Deign86/MATHPULSE-AI ? reverse-engineered prompt

Build me a math learning app called MathPulse AI that feels polished and fun for students, teachers, and admins.

I want students to sign in, get a quick diagnostic, and then see a personalized learning path with lessons, quizzes, progress tracking, XP, streaks, achievements, and a leaderboard. They should also be able to chat with an AI math tutor for help, get instant feedback on answers, and see a floating help button on every page.

Teachers should have a dashboard to see student progress, spot at risk students, assign tasks, and view class insights and charts. Admins should be able to manage users, content, settings, and audit logs.

Make it work as an installable PWA and a native Android app too, with offline friendly behavior, Firebase auth and database support, and a FastAPI backend for the AI and analytics pieces. Use a clean modern design, responsive layouts, and make the whole experience feel like a real product, not a demo. If you need current docs for any library, look them up online first.