messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [7, 8, 12, 17, 19] and B = [2, 5, 10, 11, 13, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 7, 8, 10, 11, 12, 13, 14, 17, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 9 ÷ -646"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 9 by -646. 9 ÷ -646 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-24 = 400. √discriminant = 20. x = (-(4) ± 20) / (2×4). Solutions: x = 2 or x = -3.\n</reasoning>\nFinal Answer: x = 2 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -5 = -185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 5x = -180. Divide by 5: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 18 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 18 = 306 worker-days. New time = 306 / 5 = 61.2 days.\n</reasoning>\nFinal Answer: 61.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -577 × 170"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -577 by 170: -577 × 170 = -98090.\n</reasoning>\nFinal Answer: -98090"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 29 = -751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 20x = -780. Divide by 20: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10723 at 16% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10723 × 16 × 10 / 100 = 17156.8.\n</reasoning>\nFinal Answer: 17156.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+7) = 2×31 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16045 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16045 × 5 × 4 / 100 = 3209.0.\n</reasoning>\nFinal Answer: 3209.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 - 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/11 - 2/18. LCD = 99. Result = 142/99.\n</reasoning>\nFinal Answer: 142/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 40 * 49 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×49=1960, then 39+1960-14=1985.\n</reasoning>\nFinal Answer: 1985"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 176 km apart. Their speeds are 60 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+58=118 km/h. Time = 176/118 = 1.4915 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 322 - 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 248 from 322: 322 - 248 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 59 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(59,27) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -260 mod -559"
},
{
"role": "assistant",
"content": "<reasoning>\n-260 mod -559: -260 = -559 × 0 + -260, so remainder = -260.\n</reasoning>\nFinal Answer: -260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 47, 35, 35, 25, 56, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 29, 35, 35, 47, 53, 56]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:49 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/49, so B = A × (49/12) = 42 × 49/12 = 171.5.\n</reasoning>\nFinal Answer: 171.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 11 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(11+11) = 2×22 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 887 ÷ -897"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 887 by -897. 887 ÷ -897 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 6 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 12+36-28=20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 16, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 16 + 25 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 59 apples and buys 103 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 59 + 103 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 3, 63, 51, 17, 22, 28, 13, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 365/9 = 40.5556.\n</reasoning>\nFinal Answer: 40.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 17 = 197"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 20x = 180. Divide by 20: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 13 + 42 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×13=234 and 42×4=168, then add: 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 3 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 3/4 = 0.75.\n</reasoning>\nFinal Answer: 0.75"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "An item costs ₹4556. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4556 × 18/100 = 820.08. Total = 4556 + 820.08 = 5376.08.\n</reasoning>\nFinal Answer: 5376.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37127 at 11% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37127 × 11 × 8 / 100 = 32671.76.\n</reasoning>\nFinal Answer: 32671.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 24 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 24 = 168 worker-days. New time = 168 / 17 = 9.8824 days.\n</reasoning>\nFinal Answer: 9.8824"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 76, 84, 78, 97, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 12 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:36 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/36, so B = A × (36/6) = 80 × 36/6 = 480.0.\n</reasoning>\nFinal Answer: 480.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 87, 65, 66, 59, 64, 69, 50, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 50, 59, 64, 65, 66, 69, 87, 87]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 20 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 20 = 120 worker-days. New time = 120 / 2 = 60.0 days.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 860 - -400"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -400 from 860: 860 - -400 = 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 4 + 26 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×4=104 and 26×4=104, then add: 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 47, 5, 20, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 47: 1, 5: 1, 20: 1, 11: 1}. Most frequent: [64, 47, 5, 20, 11].\n</reasoning>\nFinal Answer: [64, 47, 5, 20, 11]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 565 - 604"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 604 from 565: 565 - 604 = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -423 × 534"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -423 by 534: -423 × 534 = -225882.\n</reasoning>\nFinal Answer: -225882"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 38 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 27+1444-41=1430.\n</reasoning>\nFinal Answer: 1430"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 15 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n15 = 3 × 5, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 17, 36, 85, 6, 54, 74, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 6 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 4) * (42 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+4)=19, (42-10)=32, then 19×32=608.\n</reasoning>\nFinal Answer: 608"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -918 - 254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 254 from -918: -918 - 254 = -1172.\n</reasoning>\nFinal Answer: -1172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "155 is what percentage of 792?"
