messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 421 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 421 × (1 + 80/100) = 421 × 1.8 = 757.8.\n</reasoning>\nFinal Answer: 757.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -745 - -314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -314 from -745: -745 - -314 = -431.\n</reasoning>\nFinal Answer: -431"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 987?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 987 = (17/100) × 987 = 167.79.\n</reasoning>\nFinal Answer: 167.79"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹406. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 406 × 12/100 = 48.72. Total = 406 + 48.72 = 454.72.\n</reasoning>\nFinal Answer: 454.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "33 is what percentage of 115?"
},
{
"role": "assistant",
"content": "<reasoning>\n(33/115) × 100 = 28.6957%.\n</reasoning>\nFinal Answer: 28.6957%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 - 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/10 - 9/16. LCD = 80. Result = 19/80.\n</reasoning>\nFinal Answer: 19/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 383 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 383 × (1 + 80/100) = 383 × 1.8 = 689.4.\n</reasoning>\nFinal Answer: 689.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 284 ÷ -345"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 284 by -345. 284 ÷ -345 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 19 = -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 17x = -238. Divide by 17: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -854 mod -499"
},
{
"role": "assistant",
"content": "<reasoning>\n-854 mod -499: -854 = -499 × 1 + -355, so remainder = -355.\n</reasoning>\nFinal Answer: -355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 25, 17, 45, 17, 45, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 203/7 = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 100 ÷ -964"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 100 by -964. 100 ÷ -964 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 7 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 1/60 = 7.0167 hours. Distance = speed × time = 114 × 7.0167 = 799.9 km.\n</reasoning>\nFinal Answer: 799.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -313 + 69"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -313 and 69: -313 + 69 = -244.\n</reasoning>\nFinal Answer: -244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 5 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(5,38) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [48, 50, 71, 15, 68, 42, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 15 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 8, 48, 34, 75, 79, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 32, 34, 48, 75, 79, 100]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 10 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 35/60 = 10.5833 hours. Distance = speed × time = 56 × 10.5833 = 592.6667 km.\n</reasoning>\nFinal Answer: 592.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:3 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/3, so B = A × (3/35) = 36 × 3/35 = 3.0857.\n</reasoning>\nFinal Answer: 3.0857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 7 + 14 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×7=84 and 14×6=84, then add: 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 12 = 540"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 24x = 528. Divide by 24: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 885 - -694"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -694 from 885: 885 - -694 = 1579.\n</reasoning>\nFinal Answer: 1579"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "29 is what percentage of 873?"
},
{
"role": "assistant",
"content": "<reasoning>\n(29/873) × 100 = 3.3219%.\n</reasoning>\nFinal Answer: 3.3219%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 11 * 25 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×25=275, then 5+275-19=261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 33 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 17+1089-7=1099.\n</reasoning>\nFinal Answer: 1099"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -17 = 280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 9x = 297. Divide by 9: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 9 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 29/60 = 9.4833 hours. Distance = speed × time = 186 × 9.4833 = 1763.9 km.\n</reasoning>\nFinal Answer: 1763.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 33 and 128."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(33,128) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 254 km apart. Their speeds are 59 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+82=141 km/h. Time = 254/141 = 1.8014 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -757 + 830"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -757 and 830: -757 + 830 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 879 km apart. Their speeds are 44 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+41=85 km/h. Time = 879/85 = 10.3412 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:30 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/30, so B = A × (30/13) = 93 × 30/13 = 214.6154.\n</reasoning>\nFinal Answer: 214.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34946 at 5% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34946 × 5 × 6 / 100 = 10483.8.\n</reasoning>\nFinal Answer: 10483.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 7, 73, 26, 3, 73, 100, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 3 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-4)x + (-16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×2×-16 = 144. √discriminant = 12. x = (-(-4) ± 12) / (2×2). Solutions: x = -2 or x = 4.\n</reasoning>\nFinal Answer: x = -2 or x = 4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 114 apples and buys 182 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 114 + 182 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 813 - -305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -305 from 813: 813 - -305 = 1118.\n</reasoning>\nFinal Answer: 1118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 288 mod 921"
},
{
"role": "assistant",
"content": "<reasoning>\n288 mod 921: 288 = 921 × 0 + 288, so remainder = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 18 * 20 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×20=360, then 41+360-28=373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 46 apples and buys 40 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 46 + 40 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 721 ÷ -15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 721 by -15. 721 ÷ -15 = -49 (integer division).\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 22 * 44 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×44=968, then 45+968-25=988.\n</reasoning>\nFinal Answer: 988"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -32 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 3x = -18. Divide by 3: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -27 = 708"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 21x = 735. Divide by 21: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 99 = 3564.0.\n</reasoning>\nFinal Answer: 3564.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -498 - 89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 89 from -498: -498 - 89 = -587.\n</reasoning>\nFinal Answer: -587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "74 is what percentage of 896?"
