messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [96, 3, 2, 52, 84, 40, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 3: 1, 2: 1, 52: 1, 84: 1, 40: 1, 87: 1}. Most frequent: [96, 3, 2, 52, 84, 40, 87].\n</reasoning>\nFinal Answer: [96, 3, 2, 52, 84, 40, 87]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 25 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 39+625-46=618.\n</reasoning>\nFinal Answer: 618"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 * 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/5) × (3/14) = (51/70) = 51/70 after simplification.\n</reasoning>\nFinal Answer: 51/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:23 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/23, so B = A × (23/48) = 46 × 23/48 = 22.0417.\n</reasoning>\nFinal Answer: 22.0417"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -212 × 721"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -212 by 721: -212 × 721 = -152852.\n</reasoning>\nFinal Answer: -152852"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 84, 45, 83, 6, 95, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 2, 84: 1, 45: 1, 83: 1, 6: 1, 49: 1}. Most frequent: 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:28 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/28, so B = A × (28/34) = 89 × 28/34 = 73.2941.\n</reasoning>\nFinal Answer: 73.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8266 at 1% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8266 × 1 × 1 / 100 = 82.66.\n</reasoning>\nFinal Answer: 82.66"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 13, 100, 33, 18, 76, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 13 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 5 = 250.0.\n</reasoning>\nFinal Answer: 250.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹2283. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2283 × 28/100 = 639.24. Total = 2283 + 639.24 = 2922.24.\n</reasoning>\nFinal Answer: 2922.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -952 mod 705"
},
{
"role": "assistant",
"content": "<reasoning>\n-952 mod 705: -952 = 705 × -2 + 458, so remainder = 458.\n</reasoning>\nFinal Answer: 458"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6336 at 5% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6336 × 5 × 9 / 100 = 2851.2.\n</reasoning>\nFinal Answer: 2851.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 915 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 915 × (1 + 70/100) = 915 × 1.7 = 1555.5.\n</reasoning>\nFinal Answer: 1555.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 38, 49, 22, 14, 21, 34, 45, 10, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 10 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹3350. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3350 × 12/100 = 402.0. Total = 3350 + 402.0 = 3752.0.\n</reasoning>\nFinal Answer: 3752.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -9 = -998"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 23x = -989. Divide by 23: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -943 ÷ 40"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -943 by 40. -943 ÷ 40 = -24 (integer division).\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -38 = -608"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 15x = -570. Divide by 15: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 994 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 994 × (1 + 25/100) = 994 × 1.25 = 1242.5.\n</reasoning>\nFinal Answer: 1242.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 763 + 972"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 763 and 972: 763 + 972 = 1735.\n</reasoning>\nFinal Answer: 1735"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 11) * (36 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+11)=13, (36-9)=27, then 13×27=351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 79 km/h. How far does it travel in 10 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 53/60 = 10.8833 hours. Distance = speed × time = 79 × 10.8833 = 859.7833 km.\n</reasoning>\nFinal Answer: 859.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 446 × 256"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 446 by 256: 446 × 256 = 114176.\n</reasoning>\nFinal Answer: 114176"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 42 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 8+1764-48=1724.\n</reasoning>\nFinal Answer: 1724"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -476 - -996"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -996 from -476: -476 - -996 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 19 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 19 = 57 worker-days. New time = 57 / 17 = 3.3529 days.\n</reasoning>\nFinal Answer: 3.3529"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (24)x + (32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×4×32 = 64. √discriminant = 8. x = (-(24) ± 8) / (2×4). Solutions: x = -4 or x = -2.\n</reasoning>\nFinal Answer: x = -4 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 26 = 2496.\n</reasoning>\nFinal Answer: 2496"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 29, 51, 66, 36, 2, 33, 67, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 2 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:40 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/40, so B = A × (40/25) = 41 × 40/25 = 65.6.\n</reasoning>\nFinal Answer: 65.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 58, 31, 80, 50, 38, 69, 84, 63, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 31, 38, 50, 58, 63, 69, 80, 84, 92]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [41, 88, 55, 7, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 7 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -80 - -900"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -900 from -80: -80 - -900 = 820.\n</reasoning>\nFinal Answer: 820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 73, 92, 48, 4, 84, 16, 39, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 448/9 = 49.7778.\n</reasoning>\nFinal Answer: 49.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 127 km apart. Their speeds are 102 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+73=175 km/h. Time = 127/175 = 0.7257 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 914 ÷ -768"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 914 by -768. 914 ÷ -768 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 + 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/3 + 14/15. Common denominator = 15. Result = 59/15.\n</reasoning>\nFinal Answer: 59/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:9 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/9, so B = A × (9/49) = 20 × 9/49 = 3.6735.\n</reasoning>\nFinal Answer: 3.6735"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 51 and 138."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(51,138) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Is 57 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n57 = 3 × 19, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Is 189 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n189 = 3 × 63, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 20, 15, 6, 10, 27, 11, 74, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 10, 11, 15, 20, 27, 66, 74, 87]. Middle value(s) → median = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "147 is what percentage of 222?"
