
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
Given Pat Peano has plenty of all digits except the number '5', which he has exactly fifteen of, determine how far he can number the pages of his diary if he runs out of '5's.

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