Datasets:
dmarsili
/
ExpertLens-Training-Data

Dataset card Data Studio Files
xet
 Community
data_source
stringclasses
1 value
prompt
listlengths
2
2
images
listlengths
1
1
ability
stringclasses
1 value
reward_model
dict
extra_info
dict
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAhoAAAIFCAIAAAAbW8M/AAEAAElEQVR4nMT96ZcdN3IngAaQeffaNxY3cRepXe1ut3vs9th+nvHxfJj5f+f4jLee7navEiVSIimKW5FVxdqXu2cm8D7Ezbi/DGResf3mnIejQ2XlRQKB2BAIBALmqHtGM4svFudcrVaz1jrniMgY45xLkiSKImMMv8GSjhNjjLWW/8SmrLVRFMmH/DLzbjweZ1lmrbXWeu+NMVyNe3fOee8ZNmmZn7kR/jfLsizLiCiKIiJK05SfLRn+yRgT...
math_vqa
{ "ground_truth": "$$35^{\\circ}$$", "style": "rule" }
{ "answer": "$$35^{\\circ}$$", "id": "abb5ab16-df73-44d9-8869-405babf18eeb", "index": 3073, "question": "As shown in the figure, $$\\angle A$$ is the inscribed angle of circle $$\\odot O$$, $$\\angle OBC=55^{\\circ}$$, then $$\\angle A=$$ ___.", "source": "FanqingM/MMK12", "split": "train", "subject": "ma...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAADSkAAAHaCAIAAADZ57qlAAEAAElEQVR4nOz9SY9tSZIeCIqo6hnubOObfIgpkxlJdqKru4nccMN/SIBbAr1ooJeFrkL1onZV6AaqWQUWilnBzoGRGeHDe8/fYNMdz6BTLb6jcvVeM/MMj/AIz0yaIuBhZu/ec3QQlfETEd72nh4aMUZmZmYi8t5775VSRmsiMqyYKYTonCMirbXWyvsQY4wxEpFSSinFTEQUVej7PoRQFAURWWuZuSiKEAKngdeFEPBOIoU/Hs1HKRXj/qUh...
math_vqa
{ "ground_truth": "$$0.6$$", "style": "rule" }
{ "answer": "$$0.6$$", "id": "ea991007-c539-4357-9306-a353da5212a7", "index": 1176, "question": "The table below records the results of a player's free throws from the free-throw line. If the player takes one shot, the probability of making the shot is approximately ___.", "source": "FanqingM/MMK12", "spli...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAGwAAABZCAYAAADb0cHTAAAPLUlEQVR4nO2de0xUxxfHP3d3YWFRwJVHKvFFWi2ogGiCVq39SQq2ahUVrVatD0TbYKuirabR2hrUmFZtLBUkmFC1kVok+BZaNVIMvquJWqUiVRS6IoqwPHfv/P4gbOoDirLLsrKfP3e4Zw773TMzd+6ZcxFNUFFRIYKCgkRwcLAoKSkR27ZtE4sWLRI1NTVCCCHu3bsnPvzwQ5GVlSVkWW7KlB0zoaAJXFxcOHDgAAEBARQXF9O7d2+GDRuG...
math_vqa
{ "ground_truth": "3/4", "style": "rule" }
{ "answer": "3/4", "id": "1b879781-05b3-4254-b1cf-34d64ffb3275", "index": 1533, "question": "As shown in the figure, a perpendicular line PA is drawn from point P(4, 3) to the x-axis at point A, and a perpendicular line PB is drawn to the y-axis at point B. PA and PB intersect a certain branch of a hyperbola at...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAK0AAABjCAYAAADpTYCHAAAd8UlEQVR4nO2dd0AU59aHn9ldkAWCUbAhig0xejWW2I259lgCKAJqVDRqULGRKNYkxhvFgrkaBY01GorGEEWJCrEBRhHFCAoGYkdFEbEgdZed7w8vfBobbGFhw/Pnzsw5Z3d/887bzhlBFEWRSiqpQEj0HUAllZSWStFWUuGoFG0lFY5K0VZS4ZDpOwBtoVIWcCHpIv8/rBSwa2qPqbxK8Tl5Tx4Re+5PunfrqJcYK9EOBtTSCog5GbzXti1/...
math_vqa
{ "ground_truth": "$$\\dfrac{1}{4}\\mathrm \\pi$$", "style": "rule" }
{ "answer": "$$\\dfrac{1}{4}\\mathrm \\pi$$", "id": "ca4f4346-11a6-4658-ab58-b92a705be2a1", "index": 1658, "question": "As shown in the figure, point $$C$$ is inside a semicircle, $$O$$ is the center of the circle, the diameter $$AB$$ is $$2\\space {\\mathrm {cm}}$$, $$\\angle BOC=60^\\circ$$, and $$\\angle BCO...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAHoAAABjCAYAAABUgBS3AAAzL0lEQVR4nO2dd5hV1b33P7udNpVpMDAMA6EoWBApomKNCgELGqMxKubFFgvmvpqbeH1zbyyJN8ZYcvU1CBdfNVEDmBCDIIioUSxYAEGlSBkYGAamz2n77LLeP/ZZm32GKkMxz833efYzc87ZZe31W+vX128ptpNZBVqZm1HQDBuUdhRiCDOCabWhRVNoagm4BvFMnFDIwHINwrqKoSogBLZtA6BpGkEoioKiKAAIIRBCoKoqnSGEyLnmmwrZ...
math_vqa
{ "ground_truth": "$\\frac{1}{2}$", "style": "rule" }
{ "answer": "$\\frac{1}{2}$", "id": "c5471654-18a7-49c4-8702-386f46c2cfe8", "index": 2742, "question": "As shown in the figure, BD is a diagonal of rhombus ABCD, AE is perpendicular to BC at point E, and intersects BD at point F, with E being the midpoint of BC. Find the value of cos∠BFE.", "source": "Fanqing...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAEcAAABVCAIAAACUzG7YAAAcg0lEQVR4nLV8WXBdxbXo6u69zzxpnizZPpYlW1aMPAAJ2KBYUGADCS6Sin0TXtV9GYB8EPJe1buVSlWSj7xbqeSSpN6t5CNwqYQk1AX0giHgayBIYAeQbclYtiRbgy1LtjVLR9IZ99Dd72Pts8/WkeTpOauOVfvs07t7zb3W6rVN2j5sv+eeeyilhBDTNAGAMUYpBQAAIITghZQy71pKCQAECADgH+sOIfZ13lf7Qbzp/MmeHCSQZY8vR2DF...
math_vqa
{ "ground_truth": "$13cm$", "style": "rule" }
{ "answer": "$13cm$", "id": "c46a574a-f285-446f-92c4-9258577197ff", "index": 3871, "question": "As shown in the figure, in $\\Delta ABC$, $AB=AC$, points $D$ and $E$ are on $AC$ and $BC$ respectively, $BD$ is the bisector of $\\angle ABC$, and $DE \\parallel AB$. If $BE=5cm$ and $CE=3cm$, then the perimeter of ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAANYAAABxCAYAAACp+l14AAAgWklEQVR4nO2deXQUVfbHP9XdSWchC9lXA9k3SIJsISxhlQECiiAyyibj4DA/RUEFDqKMCIzLkeOMbDoDLoCCgKAsCsiSkCGQBBAhSCAhCZCQjYSEbJ3uqt8fnG4TQdZ0ujvU5xwOS+iq21Xv++597973niBJkoSMjEyLojDVjWU9y7RlTCKsyspKPv74Y8rLy01xexkZo9PqwpIkiS1btvDOO+9QX1/f2reXkWkVWl1Yp0+f5s0338TDwwNH...
math_vqa
{ "ground_truth": "5", "style": "rule" }
{ "answer": "5", "id": "becffede-d261-403a-8cd0-b8f5e5423bf6", "index": 1449, "question": "As shown in the figure, an isosceles right triangle board $ABC$ is placed vertically on a table. If the projection of the hypotenuse $AB$ on the table is $DE$ and measures $8cm$, and the height of point $B$ from the table...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAGZCAIAAADuF2TqAAEAAElEQVR4nOz915Md15Umju690+fJ4015X6gCquANCdBIpKimpNYoeqa71Q8z8YuJ6ZiY3+91/pAb977Nc0/PjTG3jdRSN5tqOlEEDUCYAlDe++P9SZ9734dVJ3FgChTRBQIU8wsEolCoOiczT+baa3/rW9/CxWoFBQgQIECAP3SQ530AAQIECBDgm0AQ7gMECBDgO4Eg3AcIECDAdwJBuA8QIECA7wSCcB8gQIAA3wkE4T5AgAABvhMIwn2A...
math_vqa
{ "ground_truth": "4% 51", "style": "rule" }
{ "answer": "4% 51", "id": "52538d7a-f24f-4b3a-84ac-f6f038f46b4d", "index": 255, "question": "The stem-and-leaf plot of a class's Chinese scores is shown in the figure. The excellence rate (90 points and above) is ___, and the lowest score is ___.", "source": "FanqingM/MMK12", "split": "train", "subject":...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAwIAAAKPCAIAAABRh+pdAAEAAElEQVR4nOz9aXMbybKuC3pE5IwZ4ExqVtUa9trHdt977X5q6/7/ZrfPOXtNVbVqSSWJM4kZyDmG/uBEKEVNVSqQBEh/TFYFkiAyAAKZb7i/7s4uhiMgiFVFay2E4JwrpYqiUEpxzoUQjuPc9dIIgiCItYff9QII4tfCGOML7notBEEQxH2AttTEqmOMMcagBgIAkkEEQRDEsiAZRKwNnHMbENJa3/VyCIIgiLWHZBCx0jDGAMAYg7eRu14U...
math_vqa
{ "ground_truth": "$$ 2 \\leqslant k \\leqslant 16$$", "style": "rule" }
{ "answer": "$$ 2 \\leqslant k \\leqslant 16$$", "id": "c1514916-efeb-4359-8a75-b00a251406ef", "index": 891, "question": "As shown in the figure, the three vertices of $$\\triangle ABC$$ are $$A(1,2)$$, $$B(4,2)$$, and $$C(4,4)$$. If the graph of the inverse proportion function $$y= \\dfrac{k}{x}$$ in the first...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAc8AAAGQCAYAAADIoOsJAAAk9ElEQVR4nO3dT0xT+f7/8Vd/mdzbu7KuLi5uKInOlMkkU1YCLigrYWZh2YywAjYiK2AxGU0m0UlM1NwF7Qp0A6zA2VAW19YVZaHUFSWZaOdCQk2+Cb0r6sruzm/BgKCoHNqez/nzfCQkWhDelravfv69T8iyLEsAAODU/p/pAgAA8BrCEwAAmwhPAABsIjwBALCJ8AQAwCbCEwAAmwhPAABsIjwBALCJ8AQAwCbCEwAAmwhPAABsIjwBALCJ...
math_vqa
{ "ground_truth": "3", "style": "rule" }
{ "answer": "3", "id": "dc16525e-9522-4100-bdb1-07a74ca46b9b", "index": 1528, "question": "If the graph of the derivative function of $$y=f(x)$$ is as shown in the figure, make the following judgments: 1. The function $$y=f(x)$$ is monotonically increasing in the interval $$(-3,-{1\\over2})$$; 2. The function ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA1IAAAJwCAIAAAAMV8fZAAEAAElEQVR4nOz9+ZscN5YeCp8DICJyrYVVxZ2URO1Lt2bUPbY/j6/vtf3dP9v2Y3s8M+5draUpiaK4VhVrr1xjA3B/OBFIJCIiK7OYtZH5th52VGQEAsvBOS8OgANMZCqllFICAGOMMYaIkAMRzZ9aawDQUiEiYwwAlFL0lv3KWw6qpSKUUphj7PmKmqtKR0tVet9pBZ3D3Kd/s0bU+sQmM0/Sn4ho0rQf45xPTuc1UVU/pflBRCyvtrEXzb+n...
math_vqa
{ "ground_truth": "$$10 + 5\\sqrt{3}$$", "style": "rule" }
{ "answer": "$$10 + 5\\sqrt{3}$$", "id": "042e7863-ab11-489a-b083-6b3093452058", "index": 1719, "question": "As shown in the figure, given that $$F_{1}$$ and $$F_{2}$$ are the left and right foci of the ellipse $$C: \\dfrac{x^{2}}{a^{2}} + \\dfrac{y^{2}}{b^{2}} = 1 (a > b > 0)$$, $$A$$ is the top vertex of the ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIoAAAB4CAYAAAAt3Wp2AAAqu0lEQVR4nO2dd3hVVbr/P/v0kpOc5KQnBBACBBCkiUh1LoxeHXQc62+KOl7BEUcEcey9gaIOMjrjqMAzjI6KiILjFa8IIkhApGkoA4ZAes/pfe/9++PkbBJSSA9qPnnynGSXtdfZ+7tXede73iVIkpQLpNNHtyPLcqfOFwShi3LSbkKCJEkVgiAk91YO+vhhoAH8vZ2Jnwo/1BJFluWgpleu/FNFEECOfDRCjn50Tkjdiaq3M/BjJUSIUkpP...
