The expression23−4⋅7−5 is equal to -10 However, we can obtain values different than -10 by inserting a single set of parentheses. For example, we can insert parentheses around 23-4 and get:
(23−4)⋅7−5.
Find how many values can be obtained in total in this way, including -10.
Note: inserting parentheses so there is implied multiplication is not allowed. For example:
2(3−4⋅7)−5
should not be counted.