A problem-set prompt should focus on method choice and error patterns. The useful output is not a finished answer key; it is a list of what you misunderstood, what to re-practice, and how to recognize the right method next time.
Good output asks for
- Where the attempt first goes wrong.
- Which concept or formula the problem is testing.
- Practice variants that change one feature at a time.
- Hints before solutions.
- A short plan for reworking the problem yourself.