using properties of determinants evaluate
`|{:(18,,40,,89),(40 ,,89,,198),( 89,, 198,,440):}|`

Explanation

Let `D=|{:(18,,40,,89),(40,,89,,198),(89,,198,,440):}|`
Let us first reduce the value of elements by performing some operation
Applying `R_(2) to R_(2)-2R_(1) " and "R_(3) to R_(3)-5R_(1)` we get
`D=|{:(18,,40,,89),(4,,9,,20),(-1,,-2,,-5):}|`
Applying `C_(3) to C_(3) -2C_(2)` we get `D=|{:(18,,40,,89),(4,,9,,2),(-1,,-2,,-1):}|`
Now apply `C_(1) to C_(1)-2C_(3)` to get zeros in `C_(1)`
`D=|{:(0,,40,,9),(0,,9,,2),(1,,-2,,-1):}|=1|{:(40,,9),(9,,2):}|=80 -81=-1`