
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
In a sequence of four math tests, a student scored 85, 76, 70, and 88 points respectively. It's known that the average score of these four tests was higher than the average of the first six tests. If the average after eight tests was higher than 80, find the minimum score the student could have gotten on the eighth test.

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