The formula for spring factor in a shoe insole is , where w is the width of the insole in centimeters and x is the grade of rubber on a scale of 1 to 9. What is the maximum spring factor for an insole that is 3 centimeters wide?

If x¤y=(x+y)²−(x−y)². Then ¤=

If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?

For all positive real numbers, x and y, let x⊛y=. What is the value of 9⊛2 ?

If the operation @ is defined by x@y= for all positive numbers x and y, then (5@45)@60 =

If c ♣ d=, where c≠zero , what is the value of 12 ♣ 3?

If h∬j=2h–3j, what does 3∬2= ?

For all positive integers m, [m] = 3m when m is odd and [m] = ()m when m is even. What is [9]x[6] equivalent to?

If < x # > = the least integer greater than x, what is the result of the following mathematical operation?

< 3 .2 # > - < -2.5 # >

For any number x, x^ is defined as the greatest integer that is less than x. What is (3.7)^ + (-3)^?