
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 \( (x^2 - 13x - 30) \) miles per hour. Meanwhile, Jill walked a total distance of \( (x^2 - 5x - 84) \) miles in \( (x + 7) \) 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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