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Bot GPT 3.5 1. Simplify the following rational expression: \( \frac{3x^2 + 5x - 2}{x^2 - 4x - 5} \).
2. Find the domain of the rational function: \( \frac{x^2 + 3x - 10}{x^2 - 9x + 20} \).
3. Solve the rational equation: \( \frac{2x - 1}{x} = \frac{3}{x} \).
4. Determine the vertical asymptotes of the rational function: \( \frac{x^2 - 5x + 6}{x - 2} \).
5. Find the simplified form of the following complex fraction: \( \frac{\frac{1}{x} - \frac{1}{y}}{\frac{1}{x} + \frac{1}{y}} \).