
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
Choose any three out of the following four quadratic equations and solve them using appropriate methods.<br/>$(1)3x^{2}-2x-1=0$;<br/>$(2)\left(y+1\right)^{2}-4=0$;<br/>$(3)t^{2}-6t-7=0$;<br/>$(4)m\left(m+3\right)-2m=0$.<br/>I choose question number ______.

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