messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 1 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 35/60 = 1.5833 hours. Distance = speed × time = 108 × 1.5833 = 171.0 km.\n</reasoning>\nFinal Answer: 171.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/13) × (13/18) = (221/234) = 17/18 after simplification.\n</reasoning>\nFinal Answer: 17/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 21, 95, 6, 72, 58, 78, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 6 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 16 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+16) × 5 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 45 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 24+2025-33=2016.\n</reasoning>\nFinal Answer: 2016"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 21 = -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 8x = -312. Divide by 8: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 25 = -382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 219 ÷ -194"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 219 by -194. 219 ÷ -194 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 25 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 25 = 175 worker-days. New time = 175 / 6 = 29.1667 days.\n</reasoning>\nFinal Answer: 29.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 1 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(1+44) = 2×45 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "98 is what percentage of 350?"
},
{
"role": "assistant",
"content": "<reasoning>\n(98/350) × 100 = 28.0%.\n</reasoning>\nFinal Answer: 28.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹3881. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3881 × 12/100 = 465.72. Total = 3881 + 465.72 = 4346.72.\n</reasoning>\nFinal Answer: 4346.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "453 is what percentage of 642?"
},
{
"role": "assistant",
"content": "<reasoning>\n(453/642) × 100 = 70.5607%.\n</reasoning>\nFinal Answer: 70.5607%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 585 ÷ 563"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 585 by 563. 585 ÷ 563 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 34, 90, 50, 48, 38, 32, 67, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 491/9 = 54.5556.\n</reasoning>\nFinal Answer: 54.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 582 mod 952"
},
{
"role": "assistant",
"content": "<reasoning>\n582 mod 952: 582 = 952 × 0 + 582, so remainder = 582.\n</reasoning>\nFinal Answer: 582"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 96 = 2304.0.\n</reasoning>\nFinal Answer: 2304.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 + 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/14 + 16/8. Common denominator = 7. Result = 22/7.\n</reasoning>\nFinal Answer: 22/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 170 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 170 × (1 - 12/100) = 170 × 0.88 = 149.6.\n</reasoning>\nFinal Answer: 149.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:16 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/16, so B = A × (16/43) = 16 × 16/43 = 5.9535.\n</reasoning>\nFinal Answer: 5.9535"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -806 mod -563"
},
{
"role": "assistant",
"content": "<reasoning>\n-806 mod -563: -806 = -563 × 1 + -243, so remainder = -243.\n</reasoning>\nFinal Answer: -243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 18, 54, 162, 486]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 6 and ratio 3. Next term = 486 × 3 = 1458.\n</reasoning>\nFinal Answer: 1458"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 3) * (20 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+3)=44, (20-14)=6, then 44×6=264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:21 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/21, so B = A × (21/41) = 18 × 21/41 = 9.2195.\n</reasoning>\nFinal Answer: 9.2195"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 18] and B = [1, 7, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 6, 7, 12, 18].\n</reasoning>\nFinal Answer: [1, 4, 6, 7, 12, 18]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 10 + 7 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×10=250 and 7×47=329, then add: 579.\n</reasoning>\nFinal Answer: 579"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 46 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+46) × 22 = 649.0.\n</reasoning>\nFinal Answer: 649.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 62, 57, 33, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 62: 1, 57: 1, 33: 1, 37: 1}. Most frequent: [81, 62, 57, 33, 37].\n</reasoning>\nFinal Answer: [81, 62, 57, 33, 37]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-2)x + (-24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×2×-24 = 196. √discriminant = 14. x = (-(-2) ± 14) / (2×2). Solutions: x = 4 or x = -3.\n</reasoning>\nFinal Answer: x = 4 or x = -3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -409 × -150"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -409 by -150: -409 × -150 = 61350.\n</reasoning>\nFinal Answer: 61350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+41) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 254 mod 214"
},
{
"role": "assistant",
"content": "<reasoning>\n254 mod 214: 254 = 214 × 1 + 40, so remainder = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -810 ÷ 600"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -810 by 600. -810 ÷ 600 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 19 = -553"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 22x = -572. Divide by 22: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 226 × 444"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 226 by 444: 226 × 444 = 100344.\n</reasoning>\nFinal Answer: 100344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "402 is what percentage of 479?"
},
{
"role": "assistant",
"content": "<reasoning>\n(402/479) × 100 = 83.9248%.\n</reasoning>\nFinal Answer: 83.9248%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 + 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/17 + 9/1. Common denominator = 1. Result = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 932 km apart. Their speeds are 103 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+113=216 km/h. Time = 932/216 = 4.3148 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 81, 99, 22, 74, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 81: 1, 99: 1, 22: 1, 74: 1, 28: 1}. Most frequent: [85, 81, 99, 22, 74, 28].\n</reasoning>\nFinal Answer: [85, 81, 99, 22, 74, 28]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 142 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 72 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 57, 99, 97, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 41, 57, 97, 99]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26537 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26537 × 17 × 10 / 100 = 45112.9.\n</reasoning>\nFinal Answer: 45112.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:39 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/39, so B = A × (39/12) = 54 × 39/12 = 175.5.\n</reasoning>\nFinal Answer: 175.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "248 is what percentage of 275?"
