Hey Natanael, unfortunately for this problem there is only one solution, not multiple solutions.
Also models are trained to respond to the context you provide. If you say “analyze this math question and give possible results and also issues with the question being asked”. The model will do that. If you just give them the question, they will “simulate” just responding to that question - not necessarily analyzing it or showing you what’s wrong it.
As you state here
There is no “configuration where the other couples each pay Alice $60 and Jane $30”. That was totally inaccurate math based on failure to use logical order of operations in solving the problem. See the reply I just made to aprendendo.next a couple of minutes ago.
There IS only one valid solution for this problem. The models response was exact, accurate, and to the point - Jane already paid $120 - therefore owes nothing to Alice.
In many cases this IS THE DESIRED BEHAVIOR - a short and sweet answer - like you would expect from a student on a multiple choice test. You wouldn’t expect the student to give you a soliloquy about why your proposed answer is wrong and outline all possible scenarios - you expect your student to just say “nope, your wrong - obvious reason - Jane already paid more than her share - case closed”.
It’s not a complex question requiring a complex response.
Try giving it an actually difficult question!
Then you might get a complex response.
If you want analysis of a very simple math problem like that - give it the prompt to provide analysis.
Otherwise be content with a very simple response to a very simple question, that is accurate!