
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
Luna decides to read a new book titled "The Geometry of Stars". On the first day, she reads \( \frac{1}{6} \) of the pages plus 10 more. On the second day, she reads \( \frac{1}{3} \) of the remaining pages plus 20 more. On the third day, she reads \( \frac{1}{2} \) of the remaining pages plus 25 more. She then finds that there are 120 pages left, which she plans to read the next day. How many pages are in this book?
A) 450
B) 500
C) 552
D) 600
E) 650

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