messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 59 = 1652.0.\n</reasoning>\nFinal Answer: 1652.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:38 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/38, so B = A × (38/27) = 32 × 38/27 = 45.037.\n</reasoning>\nFinal Answer: 45.037"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×34)/1 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [95, 6, 86, 2, 18, 2, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 2, 6, 18, 86, 95, 98]. Middle value(s) → median = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 61 and 168."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(61,168) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 14, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (36-1)×14 = 27 + 490 = 517.\n</reasoning>\nFinal Answer: 517"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 622 km apart. Their speeds are 55 km/h and 46 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+46=101 km/h. Time = 622/101 = 6.1584 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 14 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 14 = 266 worker-days. New time = 266 / 9 = 29.5556 days.\n</reasoning>\nFinal Answer: 29.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 11 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 47/60 = 11.7833 hours. Distance = speed × time = 167 × 11.7833 = 1967.8167 km.\n</reasoning>\nFinal Answer: 1967.8167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 10, 11, 14, 16, 17] and B = [7, 10, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6, 8, 11, 14, 16, 17].\n</reasoning>\nFinal Answer: [5, 6, 8, 11, 14, 16, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 / 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/2) ÷ (9/11) = (3/2) × (11/9) = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×39)/1 = 1560.\n</reasoning>\nFinal Answer: 1560"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 13 = 197"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 8x = 184. Divide by 8: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 21 + 45 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×21=840 and 45×1=45, then add: 885.\n</reasoning>\nFinal Answer: 885"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 478 ÷ 480"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 478 by 480. 478 ÷ 480 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 + 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/3 + 6/18. Common denominator = 3. Result = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹501. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 501 × 18/100 = 90.18. Total = 501 + 90.18 = 591.18.\n</reasoning>\nFinal Answer: 591.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 705 + 43"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 705 and 43: 705 + 43 = 748.\n</reasoning>\nFinal Answer: 748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-27)x + (24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -27² - 4×3×24 = 441. √discriminant = 21. x = (-(-27) ± 21) / (2×3). Solutions: x = 1 or x = 8.\n</reasoning>\nFinal Answer: x = 1 or x = 8"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 124 ÷ 464"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 124 by 464. 124 ÷ 464 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 886 × -122"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 886 by -122: 886 × -122 = -108092.\n</reasoning>\nFinal Answer: -108092"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -41 - -483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -483 from -41: -41 - -483 = 442.\n</reasoning>\nFinal Answer: 442"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 + 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/7 + 10/3. Common denominator = 21. Result = 79/21.\n</reasoning>\nFinal Answer: 79/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -648 × 859"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -648 by 859: -648 × 859 = -556632.\n</reasoning>\nFinal Answer: -556632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 * 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/1) × (10/6) = (170/6) = 85/3 after simplification.\n</reasoning>\nFinal Answer: 85/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 22, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 22 + 28 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "79 is what percentage of 208?"
},
{
"role": "assistant",
"content": "<reasoning>\n(79/208) × 100 = 37.9808%.\n</reasoning>\nFinal Answer: 37.9808%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 138 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(138,44) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 * 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/15) × (6/15) = (120/225) = 8/15 after simplification.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 488 + 893"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 488 and 893: 488 + 893 = 1381.\n</reasoning>\nFinal Answer: 1381"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 580 + 611"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 580 and 611: 580 + 611 = 1191.\n</reasoning>\nFinal Answer: 1191"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 569 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 569 × (1 + 75/100) = 569 × 1.75 = 995.75.\n</reasoning>\nFinal Answer: 995.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:26 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/26, so B = A × (26/9) = 93 × 26/9 = 268.6667.\n</reasoning>\nFinal Answer: 268.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "143 is what percentage of 196?"
},
{
"role": "assistant",
"content": "<reasoning>\n(143/196) × 100 = 72.9592%.\n</reasoning>\nFinal Answer: 72.9592%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 360."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 360 by smallest primes repeatedly: 360 = 2 × 2 × 2 × 3 × 3 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 3 × 3 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -643 mod -5"
},
{
"role": "assistant",
"content": "<reasoning>\n-643 mod -5: -643 = -5 × 128 + -3, so remainder = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 94, 16, 4, 41, 47, 51, 59, 12, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 414/10 = 41.4.\n</reasoning>\nFinal Answer: 41.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 43 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+43) × 35 = 1592.5.\n</reasoning>\nFinal Answer: 1592.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 99, 20, 20, 60, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 20, 60, 69, 97, 99]. Middle value(s) → median = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 - 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/19 - 16/1. LCD = 19. Result = -284/19.\n</reasoning>\nFinal Answer: -284/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23867 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23867 × 17 × 10 / 100 = 40573.9.\n</reasoning>\nFinal Answer: 40573.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 12 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 56/60 = 12.9333 hours. Distance = speed × time = 53 × 12.9333 = 685.4667 km.\n</reasoning>\nFinal Answer: 685.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -123 × 666"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -123 by 666: -123 × 666 = -81918.\n</reasoning>\nFinal Answer: -81918"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 534?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 534 = (60/100) × 534 = 320.4.\n</reasoning>\nFinal Answer: 320.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 1 = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:18 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/18, so B = A × (18/12) = 23 × 18/12 = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 209 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 209 × (1 + 17/100) = 209 × 1.17 = 244.53.\n</reasoning>\nFinal Answer: 244.53"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 9, 13] and B = [3, 8, 10, 11, 12, 13, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 13].\n</reasoning>\nFinal Answer: [3, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -9 = -273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 12x = -264. Divide by 12: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:39 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/39, so B = A × (39/48) = 20 × 39/48 = 16.25.