
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
If $\overrightarrow{a}=(x,2)$, $\overrightarrow{b}=(\frac{1}{2},1)$, $\overrightarrow{c}=\overrightarrow{a}+2\overrightarrow{b}$, $\overrightarrow{d}=2\overrightarrow{a}-\overrightarrow{b}$, and $\overrightarrow{c}$ ∥ $\overrightarrow{d}$, calculate $\overrightarrow{c}-2\overrightarrow{d}$.

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