
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 $\triangle ABC$, point $F$ divides side $AC$ in the ratio $2:3$. Let $E$ be the point of intersection of side $BC$ and $AG$ where $G$ is the midpoint of $BF$. Determine the ratio in which the point $E$ divides side $BC$.
A) 3:7  
B) 1:2  
C) 2:5  
D) 5:3  
E) 4:1

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