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mathvision-test
2852
2,851
1,234
Charlotte is playing the hit new web number game, Primle. In this game, the objective is to guess a two-digit positive prime integer between $10$ and $99$, called the Primle. For each guess, a digit is highlighted blue if it is in the Primle, but not in the correct place. A digit is highlighted orange if it is in the P...
1
79
logic
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2,451
The user has provided an image showing the results of two guesses in a number guessing game called Primle. **Game Rules Summary:** The target number (Primle) is a two-digit prime number between 10 and 99. * **Blue highlight:** The digit is in the Primle but in the wrong position. * **Orange highlight:** The digit is i...
2,048
403
length
1,234
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88160f9a172804b982c844536a513f0c2949f6e0931a6ed00a2eaa645065c5f3
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38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
255
255
2852
google/gemma-4-E4B-it
false
true
mathvision-test
2030
2,029
1,234
A particular flag is in the shape of a rectangle divided into five smaller congruent rectangles as shown. When written in its lowest terms, the ratio of the side lengths of the smaller rectangle is $\lambda: 1$, where $\lambda<1$. What is the value of $360 \lambda$ ? <image1>
1
120
combinatorial geometry
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2,385
The image shows a large rectangle divided into five smaller, congruent rectangles. Let the dimensions of each small, congruent rectangle be $w$ (width) and $h$ (height). The ratio of the side lengths of the smaller rectangle is given as $\lambda: 1$, where $\lambda < 1$. Since $\lambda < 1$, the ratio must be $\text{s...
2,048
337
length
1,234
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2a76d8aa2364b182134b3b93329a2ae4232bfca6964e4ee30495ce91f4c1363b
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38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
260
260
2030
google/gemma-4-E4B-it
false
true
mathvision-test
25
24
1,234
A wooden block has 8 vertices. One vertex is cut off now (see the picture). <image1> How many vertices has the block now?
1
10
solid geometry
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608
Here is a step-by-step analysis to determine the new number of vertices: **1. Analyze the Original Shape (Cube)** * A standard cube has **8 vertices**. * A cube has 6 faces, 12 edges, and 8 vertices. **2. Analyze the Cut (Truncation)** * The problem states that one vertex is "cut off" (truncated), as shown in the pic...
308
300
stop
1,234
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8e0cf0f7ab12e28993c40ca2b35f4ba88b6485b10036e630ad2296a4daa613bb
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38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
256
256
25
google/gemma-4-E4B-it
false
false
mathvision-test
1325
1,324
1,234
In the triangle illustrated one internal angle measures $68^{\circ}$. The three angle bisectors of the triangle are shown. What is the size of the angle indicated with a question mark? <image1> Choices: (A) $120^{\circ}$ (B) $124^{\circ}$ (C) $128^{\circ}$ (D) $132^{\circ}$ (E) $136^{\circ}$
1
B
metric geometry - angle
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2,211
The image shows a triangle with one internal angle measuring $68^{\circ}$. The three angle bisectors of the triangle are also shown. A question mark indicates an angle formed by two angle bisectors inside the triangle. We need to find the measure of this angle. Let the vertices of the triangle be $A$, $B$, and $C$. Le...
1,847
364
stop
1,234
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1a6c3fab135ee99ea6c53df23caa362c767bb66ebdab37763cb174bddd173d4d
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38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
252
252
1325
google/gemma-4-E4B-it
false
false
mathvision-test
1987
1,986
1,234
The figure shows two touching semicircles of radius 1 , with parallel diameters $P Q$ and $R S$. What is the square of the distance $P S$ ? <image1> Choices: (A) $16 (B) $8+4 \sqrt{3}$ (C) $12$ (D) $9$ (E) $5+2 \sqrt{3}$
1
B
metric geometry - length
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2,427
The problem describes two touching semicircles, both with a radius of $r=1$. The diameters are $PQ$ and $RS$, and they are parallel. Let's set up a coordinate system. Since the diameters are parallel, we can align them horizontally. Let the center of the semicircle with diameter $PQ$ be $C_1$, and the center of the s...
