
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
Two cyclists, C and D, start from Albany towards New York, a distance of 100 miles. Cyclist C travels 5 mph slower than cyclist D. After reaching New York, D turns back immediately and meets C 20 miles from New York. Find the speed of cyclist C.

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