
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
Given the sets $M=\left\{ (x,y) \mid y=3x^{2} \right\}$ and $N=\left\{ (x,y) \mid y=5x \right\}$, determine the number of elements in the intersection of $M$ and $N$, denoted as $M \cap N$.

A) $0$
B) $1$
C) $2$
D) $3$

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