messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 315 - 628"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 628 from 315: 315 - 628 = -313.\n</reasoning>\nFinal Answer: -313"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 * 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/12) × (15/19) = (45/228) = 15/76 after simplification.\n</reasoning>\nFinal Answer: 15/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 32 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 8+1024-40=992.\n</reasoning>\nFinal Answer: 992"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 70 = 5810.\n</reasoning>\nFinal Answer: 5810"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -486 mod 370"
},
{
"role": "assistant",
"content": "<reasoning>\n-486 mod 370: -486 = 370 × -2 + 254, so remainder = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 89, 71, 37, 86, 19, 27, 31, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 431/9 = 47.8889.\n</reasoning>\nFinal Answer: 47.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 65% of 811?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 811 = (65/100) × 811 = 527.15.\n</reasoning>\nFinal Answer: 527.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 51, 59, 67, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 8. Next term = 75 + 8 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 24, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 24 + 40 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹2374. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2374 × 28/100 = 664.72. Total = 2374 + 664.72 = 3038.72.\n</reasoning>\nFinal Answer: 3038.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:3 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/3, so B = A × (3/33) = 86 × 3/33 = 7.8182.\n</reasoning>\nFinal Answer: 7.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -625 + 854"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -625 and 854: -625 + 854 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -47 = 542"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 19x = 589. Divide by 19: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 32 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 32 × 3 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:37 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/37, so B = A × (37/48) = 98 × 37/48 = 75.5417.\n</reasoning>\nFinal Answer: 75.5417"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3684. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3684 × 12/100 = 442.08. Total = 3684 + 442.08 = 4126.08.\n</reasoning>\nFinal Answer: 4126.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 602?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 602 = (40/100) × 602 = 240.8.\n</reasoning>\nFinal Answer: 240.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (2)x + (-84) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×2×-84 = 676. √discriminant = 26. x = (-(2) ± 26) / (2×2). Solutions: x = -7 or x = 6.\n</reasoning>\nFinal Answer: x = -7 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-24)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×3×36 = 144. √discriminant = 12. x = (-(-24) ± 12) / (2×3). Solutions: x = 2 or x = 6.\n</reasoning>\nFinal Answer: x = 2 or x = 6"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 723 km apart. Their speeds are 109 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+78=187 km/h. Time = 723/187 = 3.8663 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×29)/1 = 1189.\n</reasoning>\nFinal Answer: 1189"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 68 km/h. How far does it travel in 6 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 16/60 = 6.2667 hours. Distance = speed × time = 68 × 6.2667 = 426.1333 km.\n</reasoning>\nFinal Answer: 426.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 75 = 2137.5.\n</reasoning>\nFinal Answer: 2137.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -48 = -876"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 18x = -828. Divide by 18: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 29, 56, 42, 59, 3, 10, 18, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 279/9 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -39 = 636"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 15x = 675. Divide by 15: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 653 - -483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -483 from 653: 653 - -483 = 1136.\n</reasoning>\nFinal Answer: 1136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 2 * 34 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×34=68, then 11+68-2=77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 84, 85, 33, 65, 51, 60, 68, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 33 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 17, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (21-1)×17 = 43 + 340 = 383.\n</reasoning>\nFinal Answer: 383"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 963 km apart. Their speeds are 76 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+61=137 km/h. Time = 963/137 = 7.0292 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 40 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+40) × 11 = 341.0.\n</reasoning>\nFinal Answer: 341.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 37 = 282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 7x = 245. Divide by 7: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 92 = 2484.0.\n</reasoning>\nFinal Answer: 2484.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -3 = -153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 10x = -150. Divide by 10: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 * 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/20) × (4/5) = (64/100) = 16/25 after simplification.\n</reasoning>\nFinal Answer: 16/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 853 + -594"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 853 and -594: 853 + -594 = 259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 16, 89, 37, 2, 93, 38, 48, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 16: 1, 89: 1, 37: 1, 2: 1, 93: 1, 38: 1, 48: 1, 41: 1}. Most frequent: [91, 16, 89, 37, 2, 93, 38, 48, 41].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 8/8. Common denominator = 4. Result = 17/4.\n</reasoning>\nFinal Answer: 17/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 4 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:26 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/26, so B = A × (26/25) = 5 × 26/25 = 5.2.\n</reasoning>\nFinal Answer: 5.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 32 * 17 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×17=544, then 37+544-50=531.\n</reasoning>\nFinal Answer: 531"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 43 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 43 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 / 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/5) ÷ (20/16) = (18/5) × (16/20) = 72/25.\n</reasoning>\nFinal Answer: 72/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 15 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 26+225-36=215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 18 mod -404"
},
{
"role": "assistant",
"content": "<reasoning>\n18 mod -404: 18 = -404 × -1 + -386, so remainder = -386.\n</reasoning>\nFinal Answer: -386"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 / 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/19) ÷ (17/7) = (9/19) × (7/17) = 63/323.\n</reasoning>\nFinal Answer: 63/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 46 + 47 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×46=644 and 47×44=2068, then add: 2712.\n</reasoning>\nFinal Answer: 2712"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 40 + 12 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×40=1320 and 12×17=204, then add: 1524.\n</reasoning>\nFinal Answer: 1524"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 825 mod 983"
},
{
"role": "assistant",
"content": "<reasoning>\n825 mod 983: 825 = 983 × 0 + 825, so remainder = 825.\n</reasoning>\nFinal Answer: 825"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 871?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 871 = (17/100) × 871 = 148.07.\n</reasoning>\nFinal Answer: 148.07"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 776 ÷ -19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 776 by -19. 776 ÷ -19 = -41 (integer division).\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 5 = -535"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 20x = -540. Divide by 20: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:24 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/24, so B = A × (24/7) = 51 × 24/7 = 174.8571.\n</reasoning>\nFinal Answer: 174.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 0 = 77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 11x = 77. Divide by 11: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:31 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/31, so B = A × (31/48) = 38 × 31/48 = 24.5417.\n</reasoning>\nFinal Answer: 24.5417"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 459 ÷ 233"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 459 by 233. 459 ÷ 233 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -992 × 54"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -992 by 54: -992 × 54 = -53568.\n</reasoning>\nFinal Answer: -53568"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 - 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/16 - 17/3. LCD = 48. Result = -257/48.\n</reasoning>\nFinal Answer: -257/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 17] and B = [1, 7, 10, 14, 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": "What is 60% of 656?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 656 = (60/100) × 656 = 393.6.\n</reasoning>\nFinal Answer: 393.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 * 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/16) × (5/17) = (85/272) = 5/16 after simplification.\n</reasoning>\nFinal Answer: 5/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "471 is what percentage of 890?"
