messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 143 km apart. Their speeds are 111 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+94=205 km/h. Time = 143/205 = 0.6976 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 * 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/10) × (10/6) = (200/60) = 10/3 after simplification.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 99, 77, 13, 24, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/6 = 59.1667.\n</reasoning>\nFinal Answer: 59.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 24 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 24 × 77 = 1848.\n</reasoning>\nFinal Answer: 1848"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×30)/2 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -37 = -233"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 14x = -196. Divide by 14: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 13, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (35-1)×13 = 8 + 442 = 450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 15 * 47 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×47=705, then 26+705-19=712.\n</reasoning>\nFinal Answer: 712"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 7, 8, 10, 16] and B = [3, 4, 9, 10, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 4, 10].\n</reasoning>\nFinal Answer: [3, 4, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [48, 72, 71, 37, 96, 4, 78, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 4 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [90, 1, 46, 40, 87, 71, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {90: 1, 1: 1, 46: 1, 40: 1, 87: 1, 71: 1, 53: 1}. Most frequent: [90, 1, 46, 40, 87, 71, 53].\n</reasoning>\nFinal Answer: [90, 1, 46, 40, 87, 71, 53... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 842 + -260"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 842 and -260: 842 + -260 = 582.\n</reasoning>\nFinal Answer: 582"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -207 + 420"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -207 and 420: -207 + 420 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+85) = 2×103 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 22 = 2068.\n</reasoning>\nFinal Answer: 2068"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -658 - -658"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -658 from -658: -658 - -658 = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 31 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 30+961-29=962.\n</reasoning>\nFinal Answer: 962"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -893 mod -67"
},
{
"role": "assistant",
"content": "<reasoning>\n-893 mod -67: -893 = -67 × 13 + -22, so remainder = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 + 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/20 + 5/15. Common denominator = 60. Result = 53/60.\n</reasoning>\nFinal Answer: 53/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (7)x + (-18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 7² - 4×1×-18 = 121. √discriminant = 11. x = (-(7) ± 11) / (2×1). Solutions: x = 2 or x = -9.\n</reasoning>\nFinal Answer: x = 2 or x = -9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 52 and 132."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(52,132) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -49 = -669"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 20x = -620. Divide by 20: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 20 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 35+400-6=429.\n</reasoning>\nFinal Answer: 429"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "11 is what percentage of 381?"
},
{
"role": "assistant",
"content": "<reasoning>\n(11/381) × 100 = 2.8871%.\n</reasoning>\nFinal Answer: 2.8871%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 15 = 639"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 16x = 624. Divide by 16: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 823 + -763"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 823 and -763: 823 + -763 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 91, 13, 55, 57, 33, 79, 13, 75, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 484/10 = 48.4.\n</reasoning>\nFinal Answer: 48.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 650 ÷ -936"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 650 by -936. 650 ÷ -936 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 29 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 29 = 464 worker-days. New time = 464 / 10 = 46.4 days.\n</reasoning>\nFinal Answer: 46.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 38 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+38) × 20 = 850.0.\n</reasoning>\nFinal Answer: 850.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 36 + 24 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×36=1008 and 24×15=360, then add: 1368.\n</reasoning>\nFinal Answer: 1368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4741. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4741 × 5/100 = 237.05. Total = 4741 + 237.05 = 4978.05.\n</reasoning>\nFinal Answer: 4978.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 64 = 672.0.\n</reasoning>\nFinal Answer: 672.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 40, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 40 + 40 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 80 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 80 + 128 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 39 + 31 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×39=273 and 31×29=899, then add: 1172.\n</reasoning>\nFinal Answer: 1172"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 63 km/h. How far does it travel in 11 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 29/60 = 11.4833 hours. Distance = speed × time = 63 × 11.4833 = 723.45 km.\n</reasoning>\nFinal Answer: 723.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 50) * (8 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+50)=53, (8-13)=-5, then 53×-5=-265.\n</reasoning>\nFinal Answer: -265"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 13, 16, 18] and B = [1, 2, 3, 5, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 11, 13, 16, 18].\n</reasoning>\nFinal Answer: [5, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -718 ÷ -310"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -718 by -310. -718 ÷ -310 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "560 is what percentage of 873?"
},
{
"role": "assistant",
"content": "<reasoning>\n(560/873) × 100 = 64.1466%.\n</reasoning>\nFinal Answer: 64.1466%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 31 + 17 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×31=1023 and 17×20=340, then add: 1363.\n</reasoning>\nFinal Answer: 1363"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 15] and B = [2, 4, 8, 9, 10, 12, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 5, 8, 9, 10, 12, 15, 18].\n</reasoning>\nFinal Answer: [2, 3, 4, 5, 8, 9, 10... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -38 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 5x = 85. Divide by 5: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 9, 82, 44, 7, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 199/6 = 33.1667.\n</reasoning>\nFinal Answer: 33.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 61 + -611"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 61 and -611: 61 + -611 = -550.\n</reasoning>\nFinal Answer: -550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 48 * 44 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×44=2112, then 40+2112-29=2123.\n</reasoning>\nFinal Answer: 2123"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "215 is what percentage of 473?"
