
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
Suppose $n = 10$ and Carolyn and Paul play with the same rules, but Carolyn cannot remove prime numbers on her first turn. Determine the sum of the numbers that Carolyn removes if she starts by removing the number $4$.

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