
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
Mr. Patrick teaches math to $20$ students. He was grading tests and noticed that when he graded everyone's test except Oliver's, the average grade for the class was $82$. After grading Oliver's test, the average grade became $84$. If Oliver's score was twice the score of the last student whose paper was graded before him, determine the score of the last student.

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