messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 48 = 3216.\n</reasoning>\nFinal Answer: 3216"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×14)/1 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 90, 94, 41, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 329/5 = 65.8.\n</reasoning>\nFinal Answer: 65.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:46 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/46, so B = A × (46/16) = 40 × 46/16 = 115.0.\n</reasoning>\nFinal Answer: 115.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 * 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/3) × (1/8) = (15/24) = 5/8 after simplification.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×31)/1 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 - 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/2 - 11/13. LCD = 13. Result = 80/13.\n</reasoning>\nFinal Answer: 80/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 41 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 27 * 43 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×43=1161, then 42+1161-36=1167.\n</reasoning>\nFinal Answer: 1167"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:16 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/16, so B = A × (16/12) = 69 × 16/12 = 92.0.\n</reasoning>\nFinal Answer: 92.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 59 km/h. How far does it travel in 9 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 10/60 = 9.1667 hours. Distance = speed × time = 59 × 9.1667 = 540.8333 km.\n</reasoning>\nFinal Answer: 540.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 24, 35, 10, 44, 82, 49, 16, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 8 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 5% of 109?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 109 = (5/100) × 109 = 5.45.\n</reasoning>\nFinal Answer: 5.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 17 = 273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 16x = 256. Divide by 16: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 787 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 787 × (1 - 3/100) = 787 × 0.97 = 763.39.\n</reasoning>\nFinal Answer: 763.39"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 710 × -709"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 710 by -709: 710 × -709 = -503390.\n</reasoning>\nFinal Answer: -503390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 152 and 131."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(152,131) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 493 km apart. Their speeds are 88 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+116=204 km/h. Time = 493/204 = 2.4167 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "3 is what percentage of 82?"
},
{
"role": "assistant",
"content": "<reasoning>\n(3/82) × 100 = 3.6585%.\n</reasoning>\nFinal Answer: 3.6585%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 24 + 22 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×24=1056 and 22×3=66, then add: 1122.\n</reasoning>\nFinal Answer: 1122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 12, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (11-1)×12 = 24 + 120 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 80% of 332?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 332 = (80/100) × 332 = 265.6.\n</reasoning>\nFinal Answer: 265.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-30)x + (75) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×3×75 = 0. √discriminant = 0. x = (-(-30) ± 0) / (2×3). Solutions: x = 5 (double root).\n</reasoning>\nFinal Answer: x = 5 (double root... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -841 + -16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -841 and -16: -841 + -16 = -857.\n</reasoning>\nFinal Answer: -857"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "259 is what percentage of 608?"
},
{
"role": "assistant",
"content": "<reasoning>\n(259/608) × 100 = 42.5987%.\n</reasoning>\nFinal Answer: 42.5987%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:10 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/10, so B = A × (10/33) = 48 × 10/33 = 14.5455.\n</reasoning>\nFinal Answer: 14.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 11 = 515"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 24x = 504. Divide by 24: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 22 + 46 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×22=594 and 46×25=1150, then add: 1744.\n</reasoning>\nFinal Answer: 1744"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -7 = 548"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 15x = 555. Divide by 15: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 9 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 9 = 162 worker-days. New time = 162 / 17 = 9.5294 days.\n</reasoning>\nFinal Answer: 9.5294"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 * 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/5) × (14/9) = (56/45) = 56/45 after simplification.\n</reasoning>\nFinal Answer: 56/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 35, 50, 63, 33, 49, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 311/7 = 44.4286.\n</reasoning>\nFinal Answer: 44.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 60 km/h. How far does it travel in 11 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 58/60 = 11.9667 hours. Distance = speed × time = 60 × 11.9667 = 718.0 km.\n</reasoning>\nFinal Answer: 718.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34417 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34417 × 5 × 4 / 100 = 6883.4.\n</reasoning>\nFinal Answer: 6883.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 72, 39, 82, 52, 31, 54, 39, 8, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 8 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 9, 14, 17, 19] and B = [1, 6, 7, 9, 11, 12, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 9].\n</reasoning>\nFinal Answer: [6, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 11, 15, 16, 19] and B = [4, 5, 10, 11, 12, 13, 14, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 5, 10, 11, 12, 13, 14, 15, 16, 19].\n</reasoning>\nFinal Answer: ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -986 + -487"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -986 and -487: -986 + -487 = -1473.\n</reasoning>\nFinal Answer: -1473"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-16)x + (63) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×1×63 = 4. √discriminant = 2. x = (-(-16) ± 2) / (2×1). Solutions: x = 9 or x = 7.\n</reasoning>\nFinal Answer: x = 9 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 33 = -159"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 12x = -192. Divide by 12: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 3) * (23 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+3)=52, (23-4)=19, then 52×19=988.\n</reasoning>\nFinal Answer: 988"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 755 km apart. Their speeds are 61 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+114=175 km/h. Time = 755/175 = 4.3143 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 97 = 3152.5.\n</reasoning>\nFinal Answer: 3152.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 + 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/1 + 9/15. Common denominator = 5. Result = 73/5.\n</reasoning>\nFinal Answer: 73/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 850 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 850 × (1 + 45/100) = 850 × 1.45 = 1232.5.\n</reasoning>\nFinal Answer: 1232.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 24 = 409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 11x = 385. Divide by 11: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 35 + 17 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×35=875 and 17×24=408, then add: 1283.\n</reasoning>\nFinal Answer: 1283"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -445 × 719"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -445 by 719: -445 × 719 = -319955.\n</reasoning>\nFinal Answer: -319955"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 98, 54, 18, 72, 39, 13, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 18, 26, 39, 54, 70, 72, 98]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 79 = 5056.