
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
There are 5 representatives from each of 5 companies at a conference. At the beginning of the conference, every person shakes hands once with every person except the other representatives from their company. How many handshakes are there?

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