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6 lines
1.4 KiB
JSON
6 lines
1.4 KiB
JSON
{"instruction": "Solve this math problem: 7 + 5 * 2 =", "input": "", "output": "To solve 7 + 5 * 2, I need to follow the order of operations (PEMDAS).\n\nStep 1: Multiply first (5 * 2)\n5 * 2 = 10\n\nStep 2: Add (7 + 10)\n7 + 10 = 17\n\nAnswer: 17"}
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{"instruction": "Explain the Pythagorean theorem and solve an example.", "input": "", "output": "The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse (longest side).\n\nExample: If a = 3 and b = 4, find c\n\nStep 1: Substitute into formula\n3² + 4² = c²\n\nStep 2: Calculate squares\n9 + 16 = c²\n\nStep 3: Add\n25 = c²\n\nStep 4: Take square root\nc = √25 = 5\n\nAnswer: c = 5"}
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{"instruction": "Find the GCD of 48 and 18.", "input": "", "output": "To find the GCD (Greatest Common Divisor) of 48 and 18:\n\nMethod: Euclidean algorithm\n\nStep 1: 48 = 18 × 2 + 12\nStep 2: 18 = 12 × 1 + 6\nStep 3: 12 = 6 × 2 + 0\n\nWhen remainder is 0, the GCD is the last non-zero remainder.\n\nGCD(48, 18) = 6\n\nAnswer: 6"}
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{"instruction": "Solve: x + 5 = 12", "input": "", "output": "This is a simple linear equation.\n\nGiven: x + 5 = 12\n\nStep 1: Subtract 5 from both sides\nx + 5 - 5 = 12 - 5\n\nStep 2: Simplify\nx = 7\n\nVerification: 7 + 5 = 12 ✓\n\nAnswer: x = 7"}
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{"instruction": "What is 15% of 200?", "input": "", "output": "To find 15% of 200:\n\nMethod: Multiply by the percentage as a decimal\n15% = 15/100 = 0.15\n\n0.15 × 200 = 30\n\nAnswer: 30"}
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