
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
A cyclist travels 150 miles from point $C$ to point $D$ at a speed of 30 miles per hour and then returns to $C$. If the average speed of the round trip is 25 miles per hour, what is the speed, in miles per hour, of the cyclist traveling back from $D$ to $C$?

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