messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+62) = 2×136 = 272.\n</reasoning>\nFinal Answer: 272"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -325 + 402"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -325 and 402: -325 + 402 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 6 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 2x = -10. Divide by 2: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -587 × 64"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -587 by 64: -587 × 64 = -37568.\n</reasoning>\nFinal Answer: -37568"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -39 = -364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 13x = -325. Divide by 13: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 27 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 27 = 243 worker-days. New time = 243 / 8 = 30.375 days.\n</reasoning>\nFinal Answer: 30.375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 + 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/5 + 18/4. Common denominator = 2. Result = 11/2.\n</reasoning>\nFinal Answer: 11/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 29) * (6 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+29)=62, (6-25)=-19, then 62×-19=-1178.\n</reasoning>\nFinal Answer: -1178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×45)/9 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -45 = 835"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 22x = 880. Divide by 22: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 29, 29, and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 29 + 29 + 29 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 14 - -164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -164 from 14: 14 - -164 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 * 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/13) × (4/5) = (52/65) = 4/5 after simplification.\n</reasoning>\nFinal Answer: 4/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 698 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 698 × (1 - 70/100) = 698 × 0.30000000000000004 = 209.4.\n</reasoning>\nFinal Answer: 209.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 867 - 773"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 773 from 867: 867 - 773 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 / 14/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/17) ÷ (14/18) = (6/17) × (18/14) = 54/119.\n</reasoning>\nFinal Answer: 54/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 56, 45, 5, 17, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 5 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 48, 64, 95, 96, 19, 94, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 530/8 = 66.25.\n</reasoning>\nFinal Answer: 66.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -23 = 39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 2x = 62. Divide by 2: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30625 at 1% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30625 × 1 × 2 / 100 = 612.5.\n</reasoning>\nFinal Answer: 612.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 14, 65, 70, 23, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 328/6 = 54.6667.\n</reasoning>\nFinal Answer: 54.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 11, 18] and B = [7, 8, 10, 11, 12, 13, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 11].\n</reasoning>\nFinal Answer: [8, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 43 + 5 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×43=2150 and 5×42=210, then add: 2360.\n</reasoning>\nFinal Answer: 2360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "192 is what percentage of 789?"
},
{
"role": "assistant",
"content": "<reasoning>\n(192/789) × 100 = 24.3346%.\n</reasoning>\nFinal Answer: 24.3346%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 3, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (29-1)×3 = 16 + 84 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 / 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/9) ÷ (1/14) = (5/9) × (14/1) = 70/9.\n</reasoning>\nFinal Answer: 70/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -33 = 1317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 30x = 1350. Divide by 30: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 71, 45, 83, 93, 39, 37, 27, 16, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 71: 1, 45: 1, 83: 1, 93: 1, 39: 1, 37: 1, 27: 1, 16: 1, 67: 1}. Most frequent: [81, 71, 45, 83, 93, 39, 37, 27, 16, 67].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -38 = 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 6x = 90. Divide by 6: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 6 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 6 = 102 worker-days. New time = 102 / 2 = 51.0 days.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -492 ÷ -832"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -492 by -832. -492 ÷ -832 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 514 ÷ -721"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 514 by -721. 514 ÷ -721 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 38) * (43 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+38)=80, (43-29)=14, then 80×14=1120.\n</reasoning>\nFinal Answer: 1120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×23)/1 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:11 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/11, so B = A × (11/37) = 58 × 11/37 = 17.2432.\n</reasoning>\nFinal Answer: 17.2432"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 20% of 973?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 973 = (20/100) × 973 = 194.6.\n</reasoning>\nFinal Answer: 194.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 12, 15, 16, 17] and B = [7, 12, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 12].\n</reasoning>\nFinal Answer: [7, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 * 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/15) × (16/5) = (128/75) = 128/75 after simplification.\n</reasoning>\nFinal Answer: 128/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 7 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 7 × (1 - 25/100) = 7 × 0.75 = 5.25.\n</reasoning>\nFinal Answer: 5.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 3 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 53/60 = 3.8833 hours. Distance = speed × time = 164 × 3.8833 = 636.8667 km.\n</reasoning>\nFinal Answer: 636.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 48, 82, 54, 15, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 15 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 40% of 466?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 466 = (40/100) × 466 = 186.4.\n</reasoning>\nFinal Answer: 186.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -7 = -826"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 21x = -819. Divide by 21: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 75 and 129."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(75,129) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 34, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 34 + 34 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 261 + -108"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 261 and -108: 261 + -108 = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:5 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/5, so B = A × (5/13) = 15 × 5/13 = 5.7692.\n</reasoning>\nFinal Answer: 5.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7026 at 2% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7026 × 2 × 9 / 100 = 1264.68.\n</reasoning>\nFinal Answer: 1264.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 + 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/15 + 3/16. Common denominator = 240. Result = 349/240.\n</reasoning>\nFinal Answer: 349/240"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 11 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 31+121-43=109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [35, 68, 8, 49, 80, 100, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 8 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 / 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/18) ÷ (1/9) = (9/18) × (9/1) = 9/2.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:5 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/5, so B = A × (5/10) = 35 × 5/10 = 17.5.\n</reasoning>\nFinal Answer: 17.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 815 - 214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 214 from 815: 815 - 214 = 601.\n</reasoning>\nFinal Answer: 601"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+41) = 2×48 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35043 at 16% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35043 × 16 × 3 / 100 = 16820.64.\n</reasoning>\nFinal Answer: 16820.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "113 is what percentage of 840?"
