>AIW+ problem has following form: "Alice has 3 sisters. Her mother has 1 sister who does not have children - she has 7 nephews and nieces and also 2 brothers. Alice’s father has a brother who has 5 nephews and nieces in total, and who has also 1 son. How many cousins does Alice’s sister have?". The solution to AIW+ problem is harder to obtain than the solution to common sense AIW with very simple structure. Solving AIW+ requires taking different paternal sides, that of mother and father, and carefully calculating the number of cousins, taking care of subtracting Alice and her sister, and summing up the total number of cousins from both sides, for instance: on the mother side: 7 (total nephews and nieces) - 4 (Alice and her sisters) = 3 cousins; on the father side: 5 (total nephews and nieces) + 1 (own son of the father’s brother) - 4 (Alice and her sisters) = 2 cousins; summing up 3 + 2 = 5 cousins which Alice and any of her sisters have.
So I’m sure after the author’s created 100s of these family tree problems the answer here seems clear to them, but there are some unknowns to solve it as written.
1) Does Alice have brothers? Her mother must, but it is phrased as if her mother has 1 sister and her sister has 2 brothers, so we have to deduce that she has 3 siblings.
2) Along the same lines, does her father have a sister?
3) Do her Aunts and Uncles have nephews and nieces by marriage?
I think the LLM would still fail if these answers were made explicitly clear in the prompt. However, I could see the same problem ending with, Alice has only 4 cousins, how can that be?