messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 855 + 286"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 855 and 286: 855 + 286 = 1141.\n</reasoning>\nFinal Answer: 1141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 26) * (36 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+26)=34, (36-21)=15, then 34×15=510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [48, 14, 44, 58, 35, 81, 55, 85, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 14 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 17 * 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×2=34, then 26+34-47=13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 3 * 30 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×30=90, then 7+90-7=90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 30, 54, 43, 86, 34, 56, 94, 34, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 464/10 = 46.4.\n</reasoning>\nFinal Answer: 46.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -538 × 738"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -538 by 738: -538 × 738 = -397044.\n</reasoning>\nFinal Answer: -397044"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 3 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 3 × 84 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 48 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(48+85) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -44 = -492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 14x = -448. Divide by 14: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -615 mod 676"
},
{
"role": "assistant",
"content": "<reasoning>\n-615 mod 676: -615 = 676 × -1 + 61, so remainder = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 22 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 27+484-28=483.\n</reasoning>\nFinal Answer: 483"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 17, 81, 78, 46, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 17: 1, 81: 1, 78: 1, 46: 1, 82: 1}. Most frequent: [20, 17, 81, 78, 46, 82].\n</reasoning>\nFinal Answer: [20, 17, 81, 78, 46, 82]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 17 * 19 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×19=323, then 29+323-40=312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 73, 40, 46, 63, 92, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 448/7 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 161 ÷ 738"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 161 by 738. 161 ÷ 738 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 568 × 990"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 568 by 990: 568 × 990 = 562320.\n</reasoning>\nFinal Answer: 562320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 320."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 320 by smallest primes repeatedly: 320 = 2 × 2 × 2 × 2 × 2 × 2 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 2 × 2 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Decrease 93 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 93 × (1 - 65/100) = 93 × 0.35 = 32.55.\n</reasoning>\nFinal Answer: 32.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 - 3/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/2 - 3/1. LCD = 2. Result = -3/2.\n</reasoning>\nFinal Answer: -3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 548 km apart. Their speeds are 76 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+78=154 km/h. Time = 548/154 = 3.5584 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 11 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 11 = 110 worker-days. New time = 110 / 19 = 5.7895 days.\n</reasoning>\nFinal Answer: 5.7895"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 17, and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 17 + 18 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 7 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+7) × 48 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:50 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/50, so B = A × (50/29) = 31 × 50/29 = 53.4483.\n</reasoning>\nFinal Answer: 53.4483"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 31 = 1984.\n</reasoning>\nFinal Answer: 1984"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 * 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/1) × (9/13) = (126/13) = 126/13 after simplification.\n</reasoning>\nFinal Answer: 126/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 134 mod -68"
},
{
"role": "assistant",
"content": "<reasoning>\n134 mod -68: 134 = -68 × -2 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 89, 26, 82, 5, 87, 9, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 89: 1, 26: 1, 82: 1, 5: 1, 87: 1, 9: 1, 69: 1}. Most frequent: [28, 89, 26, 82, 5, 87, 9, 69].\n</reasoning>\nFinal Answer: [28, 89, 26, 8... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (7)x + (10) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 7² - 4×1×10 = 9. √discriminant = 3. x = (-(7) ± 3) / (2×1). Solutions: x = -5 or x = -2.\n</reasoning>\nFinal Answer: x = -5 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-50)x + (105) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -50² - 4×5×105 = 400. √discriminant = 20. x = (-(-50) ± 20) / (2×5). Solutions: x = 7 or x = 3.\n</reasoning>\nFinal Answer: x = 7 or x = 3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-300) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-300 = 3600. √discriminant = 60. x = (-(0) ± 60) / (2×3). Solutions: x = 10 or x = -10.\n</reasoning>\nFinal Answer: x = 10 or x = -10... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -518 × -500"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -518 by -500: -518 × -500 = 259000.\n</reasoning>\nFinal Answer: 259000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 98 + -524"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 98 and -524: 98 + -524 = -426.