Krypto Math Challenge

Krypto is a game where you are given 5 numbers from 1-25, and they have to be mathematically manipulated to get a sixth magic number.

For example:

Five numbers: 8, 5, 12, 19, 6

Magic number: 15

Possible solution: 5 * (19 - (8 * (12 / 6)))

The mathematical operators you can use are:

-Four basic operations (+, -, *, /)

-Exponents (preferably for small numbers)

-Parentheses

-Square root (only for 1, 4, 9, 16, 25)

-Factorials

-Absolute Value

-Negative Numbers

Here are some Krypto challenges for you! Give them a try:

1. Five numbers: 2, 4, 5, 9, 18

Magic number: 13

2. Five numbers: 4, 11, 14, 17, 22

Magic number: 15

3. Five numbers: 3, 7, 11, 14, 23

Magic number: 19

4. Five numbers: 1, 11, 14, 23, 25

Magic number: 7

5. Five numbers: 14, 15, 16, 17, 18

Magic number: 25

6. Five numbers: 11, 13, 17, 19, 23

Magic number: 4

BONUS: Is there a possible combination of five numbers and a magic number where it is IMPOSSIBLE to get the magic number using the mathematical operators? I don't even know the answer to this question.

Good luck and happy solving!