
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]


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40 students sit in a circle, each assigned a number from 1 to 40. A teacher randomly selects a student to start, and this student begins counting clockwise from 1 to 3. Any student who counts 1 or 2 must leave the circle. This process continues until only one student remains. If the last student remaining is number 37, which student did the teacher initially select?

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