
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 her new test, Tori faced a total of 100 problems consisting of 20 arithmetic, 40 algebra, and 40 geometry problems. She scored 80% in arithmetic, 35% in algebra, and 55% in geometry. The passing mark for this test has been raised to 65%. How many more questions would she have needed to answer correctly to pass this test?

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