
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
A new version of Acme Corporation's alphabet soup has been released. In this version, each bowl contains each vowel (A, E, I, O, U) of the English alphabet, but now A appears 8 times, E appears 3 times, I appears 6 times, O appears 4 times, and U appears 5 times. How many different five-letter sequences can be formed if you must use each vowel at least once?

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