, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (33-1)×10 = 23 + 320 = 343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 27 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 673 - -639"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -639 from 673: 673 - -639 = 1312.\n</reasoning>\nFinal Answer: 1312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 54, 92, 91, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 32 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 35, 59, 74, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 209/5 = 41.8.\n</reasoning>\nFinal Answer: 41.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 49, 63, 77, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 14. Next term = 91 + 14 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 + 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/12 + 20/7. Common denominator = 28. Result = 115/28.\n</reasoning>\nFinal Answer: 115/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:46 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/46, so B = A × (46/4) = 9 × 46/4 = 103.5.\n</reasoning>\nFinal Answer: 103.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×20)/1 = 860.\n</reasoning>\nFinal Answer: 860"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 6, 36, 7, 54, 79, 39, 27, 83, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 398/10 = 39.8.\n</reasoning>\nFinal Answer: 39.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 546 × -341"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 546 by -341: 546 × -341 = -186186.\n</reasoning>\nFinal Answer: -186186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -37 = 89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 14x = 126. Divide by 14: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -461 - -390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -390 from -461: -461 - -390 = -71.\n</reasoning>\nFinal Answer: -71"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -48 = -516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 26x = -468. Divide by 26: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 73, 13, 62, 31, 49, 56, 78, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 13 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 79, 62, 47, 21, 42, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 32, 42, 47, 62, 79, 95]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 875 + 258"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 875 and 258: 875 + 258 = 1133.\n</reasoning>\nFinal Answer: 1133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 21 * 37 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×37=777, then 30+777-43=764.\n</reasoning>\nFinal Answer: 764"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 21, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 21 + 37 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 935 mod 446"
},
{
"role": "assistant",
"content": "<reasoning>\n935 mod 446: 935 = 446 × 2 + 43, so remainder = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 18 * 4 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×4=72, then 14+72-31=55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 25 = -868"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 19x = -893. Divide by 19: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 42 = -114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 26x = -156. Divide by 26: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -9 = 687"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 29x = 696. Divide by 29: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 10, 12, 16, 19] and B = [4, 5, 7, 13, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 7, 10, 12, 13].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 290 mod -659"
},
{
"role": "assistant",
"content": "<reasoning>\n290 mod -659: 290 = -659 × -1 + -369, so remainder = -369.\n</reasoning>\nFinal Answer: -369"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -18 = -29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 1x = -11. Divide by 1: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 631 km apart. Their speeds are 97 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+114=211 km/h. Time = 631/211 = 2.9905 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "656 is what percentage of 762?"
},
{
"role": "assistant",
"content": "<reasoning>\n(656/762) × 100 = 86.0892%.\n</reasoning>\nFinal Answer: 86.0892%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 18 ÷ -379"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 18 by -379. 18 ÷ -379 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 43 = 3913.\n</reasoning>\nFinal Answer: 3913"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -526 mod -880"
},
{
"role": "assistant",
"content": "<reasoning>\n-526 mod -880: -526 = -880 × 0 + -526, so remainder = -526.\n</reasoning>\nFinal Answer: -526"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 8 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 52/60 = 8.8667 hours. Distance = speed × time = 69 × 8.8667 = 611.8 km.\n</reasoning>\nFinal Answer: 611.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:34 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/34, so B = A × (34/45) = 25 × 34/45 = 18.8889.\n</reasoning>\nFinal Answer: 18.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 * 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/17) × (15/19) = (210/323) = 210/323 after simplification.\n</reasoning>\nFinal Answer: 210/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -884 ÷ 930"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -884 by 930. -884 ÷ 930 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 16 * 31 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×31=496, then 46+496-24=518.\n</reasoning>\nFinal Answer: 518"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2706. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2706 × 18/100 = 487.08. Total = 2706 + 487.08 = 3193.08.\n</reasoning>\nFinal Answer: 3193.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 94, 75, 11, 91, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 15, 25, 75, 91, 94]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 - 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/6 - 7/20. LCD = 60. Result = 169/60.\n</reasoning>\nFinal Answer: 169/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 26 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 19+676-13=682.\n</reasoning>\nFinal Answer: 682"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 430 mod -937"
},
{
"role": "assistant",
"content": "<reasoning>\n430 mod -937: 430 = -937 × -1 + -507, so remainder = -507.\n</reasoning>\nFinal Answer: -507"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 9 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 24/60 = 9.4000 hours. Distance = speed × time = 56 × 9.4000 = 526.4 km.\n</reasoning>\nFinal Answer: 526.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 31 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 36+961-2=995.\n</reasoning>\nFinal Answer: 995"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45314 at 16% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45314 × 16 × 6 / 100 = 43501.44.\n</reasoning>\nFinal Answer: 43501.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 257 + -721"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 257 and -721: 257 + -721 = -464.\n</reasoning>\nFinal Answer: -464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 - 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/19 - 5/1. LCD = 19. Result = -94/19.\n</reasoning>\nFinal Answer: -94/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -11 = 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 9x = 333. Divide by 9: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 44 = 747"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 19x = 703. Divide by 19: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 222 - 317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 317 from 222: 222 - 317 = -95.