
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 modified version of Dean’s calculator game, there are now 45 participants sitting in a circle, including Dean. Dean has three calculators; the first shows 1, the second shows 0, and the third shows -2. Dean now performs the following: he cubes the value on the first calculator, squares the value on the second calculator, and negates the value on the third calculator. All the participants, including Dean, perform the same operations in their turn and then pass the calculators to the next person. After each calculator has been passed around the entire circle once and returns to Dean, he sums the numbers displayed on all three calculators. What sum does Dean get?

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