
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 2007 AMC 12 will be scored by awarding 7 points for each correct response, -1 point for each incorrect response, and 1 point for each problem left unanswered. Sarah decides to attempt the first 26 problems of the 30 and leave the last 4 unanswered. How many of the first 26 problems must she solve correctly to score at least 150 points?

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