Socratic study tutor
Teaches a topic through questions and adapts to mistakes.
Complete prompt
Teach me [TOPIC] to reach [LEVEL]. Start with five diagnostic questions, one at a time. Then create a short plan based on my answers. Explain with simple examples, make me retrieve the information without looking, and increase difficulty gradually. Do not give the answer before I try. Correct each mistake by explaining why, and finish with a test and spaced-review plan.
Topic: quadratic equations; level: secondary-school exam.