Here is the puzzle :
57 1 0 72 A 45 6 3 54 33 12 6 36 R L I Z D I = A D = L
The order of the missing numbers represents a reptile name.
Q = 17
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Continuing from avenger12's answer
Summary of known information:
Solving for the numeric values of the letters by following the pattern of the columns:
57, 45, 33, (R=21)
1, 6, 12, (L=19)
0, 3, 6, (I=9)
72, 54, 36, (Z=18)
Given that I=A and D=L, we have:
R = 21
L = D = 19
I = A = 9
Z = 18
Given the first hint, these numbers should be arranged in the order that they appear in the reptile name:
L I Z A R D
19 9 18 9 21 19
Given the second hint:
Each resulting number corresponds to the letter at the same position in the alphabet. (Q is the 17th letter of the alphabet)
19 → S
9 → I
18 → R
21 → U
Therefore, the hidden word is:
Rookie attempt, I'm not sure it looks this easy, but here goes nothing.
The reptile word is:
Lizard so I assume to solve for missing numbers in that order.
Solving for L:
We start of with 1, then 6, then 12, so the pattern I recognize is that 6-1 = 5 and 12-6 = 6. Thus my best guess is that the difference between 12 and the next number will be 7 so L = D = 19.
Solving for I:
Each number in this column is incremented by 3. Thus, I = A = 9
Solving for Z:
Each number in the column decreases by 18 so Z = 18.
Solving for R:
Each number in the column decreases by 12 so R = 21.