
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
Five plastic bottles can be recycled to make a new bottle. Starting with 3125 plastic bottles, how many new bottles can eventually be made? (Remember that the first new bottles that are made can then be recycled into even newer bottles!) Do not include the original 3125 bottles in your count.

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