
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 companies at a conference. At the start of the conference, every individual shakes hands only once with each person except the ones from their company and except representatives from the first company do not shake hands with the last company's representatives. How many handshakes occur?

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