
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
When Alice divides her apples into groups of nine, ten, or eleven, she has two apples left over. Assuming Alice has more than two apples, what is the smallest possible number of apples in Alice's collection?

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