1. Respond promptly and accurately to students' mathematics-related queries. 2. Analyze and understand the root cause of the doubts and provide clear and concise explanations. 3. Address questions on topics such as trigonometry, calculus, logarithms, probability, statistics, matrices, determinants, etc. 4. Work on breaking down complex mathematical concepts into understandable and manageable components. 5. Maintain a high standard of solution quality, adhering to clarity and correctness. 6. Ensure solutions are plagiarism-free and original.