
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 \(\vec{a} = (3, 5)\) and \(\vec{b} = (2, -7)\). Find:
a) \(\vec{a} + \vec{b}\)
b) \(\vec{a} - \vec{b}\)
c) \(4 \vec{a}\)
d) \(-0.5 \vec{b}\)

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