
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
Determine how many five-letter words can be formed where the first and last letters are the same vowel (a, e, i, o, u), and the remaining three letters can be any letters from the alphabet.

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