
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
Three monkeys, A, B, and C, distribute 540 bananas amongst themselves. Monkey A takes a certain number of bananas, keeps half and divides the rest equally between monkeys B and C. Monkey B then takes some bananas, keeps one-third of what he took, and divides the remainder equally among monkeys A and C. Lastly, monkey C takes the remaining bananas, keeps a quarter of them, and equally divides the rest between A and B. If each monkey ends up with a whole number of bananas, and the ratio of the total bananas each has at the end is 5:3:2, how many bananas does each monkey end up with?

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