
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 divide a pile of bananas. The first monkey takes some bananas from the pile, keeps two-thirds of them, and divides the rest equally between the other two. The second monkey then takes some bananas from the pile, keeps one-third of them, and divides the rest equally between the other two. The third monkey takes the remaining bananas from the pile, keeps one-sixth of them, and divides the rest equally between the other two. Assuming each monkey receives a whole number of bananas when the bananas are divided, and at the end, they have bananas in the ratio $4:3:2$. What is the least number of bananas in the total pile?

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