
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 now released a new version of their alphabet soup where each of the vowels (A, E, I, O, U) appears six times, and each vowel can appear no more than three times in any five-letter word formed. How many such five-letter words can be formed from this modified vowel soup?

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