math_vqa
{ "ground_truth": "27°", "style": "rule" }
{ "answer": "27°", "id": "136771c5-5d15-4666-8530-f64ea4a2ef0e", "index": 368, "question": "In △ABC, ∠BAC = 54°, AD is the angle bisector of ∠BAC, DE ⊥ AB, DF ⊥ AC, then ∠DEF =.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJkAAAC4CAYAAADwrE4pAAAjeUlEQVR4nO2daVhT1/r27yTMMyqDU1UUBypURUVb9YBUtE5VUQuoFBVs1da+vc6xWu3p0df21PZ0VKuCCIggWplFrRYRx4LghEVFFLGgDIrMEEKS5/+Bk32gIuNOdjbkd118kGSvdSferL3X8zxrLQERETRoUCJCrgVo6PpoTKZB6WhMpkHpaEymQeloTKZB6WhMpkHpaEzWFqofYfvmVQhNfcq1El6iMVkbeHY9HJ//ex9+PnwatVyL4SEa...
math_vqa
{ "ground_truth": "$\\vartriangle ABD \\sim \\vartriangle CBE$", "style": "rule" }
{ "answer": "$\\vartriangle ABD \\sim \\vartriangle CBE$", "id": "4c18974a-27c2-47c6-aa6f-a31557bd6d90", "index": 2348, "question": "As shown in the figure, in $\\vartriangle ABC$, $AB$ = $AC$, $BD$ = $CD$, and $CE \\perp AB$ at point $E$. Then,", "source": "FanqingM/MMK12", "split": "train", "subject": "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAHoAAAB1CAYAAACBD/UxAAALZklEQVR4nO2df4wUZxnHPz3X44LELKHEa4pyqcRQcsYzpSm1bbw/DLkgmotpE2oxnpG0pCGEVAw0YjyDSuyZtIKGGFIvSMxpIW1TSCFBciqpSI4GbRtBL5YSxGuDSixIG8DgH9953bnp7PzYeWdmd+/9JJvdnX1n9tl9532f93ne531ecDgcjnajA9gFrC1bEEe+rAduAIfLFsSRH/OA14BXgCsly+LIke3Al4DdqFUvLFccRx4sAY57rx9G...
math_vqa
{ "ground_truth": "60", "style": "rule" }
{ "answer": "60", "id": "fd2a02c7-a718-4094-bf13-53696a21998d", "index": 1697, "question": "As shown in the figure, $$\\triangle ABC$$ is an equilateral triangle, and $$BM=CN$$. $$AM$$ and $$BN$$ intersect at point $$P$$. The measure of $$\\angle APN$$ is ______ degrees.", "source": "FanqingM/MMK12", "split...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA2gAAALeCAIAAABQkKW2AAEAAElEQVR4nOz9V3McS5YlCruHjkitE5nQJCiP6qquqp6eHrs9dm2e5mV+6zyN2Z352mx6prurq+pI8lBBiwRSi8jQwr+HhfQTBAlWkUUSABnrgZYAE5keyn352nuvTfvjGbnJEASBUhrHcRRFlFJRFBljYRiKonjVQ0uRIkWKzwKMsTiOMQNTSl3XnUwmpmmKC8iybBhGJpORJCmO4ziOr3rIKVLceDDGKKWEEPzLGMO/vu9rmhbHMWNMkqQo...
math_vqa
{ "ground_truth": "$$150$$", "style": "rule" }
{ "answer": "$$150$$", "id": "5b79d864-3149-480c-ba1a-6324e2621863", "index": 2145, "question": "The pie chart below shows the number of ice creams of various flavors sold by a cold drink shop in one day. Among them, 200 red bean flavored ice creams were sold. How many fruit flavored ice creams were sold?", "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAvgAAAMCCAIAAACTPiV/AAEAAElEQVR4nOz913sjyZnnj75h0sBbgga05W0bqWdnZi/OP703v3N1ds/O7pFGI7WrZhXJKnoShPdIF+ZcvIkkqrq6pW6Vr/g8ekokGkhGJjIjvvFaIpUGg8Hwz0HI61/X5vEyGAy/QKSBEKAECAAoUDKSIgQRSRmqMNI6chhXOoqCkDHmZHI8V1XA3veoPz74+x6AwfApsChofkn0GAwGwyLJXKEBCAAhjFBKOaeU+FEkhRYEKOPcIowCMTPL...
math_vqa
{ "ground_truth": "$$\\dfrac{2}{3}\\overrightarrow{a}-\\overrightarrow{b}$$", "style": "rule" }
{ "answer": "$$\\dfrac{2}{3}\\overrightarrow{a}-\\overrightarrow{b}$$", "id": "10c8e65a-b094-4f70-9d2a-7ed15331b96f", "index": 2153, "question": "As shown in the figure, in parallelogram $$ABCD$$, point $$E$$ is on side $$AB$$, and $$\\overrightarrow{AB}=3\\overrightarrow{EB}$$. Let $$\\overrightarrow{AB}=\\ove...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAL0AAABfCAYAAAC9W8a5AAAcwElEQVR4nO2de0BbVZ7Hf/eVmwchhBAIjwZMKRaaVpHSd7RWjW3sRJRBrDPKtuM6dXTGOrOd0XkQw7p2Zrq7U906ZRy3LtvpYmRwOrFSJ9bWMdoXRfuIpQ9KaSAQEpLwSkKS+9g/bJ2W0kpLyKPk81/uzfmdb8KXX84995zfRfR6PSRIMJVAoy0gQYJIkzB9gilHwvQJphwJ0yeYciRMn2DKkTB9gilHwvQJphwJ0yeYciRMn2DKEVemT3Hp...
math_vqa
{ "ground_truth": "$2\\sqrt{13}$", "style": "rule" }
{ "answer": "$2\\sqrt{13}$", "id": "fb758965-f865-4328-9bca-f7baa959ac93", "index": 3450, "question": "As shown in the figure, in parallelogram ABCD, AC and BD intersect at point O, and AC is perpendicular to AB. If OA = 3 and OB = 5, then BC =.", "source": "FanqingM/MMK12", "split": "train", "subject": "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAL8AAABmCAYAAACa20DhAABiOUlEQVR4nO2dd3jUZdb3PzOZnjrpvZGENEgIHWlSFbGLiLqiApZV187aGyqKrgVdXXURUVwVVERUFERRwNAJEAjphPRMkkmZSabP+wfvfe8kDwq76Oo+j+e6chEmM7/5lXOf+5zv+Z5zFF6v18svKB6PB4VCgUKh6POay+XC6/Wi0Wj6/O13+V1+bvF4PCiVSvkvQG9vL8pf64R+V/jf5deWX1z5+1v9k73+u/wu/yn5VSy/UHylUvn7Avhd...
math_vqa
{ "ground_truth": "$\\frac{\\pi }{4}$", "style": "rule" }
{ "answer": "$\\frac{\\pi }{4}$", "id": "f58e6a94-b646-4431-b3df-9e192323f0a3", "index": 1882, "question": "As shown in the figure, the diameter AB of semicircle O is 2, chord CD is parallel to AB, and ∠COD = 90°. Find the area of the shaded region.", "source": "FanqingM/MMK12", "split": "train", "subject...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJQAAABTCAYAAAB50S7YAAAKGUlEQVR4nO2debSVVRnGf4CaU6YszVS0UhwaNHNYaiImZk5ZoCQmDgFCpbk0jWWm+fiIGjiSZag4kSzngRaEQ4rzvBxyUVlaihNRlimaOffHuy+eDnc6955zv+875/v9w1rnnm+fZ53z8O693733u/vZpiSfSFoFGA6sBrwPLAM8ZvuODGV1Sv+sBZR0ynDgbGBVYCBhrOUy1NMly2QtoKRTtgNudIG6kTJC5ZtNgAezFlEL/Qpk/pZC0srA...
math_vqa
{ "ground_truth": "40", "style": "rule" }
{ "answer": "40", "id": "db7c6716-43e8-4f58-a5cc-85fd2752e691", "index": 212, "question": "As shown in the figure, lines AB and CD intersect at point O, OB bisects ∠EOD, ∠BOE = 40°, then ∠AOC equals _____ degrees.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAAqCAAAAADHD4IDAAAIS0lEQVR4nO1aS6hkRxn+/qrz6u77mJlk8mLwkWBMMhkSjQuNSiDBIRKIIkQxroJEDCIkkIW6cBGDK3EV3ChmoSCRgBEEQRciigHFZwLGCNFg4iSTmbmP7j7Pqv9zcU737dOZ4Z6TRecK97twu09V/Y/66v//qnNOC3GIHjBvtwP/Zzjkqx8O+eqHQ7764ZCvfjjkqx8O+eqHRb7cBSB35dvmy36YEB6+txhLsGLR314BR5TtA+oCXy44Nt1K...
math_vqa
{ "ground_truth": "$$2$$", "style": "rule" }
{ "answer": "$$2$$", "id": "9cb254af-5fd2-4435-88eb-2cb3cbd4af20", "index": 3664, "question": "As shown in the figure, point $$C$$ is a point on line segment $$AB$$, and point $$D$$ is the midpoint of line segment $$BC$$. If $$AB=10$$ and $$AC=6$$, then $$CD=$$ ___.", "source": "FanqingM/MMK12", "split": "t...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAANMAAABsCAYAAADwm4d5AABopklEQVR4nJ29ebReVZ0m/JzzzuOdb24SMgAJU2QSEAwzhCEQRrHKIN1+kaqytLutpbjUr6pXtTXYq3r52VW2tlpS+qGCRQCxkEEJoIAhAVFGkwCBhMzJne87j+d8f5z77PucnXNTvb6z1l333vc9Z5+9f/s3PL9h7+0cHB3z6/U6Go0Gent7EYvF4DgOXNeF7/vwPA+O4yAej8P3fbTbbbTbbcRiMcTjcTiOg0ajgVqthm63i1gshnQ6jXg8...
math_vqa
{ "ground_truth": "$$2\\pi $$", "style": "rule" }
{ "answer": "$$2\\pi $$", "id": "cc25bc92-f8be-4f2e-a779-bbecf82e8456", "index": 259, "question": "As shown in the figure, the central angle of sector $$OAB$$ is $$120^{\\circ}$$, and the radius is $$3$$. Then the arc length of the sector is ___ (保留 $$\\pi$$ in the result).", "source": "FanqingM/MMK12", "sp...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAABNCAYAAADw1zwoAABlrElEQVR4nKW9WZclt3Uu+GGIOFNONbI4iiJFUbasJWu67tvq+9AP98W/9765e3Wvbl/72pYtS5ZNSZQ4iCKLRVZlVVbmGWIA0A/ABjYQiMzU7aiV65yKE4FhY+PbAzY2xMdPjQMA5xyEEAAAay3oklJCSgkhAOeAYRjgnEPTNFBKwFrAGAMA0FpBKcBaYBwtnHOQUgLwz9BzVI8QgpUvIKR/11ob7vs6x9FgGAY0TRPf5ZdzDgKAlsq/AEBK...
math_vqa
{ "ground_truth": "$$-b$$", "style": "rule" }
{ "answer": "$$-b$$", "id": "d8166c58-6484-449e-803a-20b55307c91d", "index": 3185, "question": "The positions of the real numbers $$a$$ and $$b$$ on the number line are shown in the figure. The simplified result of $$\\sqrt{\\left ( a+b\\right )^{2} }+a$$ is ___.", "source": "FanqingM/MMK12", "split": "trai...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAG8AAABOCAAAAAALXhcvAAAHEklEQVR4nL2ZaVhUVRzGX4ahAg1RURKYxAxFjcFhic0NWXJHEFLRAhUbSsHHNUUtA5UiH63McF9ATIVyQRRESWMZDJeBsVI0QEkdUREFJmHucPqACgwzd84dwPPp/pdzfs9758697z3XgADA7QPL0dljmrE4t/xrHgA0zn3U6TjUhLotcV/OA4Ccp+90Ok4udwY+2MsDcKG7fc9O553t2xWAigdU5Pe63q/TeadHA/jTkw/lKcGFRz0AplLF...
