
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
Mary believes that the amount of sleep she gets the night before an exam and her score on that exam are inversely related. On her first exam, she got six hours of sleep and scored 60 on the exam. To the nearest tenth, how many hours does Mary believe she must sleep the night before her second exam so that the average of her two exam scores is a 75?

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