},
{
"role": "assistant",
"content": "<reasoning>\n(74/896) × 100 = 8.2589%.\n</reasoning>\nFinal Answer: 8.2589%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 21 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 21 × 48 = 1008.\n</reasoning>\nFinal Answer: 1008"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4525. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4525 × 12/100 = 543.0. Total = 4525 + 543.0 = 5068.0.\n</reasoning>\nFinal Answer: 5068.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 * 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/11) × (15/5) = (225/55) = 45/11 after simplification.\n</reasoning>\nFinal Answer: 45/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 27, 27, 13, 57, 20, 95, 61, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 439/9 = 48.7778.\n</reasoning>\nFinal Answer: 48.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (20)x + (48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×2×48 = 16. √discriminant = 4. x = (-(20) ± 4) / (2×2). Solutions: x = -6 or x = -4.\n</reasoning>\nFinal Answer: x = -6 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 80% of 693?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 693 = (80/100) × 693 = 554.4.\n</reasoning>\nFinal Answer: 554.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -493 - -936"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -936 from -493: -493 - -936 = 443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 49 * 40 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×40=1960, then 44+1960-13=1991.\n</reasoning>\nFinal Answer: 1991"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 44 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 44 × 89 = 3916.\n</reasoning>\nFinal Answer: 3916"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 55 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(55+16) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -30 = -94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 8x = -64. Divide by 8: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 26, 31, 25, 80, 34, 29, 87, 75, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 24 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 13, 14, 15, 17] and B = [1, 6, 7, 11], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6].\n</reasoning>\nFinal Answer: [6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -299 mod 116"
},
{
"role": "assistant",
"content": "<reasoning>\n-299 mod 116: -299 = 116 × -3 + 49, so remainder = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 137 and 62."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(137,62) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [81, 68, 40, 85, 68, 26, 59, 84, 10, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 10 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 37 = -61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 14x = -98. Divide by 14: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 52 = 2288.\n</reasoning>\nFinal Answer: 2288"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 80 = 2800.\n</reasoning>\nFinal Answer: 2800"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 6) * (21 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+6)=41, (21-5)=16, then 41×16=656.\n</reasoning>\nFinal Answer: 656"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 482 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 482 × (1 - 20/100) = 482 × 0.8 = 385.6.\n</reasoning>\nFinal Answer: 385.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 * 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/4) × (17/18) = (323/72) = 323/72 after simplification.\n</reasoning>\nFinal Answer: 323/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "153 is what percentage of 241?"
},
{
"role": "assistant",
"content": "<reasoning>\n(153/241) × 100 = 63.4855%.\n</reasoning>\nFinal Answer: 63.4855%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 11 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+11) × 25 = 475.0.\n</reasoning>\nFinal Answer: 475.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 184 mod -546"
},
{
"role": "assistant",
"content": "<reasoning>\n184 mod -546: 184 = -546 × -1 + -362, so remainder = -362.\n</reasoning>\nFinal Answer: -362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "443 is what percentage of 808?"
},
{
"role": "assistant",
"content": "<reasoning>\n(443/808) × 100 = 54.8267%.\n</reasoning>\nFinal Answer: 54.8267%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "221 is what percentage of 822?"
},
{
"role": "assistant",
"content": "<reasoning>\n(221/822) × 100 = 26.8856%.\n</reasoning>\nFinal Answer: 26.8856%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+59) = 2×83 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 1 = -149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 15x = -150. Divide by 15: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 11, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (25-1)×11 = 12 + 264 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 47, 57, 49, 74, 26, 61, 63, 50, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 47: 1, 57: 1, 49: 1, 74: 1, 26: 1, 61: 1, 63: 1, 50: 1, 27: 1}. Most frequent: [32, 47, 57, 49, 74, 26, 61, 63, 50, 27].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -904 mod -317"
},
{
"role": "assistant",
"content": "<reasoning>\n-904 mod -317: -904 = -317 × 2 + -270, so remainder = -270.\n</reasoning>\nFinal Answer: -270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 47 + 21 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×47=1034 and 21×8=168, then add: 1202.\n</reasoning>\nFinal Answer: 1202"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 5 apples and buys 143 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 5 + 143 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 - 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 2/13. LCD = 39. Result = 20/39.\n</reasoning>\nFinal Answer: 20/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:13 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/13, so B = A × (13/41) = 73 × 13/41 = 23.1463.\n</reasoning>\nFinal Answer: 23.1463"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 18, 14, 8, 20, 98, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 270/7 = 38.5714.\n</reasoning>\nFinal Answer: 38.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 45 = 292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 13x = 247. Divide by 13: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 / 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/5) ÷ (20/4) = (7/5) × (4/20) = 7/25.\n</reasoning>\nFinal Answer: 7/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 34 * 47 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×47=1598, then 34+1598-44=1588.\n</reasoning>\nFinal Answer: 1588"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 50 * 50 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×50=2500, then 4+2500-12=2492.\n</reasoning>\nFinal Answer: 2492"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -624 + 771"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -624 and 771: -624 + 771 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 18 = 228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 6x = 210. Divide by 6: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 20, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 20 + 33 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:43 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/43, so B = A × (43/31) = 11 × 43/31 = 15.2581.\n</reasoning>\nFinal Answer: 15.2581"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 592 - -342"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -342 from 592: 592 - -342 = 934.\n</reasoning>\nFinal Answer: 934"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 345 × -473"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 345 by -473: 345 × -473 = -163185.\n</reasoning>\nFinal Answer: -163185"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 15 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 7x = 35. Divide by 7: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:45 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/45, so B = A × (45/36) = 7 × 45/36 = 8.75.\n</reasoning>\nFinal Answer: 8.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 71 apples and buys 148 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 71 + 148 = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:50 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/50, so B = A × (50/42) = 46 × 50/42 = 54.7619.\n</reasoning>\nFinal Answer: 54.7619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -188 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from -188: -188 - 5 = -193.\n</reasoning>\nFinal Answer: -193"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -796 mod -753"
},
{
"role": "assistant",
"content": "<reasoning>\n-796 mod -753: -796 = -753 × 1 + -43, so remainder = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"arithmetic",
"computation"
] |
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