
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
A high school with 30 classes conducts a survey to understand the psychological conditions of the students. Each class is numbered from 1 to 30. Using systematic sampling, 5 classes are selected for the survey. If the sum of the selected numbers is 75, what is the smallest class number selected?

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