messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [52, 84, 67, 37, 79, 54, 57, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 30 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 27 * 49 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×49=1323, then 4+1323-31=1296.\n</reasoning>\nFinal Answer: 1296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 46 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 46 × 53 = 2438.\n</reasoning>\nFinal Answer: 2438"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -20 = -405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 11x = -385. Divide by 11: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49137 at 16% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49137 × 16 × 3 / 100 = 23585.76.\n</reasoning>\nFinal Answer: 23585.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 842 km apart. Their speeds are 78 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+72=150 km/h. Time = 842/150 = 5.6133 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 31 = -529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 20x = -560. Divide by 20: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 39 + 8 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×39=1404 and 8×44=352, then add: 1756.\n</reasoning>\nFinal Answer: 1756"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 8 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 33/60 = 8.5500 hours. Distance = speed × time = 72 × 8.5500 = 615.6 km.\n</reasoning>\nFinal Answer: 615.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -335 + 642"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -335 and 642: -335 + 642 = 307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 122 km apart. Their speeds are 113 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+82=195 km/h. Time = 122/195 = 0.6256 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 10 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(10,100) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 10, 12, 14] and B = [3, 9, 11, 13, 15, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 17, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 - 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/19 - 15/17. LCD = 323. Result = -268/323.\n</reasoning>\nFinal Answer: -268/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 819?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 819 = (35/100) × 819 = 286.65.\n</reasoning>\nFinal Answer: 286.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-40)x + (35) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -40² - 4×5×35 = 900. √discriminant = 30. x = (-(-40) ± 30) / (2×5). Solutions: x = 1 or x = 7.\n</reasoning>\nFinal Answer: x = 1 or x = 7"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 90% of 835?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 835 = (90/100) × 835 = 751.5.\n</reasoning>\nFinal Answer: 751.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 723 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 723 × (1 + 100/100) = 723 × 2.0 = 1446.0.\n</reasoning>\nFinal Answer: 1446.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 / 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/13) ÷ (1/20) = (15/13) × (20/1) = 300/13.\n</reasoning>\nFinal Answer: 300/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:36 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/36, so B = A × (36/47) = 59 × 36/47 = 45.1915.\n</reasoning>\nFinal Answer: 45.1915"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 50% of 17?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 17 = (50/100) × 17 = 8.5.\n</reasoning>\nFinal Answer: 8.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 10, 13, 16, 19] and B = [1, 3, 4, 13, 14, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 10, 13, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 3, 4,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -19 = -331"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 13x = -312. Divide by 13: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 192 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 192 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 51 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 51 × (1 + 75/100) = 51 × 1.75 = 89.25.\n</reasoning>\nFinal Answer: 89.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 873?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 873 = (35/100) × 873 = 305.55.\n</reasoning>\nFinal Answer: 305.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 43 = -416"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 17x = -459. Divide by 17: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 1 mod -970"
},
{
"role": "assistant",
"content": "<reasoning>\n1 mod -970: 1 = -970 × -1 + -969, so remainder = -969.\n</reasoning>\nFinal Answer: -969"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3389. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3389 × 5/100 = 169.45. Total = 3389 + 169.45 = 3558.45.\n</reasoning>\nFinal Answer: 3558.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 211 km apart. Their speeds are 115 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+65=180 km/h. Time = 211/180 = 1.1722 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 - 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/12 - 10/13. LCD = 39. Result = 35/39.\n</reasoning>\nFinal Answer: 35/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 8 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 17+64-22=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 45 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 3+2025-23=2005.\n</reasoning>\nFinal Answer: 2005"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 8 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 11/60 = 8.1833 hours. Distance = speed × time = 46 × 8.1833 = 376.4333 km.\n</reasoning>\nFinal Answer: 376.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 32 + 31 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×32=1408 and 31×39=1209, then add: 2617.\n</reasoning>\nFinal Answer: 2617"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 - 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/8 - 12/17. LCD = 34. Result = -7/34.\n</reasoning>\nFinal Answer: -7/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 50 - 337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 337 from 50: 50 - 337 = -287.\n</reasoning>\nFinal Answer: -287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 82, 25, 14, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 25, 58, 64, 82]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×43)/1 = 1075.\n</reasoning>\nFinal Answer: 1075"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 + 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/1 + 15/14. Common denominator = 14. Result = 239/14.\n</reasoning>\nFinal Answer: 239/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 33 * 50 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×50=1650, then 45+1650-44=1651.\n</reasoning>\nFinal Answer: 1651"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -345 mod 250"
},
{
"role": "assistant",
"content": "<reasoning>\n-345 mod 250: -345 = 250 × -2 + 155, so remainder = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 19."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 19: factors are [1, 19].\n</reasoning>\nFinal Answer: [1, 19]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 + 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/5 + 4/12. Common denominator = 15. Result = 32/15.\n</reasoning>\nFinal Answer: 32/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 13] and B = [3, 5, 7, 11, 13, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 7, 8, 11, 13, 14, 15].\n</reasoning>\nFinal Answer: [3, 4, 5, 7, 8, 11, 13, 14,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 52, 78, 93, 61, 52, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 47, 52, 52, 61, 78, 93]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 98, 24, 73, 90, 98, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 443/7 = 63.2857.\n</reasoning>\nFinal Answer: 63.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 40% of 387?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 387 = (40/100) × 387 = 154.8.\n</reasoning>\nFinal Answer: 154.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35709 at 5% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35709 × 5 × 10 / 100 = 17854.5.\n</reasoning>\nFinal Answer: 17854.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -501 × -862"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -501 by -862: -501 × -862 = 431862.\n</reasoning>\nFinal Answer: 431862"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 533 × 705"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 533 by 705: 533 × 705 = 375765.\n</reasoning>\nFinal Answer: 375765"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 18?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 18 = (80/100) × 18 = 14.4.\n</reasoning>\nFinal Answer: 14.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 40 = 1147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 27x = 1107. Divide by 27: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 570 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 570 × (1 + 5/100) = 570 × 1.05 = 598.5.\n</reasoning>\nFinal Answer: 598.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:12 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/12, so B = A × (12/4) = 17 × 12/4 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "425 is what percentage of 991?"
