messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 53 = 1166.\n</reasoning>\nFinal Answer: 1166"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-16)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×2×30 = 16. √discriminant = 4. x = (-(-16) ± 4) / (2×2). Solutions: x = 3 or x = 5.\n</reasoning>\nFinal Answer: x = 3 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-12)x + (-15) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×3×-15 = 324. √discriminant = 18. x = (-(-12) ± 18) / (2×3). Solutions: x = 5 or x = -1.\n</reasoning>\nFinal Answer: x = 5 or x = -1"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 95, 3, 68, 92, 82, 63, 44, 88, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 3, 39, 44, 63, 68, 82, 88, 92, 95]. Middle value(s) → median = 65.5.\n</reasoning>\nFinal Answer: 65.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -30 = 420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 30x = 450. Divide by 30: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 12, 13] and B = [1, 5, 8, 9, 10, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 12, 13].\n</reasoning>\nFinal Answer: [7, 12, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 32, 69, 63, 93, 75, 91, 1, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 32: 1, 69: 1, 63: 1, 93: 1, 75: 1, 91: 1, 1: 1, 22: 1}. Most frequent: [17, 32, 69, 63, 93, 75, 91, 1, 22].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 492 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 492 × (1 - 40/100) = 492 × 0.6 = 295.2.\n</reasoning>\nFinal Answer: 295.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -625 × 320"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -625 by 320: -625 × 320 = -200000.\n</reasoning>\nFinal Answer: -200000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 243 - 446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 446 from 243: 243 - 446 = -203.\n</reasoning>\nFinal Answer: -203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 86 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 86 × (1 + 30/100) = 86 × 1.3 = 111.8.\n</reasoning>\nFinal Answer: 111.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -209 mod -270"
},
{
"role": "assistant",
"content": "<reasoning>\n-209 mod -270: -209 = -270 × 0 + -209, so remainder = -209.\n</reasoning>\nFinal Answer: -209"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 240?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 240 = (30/100) × 240 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4925. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4925 × 18/100 = 886.5. Total = 4925 + 886.5 = 5811.5.\n</reasoning>\nFinal Answer: 5811.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 + 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/19 + 12/16. Common denominator = 76. Result = 73/76.\n</reasoning>\nFinal Answer: 73/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 20 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(20+64) = 2×84 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 + 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/6 + 4/11. Common denominator = 33. Result = 67/33.\n</reasoning>\nFinal Answer: 67/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 40, 27, 20, 13, 16, 60, 70, 69, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 13 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 15, 18] and B = [1, 4, 7, 8, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 4].\n</reasoning>\nFinal Answer: [1, 4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -39 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 1x = 1. Divide by 1: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -20 = -125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 15x = -105. Divide by 15: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 889 - 401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 401 from 889: 889 - 401 = 488.\n</reasoning>\nFinal Answer: 488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:46 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/46, so B = A × (46/5) = 3 × 46/5 = 27.6.\n</reasoning>\nFinal Answer: 27.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 16 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 16 = 64 worker-days. New time = 64 / 11 = 5.8182 days.\n</reasoning>\nFinal Answer: 5.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 342 - -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from 342: 342 - -24 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:28 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/28, so B = A × (28/19) = 21 × 28/19 = 30.9474.\n</reasoning>\nFinal Answer: 30.9474"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×0 = 0. √discriminant = 0. x = (-(0) ± 0) / (2×3). Solutions: x = 0 (double root).\n</reasoning>\nFinal Answer: x = 0 (double root)"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -773 × 892"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -773 by 892: -773 × 892 = -689516.\n</reasoning>\nFinal Answer: -689516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14895 at 19% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14895 × 19 × 6 / 100 = 16980.3.\n</reasoning>\nFinal Answer: 16980.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 219 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 219 × (1 + 7/100) = 219 × 1.07 = 234.33.\n</reasoning>\nFinal Answer: 234.33"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 10 = 610"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 24x = 600. Divide by 24: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 44, 56, 1, 98, 72, 78, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 399/8 = 49.875.\n</reasoning>\nFinal Answer: 49.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -6 = -1369"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 29x = -1363. Divide by 29: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -8 = 640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 18x = 648. Divide by 18: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 * 8/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/13) × (8/13) = (112/169) = 112/169 after simplification.\n</reasoning>\nFinal Answer: 112/169"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 40 * 28 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×28=1120, then 10+1120-12=1118.\n</reasoning>\nFinal Answer: 1118"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [34, 45, 56, 67, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 34 and common difference 11. Next term = 78 + 11 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -22 mod 489"
},
{
"role": "assistant",
"content": "<reasoning>\n-22 mod 489: -22 = 489 × -1 + 467, so remainder = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 + 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/7 + 16/15. Common denominator = 105. Result = 397/105.\n</reasoning>\nFinal Answer: 397/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 - 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/4 - 1/11. LCD = 22. Result = 9/22.\n</reasoning>\nFinal Answer: 9/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-8)x + (-192) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×4×-192 = 3136. √discriminant = 56. x = (-(-8) ± 56) / (2×4). Solutions: x = 8 or x = -6.\n</reasoning>\nFinal Answer: x = 8 or x = -6"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 45 * 9 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×9=405, then 25+405-47=383.\n</reasoning>\nFinal Answer: 383"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 248 - 199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 199 from 248: 248 - 199 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 8, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (36-1)×8 = 3 + 280 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 42 = 189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 3x = 147. Divide by 3: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 / 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/20) ÷ (4/19) = (10/20) × (19/4) = 19/8.\n</reasoning>\nFinal Answer: 19/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:45 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/45, so B = A × (45/6) = 92 × 45/6 = 690.0.\n</reasoning>\nFinal Answer: 690.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 191 km/h. How far does it travel in 8 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 30/60 = 8.5000 hours. Distance = speed × time = 191 × 8.5000 = 1623.5 km.\n</reasoning>\nFinal Answer: 1623.