
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
John thinks that the amount of sleep he gets before an exam and his score are inversely related. For his first exam, he got 6 hours of sleep and scored 80 on the exam. He wants to achieve an average score of 85 on the first and second exams combined. To the nearest tenth, how many hours does John need to sleep the night before his second exam to achieve his goal?

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