
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
How many different numbers are obtainable from five 5s by first concatenating some of the 5s, then multiplying them together? For example, we could do \(5 \cdot 55 \cdot 55555 \cdot 55\), or 55555, but not \(5 \cdot 5\) or 2525.

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