messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16896 at 20% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16896 × 20 × 5 / 100 = 16896.0.\n</reasoning>\nFinal Answer: 16896.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -996 × 847"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -996 by 847: -996 × 847 = -843612.\n</reasoning>\nFinal Answer: -843612"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 142 ÷ 537"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 142 by 537. 142 ÷ 537 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 + 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/4 + 3/13. Common denominator = 52. Result = 51/52.\n</reasoning>\nFinal Answer: 51/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 31, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 31 + 40 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 82, 79, 98, 47, 7, 16, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 7 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -39 = 104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 13x = 143. Divide by 13: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 47, 100, 49, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 47: 1, 100: 1, 49: 1, 59: 1}. Most frequent: [37, 47, 100, 49, 59].\n</reasoning>\nFinal Answer: [37, 47, 100, 49, 59]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 9 = -231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 12x = -240. Divide by 12: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 88 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(88,35) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 21 + 33 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×21=525 and 33×15=495, then add: 1020.\n</reasoning>\nFinal Answer: 1020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -91 - -911"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -911 from -91: -91 - -911 = 820.\n</reasoning>\nFinal Answer: 820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -72 ÷ 117"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -72 by 117. -72 ÷ 117 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -32 = 178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 5x = 210. Divide by 5: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5610 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5610 × 3 × 4 / 100 = 673.2.\n</reasoning>\nFinal Answer: 673.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 8, 11, 15] and B = [7, 9, 12, 13, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 6, 7, 8, 9, 11, 12, 13, 15, 17].\n</reaso... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 2 = 177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 7x = 175. Divide by 7: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 11, 15, 17] and B = [6, 7, 13, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 6, 7, 11, 13, 17].\n</reasoning>\nFinal Answer: [1, 3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "42 is what percentage of 631?"
},
{
"role": "assistant",
"content": "<reasoning>\n(42/631) × 100 = 6.6561%.\n</reasoning>\nFinal Answer: 6.6561%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 26 * 25 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×25=650, then 6+650-2=654.\n</reasoning>\nFinal Answer: 654"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 701 mod 181"
},
{
"role": "assistant",
"content": "<reasoning>\n701 mod 181: 701 = 181 × 3 + 158, so remainder = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 55 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 55 × 42 = 2310.\n</reasoning>\nFinal Answer: 2310"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -231 × 128"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -231 by 128: -231 × 128 = -29568.\n</reasoning>\nFinal Answer: -29568"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 - 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/20 - 2/1. LCD = 4. Result = -7/4.\n</reasoning>\nFinal Answer: -7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 137?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 137 = (40/100) × 137 = 54.8.\n</reasoning>\nFinal Answer: 54.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 3 = -165"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 28x = -168. Divide by 28: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:25 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/25, so B = A × (25/30) = 76 × 25/30 = 63.3333.\n</reasoning>\nFinal Answer: 63.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 - 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/7 - 19/15. LCD = 105. Result = 92/105.\n</reasoning>\nFinal Answer: 92/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 11 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 8+121-17=112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 2, 47, 2, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 2, 2: 2, 38: 1}. Most frequent: [47, 2].\n</reasoning>\nFinal Answer: [47, 2]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29281 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29281 × 8 × 3 / 100 = 7027.44.\n</reasoning>\nFinal Answer: 7027.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 137."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 137 by smallest primes repeatedly: 137 = 137.\n</reasoning>\nFinal Answer: 137"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 45, 70, 76, 12, 29, 35, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 12 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 23 ÷ 11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 23 by 11. 23 ÷ 11 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 / 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/3) ÷ (17/8) = (11/3) × (8/17) = 88/51.\n</reasoning>\nFinal Answer: 88/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 33 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 24x = 48. Divide by 24: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 + 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/18 + 15/7. Common denominator = 126. Result = 277/126.\n</reasoning>\nFinal Answer: 277/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+91) = 2×186 = 372.\n</reasoning>\nFinal Answer: 372"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 6 = 96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 9x = 90. Divide by 9: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -32 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 17x = 102. Divide by 17: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 35 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 29+1225-12=1242.\n</reasoning>\nFinal Answer: 1242"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 1 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 15/60 = 1.2500 hours. Distance = speed × time = 182 × 1.2500 = 227.5 km.\n</reasoning>\nFinal Answer: 227.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 1 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(1+19) = 2×20 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 612 km apart. Their speeds are 88 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+102=190 km/h. Time = 612/190 = 3.2211 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 15 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 23+225-23=225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 73 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(73+15) = 2×88 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 30% of 983?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 983 = (30/100) × 983 = 294.9.\n</reasoning>\nFinal Answer: 294.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 89 = 4539.\n</reasoning>\nFinal Answer: 4539"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 39 * 31 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×31=1209, then 11+1209-2=1218.\n</reasoning>\nFinal Answer: 1218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 11, 14, 15, 16, 18, 19] and B = [3, 8, 10, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 14, 16].\n</reasoning>\nFinal Answer: [3, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 4 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -289 - -924"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -924 from -289: -289 - -924 = 635.