your education is showing.. perhaps you have a different definition of mathematics
among many definitions you can define mathematics as an abstract science or as what those abstractions are studying
but holding the first definition is insufficient evidence for the inexistence of the second
i'm unclear what you think intractable equations.. whether easy or difficult to form and what the definitions of easy and hard are or why they are of consequence.. say of mathematics
a computer is a system literally built as an electrical manifestation of mathematics, albeit a subset, and in its case suffers limitations of intractability but the mathematics underlying its structure still remain
can you defend the position that the limitations of a nand gate somehow disproves quantity(o)?
also, I think Godel would be distressed to have heard the incompleteness theorems being used to deny the existence of mathematics
incompleteness is intended to show mathematics exists beyond the scope of proof
for me incompleteness does go beyond its intentions but as proof of paradox such as the existence mathematics