
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
Sarah's bowling score was 50 points more than Greg's, and the average of Sarah's and Greg's scores is 110. Also, Jane's score is the average of Sarah's and Greg's scores. What was Jane's score?

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