\n</reasoning>\nFinal Answer: 16.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:6 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/6, so B = A × (6/23) = 67 × 6/23 = 17.4783.\n</reasoning>\nFinal Answer: 17.4783"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -782 × 276"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -782 by 276: -782 × 276 = -215832.\n</reasoning>\nFinal Answer: -215832"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 32 * 25 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×25=800, then 27+800-41=786.\n</reasoning>\nFinal Answer: 786"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 85, 43, 25, 86, 22, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 22 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 24, 91, 14, 48, 99, 59, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 3 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 241 km apart. Their speeds are 44 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+63=107 km/h. Time = 241/107 = 2.2523 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 34 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n34 = 2 × 17, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -10 = 198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 13x = 208. Divide by 13: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 35 = 27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 8x = -8. Divide by 8: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 - 1/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/11 - 1/12. LCD = 132. Result = 97/132.\n</reasoning>\nFinal Answer: 97/132"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 14 + 33 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×14=112 and 33×2=66, then add: 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 + 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/17 + 8/12. Common denominator = 51. Result = 40/51.\n</reasoning>\nFinal Answer: 40/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 24 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+24) × 45 = 585.0.\n</reasoning>\nFinal Answer: 585.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 759 × 131"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 759 by 131: 759 × 131 = 99429.\n</reasoning>\nFinal Answer: 99429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 10 = 1450"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 30x = 1440. Divide by 30: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 43 km/h. How far does it travel in 6 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 31/60 = 6.5167 hours. Distance = speed × time = 43 × 6.5167 = 280.2167 km.\n</reasoning>\nFinal Answer: 280.2167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 4 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×35)/1 = 385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:31 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/31, so B = A × (31/43) = 6 × 31/43 = 4.3256.\n</reasoning>\nFinal Answer: 4.3256"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 658 - -871"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -871 from 658: 658 - -871 = 1529.\n</reasoning>\nFinal Answer: 1529"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 / 13/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/16) ÷ (13/6) = (7/16) × (6/13) = 21/104.\n</reasoning>\nFinal Answer: 21/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 93 = 6603.\n</reasoning>\nFinal Answer: 6603"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -355 mod -924"
},
{
"role": "assistant",
"content": "<reasoning>\n-355 mod -924: -355 = -924 × 0 + -355, so remainder = -355.\n</reasoning>\nFinal Answer: -355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 114 + -284"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 114 and -284: 114 + -284 = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 7) * (29 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+7)=20, (29-9)=20, then 20×20=400.\n</reasoning>\nFinal Answer: 400"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -40 = 640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 20x = 680. Divide by 20: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 59 × 238"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 59 by 238: 59 × 238 = 14042.\n</reasoning>\nFinal Answer: 14042"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "29 is what percentage of 405?"
},
{
"role": "assistant",
"content": "<reasoning>\n(29/405) × 100 = 7.1605%.\n</reasoning>\nFinal Answer: 7.1605%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 25 = 160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 15x = 135. Divide by 15: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (20/10) = (17/7) × (10/20) = 17/14.\n</reasoning>\nFinal Answer: 17/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 49 = 2793.\n</reasoning>\nFinal Answer: 2793"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 679 km apart. Their speeds are 78 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+76=154 km/h. Time = 679/154 = 4.4091 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 274 km apart. Their speeds are 116 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+116=232 km/h. Time = 274/232 = 1.181 hours.\n</reasoning>\nFinal Ans... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -18 = -375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 21x = -357. Divide by 21: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 1 * 38 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×38=38, then 20+38-2=56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 4 + 18 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×4=48 and 18×13=234, then add: 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 24 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 24 × 18 = 432.\n</reasoning>\nFinal Answer: 432"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+62) = 2×116 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -238 ÷ -699"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -238 by -699. -238 ÷ -699 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40544 at 11% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40544 × 11 × 2 / 100 = 8919.68.\n</reasoning>\nFinal Answer: 8919.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:11 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/11, so B = A × (11/2) = 74 × 11/2 = 407.0.\n</reasoning>\nFinal Answer: 407.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 31 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(31,11) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 295 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 295 × (1 - 40/100) = 295 × 0.6 = 177.0.\n</reasoning>\nFinal Answer: 177.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 21 = 505"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 22x = 484. Divide by 22: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:2 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/2, so B = A × (2/29) = 1 × 2/29 = 0.069.\n</reasoning>\nFinal Answer: 0.069"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-15)x + (12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×3×12 = 81. √discriminant = 9. x = (-(-15) ± 9) / (2×3). Solutions: x = 1 or x = 4.\n</reasoning>\nFinal Answer: x = 1 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 139 km/h. How far does it travel in 3 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 6/60 = 3.1000 hours. Distance = speed × time = 139 × 3.1000 = 430.9 km.\n</reasoning>\nFinal Answer: 430.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:37 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/37, so B = A × (37/6) = 100 × 37/6 = 616.6667.\n</reasoning>\nFinal Answer: 616.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 470 ÷ 743"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 470 by 743. 470 ÷ 743 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -485 + -618"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -485 and -618: -485 + -618 = -1103.\n</reasoning>\nFinal Answer: -1103"
}
] | medium | [
"arithmetic",
"computation"
] |
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