
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 vectors $\overrightarrow{a}=(m,1)$ and $\overrightarrow{b}=(m^{2},2)$, find the value of $m$ such that there exists $\lambda \in \mathbb{R}$ such that $\overrightarrow{a} + \lambda\overrightarrow{b} = \overrightarrow{0}$.

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