messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [62, 75, 26, 83, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 26, 62, 75, 83]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 30 = 184"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 11x = 154. Divide by 11: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 78, 57, 14, 21, 98, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 402/7 = 57.4286.\n</reasoning>\nFinal Answer: 57.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 216 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 216 × (1 - 30/100) = 216 × 0.7 = 151.2.\n</reasoning>\nFinal Answer: 151.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:5 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/5, so B = A × (5/16) = 81 × 5/16 = 25.3125.\n</reasoning>\nFinal Answer: 25.3125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 37 = 3034.\n</reasoning>\nFinal Answer: 3034"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 32 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 32 × 86 = 1376.0.\n</reasoning>\nFinal Answer: 1376.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 47 = 743"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 29x = 696. Divide by 29: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -883 ÷ 441"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -883 by 441. -883 ÷ 441 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 8, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (40-1)×8 = 37 + 312 = 349.\n</reasoning>\nFinal Answer: 349"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 / 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/17) ÷ (18/13) = (3/17) × (13/18) = 13/102.\n</reasoning>\nFinal Answer: 13/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 2, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (47-1)×2 = 18 + 92 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 694 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 694 × (1 - 10/100) = 694 × 0.9 = 624.6.\n</reasoning>\nFinal Answer: 624.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 126 and 158."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(126,158) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 126."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 126 by smallest primes repeatedly: 126 = 2 × 3 × 3 × 7.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 22 + 39 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×22=748 and 39×23=897, then add: 1645.\n</reasoning>\nFinal Answer: 1645"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 6 * 1 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×1=6, then 48+6-37=17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 50 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 44+2500-6=2538.\n</reasoning>\nFinal Answer: 2538"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 204 ÷ 27"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 204 by 27. 204 ÷ 27 = 7 (integer division).\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 145 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(145,23) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 37 = 1757.5.\n</reasoning>\nFinal Answer: 1757.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 66, 81, 78, 38, 79, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 38, 58, 66, 78, 79, 81]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:21 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/21, so B = A × (21/27) = 81 × 21/27 = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 12, 14, 17, 19] and B = [2, 5, 6, 9, 13, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 7, 8, 12, 14, 17, 19].\n</reasoning>\nFinal Answer: [1, 7, 8, 12, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 - 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/9 - 12/10. LCD = 45. Result = 31/45.\n</reasoning>\nFinal Answer: 31/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (0)x + (-9) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×1×-9 = 36. √discriminant = 6. x = (-(0) ± 6) / (2×1). Solutions: x = -3 or x = 3.\n</reasoning>\nFinal Answer: x = -3 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 711 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 711 × (1 + 70/100) = 711 × 1.7 = 1208.7.\n</reasoning>\nFinal Answer: 1208.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -46 = 104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 3x = 150. Divide by 3: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -109 + 668"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -109 and 668: -109 + 668 = 559.\n</reasoning>\nFinal Answer: 559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "628 is what percentage of 913?"
},
{
"role": "assistant",
"content": "<reasoning>\n(628/913) × 100 = 68.7842%.\n</reasoning>\nFinal Answer: 68.7842%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:6 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/6, so B = A × (6/31) = 78 × 6/31 = 15.0968.\n</reasoning>\nFinal Answer: 15.0968"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 673 - -975"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -975 from 673: 673 - -975 = 1648.\n</reasoning>\nFinal Answer: 1648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 + 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/5 + 19/20. Common denominator = 20. Result = 71/20.\n</reasoning>\nFinal Answer: 71/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×23)/1 = 782.\n</reasoning>\nFinal Answer: 782"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 7 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 1x = -14. Divide by 1: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:26 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/26, so B = A × (26/16) = 86 × 26/16 = 139.75.\n</reasoning>\nFinal Answer: 139.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 36 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+36) × 27 = 729.0.\n</reasoning>\nFinal Answer: 729.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 9, 11, 14, 17] and B = [4, 5, 7, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 5, 6, 7, 9, 11, 14, 17, 19].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+75) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 98 apples and buys 67 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 98 + 67 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 8, 10, 15, 16, 17] and B = [2, 4, 7, 11, 12, 14, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 8, 10, 16, 17].\n</reasoning>\nFinal Answer: [1, 8, 10, 16,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:6 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/6, so B = A × (6/47) = 51 × 6/47 = 6.5106.\n</reasoning>\nFinal Answer: 6.5106"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -208 + 739"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -208 and 739: -208 + 739 = 531.\n</reasoning>\nFinal Answer: 531"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 100 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 100 × 74 = 7400.\n</reasoning>\nFinal Answer: 7400"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 10 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 7+100-40=67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (9)x + (-84) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 9² - 4×3×-84 = 1089. √discriminant = 33. x = (-(9) ± 33) / (2×3). Solutions: x = 4 or x = -7.\n</reasoning>\nFinal Answer: x = 4 or x = -7"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 11] and B = [1, 5, 10, 11, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 7, 9, 10, 11, 15].\n</reasoning>\nFinal Answer: [1, 5, 7, 9, 10, 11, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -346 mod -749"
},
{
"role": "assistant",
"content": "<reasoning>\n-346 mod -749: -346 = -749 × 0 + -346, so remainder = -346.\n</reasoning>\nFinal Answer: -346"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 25, 90, 83, 39, 76, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 1 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 90% of 143?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 143 = (90/100) × 143 = 128.7.\n</reasoning>\nFinal Answer: 128.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 40 + 15 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×40=1600 and 15×27=405, then add: 2005.\n</reasoning>\nFinal Answer: 2005"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 7 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 7 = 133 worker-days. New time = 133 / 12 = 11.0833 days.\n</reasoning>\nFinal Answer: 11.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 - 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/13 - 3/17. LCD = 221. Result = 165/221.\n</reasoning>\nFinal Answer: 165/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "261 is what percentage of 350?"
