messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -990 + 46"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -990 and 46: -990 + 46 = -944.\n</reasoning>\nFinal Answer: -944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 2 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 2 × 51 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 417 × -94"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 417 by -94: 417 × -94 = -39198.\n</reasoning>\nFinal Answer: -39198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -22 = 264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 26x = 286. Divide by 26: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 47 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 47 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 11, 12, 13, 15] and B = [2, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [15].\n</reasoning>\nFinal Answer: [15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -618 × -769"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -618 by -769: -618 × -769 = 475242.\n</reasoning>\nFinal Answer: 475242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 50) * (15 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+50)=94, (15-2)=13, then 94×13=1222.\n</reasoning>\nFinal Answer: 1222"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -864 ÷ 388"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -864 by 388. -864 ÷ 388 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 166 × -626"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 166 by -626: 166 × -626 = -103916.\n</reasoning>\nFinal Answer: -103916"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 - 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/12 - 16/12. LCD = 6. Result = -5/6.\n</reasoning>\nFinal Answer: -5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 58 = 2030.\n</reasoning>\nFinal Answer: 2030"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 9, 10, 13, 14] and B = [3, 5, 7, 12, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 977 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 977 × (1 + 75/100) = 977 × 1.75 = 1709.75.\n</reasoning>\nFinal Answer: 1709.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:21 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/21, so B = A × (21/10) = 74 × 21/10 = 155.4.\n</reasoning>\nFinal Answer: 155.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -36 = -414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 21x = -378. Divide by 21: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 19 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 19 = 266 worker-days. New time = 266 / 4 = 66.5 days.\n</reasoning>\nFinal Answer: 66.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 + 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/15 + 3/17. Common denominator = 85. Result = 49/85.\n</reasoning>\nFinal Answer: 49/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 547 + 900"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 547 and 900: 547 + 900 = 1447.\n</reasoning>\nFinal Answer: 1447"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 36 + 199"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 36 and 199: 36 + 199 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 2 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 87, 32, 49, 63, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 49, 49, 63, 87, 98]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 91, 78, 5, 52, 53, 18, 42, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 478/9 = 53.1111.\n</reasoning>\nFinal Answer: 53.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -8 = 142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 3x = 150. Divide by 3: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 - 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/5 - 13/13. LCD = 5. Result = -2/5.\n</reasoning>\nFinal Answer: -2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 33 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 4+1089-30=1063.\n</reasoning>\nFinal Answer: 1063"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 38, 53, 68, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 15. Next term = 83 + 15 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "231 is what percentage of 366?"
},
{
"role": "assistant",
"content": "<reasoning>\n(231/366) × 100 = 63.1148%.\n</reasoning>\nFinal Answer: 63.1148%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:3 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/3, so B = A × (3/5) = 95 × 3/5 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 16, 11, 66, 80, 27, 65, 10, 28, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 16: 1, 11: 1, 66: 1, 80: 1, 27: 1, 65: 1, 10: 1, 28: 1, 47: 1}. Most frequent: [17, 16, 11, 66, 80, 27, 65, 10, 28, 47].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:39 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/39, so B = A × (39/22) = 4 × 39/22 = 7.0909.\n</reasoning>\nFinal Answer: 7.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 747 × -296"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 747 by -296: 747 × -296 = -221112.\n</reasoning>\nFinal Answer: -221112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 / 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/19) ÷ (2/14) = (17/19) × (14/2) = 119/19.\n</reasoning>\nFinal Answer: 119/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 0 = 1470"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 30x = 1470. Divide by 30: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 10 = -368"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 18x = -378. Divide by 18: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 73 = 4891.\n</reasoning>\nFinal Answer: 4891"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 2 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 3+4-2=5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 166 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(166,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "155 is what percentage of 155?"
},
{
"role": "assistant",
"content": "<reasoning>\n(155/155) × 100 = 100.0%.\n</reasoning>\nFinal Answer: 100.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -47 = -383"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 24x = -336. Divide by 24: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -13 = 132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 29x = 145. Divide by 29: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -957 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from -957: -957 - 33 = -990.\n</reasoning>\nFinal Answer: -990"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 794 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 794 × (1 - 10/100) = 794 × 0.9 = 714.6.\n</reasoning>\nFinal Answer: 714.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -25 + 252"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -25 and 252: -25 + 252 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 * 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/7) × (9/17) = (99/119) = 99/119 after simplification.\n</reasoning>\nFinal Answer: 99/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -916 + -452"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -916 and -452: -916 + -452 = -1368.\n</reasoning>\nFinal Answer: -1368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -40 = 284"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 27x = 324. Divide by 27: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 5% of 333?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 333 = (5/100) × 333 = 16.65.\n</reasoning>\nFinal Answer: 16.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 20) * (9 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+20)=56, (9-36)=-27, then 56×-27=-1512.\n</reasoning>\nFinal Answer: -1512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 218 + -581"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 218 and -581: 218 + -581 = -363.\n</reasoning>\nFinal Answer: -363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 22 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 22 = 198 worker-days. New time = 198 / 19 = 10.4211 days.\n</reasoning>\nFinal Answer: 10.4211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 24 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 5x = 110. Divide by 5: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 26 = 1586.\n</reasoning>\nFinal Answer: 1586"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 355 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 355 × (1 - 100/100) = 355 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 80 and 187."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(80,187) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 46, 87, 38, 60, 74, 21, 6, 11, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 6 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 1 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(1+14) = 2×15 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 87 = 8700.\n</reasoning>\nFinal Answer: 8700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 60 × -206"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 60 by -206: 60 × -206 = -12360.\n</reasoning>\nFinal Answer: -12360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 90 = 2430.\n</reasoning>\nFinal Answer: 2430"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 264 mod 403"
},
{
"role": "assistant",
"content": "<reasoning>\n264 mod 403: 264 = 403 × 0 + 264, so remainder = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -389 × 480"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -389 by 480: -389 × 480 = -186720.\n</reasoning>\nFinal Answer: -186720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is the probability of rolling a 1 on a fair 6-sided die?"
