
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
At Logical Learning, to pass the final exam which includes both algebra and geometry sections, a student must score at least \(85\%\) in each section separately to pass. If the algebra section consists of 40 problems and the geometry section has 30 problems, what is the greatest number of problems a student can miss in each section and still pass?

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