messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Is 187 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n187 = 11 × 17, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 87 = 5046.\n</reasoning>\nFinal Answer: 5046"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 18, and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 18 + 19 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 / 7/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/2) ÷ (7/14) = (10/2) × (14/7) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 + 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/5 + 19/6. Common denominator = 30. Result = 119/30.\n</reasoning>\nFinal Answer: 119/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 12 = -173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 5x = -185. Divide by 5: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:48 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/48, so B = A × (48/47) = 25 × 48/47 = 25.5319.\n</reasoning>\nFinal Answer: 25.5319"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 951 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 951 × (1 - 80/100) = 951 × 0.19999999999999996 = 190.2.\n</reasoning>\nFinal Answer: 190.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -676 ÷ -521"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -676 by -521. -676 ÷ -521 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 58 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 6 * 22 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×22=132, then 46+132-35=143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 9, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (48-1)×9 = 13 + 423 = 436.\n</reasoning>\nFinal Answer: 436"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 971 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 971 × (1 - 40/100) = 971 × 0.6 = 582.6.\n</reasoning>\nFinal Answer: 582.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 4, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (23-1)×4 = 12 + 88 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 40 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 3+1600-15=1588.\n</reasoning>\nFinal Answer: 1588"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 22, 38, 54, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 16. Next term = 70 + 16 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -343 - -987"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -987 from -343: -343 - -987 = 644.\n</reasoning>\nFinal Answer: 644"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 79, 16, 49, 50, 62, 98, 81, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 519/9 = 57.6667.\n</reasoning>\nFinal Answer: 57.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:25 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/25, so B = A × (25/2) = 100 × 25/2 = 1250.0.\n</reasoning>\nFinal Answer: 1250.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 710 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 710 × (1 - 65/100) = 710 × 0.35 = 248.5.\n</reasoning>\nFinal Answer: 248.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 36, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 36 + 39 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 27 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 27 = 108 worker-days. New time = 108 / 11 = 9.8182 days.\n</reasoning>\nFinal Answer: 9.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:45 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/45, so B = A × (45/6) = 5 × 45/6 = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 7 + 15 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×7=147 and 15×49=735, then add: 882.\n</reasoning>\nFinal Answer: 882"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -356 + -629"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -356 and -629: -356 + -629 = -985.\n</reasoning>\nFinal Answer: -985"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -641 mod -506"
},
{
"role": "assistant",
"content": "<reasoning>\n-641 mod -506: -641 = -506 × 1 + -135, so remainder = -135.\n</reasoning>\nFinal Answer: -135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 20 + 47 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×20=960 and 47×35=1645, then add: 2605.\n</reasoning>\nFinal Answer: 2605"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2456. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2456 × 5/100 = 122.8. Total = 2456 + 122.8 = 2578.8.\n</reasoning>\nFinal Answer: 2578.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 71, 8, 48, 64, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 8 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 11 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 11/60 = 11.1833 hours. Distance = speed × time = 182 × 11.1833 = 2035.3667 km.\n</reasoning>\nFinal Answer: 2035.3667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 - 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/11 - 14/2. LCD = 11. Result = -60/11.\n</reasoning>\nFinal Answer: -60/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 6, 88, 41, 76, 13, 16, 89, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 13, 16, 19, 41, 76, 88, 89, 98]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 27) * (2 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+27)=46, (2-41)=-39, then 46×-39=-1794.\n</reasoning>\nFinal Answer: -1794"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 91, 35, 41, 54, 34, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 34 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 47 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 13+2209-11=2211.\n</reasoning>\nFinal Answer: 2211"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 10, 11, 12, 13, 17] and B = [1, 3, 5, 6, 9, 10, 12, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 6, 9, 10, 11, 12, 13, 17, 19].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 24 = 204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 30x = 180. Divide by 30: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "2 is what percentage of 240?"
},
{
"role": "assistant",
"content": "<reasoning>\n(2/240) × 100 = 0.8333%.\n</reasoning>\nFinal Answer: 0.8333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 93 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 93 + 97 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 5 = -248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 11x = -253. Divide by 11: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 66 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 66 × 17 = 561.0.\n</reasoning>\nFinal Answer: 561.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 40 and 82."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(40,82) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (8)x + (-42) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×2×-42 = 400. √discriminant = 20. x = (-(8) ± 20) / (2×2). Solutions: x = 3 or x = -7.\n</reasoning>\nFinal Answer: x = 3 or x = -7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 656 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 656 × (1 - 15/100) = 656 × 0.85 = 557.6.\n</reasoning>\nFinal Answer: 557.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 11] and B = [5, 9, 13, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 9, 11, 13, 18].\n</reasoning>\nFinal Answer: [3, 9, 11, 13, 18]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 86, 97, 77, 54, 20, 12, 98, 44, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 86: 1, 97: 1, 77: 1, 54: 1, 20: 1, 12: 1, 98: 1, 44: 1, 26: 1}. Most frequent: [50, 86, 97, 77, 54, 20, 12, 98, 44, 26].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×31)/1 = 1147.\n</reasoning>\nFinal Answer: 1147"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 169 km apart. Their speeds are 68 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+50=118 km/h. Time = 169/118 = 1.4322 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 11, 16] and B = [2, 3, 6, 7, 12, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 16].\n</reasoning>\nFinal Answer: [2, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 352 km apart. Their speeds are 41 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+44=85 km/h. Time = 352/85 = 4.1412 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 86 and 199."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(86,199) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 + 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/1 + 12/20. Common denominator = 5. Result = 38/5.\n</reasoning>\nFinal Answer: 38/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 405 + -513"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 405 and -513: 405 + -513 = -108.\n</reasoning>\nFinal Answer: -108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 90% of 167?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 167 = (90/100) × 167 = 150.3.\n</reasoning>\nFinal Answer: 150.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4261. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4261 × 18/100 = 766.98. Total = 4261 + 766.98 = 5027.98.\n</reasoning>\nFinal Answer: 5027.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "107 is what percentage of 339?"