math_vqa
{ "ground_truth": "2", "style": "rule" }
{ "answer": "2", "id": "187726b6-c29d-4b00-86bc-3e527c06e7e8", "index": 3734, "question": "In the rectangle ABCD, AC and BD intersect at point O, and M and N are the midpoints of BC and OC, respectively. If BD = 8, then the length of MN is.", "source": "FanqingM/MMK12", "split": "train", "subject": "math"...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKsAAACPCAYAAACF1Ss5AAAcZklEQVR4nO2deVBUV/r+n2ZpuiEoIougqIhh07CMbCIiagU3xBXcGHdjqqISpRyNW77jTJzoGNHoCERMHBVcGMcFlwIGRYUYkMUVEJBFUBQRgUaapbvf3x/+6BLFBbl9L433U2UJ554+79PN06dvn+U9AiL6PyJyBQhvR/COa12TR48eoU+fPggNDUVwcDCys7MxePBgpKSkYOjQoVzL+yQRKBSKywKBwJtrIZ2RkJAQXLhwAdnZ2QCAVatW...
math_vqa
{ "ground_truth": "$\\frac{\\sqrt{5}}{3}$", "style": "rule" }
{ "answer": "$\\frac{\\sqrt{5}}{3}$", "id": "cc39f0ea-ad92-4d64-b330-8d71999ccea8", "index": 1592, "question": "As shown in the figure, for a point on the ellipse with the same x-coordinate as the focus, its y-coordinate is equal to $\\frac{2}{3}$ of the length of the semi-minor axis. What is the eccentricity o...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAASsAAADlCAIAAACEU0aTAADvI0lEQVR4nNT9V7BdRZYgDK/MbY4/198r74UAIZD3BkkIIyi8raqmq2q6p7ujOyY6pidiIuZh3v55mIdvTEzXfNGUoygKD4UwwggJeYOwQoAEEvL2Stces13m/7DOzrN27n2OroDqmS9DXM7ZJ3fmypXL5cqVK5kX+JBUGGOJzwMpE5+rV/CvlBL/qqJ+CoJACGFZFj5RHalX4q3h88T2hQDGGOdcPRdC4F8WFgWhlFIIX9VXr0gpPc/jnBuG...
math_vqa
{ "ground_truth": "$$\\dfrac{1}{10}$$", "style": "rule" }
{ "answer": "$$\\dfrac{1}{10}$$", "id": "07e27a57-1e6c-41bb-aa15-a5e3c6f3b8d1", "index": 1145, "question": "As shown in the figure, in $$\\triangle ABC$$, $$AD$$ is the median on side $$BC$$, $$F$$ is a point on $$AD$$, and $$\\dfrac{AF}{FD}=\\dfrac{1}{5}$$, then $$\\dfrac{AE}{EB}=$$ ___.", "source": "Fanqing...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKMAAABnCAYAAABsFfIiAAAPq0lEQVR4nO2dd3RWZZ7HP8+9b0+lSJESleqA7ro2YAUERGBAVIgBgiDWGcuAIoqEorueZRzHtSHNQQHRsQ9FFJQiikIgJCFIqCGCAYV0CClvu8/+8SYs66DOKrc4PJ9z3nNyTs7J75v7fm577vP8rpBSShQKB6DZHUChaEDJqHAMSkaFY1AyKhyDklHhGJSMCsegZFQ4BiWjwjEoGRWOQcmocAwuuwM0EI1GiYTDSEDYnEUCQgjcbjeapvZX...
math_vqa
{ "ground_truth": "5", "style": "rule" }
{ "answer": "5", "id": "165daa59-cf68-4def-9867-afdeb8726b84", "index": 361, "question": "The figure below is constructed using $$1\\rm cm^3$$ cubes. Find the volume of the figure. The volume is ______$$cm^3$$.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIcAAAByCAYAAAB5uMKgAAAXrklEQVR4nO2deXBUVb7Hv72n00k6CWFL2B5U4oCCxEhABmRJ0BhkE5wZUbEGeJZP3liONeNDpWYYqRoGxJlxFEp9ynNcGJHEkATDDkEwCZKwypIxwSUIZO1OJ53u233v/b4/mm4I2ZNOd2f5VHV13+3c3+3+9ll+53fOUZAk+vELkuSE1WpFWFgIADUAGXv3HkRkZCQm3ZsAKPxrn9K/t+/bqFQahIWFAQBICRaLBU8++SQcDoefLXPRLw4/...
math_vqa
{ "ground_truth": "$82{}^\\circ $", "style": "rule" }
{ "answer": "$82{}^\\circ $", "id": "8201937c-1a6b-4ee0-9370-2793ac74ba25", "index": 2958, "question": "As shown in the figure, point D is on the extension of side BC of △ABC, DF is perpendicular to AB at point F, and intersects AC at point E. Given ∠A = 48° and ∠D = 56°, what is the measure of ∠ACD?", "sourc...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKsAAAC3CAIAAADinjmuAAAmPUlEQVR4nO1de6wcdfU/s7M7O7Ozj/vq7QuoNa01RAzRUkkgUBORn0iNCUKMiRJjERUj/xCDQiRETDSgWBSMIjEYQzAWbQxIqkYxGgEjDUgMz9D29sF97e7dnZ3d2Z3H+f3xYY7fbml772XvY7vz+eNm7u7s7Oyc8z3f8z4aM1OCAUZqpW8gwQoj4YBBR8IBg46EAwYdCQcMOhIOGHQkHDDoSDjg7Eez2ex0OkRUrVaDICCiMAzlXS3xCA0C...
math_vqa
{ "ground_truth": "50°130°", "style": "rule" }
{ "answer": "50°130°", "id": "18e8c03a-d6e1-4336-8f8b-4584861d8a50", "index": 1196, "question": "As shown in the figure, it is known that ∠1 + ∠2 = 100°, then ∠1 = ______ , ∠3 = ______ .", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAK8AAABaCAYAAADOzQbfAAAp1UlEQVR4nO2deYxkV33vP+cuVbeWruq9e3ras5iZYYaxGWKM4yUeGzAm5ilAgD9AiUUWRZYQUfKCIouAQqT8kTz4J0okAnrvgYSQzJKwvBDzHAw4hCTY2OCJzTAeZvWs3V29VHV1LXc7749b59St6qpeq3tmHvMd1dxb1VXnnnvu7/zObz8iDEPJTQAg5cpDIYTYpp7cxFpgXOsO3MRNbBTWte7A9YSbnPXGwk3OexM3LG5y3hhW47yrycQ3...
math_vqa
{ "ground_truth": "$$0.7$$", "style": "rule" }
{ "answer": "$$0.7$$", "id": "884805e2-8de1-4d9e-950e-4605fab5d0be", "index": 710, "question": "In 4 speech competitions, the scores of person A and person B are shown in the stem-and-leaf plot below, with one digit being damaged. The probability that the average score of A exceeds the average score of B is ___...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAHDCAIAAAAm2cD1AAEAAElEQVR4nOz9WZMbV5Ymiq49+YgZiEDMA2dKlDKrMm92ZVed89DWP/c8XLt2H66dMuu2tlPdXVVZmSlKojgz5hGBGfBxD/dhAR7OIKmUlCRDYvpnMhkCBBzuvreveX2LTOMEChQoUKBAgQLvG/S6T6BAgQIFChT4NFGo2AIFChQoUOCDoFCxBQoUKFCgwAdBoWILFChQoECBD4JCxRYoUKBAgQIfBIWKLVCgQIECBT4IChVboECBAgUKfBB8...
math_vqa
{ "ground_truth": "$$\\dfrac{3}{4}\\boldsymbol{a} +\\dfrac{3}{4}\\boldsymbol{b} $$", "style": "rule" }
{ "answer": "$$\\dfrac{3}{4}\\boldsymbol{a} +\\dfrac{3}{4}\\boldsymbol{b} $$", "id": "1183042d-3583-4014-a60b-b5c385e02d28", "index": 2990, "question": "As shown in the figure, given that $$E$$ and $$F$$ are the midpoints of sides $$BC$$ and $$CD$$ of rectangle $$ABCD$$, respectively, and $$EF$$ intersects $$AC...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAGAAAABLCAYAAACP84LNAAAJ5klEQVR4nO2ca1CU1xnHf+8uy11gV0XDGJFUU5FcVJI2MYkBmmTaaEu+1BtJbMfYjhESVx01o0ZCuIWLWIsxGSWJmgFJm3YEklgia7VDiDUE0GWUS0ZoneiCAisIBHY5/bC6lcuCIuy7gf19O3vec86zz3+fc95z3uddSQghcCIbCrkNGO84BZAZpwCjSHV1NZWVlQw2yzsFGC0EbN+6jS8++xwJyeZlTgHuAiEEer2e5ubmfnUV5eUEBgZi...
math_vqa
{ "ground_truth": "40°", "style": "rule" }
{ "answer": "40°", "id": "ae48bc2c-49eb-45b7-b7ce-20dfcb50cfb4", "index": 184, "question": "As shown in the figure, given DE//BC, ∠ABC=40°, then ∠ADE=．", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPQAAACmCAYAAADtaaICAACaz0lEQVR4nLW9V9Rdx3Um+NVJN/4ZGQQTQBAECIoJAAlSDJKYKVE0JY/dWpZXayyPV/ca98xDr37o93kav3hGT/Z0u909drctyRJFScwiCYAgCIIkCEYEIhCBCP+PP91wYs1D3X3uPvvWuT9keQrrX/fi3DoVdu1Ue+/apTpJppVSAACt9cAfAKRpCqUUHMeBUir/LU1TaK3hOE7+R88BwHVdeJ6X/5/64N8VAEcpuK4Lx3EAAFmWFd7Jsizv...
math_vqa
{ "ground_truth": "$$\\number{15.356}$$", "style": "rule" }
{ "answer": "$$\\number{15.356}$$", "id": "42a3c7d6-b455-4721-8d6f-ed03d2e66083", "index": 3840, "question": "When the national flag is raised, a student stands $$\\left ( DE\\right ) \\quantity{24}{m}$$ away from the base of the flagpole and salutes. When the flag reaches the top of the flagpole $$B$$, the ang...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAJ2CAIAAAA492iUAAEAAElEQVR4nLz9abMkN5IejLojIjPPXtuphcWl2OzuUXdLZpoZu3ZN95P+t/6ApDHZO6Ox0XSr2WSTLJLF2qvOmksE/H7wCM8H7oisQ470wspOZUYiAN/hcAAOPr9eExERiQhBYeacc9/3OWcRSSk1TcPMDTEzE1HOOeesNVNK+rqIWDtaTd+yZmUszGyfsVNtTYuI5Jy7rss5p5T0V2tEAbO3FKSu6xBmA9tetPoGlT3ErwZV0wxwGkhd13Vd...
math_vqa
{ "ground_truth": "$$[1,2]$$", "style": "rule" }
{ "answer": "$$[1,2]$$", "id": "0db4e78f-2710-45bb-a3ba-0ed18a943c66", "index": 2823, "question": "As shown in the figure, let $$P$$ be the intersection point of the unit circle and the positive half of the $$x$$-axis, $$M$$ and $$N$$ be two points on the unit circle, $$O$$ be the origin, $$\\angle POM=\\dfrac{...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKYAAABRCAYAAABYH93WAAAP4klEQVR4nO2dXWgb55rH/698WkMbMIVA1aKiTax4lShQBd+41GB2I38smNbedesWfOGCWW0sH+Im7pKCwRRcCERKDWsnLr4xxBcuGI98mhA38YGUulBIFxcqyd3GLc7xRQ3uhUGcrrKV578X0oxG0ujDsj5GqX5grJl5Z95n5v3P837MPO8IkkSNGgbDVGkDatTQoybMGoakJswahqQmzBqGpCbMGoakJswahqQmzBqGpCbMGoakKoSZ/ARA...
math_vqa
{ "ground_truth": "$$4a$$", "style": "rule" }
{ "answer": "$$4a$$", "id": "a0b37ae7-b5ae-4592-9735-62e780f8cb28", "index": 105, "question": "As shown in the figure, point $$E$$ is the midpoint of side $$AD$$ of parallelogram $$ABCD$$. Line $$CE$$ intersects $$BD$$ at point $$F$$. If $$S_{\\triangle DEF}=a$$, then $$S_{\\triangle BCF}=$$____.", "source": ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJsAAAAsCAMAAABFcDpzAAACrFBMVEX////z8/OZmZl3d3d5eXl+fn7W1tb+/v7R0dFaWloVFRUHBwcGBgYzMzN7e3vX19d/f38KCgpISEiOjo48PDwjIyMSEhITExPCwsLg4OAICAhvb2/j4+OUlJQ6OjoPDw+NjY34+PgrKysXFxcyMjKLi4sfHx8JCQkODg7o6OiAgIAqKiqbm5vu7u4eHh7w8PB1TgAAAABOdpn//v9zcXKKior+//+Xdk2Yu9v+/9tOAAB1mbn///29...
