messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 43 = 4171.\n</reasoning>\nFinal Answer: 4171"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 224."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 224 by smallest primes repeatedly: 224 = 2 × 2 × 2 × 2 × 2 × 7.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 2 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 14, 79, 27, 52, 100, 15, 59, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 454/9 = 50.4444.\n</reasoning>\nFinal Answer: 50.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23618 at 4% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23618 × 4 × 3 / 100 = 2834.16.\n</reasoning>\nFinal Answer: 2834.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 / 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/15) ÷ (5/11) = (11/15) × (11/5) = 121/75.\n</reasoning>\nFinal Answer: 121/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 924 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 924 × (1 - 12/100) = 924 × 0.88 = 813.12.\n</reasoning>\nFinal Answer: 813.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 105 apples and buys 107 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 105 + 107 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -772 ÷ 322"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -772 by 322. -772 ÷ 322 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 967 - 515"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 515 from 967: 967 - 515 = 452.\n</reasoning>\nFinal Answer: 452"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 385 × 360"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 385 by 360: 385 × 360 = 138600.\n</reasoning>\nFinal Answer: 138600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3882. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3882 × 28/100 = 1086.96. Total = 3882 + 1086.96 = 4968.96.\n</reasoning>\nFinal Answer: 4968.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 464 - -125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -125 from 464: 464 - -125 = 589.\n</reasoning>\nFinal Answer: 589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 70% of 839?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 839 = (70/100) × 839 = 587.3.\n</reasoning>\nFinal Answer: 587.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 6 = 302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 8x = 296. Divide by 8: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/1 / 5/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/1) ÷ (5/18) = (18/1) × (18/5) = 324/5.\n</reasoning>\nFinal Answer: 324/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 135 - 992"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 992 from 135: 135 - 992 = -857.\n</reasoning>\nFinal Answer: -857"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 947?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 947 = (35/100) × 947 = 331.45.\n</reasoning>\nFinal Answer: 331.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -872 ÷ -33"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -872 by -33. -872 ÷ -33 = 26 (integer division).\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 8, 10, 14] and B = [7, 8, 12, 13, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 7, 10, 12, 13, 14, 16, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 122 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 122 × (1 - 5/100) = 122 × 0.95 = 115.9.\n</reasoning>\nFinal Answer: 115.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -397 × 645"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -397 by 645: -397 × 645 = -256065.\n</reasoning>\nFinal Answer: -256065"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 7 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 7/60 = 7.1167 hours. Distance = speed × time = 46 × 7.1167 = 327.3667 km.\n</reasoning>\nFinal Answer: 327.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 27 + 41 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×27=351 and 41×30=1230, then add: 1581.\n</reasoning>\nFinal Answer: 1581"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -12 - 937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 937 from -12: -12 - 937 = -949.\n</reasoning>\nFinal Answer: -949"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 26 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 26 = 416 worker-days. New time = 416 / 16 = 26.0 days.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 38 × -343"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 38 by -343: 38 × -343 = -13034.\n</reasoning>\nFinal Answer: -13034"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 327."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 327 by smallest primes repeatedly: 327 = 3 × 109.\n</reasoning>\nFinal Answer: 3 × 109"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 60, 12, 92, 52, 95, 77, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 12 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 47 = -844"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 27x = -891. Divide by 27: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 49 = 427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 14x = 378. Divide by 14: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 254 km apart. Their speeds are 58 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+117=175 km/h. Time = 254/175 = 1.4514 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 9 = -563"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 13x = -572. Divide by 13: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 31 * 13 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×13=403, then 6+403-46=363.\n</reasoning>\nFinal Answer: 363"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 113 km apart. Their speeds are 72 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+93=165 km/h. Time = 113/165 = 0.6848 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 813 km apart. Their speeds are 56 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+70=126 km/h. Time = 813/126 = 6.4524 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 23, and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 23 + 24 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 7) * (32 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+7)=9, (32-45)=-13, then 9×-13=-117.\n</reasoning>\nFinal Answer: -117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 46, 34, 29, 63, 17, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 63 - 1 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 - 6/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/15 - 6/10. LCD = 15. Result = 2/15.\n</reasoning>\nFinal Answer: 2/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -311 ÷ -23"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -311 by -23. -311 ÷ -23 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 109 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 109 × (1 + 80/100) = 109 × 1.8 = 196.2.\n</reasoning>\nFinal Answer: 196.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 439 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 439 × (1 - 3/100) = 439 × 0.97 = 425.83.\n</reasoning>\nFinal Answer: 425.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (19/1) = (14/15) × (1/19) = 14/285.\n</reasoning>\nFinal Answer: 14/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 56, 70, 78, 45, 63, 68, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 45, 48, 56, 63, 68, 70, 78]. Middle value(s) → median = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 10 = 325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 9x = 315. Divide by 9: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 14, 19] and B = [1, 6, 7, 9, 15, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 14, 19].\n</reasoning>\nFinal Answer: [10, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -579 + 485"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -579 and 485: -579 + 485 = -94.\n</reasoning>\nFinal Answer: -94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 38, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 38 + 39 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 81 = 6399.\n</reasoning>\nFinal Answer: 6399"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:27 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/27, so B = A × (27/30) = 40 × 27/30 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 13, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (43-1)×13 = 9 + 546 = 555.\n</reasoning>\nFinal Answer: 555"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -33 = -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 6x = -216. Divide by 6: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 816 + -219"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 816 and -219: 816 + -219 = 597.\n</reasoning>\nFinal Answer: 597"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 447 × 727"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 447 by 727: 447 × 727 = 324969.\n</reasoning>\nFinal Answer: 324969"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 2, 94, 48, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 45, 48, 79, 94]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "137 is what percentage of 303?"
