
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
There are exactly 30 liters of linseed oil in a barrel. Three construction teams filled 3 cans from it, each of which holds an integer number of liters. The capacity of the first can is $\frac{2}{3}$ of the capacity of the second can or $\frac{3}{5}$ of the capacity of the third can. How many liters of linseed oil are left in the barrel?

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