
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 new game, 42 participants (including Dean) are seated in a circle. Dean starts with three calculators showing 2, -2, and 3. He first squares the number on the calculator showing 2, negates the number on the calculator showing -2, and cubes the number on the calculator showing 3. After performing these operations, he passes the calculators to the next person, who repeats the same operations on each calculator. This continues until each participant has operated the calculators once and they return to Dean. What is the total sum on the calculators when they get back to Dean?

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