messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹2653. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2653 × 12/100 = 318.36. Total = 2653 + 318.36 = 2971.36.\n</reasoning>\nFinal Answer: 2971.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 98 = 6566.\n</reasoning>\nFinal Answer: 6566"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (16)x + (-128) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×4×-128 = 2304. √discriminant = 48. x = (-(16) ± 48) / (2×4). Solutions: x = 4 or x = -8.\n</reasoning>\nFinal Answer: x = 4 or x = -8"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 18."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 18 by smallest primes repeatedly: 18 = 2 × 3 × 3.\n</reasoning>\nFinal Answer: 2 × 3 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 8 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 8 = 40 worker-days. New time = 40 / 2 = 20.0 days.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:44 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/44, so B = A × (44/14) = 43 × 44/14 = 135.1429.\n</reasoning>\nFinal Answer: 135.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 301 ÷ 671"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 301 by 671. 301 ÷ 671 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 615?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 615 = (30/100) × 615 = 184.5.\n</reasoning>\nFinal Answer: 184.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 503 × 363"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 503 by 363: 503 × 363 = 182589.\n</reasoning>\nFinal Answer: 182589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -680 mod 524"
},
{
"role": "assistant",
"content": "<reasoning>\n-680 mod 524: -680 = 524 × -2 + 368, so remainder = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -732 ÷ 745"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -732 by 745. -732 ÷ 745 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 199?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 199 = (60/100) × 199 = 119.4.\n</reasoning>\nFinal Answer: 119.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 30 = 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 5x = 85. Divide by 5: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 83, 20, 16, 8, 1, 55, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 8, 11, 16, 20, 55, 55, 83]. Middle value(s) → median = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 670 + -900"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 670 and -900: 670 + -900 = -230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 115 km/h. How far does it travel in 5 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 51/60 = 5.8500 hours. Distance = speed × time = 115 × 5.8500 = 672.75 km.\n</reasoning>\nFinal Answer: 672.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 362 × 338"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 362 by 338: 362 × 338 = 122356.\n</reasoning>\nFinal Answer: 122356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 + 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/4 + 16/16. Common denominator = 1. Result = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:1 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/1, so B = A × (1/1) = 85 × 1/1 = 85.0.\n</reasoning>\nFinal Answer: 85.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -14 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 3x = -78. Divide by 3: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 23 - -140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -140 from 23: 23 - -140 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×25)/5 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 81 km/h. How far does it travel in 1 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 43/60 = 1.7167 hours. Distance = speed × time = 81 × 1.7167 = 139.05 km.\n</reasoning>\nFinal Answer: 139.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 2 + 31 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×2=10 and 31×34=1054, then add: 1064.\n</reasoning>\nFinal Answer: 1064"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -123 - -152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -152 from -123: -123 - -152 = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 22 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 22 = 242 worker-days. New time = 242 / 19 = 12.7368 days.\n</reasoning>\nFinal Answer: 12.7368"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 4 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+4) × 22 = 77.0.\n</reasoning>\nFinal Answer: 77.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -827 × -92"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -827 by -92: -827 × -92 = 76084.\n</reasoning>\nFinal Answer: 76084"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 - 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/6 - 4/20. LCD = 10. Result = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -32 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 17x = 255. Divide by 17: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 79 = 7347.\n</reasoning>\nFinal Answer: 7347"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:33 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/33, so B = A × (33/33) = 84 × 33/33 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "13 is what percentage of 584?"
},
{
"role": "assistant",
"content": "<reasoning>\n(13/584) × 100 = 2.226%.\n</reasoning>\nFinal Answer: 2.226%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 61, 54, 50, 1, 64, 4, 12, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 1 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 48 = -465"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 19x = -513. Divide by 19: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:6 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/6, so B = A × (6/28) = 61 × 6/28 = 13.0714.\n</reasoning>\nFinal Answer: 13.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 20 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 20 = 100 worker-days. New time = 100 / 6 = 16.6667 days.\n</reasoning>\nFinal Answer: 16.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 16, 18] and B = [1, 4, 5, 8, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 8, 14, 16, 18].\n</reasoning>\nFinal Answer: [1, 5, 8, 14,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 112 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 112 × (1 - 100/100) = 112 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -48 = 160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 26x = 208. Divide by 26: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/13 / 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/13) ÷ (8/5) = (18/13) × (5/8) = 45/52.\n</reasoning>\nFinal Answer: 45/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 17 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 17 × 60 = 1020.\n</reasoning>\nFinal Answer: 1020"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 191 apples and buys 154 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 191 + 154 = 345.\n</reasoning>\nFinal Answer: 345"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "301 is what percentage of 664?"
