messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 1/7 / 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/7) ÷ (8/8) = (1/7) × (8/8) = 1/7.\n</reasoning>\nFinal Answer: 1/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 2 = -258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 13x = -260. Divide by 13: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 120 mod -133"
},
{
"role": "assistant",
"content": "<reasoning>\n120 mod -133: 120 = -133 × -1 + -13, so remainder = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -109 mod -229"
},
{
"role": "assistant",
"content": "<reasoning>\n-109 mod -229: -109 = -229 × 0 + -109, so remainder = -109.\n</reasoning>\nFinal Answer: -109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 32 + 13 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×32=928 and 13×12=156, then add: 1084.\n</reasoning>\nFinal Answer: 1084"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (14/8) = (14/15) × (8/14) = 8/15.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 87 = 1740.0.\n</reasoning>\nFinal Answer: 1740.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 79 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 79 × (1 + 90/100) = 79 × 1.9 = 150.1.\n</reasoning>\nFinal Answer: 150.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -9 = 474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 21x = 483. Divide by 21: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 10 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 10 = 20 worker-days. New time = 20 / 13 = 1.5385 days.\n</reasoning>\nFinal Answer: 1.5385"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 1 apples and buys 126 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 1 + 126 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 - 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/3 - 1/10. LCD = 10. Result = 29/10.\n</reasoning>\nFinal Answer: 29/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 * 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/6) × (19/10) = (285/60) = 19/4 after simplification.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 81 = 5103.\n</reasoning>\nFinal Answer: 5103"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 / 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/5) ÷ (15/2) = (19/5) × (2/15) = 38/75.\n</reasoning>\nFinal Answer: 38/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -19 = -211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 6x = -192. Divide by 6: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 57 apples and buys 177 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 57 + 177 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "34 is what percentage of 195?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/195) × 100 = 17.4359%.\n</reasoning>\nFinal Answer: 17.4359%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 12) * (20 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+12)=23, (20-39)=-19, then 23×-19=-437.\n</reasoning>\nFinal Answer: -437"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -383 ÷ 251"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -383 by 251. -383 ÷ 251 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1069. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1069 × 18/100 = 192.42. Total = 1069 + 192.42 = 1261.42.\n</reasoning>\nFinal Answer: 1261.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 50 = -46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 2x = -96. Divide by 2: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "305 is what percentage of 752?"
},
{
"role": "assistant",
"content": "<reasoning>\n(305/752) × 100 = 40.5585%.\n</reasoning>\nFinal Answer: 40.5585%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 61 + -457"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 61 and -457: 61 + -457 = -396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -480 - 471"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 471 from -480: -480 - 471 = -951.\n</reasoning>\nFinal Answer: -951"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:14 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/14, so B = A × (14/35) = 42 × 14/35 = 16.8.\n</reasoning>\nFinal Answer: 16.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 398 - -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -95 from 398: 398 - -95 = 493.\n</reasoning>\nFinal Answer: 493"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 60 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 60 × 68 = 4080.\n</reasoning>\nFinal Answer: 4080"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 15 = 585.\n</reasoning>\nFinal Answer: 585"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 193 km/h. How far does it travel in 11 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 49/60 = 11.8167 hours. Distance = speed × time = 193 × 11.8167 = 2280.6167 km.\n</reasoning>\nFinal Answer: 2280.6167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 43, 62, 46, 69, 64, 59, 67, 17, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 436/10 = 43.6.\n</reasoning>\nFinal Answer: 43.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 64 and 121."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,121) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 15, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (10-1)×15 = 8 + 135 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 17, 34, 62, 62, 45, 40, 9, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 9 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 19 = 985"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 21x = 966. Divide by 21: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 - 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/6 - 5/16. LCD = 16. Result = 43/16.\n</reasoning>\nFinal Answer: 43/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:4 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/4, so B = A × (4/1) = 81 × 4/1 = 324.0.\n</reasoning>\nFinal Answer: 324.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 465."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 465 by smallest primes repeatedly: 465 = 3 × 5 × 31.\n</reasoning>\nFinal Answer: 3 × 5 × 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 47 * 42 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×42=1974, then 33+1974-48=1959.\n</reasoning>\nFinal Answer: 1959"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20245 at 2% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20245 × 2 × 4 / 100 = 1619.6.\n</reasoning>\nFinal Answer: 1619.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 525 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 525 × (1 - 7/100) = 525 × 0.9299999999999999 = 488.25.\n</reasoning>\nFinal Answer: 488.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 921 - 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 92 from 921: 921 - 92 = 829.\n</reasoning>\nFinal Answer: 829"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 310 ÷ 911"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 310 by 911. 310 ÷ 911 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 147 ÷ 471"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 147 by 471. 147 ÷ 471 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 542 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 542 × (1 - 40/100) = 542 × 0.6 = 325.2.\n</reasoning>\nFinal Answer: 325.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 34 = 672"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 22x = 638. Divide by 22: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 7 = 448.\n</reasoning>\nFinal Answer: 448"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 - 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/1 - 12/13. LCD = 13. Result = 92/13.\n</reasoning>\nFinal Answer: 92/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 / 11/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/13) ÷ (11/8) = (7/13) × (8/11) = 56/143.\n</reasoning>\nFinal Answer: 56/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 - 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/18 - 9/11. LCD = 198. Result = -41/198.\n</reasoning>\nFinal Answer: -41/198"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 17, 18, 19] and B = [4, 5, 6, 7, 11, 16, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 6, 11, 16, 17].