
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 2022 AMC 12 awards 7.5 points for each correct response, deducts 2 points for each incorrect response, and grants 2 points for each problem left unanswered. Olivia decides to attempt the first 15 problems and leave the last 10 unanswered. How many of the first 15 problems must she solve correctly to score at least 120 points?

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