messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [77, 47, 76, 25, 48, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {77: 1, 47: 1, 76: 1, 25: 1, 48: 1, 26: 1}. Most frequent: [77, 47, 76, 25, 48, 26].\n</reasoning>\nFinal Answer: [77, 47, 76, 25, 48, 26]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 25 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 20x = -420. Divide by 20: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 61 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 61 × (1 + 60/100) = 61 × 1.6 = 97.6.\n</reasoning>\nFinal Answer: 97.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 19 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 19 = 361 worker-days. New time = 361 / 20 = 18.05 days.\n</reasoning>\nFinal Answer: 18.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 - 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/11 - 17/20. LCD = 220. Result = -67/220.\n</reasoning>\nFinal Answer: -67/220"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 27 = 811"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 28x = 784. Divide by 28: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (3/7) = (45/126) = 5/14 after simplification.\n</reasoning>\nFinal Answer: 5/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -289 × -61"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -289 by -61: -289 × -61 = 17629.\n</reasoning>\nFinal Answer: 17629"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 80, 69, 85, 41, 29, 93, 68, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 29 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 19, 87, 3, 36, 54, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 19: 1, 87: 1, 3: 1, 36: 1, 54: 1, 7: 1}. Most frequent: [95, 19, 87, 3, 36, 54, 7].\n</reasoning>\nFinal Answer: [95, 19, 87, 3, 36, 54, 7]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 43 = 480"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 23x = 437. Divide by 23: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -139 ÷ 98"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -139 by 98. -139 ÷ 98 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 49 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 32+2401-36=2397.\n</reasoning>\nFinal Answer: 2397"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 515 ÷ 357"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 515 by 357. 515 ÷ 357 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 + 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/20 + 20/12. Common denominator = 60. Result = 109/60.\n</reasoning>\nFinal Answer: 109/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 852 ÷ -407"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 852 by -407. 852 ÷ -407 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (65)x + (180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 65² - 4×5×180 = 625. √discriminant = 25. x = (-(65) ± 25) / (2×5). Solutions: x = -4 or x = -9.\n</reasoning>\nFinal Answer: x = -4 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 40% of 360?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 360 = (40/100) × 360 = 144.0.\n</reasoning>\nFinal Answer: 144.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41068 at 7% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41068 × 7 × 10 / 100 = 28747.6.\n</reasoning>\nFinal Answer: 28747.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 16 + 19 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×16=432 and 19×8=152, then add: 584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 75 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 75 × 91 = 6825.\n</reasoning>\nFinal Answer: 6825"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 57 = 5016.\n</reasoning>\nFinal Answer: 5016"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -938 ÷ 306"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -938 by 306. -938 ÷ 306 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 30) * (17 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+30)=74, (17-20)=-3, then 74×-3=-222.\n</reasoning>\nFinal Answer: -222"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 29 = 512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 21x = 483. Divide by 21: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 978 mod 628"
},
{
"role": "assistant",
"content": "<reasoning>\n978 mod 628: 978 = 628 × 1 + 350, so remainder = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -733 ÷ -516"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -733 by -516. -733 ÷ -516 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 5 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 5 = 15 worker-days. New time = 15 / 4 = 3.75 days.\n</reasoning>\nFinal Answer: 3.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 * 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/8) × (9/20) = (117/160) = 117/160 after simplification.\n</reasoning>\nFinal Answer: 117/160"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+86) = 2×143 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "573 is what percentage of 674?"
},
{
"role": "assistant",
"content": "<reasoning>\n(573/674) × 100 = 85.0148%.\n</reasoning>\nFinal Answer: 85.0148%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 92, 47, 28, 28, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 236/6 = 39.3333.\n</reasoning>\nFinal Answer: 39.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 - 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/17 - 19/13. LCD = 221. Result = -154/221.\n</reasoning>\nFinal Answer: -154/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -275 × -254"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -275 by -254: -275 × -254 = 69850.\n</reasoning>\nFinal Answer: 69850"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 406 × 432"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 406 by 432: 406 × 432 = 175392.\n</reasoning>\nFinal Answer: 175392"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 21 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 21x = -105. Divide by 21: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 15) * (35 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+15)=58, (35-14)=21, then 58×21=1218.\n</reasoning>\nFinal Answer: 1218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -18 = 522"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 18x = 540. Divide by 18: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 26 * 37 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×37=962, then 27+962-3=986.\n</reasoning>\nFinal Answer: 986"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 21 = 924.0.\n</reasoning>\nFinal Answer: 924.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 24 = 360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 8x = 336. Divide by 8: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 99, 93, 63, 17, 10, 71, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 440/8 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 95, 18, 55, 70, 46, 86, 78, 77, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 40, 46, 49, 55, 70, 77, 78, 86, 95]. Middle value(s) → median = 62.5.\n</reasoning>\nFinal Answer: 62.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 693 × 471"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 693 by 471: 693 × 471 = 326403.\n</reasoning>\nFinal Answer: 326403"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 13 + 30 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×13=585 and 30×44=1320, then add: 1905.\n</reasoning>\nFinal Answer: 1905"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 29 = -430"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 17x = -459. Divide by 17: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 93 = 3069.\n</reasoning>\nFinal Answer: 3069"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 849 km apart. Their speeds are 98 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+52=150 km/h. Time = 849/150 = 5.66 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 63 km/h. How far does it travel in 4 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 25/60 = 4.4167 hours. Distance = speed × time = 63 × 4.4167 = 278.25 km.\n</reasoning>\nFinal Answer: 278.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 98 = 4655.0.\n</reasoning>\nFinal Answer: 4655.