messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 966 + 724"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 966 and 724: 966 + 724 = 1690.\n</reasoning>\nFinal Answer: 1690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 82 = 4182.\n</reasoning>\nFinal Answer: 4182"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 11, 13, 14, 16] and B = [1, 2, 8, 11, 12, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11, 16].\n</reasoning>\nFinal Answer: [11, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -44 = -782"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 18x = -738. Divide by 18: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 29 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+29) × 39 = 1150.5.\n</reasoning>\nFinal Answer: 1150.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:18 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/18, so B = A × (18/50) = 90 × 18/50 = 32.4.\n</reasoning>\nFinal Answer: 32.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2212. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2212 × 5/100 = 110.6. Total = 2212 + 110.6 = 2322.6.\n</reasoning>\nFinal Answer: 2322.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 12, 14, 15, 16, 18, 19] and B = [4, 5, 7, 10, 12, 13, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 7, 8, 13, 14, 15, 16, 17,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 3% of 889?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 889 = (3/100) × 889 = 26.67.\n</reasoning>\nFinal Answer: 26.67"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 47, 63, 79, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 16. Next term = 95 + 16 = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:20 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/20, so B = A × (20/34) = 94 × 20/34 = 55.2941.\n</reasoning>\nFinal Answer: 55.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 - 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/12 - 7/18. LCD = 36. Result = 31/36.\n</reasoning>\nFinal Answer: 31/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 857 km apart. Their speeds are 98 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+87=185 km/h. Time = 857/185 = 4.6324 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 7, 8, 12, 19] and B = [2, 8, 12, 14, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 5, 7].\n</reasoning>\nFinal Answer: [3, 5, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 100, 24, 40, 1, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 24, 40, 73, 78, 100]. Middle value(s) → median = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -14 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 23x = 92. Divide by 23: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -356 mod -6"
},
{
"role": "assistant",
"content": "<reasoning>\n-356 mod -6: -356 = -6 × 59 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -38 = 762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 25x = 800. Divide by 25: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 21, 95, 60, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 21 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 14 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 19+196-11=204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 75% of 693?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 693 = (75/100) × 693 = 519.75.\n</reasoning>\nFinal Answer: 519.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 + 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/1 + 13/14. Common denominator = 14. Result = 69/14.\n</reasoning>\nFinal Answer: 69/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 12) * (27 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+12)=16, (27-32)=-5, then 16×-5=-80.\n</reasoning>\nFinal Answer: -80"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 2 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 2 × 18 = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 + 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/15 + 18/1. Common denominator = 15. Result = 286/15.\n</reasoning>\nFinal Answer: 286/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+48) = 2×132 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+27) = 2×77 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 660 + 820"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 660 and 820: 660 + 820 = 1480.\n</reasoning>\nFinal Answer: 1480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 22 = 1496.\n</reasoning>\nFinal Answer: 1496"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 / 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/17) ÷ (14/17) = (1/17) × (17/14) = 1/14.\n</reasoning>\nFinal Answer: 1/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 7 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 11+49-1=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -25 = -1185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 29x = -1160. Divide by 29: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 16 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+16) × 19 = 361.0.\n</reasoning>\nFinal Answer: 361.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 72, 37, 95, 78, 62, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 445/7 = 63.5714.\n</reasoning>\nFinal Answer: 63.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 7, 11, 12, 17, 19] and B = [3, 9, 13, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 5, 7, 9, 11, 12, 13, 17].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 50% of 449?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 449 = (50/100) × 449 = 224.5.\n</reasoning>\nFinal Answer: 224.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -854 mod 764"
},
{
"role": "assistant",
"content": "<reasoning>\n-854 mod 764: -854 = 764 × -2 + 674, so remainder = 674.\n</reasoning>\nFinal Answer: 674"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 659 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 659 × (1 - 15/100) = 659 × 0.85 = 560.15.\n</reasoning>\nFinal Answer: 560.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 777 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 777 × (1 - 35/100) = 777 × 0.65 = 505.05.\n</reasoning>\nFinal Answer: 505.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39644 at 12% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39644 × 12 × 1 / 100 = 4757.28.\n</reasoning>\nFinal Answer: 4757.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:46 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/46, so B = A × (46/36) = 3 × 46/36 = 3.8333.\n</reasoning>\nFinal Answer: 3.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -5 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 6x = 114. Divide by 6: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -47 = -424"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 13x = -377. Divide by 13: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 56, 35, 6, 13, 98, 79, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 6, 13, 23, 35, 56, 79, 98]. Middle value(s) → median = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 10) * (28 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+10)=58, (28-21)=7, then 58×7=406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:47 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/47, so B = A × (47/46) = 8 × 47/46 = 8.1739.\n</reasoning>\nFinal Answer: 8.1739"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -2 = 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 16x = 224. Divide by 16: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -42 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 10x = 70. Divide by 10: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 189."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 189 by smallest primes repeatedly: 189 = 3 × 3 × 3 × 7.\n</reasoning>\nFinal Answer: 3 × 3 × 3 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 354 + -574"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 354 and -574: 354 + -574 = -220.\n</reasoning>\nFinal Answer: -220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 9, 11, 13, 14, 16] and B = [1, 2, 11, 12, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 6, 9, 12, 13, 16, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -49 = 1274"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 27x = 1323. Divide by 27: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [1, 100, 63, 25, 31, 6, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {1: 1, 100: 1, 63: 1, 25: 1, 31: 1, 6: 1, 50: 1}. Most frequent: [1, 100, 63, 25, 31, 6, 50].\n</reasoning>\nFinal Answer: [1, 100, 63, 25, 31, 6, 50... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 24 ÷ 289"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 24 by 289. 24 ÷ 289 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:27 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/27, so B = A × (27/36) = 70 × 27/36 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 10, 13, 18] and B = [5, 7, 9, 11, 13, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -40 mod 297"
