Since the first fifty episodes are out of the way, I can cross-check them against the published book. That's the blue book, since they did not start numbering them until book 5. The majority of issues are in the solutions; although there are a few issues which should be corrected with the rounds, only one of them would stop one playing through accurately (although two more do affect the word mixes).
I'll note that they use the terms 'round' and 'game' with reversed meanings compared to how I generally use them. That is, they regard an episode as a round (whereas I would call it a game) and an individual scoring section within the episode as a game (whereas I would call it a round). I will try to be consistent with their usage rather than mine; apologies in advance if I slip up, though.
One notable difference between the books and the show is that for numbers games the books generally presents the numbers in the opposite order (small numbers on the left, large numbers on the right). Consequently, when I mention cases below of this order being reversed I am stating that the book is displaying the numbers in the same order in which they appeared on the show; this warrants correction since it is not consistent with the general policy of the books.