
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
An infinite road has traffic lights at intervals of 1500m. The lights are all synchronised and are alternately green for  $\frac 32$  minutes and red for 1 minute. For which  $v$  can a car travel at a constant speed of  $v$ m/s without ever going through a red light?

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