messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 18x + 39 = -285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 18x = -324. Divide by 18: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 5 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+5) × 16 = 272.0.\n</reasoning>\nFinal Answer: 272.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 32 = 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 9x = -27. Divide by 9: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:20 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/20, so B = A × (20/42) = 99 × 20/42 = 47.1429.\n</reasoning>\nFinal Answer: 47.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:15 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/15, so B = A × (15/29) = 14 × 15/29 = 7.2414.\n</reasoning>\nFinal Answer: 7.2414"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 18, 33, 48, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 15. Next term = 63 + 15 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 1) * (44 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+1)=23, (44-13)=31, then 23×31=713.\n</reasoning>\nFinal Answer: 713"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 8 = 332.0.\n</reasoning>\nFinal Answer: 332.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 65 = 5265.\n</reasoning>\nFinal Answer: 5265"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 903 + 581"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 903 and 581: 903 + 581 = 1484.\n</reasoning>\nFinal Answer: 1484"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 36, 53, 63, 29, 32, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 32, 36, 53, 63, 83, 92]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 83, 15, 96, 97, 87, 24, 35, 45, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 581/10 = 58.1.\n</reasoning>\nFinal Answer: 58.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 427 - 831"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 831 from 427: 427 - 831 = -404.\n</reasoning>\nFinal Answer: -404"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 23 * 8 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×8=184, then 42+184-40=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 188 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 188 + 72 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 / 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/2) ÷ (13/11) = (1/2) × (11/13) = 11/26.\n</reasoning>\nFinal Answer: 11/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -411 mod -489"
},
{
"role": "assistant",
"content": "<reasoning>\n-411 mod -489: -411 = -489 × 0 + -411, so remainder = -411.\n</reasoning>\nFinal Answer: -411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -8 = -1371"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 29x = -1363. Divide by 29: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 237 ÷ 194"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 237 by 194. 237 ÷ 194 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 5, 7, 12, 16, 19] and B = [5, 6, 13, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 16].\n</reasoning>\nFinal Answer: [5, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 864 ÷ 906"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 864 by 906. 864 ÷ 906 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -206 × -631"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -206 by -631: -206 × -631 = 129986.\n</reasoning>\nFinal Answer: 129986"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -647 - 828"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 828 from -647: -647 - 828 = -1475.\n</reasoning>\nFinal Answer: -1475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 50 = 398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 29x = 348. Divide by 29: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 * 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/6) × (9/14) = (162/84) = 27/14 after simplification.\n</reasoning>\nFinal Answer: 27/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 10, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (38-1)×10 = 22 + 370 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -842 + 128"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -842 and 128: -842 + 128 = -714.\n</reasoning>\nFinal Answer: -714"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 6 + 12 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×6=276 and 12×35=420, then add: 696.\n</reasoning>\nFinal Answer: 696"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 306 - -564"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -564 from 306: 306 - -564 = 870.\n</reasoning>\nFinal Answer: 870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 34 = -380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 9x = -414. Divide by 9: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 857 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 857 × (1 + 45/100) = 857 × 1.45 = 1242.65.\n</reasoning>\nFinal Answer: 1242.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9331 at 1% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9331 × 1 × 2 / 100 = 186.62.\n</reasoning>\nFinal Answer: 186.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 12 * 26 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×26=312, then 49+312-25=336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 42, 69, 7, 30, 55, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 304/7 = 43.4286.\n</reasoning>\nFinal Answer: 43.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 8/18 * 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/18) × (13/14) = (104/252) = 26/63 after simplification.\n</reasoning>\nFinal Answer: 26/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/8 / 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/8) ÷ (10/11) = (11/8) × (11/10) = 121/80.\n</reasoning>\nFinal Answer: 121/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 92."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 92 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:30 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/30, so B = A × (30/24) = 59 × 30/24 = 73.75.\n</reasoning>\nFinal Answer: 73.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -663 mod 824"
},
{
"role": "assistant",
"content": "<reasoning>\n-663 mod 824: -663 = 824 × -1 + 161, so remainder = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 76 = 6612.\n</reasoning>\nFinal Answer: 6612"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 31 apples and buys 122 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 31 + 122 = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 79, 45, 87, 77, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 19 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -11 = 541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 24x = 552. Divide by 24: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 * 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/18) × (14/15) = (266/270) = 133/135 after simplification.\n</reasoning>\nFinal Answer: 133/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8963 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8963 × 10 × 4 / 100 = 3585.2.\n</reasoning>\nFinal Answer: 3585.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "344 is what percentage of 408?"
