
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 called Advanced Vowel Soup, where each vowel (A, E, I, O, U) appears seven times, and each bowl contains two consonants (B and C), each appearing three times. How many seven-letter sequences can be formed using the letters from a bowl of this Advanced Vowel Soup, assuming that each sequence must contain at least one vowel and at least one consonant?

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