},
{
"role": "assistant",
"content": "<reasoning>\n(107/339) × 100 = 31.5634%.\n</reasoning>\nFinal Answer: 31.5634%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -30 = 1370"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 28x = 1400. Divide by 28: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 436 + -112"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 436 and -112: 436 + -112 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 + 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/19 + 12/10. Common denominator = 95. Result = 204/95.\n</reasoning>\nFinal Answer: 204/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "131 is what percentage of 448?"
},
{
"role": "assistant",
"content": "<reasoning>\n(131/448) × 100 = 29.2411%.\n</reasoning>\nFinal Answer: 29.2411%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 + 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/17 + 11/5. Common denominator = 85. Result = 222/85.\n</reasoning>\nFinal Answer: 222/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 473 km apart. Their speeds are 56 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+52=108 km/h. Time = 473/108 = 4.3796 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:2 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/2, so B = A × (2/49) = 1 × 2/49 = 0.0408.\n</reasoning>\nFinal Answer: 0.0408"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 914 + -453"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 914 and -453: 914 + -453 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 10 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 10 = 90 worker-days. New time = 90 / 15 = 6.0 days.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 9 = 315.0.\n</reasoning>\nFinal Answer: 315.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:17 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/17, so B = A × (17/6) = 59 × 17/6 = 167.1667.\n</reasoning>\nFinal Answer: 167.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 673 + -807"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 673 and -807: 673 + -807 = -134.\n</reasoning>\nFinal Answer: -134"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 526 × -787"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 526 by -787: 526 × -787 = -413962.\n</reasoning>\nFinal Answer: -413962"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 11 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 18/60 = 11.3000 hours. Distance = speed × time = 150 × 11.3000 = 1695.0 km.\n</reasoning>\nFinal Answer: 1695.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22960 at 7% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22960 × 7 × 6 / 100 = 9643.2.\n</reasoning>\nFinal Answer: 9643.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 43 km/h. How far does it travel in 7 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 32/60 = 7.5333 hours. Distance = speed × time = 43 × 7.5333 = 323.9333 km.\n</reasoning>\nFinal Answer: 323.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 764 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 764 × (1 + 17/100) = 764 × 1.17 = 893.88.\n</reasoning>\nFinal Answer: 893.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 249 ÷ -958"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 249 by -958. 249 ÷ -958 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 50 apples and buys 179 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 50 + 179 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -41 = -129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 2x = -88. Divide by 2: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 - 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/17 - 7/6. LCD = 102. Result = -35/102.\n</reasoning>\nFinal Answer: -35/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 16 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 18+256-8=266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 34, 70, 63, 78, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [34, 43, 63, 69, 70, 78]. Middle value(s) → median = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "338 is what percentage of 618?"
},
{
"role": "assistant",
"content": "<reasoning>\n(338/618) × 100 = 54.6926%.\n</reasoning>\nFinal Answer: 54.6926%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 44 = 919"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 25x = 875. Divide by 25: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [12, 14, 19] and B = [2, 5, 9], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 14, 19].\n</reasoning>\nFinal Answer: [12, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 20 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 20 = 220 worker-days. New time = 220 / 18 = 12.2222 days.\n</reasoning>\nFinal Answer: 12.2222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 6 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 6 = 48 worker-days. New time = 48 / 20 = 2.4 days.\n</reasoning>\nFinal Answer: 2.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 40 = 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 1x = 50. Divide by 1: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:27 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/27, so B = A × (27/44) = 15 × 27/44 = 9.2045.\n</reasoning>\nFinal Answer: 9.2045"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:35 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/35, so B = A × (35/45) = 60 × 35/45 = 46.6667.\n</reasoning>\nFinal Answer: 46.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 12, 3, 19, 91, 83, 6, 41, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 6, 12, 19, 20, 34, 41, 83, 91]. Middle value(s) → median = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 17% of 647?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 647 = (17/100) × 647 = 109.99.\n</reasoning>\nFinal Answer: 109.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -38 = -479"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 9x = -441. Divide by 9: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -3 = -153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 3x = -150. Divide by 3: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×41)/1 = 1189.\n</reasoning>\nFinal Answer: 1189"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 23, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 23 + 38 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 9, 10, 17, 18] and B = [4, 8, 12, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 8, 9, 10, 12, 14, 17, 18].\n</reasoning>\nFinal Answer: [3, 4, 5, 8, 9, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -964 × 425"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -964 by 425: -964 × 425 = -409700.\n</reasoning>\nFinal Answer: -409700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 841 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 841 × (1 - 17/100) = 841 × 0.83 = 698.03.\n</reasoning>\nFinal Answer: 698.03"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 12 + 33 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×12=60 and 33×46=1518, then add: 1578.\n</reasoning>\nFinal Answer: 1578"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 745 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 745 × (1 + 65/100) = 745 × 1.65 = 1229.25.\n</reasoning>\nFinal Answer: 1229.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 34, 27, 41, 87, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 300/6 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 63, 50, 16, 11, 58, 46, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 63 - 1 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
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