},
{
"role": "assistant",
"content": "<reasoning>\n(471/890) × 100 = 52.9213%.\n</reasoning>\nFinal Answer: 52.9213%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -351 × -873"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -351 by -873: -351 × -873 = 306423.\n</reasoning>\nFinal Answer: 306423"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 19 = 131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 16x = 112. Divide by 16: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 9 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 3/12 = 0.25.\n</reasoning>\nFinal Answer: 0.25"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 16 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 16 = 48 worker-days. New time = 48 / 10 = 4.8 days.\n</reasoning>\nFinal Answer: 4.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 11) * (17 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+11)=56, (17-1)=16, then 56×16=896.\n</reasoning>\nFinal Answer: 896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 67 = 1943.\n</reasoning>\nFinal Answer: 1943"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "426 is what percentage of 458?"
},
{
"role": "assistant",
"content": "<reasoning>\n(426/458) × 100 = 93.0131%.\n</reasoning>\nFinal Answer: 93.0131%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 8 = 408.\n</reasoning>\nFinal Answer: 408"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 25, 26, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 25 + 26 + 36 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 48 + 2 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×48=1392 and 2×38=76, then add: 1468.\n</reasoning>\nFinal Answer: 1468"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 89, 83, 86, 92, 71, 69, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 41, 69, 71, 83, 86, 89, 92]. Middle value(s) → median = 77.0.\n</reasoning>\nFinal Answer: 77.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 758 km apart. Their speeds are 116 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+80=196 km/h. Time = 758/196 = 3.8673 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 + 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/19 + 19/17. Common denominator = 323. Result = 378/323.\n</reasoning>\nFinal Answer: 378/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 28 = -934"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 26x = -962. Divide by 26: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -109 - 462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 462 from -109: -109 - 462 = -571.\n</reasoning>\nFinal Answer: -571"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 273 - -919"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -919 from 273: 273 - -919 = 1192.\n</reasoning>\nFinal Answer: 1192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 44 * 27 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×27=1188, then 21+1188-39=1170.\n</reasoning>\nFinal Answer: 1170"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 29 = 27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 2x = -2. Divide by 2: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 9, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (31-1)×9 = 48 + 270 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:20 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/20, so B = A × (20/11) = 89 × 20/11 = 161.8182.\n</reasoning>\nFinal Answer: 161.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (9/11) = (135/198) = 15/22 after simplification.\n</reasoning>\nFinal Answer: 15/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [17, 50, 8, 21, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 50 - 8 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 58 = 1624.0.\n</reasoning>\nFinal Answer: 1624.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 58 + -627"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 58 and -627: 58 + -627 = -569.\n</reasoning>\nFinal Answer: -569"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×6)/1 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 21 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+21) × 27 = 459.0.\n</reasoning>\nFinal Answer: 459.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 41 km/h. How far does it travel in 10 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 28/60 = 10.4667 hours. Distance = speed × time = 41 × 10.4667 = 429.1333 km.\n</reasoning>\nFinal Answer: 429.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 33 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+33) × 17 = 637.5.\n</reasoning>\nFinal Answer: 637.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 - 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/14 - 16/7. LCD = 7. Result = -8/7.\n</reasoning>\nFinal Answer: -8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 31 = -319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 10x = -350. Divide by 10: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 580 + -424"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 580 and -424: 580 + -424 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 44 * 5 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×5=220, then 37+220-10=247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 497 ÷ 802"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 497 by 802. 497 ÷ 802 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -36 = 536"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 26x = 572. Divide by 26: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 - 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/5 - 15/2. LCD = 2. Result = -13/2.\n</reasoning>\nFinal Answer: -13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 - 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/4 - 16/8. LCD = 4. Result = 11/4.\n</reasoning>\nFinal Answer: 11/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 23 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 7x = 7. Divide by 7: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
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