
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 license plates consist of 3 letters followed by 2 digits, where the first letter must be a vowel (A, E, I, O, U), and one of the digits must be odd, the other must be even, and one of the digits must be greater than 5?

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