
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
Two sheep farmers assess that one sheep is worth $\$250$ and a lamb is worth $\$150$. When one sheep farmer owes the other some amount, they pay the debt in sheep or lambs, with ``change'' given back in lambs or sheep as necessary. Determine the smallest positive amount of debt that they can resolve using this system.

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