That is allowing the LLM to place minor steps into its own context window where a more difficult result is more likely to follow as the next series of words. Th

That is allowing the LLM to place minor steps into its own context window where a more difficult result is more likely to follow as the next series of words. That is using our intelligence of how answers are determined to manipulate the output. It doesn't say anything about the "intelligence" of an LLM. Telling it that it's an expert does not have it somehow change the rote algorithm or have it "pretend" anything. It's just not that complicated.