messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 816 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 816 × (1 + 7/100) = 816 × 1.07 = 873.12.\n</reasoning>\nFinal Answer: 873.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 1 * 47 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×47=47, then 36+47-11=72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 7 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 53/60 = 7.8833 hours. Distance = speed × time = 124 × 7.8833 = 977.5333 km.\n</reasoning>\nFinal Answer: 977.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:11 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/11, so B = A × (11/41) = 85 × 11/41 = 22.8049.\n</reasoning>\nFinal Answer: 22.8049"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 42 = -947"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 23x = -989. Divide by 23: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -38 ÷ -392"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -38 by -392. -38 ÷ -392 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 55 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 55 × (1 + 10/100) = 55 × 1.1 = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -36 = -1024"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 26x = -988. Divide by 26: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 73, 9, 96, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 12, 73, 96, 97]. Middle value(s) → median = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -135 - 410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 410 from -135: -135 - 410 = -545.\n</reasoning>\nFinal Answer: -545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 96 = 4704.0.\n</reasoning>\nFinal Answer: 4704.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 89 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 89 × (1 - 75/100) = 89 × 0.25 = 22.25.\n</reasoning>\nFinal Answer: 22.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:41 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/41, so B = A × (41/9) = 37 × 41/9 = 168.5556.\n</reasoning>\nFinal Answer: 168.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 * 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/6) × (2/2) = (38/12) = 19/6 after simplification.\n</reasoning>\nFinal Answer: 19/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 23 = 519"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 16x = 496. Divide by 16: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 128 and 108."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(128,108) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 177 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 177 × (1 - 60/100) = 177 × 0.4 = 70.8.\n</reasoning>\nFinal Answer: 70.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -46 = 1056"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 29x = 1102. Divide by 29: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 84 km/h. How far does it travel in 9 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 27/60 = 9.4500 hours. Distance = speed × time = 84 × 9.4500 = 793.8 km.\n</reasoning>\nFinal Answer: 793.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -397 - 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 102 from -397: -397 - 102 = -499.\n</reasoning>\nFinal Answer: -499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (18)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×2×40 = 4. √discriminant = 2. x = (-(18) ± 2) / (2×2). Solutions: x = -4 or x = -5.\n</reasoning>\nFinal Answer: x = -4 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 22 = -146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 21x = -168. Divide by 21: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 38 = -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 16x = -768. Divide by 16: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 10 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 1+100-30=71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 34 = -357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 23x = -391. Divide by 23: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 / 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/14) ÷ (1/18) = (2/14) × (18/1) = 18/7.\n</reasoning>\nFinal Answer: 18/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 12] and B = [8, 9, 10], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 40, 50, 18, 82, 83, 14, 60, 92, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 536/10 = 53.6.\n</reasoning>\nFinal Answer: 53.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:29 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/29, so B = A × (29/3) = 91 × 29/3 = 879.6667.\n</reasoning>\nFinal Answer: 879.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 25% of 683?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 683 = (25/100) × 683 = 170.75.\n</reasoning>\nFinal Answer: 170.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -42 = -272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 23x = -230. Divide by 23: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 15 = 540.0.\n</reasoning>\nFinal Answer: 540.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 94, 30, 18, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 94: 1, 30: 1, 18: 1, 85: 1}. Most frequent: [80, 94, 30, 18, 85].\n</reasoning>\nFinal Answer: [80, 94, 30, 18, 85]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 28) * (21 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+28)=61, (21-27)=-6, then 61×-6=-366.\n</reasoning>\nFinal Answer: -366"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 7 apples and buys 154 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 7 + 154 = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 5, 80, 33, 86, 58, 54, 100, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 5: 1, 80: 1, 33: 1, 86: 1, 58: 1, 54: 1, 100: 1, 20: 1}. Most frequent: [64, 5, 80, 33, 86, 58, 54, 100, 20].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:41 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/41, so B = A × (41/3) = 53 × 41/3 = 724.3333.\n</reasoning>\nFinal Answer: 724.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 39 apples and buys 136 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 39 + 136 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 583 km apart. Their speeds are 115 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+118=233 km/h. Time = 583/233 = 2.5021 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -39 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 3x = 132. Divide by 3: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 39 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 49+1521-41=1529.\n</reasoning>\nFinal Answer: 1529"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -15 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 12x = -36. Divide by 12: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 474 - 612"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 612 from 474: 474 - 612 = -138.\n</reasoning>\nFinal Answer: -138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 - 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/11 - 3/19. LCD = 209. Result = 157/209.\n</reasoning>\nFinal Answer: 157/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:40 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/40, so B = A × (40/42) = 24 × 40/42 = 22.8571.\n</reasoning>\nFinal Answer: 22.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 90% of 635?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 635 = (90/100) × 635 = 571.5.\n</reasoning>\nFinal Answer: 571.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 - 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/1 - 19/11. LCD = 11. Result = 25/11.\n</reasoning>\nFinal Answer: 25/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 1/19. Common denominator = 247. Result = 32/247.\n</reasoning>\nFinal Answer: 32/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 9, 10, 12, 13, 15, 18] and B = [2, 4, 7, 8, 12, 15, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 9, 10, 13].