
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 student's time spent studying is inversely proportional to the number of video games he plays. On one day, he studied for 4 hours and played 3 video games. The next day, he studied for 6 hours. How many video games did he play on the second day? And, if on the third day he played 6 video games, how long did he study?

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