
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
Carlos has a collection of marbles. When he divides his marbles into groups of 5, 7, or 11, he has one marble left over in each case. Additionally, when he divides them into groups of 4, he has 2 marbles left. Assuming Carlos has more than one marble, what is the smallest possible number of marbles Carlos could have in his collection?

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