
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 math competition scores students by awarding 7 points for each correct answer, deducting 2 points for each incorrect answer, and giving 2 points for each unanswered problem. Paul decides to answer the first 18 problems of a 25-question competition and leave the last 7 unanswered. How many of the 18 attempted problems must he solve correctly to score at least 90 points?

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