And to further echo the points made by others, your anology is terribly flawed.
You seem to assume that “math” or ”mathematics” is a set of established facts taught by wrote and that you can compare god to those facts in so much as god is a set of facts and that an innacurate teacher could misrepresent the facts but not change them.
math is the study of objects and their relationships. There are accepted premises and those proofs are demonstrated and demonstrable.... but the field of math and mathematics is ever growing and ever evolving.
God has no proofs, nothing that can be demonstrated or demonstrable. Nothing that can be successfully tested and, as every math teacher says every class “show your work”.
Belief in god is all feeling and intuition.
Prove otherwise and i will believe.