
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
Acme Corporation has released a new version of its alphabet soup in which each of the vowels (A, E, I, O, U) appears, but the vowel 'A' appears only three times while the other vowels (E, I, O, U) appear five times each. How many five-letter words can be formed from this new bowl of Acme Vowel Soup?

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