
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 modified their alphabet soup recipe. Now, each of the vowels A, E, I, O appears six times and the vowel U appears only three times in the soup. How many six-letter strings (they do not need to form actual words) can be formed from this new bowl of Acme Modified Vowel Soup?

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