\n</reasoning>\nFinal Answer: 5056"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 8, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (37-1)×8 = 9 + 288 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 88 = 3608.\n</reasoning>\nFinal Answer: 3608"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:17 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/17, so B = A × (17/1) = 48 × 17/1 = 816.0.\n</reasoning>\nFinal Answer: 816.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 4 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 31+16-7=40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34534 at 11% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34534 × 11 × 3 / 100 = 11396.22.\n</reasoning>\nFinal Answer: 11396.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 25 + 46 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×25=1150 and 46×23=1058, then add: 2208.\n</reasoning>\nFinal Answer: 2208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-24)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×2×40 = 256. √discriminant = 16. x = (-(-24) ± 16) / (2×2). Solutions: x = 2 or x = 10.\n</reasoning>\nFinal Answer: x = 2 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 550 km apart. Their speeds are 86 km/h and 46 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+46=132 km/h. Time = 550/132 = 4.1667 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 642 × -714"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 642 by -714: 642 × -714 = -458388.\n</reasoning>\nFinal Answer: -458388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 9 + -128"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 9 and -128: 9 + -128 = -119.\n</reasoning>\nFinal Answer: -119"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -128 + 254"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -128 and 254: -128 + 254 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2959. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2959 × 18/100 = 532.62. Total = 2959 + 532.62 = 3491.62.\n</reasoning>\nFinal Answer: 3491.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:13 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/13, so B = A × (13/48) = 30 × 13/48 = 8.125.\n</reasoning>\nFinal Answer: 8.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 * 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/2) × (14/11) = (140/22) = 70/11 after simplification.\n</reasoning>\nFinal Answer: 70/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:27 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/27, so B = A × (27/36) = 20 × 27/36 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 51, 23, 8, 38, 59, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 23, 38, 51, 59, 91, 93]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 35 = 700.0.\n</reasoning>\nFinal Answer: 700.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 5 = 390.\n</reasoning>\nFinal Answer: 390"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+8) = 2×40 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 19 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 19 = 285 worker-days. New time = 285 / 13 = 21.9231 days.\n</reasoning>\nFinal Answer: 21.9231"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 - 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/8 - 16/6. LCD = 3. Result = -5/3.\n</reasoning>\nFinal Answer: -5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 52, 49, 96, 69, 34, 53, 54, 18, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 507/10 = 50.7.\n</reasoning>\nFinal Answer: 50.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -671 × 64"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -671 by 64: -671 × 64 = -42944.\n</reasoning>\nFinal Answer: -42944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 29 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 40+841-20=861.\n</reasoning>\nFinal Answer: 861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 41, 60, 79, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 19. Next term = 98 + 19 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 452 mod -312"
},
{
"role": "assistant",
"content": "<reasoning>\n452 mod -312: 452 = -312 × -2 + -172, so remainder = -172.\n</reasoning>\nFinal Answer: -172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 255 - 82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 82 from 255: 255 - 82 = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 629 + 142"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 629 and 142: 629 + 142 = 771.\n</reasoning>\nFinal Answer: 771"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 25 = 1275.\n</reasoning>\nFinal Answer: 1275"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -352 ÷ 695"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -352 by 695. -352 ÷ 695 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 52, 95, 77, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 52: 1, 95: 1, 77: 1, 84: 1}. Most frequent: [11, 52, 95, 77, 84].\n</reasoning>\nFinal Answer: [11, 52, 95, 77, 84]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 15% of 270?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 270 = (15/100) × 270 = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 44 = 21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 1x = -23. Divide by 1: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 50 = 306"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 16x = 256. Divide by 16: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 571 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 571 × (1 - 75/100) = 571 × 0.25 = 142.75.\n</reasoning>\nFinal Answer: 142.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -199 - -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from -199: -199 - -43 = -156.\n</reasoning>\nFinal Answer: -156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -779 - -256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -256 from -779: -779 - -256 = -523.\n</reasoning>\nFinal Answer: -523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -8 = 1364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 28x = 1372. Divide by 28: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 27 + 14 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×27=729 and 14×13=182, then add: 911.\n</reasoning>\nFinal Answer: 911"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -342 × 481"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -342 by 481: -342 × 481 = -164502.\n</reasoning>\nFinal Answer: -164502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/18 * 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/18) × (8/18) = (64/324) = 16/81 after simplification.\n</reasoning>\nFinal Answer: 16/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13527 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13527 × 19 × 7 / 100 = 17990.91.\n</reasoning>\nFinal Answer: 17990.91"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -371 + 599"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -371 and 599: -371 + 599 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -6 = -347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 11x = -341. Divide by 11: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 886 × -362"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 886 by -362: 886 × -362 = -320732.\n</reasoning>\nFinal Answer: -320732"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 27 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 11x = -209. Divide by 11: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 81 km/h. How far does it travel in 1 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 40/60 = 1.6667 hours. Distance = speed × time = 81 × 1.6667 = 135.0 km.\n</reasoning>\nFinal Answer: 135.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:9 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/9, so B = A × (9/50) = 33 × 9/50 = 5.94.\n</reasoning>\nFinal Answer: 5.94"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "224 is what percentage of 994?"
},
{
"role": "assistant",
"content": "<reasoning>\n(224/994) × 100 = 22.5352%.\n</reasoning>\nFinal Answer: 22.5352%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -152 ÷ 256"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -152 by 256. -152 ÷ 256 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
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