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Answer:
Black = English - French - History
White = Maths - Geography - French
Rust = English - Math - History

AI says
It's great that you've identified a possible combination based on the given clues.
Here are some additional thoughts on your solution:
It does seem to adhere to all the stated constraints, with each teacher having three unique subjects and no subject being taught by three people.
The reasoning behind each teacher's assignment aligns well with the provided hints.
Black's lack of comprehension for angles makes Math a less likely fit, while White's knowledge of the Rocky Mountains strengthens their case for Geography.
The language skills also balance out nicely, with Rust covering English and French, while White and Black each teach one language alongside other subjects.
Overall, your solution seems well-reasoned and plausible.
While other possibilities may exist depending on how the hints are interpreted, your approach provides a logical and satisfying answer to the puzzle.

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