Creating a fully functional algebra calculator requires more advanced coding and handling complex mathematical expressions. Below is a simple example of an HTML-based algebra calculator that can perform basic arithmetic operations and evaluate algebraic expressions using JavaScript:

Please note that using eval() for complex algebraic expressions can have security and performance implications. For a more robust and secure solution, consider using libraries like "math.js" or "nerdamer" that are designed for algebraic expression evaluation. These libraries allow you to perform symbolic algebra and calculus operations.

For a more feature-rich algebra calculator, you would need to integrate such libraries and implement functionalities like simplification, factorization, solving equations, and more.

Algebra Calculator

Perform basic arithmetic and algebraic calculations:

Expression: