
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
Jane believes that the amount of sleep she gets the night before a test and her score on that test are inversely related. On her first exam, after sleeping 9 hours, she scored 75 on the exam. What amount of sleep does Jane believe she must get the night before her second exam so that the average of her two exam scores is an 85?

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