math_vqa
{ "ground_truth": "$$\\pi -1$$", "style": "rule" }
{ "answer": "$$\\pi -1$$", "id": "6c2c50a9-6e6d-4a54-a749-21c67d3755d9", "index": 3727, "question": "As shown in the figure, a circle with a diameter of $$1$$ has a unique common point $$P$$ with the number line, where point $$P$$ represents the real number $$-1$$. If the circle rolls one complete revolution al...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAApkAAAFOCAYAAADNfAZYAAEAAElEQVR4nKz96Zckx3UnCv5s8S0iMnKtFVWFHQRIAiRIcZG61a3XfP3eGZ2ZD68/zB875/TrkUSdpkiREkWCAEESxFpYas3MWHyxZT5cu2bmHpFFdk87TiKzInwxN7t27+/u4kHXeakAIQScc3BWwKsSAoCWgBCAAOAc4IYe1lpUVQWlJLwAPIDBANYC1nt4D5RawHsPay2stRBCQAgBALDWQkKg6zpYa6G1hlIKAKC1RlEUUErAWsAbByEE...
math_vqa
{ "ground_truth": "$$\\left (3,3 \\right ) $$", "style": "rule" }
{ "answer": "$$\\left (3,3 \\right ) $$", "id": "9947254b-a0cd-4af9-bcd5-f7088ce6748e", "index": 3666, "question": "As shown in the figure, place the \"$$QQ$$\" smiley face in a Cartesian coordinate system. It is known that the coordinates of the left eye $$A$$ are $$\\left (-2,3 \\right ) $$, and the coordinat...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAsIAAAIJCAIAAAAgX8z5AAEAAElEQVR4nOz9aZckuY0gigKk+RIRmZW1a2lJVxptPd3z7n39///Bu+fMmelz72mVSmq11tqzKjMjwjcj8T7ACANB0tzcwyMzNdM4UpaFOY0EQRAAQRDEfX8gohhjjBEAnHPOOUQEAABARH5GRAQEAAICACLiAvKAiJQAEiDiIYx/SoVSrS7Mf0rTBpxz1fcxRsFQKpR6YoymCVMNInLNfd+XSAKAF1JAhlikqFElBafhD65KN/5T0NM/Vesx...
math_vqa
{ "ground_truth": "$$6$$", "style": "rule" }
{ "answer": "$$6$$", "id": "0c0c89fd-ce90-4c07-bebb-3329323422b2", "index": 3198, "question": "As shown in the figure, to make the surface development diagram fold into a cube along the dotted lines so that the sum of the two numbers on the opposite faces is $$0$$, then $$x - 2y=$$ ___.", "source": "FanqingM/...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAALkAAABNCAYAAAD6rsVTAAAd8UlEQVR4nO2de0DN9//Hn+ecsjHGzKVFmUolJedbLklISshlJZb0xTBW7gyNXVwWNotWw1wybNhcNkvZyv3Sxa0Llp+oZpUulHTS5XQ+z98ffp2fVHQ5dap5/FWf8/m8X8/POc/35/3+vK8iksQrXtGE0VC3gFfUjKSkJGRkZKC4uBiCIKBZs2YwNjZG27Zt1S2twSFWt4C6JiIiAr/88ou6Zaic0NBQODo6YvPmzTh8+DCmTJmCkJAQdctq...
math_vqa
{ "ground_truth": "8", "style": "rule" }
{ "answer": "8", "id": "fa4f332f-3081-4ae4-9a4f-ed5c1a2a96b5", "index": 763, "question": "As shown in the figure, in parallelogram $ABCD$, $AB=3$, $BC=5$, the diagonals $AC$ and $BD$ intersect at point $O$. A line $OE$ is drawn perpendicular to $AC$, intersecting $AD$ at point $E$. $CE$ is connected. What is th...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAXYAAADgCAIAAACYdNrYAABb7UlEQVR4nO19Z5wcxZ129fRMz/TM7M7O5iAJRZQFQgEhgiyMEYhkGQ5khBGc4XXCNgYfJhqb4AOMCCbZYOKRsY3BpMOc7xA5HQibDEJCKGyaHLp7urveD4/nf6VZaSStZnZXq3o+7K+3p6e7uqbqqX8uhXPOJCQGG7Zte71exphhGIFAACfz+byu64PaLomdhWewGyAhwRhjXq93zZo1jLFAIIBlL5PJSH4ZBlCkFCMxdMA5d11XVVXDMHw+...
math_vqa
{ "ground_truth": "115°19", "style": "rule" }
{ "answer": "115°19", "id": "ed64a372-748e-4b4d-917d-da8116b5ec6d", "index": 3332, "question": "As shown in the figure, in △ABC, DM and EN are the perpendicular bisectors of AB and AC, respectively, and they intersect BC at D and E. If ∠DAE = 50°, then ∠BAC = ______, and if the perimeter of △ADE is 19 cm, then ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKgAAACXCAYAAACBZxDMAAAvvklEQVR4nO292XNbZ3bu/QMBYgZJcCbBWRRJcRIpyRpIUZMlWXZ7kDon3V1OVbqS1KkkVd+5ycWp+u7zD6S+cy4SV1JJV6fbdtqWbcWSKEocJYqjOA/iPIsiQQIgCGIGvgt5b0MSJXEmReGpcllFAnu/AJ+93vWu9ay1JH6/308QQexRhOz2AoJ4Hg6Hg9HRUZxO524vZU8gSNA9huHhYb744gtGRkZ2eyl7AkGC7iFYrVYePXqERCIhPDx8...
math_vqa
{ "ground_truth": "$\\frac{1}{4}$", "style": "rule" }
{ "answer": "$\\frac{1}{4}$", "id": "f6d4abb2-235a-4150-ae71-10b01da44f0e", "index": 2134, "question": "As shown in the figure, in $\\Delta ABC$, it is known that points $D$, $E$, and $F$ are the midpoints of $BC$, $AD$, and $CE$ respectively, and ${{S}_{\\Delta ABC}}=1c{{m}^{2}}$. Then, ${{S}_{\\Delta BEF}}=$$...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAAB+CAIAAACYv7lvAAAK1ElEQVR4nO2dT2wSXReHD4ba1qJp0jRhJ02qkuZNxOgC2yalcSFqorjRmqhQF2BXZWPKDjVfAo0LYFVsNKgbqTGhbVLGGmO78JW4MGXxpm2EBNQa2IFJk2FBMt9iYDoMM9OBYbiXlmdF5x+nvzlz7pl77r2oKIqCNgpwBLUBBxaslT1z5kyhUEBtRZ3gq2w8Hv/169eHDx9QG1In+Cq7vr5eLBY/fvyI2pA6Qa5sMjCiUqkcBP1xJJAs71he...
math_vqa
{ "ground_truth": "$$6$$", "style": "rule" }
{ "answer": "$$6$$", "id": "9facbfd8-691b-4a46-9b2d-b82d3272d766", "index": 3021, "question": "As shown in the figure, the line $$AB$$ passing through the origin $$O$$ intersects the graph of the inverse proportion function $$y=\\dfrac{k}{x} (k>0)$$ at points $$A$$ and $$B$$. The coordinates of point $$B$$ are ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAMoAAABtCAYAAADgfP7+AAA2v0lEQVR4nO29d3hVxb4+/q61WxqBlJ1GDoFQRQQ5dAEpDyACougPsQCPB7zYjw0utmtB8KBcFRXRr5WiokewAiJXVBCVGw6oV5EmTWr6LtmrzMze7++PnURASihpnLzPQ0n2WmvPmpn302dGI0k0oAENOCH02m5AAxpQH9BAlAY0oApoIEoDGlAFNBClAQ2oAhqI0oAGVAHO2m7AmSIcDiMSiUDXo5xnJIJIJAK3x1PLLWvAuYR6TRQpJUpL...
math_vqa
{ "ground_truth": "$\\sqrt{7}$", "style": "rule" }
{ "answer": "$\\sqrt{7}$", "id": "185aa306-f48c-4a39-998f-e2dff9c68aff", "index": 2356, "question": "As shown in the figure, in rhombus $ABCD$, $AB=2$, $\\angle DAB=60{}^\\circ $, the diagonals $AC$ and $BD$ intersect at point $O$. A line through point $C$ parallel to $BD$ intersects the extension of $AB$ at po...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKcAAABFCAYAAAAvmvZlAAAb2klEQVR4nO2deXzU1bn/399tvrNkMllQlH1fRFwQcEUFd6xavXVBf3VBvLZKbav+Wr0XilJbq161L2+1LrXXK8pttYtoFdf21oKALAG1lUUqKAETliSTWb7rOfePSQYhmSwzQxI1n7+SmfM955nvec5znvNsR5FSSnrRix4ItbsJ6EUvcmEf5hS+QAjRXbT0AvA9QSrldDcZPQJZ5hRC0lCfINFo0bvTdx8UFVSld0MD0Jv/UBSFUDiIoigo...
math_vqa
{ "ground_truth": "11", "style": "rule" }
{ "answer": "11", "id": "d5d28b6b-433d-473d-94ef-32f98003be91", "index": 272, "question": "A workshop divides 10 workers into two groups, Group A and Group B, to process a certain type of part. The number of qualified parts processed by each worker in a unit of time is shown in the stem-and-leaf plot. It is kno...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAFcAAABbCAYAAAAGChkXAAAVOElEQVR4nO2de1RUV5bGf5eXgIggCigCBgXBB4SXyEsIAq0GFSR2VtQek85MNLEn6fhCQgSjYIaeSUd7JTNJ98ROxk53ZlpA1KigoiAPiUExKijRRCHyElERKV5VNX9AFRTPW1BAda/+1pKCc87eZ9/v7rvPPqfOPQoymewzYC5ajpLsNGrGufLcwpljbYpo6AELBEGYN9aGDAwp6SmZBL/ujSAIY22MaOgBT8faiP4hB2Rcysvgp/ZJ6OnK...
math_vqa
{ "ground_truth": "3", "style": "rule" }
{ "answer": "3", "id": "729f922a-b4e3-4401-9d3e-dd2856153f8f", "index": 3995, "question": "As shown in the figure, in the equilateral triangle △ABC, AE = CD, EF ⊥ BD. If FG = \\sqrt{3}, then EF equals .", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVkAAACPCAYAAABQ4qhdAADBMElEQVR4nOy9d5wdZb3H/545c3rf3rLpISEhSBIpUgWkioAiAhYQUREVrgXx3qvoVX6KolwV8CpW0IsUKUoEQVAp0iGElkB62V5O72dmfn/MeZ6dnZyzuyEB8fe7X15Lzp6d8tRv+XzLo+imYQKYpokgRVFQUOTv5UoZwzDweDyoikqhWMDv85PL50DVUBQFwzAI+H0A5PIF3G43qqqiuVRK5QqGYaBpGoZhUKlUcLvdeD1uSuUKqqqiqiqm...
math_vqa
{ "ground_truth": "$$V=3\\sqrt{3}$$", "style": "rule" }
{ "answer": "$$V=3\\sqrt{3}$$", "id": "ea3fa7f0-01c8-458e-a00e-a54c66cdff06", "index": 3938, "question": "Read the program: The output of this program is ___.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVAAAAFdCAYAAABVdjUHAAEAAElEQVR4nMT9V7MdN7Iuin5AjTHnpHeivPfeUt77Vru1917H/LUTcR/ufThxI9bae7m28oYSKU9ZSmpJlNRqeVGkRDfdKOA+AAkkEokaY6r7xAWjOGtUoYBEIpH5JayZ9M4jBu89jDHFvUN+Rs8BwBhTxOffeO/h6N45wFg453H0+Ams27AeXdcB8IB36KwBvIeBAaVEaYD9Nh4wLH+EFOBz9ukZAHTGhB8mfO96V9BHzylXWZZW0HjEg6S9...
math_vqa
{ "ground_truth": "$$70^{\\circ}$$", "style": "rule" }
{ "answer": "$$70^{\\circ}$$", "id": "15738314-2739-4561-b0b7-d3e8c2390872", "index": 1648, "question": "As shown in the figure, in quadrilateral $$ABCD$$, $$CD=CB$$, $$\\angle B=\\angle D=90^{\\circ}$$, $$\\angle BAC=55^{\\circ}$$, then the measure of $$\\angle BCD$$ is ___.", "source": "FanqingM/MMK12", "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVoAAACfCAYAAAC4AxHFAAAaeElEQVR4nO2df4wc5XnHP7lc3ZNzJWvZFrbshBO4lgtOdBVGMYopG8lCFnXTa+oIU0A5N27iUNdCyFFMS5sjbmSEE1xhEpc6reO41C0g7GILp3Kom7qpm5LULaUFhaSADMXITSDGDcShXP/4zmT35mZ2d2be+bnPR1rd3szszDPvzDzzvM/zvM8LhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhuGAV4oWwDD6icGiBTCc...
