I have an integer polynomial in four variables (w, x, y, and z) that I know can be written as an integer polynomial in these six variables:
- a = w z
- b = x y
- c = w^3 + z^3
- d = x + y
- e = w^3 x + y z^3
- f = w^3 y + x z^3
How can I use Mathematica (or maybe Java) to easily do this change of variables?