
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
Mr. Maple teaches two different mathematics classes, one with 12 students and another with 13 students. Each class meets thrice a week. Every class period, Mr. Maple picks a random student from each class to solve a problem on the board. How many different sequences of students solving problems are possible for both classes combined in a week?

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