
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 modified version of the AMC 10, the scoring system awards $7$ points for each correct response, deducts $1$ point for each incorrect response, and gives $2$ points for each problem left unanswered. After reviewing the $25$ problems, Mark decides to attempt the first $21$ and leave the last $4$ unanswered. How many of the first $21$ problems must he solve correctly to score at least $120$ points?

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