\n</reasoning>\nFinal Answer: 635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -9 = 766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 25x = 775. Divide by 25: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 11, 13, 15, 18, 19] and B = [3, 6, 12, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 6, 7, 11, 12, 13, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 6,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 29 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 2x = -50. Divide by 2: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 11 = -505"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 12x = -516. Divide by 12: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 23 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 6+529-26=509.\n</reasoning>\nFinal Answer: 509"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 2 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 1x = 8. Divide by 1: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 848 × -846"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 848 by -846: 848 × -846 = -717408.\n</reasoning>\nFinal Answer: -717408"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 561 × 680"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 561 by 680: 561 × 680 = 381480.\n</reasoning>\nFinal Answer: 381480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:10 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/10, so B = A × (10/41) = 34 × 10/41 = 8.2927.\n</reasoning>\nFinal Answer: 8.2927"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 51, 59, 68, 97, 100, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 482/7 = 68.8571.\n</reasoning>\nFinal Answer: 68.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -4 = -94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 10x = -90. Divide by 10: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 23) * (13 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+23)=30, (13-33)=-20, then 30×-20=-600.\n</reasoning>\nFinal Answer: -600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 402 × 139"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 402 by 139: 402 × 139 = 55878.\n</reasoning>\nFinal Answer: 55878"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 24 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 24 = 120 worker-days. New time = 120 / 6 = 20.0 days.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 30 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 30 = 420 worker-days. New time = 420 / 16 = 26.25 days.\n</reasoning>\nFinal Answer: 26.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 508 km apart. Their speeds are 78 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+97=175 km/h. Time = 508/175 = 2.9029 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -24 = 426"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 25x = 450. Divide by 25: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹956. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 956 × 28/100 = 267.68. Total = 956 + 267.68 = 1223.68.\n</reasoning>\nFinal Answer: 1223.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 39) * (45 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+39)=79, (45-6)=39, then 79×39=3081.\n</reasoning>\nFinal Answer: 3081"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -129 ÷ -158"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -129 by -158. -129 ÷ -158 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 8, 9, 12, 13, 16, 18] and B = [5, 7, 11, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 7, 8, 9, 11, 12, 13, 16, 17, 18].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 7 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 7 × (1 - 65/100) = 7 × 0.35 = 2.45.\n</reasoning>\nFinal Answer: 2.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 36 = 634"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 13x = 598. Divide by 13: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "439 is what percentage of 831?"
},
{
"role": "assistant",
"content": "<reasoning>\n(439/831) × 100 = 52.8279%.\n</reasoning>\nFinal Answer: 52.8279%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 43 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 33+1849-5=1877.\n</reasoning>\nFinal Answer: 1877"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (15)x + (-108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 15² - 4×3×-108 = 1521. √discriminant = 39. x = (-(15) ± 39) / (2×3). Solutions: x = -9 or x = 4.\n</reasoning>\nFinal Answer: x = -9 or x = 4"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 46 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 11+2116-5=2122.\n</reasoning>\nFinal Answer: 2122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+87) = 2×162 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -11 = -781"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 22x = -770. Divide by 22: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:12 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/12, so B = A × (12/17) = 17 × 12/17 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 2 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 137 km/h. How far does it travel in 3 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 29/60 = 3.4833 hours. Distance = speed × time = 137 × 3.4833 = 477.2167 km.\n</reasoning>\nFinal Answer: 477.2167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -198 × -779"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -198 by -779: -198 × -779 = 154242.\n</reasoning>\nFinal Answer: 154242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -910 × 955"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -910 by 955: -910 × 955 = -869050.\n</reasoning>\nFinal Answer: -869050"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -133 × 276"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -133 by 276: -133 × 276 = -36708.\n</reasoning>\nFinal Answer: -36708"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 30 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 45 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+45) × 35 = 1452.5.\n</reasoning>\nFinal Answer: 1452.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 1 = 320"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 11x = 319. Divide by 11: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [93, 76, 39, 67, 51, 27, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 384/7 = 54.8571.\n</reasoning>\nFinal Answer: 54.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 43, 6, 82, 50, 26, 72, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 26, 42, 43, 50, 72, 82, 86]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -3 = -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 5x = -80. Divide by 5: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 382 km apart. Their speeds are 42 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+41=83 km/h. Time = 382/83 = 4.6024 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -302 + -400"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -302 and -400: -302 + -400 = -702.\n</reasoning>\nFinal Answer: -702"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 1, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (50-1)×1 = 41 + 49 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 41, 7, 42, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 41: 1, 7: 1, 42: 1, 81: 1}. Most frequent: [36, 41, 7, 42, 81].\n</reasoning>\nFinal Answer: [36, 41, 7, 42, 81]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 92, 28, 11, 44, 73, 75, 56, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 92: 1, 28: 1, 11: 1, 44: 1, 73: 1, 75: 1, 56: 1, 50: 1}. Most frequent: [48, 92, 28, 11, 44, 73, 75, 56, 50].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 512 - -227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -227 from 512: 512 - -227 = 739.\n</reasoning>\nFinal Answer: 739"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -190 ÷ -477"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -190 by -477. -190 ÷ -477 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
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