messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 766 - 355"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 355 from 766: 766 - 355 = 411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 * 5/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/7) × (5/14) = (80/98) = 40/49 after simplification.\n</reasoning>\nFinal Answer: 40/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×34)/1 = 1054.\n</reasoning>\nFinal Answer: 1054"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 182 - 869"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 869 from 182: 182 - 869 = -687.\n</reasoning>\nFinal Answer: -687"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 93 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(93+56) = 2×149 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 12 = -1113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 25x = -1125. Divide by 25: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 22, 55, 60, 26, 36, 9, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 255/8 = 31.875.\n</reasoning>\nFinal Answer: 31.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 28 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 28 = 140 worker-days. New time = 140 / 5 = 28.0 days.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 14 * 41 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×41=574, then 18+574-17=575.\n</reasoning>\nFinal Answer: 575"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 11 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 25/60 = 11.4167 hours. Distance = speed × time = 65 × 11.4167 = 742.0833 km.\n</reasoning>\nFinal Answer: 742.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 24 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 15x = 45. Divide by 15: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 88, 19, 91, 21, 34, 54, 24, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 2, 88: 1, 19: 1, 91: 1, 21: 1, 34: 1, 54: 1, 24: 1}. Most frequent: 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 10, 12] and B = [1, 2, 3, 7, 12, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 7, 9, 10, 17].\n</reasoning>\nFinal Answer: [2, 3, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 / 7/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/18) ÷ (7/14) = (10/18) × (14/7) = 10/9.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -13 = -146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 19x = -133. Divide by 19: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 * 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/17) × (11/9) = (110/153) = 110/153 after simplification.\n</reasoning>\nFinal Answer: 110/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 39 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 1+1521-24=1498.\n</reasoning>\nFinal Answer: 1498"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:9 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/9, so B = A × (9/47) = 85 × 9/47 = 16.2766.\n</reasoning>\nFinal Answer: 16.2766"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 * 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/18) × (12/15) = (204/270) = 34/45 after simplification.\n</reasoning>\nFinal Answer: 34/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 14, 11, 19, 53, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 234/6 = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 484 + 325"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 484 and 325: 484 + 325 = 809.\n</reasoning>\nFinal Answer: 809"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 545 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 545 × (1 - 75/100) = 545 × 0.25 = 136.25.\n</reasoning>\nFinal Answer: 136.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 6^3"
},
{
"role": "assistant",
"content": "<reasoning>\n6^3 = 6 × 6 × 6 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 36 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 42+1296-15=1323.\n</reasoning>\nFinal Answer: 1323"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 33) * (29 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+33)=83, (29-46)=-17, then 83×-17=-1411.\n</reasoning>\nFinal Answer: -1411"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -43 = 122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 15x = 165. Divide by 15: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 240 + -390"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 240 and -390: 240 + -390 = -150.\n</reasoning>\nFinal Answer: -150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 100 apples and buys 47 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 100 + 47 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 118 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 118 × (1 + 45/100) = 118 × 1.45 = 171.1.\n</reasoning>\nFinal Answer: 171.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 35 * 15 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×15=525, then 29+525-24=530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -32 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 10x = -20. Divide by 10: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/8 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/8 + 4/13. Common denominator = 26. Result = 73/26.\n</reasoning>\nFinal Answer: 73/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 132 and 99."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(132,99) = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 7, 11, 14] and B = [3, 8, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3].\n</reasoning>\nFinal Answer: [3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 30 = -295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 25x = -325. Divide by 25: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 185 mod 686"
},
{
"role": "assistant",
"content": "<reasoning>\n185 mod 686: 185 = 686 × 0 + 185, so remainder = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 330 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 330 × (1 - 65/100) = 330 × 0.35 = 115.5.\n</reasoning>\nFinal Answer: 115.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 9, 13, 14, 16] and B = [4, 10, 13, 14, 15, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 6, 9, 10, 15, 16, 18, 19].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "283 is what percentage of 652?"
