
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 an expanded version of SHORT BINGO, the first column of a $5 \times 5$ card must consist of five distinct numbers chosen from the set $1-15$, arranged in any order. Additionally, the sum of these 5 numbers must be a multiple of 5. How many distinct possibilities are there for the values in the first column of this SHORT BINGO card?

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