\n</reasoning>\nFinal Answer: [1, 6, 9, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 36, 58, 17, 71, 97, 94, 70, 46, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 17 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 350 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 350 × (1 - 90/100) = 350 × 0.09999999999999998 = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 50) * (8 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+50)=82, (8-33)=-25, then 82×-25=-2050.\n</reasoning>\nFinal Answer: -2050"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹104. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 104 × 28/100 = 29.12. Total = 104 + 29.12 = 133.12.\n</reasoning>\nFinal Answer: 133.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 / 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/6) ÷ (20/7) = (19/6) × (7/20) = 133/120.\n</reasoning>\nFinal Answer: 133/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 168 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(168,45) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 72 = 6264.\n</reasoning>\nFinal Answer: 6264"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 24, and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 24 + 24 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22105 at 5% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22105 × 5 × 2 / 100 = 2210.5.\n</reasoning>\nFinal Answer: 2210.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 6 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 20/60 = 6.3333 hours. Distance = speed × time = 66 × 6.3333 = 418.0 km.\n</reasoning>\nFinal Answer: 418.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 728 km apart. Their speeds are 77 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+95=172 km/h. Time = 728/172 = 4.2326 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -45 = -1263"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 29x = -1218. Divide by 29: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 7% of 886?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 886 = (7/100) × 886 = 62.02.\n</reasoning>\nFinal Answer: 62.02"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -858 + 379"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -858 and 379: -858 + 379 = -479.\n</reasoning>\nFinal Answer: -479"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 287 - 329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 329 from 287: 287 - 329 = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -17 = -416"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 21x = -399. Divide by 21: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 100 apples and buys 85 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 100 + 85 = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 10, 6, 33, 37, 5, 74, 93, 66, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 5 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 17 = 816.\n</reasoning>\nFinal Answer: 816"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1550. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1550 × 28/100 = 434.0. Total = 1550 + 434.0 = 1984.0.\n</reasoning>\nFinal Answer: 1984.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 321 × 870"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 321 by 870: 321 × 870 = 279270.\n</reasoning>\nFinal Answer: 279270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -8 × 747"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -8 by 747: -8 × 747 = -5976.\n</reasoning>\nFinal Answer: -5976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 13, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (48-1)×13 = 44 + 611 = 655.\n</reasoning>\nFinal Answer: 655"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 604 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 604 × (1 - 30/100) = 604 × 0.7 = 422.8.\n</reasoning>\nFinal Answer: 422.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/16 - 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/16 - 4/1. LCD = 16. Result = -45/16.\n</reasoning>\nFinal Answer: -45/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:43 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/43, so B = A × (43/13) = 70 × 43/13 = 231.5385.\n</reasoning>\nFinal Answer: 231.5385"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 / 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/19) ÷ (10/10) = (15/19) × (10/10) = 15/19.\n</reasoning>\nFinal Answer: 15/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 11, 13] and B = [3, 8, 10, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 8, 10, 11, 13, 15, 19].\n</reasoning>\nFinal Answer: [3, 8, 10, 11, 13, 15, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 20 = -328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 29x = -348. Divide by 29: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 24 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 18x = 54. Divide by 18: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 22 and 193."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(22,193) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "6 is what percentage of 78?"
},
{
"role": "assistant",
"content": "<reasoning>\n(6/78) × 100 = 7.6923%.\n</reasoning>\nFinal Answer: 7.6923%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 358."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 358 by smallest primes repeatedly: 358 = 2 × 179.\n</reasoning>\nFinal Answer: 2 × 179"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 23, 98, 45, 68, 49, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 396/7 = 56.5714.\n</reasoning>\nFinal Answer: 56.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 45, 99, 77, 24, 55, 78, 64, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 561 ÷ 968"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 561 by 968. 561 ÷ 968 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 228 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 228 × (1 - 100/100) = 228 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 9, 80, 59, 56, 100, 39, 69, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 9 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 13 * 32 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×32=416, then 41+416-3=454.\n</reasoning>\nFinal Answer: 454"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 46 + 20 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×46=920 and 20×43=860, then add: 1780.\n</reasoning>\nFinal Answer: 1780"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 12, 13, 18, 19] and B = [1, 7, 8, 9, 10, 11, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 19].\n</reasoning>\nFina... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 30 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 16x = -224. Divide by 16: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 927 mod 943"
},
{
"role": "assistant",
"content": "<reasoning>\n927 mod 943: 927 = 943 × 0 + 927, so remainder = 927.\n</reasoning>\nFinal Answer: 927"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 - 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/6 - 1/20. LCD = 60. Result = 37/60.\n</reasoning>\nFinal Answer: 37/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 15 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+15) × 29 = 420.5.\n</reasoning>\nFinal Answer: 420.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 13, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (10-1)×13 = 23 + 117 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 40 * 6 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×6=240, then 49+240-47=242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 680 × -740"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 680 by -740: 680 × -740 = -503200.\n</reasoning>\nFinal Answer: -503200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 50 = 950.\n</reasoning>\nFinal Answer: 950"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 40 + 40 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×40=40 and 40×33=1320, then add: 1360.\n</reasoning>\nFinal Answer: 1360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 13 * 39 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×39=507, then 33+507-15=525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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