What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, and divided by 3 leaves a remainder of 2?

59

Step-by-step explanation:

If a number is divided by and leaves a remainder , then the number will be completely divisible by .

Therefore, when we say a number , when divided by 6, it leaves a remainder 5, then () will be a multiple of 6.

When we say a number , when divided by 5, it leaves a remainder 4, then () will be a multiple of 5.

When we say a number , when divided by 4, it leaves a remainder 3, then () will be a multiple of 4.

When we say a number , when divided by 3, it leaves a remainder 2, then () will be a multiple of 3.

So, is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1