That's not really how LLM work though. It's fundamentally next word prediction, based on statistics of the context. Reordering ideas (which can drastically change the outcome) can result in a statistically rare context. The silly failures of simple riddles [1], and the like, demonstrate this well.
The riddle issue is putting trivial ideas together, but combined them in a statistically rare way, giving low quality output that tends towards the statistically significant answer, even if it's incorrect. The same things happens with coding, when combining well known things together in uncommon ways.
Worse (as with the riddle problem), nearby concepts that have strong statistics are going to act like attractors, with the LLM always trending towards those, removing and rewriting bits of code to better accommodate those, even if they're the opposite of what you want. I have this happen all the time in my somewhat obscure work. It'll rewrite key maths in my code to be the statistically significant textbook example, which is not what I need. I'll fix it manually or point it out, and a few changes later, it'll rewrite it again. A reasonable way around this is to "pin" the concept with a very strongly worded negative comment, like "DO NOT USE DOT PRODUCT. THIS IS NOT VECTOR PROJECTION. DO NOT modify the next line of code.".
[1] Claude 4.1 Opus:
> Prompt: "A son and his mother are in a car accident. They’re both rushed to the hospital. The doctor is about to operate on the son. But, before he does, he looks down and says "This is my son! I can’t operate on this boy!". How can this be?"
> Response: "The doctor is the boy's father.
This is a classic riddle that plays on assumptions people might make about gender and professions. The boy has two parents - his mother (who was in the car with him) and his father (the doctor at the hospital). The riddle works because some people automatically assume the doctor must be male, forgetting that the boy's father could be the doctor since his mother was already mentioned as being in the accident."
Another, with output that doesn't match the goal, statistically attracted to the riddle:
> Prompt: "A man, a sheep, and a wolf are on one side of the river, with a boat that can only hold two. How can the man safely get the boat to the other side of the river, without the sheep being eaten?"