
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 share a pile of bananas. The first monkey takes some bananas from the pile, keeps two-thirds of them, and gives the remaining third equally to the other two monkeys. The second monkey then takes some bananas, keeps one-third of them, and gives the remaining two-thirds equally to the other two monkeys. The third monkey takes the rest of the bananas, keeps one-sixth of them, and gives the remaining five-sixths equally to the other two monkeys. If each monkey receives a whole number of bananas whenever bananas are divided and the final numbers of bananas each monkey has are in the ratio 4:3:2, what is the smallest total number of bananas in the pile?

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