The accountant complaints to the mathematician:
“I lent money to five other faculty members and still haven’t been paid back. You are one of them; the other four owe me 12 dollars altogether, but I don’t remember how much each person owes me separately.”
“Are the debts in whole dollars?”
“Yes. I do remember that the four other debts multiplied together equals your debt. Do you remember how much you owe me?”
“Yes, but I still haven’t figured out how much each of the other four owe you.”
“Wait! The statistician is the one who owes the least.”
“That does it. Now I know the amount of each debt.”
What are the debts and how did the mathematician determine them?