
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
The total capacity of three tanks is 1620 liters. Two of them are filled with kerosene, and the third one is empty. To fill the empty tank, either all the contents of the first tank plus $1/5$ of the contents of the second tank, or all the contents of the second tank plus $1/3$ of the contents of the first tank is needed. Find the capacity of each tank.

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