
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
In a dance class, students form five groups for a performance. Each group has over 40 students, with four groups having the same number of students and one group having two more students than the others. What is the smallest possible number of students in this dance class?

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