
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
How many 4-letter words can be formed from the letters A, B, C, D, and E, if we are allowed to repeat letters, and we must use at least one vowel (A or E)?

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