},
{
"role": "assistant",
"content": "<reasoning>\n(301/664) × 100 = 45.3313%.\n</reasoning>\nFinal Answer: 45.3313%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 13 + 9 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×13=221 and 9×4=36, then add: 257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 156 km/h. How far does it travel in 10 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 34/60 = 10.5667 hours. Distance = speed × time = 156 × 10.5667 = 1648.4 km.\n</reasoning>\nFinal Answer: 1648.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 40 + 29 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×40=2000 and 29×6=174, then add: 2174.\n</reasoning>\nFinal Answer: 2174"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -9 = 621"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 30x = 630. Divide by 30: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 154 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 154 × (1 + 7/100) = 154 × 1.07 = 164.78.\n</reasoning>\nFinal Answer: 164.78"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 30 = -180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 21x = -210. Divide by 21: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -481 - 548"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 548 from -481: -481 - 548 = -1029.\n</reasoning>\nFinal Answer: -1029"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 790 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 790 × (1 + 65/100) = 790 × 1.65 = 1303.5.\n</reasoning>\nFinal Answer: 1303.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 173 apples and buys 138 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 173 + 138 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -15 = -231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 12x = -216. Divide by 12: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39138 at 19% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39138 × 19 × 4 / 100 = 29744.88.\n</reasoning>\nFinal Answer: 29744.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 / 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/15) ÷ (6/13) = (3/15) × (13/6) = 13/30.\n</reasoning>\nFinal Answer: 13/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 28 = 226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 18x = 198. Divide by 18: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 938 × -942"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 938 by -942: 938 × -942 = -883596.\n</reasoning>\nFinal Answer: -883596"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 9 = 405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 22x = 396. Divide by 22: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 438 × 695"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 438 by 695: 438 × 695 = 304410.\n</reasoning>\nFinal Answer: 304410"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 / 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/14) ÷ (6/4) = (20/14) × (4/6) = 20/21.\n</reasoning>\nFinal Answer: 20/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 49 + 39 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×49=1176 and 39×29=1131, then add: 2307.\n</reasoning>\nFinal Answer: 2307"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 11, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (35-1)×11 = 5 + 374 = 379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 18, 61, 57, 47, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 47, 57, 61, 79, 84]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 * 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/19) × (14/16) = (14/304) = 7/152 after simplification.\n</reasoning>\nFinal Answer: 7/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 753 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 753 × (1 + 80/100) = 753 × 1.8 = 1355.4.\n</reasoning>\nFinal Answer: 1355.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 / 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/1) ÷ (3/13) = (15/1) × (13/3) = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "726 is what percentage of 962?"
},
{
"role": "assistant",
"content": "<reasoning>\n(726/962) × 100 = 75.4678%.\n</reasoning>\nFinal Answer: 75.4678%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 754 + -289"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 754 and -289: 754 + -289 = 465.\n</reasoning>\nFinal Answer: 465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:28 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/28, so B = A × (28/38) = 35 × 28/38 = 25.7895.\n</reasoning>\nFinal Answer: 25.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 76 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 76 × (1 - 65/100) = 76 × 0.35 = 26.6.\n</reasoning>\nFinal Answer: 26.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 48 = 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 10x = 210. Divide by 10: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -509 - -323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -323 from -509: -509 - -323 = -186.\n</reasoning>\nFinal Answer: -186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 25 and 123."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(25,123) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11034 at 11% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11034 × 11 × 5 / 100 = 6068.7.\n</reasoning>\nFinal Answer: 6068.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 33 * 36 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×36=1188, then 36+1188-12=1212.\n</reasoning>\nFinal Answer: 1212"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:50 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/50, so B = A × (50/22) = 11 × 50/22 = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 521 ÷ -255"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 521 by -255. 521 ÷ -255 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 873 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 873 × (1 - 20/100) = 873 × 0.8 = 698.4.\n</reasoning>\nFinal Answer: 698.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 92 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 92 × 96 = 8832.\n</reasoning>\nFinal Answer: 8832"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 377 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 377 × (1 + 15/100) = 377 × 1.15 = 433.55.\n</reasoning>\nFinal Answer: 433.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 30 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 30 = 150 worker-days. New time = 150 / 4 = 37.5 days.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 40 apples and buys 127 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 40 + 127 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -648 + 131"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -648 and 131: -648 + 131 = -517.\n</reasoning>\nFinal Answer: -517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 9 and 179."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(9,179) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 67 × -493"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 67 by -493: 67 × -493 = -33031.\n</reasoning>\nFinal Answer: -33031"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 305 ÷ -20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 305 by -20. 305 ÷ -20 = -16 (integer division).\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42302 at 8% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42302 × 8 × 10 / 100 = 33841.6.\n</reasoning>\nFinal Answer: 33841.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 719 mod 198"
},
{
"role": "assistant",
"content": "<reasoning>\n719 mod 198: 719 = 198 × 3 + 125, so remainder = 125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 24 = 372"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 12x = 348. Divide by 12: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 924 × 456"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 924 by 456: 924 × 456 = 421344.\n</reasoning>\nFinal Answer: 421344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 43."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 43 by smallest primes repeatedly: 43 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 - 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/3 - 6/15. LCD = 15. Result = 64/15.\n</reasoning>\nFinal Answer: 64/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 12, 17] and B = [5, 6, 7, 8, 12, 14, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 7, 8, 12, 14, 17, 18, 19].\n</reasoning>\nFinal Answer: [4, 5, 6, 7, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:47 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/47, so B = A × (47/15) = 18 × 47/15 = 56.4.\n</reasoning>\nFinal Answer: 56.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 + 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/5 + 8/1. Common denominator = 5. Result = 44/5.\n</reasoning>\nFinal Answer: 44/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 12% of 317?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 317 = (12/100) × 317 = 38.04.\n</reasoning>\nFinal Answer: 38.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/14 + 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/14 + 19/15. Common denominator = 105. Result = 193/105.\n</reasoning>\nFinal Answer: 193/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 25 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+25) × 47 = 1339.5.\n</reasoning>\nFinal Answer: 1339.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 44, 39, 51, 58, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 21, 39, 44, 51, 58]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
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