messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 35 + 38 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×35=840 and 38×49=1862, then add: 2702.\n</reasoning>\nFinal Answer: 2702"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 15 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 15 × (1 + 90/100) = 15 × 1.9 = 28.5.\n</reasoning>\nFinal Answer: 28.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/8 + 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/8 + 20/2. Common denominator = 2. Result = 25/2.\n</reasoning>\nFinal Answer: 25/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 87, 31, 7, 72, 44, 3, 19, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 87: 1, 31: 1, 7: 1, 72: 1, 44: 1, 3: 1, 19: 1, 96: 1}. Most frequent: [11, 87, 31, 7, 72, 44, 3, 19, 96].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹539. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 539 × 18/100 = 97.02. Total = 539 + 97.02 = 636.02.\n</reasoning>\nFinal Answer: 636.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -2 = -152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 3x = -150. Divide by 3: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 28 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(28+64) = 2×92 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -286 - 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 202 from -286: -286 - 202 = -488.\n</reasoning>\nFinal Answer: -488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "365 is what percentage of 791?"
},
{
"role": "assistant",
"content": "<reasoning>\n(365/791) × 100 = 46.1441%.\n</reasoning>\nFinal Answer: 46.1441%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 10 = -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 13x = -130. Divide by 13: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [77, 52, 60, 92, 75, 70, 14, 89, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {77: 1, 52: 1, 60: 1, 92: 1, 75: 1, 70: 1, 14: 1, 89: 1, 86: 1}. Most frequent: [77, 52, 60, 92, 75, 70, 14, 89, 86].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 4, 48, 53, 98, 47, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 47, 48, 51, 53, 76, 98]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 88 + 101"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 88 and 101: 88 + 101 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 + 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/20 + 16/9. Common denominator = 180. Result = 437/180.\n</reasoning>\nFinal Answer: 437/180"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 6, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (41-1)×6 = 10 + 240 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:16 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/16, so B = A × (16/47) = 8 × 16/47 = 2.7234.\n</reasoning>\nFinal Answer: 2.7234"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41120 at 5% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41120 × 5 × 3 / 100 = 6168.0.\n</reasoning>\nFinal Answer: 6168.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×17)/1 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -11 + 275"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -11 and 275: -11 + 275 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 628 - -489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -489 from 628: 628 - -489 = 1117.\n</reasoning>\nFinal Answer: 1117"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 85, 61, 16, 74, 85, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 374/7 = 53.4286.\n</reasoning>\nFinal Answer: 53.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 11, 12, 13, 14, 17] and B = [1, 6, 8, 9, 13, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 6, 8, 9, 11, 12, 14, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 / 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/7) ÷ (20/14) = (3/7) × (14/20) = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 23 * 3 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×3=69, then 39+69-19=89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:39 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/39, so B = A × (39/1) = 44 × 39/1 = 1716.0.\n</reasoning>\nFinal Answer: 1716.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:43 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/43, so B = A × (43/16) = 84 × 43/16 = 225.75.\n</reasoning>\nFinal Answer: 225.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 33 = -575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 16x = -608. Divide by 16: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:49 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/49, so B = A × (49/27) = 73 × 49/27 = 132.4815.\n</reasoning>\nFinal Answer: 132.4815"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -6 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 3x = -45. Divide by 3: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 18, 19] and B = [4, 13, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 19].\n</reasoning>\nFinal Answer: [2, 3, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 159 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 159 × (1 - 25/100) = 159 × 0.75 = 119.25.\n</reasoning>\nFinal Answer: 119.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 3 = 423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 14x = 420. Divide by 14: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 7 = -315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 7x = -322. Divide by 7: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -911 + 851"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -911 and 851: -911 + 851 = -60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 848?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 848 = (15/100) × 848 = 127.2.\n</reasoning>\nFinal Answer: 127.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 6 = 405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 21x = 399. Divide by 21: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 46) * (28 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+46)=59, (28-9)=19, then 59×19=1121.\n</reasoning>\nFinal Answer: 1121"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 15 = -305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 16x = -320. Divide by 16: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 442 km apart. Their speeds are 106 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+87=193 km/h. Time = 442/193 = 2.2902 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 17, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (39-1)×17 = 24 + 646 = 670.\n</reasoning>\nFinal Answer: 670"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹116. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 116 × 18/100 = 20.88. Total = 116 + 20.88 = 136.88.\n</reasoning>\nFinal Answer: 136.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 10, 15, 17] and B = [4, 7, 12, 13, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 9, 10, 12, 13, 17, 18].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 69 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 69 × 2 = 69.0.\n</reasoning>\nFinal Answer: 69.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Is 58 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n58 = 2 × 29, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×15)/1 = 735.\n</reasoning>\nFinal Answer: 735"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 2 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 59/60 = 2.9833 hours. Distance = speed × time = 186 × 2.9833 = 554.9 km.\n</reasoning>\nFinal Answer: 554.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 2 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 50+4-27=27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 - 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/2 - 3/7. LCD = 14. Result = 127/14.\n</reasoning>\nFinal Answer: 127/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1222. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1222 × 28/100 = 342.16. Total = 1222 + 342.16 = 1564.16.\n</reasoning>\nFinal Answer: 1564.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 - 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/4 - 16/16. LCD = 1. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -20 = 241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 29x = 261. Divide by 29: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 377 mod 150"
