
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
First-year students admitted to the university were divided into study groups such that each group had the same number of students. Due to a reduction in the number of specializations, the number of groups was reduced by 4, and all first-year students were redistributed into groups; the groups again had equal numbers of students, with fewer than 30 students in each group. It is known that there were a total of 2808 first-year students. How many groups are there now?

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