
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
John's physics exam consisted of 90 problems: 20 on mechanics, 40 on thermodynamics, and 30 on optics. John answered $80\%$ of the mechanics, $50\%$ of the thermodynamics, and $70\%$ of the optics problems correctly. To pass the exam, he needed to have at least $65\%$ of the problems right. How many more questions would John have needed to answer correctly to earn a passing grade?

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