
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 literature course, the students are assigned to read a $950$-page biography. Two friends, Dave and Emma, are also enrolled in this course. Dave reads a page in $40$ seconds and Emma reads a page in $50$ seconds. They decide to split their reading where Dave will start from page $1$ and read up to a certain page, and Emma will read from the next page through the end, aiming to spend equal times reading. Determine the last page Dave should read to achieve this balance.

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