I don't understand this. What are they DOING with your GPU that you can't just PRETEND to do instead?
(Unless it's factoring primes or something that's likely to be as hard pretending to do the task as just letting them actually use the GPU, but if they're factoring large primes using thousands of computers then they probably have more illegal things in mind than you would be doing by pretending to do the factoring.)
It's using your GPU to compute hashes, and since there are trillions upon trillions of different hash combinations that
could be the one used to collect the block, the only way is a flat out brute force attack.
And by trillions upon trillions I mean 115 quattuorvigintillion, or 1.158 * 10
77.