
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
(1) Compute $\dfrac {1}{2}a^{2}bc^{3} \cdot (-2a^{3}b^{2}c)^{2}$;
(2) Compute $(25m^{2}+15m^{3}n-20m^{4}) \div (-5m^{2})$;
(3) Compute $(2x- \dfrac {1}{2}y)^{2}$;
(4) Compute $(-4)^{2}-|- \dfrac {1}{2}|+2^{-2}-2014^{0}$.

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