
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
At the start of a new game, Dean and 42 other participants (totaling 43) have three calculators with starting values of 2, 1, and -1 respectively. Dean starts the game by doing the following operations: squaring the calculator that shows 2, cubing the one that reads 1, and negating the -1. After his turn, each participant repeats the same operations on their respective calculators before passing them to the next person. After everyone has had one turn, Dean adds up the results shown on the calculators. What is the final sum Dean observes?

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