Complex numbers, sequences and series, trigonometry, coordinate geometry, and conics all come into play in this hodge-podge problem

Find the sum of x and y, if the following quadratic equations in x and y are true.

Calculate the sum of squares, given the arithmetic, geometric and harmonic means of three numbers

Three digits get together for brunch and discuss their relationships

Without a calculator find a nine digit number that meets the criteria of the problem

A math problem involving Shrek wanting Fiona's telephone number

The digits from zero to nine are competitors in a new reality TV show. Which digit will win?

Two people go to the same store and make the same purchases, but one of them is treated unfairly in the pricing