
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
I am playing a new walking game where on move 1, I do nothing, but on move \( n \) where \( 2 \le n \le 30 \), I take two steps forward if \( n \) is prime and one step backward if the number is composite. After all 30 moves, I stop and walk back to my original starting point. How many steps long is my walk back?

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