
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
If several students seated at a circular table pass a bag containing 120 pieces of candy, with each person taking two pieces and passing the bag to the next person, and given that Mia takes the first and the last pieces of candy, determine the possible number of students at the table.

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