
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 number of gallons of coffee a mathematician drinks on any given day is inversely proportional to how much sleep he gets the night before and directly proportional to the number of hours he works extra beyond his usual schedule. On Monday, he got 8 hours of sleep, worked 2 extra hours, and drank 4.5 gallons of coffee. On Wednesday, he got 4 hours of sleep and worked 3 extra hours. How many gallons of coffee did he drink?

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