},
{
"role": "assistant",
"content": "<reasoning>\n(425/991) × 100 = 42.886%.\n</reasoning>\nFinal Answer: 42.886%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -41 = 1206"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 29x = 1247. Divide by 29: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 59, 91, 66, 22, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 22 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 / 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/2) ÷ (18/11) = (12/2) × (11/18) = 11/3.\n</reasoning>\nFinal Answer: 11/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 2 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 20x = -40. Divide by 20: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -144 × -874"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -144 by -874: -144 × -874 = 125856.\n</reasoning>\nFinal Answer: 125856"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 - 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/5 - 9/20. LCD = 20. Result = 43/20.\n</reasoning>\nFinal Answer: 43/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 7/5. LCD = 35. Result = 31/35.\n</reasoning>\nFinal Answer: 31/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:32 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/32, so B = A × (32/7) = 67 × 32/7 = 306.2857.\n</reasoning>\nFinal Answer: 306.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 419 - -114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -114 from 419: 419 - -114 = 533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 58 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 16 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (16×31)/1 = 496.\n</reasoning>\nFinal Answer: 496"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "138 is what percentage of 663?"
},
{
"role": "assistant",
"content": "<reasoning>\n(138/663) × 100 = 20.8145%.\n</reasoning>\nFinal Answer: 20.8145%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:40 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/40, so B = A × (40/18) = 99 × 40/18 = 220.0.\n</reasoning>\nFinal Answer: 220.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -31 = 158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 7x = 189. Divide by 7: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 78 - -359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -359 from 78: 78 - -359 = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 693 mod -442"
},
{
"role": "assistant",
"content": "<reasoning>\n693 mod -442: 693 = -442 × -2 + -191, so remainder = -191.\n</reasoning>\nFinal Answer: -191"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 1, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (43-1)×1 = 2 + 42 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -47 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 27x = 135. Divide by 27: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 139 km/h. How far does it travel in 6 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 1/60 = 6.0167 hours. Distance = speed × time = 139 × 6.0167 = 836.3167 km.\n</reasoning>\nFinal Answer: 836.3167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 54 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 54 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 17 = 1326.\n</reasoning>\nFinal Answer: 1326"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 367 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 367 × (1 + 20/100) = 367 × 1.2 = 440.4.\n</reasoning>\nFinal Answer: 440.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 14] and B = [2, 6, 9, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6].\n</reasoning>\nFinal Answer: [6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 63, 100, 48, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [48, 63, 65, 68, 100]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:9 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/9, so B = A × (9/21) = 1 × 9/21 = 0.4286.\n</reasoning>\nFinal Answer: 0.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6217 at 16% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6217 × 16 × 7 / 100 = 6963.04.\n</reasoning>\nFinal Answer: 6963.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 476 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 476 × (1 + 30/100) = 476 × 1.3 = 618.8.\n</reasoning>\nFinal Answer: 618.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 70 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(70+94) = 2×164 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 43) * (22 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+43)=63, (22-32)=-10, then 63×-10=-630.\n</reasoning>\nFinal Answer: -630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 / 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/8) ÷ (17/7) = (10/8) × (7/17) = 35/68.\n</reasoning>\nFinal Answer: 35/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 107 mod 908"
},
{
"role": "assistant",
"content": "<reasoning>\n107 mod 908: 107 = 908 × 0 + 107, so remainder = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 34 + 4 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×34=918 and 4×5=20, then add: 938.\n</reasoning>\nFinal Answer: 938"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 43 = 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 3x = 75. Divide by 3: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 1 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 1/3 = 0.3333.\n</reasoning>\nFinal Answer: 0.3333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 14 + 46 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×14=602 and 46×15=690, then add: 1292.\n</reasoning>\nFinal Answer: 1292"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 180 and 186."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(180,186) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -699 mod -456"
},
{
"role": "assistant",
"content": "<reasoning>\n-699 mod -456: -699 = -456 × 1 + -243, so remainder = -243.\n</reasoning>\nFinal Answer: -243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 83, 59, 47, 23, 87, 9, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 20, 23, 47, 50, 59, 83, 87]. Middle value(s) → median = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -72 + -370"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -72 and -370: -72 + -370 = -442.\n</reasoning>\nFinal Answer: -442"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16588 at 9% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16588 × 9 × 9 / 100 = 13436.28.\n</reasoning>\nFinal Answer: 13436.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 13 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 13 = 65 worker-days. New time = 65 / 7 = 9.2857 days.\n</reasoning>\nFinal Answer: 9.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -851 × -138"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -851 by -138: -851 × -138 = 117438.\n</reasoning>\nFinal Answer: 117438"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 31, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 31 + 37 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 1 + 46 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×1=15 and 46×2=92, then add: 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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