},
{
"role": "assistant",
"content": "<reasoning>\n-40 mod 297: -40 = 297 × -1 + 257, so remainder = 257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 43 = -100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 13x = -143. Divide by 13: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-36)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -36² - 4×4×80 = 16. √discriminant = 4. x = (-(-36) ± 4) / (2×4). Solutions: x = 5 or x = 4.\n</reasoning>\nFinal Answer: x = 5 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 21 + 45 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×21=546 and 45×36=1620, then add: 2166.\n</reasoning>\nFinal Answer: 2166"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×14)/1 = 462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 263."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 263 by smallest primes repeatedly: 263 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 9 = 792.\n</reasoning>\nFinal Answer: 792"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 / 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/14) ÷ (15/14) = (9/14) × (14/15) = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 54, 100, 18, 22, 21, 57, 85, 64, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 21, 22, 54, 57, 64, 74, 85, 85, 100]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -749 - 923"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 923 from -749: -749 - 923 = -1672.\n</reasoning>\nFinal Answer: -1672"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 69 = 621.\n</reasoning>\nFinal Answer: 621"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 75% of 240?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 240 = (75/100) × 240 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -568 × 773"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -568 by 773: -568 × 773 = -439064.\n</reasoning>\nFinal Answer: -439064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 * 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/13) × (13/7) = (78/91) = 6/7 after simplification.\n</reasoning>\nFinal Answer: 6/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -10 = -745"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 15x = -735. Divide by 15: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -355 - -522"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -522 from -355: -355 - -522 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 6, 12, 44, 1, 21, 59, 66, 45, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 66 - 1 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 * 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/17) × (15/18) = (240/306) = 40/51 after simplification.\n</reasoning>\nFinal Answer: 40/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 28 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 28 = 280 worker-days. New time = 280 / 12 = 23.3333 days.\n</reasoning>\nFinal Answer: 23.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 38 = 500"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 21x = 462. Divide by 21: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 14 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 14 × 33 = 231.0.\n</reasoning>\nFinal Answer: 231.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 82, 97, 60, 19, 98, 85, 48, 16, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 19, 48, 60, 61, 75, 82, 85, 97, 98]. Middle value(s) → median = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 55 km/h. How far does it travel in 12 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 51/60 = 12.8500 hours. Distance = speed × time = 55 × 12.8500 = 706.75 km.\n</reasoning>\nFinal Answer: 706.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 110 and 60."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(110,60) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 46 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 22+2116-1=2137.\n</reasoning>\nFinal Answer: 2137"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16862 at 15% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16862 × 15 × 6 / 100 = 15175.8.\n</reasoning>\nFinal Answer: 15175.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 46 = -391"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 19x = -437. Divide by 19: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:41 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/41, so B = A × (41/17) = 31 × 41/17 = 74.7647.\n</reasoning>\nFinal Answer: 74.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 5, 37, 61, 9, 46, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 9, 37, 46, 61, 70, 78]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "143 is what percentage of 457?"
},
{
"role": "assistant",
"content": "<reasoning>\n(143/457) × 100 = 31.291%.\n</reasoning>\nFinal Answer: 31.291%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 + 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/10 + 3/20. Common denominator = 20. Result = 7/4.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×8)/1 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -108 + -463"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -108 and -463: -108 + -463 = -571.\n</reasoning>\nFinal Answer: -571"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 629 km apart. Their speeds are 80 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+92=172 km/h. Time = 629/172 = 3.657 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 749 km apart. Their speeds are 59 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+57=116 km/h. Time = 749/116 = 6.4569 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 34 + 17 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×34=1020 and 17×25=425, then add: 1445.\n</reasoning>\nFinal Answer: 1445"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 16, 21, 26, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 5. Next term = 31 + 5 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 26 = 2132.\n</reasoning>\nFinal Answer: 2132"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 547 mod 793"
},
{
"role": "assistant",
"content": "<reasoning>\n547 mod 793: 547 = 793 × 0 + 547, so remainder = 547.\n</reasoning>\nFinal Answer: 547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:4 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/4, so B = A × (4/39) = 91 × 4/39 = 9.3333.\n</reasoning>\nFinal Answer: 9.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 58, 93, 3, 16, 50, 62, 100, 99, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 3 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 161 apples and buys 41 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 161 + 41 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 94 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 94 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 20 * 24 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×24=480, then 18+480-22=476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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