
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 student must schedule 3 mathematics courses — algebra, geometry, and number theory — in a 7-period day, such that at most one pair of mathematics courses can be taken in consecutive periods. Calculate the total number of ways this can be done.

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