
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 mathematician's coffee consumption is inversely proportional to both the hours of sleep he gets and the intensity of his work, measured in hours. On a particular Monday, he slept for 8 hours and worked 4 intense hours, consuming 1 gallon of coffee. On the following Tuesday, he slept for 5 hours and worked 7 intense hours. How many gallons of coffee did he drink?

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