
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
Given that a group of students sit around a large circular table and a bag containing $120$ pieces of candy is passed around, with each person taking two candies and the bag starting and ending with Chris, determine the possible number of students at the table.

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