},
{
"role": "assistant",
"content": "<reasoning>\n(155/792) × 100 = 19.5707%.\n</reasoning>\nFinal Answer: 19.5707%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 66 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 66 × 39 = 2574.\n</reasoning>\nFinal Answer: 2574"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 8, 9, 12, 16, 17] and B = [1, 2, 5, 14, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 7, 8, 9, 12, 14, 17, 18].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 40% of 810?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 810 = (40/100) × 810 = 324.0.\n</reasoning>\nFinal Answer: 324.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 48 = -152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 5x = -200. Divide by 5: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 22) * (12 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+22)=45, (12-15)=-3, then 45×-3=-135.\n</reasoning>\nFinal Answer: -135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -50 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 8x = -40. Divide by 8: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 * 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/14) × (16/19) = (160/266) = 80/133 after simplification.\n</reasoning>\nFinal Answer: 80/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 30) * (11 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+30)=57, (11-38)=-27, then 57×-27=-1539.\n</reasoning>\nFinal Answer: -1539"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 45 + 25 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×45=90 and 25×5=125, then add: 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 * 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/19) × (17/14) = (323/266) = 17/14 after simplification.\n</reasoning>\nFinal Answer: 17/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 30 * 34 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×34=1020, then 48+1020-34=1034.\n</reasoning>\nFinal Answer: 1034"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 380 × -667"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 380 by -667: 380 × -667 = -253460.\n</reasoning>\nFinal Answer: -253460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -939 × -869"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -939 by -869: -939 × -869 = 815991.\n</reasoning>\nFinal Answer: 815991"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42877 at 12% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42877 × 12 × 1 / 100 = 5145.24.\n</reasoning>\nFinal Answer: 5145.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 25, 14, 92, 19, 79, 45, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 19, 25, 45, 58, 74, 79, 92]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 42 + 44 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×42=1470 and 44×12=528, then add: 1998.\n</reasoning>\nFinal Answer: 1998"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2563. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2563 × 12/100 = 307.56. Total = 2563 + 307.56 = 2870.56.\n</reasoning>\nFinal Answer: 2870.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 25% of 309?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 309 = (25/100) × 309 = 77.25.\n</reasoning>\nFinal Answer: 77.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 24, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 24 + 38 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 47 * 43 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×43=2021, then 17+2021-28=2010.\n</reasoning>\nFinal Answer: 2010"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 43 * 45 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×45=1935, then 42+1935-38=1939.\n</reasoning>\nFinal Answer: 1939"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:25 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/25, so B = A × (25/45) = 31 × 25/45 = 17.2222.\n</reasoning>\nFinal Answer: 17.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:41 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/41, so B = A × (41/26) = 61 × 41/26 = 96.1923.\n</reasoning>\nFinal Answer: 96.1923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 - 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/13 - 20/6. LCD = 3. Result = -7/3.\n</reasoning>\nFinal Answer: -7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 24, 9, 8, 3, 56, 19, 16, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 56 - 3 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 58 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(58+19) = 2×77 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 880 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 880 × (1 + 5/100) = 880 × 1.05 = 924.0.\n</reasoning>\nFinal Answer: 924.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 19 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(19+67) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 45, 46, 19, 75, 51, 7, 45, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 7 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -9 = -763"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 26x = -754. Divide by 26: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -367 ÷ 438"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -367 by 438. -367 ÷ 438 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 34 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 2+1156-22=1136.\n</reasoning>\nFinal Answer: 1136"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 6 * 44 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×44=264, then 24+264-2=286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 941 × -349"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 941 by -349: 941 × -349 = -328409.\n</reasoning>\nFinal Answer: -328409"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 68 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(68,38) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 14/11 / 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/11) ÷ (20/13) = (14/11) × (13/20) = 91/110.\n</reasoning>\nFinal Answer: 91/110"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -354 - -938"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -938 from -354: -354 - -938 = 584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -16 = -136"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 3x = -120. Divide by 3: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 10, 15, 16] and B = [1, 2, 4, 11, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 10, 11, 12, 15, 16].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+79) = 2×131 = 262.\n</reasoning>\nFinal Answer: 262"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 643 × 135"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 643 by 135: 643 × 135 = 86805.\n</reasoning>\nFinal Answer: 86805"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 1 * 22 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×22=22, then 37+22-46=13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 9, 10] and B = [3, 4, 6, 8, 10, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 9].\n</reasoning>\nFinal Answer: [7, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 3 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+3) × 38 = 988.0.\n</reasoning>\nFinal Answer: 988.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 877 - -767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -767 from 877: 877 - -767 = 1644.\n</reasoning>\nFinal Answer: 1644"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 355 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 355 × (1 - 80/100) = 355 × 0.19999999999999996 = 71.0.\n</reasoning>\nFinal Answer: 71.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 9 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+9) × 43 = 1225.5.\n</reasoning>\nFinal Answer: 1225.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 45 = -27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 4x = -72. Divide by 4: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 + 15/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/19 + 15/4. Common denominator = 76. Result = 337/76.\n</reasoning>\nFinal Answer: 337/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "413 is what percentage of 788?"
},
{
"role": "assistant",
"content": "<reasoning>\n(413/788) × 100 = 52.4112%.\n</reasoning>\nFinal Answer: 52.4112%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 * 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/5) × (11/12) = (198/60) = 33/10 after simplification.\n</reasoning>\nFinal Answer: 33/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 + 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/13 + 10/10. Common denominator = 13. Result = 16/13.\n</reasoning>\nFinal Answer: 16/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -16 = 560"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 18x = 576. Divide by 18: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 - 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/11 - 6/3. LCD = 11. Result = -12/11.\n</reasoning>\nFinal Answer: -12/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 + 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/17 + 20/14. Common denominator = 119. Result = 303/119.\n</reasoning>\nFinal Answer: 303/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
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