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 486."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 486 by smallest primes repeatedly: 486 = 2 × 3 × 3 × 3 × 3 × 3.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 3 × 3 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 7 + 47 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×7=308 and 47×6=282, then add: 590.\n</reasoning>\nFinal Answer: 590"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 832 + 233"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 832 and 233: 832 + 233 = 1065.\n</reasoning>\nFinal Answer: 1065"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -569 × 69"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -569 by 69: -569 × 69 = -39261.\n</reasoning>\nFinal Answer: -39261"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×2)/1 = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 21, 98, 9, 85, 97, 70, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 480/8 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 + 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/18 + 5/6. Common denominator = 6. Result = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 166 - -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from 166: 166 - -21 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 42, 49, 85, 12, 94, 82, 73, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 558/9 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -152 ÷ -199"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -152 by -199. -152 ÷ -199 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 8, 13, 15] and B = [3, 6, 11], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 6, 8, 11, 13, 15].\n</reasoning>\nFinal Answer: [1, 3, 5, 6, 8, 11, 13, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 79, 61, 1, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 1 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -235 + -726"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -235 and -726: -235 + -726 = -961.\n</reasoning>\nFinal Answer: -961"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 23 * 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×2=46, then 25+46-35=36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 127 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 127 × (1 + 7/100) = 127 × 1.07 = 135.89.\n</reasoning>\nFinal Answer: 135.89"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 146 and 190."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(146,190) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -659 - 274"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 274 from -659: -659 - 274 = -933.\n</reasoning>\nFinal Answer: -933"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:34 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/34, so B = A × (34/44) = 47 × 34/44 = 36.3182.\n</reasoning>\nFinal Answer: 36.3182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 77 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 77 × (1 - 20/100) = 77 × 0.8 = 61.6.\n</reasoning>\nFinal Answer: 61.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 24, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 24 + 37 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -932 mod -260"
},
{
"role": "assistant",
"content": "<reasoning>\n-932 mod -260: -932 = -260 × 3 + -152, so remainder = -152.\n</reasoning>\nFinal Answer: -152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 12 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 42/60 = 12.7000 hours. Distance = speed × time = 105 × 12.7000 = 1333.5 km.\n</reasoning>\nFinal Answer: 1333.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "137 is what percentage of 529?"
},
{
"role": "assistant",
"content": "<reasoning>\n(137/529) × 100 = 25.8979%.\n</reasoning>\nFinal Answer: 25.8979%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 19 = -173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 24x = -192. Divide by 24: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 31, 26, 25, 26, 96, 13, 10, 36, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 13, 18, 25, 26, 26, 31, 36, 76, 96]. Middle value(s) → median = 26.0.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 13, 14, 15, 17, 18] and B = [1, 2, 3, 8, 10, 11, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 15,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:17 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/17, so B = A × (17/23) = 78 × 17/23 = 57.6522.\n</reasoning>\nFinal Answer: 57.6522"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1295. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1295 × 5/100 = 64.75. Total = 1295 + 64.75 = 1359.75.\n</reasoning>\nFinal Answer: 1359.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 37 + 37 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×37=1665 and 37×11=407, then add: 2072.\n</reasoning>\nFinal Answer: 2072"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "294 is what percentage of 375?"
},
{
"role": "assistant",
"content": "<reasoning>\n(294/375) × 100 = 78.4%.\n</reasoning>\nFinal Answer: 78.4%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 378 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 378 × (1 + 65/100) = 378 × 1.65 = 623.7.\n</reasoning>\nFinal Answer: 623.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 2, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (23-1)×2 = 11 + 44 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -537 × -342"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -537 by -342: -537 × -342 = 183654.\n</reasoning>\nFinal Answer: 183654"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 100, 6, 14, 19, 68, 19, 18, 99, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 14, 18, 19, 19, 36, 65, 68, 99, 100]. Middle value(s) → median = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 39 = -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 6x = -228. Divide by 6: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [60, 13, 93, 24, 7, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 13, 24, 60, 90, 93]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 13, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (42-1)×13 = 28 + 533 = 561.\n</reasoning>\nFinal Answer: 561"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 311 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 311 × (1 + 75/100) = 311 × 1.75 = 544.25.\n</reasoning>\nFinal Answer: 544.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 8 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(8+54) = 2×62 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 109 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(109,20) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -8 = -372"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 28x = -364. Divide by 28: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 5 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 10 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(10+48) = 2×58 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 22 * 1 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×1=22, then 3+22-2=23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 166 apples and buys 116 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 166 + 116 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 31, 13, 93, 71, 47, 85, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 31: 1, 13: 1, 93: 1, 71: 1, 47: 1, 85: 1, 51: 1}. Most frequent: [97, 31, 13, 93, 71, 47, 85, 51].\n</reasoning>\nFinal Answer: [97, 31,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 10, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (21-1)×10 = 44 + 200 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 12, 13, 14, 18] and B = [1, 2, 8, 11, 13, 14, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 13, 14].\n</reasoning>\nFinal Answer: [8, 13, 14]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 124 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(124,22) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 58, 31, 42, 14, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 14, 31, 42, 57, 58]. Middle value(s) → median = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"statistics",
"median"
] |
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