
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
Ms. Thompson awards extra credit on a history quiz to her students with quiz grades that exceed the class mean. Given that 150 students take the same quiz, what is the largest number of students who can be awarded extra credit?

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