
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
The scoring for a certain math competition is as follows: $8$ points for each correct response, $0$ points for each incorrect response, and $2$ points for each problem left unanswered. After reviewing the $25$ problems, Sarah has decided to attempt the first $20$ and leave the last $5$ unanswered.
How many of the first $20$ problems must she solve correctly in order to score at least $110$ points?

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