Common Lisp in fact, as most lisps, has no support for "operators" in the infix sense at all. If you have a need for a very algebra-heavy portion in your program (say, a linear algebra library), the best idea would be to define a DSL for that particular algebra - especially since this will give you much more control over efficient evaluation than using the built-in evaluation order.

A good example of the limitations of simplistic operator overloading is matrix algebra: A+B•C can be computed efficiently as a ternary operation, more efficiently than doing A+B then multiplying the result by C. Now of course, you can implement this in C++ by having operator+() return some kind of matrix_addition object, and then defining the efficient operations in operator*(matrix_addition, matrix) etc, but that is much more roundabout than defining a simple addAndMul(A,B,C), or an explicit optimizing DSL.