
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
Derek earned scores of 92, 86, and 89 on his first three mathematics tests. If Derek receives scores of 94 and 91 on his next two exams, by how much will his average increase?

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