
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
On a different mathematics test, Mina encountered 80 problems: 20 arithmetic, 35 algebra, and 25 trigonometry problems. This time, she answered $75\%$ of arithmetic, $30\%$ of algebra, and $70\%$ of trigonometry problems correctly. Unfortunately, she missed the pass mark as she got fewer than $55\%$ of the problems correct. Determine how many more questions Mina needed to answer correctly to achieve a $55\%$ pass grade.

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