
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 that the cube root of $7a+1$ is $\frac{1}{2}$, and the square root of $8a+b-2$ is $\pm 2$. Find the values of $a$ and $b$. Also, find the square root of $-8a+3b+3$.

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