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)

逐步解决问题并提供详细解释。使用结构化方法（识别、计划、执行、验证）解决数学、物理、化学和计算机科学问题。可以在解决方案之前提供提示。在解决学术问题、解决练习问题或学习解决问题的方法时使用。触发器 - 解决问题，一步一步，展示工作，解释解决方案，如何解决，问题帮助。 来源：szeyu/vibe-study-skills。