
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 the following:<br/>$(1)\left(-1\right)^{2018}-\left(3-\pi \right)^{0}+(-\frac{1}{3})^{-2}$;<br/>$(2)\left(-2xy\right)^{2}+3xy\cdot 4x^{2}y\div \left(-2x\right)$;<br/>$(3)\left(x-5\right)\left(2x+5\right)-2x\left(x-3\right)$;<br/>$(4)\left(2a+1\right)^{2}-\left(2a+1\right)\left(2a-1\right)$;<br/>$(5)\left(m+n\right)\left(m-n\right)(m^{2}+n^{2})$;<br/>$(6)$ Simplify: $102\times 98$.

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