},
{
"role": "assistant",
"content": "<reasoning>\n(283/652) × 100 = 43.4049%.\n</reasoning>\nFinal Answer: 43.4049%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 13 apples and buys 85 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 13 + 85 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 8 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 35/60 = 8.5833 hours. Distance = speed × time = 73 × 8.5833 = 626.5833 km.\n</reasoning>\nFinal Answer: 626.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -23 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 7x = 35. Divide by 7: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 17, 27, 37, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 10. Next term = 47 + 10 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 67, 65, 20, 35, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 27, 35, 45, 65, 67]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -497 + 613"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -497 and 613: -497 + 613 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 233 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 233 × (1 + 100/100) = 233 × 2.0 = 466.0.\n</reasoning>\nFinal Answer: 466.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 9 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 9/14 = 0.6429.\n</reasoning>\nFinal Answer: 0.6429"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 46 and 69."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(46,69) = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -582 + -950"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -582 and -950: -582 + -950 = -1532.\n</reasoning>\nFinal Answer: -1532"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 10, 8, 58, 56, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 10, 23, 30, 56, 58]. Middle value(s) → median = 26.5.\n</reasoning>\nFinal Answer: 26.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -715 ÷ -406"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -715 by -406. -715 ÷ -406 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 12 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 12 = 120 worker-days. New time = 120 / 19 = 6.3158 days.\n</reasoning>\nFinal Answer: 6.3158"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/10 / 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/10) ÷ (12/18) = (12/10) × (18/12) = 9/5.\n</reasoning>\nFinal Answer: 9/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 + 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/12 + 12/13. Common denominator = 26. Result = 63/26.\n</reasoning>\nFinal Answer: 63/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 - 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/18 - 5/1. LCD = 18. Result = -85/18.\n</reasoning>\nFinal Answer: -85/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 - 9/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/18 - 9/12. LCD = 36. Result = 7/36.\n</reasoning>\nFinal Answer: 7/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 48, 66, 84, 102]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 18. Next term = 102 + 18 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 98, 84, 28, 3, 64, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 416/7 = 59.4286.\n</reasoning>\nFinal Answer: 59.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 163 km apart. Their speeds are 52 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+93=145 km/h. Time = 163/145 = 1.1241 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 40) * (16 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+40)=67, (16-8)=8, then 67×8=536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 36, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 36 + 39 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 16, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 16 + 22 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 390."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 390 by smallest primes repeatedly: 390 = 2 × 3 × 5 × 13.\n</reasoning>\nFinal Answer: 2 × 3 × 5 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 - 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/9 - 11/1. LCD = 1. Result = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 374 × -895"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 374 by -895: 374 × -895 = -334730.\n</reasoning>\nFinal Answer: -334730"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 40 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 9+1600-30=1579.\n</reasoning>\nFinal Answer: 1579"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 24 * 26 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×26=624, then 38+624-9=653.\n</reasoning>\nFinal Answer: 653"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 13 = 846"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 17x = 833. Divide by 17: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 78, 97, 76, 38, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 78: 1, 97: 1, 76: 1, 38: 1, 39: 1}. Most frequent: [30, 78, 97, 76, 38, 39].\n</reasoning>\nFinal Answer: [30, 78, 97, 76, 38, 39]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -337 mod -743"
},
{
"role": "assistant",
"content": "<reasoning>\n-337 mod -743: -337 = -743 × 0 + -337, so remainder = -337.\n</reasoning>\nFinal Answer: -337"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 41 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 18x = 18. Divide by 18: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 151 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 151 × (1 - 90/100) = 151 × 0.09999999999999998 = 15.1.\n</reasoning>\nFinal Answer: 15.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 32 + 3 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×32=448 and 3×15=45, then add: 493.\n</reasoning>\nFinal Answer: 493"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:36 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/36, so B = A × (36/25) = 53 × 36/25 = 76.32.\n</reasoning>\nFinal Answer: 76.32"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 28, 68, 77, 71, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 28: 1, 68: 1, 77: 1, 71: 1, 3: 1}. Most frequent: [5, 28, 68, 77, 71, 3].\n</reasoning>\nFinal Answer: [5, 28, 68, 77, 71, 3]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 3/16 + 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/16 + 10/2. Common denominator = 16. Result = 83/16.\n</reasoning>\nFinal Answer: 83/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 100% of 847?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 847 = (100/100) × 847 = 847.0.\n</reasoning>\nFinal Answer: 847.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 2 = -154"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 13x = -156. Divide by 13: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 476 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 476 × (1 + 12/100) = 476 × 1.12 = 533.12.\n</reasoning>\nFinal Answer: 533.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 3 = 153.\n</reasoning>\nFinal Answer: 153"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 11, 13] and B = [2, 8, 9, 11, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 13].\n</reasoning>\nFinal Answer: [4, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 10, 11, 19] and B = [9, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 12, 14, 15, 16, 18] and B = [1, 4, 6, 8, 12, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 6, 7, 8, 12, 14, 15, 16, 18].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 21 = -663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 19x = -684. Divide by 19: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 90, 82, 87, 18, 82, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 18 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 13 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+13) × 28 = 616.0.\n</reasoning>\nFinal Answer: 616.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 13) * (46 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+13)=45, (46-49)=-3, then 45×-3=-135.\n</reasoning>\nFinal Answer: -135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 37 = 741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 22x = 704. Divide by 22: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -337 mod -688"
},
{
"role": "assistant",
"content": "<reasoning>\n-337 mod -688: -337 = -688 × 0 + -337, so remainder = -337.\n</reasoning>\nFinal Answer: -337"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 101 and 115."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(101,115) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×44)/1 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 313 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 313 × (1 + 25/100) = 313 × 1.25 = 391.25.\n</reasoning>\nFinal Answer: 391.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 19 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 2+361-49=314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 15, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (39-1)×15 = 13 + 570 = 583.\n</reasoning>\nFinal Answer: 583"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 30 + 18 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×30=960 and 18×17=306, then add: 1266.\n</reasoning>\nFinal Answer: 1266"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 19 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 6+361-11=356.\n</reasoning>\nFinal Answer: 356"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 6, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (35-1)×6 = 3 + 204 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 131 km/h. How far does it travel in 3 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 40/60 = 3.6667 hours. Distance = speed × time = 131 × 3.6667 = 480.3333 km.\n</reasoning>\nFinal Answer: 480.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 642 - -841"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -841 from 642: 642 - -841 = 1483.\n</reasoning>\nFinal Answer: 1483"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 114 - -354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -354 from 114: 114 - -354 = 468.\n</reasoning>\nFinal Answer: 468"
}
] | medium | [
"arithmetic",
"computation"
] |
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