messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 73 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(73+95) = 2×168 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 84 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 84 × 86 = 3612.0.\n</reasoning>\nFinal Answer: 3612.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/6) ÷ (20/2) = (10/6) × (2/20) = 1/6.\n</reasoning>\nFinal Answer: 1/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4809. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4809 × 18/100 = 865.62. Total = 4809 + 865.62 = 5674.62.\n</reasoning>\nFinal Answer: 5674.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "48 is what percentage of 164?"
},
{
"role": "assistant",
"content": "<reasoning>\n(48/164) × 100 = 29.2683%.\n</reasoning>\nFinal Answer: 29.2683%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -110 + 8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -110 and 8: -110 + 8 = -102.\n</reasoning>\nFinal Answer: -102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 36, 46, 56, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 10. Next term = 66 + 10 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (5)x + (-360) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×5×-360 = 7225. √discriminant = 85. x = (-(5) ± 85) / (2×5). Solutions: x = 8 or x = -9.\n</reasoning>\nFinal Answer: x = 8 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 + 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/18 + 7/7. Common denominator = 18. Result = 31/18.\n</reasoning>\nFinal Answer: 31/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 874 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 874 × (1 - 45/100) = 874 × 0.55 = 480.7.\n</reasoning>\nFinal Answer: 480.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 74 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 74 × (1 - 5/100) = 74 × 0.95 = 70.3.\n</reasoning>\nFinal Answer: 70.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 97 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(97+31) = 2×128 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 354 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 354 × (1 + 30/100) = 354 × 1.3 = 460.2.\n</reasoning>\nFinal Answer: 460.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -915 - -716"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -716 from -915: -915 - -716 = -199.\n</reasoning>\nFinal Answer: -199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 49 = 1141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 28x = 1092. Divide by 28: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 25 + 30 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×25=150 and 30×28=840, then add: 990.\n</reasoning>\nFinal Answer: 990"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 4, 9, 1, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 171/5 = 34.2.\n</reasoning>\nFinal Answer: 34.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 11 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 11 + 49 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 9 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+9) × 38 = 418.0.\n</reasoning>\nFinal Answer: 418.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -2 = -376"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 22x = -374. Divide by 22: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:12 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/12, so B = A × (12/20) = 79 × 12/20 = 47.4.\n</reasoning>\nFinal Answer: 47.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 14 = 14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 22x = 0. Divide by 22: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "322 is what percentage of 342?"
},
{
"role": "assistant",
"content": "<reasoning>\n(322/342) × 100 = 94.152%.\n</reasoning>\nFinal Answer: 94.152%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 5 = 1237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 28x = 1232. Divide by 28: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 / 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/8) ÷ (11/9) = (13/8) × (9/11) = 117/88.\n</reasoning>\nFinal Answer: 117/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 50 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 12+2500-43=2469.\n</reasoning>\nFinal Answer: 2469"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 36 = 701"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 19x = 665. Divide by 19: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 30, 92, 71, 60, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 30, 50, 60, 71, 92]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:27 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/27, so B = A × (27/41) = 49 × 27/41 = 32.2683.\n</reasoning>\nFinal Answer: 32.2683"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 17 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 42+289-9=322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 7, 8, 16, 19] and B = [3, 6, 10, 11, 12, 15, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 7, 8, 10, 11, 12, 15, 16, 17].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:26 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/26, so B = A × (26/45) = 76 × 26/45 = 43.9111.\n</reasoning>\nFinal Answer: 43.9111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 32 = 48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 4x = 16. Divide by 4: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 / 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/3) ÷ (10/19) = (18/3) × (19/10) = 57/5.\n</reasoning>\nFinal Answer: 57/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:42 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/42, so B = A × (42/12) = 12 × 42/12 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 4 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 42/60 = 4.7000 hours. Distance = speed × time = 69 × 4.7000 = 324.3 km.\n</reasoning>\nFinal Answer: 324.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 1 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 33+1-40=-6.\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 + 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/8 + 8/15. Common denominator = 15. Result = 38/15.\n</reasoning>\nFinal Answer: 38/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 221 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 221 × (1 + 12/100) = 221 × 1.12 = 247.52.\n</reasoning>\nFinal Answer: 247.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 26, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 26 + 33 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 24 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 24 × 32 = 768.\n</reasoning>\nFinal Answer: 768"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -248 ÷ -685"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -248 by -685. -248 ÷ -685 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 / 11/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/4) ÷ (11/2) = (4/4) × (2/11) = 2/11.\n</reasoning>\nFinal Answer: 2/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:41 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/41, so B = A × (41/18) = 60 × 41/18 = 136.6667.\n</reasoning>\nFinal Answer: 136.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 6 + 42 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×6=84 and 42×13=546, then add: 630.\n</reasoning>\nFinal Answer: 630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 78, 44, 60, 97, 93, 49, 51, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 547/9 = 60.7778.\n</reasoning>\nFinal Answer: 60.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 3% of 872?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 872 = (3/100) × 872 = 26.16.\n</reasoning>\nFinal Answer: 26.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 88 ÷ -786"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 88 by -786. 88 ÷ -786 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 92 = 828.\n</reasoning>\nFinal Answer: 828"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -721 ÷ 913"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -721 by 913. -721 ÷ 913 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 - 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/8 - 15/9. LCD = 24. Result = 17/24.