[tex]\begin{gathered} \text{Let's four consecutive integers are as,} \\ x,x+1,x+2,and\text{ }x+3. \\ So,\text{ } \\ x+x+1+x+2+x+3=-142 \\ 4x+6=-142 \\ 4x=-142-6 \\ x=\frac{-148}{4} \\ x=-37(1st\text{ number)} \\ x+1=-36(2nd\text{ number)} \\ x+2=-35(3rd\text{ number)} \\ x+3=-34(4th\text{ number)} \end{gathered}[/tex]