
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
It is the New Year, and students are making handicrafts to give to the elderly at a senior home. Initially, the arts group students worked on it for one day. Then, an additional 15 students joined them, and together they worked for two more days to complete the task. Assuming every student works at the same rate, and if one student were to do it alone, it would take 60 days to complete the project, how many students are in the arts group?

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