
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
In triangle \( \triangle ABC\), \( AB = 60 \), and \( AC = 85 \). A circle with center \( A \) and radius \( AB \) intersects \( \overline{BC} \) at points \( B \) and \( Y \). Moreover, \( \overline{BY} \) and \( \overline{CY} \) are also integers. What is \( BC \)?
A) 120  
B) 130  
C) 140  
D) 145  
E) 150

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