
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 the diagram shown, \( M \) is the midpoint of \( PQ \). The line \( PS \) bisects \( \angle RPQ \) and intersects \( RQ \) at \( S \). The line \( ST \) is parallel to \( PR \) and intersects \( PQ \) at \( T \). The length of \( PQ \) is 12 and the length of \( MT \) is 1. The angle \( SQT \) is \( 120^{\circ} \). What is the length of \( SQ \)?

A) 2

B) 3

C) 3.5

D) 4

E) 5

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