Evaluate the numerator first by order of operations.

Evaluate the denominator by order of operations.  Double negatives will equal a positive.

Divide the numerator with the denominator and reduce the fraction.

When multiplying two negative numbers, their product becomes positive. Thus,

According to the order of operations, the operation inside the parentheses, which is the subtraction, is performed first.

This leaves a multiplication, a division, and an addition. By the order of operations, the multiplication and the division come next in left-to-right order; we choose the one that is to the left, which is the multiplication.

According to the order of operations, since no grouping symbols are present (the parentheses are setting apart a negative number, not an operation), multiplication and the division must be performed, left to right, then the addition and the subtraction must be performed, left to right.

This means that the first two operations to be performed are the multiplication and the division. This leaves a subtraction and an addition; since the subtraction is at left, it is the third operation performed.

According to the order of operations, since no grouping symbols are present (the parentheses are setting apart a negative number, not an operation), the exponentiation (the cubing) is worked first, then the multiplication, then the addition.

According to the order of operations, since no grouping symbols are present (the parentheses are setting apart a negative number, not an operation), the exponentiation must be performed first, followed by the multiplication. The remaining subtraction and addition are performed in left-to-right order, so the subtraction is worked next, and the addition is the final operation performed.

According to the order of operations, the operation inside the parentheses, which is the subtraction, is performed first. This leaves a multiplication and an exponentiation (the squaring); by the order of operations, the squaring is performed next, then the multiplication.

If both the base and exponent of an exponential expression are integers, then the expression is undefined if and only if the base is 0 and the exponent is 0 or negative. For to be undefined, it must hold that , or .

is the only possible choice; note that , an undefined quantity.

In the order of operations, additions and subtractions are performed left to right. Therefore, the four operations are performed in the following order: leftmost addition, leftmost subtraction, rightmost addition, rightmost subtraction. Therefore, the rightmost addition is performed third.

The square root of a number is the number which, when squared - multiplied by itself - yields that number as its result. Recall that when two negative numbers are multiplied together they result in a positive numbers.

Therefore, negative 37 is the square root of