
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 a test and her score on that test are inversely related. Additionally, the hours she spends studying for the test directly affects her score. On her first exam, she got 6 hours of sleep and scored 60 on the exam after studying for 3 hours. She plans to study for 5 hours for her second exam. To the nearest tenth, how many hours of sleep must Mary plan to get the night before her second exam so that the average of her two exam scores is 75?

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