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 28) * (13 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+28)=66, (13-34)=-21, then 66×-21=-1386.\n</reasoning>\nFinal Answer: -1386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/4 + 4/13. Common denominator = 52. Result = 133/52.\n</reasoning>\nFinal Answer: 133/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -475 ÷ -743"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -475 by -743. -475 ÷ -743 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -26 = -432"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 14x = -406. Divide by 14: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 129 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n129 = 3 × 43, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 16 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 1x = -15. Divide by 1: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 484?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 484 = (65/100) × 484 = 314.6.\n</reasoning>\nFinal Answer: 314.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 42 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 3+1764-29=1738.\n</reasoning>\nFinal Answer: 1738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 20 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 2x = -34. Divide by 2: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 92, 76, 62, 89, 95, 30, 82, 100, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 720/10 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -429 - -22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from -429: -429 - -22 = -407.\n</reasoning>\nFinal Answer: -407"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 8 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 13+64-15=62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 91, 35, 74, 50, 43, 87, 7, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 91: 1, 35: 1, 74: 1, 50: 1, 43: 1, 87: 1, 7: 1, 89: 1}. Most frequent: [9, 91, 35, 74, 50, 43, 87, 7, 89].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 6 * 46 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×46=276, then 43+276-23=296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 50% of 306?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 306 = (50/100) × 306 = 153.0.\n</reasoning>\nFinal Answer: 153.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 132 - -461"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -461 from 132: 132 - -461 = 593.\n</reasoning>\nFinal Answer: 593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 89, 71, 77, 45, 18, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 45, 49, 71, 77, 84, 89]. Middle value(s) → median = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 - 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/15 - 15/16. LCD = 80. Result = -11/80.\n</reasoning>\nFinal Answer: -11/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 62, 14, 5, 20, 36, 61, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 12 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 56/60 = 12.9333 hours. Distance = speed × time = 66 × 12.9333 = 853.6 km.\n</reasoning>\nFinal Answer: 853.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -553 + 747"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -553 and 747: -553 + 747 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 44 km/h. How far does it travel in 8 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 2/60 = 8.0333 hours. Distance = speed × time = 44 × 8.0333 = 353.4667 km.\n</reasoning>\nFinal Answer: 353.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 24, 93, 97, 37, 88, 89, 6, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 24, 37, 72, 88, 89, 93, 97, 97]. Middle value(s) → median = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [10, 11, 18, 19] and B = [1, 8, 11, 16, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 18].\n</reasoning>\nFinal Answer: [10, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "21 is what percentage of 141?"
},
{
"role": "assistant",
"content": "<reasoning>\n(21/141) × 100 = 14.8936%.\n</reasoning>\nFinal Answer: 14.8936%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹1799. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1799 × 12/100 = 215.88. Total = 1799 + 215.88 = 2014.88.\n</reasoning>\nFinal Answer: 2014.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -21 = 357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 14x = 378. Divide by 14: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 87, 79, 94, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 402/5 = 80.4.\n</reasoning>\nFinal Answer: 80.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 10, 11, 15, 18, 19] and B = [1, 5, 9, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 18].\n</reasoning>\nFinal Answer: [1, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 40% of 702?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 702 = (40/100) × 702 = 280.8.\n</reasoning>\nFinal Answer: 280.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -291 mod 756"
},
{
"role": "assistant",
"content": "<reasoning>\n-291 mod 756: -291 = 756 × -1 + 465, so remainder = 465.\n</reasoning>\nFinal Answer: 465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 39 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 9x = 117. Divide by 9: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:42 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/42, so B = A × (42/44) = 57 × 42/44 = 54.4091.\n</reasoning>\nFinal Answer: 54.4091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 - 6/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/17 - 6/7. LCD = 119. Result = -95/119.\n</reasoning>\nFinal Answer: -95/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 64 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 64 × 65 = 2080.0.\n</reasoning>\nFinal Answer: 2080.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/5 - 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/5 - 2/4. LCD = 10. Result = 7/10.\n</reasoning>\nFinal Answer: 7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46642 at 11% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46642 × 11 × 1 / 100 = 5130.62.\n</reasoning>\nFinal Answer: 5130.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 14, 15] and B = [2, 3, 9, 13, 14, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 8, 9, 13, 19].\n</reasoning>\nFinal Answer: [2, 3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 * 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/13) × (4/17) = (16/221) = 16/221 after simplification.\n</reasoning>\nFinal Answer: 16/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 11 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 11 × 91 = 1001.\n</reasoning>\nFinal Answer: 1001"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 31 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 47+961-44=964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 80 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 80 + 156 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44432 at 15% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44432 × 15 × 6 / 100 = 39988.8.\n</reasoning>\nFinal Answer: 39988.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 43 = -568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 13x = -611. Divide by 13: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 66 = 1848.0.\n</reasoning>\nFinal Answer: 1848.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7917 at 19% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7917 × 19 × 10 / 100 = 15042.3.\n</reasoning>\nFinal Answer: 15042.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 39?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 39 = (40/100) × 39 = 15.6.\n</reasoning>\nFinal Answer: 15.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 28 = 840.\n</reasoning>\nFinal Answer: 840"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 * 19/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/3) × (19/2) = (19/6) = 19/6 after simplification.\n</reasoning>\nFinal Answer: 19/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 3, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (23-1)×3 = 31 + 66 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 10, 19] and B = [9, 10, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 19].\n</reasoning>\nFinal Answer: [10, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -41 = -121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 5x = -80. Divide by 5: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
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