
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, 53 participants (including Sam) are seated in a circle with Sam holding three calculators, showing values 2, -2, and 5 respectively. Sam starts by squaring the number on the first calculator, cubing the number on the second calculator, and adding 2 to the number on the third calculator. Every participant repeats the same operations on the calculators before passing them to the next person. After all calculators have circulated back to Sam, each person having operated them once, Sam computes the sum of the numbers displayed on all calculators. What is the final sum?

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