
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 people jointly owned \( x \) cows, which they sold for \( x \) dollars per head. With the money earned from selling the cows, they bought sheep at 12 dollars per head. Since the revenue from the sale of cows was not divisible by 12, they bought a lamb with the remaining money. Then they divided the flock so that each had the same number of animals. The person with the lamb was thus somewhat shortchanged. To make things right, the second person gave them their harmonica. How much is the harmonica worth?

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