
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
The Acme Corporation now offers a revised Vowel Soup, where the vowels A, E appear 6 times each, while I, O, U still appear 5 times each. How many six-letter "words" can be formed using only the vowels from this bowl of soup? These "words" do not need to be actual English words.

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