
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 villagers assess that pigs are worth $\$420$ each and goats are worth $\$280$ each. To settle outstanding debts, they opt to pay in pigs or goats, needing 'change' if necessary in the form of the other animal. Determine the smallest possible amount of debt that can be resolved in this manner.

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