},
{
"role": "assistant",
"content": "<reasoning>\n(261/350) × 100 = 74.5714%.\n</reasoning>\nFinal Answer: 74.5714%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-26)x + (72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -26² - 4×2×72 = 100. √discriminant = 10. x = (-(-26) ± 10) / (2×2). Solutions: x = 9 or x = 4.\n</reasoning>\nFinal Answer: x = 9 or x = 4"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 34 * 36 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×36=1224, then 17+1224-38=1203.\n</reasoning>\nFinal Answer: 1203"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 8 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 8 = 80 worker-days. New time = 80 / 16 = 5.0 days.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/8 * 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/8) × (20/3) = (240/24) = 10 after simplification.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 33 = 1067"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 22x = 1034. Divide by 22: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 455 km apart. Their speeds are 105 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+62=167 km/h. Time = 455/167 = 2.7246 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -550 + 556"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -550 and 556: -550 + 556 = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 90 and 63."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(90,63) = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 72, 57, 23, 85, 57, 25, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 23 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -409 mod 701"
},
{
"role": "assistant",
"content": "<reasoning>\n-409 mod 701: -409 = 701 × -1 + 292, so remainder = 292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [27, 28, 45, 44, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 45 - 27 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 + 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/20 + 4/2. Common denominator = 20. Result = 49/20.\n</reasoning>\nFinal Answer: 49/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 21, 71, 79, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 21: 1, 71: 1, 79: 1, 29: 1}. Most frequent: [50, 21, 71, 79, 29].\n</reasoning>\nFinal Answer: [50, 21, 71, 79, 29]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 37, 39, 41, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 2. Next term = 43 + 2 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -33 = -261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 19x = -228. Divide by 19: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×23)/1 = 1012.\n</reasoning>\nFinal Answer: 1012"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 16 apples and buys 165 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 16 + 165 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 108 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(108,3) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 10 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 10 × 75 = 375.0.\n</reasoning>\nFinal Answer: 375.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 43, 62, 81, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 19. Next term = 100 + 19 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+15) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 14 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 14 = 238 worker-days. New time = 238 / 20 = 11.9 days.\n</reasoning>\nFinal Answer: 11.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:12 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/12, so B = A × (12/42) = 93 × 12/42 = 26.5714.\n</reasoning>\nFinal Answer: 26.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 20% of 300?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 300 = (20/100) × 300 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 13, 14, 15, 17, 18] and B = [5, 7, 9, 11, 13, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 40 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+40) × 28 = 756.0.\n</reasoning>\nFinal Answer: 756.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 9, 25, 77, 87, 77, 38, 46, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 25, 38, 46, 77, 77, 87, 92]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 233 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 233 × (1 + 12/100) = 233 × 1.12 = 260.96.\n</reasoning>\nFinal Answer: 260.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 13] and B = [1, 2, 10, 11, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 827 + -836"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 827 and -836: 827 + -836 = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 223 × -645"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 223 by -645: 223 × -645 = -143835.\n</reasoning>\nFinal Answer: -143835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 568 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 568 × (1 + 3/100) = 568 × 1.03 = 585.04.\n</reasoning>\nFinal Answer: 585.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -543 - -477"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -477 from -543: -543 - -477 = -66.\n</reasoning>\nFinal Answer: -66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 34, 81, 73, 84, 98, 85, 63, 37, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 34: 1, 81: 1, 73: 1, 84: 1, 98: 1, 85: 1, 63: 1, 37: 1, 99: 1}. Most frequent: [58, 34, 81, 73, 84, 98, 85, 63, 37, 99].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 25) * (50 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+25)=72, (50-45)=5, then 72×5=360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 27 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 27 × 41 = 1107.\n</reasoning>\nFinal Answer: 1107"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -63 ÷ 933"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -63 by 933. -63 ÷ 933 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 784 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 784 × (1 - 17/100) = 784 × 0.83 = 650.72.\n</reasoning>\nFinal Answer: 650.72"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 15 apples and buys 124 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 15 + 124 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (60)x + (100) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 60² - 4×5×100 = 1600. √discriminant = 40. x = (-(60) ± 40) / (2×5). Solutions: x = -10 or x = -2.\n</reasoning>\nFinal Answer: x = -10 or x = -... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+28) = 2×65 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 42 ÷ 809"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 42 by 809. 42 ÷ 809 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -241 × -993"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -241 by -993: -241 × -993 = 239313.\n</reasoning>\nFinal Answer: 239313"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (15)x + (-270) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 15² - 4×5×-270 = 5625. √discriminant = 75. x = (-(15) ± 75) / (2×5). Solutions: x = 6 or x = -9.\n</reasoning>\nFinal Answer: x = 6 or x = -9"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 133 apples and buys 111 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 133 + 111 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 31 - 956"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 956 from 31: 31 - 956 = -925.\n</reasoning>\nFinal Answer: -925"
}
] | medium | [
"arithmetic",
"computation"
] |
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