It isn't unsolvable though.
Do you believe God made the universe and everything in it?? If so, how do you know this?
I choose to 'believe' it because describes how I view my relationship to God. I say this by faith, not by logic.
Do you believe God knew Jesus was going to die and sent him to earth anyway? If so, he is omniscient.
Well, Jesus was fully human and all humans die, so yes, of course God knew Jesus would die. Did God know that Jesus would be brutally killed on the Cross? The Gospel stories indicate that God did know this by Gethesmane. Was it planned from the beginning of Creation? Some atonement theories suggest so but then there is no universally accepted atonement theory either.
But the reason it's not solvable isn't because there are no answers to those questions. It's not a logical, philosophical puzzle as if you can put God in a box or under a microscope. The Bible stories do not explain where evil comes from, the people who wrote the Bible did not know where evil comes from, and you and I don't know. You say it must be God because He's the Creator and I just say, I don't know. Language fails, logic fails. Very unsatisfactory, I know, but there it is.
Well, I tried writing a lot more but my brain is tired and I did not like it. Not sure it was worth the effort anyway. I'll see if I can find a way to say what I was trying tomorrow.
I've pointed out AE's thread on process theology before. I don't offer it as a definative answer, but it is one that intrigues me and addresses theodicy. The reason I don't say, "well, process theology explains it all!" is because even that statement lacks humility, makes God smaller, and suggests that I have some kind of final logical answer to your question and could turn it into a personal dogma, an inappropriate degree of certainty in the face of so much I really don't know. Logic and language fail, not least because we are trying to use symbols to describe something beyond our understanding.