Pick three algebraic equations that you normally work with, or are similar to equations you typically use. You can choose them from a math textbook if you are a student, or from a research or work project if you are not. Pick equations that you consider to be on the simple side of medium complexity - that is, equations that are complex and 'big' enough to be interesting, but not much bigger. It's also best to pick equations that are fairly different from each other.
When you've chosen them, do these exercises with each equation: