The Number Game

[Thurhame]

How it works: The first poster generates four random digits (0-9) and a random target value (10-100). Then people try to use the digits,

in their original order

, to reach the target value. For example, if the digits are "1" "2" "3" "4" and the target value is "24", then "(1+2+3)*4=24" is an answer. The first person to solve it will then post the next set of random numbers.

Allowed Operations

• multi-digit numbers; for example if "2" and "5" are next to each other you can combine them for "25"
  
• decimals; for example you can use "3" as either ".3" or ".3 repeating" (i.e. ".333333333...")
  
• basic operations; + - * /
  
• exponents; ^
  
• square roots; for example "9" -> "sqrt(9)" = 3
  
• other roots; for example "3" "8" -> "3rd root (8)" = 2

[Thurhame]

Original Roll String: 4d10

4 10-Sided Dice: (9, 10, 9, 9) = 37

Original Roll String: 1d91+9

1 91-Sided Dice: (9)+9 = 18

[Thurhame]

So the first set of numbers is "

2

", "

9

", "

7

", "

6

"; and the target number is "

40

".

[Thurhame]

8+95-6 = 97

Original Roll String: 4d10

4 10-Sided Dice: (3, 10, 7, 8) = 28

Original Roll String: 1d91+9

1 91-Sided Dice: (86)+9 = 95

[Thurhame]

You need to use them in order.

So you could use 3^4, but not 4^3.

[Thurhame]

sorry; didn't realize that wasn't clear. i'll edit the op

[Thurhame]

sqrt(.5th_root(99)) - 5 = 94

Original Roll String: 4d10

4 10-Sided Dice: (8, 6, 3, 8) = 25

Original Roll String: 1d91+9

1 91-Sided Dice: (67)+9 = 76

[Thurhame]

^that's 0, 5, 2, 8

[Thurhame]

-7 + .5th_root(sqrt(9)+3) = 29

Original Roll String: 4d10

4 10-Sided Dice: (4, 9, 5, 10) = 28

Original Roll String: 1d91+9

1 91-Sided Dice: (16)+9 = 25

[Thurhame]

9-1+49 = 57

Original Roll String: 4d10

4 10-Sided Dice: (1, 6, 2, 6) = 15

Original Roll String: 1d91+9

1 91-Sided Dice: (19)+9 = 28

[Thurhame]

Ouch. Maybe I shouldn't have included 0 as a digit.
Does anyone else see a solution to that one?

[Thurhame]

That would require a second 0 between the 3 and 2. However, you could get the same result legally with 3*(.2+30).

I'll make a new one.

Original Roll String: 4d9

4 9-Sided Dice: (2, 9, 2, 6) = 19

Original Roll String: 1d91+9

1 91-Sided Dice: (15)+9 = 24

[Thurhame]

Actually, the previous one's pretty easy: 57 + 6/.6r = 66

Don't see a solution to Cheery Dog's yet though.