
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 3 different companies at a technical conference. At the start of the conference, every person shakes hands once with every other person except with the other representatives from their own company. How many handshakes occur?

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