Can a prompt replace Brilliant?

Build a practice log for working through mathematics and science problems from books and open courseware.

A problem record holds the source (book, chapter, number), a statement in Markdown with LaTeX, your worked solution, the date, a self-assessed difficulty and an outcome of solved, solved with a hint, or failed.

Render maths properly with KaTeX. A tool for this subject that cannot show an integral is not usable, so make that the first thing that works.

Schedule reviews with FSRS over the failed and hinted problems only — successfully solved problems come back rarely, failures come back soon. Reviewing means attempting again from the statement with your previous solution hidden until you commit an answer. Store attempts as an append-only history so you can look back at what you tried in March.

Build two reports. The first groups failures by the topic tag you assigned, so a cluster is visible rather than felt. The second lists the problems you have solved twice with a hint and never once without, which is the specific pattern that feels like progress and is not.

Everything is local files plus SQLite. Statements you enter yourself; do not scrape a paid course.

Do not have a model generate practice problems. Unverified generated maths problems have wrong answers often enough to be actively harmful when the whole point is that you cannot yet tell.