It’s not a particularly complex equation. It’s just a SHA256 hash. You can do that with any computer in a fraction of a second. What makes it hard to mine is that the hash number, which can’t be predicted, needs to be sufficiently low. So it’s like a random lottery.

If my math is correct, it currently requires an average of 6x10^22 attempts to find one.

If you’re asking if the calculations have any other intrinsic value (other than securing the network), such as protein folding, finding high prime numbers, or analyzing SETI signals, the answer is no.