math_vqa
{ "ground_truth": "$$77$$", "style": "rule" }
{ "answer": "$$77$$", "id": "d6ce3c3f-1d9b-4d94-b5df-c3cb9de54d06", "index": 1936, "question": "Isosceles triangle $$ABC$$ is positioned in the Cartesian coordinate system as shown in the figure. It is known that point $$A(-6,0)$$, point $$B$$ is at the origin, and $$CA=CB=5$$. The isosceles triangle $$ABC$$ is...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAPAAAAEgCAYAAACKHP4JAAB9AElEQVR4nO2dd5wlZZX+v+9b8YbOMz05k7MERUABFVFZFAMqKq6iKOIa1pxQ15yzYlrUVcwKssqiIAI/A0mChCENDJNTT8ebKrzn98db9/ZtZoBhmNRNPXwu011Vt1LXU+95z3nOOUpEhBw5ckxK6N19Ajly5Nh+5ATOkWMSIydwjhyTGDmBc+SYxMgJnCPHJEZO4Bw5JjFyAufIMYmREzhHjkmMnMA5ckxi5ATOkWMSIydwjhyTGDmBc+SY...
math_vqa
{ "ground_truth": "17", "style": "rule" }
{ "answer": "17", "id": "69e8c665-39cb-4dfd-b9a1-d47c3bb71d86", "index": 3718, "question": "The toy airplane was discounted by ______ yuan during the special offer period.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAxQAAAJNCAIAAAAnF6RNAAEAAElEQVR4nOz993MjSZImDHtECkgCBLXWoorVVV0tZqZnZ3futffu7O7+5TP7zu7dtdnp6WlVikWttYJWKSK+HxwIBFKAIAskQRLP7lQnE5mRIT2ecPfwIEXT4pxDFaQK+WY9GP6E/xJCxL8I+VfOOaUqXog7eKEoiviinAKl1POr+CJjTKSA+cTnxeviVz9oCnFkRjxP6iEXxw25yI58Nvh6A/B6iPpxQJT32hw2BmNMfl0koqoqeNWn43Pi...
math_vqa
{ "ground_truth": "$$\\dfrac{\\sqrt{33}}{6}$$", "style": "rule" }
{ "answer": "$$\\dfrac{\\sqrt{33}}{6}$$", "id": "bda84dfa-17f8-4172-92e9-1a74b92e71f8", "index": 2026, "question": "As shown in the figure, the edge $$CD$$ of the regular tetrahedron $$ABCD$$ lies on the plane $$\\alpha$$, and $$E$$ is the midpoint of the edge $$BC$$. When the regular tetrahedron $$ABCD$$ rotat...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAABkCAYAAABw4pVUAAADWElEQVR4nO3cPWsUURiG4XuTjUaMgkGCShDBxK/CRgs7S2tFBK38D1oIgoeDIFgoFvoDLC0sBRHBPyEWCpLGjxhRCYkQN5u1OBuMZGcWYvbNIzxXO5ucOXvP7KZ4M42cM6ZjaKtPwP7mIGIcRIyDiHEQMc26gyml48A4sBJzOrSAMWA4aL1lYBHYBnQC1hsGZnPO76pe0Kj6szeldAJ4Bnwh5k5aAQ4BL4HvQGPA63WACeAsMEPcp8Vu4FzO...
math_vqa
{ "ground_truth": "$\\frac{1}{3}$", "style": "rule" }
{ "answer": "$\\frac{1}{3}$", "id": "ccfac331-0143-4c1d-a2fa-f3486cb32fda", "index": 3869, "question": "As shown in the figure, in a '3×3' grid, there are 3 small squares painted black. If Xiao Ming throws a dart at the grid once, the probability that the dart lands on a black square is.", "source": "FanqingM...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOcAAACoCAYAAAAb+vmZAAA7zElEQVR4nO2955McyZmn+Xio1DpLawWNBhot2N0cqubs8M5mdu/Wztbuw9n9g/NhbM9mbPb2OJwhm2y2Qgs0ZAGF0lqnVhHu9yEyS6AKQBVQKao6Hxqb7KzMCM/IeMPdX/F7hVJK0aZNm5ZDa/YA2rRpczxt47wgPHr8lOmZuWYPo80Z0jbOC4BU8Mc//olvv7937N/nFpbY2NwCIJ3O8MWXd7n/4DGFQrGRw2xzSoxmD6DN27Oxsc339+7h...
math_vqa
{ "ground_truth": "4.5m", "style": "rule" }
{ "answer": "4.5m", "id": "5d379a0a-43f7-49d1-a52c-6716f9ff17a6", "index": 1255, "question": "In a certain shot, the ball's trajectory is part of the parabola $y=-\\frac{1}{5}{{x}^{2}}+3.5$, as shown in the figure. If the ball hits the center of the hoop, then the distance $L$ from Xiao Ming to the base of the ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAK6CAIAAAC16g1YAAEAAElEQVR4nOz9aXMcyZIlCqra4mvsgZVMMu/W9arrtfTrkf7/H/vDyMhIT/erV1W36i6ZyRVb7L7aNh803OAECCTBBAEE4UdS7g2CoIeFh7nZMdWjR3GVV9ChQ4enAWstIgJA+38BwDn3mMPq0KFDhy+AeOwBdOjQ4RKMMQBwzhGHcM55VtGhQ4cOTxwdpejQ4QmhC0t06NBhd9FRig4dnhAQsR2Z8OkPa+2jjqtDhw4dfh0dpejQ4QmBghOI...
math_vqa
{ "ground_truth": "$$m \\geqslant -1$$", "style": "rule" }
{ "answer": "$$m \\geqslant -1$$", "id": "05a1dfe2-dc0e-473a-87ae-5f10a8c82f42", "index": 557, "question": "The graph of the quadratic function $$y=ax^{2}+bx+c$$ ($$a \\neq 0$$, $$a$$, $$b$$, $$c$$ are constants) is shown in the figure. Then the condition for $$ax^{2}+bx+c=m$$ to have real roots is ___.", "so...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAAmCAYAAAA1FbcPAAAPZUlEQVR4nO3de1SV5Z7A8e++cRWUi4RyWwvRdFmCildC0yxRQ2k4Xo+ZZaOUXU7TNIPH1rTWaY41M8q4tCPpWB51FV2OFl4SNTHBQBMUk5xIDAW2yv2ibPb1feYPhbEpo4n33aY8nz9Ya2/g93v2+777/T3Pe3t0QigCdEiSJEnSrRhBR0VFBTt37mTq1KlERkbicrm6HdhgMODv79/5+uzZs9TV1REXF4cQAiFEt3P4+/tjMBi6HeeXKikp...
math_vqa
{ "ground_truth": "4n+3", "style": "rule" }
{ "answer": "4n+3", "id": "7402d20f-95c9-4fed-b1d8-2324528b4997", "index": 3826, "question": "Arrange matchsticks to form the following three '日' (sun) shaped patterns. According to this pattern, the number of matchsticks needed for the nth '日' (sun) shaped pattern can be expressed as.", "source": "FanqingM/M...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIcAAABcCAYAAABEHqbmAAAHN0lEQVR4nO3db2gTZxwH8O9tspVNMC98kcIGXqlCRF9caF6Yd6Y4WMMcNihYYQN1Y+11Y2o3mPrKtduQujF318JofSFYYZAKumbQkOuLQfpCyb2oNC8acsIGdSC0oNATC89edMna5tJ/udw9d/l9IC9MUvtL++We55577leBMcZAiIXX3C6AVFKHVQiCAEEQEI6EAQC9Pb2O10Hh4IhRMCAIAvIzeTDGwBhD8m4SgiAgdDjkeD0UDo607G+B...
math_vqa
{ "ground_truth": "140", "style": "rule" }
{ "answer": "140", "id": "1496ab03-2079-406b-b061-d7bf1e55aade", "index": 1849, "question": "As shown in the figure, lines AB and CD intersect at point O, and ∠AOC : ∠BOC = 7 : 2. Then ∠BOD = ____ degrees.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIQAAABGCAYAAAANZDwYAAAQBUlEQVR4nO2deUBUVfvHPwMDMww7iLjyKmriRq5ommVqkBq9VmoaKeaSuYVa2k/FtdTqZ669pW9pLggqaosaZpi5L4ipyCIkCoLsMDAMw8wwc98/MJMiBYYrmPP5y3Pn3PM8987XM+c+z3MPEkEQBMyYuYNFXTtgKmVlZYSGhhIZGSm6raysLLZv3058fLzotuoM4RFHpVIJgODj4yO6rcOHDwuAsGLFCtFt1RXizRBG0UaugEQiQSaT4eDg...
math_vqa
{ "ground_truth": "10", "style": "rule" }
{ "answer": "10", "id": "126656ab-d9f9-4368-89ca-68eef6a170c1", "index": 451, "question": "The stem-and-leaf plot in the figure below records the scores (in points) of five students from Group A and Group B in an English listening test. It is known that the average score of Group A is 17, and the median score o...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAABzgAAAFvCAIAAAC5I4oxAAEAAElEQVR4nOz9W68tS5Yeho1LRORtznXZlzrV1d1FiqZFCRBIw4YEygIEP/hNv8EG/BsNGLIf7QfKlAHLFAi7aVDNblZ31alz9t5rzUte4jKGH0ZmrFxr71Pspoo0qZ4DhVNzz5UzMzIyMiLGN77xDfyXvz4jIjMTEQDIZt57+JZlUERERFUVEQAgIiJiZvtGVe1IIkIFAMDtm/qn+rn+t/7JTl4/1/9+bfsz7A+zD9a2r01E9ke++dXXp7Xj...
math_vqa
{ "ground_truth": "$$6$$", "style": "rule" }
{ "answer": "$$6$$", "id": "e5227a0a-c073-45c0-abb9-2fd1c6d614b6", "index": 2429, "question": "To study the reproduction of a certain type of bacteria in a specific environment over time, the following experimental data was obtained, and the regression line equation was calculated as $$\\widehat{y}=0.85x-0.25$$...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA78AAAHPCAIAAAAUP/olAAEAAElEQVR4nOz9WZMsSXIeCqqamS8Rkes5dWrpBaiWSxDkDIQQ3ochr1DIPzBXZjh/9T7hgVdkKMIrAhGSMxgMCQwaC9HdVV1VZ80lFl/MTOdB3TUszMMjIyIjMyPz+IeWg6hID3Nb1T5dTA2ttQAAAIgo/wKA937D90op+Wbz80QEzwF99VRK8Z/4X2kdtzfsBP68a3sJ13+PgATECF+hUBF06tM+7L3nn2AAfjiqf299euoflhl+qaC3qJ0Q...
math_vqa
{ "ground_truth": "$$10$$", "style": "rule" }
{ "answer": "$$10$$", "id": "822acd4a-2951-4fec-87b4-8b00af9cb5d1", "index": 607, "question": "As shown in the figure, a cargo yard has two stacks of containers, one stack has $$2$$ containers, and the other has $$3$$ containers. Now, all containers need to be loaded, and each time only the top container from o...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKcAAABcCAYAAAALQ6U2AAAX8klEQVR4nO2deVgUV/b+34YGgYZuGwIOiKIyKLijBncEURw0Gre4oBm3qDwY0URRo8mo4LhMTER9YkaMuGNcJi4g4OMYh0RUVNzGdXDfQYQWuwFZ+v39kS/1S0d2e6Ph859Vdc89jW/VrXvuuadEJIl66jFCzAztQD31lEe9OOsxWurFWY/RUi/OeoyWOiPOJ0+e4Pjx44Z2o85QUlKCd51ri7Xki1Hz4sULjBs3Ds2aNUNAQICh3akTHDhw...
math_vqa
{ "ground_truth": "28", "style": "rule" }
{ "answer": "28", "id": "52ad16a1-33d8-4bc2-9e50-7a4e69126732", "index": 1203, "question": "As shown in the figure, in rhombus $ABCD$, $O$ is the intersection point of diagonals $AC$ and $BD$. If $\\angle CAB={{62}^{\\circ }}$, then $\\angle ADO$ equals °.", "source": "FanqingM/MMK12", "split": "train", "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAgcAAACICAIAAAD8ut9IAAC6HElEQVR4nOz9eZBc13Ufjp+7vLX3nn0fADPAABisJABiIQkuEEVSFCVLsmRHFp1UxXIc2+VUUvknqUqlXOWkUnHl60RxnF+5ZMVWLCqyJZMUSXETAZIgCYDEDhI7BsBgtp6Z3vut997fH6f7oQkMIAEmRVKaQ1ZXo6f7vdev7z3r53wOUUrBoizKL1auX3NyofcQAKoUufbd5EYHVQQIXeDgNxICAFLdygekpEKCpPV/0+gwFFjTK/XrucnF...
