
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
A geologist challenges participants in a contest to guess the age of a colourful mineral. The age of the mineral consists of the six digits 2, 2, 4, 4, 7, and 9, and must begin with an odd digit.

How many possibilities are there for the mineral's age?

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