
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/>$(1)a^{3}b-2b^{2}c+5a^{3}b-3a^{3}b+2cb^{2}$;<br/>$(2)(2x^2-\frac{1}{2}+3x)-4(x-x^2+\frac{1}{2})$.

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