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 45 * 30 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×30=1350, then 11+1350-15=1346.\n</reasoning>\nFinal Answer: 1346"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 99, 85, 20, 5, 64, 61, 53, 57, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 543/10 = 54.3.\n</reasoning>\nFinal Answer: 54.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 6 = -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 17x = -306. Divide by 17: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35977 at 12% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35977 × 12 × 10 / 100 = 43172.4.\n</reasoning>\nFinal Answer: 43172.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 100 km apart. Their speeds are 114 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+95=209 km/h. Time = 100/209 = 0.4785 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -17 = -273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 16x = -256. Divide by 16: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:39 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/39, so B = A × (39/37) = 20 × 39/37 = 21.0811.\n</reasoning>\nFinal Answer: 21.0811"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 25, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 25 + 26 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 12% of 965?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 965 = (12/100) × 965 = 115.8.\n</reasoning>\nFinal Answer: 115.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 * 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/13) × (6/5) = (42/65) = 42/65 after simplification.\n</reasoning>\nFinal Answer: 42/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 48 = 480.0.\n</reasoning>\nFinal Answer: 480.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [6, 13, 17] and B = [2, 3, 4, 7, 9, 11, 12, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 13, 17].\n</reasoning>\nFinal Answer: [6, 13, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹4324. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4324 × 5/100 = 216.2. Total = 4324 + 216.2 = 4540.2.\n</reasoning>\nFinal Answer: 4540.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 24 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 24 = 96 worker-days. New time = 96 / 19 = 5.0526 days.\n</reasoning>\nFinal Answer: 5.0526"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 523 km apart. Their speeds are 49 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+82=131 km/h. Time = 523/131 = 3.9924 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 112 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 112 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 34 = 934"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 20x = 900. Divide by 20: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 16, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (42-1)×16 = 4 + 656 = 660.\n</reasoning>\nFinal Answer: 660"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 60% of 533?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 533 = (60/100) × 533 = 319.8.\n</reasoning>\nFinal Answer: 319.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -11 = -126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 5x = -115. Divide by 5: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 553 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 553 × (1 - 10/100) = 553 × 0.9 = 497.7.\n</reasoning>\nFinal Answer: 497.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -13 + -984"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -13 and -984: -13 + -984 = -997.\n</reasoning>\nFinal Answer: -997"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 44) * (7 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+44)=60, (7-24)=-17, then 60×-17=-1020.\n</reasoning>\nFinal Answer: -1020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 634 × 555"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 634 by 555: 634 × 555 = 351870.\n</reasoning>\nFinal Answer: 351870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×10)/2 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -539 + 619"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -539 and 619: -539 + 619 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×13)/1 = 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "44 is what percentage of 124?"
},
{
"role": "assistant",
"content": "<reasoning>\n(44/124) × 100 = 35.4839%.\n</reasoning>\nFinal Answer: 35.4839%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹290. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 290 × 18/100 = 52.2. Total = 290 + 52.2 = 342.2.\n</reasoning>\nFinal Answer: 342.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -374 × 392"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -374 by 392: -374 × 392 = -146608.\n</reasoning>\nFinal Answer: -146608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1574. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1574 × 28/100 = 440.72. Total = 1574 + 440.72 = 2014.72.\n</reasoning>\nFinal Answer: 2014.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 42 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 13x = 26. Divide by 13: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 43 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 43 × 96 = 4128.\n</reasoning>\nFinal Answer: 4128"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 438 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 438 × (1 - 80/100) = 438 × 0.19999999999999996 = 87.6.\n</reasoning>\nFinal Answer: 87.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -19 = -869"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 17x = -850. Divide by 17: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -464 - -566"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -566 from -464: -464 - -566 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -1 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 2x = 92. Divide by 2: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 - 15/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/7 - 15/4. LCD = 28. Result = -93/28.\n</reasoning>\nFinal Answer: -93/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 37 apples and buys 143 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 37 + 143 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:46 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/46, so B = A × (46/36) = 93 × 46/36 = 118.8333.\n</reasoning>\nFinal Answer: 118.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -24 mod 106"
},
{
"role": "assistant",
"content": "<reasoning>\n-24 mod 106: -24 = 106 × -1 + 82, so remainder = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:28 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/28, so B = A × (28/18) = 7 × 28/18 = 10.8889.\n</reasoning>\nFinal Answer: 10.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 42 = 111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 23x = 69. Divide by 23: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 175 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 175 × (1 - 25/100) = 175 × 0.75 = 131.25.\n</reasoning>\nFinal Answer: 131.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 5 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 5 = 55 worker-days. New time = 55 / 20 = 2.75 days.\n</reasoning>\nFinal Answer: 2.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:23 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/23, so B = A × (23/48) = 47 × 23/48 = 22.5208.\n</reasoning>\nFinal Answer: 22.5208"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -550 mod 773"
},
{
"role": "assistant",
"content": "<reasoning>\n-550 mod 773: -550 = 773 × -1 + 223, so remainder = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 4, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (26-1)×4 = 14 + 100 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 22 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 22 = 198 worker-days. New time = 198 / 15 = 13.2 days.\n</reasoning>\nFinal Answer: 13.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
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