},
{
"role": "assistant",
"content": "<reasoning>\nThere are 6 equally likely outcomes. Only 1 outcome gives 1. P = 1/6.\n</reasoning>\nFinal Answer: 1/6 ≈ 0.1667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Ravi has 174 apples and buys 178 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 174 + 178 = 352.\n</reasoning>\nFinal Answer: 352"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18220 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18220 × 20 × 9 / 100 = 32796.0.\n</reasoning>\nFinal Answer: 32796.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 2, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (26-1)×2 = 13 + 50 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 565 - -187"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -187 from 565: 565 - -187 = 752.\n</reasoning>\nFinal Answer: 752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 325 × 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 325 by 9: 325 × 9 = 2925.\n</reasoning>\nFinal Answer: 2925"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 93 = 3720.\n</reasoning>\nFinal Answer: 3720"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 82, 11, 35, 8, 62, 41, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 11, 30, 35, 41, 62, 70, 82]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 5 and 140."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(5,140) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 143 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(143,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 18 + 49 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×18=882 and 49×28=1372, then add: 2254.\n</reasoning>\nFinal Answer: 2254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 25 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 9+625-38=596.\n</reasoning>\nFinal Answer: 596"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 183 km/h. How far does it travel in 8 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 6/60 = 8.1000 hours. Distance = speed × time = 183 × 8.1000 = 1482.3 km.\n</reasoning>\nFinal Answer: 1482.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 58 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(58,42) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -407 × 638"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -407 by 638: -407 × 638 = -259666.\n</reasoning>\nFinal Answer: -259666"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 12, 93, 42, 49, 99, 24, 8, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 8 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 41, 73, 68, 6, 25, 26, 20, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 352/9 = 39.1111.\n</reasoning>\nFinal Answer: 39.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 21 + 16 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×21=504 and 16×42=672, then add: 1176.\n</reasoning>\nFinal Answer: 1176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 174 km apart. Their speeds are 102 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+75=177 km/h. Time = 174/177 = 0.9831 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 11, 12, 14, 17, 18] and B = [1, 4, 16, 17], 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": "In an arithmetic progression with first term 46 and common difference 17, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (24-1)×17 = 46 + 391 = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 21 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(21+23) = 2×44 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 49, 88, 40, 76, 35, 95, 79, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 49: 1, 88: 1, 40: 1, 76: 1, 35: 1, 95: 1, 79: 1, 29: 1}. Most frequent: [37, 49, 88, 40, 76, 35, 95, 79, 29].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 10, 12, 19] and B = [4, 10, 13, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 9, 12, 13, 15, 18, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 771 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 771 × (1 + 5/100) = 771 × 1.05 = 809.55.\n</reasoning>\nFinal Answer: 809.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 36 * 7 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×7=252, then 36+252-33=255.\n</reasoning>\nFinal Answer: 255"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 100, 98, 17, 73, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 16 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 * 7/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/2) × (7/14) = (133/28) = 19/4 after simplification.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 37 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 46+1369-45=1370.\n</reasoning>\nFinal Answer: 1370"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 32 = -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 5x = -115. Divide by 5: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 70% of 97?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 97 = (70/100) × 97 = 67.9.\n</reasoning>\nFinal Answer: 67.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 907 mod 139"
},
{
"role": "assistant",
"content": "<reasoning>\n907 mod 139: 907 = 139 × 6 + 73, so remainder = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 548?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 548 = (17/100) × 548 = 93.16.\n</reasoning>\nFinal Answer: 93.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 - 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/4 - 13/7. LCD = 14. Result = -19/14.\n</reasoning>\nFinal Answer: -19/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -45 = 137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 13x = 182. Divide by 13: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 143 km apart. Their speeds are 105 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+69=174 km/h. Time = 143/174 = 0.8218 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 6 = 588.\n</reasoning>\nFinal Answer: 588"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -6 = 1154"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 29x = 1160. Divide by 29: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
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