
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
Simplify:<br/>$(1)4a^{3}+2b-2a^{3}+b$;<br/>$(2)2x^{2}+6x-6-(-2x^{2}+4x+1)$;<br/>$(3)3(3a^{2}-2ab)-2(4a^{2}-ab)$;<br/>$(4)6xy^2-[2x-\frac{1}{2}(2x-4xy^2)-xy^2]$.

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