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🧮 Math Tutorial

Terminus Math Puzzle — How the Formulas Work

Understand the 3 equations behind the Terminus puzzle in Call of Duty: Black Ops 6 (2024) Zombies

The 3 Terminus Formulas Explained

The Terminus puzzle uses three variables — X, Y, and Z — each assigned one of 6 symbol values: 0, 10, 11, 20, 21, or 22. These symbols are found on sticky notes in the Research Office. The three formulas below convert your symbol values into a 3-digit code.

Formula 1:   2X + 11

How it works: Take the X value, multiply by 2, then add 11.

Why +11? 11 is a constant offset. Even if X = 0, you still get a code of 11. This ensures the first code is always at least 11.

Possible results:
X=0 → 11  |  X=10 → 31  |  X=11 → 33  |  X=20 → 51  |  X=21 → 53  |  X=22 → 55

Formula 2:   (2Z + Y) - 5

How it works: Double the Z value, add the Y value, then subtract 5.

Note: This formula uses both Z and Y. The -5 offset means when both are 0, the result is -5. Yes, the code can be negative.

Example calculations:
Z=0, Y=0 → -5  |  Z=11, Y=22 → 39  |  Z=22, Y=22 → 61

Formula 3:   |Y + Z - X|

How it works: Add Y and Z, subtract X, then take the absolute value (remove the negative sign if the result is negative).

What's absolute value? It means "distance from zero." So |-22| = 22 and |23| = 23. The result is always 0 or positive.

Example calculations:
Y=0, Z=0, X=22 → |0+0-22| = 22  |  Y=22, Z=11, X=10 → |23| = 23

Worked Examples

Practice with these real symbol combinations

Example: X = 10, Y = 22, Z = 11

1st code: 2(10) + 11 = 20 + 11 = 31
2nd code: (2×11 + 22) - 5 = (22 + 22) - 5 = 44 - 5 = 39
3rd code: |22 + 11 - 10| = |23| = 23

Enter on terminal: 31 — 39 — 23

More Examples

X Y Z 2X+11 (2Z+Y)-5 |Y+Z-X|
0 0 0 11 -5 0
10 22 11 31 39 23
22 0 10 55 15 12
11 20 21 33 57 30
20 11 0 51 6 9
0 22 22 11 61 44

Too much math during a zombie round? Use our free Terminus Calculator — just tap 3 symbols and get the code. Or check the full reference table for all 216 combinations.

Terminus Symbol Values

Match the symbols on your sticky notes to these values

Terminus symbol 0
0
Terminus symbol 10
10
Terminus symbol 11
11
Terminus symbol 20
20
Terminus symbol 21
21
Terminus symbol 22
22

Terminus Math Puzzle FAQ

How to solve the Terminus math puzzle? +

Find X, Y, Z symbols in the Research Office. Each symbol = a value (0, 10, 11, 20, 21, 22). Apply: 2X+11, (2Z+Y)-5, |Y+Z-X|. Enter the 3 results on the terminal. Or use our free calculator at terminus-calculator.cc.

What is the Terminus math equation? +

Three equations: First = 2X + 11, Second = (2Z + Y) - 5, Third = |Y + Z - X| (absolute value). X, Y, Z range from 0 to 22. These are fixed formulas in Call of Duty: Black Ops 6 Zombies.

How to do the Terminus math without a calculator? +

Step by step: 1) Double X, add 11. 2) Double Z, add Y, subtract 5. 3) Add Y and Z, subtract X, remove minus sign if negative. Example: X=10, Y=22, Z=11 → 31, 39, 23.

Why does the third formula use absolute value? +

The absolute value |Y+Z-X| ensures the result is always non-negative. If Y+Z is less than X, the answer would be negative, so the game takes the positive version. For example, |0+0-22| = |-22| = 22.

What's the range of possible Terminus codes? +

First code: 11 to 55. Second code: -5 to 61. Third code: 0 to 44. With 6 possible values per variable, there are 216 total symbol combinations.

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