
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
Henry, Liz, Jack, and Tara are cycling on a track. Henry cycles at a rate of 5 miles per hour. If Liz cycles $\frac{3}{4}$ as fast as Henry, and Jack cycles $\frac{6}{5}$ as fast as Liz, how fast does Jack cycle? Additionally, if Tara cycles $\frac{9}{8}$ as fast as Jack, what is Tara's cycling speed?

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