Automated MNLP evaluation report (2026-05-25)

EVAL_REPORT.md

@@ -2,7 +2,7 @@
 
 - **Model repo:** [`cs-552-2026-MandMP/math_model`](https://huggingface.co/cs-552-2026-MandMP/math_model)
 - **Owner(s):** group **MandMP**
-- **Generated at:** 2026-05-24T16:13:44+00:00 (UTC)
+- **Generated at:** 2026-05-25T02:20:01+00:00 (UTC)
 - **Pipeline:** [mnlp-project-ci](https://github.com/eric11eca/mnlp-project-ci)
 
 _This PR is opened automatically by the course CI. It is **non-blocking** — you do not need to merge it. The next nightly run will refresh this file._
@@ -11,7 +11,7 @@ _This PR is opened automatically by the course CI. It is **non-blocking** — yo
 
 | Benchmark | Accuracy | Status |
 |---|---:|---|
-| Math | 0.1700 | ok |
+| Math | 0.1600 | ok |
 | Knowledge | — | not run |
 | Multilingual | — | not run |
 | Safety | — | not run |
@@ -24,54 +24,88 @@ _Prompts are intentionally omitted to avoid revealing benchmark contents. For mu
 
 **Correct** (1 shown)
 
-- **reference**: `23`
-- **overall** (5/8 completions correct)
-- **extracted** (✓): `23`
+- **reference**: `4`
+- **overall** (8/8 completions correct)
+- **extracted** (✓): `4`
 - **completion**:
 
     ```text
-    Okay, so I need to figure out how to express the expression √2 + 1/√2 + √3 + 1/√3 as a fraction with some radicals in the numerator and a rational denominator, and then find the sum of a, b, and c where c is minimized. Alright, let me start by trying to simplify each term first.
+    Okay, so I need to solve the equation 10^x minus 10 equals 9990. Let me write that down first to make sure I have it right: 10^x - 10 = 9990. Alright, so I need to find the value of x that makes this equation true. Let me think about how to approach this.
     
-    First, let me write down the expression again to make sure I have it right:
+    First, I remember that equations involving exponents can sometimes be solved by isolating the exponential term and then taking logarithms. Let
     
-    √2 + 1/√2 + √3 + 1/√3.
+    ... [truncated 822 chars] ...
     
-    Hmm, okay. So each
+    and then try to solve for x, but that would be wrong because the equation is 10^x - 10 = 9990. So if you subtract 10 from both sides, you get 10^x = 9990 - 10 = 9980, which is not 10000. So that would be a mistake. 
     
-    ... [truncated 823 chars] ...
+    But I think the correct approach is adding 10 to both sides. 
     
-    e. So, that gives (3/2)√2 + (4/3)√3. Which is same as before. So, same result.
+    Another possible mistake could be if someone thought that 10^x - 10 = 9990 implies that 10^x = 9990, but that would be incorrect. Because if you subtract 10 from both sides, you get 10^x = 9990 - 10 = 9980. But in reality, the equation is 10^x - 10 = 9990, so adding 10 gives 10^x = 9990 + 10 = 10000. 
     
-    Alternatively, maybe I can write the entire expression as a single fraction by multiplying numerator and denominator by something? Wait, but that's not helpful. For example, suppose I multiply numerator and denominator by √2*√3? Let me try that.
+    So, that's another way to see it. 
     
-    Let me think. Suppose I have (3/2)√2 + (4/3)√3. Let me write this as [ (3/2)√2 + (4/3)√3 ] * [ (2√3 + 3√2) / (2√3 + 3√2) ) ]? Wait, that seems arbitrary. Maybe not helpful.
+    Therefore, the key step is to recognize that 10^x - 10 = 9990 implies 10^x = 10000, which is a power of 10, so x is 4. 
     
-    Alternatively, maybe think of the expression as A√2 + B√3 where A and B are numbers, and then find A and B such that A√2 + B√3 is equal to the original expression. But that's essentially what I did earlier.
+    Alternatively, if someone didn't recognize that 10^4 is 10000, they might have to use logarithms, which is what I did. 
     
-    Alternatively, maybe there's a way to combine the terms with different radicals? For example, if I can write them as something over 6, but that's already done. So I think my answer is correct.
+    So, in conclusion, the solution is x = 4. 
     
