
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
In a math club, members are practicing problem-solving using a workbook with $1200$ pages. Two members, David and Emily, decide to split the workbook so that both spend the same amount of time practicing. David takes $60$ seconds to solve a page, while Emily takes $40$ seconds. They plan a similar approach where David starts from page $1$ and goes up to a certain page, and Emily starts from the next page and finishes the book. Determine the last page David should solve to ensure both spend the same amount of time on the workbook.

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