
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
Determine the number of points common to the graphs of the equations $(x-2y+1)(4x+y-5)=0$ and $(x+3y-6)(x^2-7y+10)=0$.
A) 0
B) 1
C) 2
D) 4
E) 5

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