},
{
"role": "assistant",
"content": "<reasoning>\n(147/222) × 100 = 66.2162%.\n</reasoning>\nFinal Answer: 66.2162%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 14 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+14) × 14 = 259.0.\n</reasoning>\nFinal Answer: 259.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 3 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 3 × 24 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 177 + -419"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 177 and -419: 177 + -419 = -242.\n</reasoning>\nFinal Answer: -242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 9, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (19-1)×9 = 10 + 162 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 212 - 878"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 878 from 212: 212 - 878 = -666.\n</reasoning>\nFinal Answer: -666"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -854 ÷ -812"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -854 by -812. -854 ÷ -812 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 10 * 47 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×47=470, then 14+470-3=481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 150 and 184."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(150,184) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 341 mod -723"
},
{
"role": "assistant",
"content": "<reasoning>\n341 mod -723: 341 = -723 × -1 + -382, so remainder = -382.\n</reasoning>\nFinal Answer: -382"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 100 and 89."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(100,89) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -13 = 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 8x = 232. Divide by 8: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate: 3^5"
},
{
"role": "assistant",
"content": "<reasoning>\n3^5 = 3 × 3 × 3 × 3 × 3 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Calculate: -826 + -339"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -826 and -339: -826 + -339 = -1165.\n</reasoning>\nFinal Answer: -1165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 100 = 4000.0.\n</reasoning>\nFinal Answer: 4000.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 83, 54, 46, 94, 93, 19, 35, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 19 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 92, 54, 76, 11, 83, 23, 52, 98, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 11 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×24)/6 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 83 apples and buys 13 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 83 + 13 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "93 is what percentage of 311?"
},
{
"role": "assistant",
"content": "<reasoning>\n(93/311) × 100 = 29.9035%.\n</reasoning>\nFinal Answer: 29.9035%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 261 ÷ -284"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 261 by -284. 261 ÷ -284 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 2 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 3/5 = 0.6.\n</reasoning>\nFinal Answer: 0.6"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 24 * 40 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×40=960, then 49+960-15=994.\n</reasoning>\nFinal Answer: 994"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate: 10^4"
},
{
"role": "assistant",
"content": "<reasoning>\n10^4 = 10 × 10 × 10 × 10 = 10000.\n</reasoning>\nFinal Answer: 10000"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:39 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/39, so B = A × (39/16) = 100 × 39/16 = 243.75.\n</reasoning>\nFinal Answer: 243.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "216 is what percentage of 350?"
},
{
"role": "assistant",
"content": "<reasoning>\n(216/350) × 100 = 61.7143%.\n</reasoning>\nFinal Answer: 61.7143%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 70 = 1085.0.\n</reasoning>\nFinal Answer: 1085.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [61, 10, 40, 68, 31, 77, 46, 43, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 10 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 64 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 64 × 23 = 736.0.\n</reasoning>\nFinal Answer: 736.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 3 + 46 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×3=105 and 46×39=1794, then add: 1899.\n</reasoning>\nFinal Answer: 1899"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 + 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/7 + 13/10. Common denominator = 70. Result = 211/70.\n</reasoning>\nFinal Answer: 211/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 831 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 831 × (1 + 15/100) = 831 × 1.15 = 955.65.\n</reasoning>\nFinal Answer: 955.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 33 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(33+58) = 2×91 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [3, 11, 14] and B = [2, 5, 7, 10, 13, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 11, 14].\n</reasoning>\nFinal Answer: [3, 11, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 21 = 1131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 30x = 1110. Divide by 30: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 75 and 189."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(75,189) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 269 - 430"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 430 from 269: 269 - 430 = -161.\n</reasoning>\nFinal Answer: -161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:32 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/32, so B = A × (32/47) = 80 × 32/47 = 54.4681.\n</reasoning>\nFinal Answer: 54.4681"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 8/18. Common denominator = 117. Result = 61/117.\n</reasoning>\nFinal Answer: 61/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5315 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5315 × 9 × 2 / 100 = 956.7.\n</reasoning>\nFinal Answer: 956.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "646 is what percentage of 975?"
},
{
"role": "assistant",
"content": "<reasoning>\n(646/975) × 100 = 66.2564%.\n</reasoning>\nFinal Answer: 66.2564%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 * 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/9) × (18/1) = (90/9) = 10 after simplification.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 496 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 496 × (1 - 35/100) = 496 × 0.65 = 322.4.\n</reasoning>\nFinal Answer: 322.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3452. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3452 × 5/100 = 172.6. Total = 3452 + 172.6 = 3624.6.\n</reasoning>\nFinal Answer: 3624.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×32)/1 = 1376.\n</reasoning>\nFinal Answer: 1376"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 190 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 190 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 40, 91, 74, 80, 64, 17, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 40, 58, 64, 74, 77, 80, 91]. Middle value(s) → median = 69.0.\n</reasoning>\nFinal Answer: 69.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×21)/1 = 798.\n</reasoning>\nFinal Answer: 798"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 707 km apart. Their speeds are 58 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+120=178 km/h. Time = 707/178 = 3.9719 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 32, 40, 48, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 8. Next term = 56 + 8 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 788 km apart. Their speeds are 42 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+62=104 km/h. Time = 788/104 = 7.5769 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 579 + -76"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 579 and -76: 579 + -76 = 503.\n</reasoning>\nFinal Answer: 503"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 223 mod 450"
},
{
"role": "assistant",
"content": "<reasoning>\n223 mod 450: 223 = 450 × 0 + 223, so remainder = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -25 = -223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 18x = -198. Divide by 18: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [52, 5, 16, 79, 78, 41, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 16, 40, 41, 52, 78, 79]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -8 = 103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 3x = 111. Divide by 3: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+4) = 2×41 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
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