
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
The amount of tea a programmer drinks on a particular day is inversely proportional to the amount of sleep they get and directly proportional to how busy their schedule is. On Wednesday, the programmer got 8 hours of sleep and had a normal day (busyness factor of 1) and drank 3 cups of tea. On Thursday, the programmer got 5 hours of sleep and the day was twice as busy (busyness factor of 2). How many cups of tea did they drink?

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