},
{
"role": "assistant",
"content": "<reasoning>\n(248/275) × 100 = 90.1818%.\n</reasoning>\nFinal Answer: 90.1818%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [32, 54, 24, 10, 47, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 197/6 = 32.8333.\n</reasoning>\nFinal Answer: 32.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹4366. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4366 × 12/100 = 523.92. Total = 4366 + 523.92 = 4889.92.\n</reasoning>\nFinal Answer: 4889.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 13, 14, 17] and B = [1, 4, 9, 12, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 8, 9, 12, 13, 14, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 4, 8, 9, 12,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37728 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37728 × 14 × 6 / 100 = 31691.52.\n</reasoning>\nFinal Answer: 31691.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 12, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (35-1)×12 = 33 + 408 = 441.\n</reasoning>\nFinal Answer: 441"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -20 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 23x = 115. Divide by 23: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 33 + 22 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×33=891 and 22×18=396, then add: 1287.\n</reasoning>\nFinal Answer: 1287"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 94 = 4700.0.\n</reasoning>\nFinal Answer: 4700.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 999 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 999 × (1 - 50/100) = 999 × 0.5 = 499.5.\n</reasoning>\nFinal Answer: 499.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 49 = 346"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 9x = 297. Divide by 9: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 619 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 619 × (1 - 65/100) = 619 × 0.35 = 216.65.\n</reasoning>\nFinal Answer: 216.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 38 + 3 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×38=342 and 3×2=6, then add: 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 38."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 38: factors are [1, 2, 19, 38].\n</reasoning>\nFinal Answer: [1, 2, 19, 38]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 - 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/19 - 14/15. LCD = 285. Result = -11/285.\n</reasoning>\nFinal Answer: -11/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 351 km apart. Their speeds are 58 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+97=155 km/h. Time = 351/155 = 2.2645 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:29 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/29, so B = A × (29/33) = 4 × 29/33 = 3.5152.\n</reasoning>\nFinal Answer: 3.5152"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 776 km apart. Their speeds are 114 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+69=183 km/h. Time = 776/183 = 4.2404 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 947 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 947 × (1 - 70/100) = 947 × 0.30000000000000004 = 284.1.\n</reasoning>\nFinal Answer: 284.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 30, 41, 87, 27, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 30: 1, 41: 1, 87: 1, 27: 1, 44: 1}. Most frequent: [98, 30, 41, 87, 27, 44].\n</reasoning>\nFinal Answer: [98, 30, 41, 87, 27, 44]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 21, 31, 82, 51, 92, 36, 77, 25, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 16 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -49 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 7x = -63. Divide by 7: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 96 km/h. How far does it travel in 12 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 49/60 = 12.8167 hours. Distance = speed × time = 96 × 12.8167 = 1230.4 km.\n</reasoning>\nFinal Answer: 1230.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 25% of 169?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 169 = (25/100) × 169 = 42.25.\n</reasoning>\nFinal Answer: 42.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 4 = -44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 4x = -48. Divide by 4: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 71, 53, 58, 73, 1, 75, 66, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 1, 35, 53, 58, 66, 71, 73, 75]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 47 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 37+2209-21=2225.\n</reasoning>\nFinal Answer: 2225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -19 = 25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 4x = 44. Divide by 4: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 / 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/9) ÷ (3/16) = (4/9) × (16/3) = 64/27.\n</reasoning>\nFinal Answer: 64/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -26 = 364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 15x = 390. Divide by 15: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 32, 50, 68, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 18. Next term = 86 + 18 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 88, 33, 30, 18, 10, 57, 85, 73, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 88: 1, 33: 1, 30: 1, 18: 1, 10: 1, 57: 1, 85: 1, 73: 1, 27: 1}. Most frequent: [80, 88, 33, 30, 18, 10, 57, 85, 73, 27].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 22 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 17+484-23=478.\n</reasoning>\nFinal Answer: 478"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 + 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/19 + 2/14. Common denominator = 133. Result = 145/133.\n</reasoning>\nFinal Answer: 145/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 * 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/13) × (18/14) = (252/182) = 18/13 after simplification.\n</reasoning>\nFinal Answer: 18/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 43 + 27 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×43=989 and 27×8=216, then add: 1205.\n</reasoning>\nFinal Answer: 1205"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 66 = 4026.\n</reasoning>\nFinal Answer: 4026"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 25% of 312?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 312 = (25/100) × 312 = 78.0.\n</reasoning>\nFinal Answer: 78.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -14 × -294"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -14 by -294: -14 × -294 = 4116.\n</reasoning>\nFinal Answer: 4116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 19) * (2 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+19)=21, (2-2)=0, then 21×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 497 km apart. Their speeds are 97 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+107=204 km/h. Time = 497/204 = 2.4363 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "34 is what percentage of 224?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/224) × 100 = 15.1786%.\n</reasoning>\nFinal Answer: 15.1786%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 5 + 48 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×5=110 and 48×5=240, then add: 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 27 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+27) × 4 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 77 = 4543.\n</reasoning>\nFinal Answer: 4543"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 10% of 287?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 287 = (10/100) × 287 = 28.7.\n</reasoning>\nFinal Answer: 28.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 + 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/9 + 18/7. Common denominator = 63. Result = 253/63.\n</reasoning>\nFinal Answer: 253/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×36)/1 = 1116.\n</reasoning>\nFinal Answer: 1116"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 164 and 134."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(164,134) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "26 is what percentage of 113?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/113) × 100 = 23.0088%.\n</reasoning>\nFinal Answer: 23.0088%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 36) * (45 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+36)=85, (45-45)=0, then 85×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -564 + 586"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -564 and 586: -564 + 586 = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [40, 92, 38, 73, 77, 83, 89, 63, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [38, 40, 62, 63, 73, 77, 83, 89, 92]. Middle value(s) → median = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -584 - 705"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 705 from -584: -584 - 705 = -1289.\n</reasoning>\nFinal Answer: -1289"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 2 * 21 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×21=42, then 15+42-28=29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -18 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 6x = -6. Divide by 6: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -4 = 316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 8x = 320. Divide by 8: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
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