math_vqa
{ "ground_truth": "28", "style": "rule" }
{ "answer": "28", "id": "f092089c-1a03-4870-9a83-f1d19b3fd7f5", "index": 654, "question": "Xiao Yuan accidentally tore off a part of a rectangular grid paper. The original area of the grid paper is at least ______ square centimeters.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAWsAAAIwCAIAAADPhd2GAADOvElEQVR4nOx9Z5wUVfr1reocJxFmhpyTSFgEkWREF8GAmFHBhGENGNC/a8A1vOZ1V0UxgKiIggqYRTHBSlAUFCTDkGGY3KG6qrur3g9n+9lLzwxh6Djc82F+3T3VXbeq7j33yY9kGAYTEBAQaBDkdA9AQEAgiyEYREBAoOEQDCIgINBwCAYREBBoOASDCAgINBzmdA9AoG7U5yOTJCnFIxEQOAiEDCIgINBwpJlB6txpo9FoOBzWdd0wDF3X...
math_vqa
{ "ground_truth": "341", "style": "rule" }
{ "answer": "341", "id": "99b5781f-a625-446a-901e-c18b19f8c149", "index": 2122, "question": "Execute the algorithm represented by the program flowchart shown in the image, the output result $$s$$ is ______.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAicAAACnCAYAAADKf/wsAAEAAElEQVR4nLT955ccR5YnCv5chIeO1BoJZCYSWpAgBEEA1EVRrKquLtFd0z1veva8/jofev+G3f22+86+2bPzembPzvR5/Wq6e0qzJKsIEEUCJEAogtAqoRLIRCZShna5HzzM4/oNc48Eq9dw8kTAw01du3bvz65du6YsLtme4zgAAE3ToKoqPM+D53kQiX5XFCX4cxwn+O55HlzXhed5wTNN04Ln4pkoTzyjdbmuG/zueR50XYeiKFBVFaqq...
math_vqa
{ "ground_truth": "$$\\dfrac{97}{2}\\pi $$", "style": "rule" }
{ "answer": "$$\\dfrac{97}{2}\\pi $$", "id": "eee82e89-4e2a-4ab7-a5bc-54cda2c40c37", "index": 3958, "question": "As shown in the figure, circles with a radius of 1 are drawn with each vertex of a triangle, quadrilateral, $$\\cdots$$, $$n$$-sided polygon as the center, and the circles do not intersect with each ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAJcCAYAAAA4v5mgAAEAAElEQVR4nOz913cdR5rmjf7CZOZ28AAJeopOFCmK8l5VXaUyXd1V3V1zanrM5flrzsX3D5xZ3zo3M7PWuNVfd1fb6jIqlbyjHCla0VuA8NukiYhzEZmJDdCAJZAiRO2HC8TGNpmRZscbr3meV6SZceQQQiz5DeBc+fJXQve27gdWGr+UAmsdxhiUUkgp8s+BFJAkKRKBEAIpJaJ43TqstSilbtjP8n0655a+LvLzIgRKSf/c8nEX47vtscHt...
math_vqa
{ "ground_truth": "$$4$$", "style": "rule" }
{ "answer": "$$4$$", "id": "0d671a16-b3fd-4b78-9fa5-736c9076a966", "index": 2474, "question": "If the program flowchart shown in the figure is executed, and the input is $$x=4.5$$, then the output number $$i=$$___.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAuEAAAIECAIAAAA4q2f0AAEAAElEQVR4nKT997cdt5EoChfQacdz9smB5GEUKSpZtixrZNm+d76x5/67d827607wvPFITgqWSErMmTw5px07AN8Ptbt2daH3EWceltZRszcaKFRCoVAoqNebO0opz/M8z1NKKaUAwFobBAHkRbFirTV5sdYqpbTW/EP8i/9UShlj8ME6RXzleZ7WWnsgKmD7vV4Pq2mtEVSExBqltdZaUzvYndaa2qE3An5jTJZlSZJkWVatVmmk/IFaVsXi...
math_vqa
{ "ground_truth": "$$\\dfrac{1}{3}$$", "style": "rule" }
{ "answer": "$$\\dfrac{1}{3}$$", "id": "750f94e8-6303-420e-8c29-549580158205", "index": 2776, "question": "As shown in the figure, quadrilateral $$ABCD$$ is an inscribed quadrilateral in circle $$O$$. Extend $$AB$$ and $$DC$$ to intersect at point $$P$$. If $$PB=1$$ and $$PD=3$$, then the value of $$\\dfrac{BC}...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAALkAAAC8CAYAAAAkYA/vAABDQ0lEQVR4nO2d529cV3r/P9MbOexV7BQ7xSpSlCiqWl2WZHvXXif7ahf7JkCABQIEeZH/IUGADRIgm91sdr2xZXnd1KxOUaIkShR7EXvvnTOcPr8X+p27pERJLMMyNL+AIVl37r3n3vucc576fWRut9vNNraxhSHf6AFsYxtrjW0h38aWx7aQb2PLY1vIt7HlsS3k29jy2BbybWx5bAv5NrY8toV8G1se20K+jS2PbSHfxpbHtpBvY8tjW8i3...
math_vqa
{ "ground_truth": "$\\frac{1}{5}$", "style": "rule" }
{ "answer": "$\\frac{1}{5}$", "id": "c82bd6e8-95a7-46f3-a4ff-1990bcf9c0b0", "index": 613, "question": "Ancient Chinese mathematicians discovered and applied the Pythagorean theorem very early on, and provided a theoretical proof of it. During the Three Kingdoms period, the mathematician Zhao Shuang of the Wu Ki...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKYAAACGCAYAAABXJPFBAAAchElEQVR4nO2daXNb15nnf3fFSoAgCXCnuIrWZi2m5FhWPD2VnnFSTjxJTU/P1KRq3kx/k3yLvE2lZtqpdJLy2MnMuDO223JatiRLphZSkUxt3BcQJNa7zosLkBAIrgKJS/H+qlgggHvufXDu/57lOec8R7Bt28bDw2WI9TbAw6ManjA9XIknTA9X4iphGoVlFmYf19sMDxfgKmHOz8/z4MEDwKy3KR51xlXCXF5e5smTJ2i5VL1N8agzrhLm...
math_vqa
{ "ground_truth": "4", "style": "rule" }
{ "answer": "4", "id": "2786599d-4033-403c-aede-497ea4f9f700", "index": 566, "question": "Given the function $y={{\\log }_{a}}(b-\\frac{x}{2})$ (where $a$ and $b$ are constants, and $a > 0, a \\ne 1$), the graph of the function is shown in the figure. What is the value of $a + b$?", "source": "FanqingM/MMK12"...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA3IAAASgCAIAAAAy5O0cAAEAAElEQVR4nOz955MkV5reCx7lWoRWGalLoqBaYHp6OL27vCR3uXY/7f+6u7RrvFwO73A4c5uDbjS6USiUTp2htWs/5+yHN8MRKKDQDXRVVgE4P4PBoiIj3I97qMdf8bz4oj9BCoVCoVD82EnTlFJKKcUYwz0YY4wx5/zNLkyh+NHA3vQCFAqFQqG4DmzbFkJIKaWUoCzhn4XKVCgUfyXkTS9AoVAoFIrrAOKUQghQk3BncUOhUPz1qGilQqFQ...
math_vqa
{ "ground_truth": "$$\\dfrac{5}{27}$$", "style": "rule" }
{ "answer": "$$\\dfrac{5}{27}$$", "id": "6f3a7ed3-0126-4644-b1c3-e873fdf59f39", "index": 1379, "question": "Execute the program flowchart shown in the figure, then the output value of $$S$$ is ___.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAALQAAABlCAMAAADTcTmKAAAB0VBMVEX////+/v7///1qRQAAAAABAAAAAEPV//6v1P6MakTV//3+/vz//9ZDRWtEa4zUsIz+//8ARWmMsNSvjWoARGv+/9VDAEPW/////v//1a9DbIywjGpqjK9DAAD/1a1EAAABAQGNa2pFRUWMsK7T//7AwMDAwL6oqKh/f3/s7Oxra2t4eHg/Pz8+Pj4HBwc4ODhAPj9lZWUUFBQcHBzExMSvjGxEa4q/v7+kpKR0dHQDAwNnZ2eZmZng...
math_vqa
{ "ground_truth": "$$30$$", "style": "rule" }
{ "answer": "$$30$$", "id": "b84dd488-6702-4f8f-b611-5993b9527f1d", "index": 1712, "question": "In $$\\triangle ABC$$, $$\\angle ACB=90^{\\circ}$$, $$AC=4$$, $$BC=3$$. In $$\\triangle ABD$$, $$BD=12$$, $$AD=13$$. Find the area of $$\\triangle ABD$$ ___.", "source": "FanqingM/MMK12", "split": "train", "sub...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAWwAAABGCAYAAADo365dAAAp5klEQVR4nO2deXgUVfb3v1XdVb0vCUESFtmXIAyExREQRAYNEFGc8QEGGedhXEAZFmUGww8BB2MwA+MgiyyPgLjBgOACAhMUUUBQApIoIoQE0mTpJE3S3Um6q9d6/+C9NUm6qjpgCInU5x9C1el7blV3nbr33HPOpXie56GgoKCg0Oyhb3UHFBQUFBQahvpWd0BBoSUQDoexbNkyZGVlIRgMgqKoCBme56HT6UBRFDwej6gMkVOr1dBqtfB6...
math_vqa
{ "ground_truth": "4n+8", "style": "rule" }
{ "answer": "4n+8", "id": "4dbd12f6-e1fc-4e06-8472-e1bac426c050", "index": 2777, "question": "The figure below shows several patterns made using square tiles of the same size in black and white. According to this pattern, the number of black tiles needed for the nth pattern is ______. (Express using an algebrai...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAVcAAACKCAYAAAAe5gldAAAgFklEQVR4nO3dfVRT55oo8CcxEBKQojEihihoqoi0jU25yqhzSCsWHHCdTActIgXFU+26rh5dx7F6z7Ihp3euH8OMnV5nqg5REDUq0xtFbsmyWmiVhR6NzWnRgxSRyofYGEWBhI2RzB+4NSIfIR/sjzy/tbqW5PNJ2Tz7ybvf93k5Go0GEEIIeReX6gAQQoiNMLkihJAPYHJFCCEfwOSKEEI+gMkVIYR8AJMrQgj5ACZXhBDyAUyuCCHkAzyq...
math_vqa
{ "ground_truth": "2.5", "style": "rule" }
{ "answer": "2.5", "id": "04ceda1d-dc4b-4972-b6c8-fea5852d9759", "index": 3687, "question": "As shown in Figure 1, AC is the diagonal of the rectangular paper ABCD, with AB = 3 and BC = 4. Now, the rectangle ABCD is cut along the diagonal AC, and then △ABC is translated along the AD direction to get △A′BC′ in F...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAI8AAAB2CAAAAADUlZ+eAAAJuElEQVR4nO1bfWxbVx09LymkSBvZhKca5i1scZGZ2equnZaxUhcaRpDsrKipWrSgtagsQAZkIk6DlKlFrdTQVmqmRWLuJBREqkWiJV2baqFORSpSEZFWHpAqQbGjdN3UZAnIJUh1qfsOf7znz3ef/ez3kiLU84/vu18+79yv3/3d+yTifwpld5tADu7xyY97fPLjHp/8MMtHOH0VmtPqJUmSpPql4CMZiGRu6LQ/QoZcS8GHOuHM2DQ9KZmv...
math_vqa
{ "ground_truth": "$$4\\pi$$", "style": "rule" }
{ "answer": "$$4\\pi$$", "id": "8e211725-d0c4-4470-afef-cd4072e31078", "index": 3749, "question": "As shown in the figure, $$\\triangle ABC$$ is an equilateral triangle, and the curve $$CDEF$$ is called the involute of the equilateral triangle. The arcs $$CD$$, $$DE$$, and $$EF$$ have centers at $$A$$, $$B$$, a...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIQAAAB6CAIAAADxvmyZAAAf/0lEQVR4nO1de3BU1f0/9+597HuzmxcmMYGgJTwkEXyBgBAUgu9RqIU6WEEdx2qptc44ZTr1p+PoUBw7U3xPR2WqjS+e8golasEyWEPFWFEhYkLeyWbfu3f3Ps7vj0/3eA0kJCkhLz5/7Oze3Xv3nPM93+/5vs73cJRSMpygqqphGIQQWZZxJRaLORyOIW3UOQI33IjBEI1GOY6TZZlSKoriUDfnXIAf6gZ0h9/vV1WVEKIoisPhsFgsY4QS...
math_vqa
{ "ground_truth": "1", "style": "rule" }
{ "answer": "1", "id": "36f1a754-8913-4e32-9c45-35f163252a46", "index": 1984, "question": "As shown in the figure, given that the side length of square ABCD is l, and point E is a moving point on side AB. The maximum value of $\\overrightarrow{\\text{DE}}\\cdot \\overrightarrow{\\text{DC}}$ is.", "source": "F...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA1kAAAJsCAIAAACAo/7OAAEAAElEQVR4nJz9+bMkt5EljLoDkZl3q4VVZBVJiaKkUUvd6n2ZsZmx1/Pfz7PPrEfWo5Z1t3ZR3MRikaz93twC/n7wwIkDR+SVvgejFfNmRgAO9+MOhwNw6MuXL0sppRQzExFVTSmpKj6UUsZx9AdUNQ0Zv6aU/BURMTOvZxxHf76UIiJJFM/4K3gd1YqIiPjn/fHAlOScc84ppVKK1mJU/F188AdEZBgGb2scx+Px6K+nlFar1W63G8dxGIZh...