\n</reasoning>\nFinal Answer: 17/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 27, 54, 69, 99, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 14 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 7 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 20/60 = 7.3333 hours. Distance = speed × time = 78 × 7.3333 = 572.0 km.\n</reasoning>\nFinal Answer: 572.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/18 + 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/18 + 5/13. Common denominator = 234. Result = 181/234.\n</reasoning>\nFinal Answer: 181/234"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 20 = -169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 7x = -189. Divide by 7: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 - 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/8 - 10/9. LCD = 72. Result = 55/72.\n</reasoning>\nFinal Answer: 55/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 43 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 20+1849-23=1846.\n</reasoning>\nFinal Answer: 1846"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 636 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 636 × (1 - 70/100) = 636 × 0.30000000000000004 = 190.8.\n</reasoning>\nFinal Answer: 190.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 501 mod 213"
},
{
"role": "assistant",
"content": "<reasoning>\n501 mod 213: 501 = 213 × 2 + 75, so remainder = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×36)/6 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 43, 27, 44, 93, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 20 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -30 = -162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 12x = -132. Divide by 12: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 590 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 590 × (1 + 80/100) = 590 × 1.8 = 1062.0.\n</reasoning>\nFinal Answer: 1062.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 3 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 59/60 = 3.9833 hours. Distance = speed × time = 190 × 3.9833 = 756.8333 km.\n</reasoning>\nFinal Answer: 756.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 82, 92, 27, 78, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 416/6 = 69.3333.\n</reasoning>\nFinal Answer: 69.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹2789. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2789 × 5/100 = 139.45. Total = 2789 + 139.45 = 2928.45.\n</reasoning>\nFinal Answer: 2928.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -136 mod -591"
},
{
"role": "assistant",
"content": "<reasoning>\n-136 mod -591: -136 = -591 × 0 + -136, so remainder = -136.\n</reasoning>\nFinal Answer: -136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 49 = 361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 24x = 312. Divide by 24: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "394 is what percentage of 974?"
},
{
"role": "assistant",
"content": "<reasoning>\n(394/974) × 100 = 40.4517%.\n</reasoning>\nFinal Answer: 40.4517%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 607 × 685"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 607 by 685: 607 × 685 = 415795.\n</reasoning>\nFinal Answer: 415795"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -36 × 492"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -36 by 492: -36 × 492 = -17712.\n</reasoning>\nFinal Answer: -17712"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -22 = 553"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 25x = 575. Divide by 25: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 967 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 967 × (1 - 70/100) = 967 × 0.30000000000000004 = 290.1.\n</reasoning>\nFinal Answer: 290.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -24 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 9x = 36. Divide by 9: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 21, 29, 2, 71, 4, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 2 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 19 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 1x = 23. Divide by 1: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 - 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/14 - 5/15. LCD = 21. Result = 11/21.\n</reasoning>\nFinal Answer: 11/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×22)/1 = 1078.\n</reasoning>\nFinal Answer: 1078"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -118 ÷ -318"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -118 by -318. -118 ÷ -318 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -38 = -302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 6x = -264. Divide by 6: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "94 is what percentage of 169?"
},
{
"role": "assistant",
"content": "<reasoning>\n(94/169) × 100 = 55.6213%.\n</reasoning>\nFinal Answer: 55.6213%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 5 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 3x = 45. Divide by 3: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 1 = 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 25x = 250. Divide by 25: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 18 = 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 14x = 84. Divide by 14: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [25, 82, 97, 70, 60, 37, 29, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 82: 1, 97: 1, 70: 1, 60: 1, 37: 1, 29: 1, 95: 1}. Most frequent: [25, 82, 97, 70, 60, 37, 29, 95].\n</reasoning>\nFinal Answer: [25, 82,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [55, 30, 65, 32, 24, 13, 66, 79, 84, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 13 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -29 = -493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 29x = -464. Divide by 29: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 38, 97, 86, 65, 87, 78, 47, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 644/9 = 71.5556.\n</reasoning>\nFinal Answer: 71.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 23, 99, 22, 20, 72, 75, 21, 50, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 23: 1, 99: 1, 22: 1, 20: 1, 72: 1, 75: 1, 21: 1, 50: 1, 84: 1}. Most frequent: [33, 23, 99, 22, 20, 72, 75, 21, 50, 84].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 23) * (30 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+23)=39, (30-12)=18, then 39×18=702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 791 + 161"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 791 and 161: 791 + 161 = 952.\n</reasoning>\nFinal Answer: 952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 + 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/5 + 11/1. Common denominator = 5. Result = 64/5.\n</reasoning>\nFinal Answer: 64/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 34 = 25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 1x = -9. Divide by 1: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:16 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/16, so B = A × (16/35) = 85 × 16/35 = 38.8571.\n</reasoning>\nFinal Answer: 38.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (35)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 35² - 4×5×0 = 1225. √discriminant = 35. x = (-(35) ± 35) / (2×5). Solutions: x = -7 or x = 0.\n</reasoning>\nFinal Answer: x = -7 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 16 apples and buys 41 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 16 + 41 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 41) * (19 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+41)=56, (19-9)=10, then 56×10=560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 44 * 6 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×6=264, then 38+264-45=257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:44 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/44, so B = A × (44/13) = 98 × 44/13 = 331.6923.\n</reasoning>\nFinal Answer: 331.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 580 ÷ -625"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 580 by -625. 580 ÷ -625 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
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