2,048
379
length
1,234
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8241e06360a5f3713510209c7332a49aebe1c146dd22b42b4eda6ccb35d6606f
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38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
276
276
1987
google/gemma-4-E4B-it
false
true
mathvision-test
2037
2,036
1,234
In the adjoining figure, two circles of radii 6 and 8 are drawn with their centers 12 units apart. At $P$, one of the points of intersection, a line is drawn in such a way that the chords $QP$ and $PR$ have equal length. Find the square of the length of $QP$. <image1>
1
130
metric geometry - length
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2,394
Here is a step-by-step solution to the problem: ### 1. Define the Geometry and Variables Let the two circles be $C_1$ and $C_2$. * Let $O_1$ be the center of $C_1$ and $O_2$ be the center of $C_2$. * The radius of $C_1$ is $r_1 = 6$. * The radius of $C_2$ is $r_2 = 8$. * The distance between the centers is $d...
2,048
346
length
1,234
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80fb223ca3f42565c913e8ac660082e4df7f67c78ae7929529c9d5041793641e
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38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
260
260
2037
google/gemma-4-E4B-it
false
true
mathvision-test
642
641
1,234
"When you put the 4 puzzle pieces together correctly, they form a rectangle with a calculation on it(...TRUNCATED)
[{"src":"https://datasets-server.huggingface.co/assets/skymizer/gemma-4-e4b-it-500-ref/--/{dataset_g(...TRUNCATED)
1
15
arithmetic
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915
"The image shows four puzzle pieces with numbers and a symbol.\nThe pieces are:\n1. **3** (with a co(...TRUNCATED)
622
293
stop
1,234
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"{\"gemma4_processor_config\":{\"boi_token\":\"<|image>\",\"eoi_token\":\"<image|>\",\"image_seq_len(...TRUNCATED)
38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
248
248
642
google/gemma-4-E4B-it
false
false
mathvision-test
736
735
1,234
"$|A B|=4 \\mathrm{~m},|B C|=1 \\mathrm{~m}$. $E$ is a midpoint of $A B, F$ is a midpoint of $A E, G(...TRUNCATED)
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1
A
metric geometry - area
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2,498
"The problem provides a diagram of a grid with points labeled $A, B, C, D, E, F, G, H$.\nWe are give(...TRUNCATED)
2,048
450
length
1,234
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"{\"gemma4_processor_config\":{\"boi_token\":\"<|image>\",\"eoi_token\":\"<image|>\",\"image_seq_len(...TRUNCATED)
38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
270
270
736
google/gemma-4-E4B-it
false
true
mathvision-test
1349
1,348
1,234
"The cells of the $4 \\times 4$-table on the right should be coloured either in black or white. The (...TRUNCATED)
[{"src":"https://datasets-server.huggingface.co/assets/skymizer/gemma-4-e4b-it-500-ref/--/{dataset_g(...TRUNCATED)
1
5
logic
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2,370
"The problem asks for the number of ways to color the cells of a $4 \\times 4$ table either black or(...TRUNCATED)
2,048
322
length
1,234
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c87bbf45578aa35e4da48092d982f89edb7ee4fbf6ce0d46936486dc6e21c327
"{\"gemma4_processor_config\":{\"boi_token\":\"<|image>\",\"eoi_token\":\"<image|>\",\"image_seq_len(...TRUNCATED)
38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
256
256
1349
google/gemma-4-E4B-it
false
true
mathvision-test
1707
1,706
1,234
"Werner wants to write a number at each vertex and on each edge of the rhombus shown. He wants the s(...TRUNCATED)
[{"src":"https://datasets-server.huggingface.co/assets/skymizer/gemma-4-e4b-it-500-ref/--/{dataset_g(...TRUNCATED)
1
12
algebra
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1,946
"Here is a step-by-step solution to the problem:\n\nLet the four vertices be labeled as follows:\n* (...TRUNCATED)
1,604
342
stop
1,234
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ebab8dff75364121dfc915e3a81b1d8b798d0c9e454a124368827d2067edd55a
"{\"gemma4_processor_config\":{\"boi_token\":\"<|image>\",\"eoi_token\":\"<image|>\",\"image_seq_len(...TRUNCATED)
38fcb910a29fac248c3bd347c9d33d12775e083510fb717fb96b816bf7009fd6
266
266
1707
google/gemma-4-E4B-it
false
false
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