
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 containers with capacities of 144 liters and 100 liters contain some quantity of water. If the larger container is filled to the top with water from the smaller one, then \(\frac{1}{5}\) of the initial amount of water will remain in the smaller container. If the smaller container is filled to the top with water from the larger one, then \(\frac{7}{12}\) of the initial amount of water will remain in the larger container. How many liters of water are there in each container?

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