messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41394 at 9% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41394 × 9 × 8 / 100 = 29803.68.\n</reasoning>\nFinal Answer: 29803.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 87, 6, 82, 22, 66, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 17, 22, 47, 66, 82, 87]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 * 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/6) × (6/3) = (96/18) = 16/3 after simplification.\n</reasoning>\nFinal Answer: 16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 12, 17, 18] and B = [3, 5, 11, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5].\n</reasoning>\nFinal Answer: [5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 834 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 834 × (1 + 5/100) = 834 × 1.05 = 875.7.\n</reasoning>\nFinal Answer: 875.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 45, 20, 50, 98, 52, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 361/7 = 51.5714.\n</reasoning>\nFinal Answer: 51.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [74, 99, 23, 26, 15, 42, 71, 100, 70, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {74: 1, 99: 1, 23: 1, 26: 1, 15: 1, 42: 1, 71: 1, 100: 1, 70: 1, 44: 1}. Most frequent: [74, 99, 23, 26, 15, 42, 71, 100, 70, 44].\n</r... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹4930. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4930 × 18/100 = 887.4. Total = 4930 + 887.4 = 5817.4.\n</reasoning>\nFinal Answer: 5817.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 60, 25, 81, 63, 88, 86, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 495/8 = 61.875.\n</reasoning>\nFinal Answer: 61.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 43 km/h. How far does it travel in 4 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 54/60 = 4.9000 hours. Distance = speed × time = 43 × 4.9000 = 210.7 km.\n</reasoning>\nFinal Answer: 210.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 75 = 3000.\n</reasoning>\nFinal Answer: 3000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 16 = -136"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 4x = -152. Divide by 4: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 16) * (13 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+16)=30, (13-8)=5, then 30×5=150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:7 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/7, so B = A × (7/30) = 94 × 7/30 = 21.9333.\n</reasoning>\nFinal Answer: 21.9333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:36 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/36, so B = A × (36/40) = 90 × 36/40 = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 24 = 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 25x = 475. Divide by 25: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:7 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/7, so B = A × (7/10) = 11 × 7/10 = 7.7.\n</reasoning>\nFinal Answer: 7.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:43 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/43, so B = A × (43/12) = 28 × 43/12 = 100.3333.\n</reasoning>\nFinal Answer: 100.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 9, 18] and B = [4, 8, 10, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 9].\n</reasoning>\nFinal Answer: [6, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 17, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (39-1)×17 = 34 + 646 = 680.\n</reasoning>\nFinal Answer: 680"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -475 + 497"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -475 and 497: -475 + 497 = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 621 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 621 × (1 - 25/100) = 621 × 0.75 = 465.75.\n</reasoning>\nFinal Answer: 465.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 28, 37, 76, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 301/5 = 60.2.\n</reasoning>\nFinal Answer: 60.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 24, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 24 + 40 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 / 12/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/8) ÷ (12/2) = (13/8) × (2/12) = 13/48.\n</reasoning>\nFinal Answer: 13/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -36 = -356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 8x = -320. Divide by 8: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 + 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/16 + 15/11. Common denominator = 11. Result = 26/11.\n</reasoning>\nFinal Answer: 26/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 2 = -815"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 19x = -817. Divide by 19: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -68 + 242"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -68 and 242: -68 + 242 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 776 - -370"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -370 from 776: 776 - -370 = 1146.\n</reasoning>\nFinal Answer: 1146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 11, 17] and B = [7, 13, 15, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 5, 11].\n</reasoning>\nFinal Answer: [3, 4, 5, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 451 km apart. Their speeds are 86 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+109=195 km/h. Time = 451/195 = 2.3128 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -933 mod -895"
},
{
"role": "assistant",
"content": "<reasoning>\n-933 mod -895: -933 = -895 × 1 + -38, so remainder = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 723?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 723 = (80/100) × 723 = 578.4.\n</reasoning>\nFinal Answer: 578.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 138 - -555"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -555 from 138: 138 - -555 = 693.\n</reasoning>\nFinal Answer: 693"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 972 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 972 × (1 + 80/100) = 972 × 1.8 = 1749.6.\n</reasoning>\nFinal Answer: 1749.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 692 + 48"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 692 and 48: 692 + 48 = 740.\n</reasoning>\nFinal Answer: 740"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 * 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/6) × (7/12) = (77/72) = 77/72 after simplification.\n</reasoning>\nFinal Answer: 77/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "599 is what percentage of 851?"
