
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 aluminum cans can be recycled to make a new can. How many new cans can eventually be made from 3125 aluminum cans? (Remember that the new cans made can then be recycled into even newer cans!) Do not include the original 3125 cans in your count.

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