\n</reasoning>\nFinal Answer: -426"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:9 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/9, so B = A × (9/17) = 21 × 9/17 = 11.1176.\n</reasoning>\nFinal Answer: 11.1176"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 790 × -89"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 790 by -89: 790 × -89 = -70310.\n</reasoning>\nFinal Answer: -70310"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 6 + 21 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×6=276 and 21×5=105, then add: 381.\n</reasoning>\nFinal Answer: 381"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 29 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 29 = 580 worker-days. New time = 580 / 15 = 38.6667 days.\n</reasoning>\nFinal Answer: 38.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 969 - -618"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -618 from 969: 969 - -618 = 1587.\n</reasoning>\nFinal Answer: 1587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6482 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6482 × 17 × 3 / 100 = 3305.82.\n</reasoning>\nFinal Answer: 3305.82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 8 = -923"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 19x = -931. Divide by 19: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 6 + 34 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×6=234 and 34×15=510, then add: 744.\n</reasoning>\nFinal Answer: 744"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 * 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/15) × (18/12) = (288/180) = 8/5 after simplification.\n</reasoning>\nFinal Answer: 8/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 59 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(59+55) = 2×114 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -57 + -716"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -57 and -716: -57 + -716 = -773.\n</reasoning>\nFinal Answer: -773"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 81 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 81 × 29 = 2349.\n</reasoning>\nFinal Answer: 2349"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -386 × 400"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -386 by 400: -386 × 400 = -154400.\n</reasoning>\nFinal Answer: -154400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 11 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+11) × 9 = 130.5.\n</reasoning>\nFinal Answer: 130.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 / 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/13) ÷ (2/5) = (20/13) × (5/2) = 50/13.\n</reasoning>\nFinal Answer: 50/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 + 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/9 + 17/1. Common denominator = 1. Result = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 / 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/15) ÷ (13/19) = (6/15) × (19/13) = 38/65.\n</reasoning>\nFinal Answer: 38/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 3 = 489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 18x = 486. Divide by 18: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 28 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 44+784-34=794.\n</reasoning>\nFinal Answer: 794"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4735. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4735 × 5/100 = 236.75. Total = 4735 + 236.75 = 4971.75.\n</reasoning>\nFinal Answer: 4971.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 65 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 65 × 38 = 2470.\n</reasoning>\nFinal Answer: 2470"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 564 km apart. Their speeds are 42 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+48=90 km/h. Time = 564/90 = 6.2667 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (72)x + (324) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 72² - 4×4×324 = 0. √discriminant = 0. x = (-(72) ± 0) / (2×4). Solutions: x = -9 (double root).\n</reasoning>\nFinal Answer: x = -9 (double roo... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 17] and B = [1, 9, 13, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 68 km/h. How far does it travel in 2 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 32/60 = 2.5333 hours. Distance = speed × time = 68 × 2.5333 = 172.2667 km.\n</reasoning>\nFinal Answer: 172.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 48, 32, 49, 10, 69, 34, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 15, 23, 32, 34, 48, 49, 69]. Middle value(s) → median = 33.0.\n</reasoning>\nFinal Answer: 33.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 - 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/3 - 9/6. LCD = 6. Result = 7/6.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -17 = -209"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 24x = -192. Divide by 24: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-15)x + (-42) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×3×-42 = 729. √discriminant = 27. x = (-(-15) ± 27) / (2×3). Solutions: x = 7 or x = -2.\n</reasoning>\nFinal Answer: x = 7 or x = -2"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 23 + 50 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×23=575 and 50×7=350, then add: 925.\n</reasoning>\nFinal Answer: 925"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 / 19/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/8) ÷ (19/4) = (8/8) × (4/19) = 4/19.\n</reasoning>\nFinal Answer: 4/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16932 at 14% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16932 × 14 × 5 / 100 = 11852.4.\n</reasoning>\nFinal Answer: 11852.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 31, 34, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 31 + 34 + 39 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 + 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/6 + 6/3. Common denominator = 6. Result = 25/6.