},
{
"role": "assistant",
"content": "<reasoning>\n(599/851) × 100 = 70.3878%.\n</reasoning>\nFinal Answer: 70.3878%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 661 mod -937"
},
{
"role": "assistant",
"content": "<reasoning>\n661 mod -937: 661 = -937 × -1 + -276, so remainder = -276.\n</reasoning>\nFinal Answer: -276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "209 is what percentage of 392?"
},
{
"role": "assistant",
"content": "<reasoning>\n(209/392) × 100 = 53.3163%.\n</reasoning>\nFinal Answer: 53.3163%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -410 + 913"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -410 and 913: -410 + 913 = 503.\n</reasoning>\nFinal Answer: 503"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 99 = 8217.\n</reasoning>\nFinal Answer: 8217"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 9, 10, 11, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 1. Next term = 12 + 1 = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 8 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 2+64-36=30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 65% of 89?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 89 = (65/100) × 89 = 57.85.\n</reasoning>\nFinal Answer: 57.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 62, 50, 67, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 227/5 = 45.4.\n</reasoning>\nFinal Answer: 45.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -234 mod -545"
},
{
"role": "assistant",
"content": "<reasoning>\n-234 mod -545: -234 = -545 × 0 + -234, so remainder = -234.\n</reasoning>\nFinal Answer: -234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 37 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 31+1369-16=1384.\n</reasoning>\nFinal Answer: 1384"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -24 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 2x = 98. Divide by 2: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 24 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 24 = 384 worker-days. New time = 384 / 8 = 48.0 days.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 / 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/16) ÷ (12/19) = (2/16) × (19/12) = 19/96.\n</reasoning>\nFinal Answer: 19/96"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 27 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 27 = 162 worker-days. New time = 162 / 19 = 8.5263 days.\n</reasoning>\nFinal Answer: 8.5263"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 1 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 25/60 = 1.4167 hours. Distance = speed × time = 99 × 1.4167 = 140.25 km.\n</reasoning>\nFinal Answer: 140.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 72 and 150."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(72,150) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 49 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+49) × 38 = 1444.0.\n</reasoning>\nFinal Answer: 1444.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (0)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×2×0 = 0. √discriminant = 0. x = (-(0) ± 0) / (2×2). Solutions: x = 0 (double root).\n</reasoning>\nFinal Answer: x = 0 (double root)"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 25 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 25 = 475 worker-days. New time = 475 / 14 = 33.9286 days.\n</reasoning>\nFinal Answer: 33.9286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 14, and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 14 + 17 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 28 = -1292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 30x = -1320. Divide by 30: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 547 × 344"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 547 by 344: 547 × 344 = 188168.\n</reasoning>\nFinal Answer: 188168"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 49 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+49) × 16 = 672.0.\n</reasoning>\nFinal Answer: 672.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 30% of 299?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 299 = (30/100) × 299 = 89.7.\n</reasoning>\nFinal Answer: 89.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -10 mod -745"
},
{
"role": "assistant",
"content": "<reasoning>\n-10 mod -745: -10 = -745 × 0 + -10, so remainder = -10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -182 + -559"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -182 and -559: -182 + -559 = -741.\n</reasoning>\nFinal Answer: -741"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 24 + 37 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×24=24 and 37×39=1443, then add: 1467.\n</reasoning>\nFinal Answer: 1467"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 37 * 19 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×19=703, then 32+703-11=724.\n</reasoning>\nFinal Answer: 724"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 + 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/19 + 10/20. Common denominator = 38. Result = 47/38.\n</reasoning>\nFinal Answer: 47/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "173 is what percentage of 565?"
