
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 test consisting of 80 problems (15 arithmetic, 30 algebra, and 35 geometry), Tori answered 80% of arithmetic, 40% of algebra, and 60% of geometry questions correctly. Unfortunately, she did not pass because the passing grade was set at 65%. How many more questions would she have needed to answer correctly to pass the test?

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