
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
Alice took a mathematics test consisting of 90 questions: 15 arithmetic, 35 algebra, and 40 geometry problems. She answered $80\%$ of the arithmetic, $50\%$ of the algebra, and $70\%$ of the geometry problems correctly. However, she failed to pass the test as she got less than $65\%$ of the total problems right. How many more questions would she have needed to answer correctly to earn a $65\%$ passing grade?

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