},
{
"role": "assistant",
"content": "<reasoning>\n(344/408) × 100 = 84.3137%.\n</reasoning>\nFinal Answer: 84.3137%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 14, 18] and B = [1, 2, 5, 9, 10, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 9, 10, 14, 18, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3125. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3125 × 5/100 = 156.25. Total = 3125 + 156.25 = 3281.25.\n</reasoning>\nFinal Answer: 3281.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -222 mod 44"
},
{
"role": "assistant",
"content": "<reasoning>\n-222 mod 44: -222 = 44 × -6 + 42, so remainder = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 42, 31, 16, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 154/5 = 30.8.\n</reasoning>\nFinal Answer: 30.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 23 apples and buys 85 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 23 + 85 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -198 mod -378"
},
{
"role": "assistant",
"content": "<reasoning>\n-198 mod -378: -198 = -378 × 0 + -198, so remainder = -198.\n</reasoning>\nFinal Answer: -198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 76, 30, 89, 35, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 30, 35, 76, 89, 91]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 16 + 39 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×16=784 and 39×36=1404, then add: 2188.\n</reasoning>\nFinal Answer: 2188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 46, 82, 18, 36, 69, 90, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 422/8 = 52.75.\n</reasoning>\nFinal Answer: 52.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -313 × 755"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -313 by 755: -313 × 755 = -236315.\n</reasoning>\nFinal Answer: -236315"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 453 - 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 219 from 453: 453 - 219 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 - 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/2 - 20/11. LCD = 11. Result = 2/11.\n</reasoning>\nFinal Answer: 2/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 134 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 134 × (1 + 70/100) = 134 × 1.7 = 227.8.\n</reasoning>\nFinal Answer: 227.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 79 = 2844.\n</reasoning>\nFinal Answer: 2844"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-27)x + (54) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -27² - 4×3×54 = 81. √discriminant = 9. x = (-(-27) ± 9) / (2×3). Solutions: x = 6 or x = 3.\n</reasoning>\nFinal Answer: x = 6 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 61, 70, 50, 39, 73, 49, 96, 7, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 558/10 = 55.8.\n</reasoning>\nFinal Answer: 55.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:47 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/47, so B = A × (47/20) = 26 × 47/20 = 61.1.\n</reasoning>\nFinal Answer: 61.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -113 mod -594"
},
{
"role": "assistant",
"content": "<reasoning>\n-113 mod -594: -113 = -594 × 0 + -113, so remainder = -113.\n</reasoning>\nFinal Answer: -113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 + 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/15 + 13/8. Common denominator = 120. Result = 227/120.\n</reasoning>\nFinal Answer: 227/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 721 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 721 × (1 - 70/100) = 721 × 0.30000000000000004 = 216.3.\n</reasoning>\nFinal Answer: 216.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 - 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/2 - 6/17. LCD = 17. Result = 164/17.\n</reasoning>\nFinal Answer: 164/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 * 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/13) × (19/17) = (361/221) = 361/221 after simplification.\n</reasoning>\nFinal Answer: 361/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:36 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/36, so B = A × (36/42) = 26 × 36/42 = 22.2857.\n</reasoning>\nFinal Answer: 22.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 69 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(69+18) = 2×87 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34721 at 15% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34721 × 15 × 1 / 100 = 5208.15.\n</reasoning>\nFinal Answer: 5208.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 38 = 1026.0.\n</reasoning>\nFinal Answer: 1026.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 32, 90, 85, 49, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 10 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 97, 43, 30, 12, 62, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/7 = 52.5714.\n</reasoning>\nFinal Answer: 52.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 / 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/16) ÷ (10/9) = (14/16) × (9/10) = 63/80.\n</reasoning>\nFinal Answer: 63/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 12 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+12) × 10 = 215.0.\n</reasoning>\nFinal Answer: 215.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 263 ÷ -593"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 263 by -593. 263 ÷ -593 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 10, 14] and B = [1, 7, 11, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 6, 7, 8, 10, 11, 14, 15, 16].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 + 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/20 + 16/8. Common denominator = 10. Result = 23/10.\n</reasoning>\nFinal Answer: 23/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (10)x + (-12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×2×-12 = 196. √discriminant = 14. x = (-(10) ± 14) / (2×2). Solutions: x = -6 or x = 1.\n</reasoning>\nFinal Answer: x = -6 or x = 1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 42, 21, 65, 55, 40, 76, 66, 45, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 15 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 * 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/8) × (1/6) = (19/48) = 19/48 after simplification.\n</reasoning>\nFinal Answer: 19/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 10 = -425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 29x = -435. Divide by 29: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 42 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 42+1764-3=1803.\n</reasoning>\nFinal Answer: 1803"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 29) * (41 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+29)=60, (41-8)=33, then 60×33=1980.\n</reasoning>\nFinal Answer: 1980"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 22, 23, 34, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 22: 1, 23: 1, 34: 1, 33: 1}. Most frequent: [5, 22, 23, 34, 33].\n</reasoning>\nFinal Answer: [5, 22, 23, 34, 33]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -38 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 2x = -74. Divide by 2: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 124 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 124 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 6 = 165.0.\n</reasoning>\nFinal Answer: 165.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 9 + 47 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×9=72 and 47×47=2209, then add: 2281.\n</reasoning>\nFinal Answer: 2281"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 / 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/2) ÷ (18/6) = (14/2) × (6/18) = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 12, 15, 17] and B = [1, 6, 7], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 12, 15, 17].\n</reasoning>\nFinal Answer: [8, 12, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:20 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/20, so B = A × (20/1) = 76 × 20/1 = 1520.0.\n</reasoning>\nFinal Answer: 1520.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 656 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 656 × (1 - 25/100) = 656 × 0.75 = 492.0.\n</reasoning>\nFinal Answer: 492.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 18 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+18) × 27 = 378.0.\n</reasoning>\nFinal Answer: 378.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:28 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/28, so B = A × (28/29) = 60 × 28/29 = 57.931.\n</reasoning>\nFinal Answer: 57.931"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 103 + 996"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 103 and 996: 103 + 996 = 1099.\n</reasoning>\nFinal Answer: 1099"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 + 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/1 + 11/16. Common denominator = 16. Result = 267/16.\n</reasoning>\nFinal Answer: 267/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 55, 60, 53, 4, 38, 85, 26, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 4 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 4 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 4 × 67 = 134.0.\n</reasoning>\nFinal Answer: 134.0"
}
] | easy | [
"geometry",
"area"
] |
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