messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 6, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (49-1)×6 = 18 + 288 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 21 + 17 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×21=903 and 17×13=221, then add: 1124.\n</reasoning>\nFinal Answer: 1124"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -47 = -389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 19x = -342. Divide by 19: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -433 × -933"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -433 by -933: -433 × -933 = 403989.\n</reasoning>\nFinal Answer: 403989"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -11 = -583"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 13x = -572. Divide by 13: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 439 km apart. Their speeds are 75 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+92=167 km/h. Time = 439/167 = 2.6287 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 208 km apart. Their speeds are 56 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+45=101 km/h. Time = 208/101 = 2.0594 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 + 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/20 + 18/12. Common denominator = 20. Result = 37/20.\n</reasoning>\nFinal Answer: 37/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 87 = 6003.\n</reasoning>\nFinal Answer: 6003"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 33 = 264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 11x = 231. Divide by 11: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 14 = 133.0.\n</reasoning>\nFinal Answer: 133.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 5% of 699?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 699 = (5/100) × 699 = 34.95.\n</reasoning>\nFinal Answer: 34.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 59 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 59 × 30 = 1770.\n</reasoning>\nFinal Answer: 1770"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 30 * 4 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×4=120, then 7+120-20=107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 39 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 38+1521-8=1551.\n</reasoning>\nFinal Answer: 1551"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 40 + 35 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×40=760 and 35×11=385, then add: 1145.\n</reasoning>\nFinal Answer: 1145"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 30% of 905?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 905 = (30/100) × 905 = 271.5.\n</reasoning>\nFinal Answer: 271.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2767 at 1% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2767 × 1 × 1 / 100 = 27.67.\n</reasoning>\nFinal Answer: 27.67"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 - 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/10 - 16/17. LCD = 170. Result = 61/170.\n</reasoning>\nFinal Answer: 61/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 26, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 26 + 37 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 11, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (26-1)×11 = 1 + 275 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:15 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/15, so B = A × (15/21) = 76 × 15/21 = 54.2857.\n</reasoning>\nFinal Answer: 54.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 15% of 999?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 999 = (15/100) × 999 = 149.85.\n</reasoning>\nFinal Answer: 149.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 0 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 4x = 156. Divide by 4: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -581 mod 621"
},
{
"role": "assistant",
"content": "<reasoning>\n-581 mod 621: -581 = 621 × -1 + 40, so remainder = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 + 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/19 + 11/10. Common denominator = 190. Result = 359/190.\n</reasoning>\nFinal Answer: 359/190"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2189. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2189 × 28/100 = 612.92. Total = 2189 + 612.92 = 2801.92.\n</reasoning>\nFinal Answer: 2801.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/4 + 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/4 + 2/2. Common denominator = 2. Result = 9/2.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 64, 84, 9, 12, 60, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 9 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 703 - 676"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 676 from 703: 703 - 676 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:48 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/48, so B = A × (48/14) = 6 × 48/14 = 20.5714.\n</reasoning>\nFinal Answer: 20.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (75)x + (270) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 75² - 4×5×270 = 225. √discriminant = 15. x = (-(75) ± 15) / (2×5). Solutions: x = -9 or x = -6.\n</reasoning>\nFinal Answer: x = -9 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 25 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 25 × 68 = 1700.\n</reasoning>\nFinal Answer: 1700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 26 = 702"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 26x = 676. Divide by 26: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 / 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/17) ÷ (17/5) = (9/17) × (5/17) = 45/289.\n</reasoning>\nFinal Answer: 45/289"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 * 17/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/1) × (17/6) = (238/6) = 119/3 after simplification.\n</reasoning>\nFinal Answer: 119/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 11, 20, 52, 92, 83, 82, 11, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 11 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 75, 26, 72, 80, 75, 84, 56, 35, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 26 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 721 + 809"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 721 and 809: 721 + 809 = 1530.\n</reasoning>\nFinal Answer: 1530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 21 * 30 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×30=630, then 27+630-25=632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/11 - 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/11 - 3/10. LCD = 110. Result = 107/110.\n</reasoning>\nFinal Answer: 107/110"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 * 14/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/11) × (14/18) = (28/198) = 14/99 after simplification.\n</reasoning>\nFinal Answer: 14/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -40 = -924"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 26x = -884. Divide by 26: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 72 = 1008.0.\n</reasoning>\nFinal Answer: 1008.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 123 apples and buys 32 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 123 + 32 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 49. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 49 ≈ 307.8761.\n</reasoning>\nFinal Answer: 307.8761"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 / 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/3) ÷ (1/19) = (1/3) × (19/1) = 19/3.\n</reasoning>\nFinal Answer: 19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -4 = 72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 4x = 76. Divide by 4: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 * 14/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/12) × (14/7) = (266/84) = 19/6 after simplification.\n</reasoning>\nFinal Answer: 19/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 * 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/6) × (11/15) = (220/90) = 22/9 after simplification.\n</reasoning>\nFinal Answer: 22/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -500 ÷ -692"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -500 by -692. -500 ÷ -692 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 480 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 480 × (1 + 17/100) = 480 × 1.17 = 561.6.