},
{
"role": "assistant",
"content": "<reasoning>\n(173/565) × 100 = 30.6195%.\n</reasoning>\nFinal Answer: 30.6195%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 44 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 5x = -60. Divide by 5: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -423 mod 922"
},
{
"role": "assistant",
"content": "<reasoning>\n-423 mod 922: -423 = 922 × -1 + 499, so remainder = 499.\n</reasoning>\nFinal Answer: 499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -16 = 573"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 19x = 589. Divide by 19: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "752 is what percentage of 806?"
},
{
"role": "assistant",
"content": "<reasoning>\n(752/806) × 100 = 93.3002%.\n</reasoning>\nFinal Answer: 93.3002%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "50 is what percentage of 140?"
},
{
"role": "assistant",
"content": "<reasoning>\n(50/140) × 100 = 35.7143%.\n</reasoning>\nFinal Answer: 35.7143%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 + 6/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/7 + 6/1. Common denominator = 1. Result = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (0)x + (-20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×5×-20 = 400. √discriminant = 20. x = (-(0) ± 20) / (2×5). Solutions: x = -2 or x = 2.\n</reasoning>\nFinal Answer: x = -2 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -86 + 804"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -86 and 804: -86 + 804 = 718.\n</reasoning>\nFinal Answer: 718"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 24 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 24 = 408 worker-days. New time = 408 / 9 = 45.3333 days.\n</reasoning>\nFinal Answer: 45.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 12 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 12 = 120 worker-days. New time = 120 / 4 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -818 mod 415"
},
{
"role": "assistant",
"content": "<reasoning>\n-818 mod 415: -818 = 415 × -2 + 12, so remainder = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 838 ÷ 287"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 838 by 287. 838 ÷ 287 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:35 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/35, so B = A × (35/39) = 19 × 35/39 = 17.0513.\n</reasoning>\nFinal Answer: 17.0513"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 82, 77, 3, 40, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 82: 1, 77: 1, 3: 1, 40: 1, 75: 1}. Most frequent: [37, 82, 77, 3, 40, 75].\n</reasoning>\nFinal Answer: [37, 82, 77, 3, 40, 75]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 66 = 1815.0.\n</reasoning>\nFinal Answer: 1815.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 45 = 4185.\n</reasoning>\nFinal Answer: 4185"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 534 × -359"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 534 by -359: 534 × -359 = -191706.\n</reasoning>\nFinal Answer: -191706"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 61, 79, 97, 115]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 18. Next term = 115 + 18 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:25 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/25, so B = A × (25/26) = 61 × 25/26 = 58.6538.\n</reasoning>\nFinal Answer: 58.6538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 21, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 21 + 25 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 8 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(8+48) = 2×56 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 290 mod 520"
},
{
"role": "assistant",
"content": "<reasoning>\n290 mod 520: 290 = 520 × 0 + 290, so remainder = 290.\n</reasoning>\nFinal Answer: 290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:43 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/43, so B = A × (43/5) = 97 × 43/5 = 834.2.\n</reasoning>\nFinal Answer: 834.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "168 is what percentage of 356?"
},
{
"role": "assistant",
"content": "<reasoning>\n(168/356) × 100 = 47.191%.\n</reasoning>\nFinal Answer: 47.191%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 55 = 1402.5.\n</reasoning>\nFinal Answer: 1402.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 121 + -819"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 121 and -819: 121 + -819 = -698.\n</reasoning>\nFinal Answer: -698"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 98 apples and buys 115 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 98 + 115 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/19 * 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/19) × (20/15) = (160/285) = 32/57 after simplification.\n</reasoning>\nFinal Answer: 32/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3711. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3711 × 28/100 = 1039.08. Total = 3711 + 1039.08 = 4750.08.\n</reasoning>\nFinal Answer: 4750.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "357 is what percentage of 687?"
},
{
"role": "assistant",
"content": "<reasoning>\n(357/687) × 100 = 51.9651%.\n</reasoning>\nFinal Answer: 51.9651%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 63 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(63+95) = 2×158 = 316.\n</reasoning>\nFinal Answer: 316"
}
] | easy | [
"geometry",
"perimeter"
] |
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