
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
Amongst the test scores 82, 88, 90, 91, 95, 96, three are Liam's and the other three are Naomi's. Liam's average score is 89. Also, it is known that Naomi's highest score exceeds her lowest score by 10 points. What is Naomi's mean score?

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