-    Therefore, I think the answer is 23. Wait, but let me check once more. Let me check if 9, 8, 6 are positive integers. Yes. And c is minimized. Since 6 is the LCD of 2 and 3, so yes. Therefore, the answer is 23. Therefore, I think the answer is 23.
+    I think that's thorough. I considered different methods, checked my answer by plugging it back in, considered possible mistakes, and confirmed that there's only one solution. So I feel confident that x = 4 is the correct answer.
     
     **Final Answer**
-    \boxed{23}
+    The solution is \boxed{4}.
     </think>
     
-    \boxed{23}
+    \boxed{4}
     ```
 
 **Incorrect** (1 shown)
 
-- **reference**: `82`
+- **reference**: `\frac{270}7\text{ degrees}`
 - **overall** (0/8 completions correct)
 - **extracted** (✗): `<no answer>`
 - **completion**:
 
     ```text
-    Okay, so I need to figure out how many colorings of the 2x2 grid satisfy the condition that each square has exactly two red sides and two blue sides. Let me try to visualize the grid. It's a 2x2 grid, so there are four squares. Each square has four sides, but adjacent squares share sides. The problem says that each square must have exactly two red sides and two blue sides. 
+    Okay, so I need to find the measure of angle BAC in this figure where a square and a regular heptagon share the side AD. Let me try to visualize the Asymptote code they provided. 
     
-    First, let me think ab
+    First, the Asymptote code draws a regular heptagon and a square sharing the side AD. The points A, B, C, D are labeled, with A and D being vertices of the square and heptagon. The square is drawn from A to C to D to F a
     
     ... [truncated 823 chars] ...
     
-    then square D's right side is adjacent to square C? No, square D is to the right of square C, so square D's right side is adjacent to square C? No, square D is adjacent to square C on the left. The right side of square D is adjacent to square C? No, square D is adjacent to square C on the left. The right side of square D is the same as the left side of square C? Wait, no. If you have square C and square D next to each other, then square D's left side is adjacent to square C, and square C's right side is adjacent to square D. Therefore, the left side of square D is adjacent to square C, and the right side of square D is adjacent to square C? No, square D's right side is adjacent to square C? No, square D is adjacent to square C on the left. The right side of square D is adjacent to square D's right side, which is not adjacent to any square. Wait, square D is on the bottom-right corner. Its left side is adjacent to square C, its right side is adjacent to square D's right edge, which is not adjacent to any square. Similarly, its top side is adjacent to square D's top edge, which is not adjacent to any square. Its bottom side is adjacent to square D's bottom edge, which is not adjacent
+    point A is at 90° + 3*(360/7°) = 90° + 1080/7° = (630 + 1080)/7° = 1710/7° ≈ 244.2857°, as before. 
+    
+    Point F is at 90° + 4*(360/7°) = 90° + 1440/7° = (630 + 1440)/7° = 2070/7° ≈ 295.7143°, as before. 
+    
+    So, the angle between point A and point F is 2070/7° - 1710/7° = 360/7°, which is the central angle between two adjacent vertices. 
+    
+    Now, let me compute coordinates of A and F. 
+    
+    Let me denote θ = 360/7°, so that point A is at angle 90° + 3θ, and point F is at angle 90° + 4θ. 
+    
+    So, coordinates of point A: (cos(90° + 3θ), sin(90° + 3θ)) 
+    
+    Similarly, coordinates of point F: (cos(90° + 4θ), sin(90° + 4θ)) 
+    
+    But cos(90° + x) = -sin(x), and sin(90° + x) = cos(x). 
+    
+    Therefore, coordinates of A: (-sin(3θ), cos(3θ)) 
+    
+    Coordinates of F: (-sin(4θ), cos(4θ)) 
+    
+    Similarly, coordinates of point C is A + dir(90)*(F - A). 
+    
+    dir(90) is (0,1), so adding that vector to point A. 
+    
+    So, point C is A + (F - A) * i, where i is the unit vector in the y-direction. 
+    
+    So, coordinates of C: 
+    
+    x-coordinate: A_x + (F_y - A_y) 
+    
+    y-coordinate: A_y + (F_y - A_y) 
+    
+    Wait, because adding (F - A) vector to A. 
+    
+    Wait, the vector from A to F is (F_x - A_x, F_y - A_y). So, adding that vector to A gives (A_x + (F_x - A_x), A
     ```