\n</reasoning>\nFinal Answer: -95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 33, 69, 41, 41, 45, 63, 12, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 33: 1, 69: 1, 41: 2, 45: 1, 63: 1, 12: 1, 66: 1}. Most frequent: 41.\n</reasoning>\nFinal Answer: 41"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 29 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 29 = 348 worker-days. New time = 348 / 8 = 43.5 days.\n</reasoning>\nFinal Answer: 43.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 520 + -176"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 520 and -176: 520 + -176 = 344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 3 * 1 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×1=3, then 43+3-39=7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 + 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/19 + 13/2. Common denominator = 38. Result = 257/38.\n</reasoning>\nFinal Answer: 257/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -10 = 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 12x = 324. Divide by 12: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -29 = -695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 18x = -666. Divide by 18: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 47) * (42 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+47)=75, (42-28)=14, then 75×14=1050.\n</reasoning>\nFinal Answer: 1050"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:47 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/47, so B = A × (47/38) = 71 × 47/38 = 87.8158.\n</reasoning>\nFinal Answer: 87.8158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 1 * 17 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×17=17, then 44+17-3=58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 14] and B = [5, 12, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 8, 12, 14, 17].\n</reasoning>\nFinal Answer: [2, 3, 5, 8, 12, 14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 21 = 1491.\n</reasoning>\nFinal Answer: 1491"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 37 + 13 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×37=962 and 13×42=546, then add: 1508.\n</reasoning>\nFinal Answer: 1508"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 18 × -755"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 18 by -755: 18 × -755 = -13590.\n</reasoning>\nFinal Answer: -13590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 / 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/5) ÷ (8/7) = (13/5) × (7/8) = 91/40.\n</reasoning>\nFinal Answer: 91/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 15, 95, 58, 20, 57, 39, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 369/8 = 46.125.\n</reasoning>\nFinal Answer: 46.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 58 km/h. How far does it travel in 3 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 19/60 = 3.3167 hours. Distance = speed × time = 58 × 3.3167 = 192.3667 km.\n</reasoning>\nFinal Answer: 192.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "6 is what percentage of 8?"
},
{
"role": "assistant",
"content": "<reasoning>\n(6/8) × 100 = 75.0%.\n</reasoning>\nFinal Answer: 75.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 10 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 10/60 = 10.1667 hours. Distance = speed × time = 172 × 10.1667 = 1748.6667 km.\n</reasoning>\nFinal Answer: 1748.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:5 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/5, so B = A × (5/1) = 53 × 5/1 = 265.0.\n</reasoning>\nFinal Answer: 265.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 144 and 192."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(144,192) = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹2600. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2600 × 18/100 = 468.0. Total = 2600 + 468.0 = 3068.0.\n</reasoning>\nFinal Answer: 3068.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 124 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(124,174) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 * 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/6) × (19/11) = (133/66) = 133/66 after simplification.\n</reasoning>\nFinal Answer: 133/66"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 57, 38, 3, 97, 88, 8, 85, 17, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 57: 1, 38: 1, 3: 1, 97: 1, 88: 1, 8: 1, 85: 1, 17: 1, 96: 1}. Most frequent: [27, 57, 38, 3, 97, 88, 8, 85, 17, 96].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 10, 3, 43, 65, 53, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 10: 1, 3: 1, 43: 1, 65: 1, 53: 1, 2: 1}. Most frequent: [38, 10, 3, 43, 65, 53, 2].\n</reasoning>\nFinal Answer: [38, 10, 3, 43, 65, 53, 2]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 7 = 189.0.\n</reasoning>\nFinal Answer: 189.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [7, 35, 68, 100, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 35, 68, 78, 100]. Middle value(s) → median = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 24 = -150"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 6x = -174. Divide by 6: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 - 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/6 - 9/16. LCD = 48. Result = 125/48.\n</reasoning>\nFinal Answer: 125/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 9 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 10/60 = 9.1667 hours. Distance = speed × time = 56 × 9.1667 = 513.3333 km.\n</reasoning>\nFinal Answer: 513.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 992 × 514"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 992 by 514: 992 × 514 = 509888.\n</reasoning>\nFinal Answer: 509888"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 590 - 909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 909 from 590: 590 - 909 = -319.\n</reasoning>\nFinal Answer: -319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 11, 15, 16] and B = [3, 4, 9, 12, 14, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 6, 9, 11, 12, 14, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [3, 4, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 11) * (48 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+11)=36, (48-50)=-2, then 36×-2=-72.\n</reasoning>\nFinal Answer: -72"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 387 + 583"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 387 and 583: 387 + 583 = 970.\n</reasoning>\nFinal Answer: 970"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 7 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 12+49-19=42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 * 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/9) × (8/1) = (160/9) = 160/9 after simplification.\n</reasoning>\nFinal Answer: 160/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -32 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 3x = -21. Divide by 3: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 5, 7, 10, 18] and B = [4, 5, 6, 12, 15, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 6, 7, 10, 12, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 181 + 713"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 181 and 713: 181 + 713 = 894.\n</reasoning>\nFinal Answer: 894"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 143 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 143 × (1 - 75/100) = 143 × 0.25 = 35.75.\n</reasoning>\nFinal Answer: 35.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 45 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 25x = 150. Divide by 25: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
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