},
{
"role": "assistant",
"content": "<reasoning>\n(215/473) × 100 = 45.4545%.\n</reasoning>\nFinal Answer: 45.4545%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 71 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 71 × (1 - 30/100) = 71 × 0.7 = 49.7.\n</reasoning>\nFinal Answer: 49.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 230?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 230 = (90/100) × 230 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 + 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/16 + 5/3. Common denominator = 24. Result = 49/24.\n</reasoning>\nFinal Answer: 49/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 157 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 = 157 × 8.1000 = 1271.7 km.\n</reasoning>\nFinal Answer: 1271.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 65% of 418?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 418 = (65/100) × 418 = 271.7.\n</reasoning>\nFinal Answer: 271.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:23 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/23, so B = A × (23/12) = 66 × 23/12 = 126.5.\n</reasoning>\nFinal Answer: 126.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 43, 36, 88, 61, 40, 74, 10, 73, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 503/10 = 50.3.\n</reasoning>\nFinal Answer: 50.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 94 + -513"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 94 and -513: 94 + -513 = -419.\n</reasoning>\nFinal Answer: -419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 16, 91, 26, 54, 56, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 17 = -99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 29x = -116. Divide by 29: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 119 ÷ -520"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 119 by -520. 119 ÷ -520 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 64 = 4992.\n</reasoning>\nFinal Answer: 4992"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 28, 83, 33, 34, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 28 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 17 = -390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 109 apples and buys 162 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 109 + 162 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 936 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 936 × (1 - 60/100) = 936 × 0.4 = 374.4.\n</reasoning>\nFinal Answer: 374.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 3 * 31 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×31=93, then 9+93-19=83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 5 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 5 × 19 = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 - 4/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/5 - 4/14. LCD = 35. Result = 67/35.\n</reasoning>\nFinal Answer: 67/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 672 - 559"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 559 from 672: 672 - 559 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 23 * 21 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×21=483, then 37+483-37=483.\n</reasoning>\nFinal Answer: 483"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 34 = -46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 16x = -80. Divide by 16: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2935 at 20% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2935 × 20 × 1 / 100 = 587.0.\n</reasoning>\nFinal Answer: 587.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 237 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 237 × (1 + 17/100) = 237 × 1.17 = 277.29.\n</reasoning>\nFinal Answer: 277.29"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 20 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 3x = 51. Divide by 3: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 342 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 342 × (1 + 15/100) = 342 × 1.15 = 393.3.\n</reasoning>\nFinal Answer: 393.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 + 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/15 + 18/20. Common denominator = 30. Result = 53/30.\n</reasoning>\nFinal Answer: 53/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 87 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 87 × 15 = 1305.\n</reasoning>\nFinal Answer: 1305"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -774 + -273"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -774 and -273: -774 + -273 = -1047.\n</reasoning>\nFinal Answer: -1047"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 16 + 40 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×16=368 and 40×50=2000, then add: 2368.\n</reasoning>\nFinal Answer: 2368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 14 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 6+196-50=152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 101 and 172."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(101,172) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -897 mod -740"
},
{
"role": "assistant",
"content": "<reasoning>\n-897 mod -740: -897 = -740 × 1 + -157, so remainder = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -46 = -760"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 21x = -714. Divide by 21: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 82 - -227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -227 from 82: 82 - -227 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 20 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 20 × 15 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 2, 76, 10, 29, 43, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 2: 1, 76: 1, 10: 1, 29: 1, 43: 1, 32: 1}. Most frequent: [72, 2, 76, 10, 29, 43, 32].\n</reasoning>\nFinal Answer: [72, 2, 76, 10, 29, 43, 32... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 60% of 78?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 78 = (60/100) × 78 = 46.8.\n</reasoning>\nFinal Answer: 46.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 92, 82, 30, 72, 30, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 92: 1, 82: 1, 30: 2, 72: 1, 76: 1}. Most frequent: 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -16 = 1145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 27x = 1161. Divide by 27: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:5 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/5, so B = A × (5/19) = 27 × 5/19 = 7.1053.\n</reasoning>\nFinal Answer: 7.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -649 + -921"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -649 and -921: -649 + -921 = -1570.\n</reasoning>\nFinal Answer: -1570"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 933 ÷ -920"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 933 by -920. 933 ÷ -920 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 137 apples and buys 30 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 137 + 30 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 24 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 24 = 168 worker-days. New time = 168 / 16 = 10.5 days.\n</reasoning>\nFinal Answer: 10.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 21 = 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 2x = 2. Divide by 2: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -805 × -139"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -805 by -139: -805 × -139 = 111895.\n</reasoning>\nFinal Answer: 111895"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 2 + 37 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×2=68 and 37×3=111, then add: 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 + 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/15 + 2/1. Common denominator = 15. Result = 41/15.\n</reasoning>\nFinal Answer: 41/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -468 + 322"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -468 and 322: -468 + 322 = -146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 16) * (25 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+16)=49, (25-42)=-17, then 49×-17=-833.\n</reasoning>\nFinal Answer: -833"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 272 km apart. Their speeds are 112 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+65=177 km/h. Time = 272/177 = 1.5367 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
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