
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 the 150 kilometers from $C$ to $D$ uphill at 25 kilometers per hour, then returns to $C$ downhill at a faster speed. If the average speed for the round trip is 35 kilometers per hour, what is the downhill speed, in kilometers per hour, of the cyclist traveling from $D$ to $C$?

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