\n</reasoning>\nFinal Answer: 561.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 15 * 13 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×13=195, then 29+195-30=194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 416 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 416 × (1 - 20/100) = 416 × 0.8 = 332.8.\n</reasoning>\nFinal Answer: 332.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 851 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 851 × (1 + 70/100) = 851 × 1.7 = 1446.7.\n</reasoning>\nFinal Answer: 1446.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38712 at 12% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38712 × 12 × 3 / 100 = 13936.32.\n</reasoning>\nFinal Answer: 13936.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 17 = -473"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 10x = -490. Divide by 10: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -19 = 169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 4x = 188. Divide by 4: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 39) * (38 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+39)=45, (38-30)=8, then 45×8=360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -440 + 950"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -440 and 950: -440 + 950 = 510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 32, 28, 98, 15, 24, 33, 80, 58, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 445/10 = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 2 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 2 × 38 = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -798 × -327"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -798 by -327: -798 × -327 = 260946.\n</reasoning>\nFinal Answer: 260946"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 81 = 648.0.\n</reasoning>\nFinal Answer: 648.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 18) * (42 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+18)=60, (42-13)=29, then 60×29=1740.\n</reasoning>\nFinal Answer: 1740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 9, 10, 13, 16] and B = [3, 5, 7, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 5, 7, 9, 10, 13, 16, 17].\n</reasoning>\nFinal Answer: [2, 3, 4, 5, 7, 9,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 161 km/h. How far does it travel in 1 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 7/60 = 1.1167 hours. Distance = speed × time = 161 × 1.1167 = 179.7833 km.\n</reasoning>\nFinal Answer: 179.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 806 km apart. Their speeds are 83 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+117=200 km/h. Time = 806/200 = 4.03 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 37, 2, 8, 49, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 8, 27, 37, 49, 80]. Middle value(s) → median = 32.0.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "71 is what percentage of 945?"
},
{
"role": "assistant",
"content": "<reasoning>\n(71/945) × 100 = 7.5132%.\n</reasoning>\nFinal Answer: 7.5132%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 23) * (33 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+23)=64, (33-17)=16, then 64×16=1024.\n</reasoning>\nFinal Answer: 1024"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 44 = 494"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 10x = 450. Divide by 10: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 1, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (37-1)×1 = 11 + 36 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 27 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 27 × 87 = 2349.\n</reasoning>\nFinal Answer: 2349"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 235 ÷ 10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 235 by 10. 235 ÷ 10 = 23 (integer division).\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 15 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 1+225-3=223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 29 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 39+841-26=854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+90) = 2×164 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -812 × -281"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -812 by -281: -812 × -281 = 228172.\n</reasoning>\nFinal Answer: 228172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 + 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/8 + 17/18. Common denominator = 72. Result = 95/72.\n</reasoning>\nFinal Answer: 95/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 13, 2, 29, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 13, 29, 37, 50]. Middle value(s) → median = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:25 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/25, so B = A × (25/2) = 80 × 25/2 = 1000.0.\n</reasoning>\nFinal Answer: 1000.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "8 is what percentage of 12?"
},
{
"role": "assistant",
"content": "<reasoning>\n(8/12) × 100 = 66.6667%.\n</reasoning>\nFinal Answer: 66.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 71, 47, 24, 73, 95, 22, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 457/8 = 57.125.\n</reasoning>\nFinal Answer: 57.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 46, 10, 67, 20, 86, 77, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 46: 1, 10: 1, 67: 1, 20: 1, 86: 1, 77: 1, 92: 1}. Most frequent: [60, 46, 10, 67, 20, 86, 77, 92].\n</reasoning>\nFinal Answer: [60, 46,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 / 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/4) ÷ (12/8) = (18/4) × (8/12) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 164 apples and buys 175 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 164 + 175 = 339.\n</reasoning>\nFinal Answer: 339"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 71, 57, 3, 78, 90, 89, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 57, 71, 78, 87, 89, 90, 98]. Middle value(s) → median = 82.5.\n</reasoning>\nFinal Answer: 82.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 77 = 3773.0.\n</reasoning>\nFinal Answer: 3773.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 6 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 6 = 108 worker-days. New time = 108 / 10 = 10.8 days.\n</reasoning>\nFinal Answer: 10.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 422 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 422 × (1 - 7/100) = 422 × 0.9299999999999999 = 392.46.\n</reasoning>\nFinal Answer: 392.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -27 = 127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 22x = 154. Divide by 22: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 100, 5, 32, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 5 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 - 13/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/19 - 13/6. LCD = 114. Result = -241/114.\n</reasoning>\nFinal Answer: -241/114"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 583 ÷ -888"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 583 by -888. 583 ÷ -888 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 146 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(146,39) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 42, 49, 1, 66, 41, 14, 49, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 364/9 = 40.4444.\n</reasoning>\nFinal Answer: 40.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 - 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/7 - 8/9. LCD = 63. Result = 52/63.\n</reasoning>\nFinal Answer: 52/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 79, 50, 94, 29, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 79: 1, 50: 1, 94: 1, 29: 1, 68: 1}. Most frequent: [64, 79, 50, 94, 29, 68].\n</reasoning>\nFinal Answer: [64, 79, 50, 94, 29, 68]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 10 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 10 × 48 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | easy | [
"geometry",
"area"
] |
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