
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
Emily's quiz scores so far are: 94, 90, 85, 90, and 105. What score does she need on her sixth quiz to make the arithmetic mean of the six scores equal 95, given that her sixth score must be higher than her lowest previous score?

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