
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
How many ways can you arrange 4 different mathematics books and 4 different history books on a shelf if all the mathematics books must stay together, and all the history books must stay together, with the additional requirement that a specific mathematics book (let's call it M1) must be the first book in the mathematics group?

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