},
{
"role": "assistant",
"content": "<reasoning>\n(137/303) × 100 = 45.2145%.\n</reasoning>\nFinal Answer: 45.2145%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 570 ÷ -62"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 570 by -62. 570 ÷ -62 = -10 (integer division).\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 16) * (24 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+16)=64, (24-18)=6, then 64×6=384.\n</reasoning>\nFinal Answer: 384"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 748 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 748 × (1 + 100/100) = 748 × 2.0 = 1496.0.\n</reasoning>\nFinal Answer: 1496.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 879 - 678"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 678 from 879: 879 - 678 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 765 + -155"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 765 and -155: 765 + -155 = 610.\n</reasoning>\nFinal Answer: 610"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 121 km apart. Their speeds are 86 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+114=200 km/h. Time = 121/200 = 0.605 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 105 km apart. Their speeds are 80 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+83=163 km/h. Time = 105/163 = 0.6442 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "268 is what percentage of 332?"
},
{
"role": "assistant",
"content": "<reasoning>\n(268/332) × 100 = 80.7229%.\n</reasoning>\nFinal Answer: 80.7229%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -400 mod -651"
},
{
"role": "assistant",
"content": "<reasoning>\n-400 mod -651: -400 = -651 × 0 + -400, so remainder = -400.\n</reasoning>\nFinal Answer: -400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -17 = -137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 4x = -120. Divide by 4: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+55) = 2×139 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 72, 46, 35, 24, 77, 86, 34, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 72: 1, 46: 1, 35: 1, 24: 1, 77: 1, 86: 1, 34: 1, 5: 1}. Most frequent: [69, 72, 46, 35, 24, 77, 86, 34, 5].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 558 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 558 × (1 + 45/100) = 558 × 1.45 = 809.1.\n</reasoning>\nFinal Answer: 809.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 42, 13, 99, 89, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 13, 39, 42, 89, 99]. Middle value(s) → median = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 17 = -1153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 30x = -1170. Divide by 30: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 21, 25, 29, 83, 5, 48, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 18, 21, 25, 29, 48, 83, 97]. Middle value(s) → median = 27.0.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "105 is what percentage of 314?"
},
{
"role": "assistant",
"content": "<reasoning>\n(105/314) × 100 = 33.4395%.\n</reasoning>\nFinal Answer: 33.4395%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 39, 3, 35, 10, 55, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 39: 1, 3: 1, 35: 1, 10: 1, 55: 1, 36: 1}. Most frequent: [46, 39, 3, 35, 10, 55, 36].\n</reasoning>\nFinal Answer: [46, 39, 3, 35, 10, 55, 36... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 / 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/12) ÷ (7/17) = (10/12) × (17/7) = 85/42.\n</reasoning>\nFinal Answer: 85/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 11 = -495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 23x = -506. Divide by 23: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 42, 20, 85, 98, 6, 87, 25, 63, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 42: 1, 20: 1, 85: 1, 98: 1, 6: 1, 87: 1, 25: 1, 63: 1, 28: 1}. Most frequent: [54, 42, 20, 85, 98, 6, 87, 25, 63, 28].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:31 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/31, so B = A × (31/3) = 41 × 31/3 = 423.6667.\n</reasoning>\nFinal Answer: 423.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 18 and 95."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(18,95) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 26 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 26 = 260 worker-days. New time = 260 / 3 = 86.6667 days.\n</reasoning>\nFinal Answer: 86.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 820 km apart. Their speeds are 54 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+102=156 km/h. Time = 820/156 = 5.2564 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 63 apples and buys 93 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 63 + 93 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49647 at 2% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49647 × 2 × 1 / 100 = 992.94.\n</reasoning>\nFinal Answer: 992.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:21 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/21, so B = A × (21/35) = 62 × 21/35 = 37.2.\n</reasoning>\nFinal Answer: 37.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 + 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/6 + 5/4. Common denominator = 12. Result = 37/12.\n</reasoning>\nFinal Answer: 37/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 + 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/16 + 9/19. Common denominator = 304. Result = 315/304.\n</reasoning>\nFinal Answer: 315/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×25)/5 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -559 - -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -124 from -559: -559 - -124 = -435.\n</reasoning>\nFinal Answer: -435"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 * 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/6) × (6/6) = (72/36) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -8 = 792"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 25x = 800. Divide by 25: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -382 ÷ 318"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -382 by 318. -382 ÷ 318 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44692 at 19% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44692 × 19 × 4 / 100 = 33965.92.\n</reasoning>\nFinal Answer: 33965.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 17, 1, 79, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 17: 1, 1: 1, 79: 1, 73: 1}. Most frequent: [76, 17, 1, 79, 73].\n</reasoning>\nFinal Answer: [76, 17, 1, 79, 73]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 89 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 89 × 58 = 5162.\n</reasoning>\nFinal Answer: 5162"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 33, 29, 70, 70, 85, 17, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 17 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 2, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (18-1)×2 = 24 + 34 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 43, 36, 66, 11, 92, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 36, 43, 54, 63, 66, 92]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 54 = 3618.\n</reasoning>\nFinal Answer: 3618"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 10 * 34 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×34=340, then 25+340-25=340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 27 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+27) × 31 = 434.0.\n</reasoning>\nFinal Answer: 434.0"
}
] | medium | [
"geometry",
"area"
] |
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