
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
Jack walked up a hill at a speed of $(x^2 - 7x - 18)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2 + x - 72)$ miles in $(x + 8)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour?

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