
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
Lynnelle took 10 tests in her math class at Stanford.  Her score on each test was an integer from 0 through 100.  She noticed that, for every four consecutive tests, her average score on those four tests was at most 47.5.  What is the largest possible average score she could have on all 10 tests?

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