math_vqa
{ "ground_truth": "$$\\dfrac{12}{5}$$", "style": "rule" }
{ "answer": "$$\\dfrac{12}{5}$$", "id": "eed0ebd3-db15-4476-949f-012a35cf63dd", "index": 856, "question": "In the rectangular prism $$ABCD-A_{1}B_{1}C_{1}D_{1}$$, $$AA_{1}=3$$, $$AB=4$$, $$AD=5$$. The distance between the skew lines $$AD$$ and $$BD_{1}$$ is ___.", "source": "FanqingM/MMK12", "split": "train...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAGsAAACRCAIAAABL1NEkAAAqLElEQVR4nOV9eZBU1fX/ff3e6+7X6/QsPcMwwywwwzajM4iMYVFRxjIUYJBSEyMSlWiUJFqxYlJWolbli1paYgixUlhBykQNKiIYWULAgLIMOOzMArMyW8/a+/qWfr8/Pt++v+eMoNP2hOV7/pjq7nnLfeede+5ZPudcRlVVkhTJssxxHP1w/Pjxf/zjH2VlZYWFhdu3b7/hhhvuu+++WCxmMBiSu/7VQlzSZzIMgw/xeFxVVVVVc3NzV6xY...
math_vqa
{ "ground_truth": "10°", "style": "rule" }
{ "answer": "10°", "id": "82670243-bcdd-44a1-aed7-e93567cc2655", "index": 161, "question": "In the right triangle ABC, ∠ACB = 90°, ∠A = 50°. The triangle is folded so that point A falls on point A' on CB, with the fold line being CD. What is the measure of ∠A'DB?", "source": "FanqingM/MMK12", "split": "trai...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABiCAIAAADC7lodAAAo0UlEQVR4nO19aXMbV3Z2dwPoxr5vBEGQILiv4mYuoi05tjx2RuNxVVIzST6k8j1V+TWpyg+YqlRSmSTjcTLjsaSRKFkLF3GVuIIECS7Y18bSaPTyfniiDl5qoSTLnkqVzwcV1ehu3D59z/I859wLUpZl4kd5Q6H+1AP4Pyk/au1t5EetvY38qLW3kR+19jbyo9beRn7U2tvIj1p7G1H/qQdAVKtVnucrlUqtVpNlWZIkURRJklSr1QRBkCRJ...
math_vqa
{ "ground_truth": "72", "style": "rule" }
{ "answer": "72", "id": "52a9e0f2-2b6b-4960-872d-83135af3b661", "index": 1221, "question": "As shown in the figure, the emblem of the Hong Kong Special Administrative Region is composed of five identical petals. It is formed by rotating one petal four times continuously. Among these four rotations, the smallest...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAwgAAAHTCAIAAAAMAaiFAAEAAElEQVR4nOz9Z3OcSZIverpHxKOfVMiEVgRBUSRL9fScmTl3zXa/9tq1u3veXLOdOWf6tKiuIgkChJap5aMiwvdFZIKo6mJPo5osEuj4WTUbhQJTAInMf0Z4uONEE1iWZVmfFCIAABFoTQDAGDIEBOj0Br1eT0pJRIyxcrk8NzfHGH7im2tZ9xf71DfAsizL+nlZoZRSjDHXdV3X5ZwTUZ7nn/p2WdZ9Jj71DbAsy7J+3mQySdM0z3MiAgBE...
math_vqa
{ "ground_truth": "$$4$$", "style": "rule" }
{ "answer": "$$4$$", "id": "4dff3935-c576-4710-8a3e-8efd767a82ba", "index": 3215, "question": "In the figure, in $$\\triangle ABC$$, $$CD$$ bisects $$\\angle ACB$$ and intersects $$AB$$ at point $$D$$, $$DE \\perp AC$$ at point $$E$$, $$DF \\perp BC$$ at point $$F$$, and $$BC=4$$, $$DE=2$$. What is the area of ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAALIAAAA7CAYAAADfNdB4AAAnwUlEQVR4nO29V3MkO7Ln+XMgIlInM6lFsdQRfbvvSJt5mLd520++a7a2tjO2t+dO95FFFlVSk6kzBOD7gEiK0nVKsK5Z/8tgwYrIzEAAHg7XkIFeaI2EiCY+LziPI7xCY+Zp1QwjIMdTxVMj4h/4B74mNAcZAgaoALU7F0cKTQHAxBisAtMMKYREIRFoxAaAJmAx/yDiP4DCzx66C//mITEQa2glEfcVfN+h4yn4cC6quhrkFmYGiQw1CddM...
math_vqa
{ "ground_truth": "228", "style": "rule" }
{ "answer": "228", "id": "4e14e48d-740d-4829-92e1-77b2535a8625", "index": 2901, "question": "The shaded part represents 38, as shown in the rectangle in the figure.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAYgAAACwCAIAAACaf24FAABRe0lEQVR4nO19e5gcZZX+V1V9qb7f5pJ7zAUEBcGACvoDdoOiEReza3xADcLqyqoL+Ki4XhDBBQXERYOI60MkKA+CBPRBFEVQjEERhMguImASQm6Tmb53dXddu+r7/fFun630TE8ywySTnvneP+bp6a7rV1Wnzjnfe94jcc6ZgICAwJEEeboPQEBAQKATwjAJCAgccRCGSUBA4IiDMEwCAgJHHIRhEhAQOOIgDJOAgMARB2GYBAQEjjjMWMNk...
math_vqa
{ "ground_truth": "2; 13; 6", "style": "rule" }
{ "answer": "2; 13; 6", "id": "b16badad-903e-4794-b0f8-4ac325aaac6a", "index": 3004, "question": "As shown in the figure, there are ______ straight lines, ______ rays, and ______ line segments.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJsAAABuCAYAAAAwPmEmAAAIh0lEQVR4nO2d243jOBaGf840sOjJoCsN8t0dwHYaZAAOwHYAHQAZjf1OplGdwcwOsDtnH2T5optF60ZK5wMEdLt0MYp/HfI/pA4FERE6cTBGwlrZfRqzOZwSMKHhB9KCvK59/Fv37QKMMHDjfDdmZWhPKGKQhicCEYHIQgYDIQyqOuwUWzAKDoCWHNWYJgJCAKA17grR8N4CcFCVsNcutmBgYFEPhgxzJQQ4AFZXgpGUhW5CL7E5KAVYC4Ti...
math_vqa
{ "ground_truth": "8", "style": "rule" }
{ "answer": "8", "id": "3170115d-a798-4c3a-acfa-123605663fa1", "index": 342, "question": "As shown in the figure, point F is on side CD of rectangle ABCD. When rectangle ABCD is folded along the line AE, point D lands exactly on point F on side BC. If DE = 5 and FC = 4, then the length of AB is.", "source": "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ0AAAB4CAYAAADor/DnAAAYnklEQVR4nO2de3wTVdrHn3Nmck/apqEtTWkLhRZKy4IiSIUqYK13XpWbu/0o7Iouq6y6Fz++vmKz011fZdFVlNdF1svKoqCIKN4AkaJFysWChSClhVIubdr0Mm2TTCbJzJz3D5YVS6YNmCa9zPcv6HnmzDOT35z7eQ5iGAYUFCIJjrYDCoMPRXQKEUcRnULEUUSnEHEU0SlEHDpaN25tbVVZLJaAXHp92Vva1dtrY0ALIvAAoM3A4D3RwpSU...
math_vqa
{ "ground_truth": "${{x}^{2}}+2x+21$", "style": "rule" }
{ "answer": "${{x}^{2}}+2x+21$", "id": "fd7c2af0-b08e-4435-99ff-f2249b64f685", "index": 50, "question": "The figure shows the floor plan of a house (the unit of length in the figure: meters). Express the floor area of the house with an algebraic expression.", "source": "FanqingM/MMK12", "split": "train", ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAABBUAAAJgCAAAAADw1QSTAADEiklEQVR4nOz9aXMcSZKuib6qauaxIPYIgMyq6q7q6uruc0fuhzv//yeMyIyMyL1zuk+t3V2ZSSD2DRHhZqp6PwSYmazKhUkCYJC0RyhcQES4Ozz8NTU1tVfJUSgUCt+BP/QJFAqFC6OoQqFQeJOiCoVC4U2KKhQKhTcpqlAoFN6kqEKhUHiTogqFQuFNiipcCgZFhsMVAOCA2wc+pcJnCpUqpstABbAHjVYiOv/NQR/ulAqfKyVWuBDEkBlw...
math_vqa
{ "ground_truth": "$$90^{\\circ}$$", "style": "rule" }
{ "answer": "$$90^{\\circ}$$", "id": "2d1f83da-7d1b-41d1-95dd-d4cf2e872f39", "index": 2678, "question": "As shown in the figure, in $$\\triangle ABC$$, $$\\angle C=30^{\\circ}$$, $$\\triangle ABC$$ is rotated clockwise around point $$A$$ by $$60^{\\circ}$$ to obtain $$\\triangle ADE$$, and $$AE$$ intersects $$B...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAKoCAIAAADlPZ57AAEAAElEQVR4nOz9WZMkx5EgDKqau8eRZ904iiAIkjjYAI8eaemdWZkR+VpG5hPZfZlfO0/zMDK73ducbnKazSFBEARAFFD3kZWVd0S4m+6Dumuoq5l5eERGVmWBrY0uenqYq6mp6WWXGpa+AgAiIiLvPQA455xz/BwCeeQyiNh6T6Qf5n86hARISQEAGGS5/lPqkj8tYE0n02OoCt9jAk1VVVzGe++cy/OciMqydM5NJpM8z4uiKMsSEfM89957...
math_vqa
{ "ground_truth": "$$25$$", "style": "rule" }
{ "answer": "$$25$$", "id": "89958e51-39e3-446f-a6e2-d0172addee1e", "index": 1137, "question": "As shown in the figure, in the right triangle $$\\text{Rt} \\triangle ABC$$, $$AB=BC$$, $$\\angle B=90^{\\circ}$$, and $$AC=10\\sqrt{2}$$. Quadrilateral $$BDEF$$ is an inscribed square in $$\\triangle ABC$$ (points $...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAegAAAITCAIAAABDjxgcAAEAAElEQVR4nKz9V3ckOZIgChvgInRQazKTmcnUlSW6Wkx19+zOzLnn7tn9tfu2b6O2u6tVidQ6yaRI6qAIHe4O+x4s3MIc8GDV3PPhVGc7PeCAwRQMBoNBdboRIiIiACillFJaa611HMeImCTJYDCIoggAfN/3fd8LQgCg+sYYRKR/Pc+jl7I1APA8D9JCP1F9rTXXp1+pvlLK932tdZIkxhgA0Forpbgawzks4r0snudRR1SfuzYA1LJSyvM8...
math_vqa
{ "ground_truth": "$$2$$", "style": "rule" }
{ "answer": "$$2$$", "id": "367ee106-9786-4cda-bc4b-8d01a5603203", "index": 655, "question": "As shown in the figure, point $$D$$ moves on the chord $$AB$$ of circle $$ \\odot O$$, with $$AB=4$$. Connect $$OD$$, and draw a line perpendicular to $$OD$$ through point $$D$$, intersecting circle $$ \\odot O$$ at po...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAK0AAABvCAYAAACej0D8AAAN+ElEQVR4nO3df0yTZ7/H8fddj9nMXLYl/rFMWnDDAEdyxMxEfvmMzblNNyLJ9AFxR2DHqMlMgFgGbuIjMwpuummiy1yWI5xMfpiZmCwcz3OUbE4oLMPoljrAlqy/lhOiy2ZGYohrr/NH+a0ghbZ3C99XUgJt73LRfrj6ve/7uq5qSimFEGGgcHK2KI682rHXV1v+oiJt3pQfR5PQinBSOGksisO53R9U1XYIQ+ZN6l2nyYsBTdMe+hiGMLRT...