\n</reasoning>\nFinal Answer: 25/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+77) = 2×169 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -234 - 412"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 412 from -234: -234 - 412 = -646.\n</reasoning>\nFinal Answer: -646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -952 + 498"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -952 and 498: -952 + 498 = -454.\n</reasoning>\nFinal Answer: -454"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+27) = 2×106 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [12, 14, 16, 18, 19] and B = [2, 6, 8, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 6, 8, 12, 13, 14, 16, 18, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 12 + 19 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×12=168 and 19×27=513, then add: 681.\n</reasoning>\nFinal Answer: 681"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 11. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 11² = π × 121 ≈ 380.1327.\n</reasoning>\nFinal Answer: 380.1327"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "What is 45% of 482?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 482 = (45/100) × 482 = 216.9.\n</reasoning>\nFinal Answer: 216.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-24)x + (32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×4×32 = 64. √discriminant = 8. x = (-(-24) ± 8) / (2×4). Solutions: x = 4 or x = 2.\n</reasoning>\nFinal Answer: x = 4 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 25% of 79?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 79 = (25/100) × 79 = 19.75.\n</reasoning>\nFinal Answer: 19.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:41 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/41, so B = A × (41/38) = 93 × 41/38 = 100.3421.\n</reasoning>\nFinal Answer: 100.3421"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -721 - -324"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -324 from -721: -721 - -324 = -397.\n</reasoning>\nFinal Answer: -397"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 35 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 9x = 90. Divide by 9: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 37, 84, 17, 12, 50, 34, 76, 68, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 12 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 599 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 599 × (1 - 30/100) = 599 × 0.7 = 419.3.\n</reasoning>\nFinal Answer: 419.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4818. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4818 × 5/100 = 240.9. Total = 4818 + 240.9 = 5058.9.\n</reasoning>\nFinal Answer: 5058.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:40 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/40, so B = A × (40/7) = 31 × 40/7 = 177.1429.\n</reasoning>\nFinal Answer: 177.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 8, 9, 14, 17, 18] and B = [4, 5, 12, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 17, 18].\n</reasoning>\nFinal Answer: [4, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 18 + 23 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×18=630 and 23×9=207, then add: 837.\n</reasoning>\nFinal Answer: 837"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -509 + 264"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -509 and 264: -509 + 264 = -245.\n</reasoning>\nFinal Answer: -245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 23 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+23) × 47 = 587.5.\n</reasoning>\nFinal Answer: 587.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 90, 45, 2, 80, 94, 1, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 1 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "303 is what percentage of 427?"
},
{
"role": "assistant",
"content": "<reasoning>\n(303/427) × 100 = 70.9602%.\n</reasoning>\nFinal Answer: 70.9602%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 12 + 7 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×12=516 and 7×28=196, then add: 712.\n</reasoning>\nFinal Answer: 712"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 185 km/h. How far does it travel in 9 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 26/60 = 9.4333 hours. Distance = speed × time = 185 × 9.4333 = 1745.1667 km.\n</reasoning>\nFinal Answer: 1745.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 18 - 298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 298 from 18: 18 - 298 = -280.\n</reasoning>\nFinal Answer: -280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 13 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 13 = 39 worker-days. New time = 39 / 10 = 3.9 days.\n</reasoning>\nFinal Answer: 3.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 863 mod -958"
},
{
"role": "assistant",
"content": "<reasoning>\n863 mod -958: 863 = -958 × -1 + -95, so remainder = -95.\n</reasoning>\nFinal Answer: -95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 18, 37, 56, 75, 69, 92, 74, 13, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 543/10 = 54.3.\n</reasoning>\nFinal Answer: 54.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:46 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/46, so B = A × (46/8) = 57 × 46/8 = 327.75.\n</reasoning>\nFinal Answer: 327.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 1 + 44 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×1=21 and 44×29=1276, then add: 1297.\n</reasoning>\nFinal Answer: 1297"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 478 ÷ 221"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 478 by 221. 478 ÷ 221 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
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