messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [6, 25, 100, 9, 21, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 6 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 - 7/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/8 - 7/13. LCD = 13. Result = 6/13.\n</reasoning>\nFinal Answer: 6/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 17?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 17 = (80/100) × 17 = 13.6.\n</reasoning>\nFinal Answer: 13.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 30% of 361?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 361 = (30/100) × 361 = 108.3.\n</reasoning>\nFinal Answer: 108.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 75 apples and buys 21 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 75 + 21 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 9, 18] and B = [2, 8, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 8, 9, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 8, 9,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 100 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(100+80) = 2×180 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 911 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 911 × (1 + 100/100) = 911 × 2.0 = 1822.0.\n</reasoning>\nFinal Answer: 1822.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 27 = 553.5.\n</reasoning>\nFinal Answer: 553.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 21 = 486"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 15x = 465. Divide by 15: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:17 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/17, so B = A × (17/7) = 69 × 17/7 = 167.5714.\n</reasoning>\nFinal Answer: 167.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 19 = 1691.\n</reasoning>\nFinal Answer: 1691"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 115 and 118."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(115,118) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 499 ÷ -960"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 499 by -960. 499 ÷ -960 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 - 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/6 - 13/19. LCD = 19. Result = 25/19.\n</reasoning>\nFinal Answer: 25/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 14 × 806"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 14 by 806: 14 × 806 = 11284.\n</reasoning>\nFinal Answer: 11284"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 15/1. LCD = 7. Result = -102/7.\n</reasoning>\nFinal Answer: -102/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 518 × -922"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 518 by -922: 518 × -922 = -477596.\n</reasoning>\nFinal Answer: -477596"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -718 + -412"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -718 and -412: -718 + -412 = -1130.\n</reasoning>\nFinal Answer: -1130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 77 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(77,34) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 76 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 76 × (1 + 10/100) = 76 × 1.1 = 83.6.\n</reasoning>\nFinal Answer: 83.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 9, 12, 14] and B = [2, 9, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 278 - -706"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -706 from 278: 278 - -706 = 984.\n</reasoning>\nFinal Answer: 984"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 43) * (47 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+43)=50, (47-14)=33, then 50×33=1650.\n</reasoning>\nFinal Answer: 1650"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 12 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 51/60 = 12.8500 hours. Distance = speed × time = 150 × 12.8500 = 1927.5 km.\n</reasoning>\nFinal Answer: 1927.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:24 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/24, so B = A × (24/2) = 42 × 24/2 = 504.0.\n</reasoning>\nFinal Answer: 504.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -8 mod 440"
},
{
"role": "assistant",
"content": "<reasoning>\n-8 mod 440: -8 = 440 × -1 + 432, so remainder = 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 - 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/14 - 1/11. LCD = 154. Result = 19/154.\n</reasoning>\nFinal Answer: 19/154"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 45 + 6 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×45=495 and 6×45=270, then add: 765.\n</reasoning>\nFinal Answer: 765"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -625 mod -121"
},
{
"role": "assistant",
"content": "<reasoning>\n-625 mod -121: -625 = -121 × 5 + -20, so remainder = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 * 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/20) × (14/19) = (182/380) = 91/190 after simplification.\n</reasoning>\nFinal Answer: 91/190"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 9, 14, 15, 16, 18] and B = [1, 3, 4, 5, 9, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 7, 13, 14, 15, 16, 18].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 50) * (11 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+50)=82, (11-46)=-35, then 82×-35=-2870.\n</reasoning>\nFinal Answer: -2870"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 25 = 1069"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 29x = 1044. Divide by 29: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 428 km apart. Their speeds are 92 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+44=136 km/h. Time = 428/136 = 3.1471 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 11, 17] and B = [6, 15, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 6, 7, 11, 15, 16, 17].\n</reasoning>\nFinal Answer: [5, 6, 7, 11, 15, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -50 = -155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 21x = -105. Divide by 21: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -31 = -677"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 19x = -646. Divide by 19: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+42) = 2×126 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 52 - -662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -662 from 52: 52 - -662 = 714.\n</reasoning>\nFinal Answer: 714"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 436 mod -499"
},
{
"role": "assistant",
"content": "<reasoning>\n436 mod -499: 436 = -499 × -1 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -248 - -961"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -961 from -248: -248 - -961 = 713.\n</reasoning>\nFinal Answer: 713"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 38, 77, 18, 36, 22, 53, 47, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 38: 1, 77: 1, 18: 1, 36: 1, 22: 1, 53: 1, 47: 1, 37: 1}. Most frequent: [87, 38, 77, 18, 36, 22, 53, 47, 37].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×41)/1 = 1763.\n</reasoning>\nFinal Answer: 1763"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 175 km/h. How far does it travel in 9 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 19/60 = 9.3167 hours. Distance = speed × time = 175 × 9.3167 = 1630.4167 km.\n</reasoning>\nFinal Answer: 1630.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 361 ÷ -374"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 361 by -374. 361 ÷ -374 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 493?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 493 = (100/100) × 493 = 493.0.\n</reasoning>\nFinal Answer: 493.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 50% of 134?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 134 = (50/100) × 134 = 67.0.\n</reasoning>\nFinal Answer: 67.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 12, 17, 18, 19] and B = [5, 6, 7, 9, 14, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 7, 9, 12, 14, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 21 = -379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 25x = -400. Divide by 25: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 306 × 65"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 306 by 65: 306 × 65 = 19890.\n</reasoning>\nFinal Answer: 19890"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 28?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 28 = (45/100) × 28 = 12.6.