Round #543
09 May 2026, 23:10· csharp· Meta-Llama-3.3-70B-Instruct· r13-clean-hints
- Complexity
- band 0
- ZP / UO / OBS
- 3 / 0 / 2
- Journey weight
- 317
- Lightshift ΔL
- —
Prompt
Solve for x: 3x + 7 = 22
Zero-point index (what the engine surfaced)
ZPI-ZPI-0002 | 2026-05-09T23:10:18Z
Solve for x: 3x + 7 = 22
ZERO POINT — 3 entries (structural invariants)
● hsl(7.18, 100%, 50%) class [feature]
● hsl(0.00, 100%, 50%) public [feature]
● hsl(84.10, 100%, 50%) namespace [feature]
UNOBSERVED — 0 entries (implied truths)
OBSERVED — 2 entries (explicit in request)
◉ hsl(148.72, 100%, 15%) + [feature]
◉ hsl(175.38, 100%, 18%) = [feature]
COMPLEXITY │ 5 entries │ spread: 27° │ band: LOW
Baseline response (no ZPI)
To solve for x, we need to isolate x on one side of the equation. Here's the step-by-step solution:
3x + 7 = 22
Subtract 7 from both sides:
3x = 22 - 7
3x = 15
Divide both sides by 3:
x = 15 / 3
x = 5
Therefore, the value of x is 5.
Enhanced response (with ZPI)
```csharp
using System;
class Program
{
static void Main()
{
// Define the equation
double a = 3; // coefficient of x
double b = 7; // constant term on the left side
double c = 22; // constant term on the right side
// Solve for x
double x = (c - b) / a;
Console.WriteLine("The value of x is: " + x);
}
}
```
This C# program solves the linear equation 3x + 7 = 22 for x. It first defines the coefficients and constants in the equation, then calculates the value of x by subtracting the constant term on the left side from the constant term on the right side and dividing the result by the coefficient of x. The result is then printed to the console.
When you run this program, it will output: `The value of x is: 5`. This is because (22 - 7) / 3 = 15 / 3 = 5.
Grader chain
Each grader reads the same baseline + enhanced pair and casts an independent verdict. Disagreement is the framework's own signal — not noise to be averaged away.
V1samba/Meta-Llama-3.3-70B-Instruct
BetterV4qwen2.5-coder-3b-instruct
BetterV5openrouter/qwen/qwen3-235b-a22b-2507
BetterV7qwen2.5-coder-7b-instruct
BetterV8openai/gpt-4.1
BetterV9anthropic/claude-opus-4-7
BetterV12openai/gpt-4o
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