
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
Utilizing the twelve-letter alphabet of the Rotokas of Papua New Guinea (A, E, G, I, K, O, P, R, S, T, U, V), imagine the scenario for generating six-letter license plates. How many valid six-letter license plates can be formed that start with either A or E, end with R, cannot contain the letter V, and have no repeating letters?

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