
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
A pile of apples is known to be more than 50 but less than 70. They can be divided into two piles, three piles, and also five piles. How many apples are there in this pile? It can also be divided into 1, 2, 4, 6, 10, 12, 15, 20, 30, 60 piles.

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