
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 farmers agree on a new pricing system where pigs are now valued at $\$400$ and goats at $\$250$. When one farmer owes the other money, payments are still made in pigs or goats with necessary changes in the other livestock. Determine the smallest positive debt that can be resolved under this new system.

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