
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 Rotokas of Papua New Guinea have twelve letters in their alphabet: A, E, G, I, K, O, P, R, S, T, U, and V. Suppose license plates of five letters use only the letters in the Rotoka alphabet. How many license plates of five letters are possible that begin with either A or E, end with V, cannot contain I, and have no letters that repeat?

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