I can solve many of the problems involving integers with quick computer programs. But submitting the answer just feels wrong. Do you think that it is ethical, or fair, to post an answer if you don't understand the solution?
What about if you solve it with a formula but you had to go to your textbook to find the formula? Or searched on the web? Anyone who has access to this site can also google "Sum of fourth powers" or whatever formula is needed.
My personal comfort zone is information that I can understand and could remember next month without looking it up again. But there are online resources which I will not name that make some of these things too easy.
The FAQ states "The problems are designed to be solvable with pencil, paper, and human reasoning. In physics problems, using a calculator is encouraged to arrive at a correct decimal answer. For mathematics problems, featured solutions that use computer programs will only be accepted if you can justify why there was no error in your computation. In general, if you find yourself wanting to brute force an answer with a computer, there is probably a more elegant way to go about it that you are not seeing. "
I can usually justify that there was no error in my computation. I'm good at this stuff, and I know how to deal with most of the differences between real math and computer numbers, such as rounding and floating-point numbers not quite being zero.