
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
In a modified card game, a player is dealt a hand of $15$ cards from a deck of $60$ unique cards. The number of distinct (unordered) hands that can be dealt to the player can be written as $660AB5A640A$. Find the digit $A$.

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