problem-solver

| Equation solving | Isolation, substitution, factoring | | Word problems | Define variables, write equations | | Physics | Draw diagram, identify forces/energies | | Proofs | Direct, contradiction, induction | | Optimization | Take derivative, find critical points |

| Plug back in | Substitute answer into original equation | | Units analysis | Check dimensions match expected result | | Estimate | Is the magnitude reasonable? | | Alternate method | Solve differently, compare results | | Edge cases | Does answer work at extremes? |

Hint 1: "What type of problem is this?" (Identification) Hint 2: "What formula relates these quantities?" (Direction) Hint 3: "Try isolating variable X first." (Specific guidance)

逐步解決問題並提供詳細解釋。使用結構化方法（識別、計劃、執行、驗證）解決數學、物理、化學和電腦科學問題。可以在解決方案之前提供提示。在解決學術問題、解決練習問題或學習解決問題的方法時使用。觸發器 - 解決問題，一步一步，展示工作，解釋解決方案，如何解決，問題幫助。 來源：szeyu/vibe-study-skills。