
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

A banker was walking down the street in a small provincial town when he suddenly saw a 5 dollar bill on the pavement. He picked it up, memorized the serial number, and went home for breakfast. During breakfast, his wife told him that the butcher had sent a bill for 5 dollars. Since the banker had no other money on him, he gave the found bill to his wife to pay the bill. The butcher gave this bill to the farmer when he bought a calf, and the farmer gave it to a merchant. The merchant, in turn, gave it to the laundress, who, remembering that she owed the bank 5 dollars, took it there and settled her debt.

The banker recognized the bill, which by that time had been used to pay off debts totaling 25 dollars. Upon closer examination, the bill turned out to be counterfeit. Who lost money and how much in all these transactions?

Present the answer in LaTex format: \boxed{Your answer}
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