
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 collector is hosting a competition where participants must estimate the value of a rare coin using assigned digits. The coin's value is formed from seven digits: 1, 2, 2, 4, 4, 5, and 9, and the value must start with an odd digit. 

How many different possible values can the rare coin have?

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