
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 school assembly, students are divided into five groups for a performance. Four groups have the same number of students, and one group has two more students than the other four groups. The total number of students is more than 50. What is the smallest possible total number of students in this assembly?

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