
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
Eugene, Carlos, and Sam are cycling on a trail. Eugene cycles at a rate of 5 miles per hour. If Carlos cycles at $\frac{4}{5}$ the speed of Eugene, and Sam cycles at $\frac{3}{4}$ the speed of Carlos, how fast does Sam cycle?

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