
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
In the books of Novgorod scribes from the 15th century, the following liquid measures are mentioned: a barrel, a nasadka, and a bucket. From these same books, it became known that a barrel and 20 buckets of kvass equal three barrels of kvass, and 19 barrels, a nasadka, and 15.5 buckets equal twenty barrels and eight buckets. Can historians determine how many nasadkas are contained in a barrel based on this data?

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