
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
Let the vector $\overrightarrow {a} = (-1, 2)$, and vector $\overrightarrow {b} = (m, 1)$. If the vector $\overrightarrow {a} + 2\overrightarrow {b}$ is parallel to $2\overrightarrow {a} - \overrightarrow {b}$, then find the value of $m$.
A) $- \frac {7}{2}$
B) $- \frac {1}{2}$
C)  $\frac {3}{2}$
D)  $\frac {5}{2}$

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