},
{
"role": "assistant",
"content": "<reasoning>\n(113/840) × 100 = 13.4524%.\n</reasoning>\nFinal Answer: 13.4524%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 65% of 555?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 555 = (65/100) × 555 = 360.75.\n</reasoning>\nFinal Answer: 360.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 12, 13, 16, 17] and B = [1, 4, 8], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 73, 79, 62, 46, 50, 4, 28, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 506/9 = 56.2222.\n</reasoning>\nFinal Answer: 56.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -392 - -681"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -681 from -392: -392 - -681 = 289.\n</reasoning>\nFinal Answer: 289"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:49 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/49, so B = A × (49/12) = 7 × 49/12 = 28.5833.\n</reasoning>\nFinal Answer: 28.5833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 6) * (14 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+6)=50, (14-19)=-5, then 50×-5=-250.\n</reasoning>\nFinal Answer: -250"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 30, 81, 73, 18, 1, 74, 94, 77, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 30: 1, 81: 1, 73: 1, 18: 1, 1: 1, 74: 1, 94: 1, 77: 1, 4: 1}. Most frequent: [32, 30, 81, 73, 18, 1, 74, 94, 77, 4].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 47) * (36 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+47)=84, (36-27)=9, then 84×9=756.\n</reasoning>\nFinal Answer: 756"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 3 * 11 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×11=33, then 43+33-45=31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 38 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 38 = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 48 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+48) × 26 = 897.0.\n</reasoning>\nFinal Answer: 897.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 4 = 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 2x = 98. Divide by 2: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 57 and 127."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(57,127) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 2/9 - 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/9 - 6/5. LCD = 45. Result = -44/45.\n</reasoning>\nFinal Answer: -44/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 7, 9, 10, 13] and B = [3, 6, 9, 11, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 6, 7, 9, 10, 11, 12, 13].\n</reasoning>\nFinal Answer: [2, 3, 5, 6, 7, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 18 = 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 7x = 84. Divide by 7: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 47, 20, 16, 29, 77, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 16 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 313 + -903"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 313 and -903: 313 + -903 = -590.\n</reasoning>\nFinal Answer: -590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 749 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 749 × (1 + 100/100) = 749 × 2.0 = 1498.0.\n</reasoning>\nFinal Answer: 1498.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 * 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/15) × (17/19) = (221/285) = 221/285 after simplification.\n</reasoning>\nFinal Answer: 221/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 886 km apart. Their speeds are 108 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+118=226 km/h. Time = 886/226 = 3.9204 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 174 km/h. How far does it travel in 5 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 5/60 = 5.0833 hours. Distance = speed × time = 174 × 5.0833 = 884.5 km.\n</reasoning>\nFinal Answer: 884.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 185 and 144."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(185,144) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:2 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/2, so B = A × (2/17) = 31 × 2/17 = 3.6471.\n</reasoning>\nFinal Answer: 3.6471"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 74 = 3256.0.\n</reasoning>\nFinal Answer: 3256.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "438 is what percentage of 517?"
},
{
"role": "assistant",
"content": "<reasoning>\n(438/517) × 100 = 84.7195%.\n</reasoning>\nFinal Answer: 84.7195%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -42 mod 602"
},
{
"role": "assistant",
"content": "<reasoning>\n-42 mod 602: -42 = 602 × -1 + 560, so remainder = 560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 / 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/9) ÷ (18/12) = (6/9) × (12/18) = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -997 ÷ 754"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -997 by 754. -997 ÷ 754 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:50 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/50, so B = A × (50/31) = 18 × 50/31 = 29.0323.\n</reasoning>\nFinal Answer: 29.0323"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×29)/1 = 928.\n</reasoning>\nFinal Answer: 928"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 89 - 538"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 538 from 89: 89 - 538 = -449.\n</reasoning>\nFinal Answer: -449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -11 = -586"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 23x = -575. Divide by 23: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/6 * 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/6) × (14/3) = (112/18) = 56/9 after simplification.\n</reasoning>\nFinal Answer: 56/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:14 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/14, so B = A × (14/10) = 60 × 14/10 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -152 - 622"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 622 from -152: -152 - 622 = -774.\n</reasoning>\nFinal Answer: -774"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 874 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 874 × (1 - 50/100) = 874 × 0.5 = 437.0.\n</reasoning>\nFinal Answer: 437.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 20, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (47-1)×20 = 39 + 920 = 959.\n</reasoning>\nFinal Answer: 959"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 34 = 84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 1x = 50. Divide by 1: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 60 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 67, 74, 81, 100, 70, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [33, 47, 67, 70, 74, 81, 100]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 72 = 3816.\n</reasoning>\nFinal Answer: 3816"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 71 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 71 × 16 = 1136.\n</reasoning>\nFinal Answer: 1136"
}
] | easy | [
"geometry",
"area"
] |
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