\n</reasoning>\nFinal Answer: 12.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 471 × -409"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 471 by -409: 471 × -409 = -192639.\n</reasoning>\nFinal Answer: -192639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 465 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 465 × (1 - 45/100) = 465 × 0.55 = 255.75.\n</reasoning>\nFinal Answer: 255.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 80 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 80 × 49 = 3920.\n</reasoning>\nFinal Answer: 3920"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 11 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 10/60 = 11.1667 hours. Distance = speed × time = 124 × 11.1667 = 1384.6667 km.\n</reasoning>\nFinal Answer: 1384.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 21, 94, 32, 26, 87, 77, 17, 75, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 501/10 = 50.1.\n</reasoning>\nFinal Answer: 50.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -195 ÷ -696"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -195 by -696. -195 ÷ -696 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 18 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+18) × 45 = 990.0.\n</reasoning>\nFinal Answer: 990.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 134 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 134 × (1 + 15/100) = 134 × 1.15 = 154.1.\n</reasoning>\nFinal Answer: 154.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:19 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/19, so B = A × (19/33) = 60 × 19/33 = 34.5455.\n</reasoning>\nFinal Answer: 34.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 39) * (32 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+39)=49, (32-46)=-14, then 49×-14=-686.\n</reasoning>\nFinal Answer: -686"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 75 = 5250.\n</reasoning>\nFinal Answer: 5250"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:35 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/35, so B = A × (35/21) = 7 × 35/21 = 11.6667.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 351 km apart. Their speeds are 103 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+80=183 km/h. Time = 351/183 = 1.918 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 87 = 6699.\n</reasoning>\nFinal Answer: 6699"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 13 + 20 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×13=208 and 20×7=140, then add: 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 92, 45, 68, 44, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 92: 1, 45: 1, 68: 1, 44: 1, 2: 1}. Most frequent: [40, 92, 45, 68, 44, 2].\n</reasoning>\nFinal Answer: [40, 92, 45, 68, 44, 2]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 46, 21 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (46+21) × 19 = 636.5.\n</reasoning>\nFinal Answer: 636.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 17% of 420?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 420 = (17/100) × 420 = 71.4.\n</reasoning>\nFinal Answer: 71.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 2, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (14-1)×2 = 29 + 26 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "449 is what percentage of 665?"
},
{
"role": "assistant",
"content": "<reasoning>\n(449/665) × 100 = 67.5188%.\n</reasoning>\nFinal Answer: 67.5188%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "542 is what percentage of 922?"
},
{
"role": "assistant",
"content": "<reasoning>\n(542/922) × 100 = 58.7852%.\n</reasoning>\nFinal Answer: 58.7852%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -950 - -949"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -949 from -950: -950 - -949 = -1.\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 * 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/17) × (4/2) = (28/34) = 14/17 after simplification.\n</reasoning>\nFinal Answer: 14/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 92 = 2622.0.\n</reasoning>\nFinal Answer: 2622.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 47 = 647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 20x = 600. Divide by 20: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [9, 11, 13, 17] and B = [1, 7, 8, 9, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 7, 8, 9, 11, 13, 17, 18].\n</reasoning>\nFinal Answer: [1, 7, 8, 9, 11, 13, 17, 18]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 70% of 111?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 111 = (70/100) × 111 = 77.7.\n</reasoning>\nFinal Answer: 77.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 12, 17, 19] and B = [5, 7, 9, 12, 13, 14, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 17, 19].\n</reasoning>\nFinal Answer: [1, 6, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -253 mod -783"
},
{
"role": "assistant",
"content": "<reasoning>\n-253 mod -783: -253 = -783 × 0 + -253, so remainder = -253.\n</reasoning>\nFinal Answer: -253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:35 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/35, so B = A × (35/5) = 16 × 35/5 = 112.0.\n</reasoning>\nFinal Answer: 112.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 614 × -462"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 614 by -462: 614 × -462 = -283668.\n</reasoning>\nFinal Answer: -283668"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 9 * 6 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×6=54, then 49+54-46=57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 7 = -357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 28x = -364. Divide by 28: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "149 is what percentage of 275?"
},
{
"role": "assistant",
"content": "<reasoning>\n(149/275) × 100 = 54.1818%.\n</reasoning>\nFinal Answer: 54.1818%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 16, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (16-1)×16 = 4 + 240 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 163 ÷ 112"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 163 by 112. 163 ÷ 112 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 * 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/17) × (20/6) = (20/102) = 10/51 after simplification.\n</reasoning>\nFinal Answer: 10/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×37)/1 = 1480.\n</reasoning>\nFinal Answer: 1480"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 20% of 871?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 871 = (20/100) × 871 = 174.2.\n</reasoning>\nFinal Answer: 174.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 - 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/6 - 12/5. LCD = 15. Result = -31/15.\n</reasoning>\nFinal Answer: -31/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -887 + -411"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -887 and -411: -887 + -411 = -1298.\n</reasoning>\nFinal Answer: -1298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 + 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/17 + 20/2. Common denominator = 17. Result = 183/17.\n</reasoning>\nFinal Answer: 183/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 18 + 38 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×18=216 and 38×13=494, then add: 710.\n</reasoning>\nFinal Answer: 710"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 479 - -869"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -869 from 479: 479 - -869 = 1348.\n</reasoning>\nFinal Answer: 1348"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 * 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/9) × (8/10) = (152/90) = 76/45 after simplification.\n</reasoning>\nFinal Answer: 76/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 632 + 118"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 632 and 118: 632 + 118 = 750.\n</reasoning>\nFinal Answer: 750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 14?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 14 = (80/100) × 14 = 11.2.\n</reasoning>\nFinal Answer: 11.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 755 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 755 × (1 - 75/100) = 755 × 0.25 = 188.75.\n</reasoning>\nFinal Answer: 188.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
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