},
{
"role": "assistant",
"content": "<reasoning>\n377 mod 150: 377 = 150 × 2 + 77, so remainder = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -242 - -312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -312 from -242: -242 - -312 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 18 = 642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 13x = 624. Divide by 13: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 13, 14, 18] and B = [1, 4, 8, 11, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 4, 13, 18].\n</reasoning>\nFinal Answer: [1, 4, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 * 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/7) × (17/19) = (204/133) = 204/133 after simplification.\n</reasoning>\nFinal Answer: 204/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 7 + 29 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×7=238 and 29×18=522, then add: 760.\n</reasoning>\nFinal Answer: 760"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 41 = 104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 7x = 63. Divide by 7: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+9) = 2×81 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 403 km apart. Their speeds are 95 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+50=145 km/h. Time = 403/145 = 2.7793 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 769 ÷ 771"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 769 by 771. 769 ÷ 771 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 / 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/18) ÷ (2/14) = (13/18) × (14/2) = 91/18.\n</reasoning>\nFinal Answer: 91/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 5, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (12-1)×5 = 23 + 55 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 178 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 178 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 9 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+9) × 4 = 94.0.\n</reasoning>\nFinal Answer: 94.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 10 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 10 = 70 worker-days. New time = 70 / 14 = 5.0 days.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 38 = 627.0.\n</reasoning>\nFinal Answer: 627.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -123 ÷ -673"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -123 by -673. -123 ÷ -673 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 21 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 8x = 40. Divide by 8: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 - 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 2/5. LCD = 15. Result = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 20 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 27+400-29=398.\n</reasoning>\nFinal Answer: 398"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 - 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/11 - 1/17. LCD = 187. Result = 23/187.\n</reasoning>\nFinal Answer: 23/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -533 mod 460"
},
{
"role": "assistant",
"content": "<reasoning>\n-533 mod 460: -533 = 460 × -2 + 387, so remainder = 387.\n</reasoning>\nFinal Answer: 387"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 41, 16, 60, 84, 52, 27, 54, 36, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 41: 1, 16: 1, 60: 1, 84: 1, 52: 1, 27: 1, 54: 1, 36: 1, 79: 1}. Most frequent: [44, 41, 16, 60, 84, 52, 27, 54, 36, 79].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 12, 13, 19] and B = [1, 2, 5, 6, 7, 8, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 13, 19].\n</reasoning>\nFinal Answer: [12, 13, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -432 × -672"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -432 by -672: -432 × -672 = 290304.\n</reasoning>\nFinal Answer: 290304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 21 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 21 = 168 worker-days. New time = 168 / 20 = 8.4 days.\n</reasoning>\nFinal Answer: 8.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 - 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/17 - 7/11. LCD = 187. Result = -97/187.\n</reasoning>\nFinal Answer: -97/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 49, 92, 1, 36, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 255/6 = 42.5.\n</reasoning>\nFinal Answer: 42.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 - 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/18 - 13/16. LCD = 144. Result = 35/144.\n</reasoning>\nFinal Answer: 35/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -25 = -465"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 11x = -440. Divide by 11: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 125 apples and buys 167 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 125 + 167 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 70, 43, 93, 48, 59, 100, 41, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 41, 43, 48, 59, 68, 70, 93, 100]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [5, 10, 17, 18] and B = [4, 7, 8, 10, 14, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 17].\n</reasoning>\nFinal Answer: [5, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 9, 93, 32, 37, 16, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 9 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "75 is what percentage of 709?"
},
{
"role": "assistant",
"content": "<reasoning>\n(75/709) × 100 = 10.5783%.\n</reasoning>\nFinal Answer: 10.5783%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:39 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/39, so B = A × (39/33) = 74 × 39/33 = 87.4545.\n</reasoning>\nFinal Answer: 87.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 10, 12, 14, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 2. Next term = 16 + 2 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 542 km apart. Their speeds are 89 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+82=171 km/h. Time = 542/171 = 3.1696 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 583 mod -251"
},
{
"role": "assistant",
"content": "<reasoning>\n583 mod -251: 583 = -251 × -3 + -170, so remainder = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 920 × 944"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 920 by 944: 920 × 944 = 868480.\n</reasoning>\nFinal Answer: 868480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 37, 37, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 37 + 37 + 40 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 118 km apart. Their speeds are 46 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+53=99 km/h. Time = 118/99 = 1.1919 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:14 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/14, so B = A × (14/19) = 6 × 14/19 = 4.4211.\n</reasoning>\nFinal Answer: 4.4211"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 56, 24, 91, 63, 29, 80, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 17, 24, 29, 56, 63, 80, 91]. Middle value(s) → median = 42.5.\n</reasoning>\nFinal Answer: 42.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 633 ÷ -181"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 633 by -181. 633 ÷ -181 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 9 * 33 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×33=297, then 23+297-32=288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 89, 19, 64, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 19 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 27) * (32 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+27)=66, (32-44)=-12, then 66×-12=-792.\n</reasoning>\nFinal Answer: -792"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+35) = 2×79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"perimeter"
] |
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