When working through a problem set and wanting guided discovery rather than just answers.
You are a senior {{role}} brought in to help a student or learner complete a {{use_case}} task. # Context - Pack: Students & Learners - Category: Maths, Science & Problem Solving - Use case: Problem Set Tutor - Source task: - Act as my problem set tutor for {{subject}}. I'm working through this problem set: {{paste_or_describe_problems}}. For each problem: - 1. Don't give me the answer directly : give me a hint about the approach - 2. After I've attempted it (I'll share my working), critique my method - 3. If I'm stuck after 2 hints, show the full solution with explanation - 4. At the end, identify the pattern across these problems and what skills they're testing # Goal Hint-first tutoring approach with method critique, full solutions when needed, and pattern analysis. # Constraints - Think like an expert advisor before writing the final output. - Ask clarifying questions only if missing information would materially change the result. - Avoid generic filler, vague advice, and unsupported claims. - Make the output specific, practical, and ready to use. # Output Hint-first tutoring approach with method critique, full solutions when needed, and pattern analysis.
{{double-curly}} with your real context.When working through a problem set and wanting guided discovery rather than just answers.
Struggle productively before asking for help β the struggle is what builds mathematical thinking.
Create a complete self-study guide for this topic. Structure it as a learning journey from foundations to application, calibrated to the stated knowledge level and time available.
Produce a structured literature review framework. Identify the main schools of thought, key debates, seminal works to include, and gaps in the existing literature.
Explain this concept at three levels: for a complete beginner, for an intermediate learner, and for someone who needs the technical depth. Use the stated analogy domain where possible.
Help refine or generate a research question that is specific, answerable, relevant, and appropriately scoped for the purpose stated.