
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
Calculate:
1. $|-8|+(-6)-(-12)$.
2. $(\frac{1}{2}-\frac{3}{4}-\frac{5}{6}) \times (-12)$.
3. $-3^2+2 \times (-3)+(-6) \div (-\frac{1}{3})$.
4. $3(x^{2}-y)+2(y+2x^{2})$.

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