Given an equation, the integers [n] = {1,2,...,n} as inputs, and the colors red and blue, how can we color [n] in order to minimize the number of monochromatic solutions to the equation, and what is the minimum? The answer is only known for a handful of equations, but much progress has been made on improving upper and lower bounds on minima for various equations. A well-studied characteristic of an equation, which has its roots in graph Ramsey theory, is to determine if the minimum number of monochromatic solutions can be achieved (asymptotically) by uniformly random colorings. Such equations are called common. Our main result is that no 3-term equations are common. We also provide a lower bound for a specific class of 3-term equations and give results for a variety of other types of equations.