
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 60 participants (including Sam) seated in a circle. Sam starts with 4 calculators. Their initial readings are 1, 0, -1, and 2 respectively. Sam performs the following operations: he cubes the number on the first calculator, squares the number on the second, negates the number on the third, and multiplies the number on the fourth calculator by 3. After performing these operations, he passes the calculators to the next participant, who repeats the same operations. This continues until each participant has operated the calculators once. What is the final sum of the numbers on the calculators when they return to Sam?

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