
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/>$(1)\left(-2.4\right)+\left(-3.7\right)+\left(-4.6\right)+5.7$;<br/>$(2)\left(-8\right)+\left(-6\right)-\left(+4\right)-\left(-10\right)$;<br/>$(3)(-\frac{1}{2})-(-3\frac{1}{4})+(+2\frac{3}{4})-(+5\frac{1}{2})$;<br/>$(4)|-45|+\left(-71\right)+|-5-\left(-9\right)|$;<br/>$(5)|-2\frac{1}{2}|+(-3.7)+|-(+2.7)|-|-(7\frac{1}{2})|$;<br/>$(6)(-3)×\frac{5}{6}×(-\frac{4}{5})×(-\frac{1}{4})$.

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