
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
John drove 150 miles in 3 hours. His average speed during the first hour was 45 mph, and he stopped for 30 minutes. His average speed during the next 45 minutes was 50 mph, and the remaining duration was driven at an unknown average speed v mph.

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