
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
Let the score of the student in the first four tests be represented as $x$, and the score in the last test be represented as $y$. Given that the score in each test is between 0 and 100, and the student scored higher in the last test, it follows that $x < y$. The average score across the five tests was 82, calculate the number of possible values for $y$.

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