math_vqa
{ "ground_truth": "$\\frac{15}{2}$", "style": "rule" }
{ "answer": "$\\frac{15}{2}$", "id": "a34544d1-19d6-4681-9591-7236751cb4d0", "index": 746, "question": "As shown in the figure: the vertices D, E, and F of the square CEDF lie on the sides AB, BC, and AC of triangle ABC, respectively. Given AD = 5 and DB = 3, the sum of the areas of triangles AFD and BDE is.", ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA8QAAADYCAIAAACiMr3dAAEAAElEQVR4nOz9+bMtx3EfDmZVb2e5+9sBYiMAEiAWiSa4SCQNSRRXKURxxFCEbHn0DVsORzhmxhH+Zcb+A8Zh/+AfHDEOe8ITHjvGsiyK39BXEi2KlElxAUVQXEDsC7EQIIGHt9z37nK27q7K+SG78mRXd597zr3n3nseeDMQF+f16VNrVuYns7KyVG4NTCSlFAAoUMW/ESe/f0BCVf/cGFNqj1KuOSifICL/rX3e9L7WurZeDQ0NmhNhw3ii...
math_vqa
{ "ground_truth": "$$0.6$$", "style": "rule" }
{ "answer": "$$0.6$$", "id": "62cff5a9-af7c-44e2-bb6b-7ece99597356", "index": 1665, "question": "Let the probability distribution of the random variable $$\\xi$$ be . Then the value of the constant $$a$$ is ___.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAABsCAYAAABZw42oAAAPoElEQVR4nO2de1BUdRTHv7dARDRDSFl88xAxRZlCECwLGcOsrEkbsAjREDAUVFiJgBYMFHUmYIzBhFJrAIfKRwMRKoINNgJmI2E+wlVYTQtxUF4Cu6c/DHIFZB9372P1M3P/2NfvHvje8/ud8/ud370MEREeYxQ8wbcBj2EPoxGTiFBbW4s///yTb1N4w2jELCwsxIwZM+Di4oL6+nq+zeEFoxEzOzsbRIT29nZ88803fJvDC4wxBEAKhQL2...
math_vqa
{ "ground_truth": "15°", "style": "rule" }
{ "answer": "15°", "id": "6be6ee08-e17a-4701-99b6-2f53b946d19f", "index": 2842, "question": "In the figure, △ABC is an equilateral triangle, AD is a median, and AD = AE, then ∠EDC =", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAJsAAABsCAYAAAB99sAtAAAQxElEQVR4nO3dfzSV9wMH8Pe94qIm/RatEpupJamUn0krtiiOStmUojXbWugX27e2tkwrIbVuLXWmH2L0y4+UnCSLzLTMrBzChIQO96Tr3nA/3z86ObOU6/567uXz+u/e+zyf5+2ct+c+n+c+97kskUh0AMAUUJScsUQiURGLxTJjOgjV/7EBtDIdghoY2EwHoAYOWjZKYWjZKIWhZaMUhpaNUhhaNkphaNkohaFloxSGlo1SGFo2SmFo2SiF...
math_vqa
{ "ground_truth": "$2\\sqrt{5}$", "style": "rule" }
{ "answer": "$2\\sqrt{5}$", "id": "c0d0d40c-5c17-4c81-b6f1-b4504efdb32a", "index": 958, "question": "In the isosceles right triangle ABC, ∠C=90°, BC=2cm. If the triangle is rotated 180° around the midpoint O of AC, point B will land at point B1. What is the distance between point B1 and B in cm?", "source": "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIkAAAD5CAYAAAATBhYIAAA2WUlEQVR4nO2deViUVfvHP7OwDLIJgiKIiMqiIKIoKuSGuOWWZqaZZouvltr6Ztli6ZuV1q/U0tzKV809xR0UAVMUUVxABdwFUQbZd5jl+f1hzCupAQIzDM7nurquRp5znvvAd865z3bfIkEQBHSMSqUiJycHlUqFSCSq07oFQUAsFmNjY4NEIqnTup8WpLo2ICwsjMOHD6NUKuvtHSKRCEEQ6NKlCxMmTEAsFtfbuxojIl32JHv37uXo0aME...
math_vqa
{ "ground_truth": "8", "style": "rule" }
{ "answer": "8", "id": "93142db6-66a8-4f81-b71f-01eecef8d422", "index": 535, "question": "The algorithm shown in the flowchart comes from 'The Nine Chapters on the Mathematical Art'. If the input values of $a$ and $b$ are 16 and 24 respectively, then the result of executing this flowchart is:", "source": "Fan...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAA4QAAAIWCAIAAACA9dSQAAEAAElEQVR4nOz955MkOZInCioAY87dg9PMjEhOinTXVG/3zNTuysw+WdmT25W7f3RF7u7JkzvZL7MzIzs7010ki2QlJ0EyeIRzNwrcBzWDw2FmHh6Rkaw7VaqzLcxhoArVHxQKBQmiEACEQvinYRiQRZxzSimlFJ+RhBC2bWemJ4RwzqMoiqIIMyeEEEIYY0IIzjkAUEoJIXG5zMrMJ5cIzyv3bPnkZS+y30dRlPmeUorNlNVAUl+eieSIyD/T...
math_vqa
{ "ground_truth": "72", "style": "rule" }
{ "answer": "72", "id": "4845174b-61b9-4eea-bc24-4953b97f7b00", "index": 1949, "question": "Four different colors: red, yellow, green, and black are to be used to color the 5 regions in the following figure. The requirement is that no two adjacent regions can have the same color. How many different coloring met...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAOIAAAC5CAYAAAA1WePjAAB3uUlEQVR4nO3957cUx5rgjf4iIjPLbYP33gmEERLyBknoIAm5Y9Q6Z3q6p6e717ozn2et+R/m46y71lzz5e25713Tffs908fJS0hIIBBWIBBOWCG8Z9uqShNxP0RmVlbt2gb2BjYSD2tTVWkiIyPiicc/jwjCyNAPCMBo+01IgQEiDAbQGIyp/QkDUghcqVBSgMEel9DvA4YAxtTuFkLUfQJorQc8n72/GURR1Oe+uvYH6X322qbnh/PyQGT0...
math_vqa
{ "ground_truth": "$$\\angle 1=\\angle 4$$", "style": "rule" }
{ "answer": "$$\\angle 1=\\angle 4$$", "id": "ffea9ba6-a666-4709-aeb2-4179523e6e64", "index": 1209, "question": "As shown in the figure, lines $$a$$ and $$b$$ are intersected by line $$c$$. If $$a \\parallel b$$, a condition that needs to be added is ___. (Provide one condition only)", "source": "FanqingM/MMK...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKMAAACRCAAAAACKtVf6AAAKFElEQVR4nO2ce1ATdx7Avxvy4o0SEWMEjIGghJoKZ8UX8hDfVsv1lKrUWu15bRXOmZs5p3MzN9O5m57tnELV3nmOSu+qYs+W2kEtCNWqKFUxHshD3mDkIU8DBALJ3h8kNNn8dkH2t0Fn8vlr97e7Xz78djf7+31/+1uChBce3kQLjAGnIx6cjnhwOuLB6YgHpyMenI54cDri4WVw5HMYu/PKU9K4fDbrOL/U45MnrINRY9+8PFD2t0r2cSwL...
math_vqa
{ "ground_truth": "$3\\sqrt{2}$", "style": "rule" }
{ "answer": "$3\\sqrt{2}$", "id": "fae220bb-5ebe-4819-b45a-7ef4ed824f9f", "index": 1103, "question": "As shown in the figure, P is a point inside square ABCD. By rotating △ABP clockwise around point B, it can coincide with △CBE. If PB=3, then PE =.", "source": "FanqingM/MMK12", "split": "train", "subject"...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAggAAAFfCAIAAACk/aPmAAEAAElEQVR4nJz92bMdx3UmjmZm1Z7n4cznYJ4IAiRBiqA4CaJEyxpoUdK1bLllOzoct/v2W/c/0S+O6H7ol+5+cDssy4N+lK2ZokRRoijOIAlCAAiABDGeedjzvKsy78N3cp1VVQd031uBQOyzd1VWDiu/Na+Um42m53la61gslkwmlVLD4bDf7yeTSSmlEEJr7fu+lNJ1Xdd1R6ORUkpKaYzxfd/3fWOMECIWi+GDUspxHCEEfnVdJaX0PK/b...
math_vqa
{ "ground_truth": "$$\\dfrac{1}{4}$$", "style": "rule" }
{ "answer": "$$\\dfrac{1}{4}$$", "id": "e87def8e-7323-4f4d-99f9-c74a3d459953", "index": 3092, "question": "As shown in the figure, $$EFGH$$ is a square inscribed in a circle with center $$O$$ and radius $$1$$. A bean is randomly thrown into the circle. Let $$A$$ be the event \"the bean lands inside the square $...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIEAAAB1CAYAAABpo4JfAAAcVElEQVR4nO2deVRUR/r3v73R2E2ziLIpbuAyiBiNIoGIEXQEUdGRGGPcj0ZxYVSCu3FLZPSIGKPjEve4JDEuozFqxHUYcY8ioAgKiKAiCkJDQ2/P+wfvvT8QUOm+vUD8nMM5TVXdp56+/b1161bVrYdHRIT3/KXhm9qB95ie9yJ4D4SmduCvjlqthlarhVarBQAIBAKIRCKj+tDgRfDy5UvI5XKUlZVBLpcjNTUVKSkpyM7ORmFhIcrLy6FU...
math_vqa
{ "ground_truth": "140", "style": "rule" }
{ "answer": "140", "id": "6f6b8504-5d04-4995-b1fa-baa8cffc518b", "index": 2167, "question": "As shown in the figure, AB is the diameter of circle O, and points C and D are on circle O. If ∠BDC = 20°, then ∠AOC equals ____ degrees.", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAYEAAABdCAYAAABD0trEAADfbUlEQVR4nKz9d7xc1XnojX93nT5zuspR70IFCYQkQKIYTDMCAzYG24mdG9/YiZ3cmxvnJr8kdpz4JtdOch37vk6zHbcYiDG2MQaDbUzvSAgEAhWEejn9nOkzu71/rL3W7NlnjiB5f0uaz8yZsvdaz3rW04tWrtUCXdcJgoAgCDAMA03TADo+BwGApr4fiDcinwfouo6ui9/4vviOpmnqOtERvU70ekEQ4Pu++q1hGBiG0Xa/TkOuJX5tOQzD...
math_vqa
{ "ground_truth": "$$0.6$$", "style": "rule" }
{ "answer": "$$0.6$$", "id": "2e175c94-417a-49a7-8e28-41e4de3ea71c", "index": 840, "question": "A study group designed a ball-drawing experiment, placing black and white balls in a bag. These balls have no other differences except for their color. Without seeing the balls, one randomly draws a ball from the bag...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAKYAAABtCAYAAAArpxoAAAAOMElEQVR4nO3dbXBUVZ7H8e+593Z3+okk5IE8EQikNUjpIE+6gI4WYlGW66AigpS+sJaC2RKsWVbZHSxrHde1ai2mKtaO7orCgAjomBlLcKlylUJ0JYKsjq5LVhIII2AnDemk00l338d9EWhlwTGWJH3TOZ83qco93fWv5NfnnnvOuX2F4zgO5xiGgaqqKIrC/xeLxbAsi4qKiouOSdLlpiQSCeLxOKZpAtDb24thGBc1fP7553nyySfRdX24...
math_vqa
{ "ground_truth": "10", "style": "rule" }
{ "answer": "10", "id": "ee7e0b24-67c4-427c-b5cd-867739ffde06", "index": 1514, "question": "As shown in the figure, the functional relationship between the height y (m) and the horizontal distance x (m) of a shot put throw is y=﹣$\\frac{1}{12}$x$^{2}$+$\\frac{2}{3}$x+$\\frac{5}{3}$. The performance of the athle...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAApsAAALqCAIAAAD1jghXAAEAAElEQVR4nOz953NcWZYgeJ4rnnDtcDi0BghBTQZDZmRmRIrK6hLT1tbWs7ZmbTM2022zf9fu2u5Yb4vp6qrq6q7OqqxQGYIMBkEBgCChpcMBh8PlU1fshwt6IgQzg5EkIXh+RgsDGKTzOeDw8869555DGs0QEEIIIXTK0eO+AIQQQgg9BxjREUIIobMAIzpCCCF0FmBERwghhM4CjOgIIYTQWYARHSGEEDoLMKIjhBBCZwFGdIQQQl9DKVVK...
math_vqa
{ "ground_truth": "$$115^{\\circ}$$", "style": "rule" }
{ "answer": "$$115^{\\circ}$$", "id": "fc29358a-2ff4-4ea7-8cf7-0809d6452bf3", "index": 2080, "question": "As shown in the figure, in $$\\triangle ABC$$, the angle bisectors of $$\\angle ABC$$ and $$\\angle ACB$$ intersect at point $$O$$. If $$\\angle A=50^{ \\circ }$$, then $$\\angle BOC=$$ ___.", "source": "...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAIwAAAB/CAYAAAA9xiqJAAA1EElEQVR4nO19eZgU1bn+W0vv08MM+2IAAREQQUBA0eCC5CImSKLGXYwmatREzb1ZrssvikFjiHHfrtGoMYnGHaMBUQkuiEaEiAswIpswzNp7117v74/qU1QPAwwwoAy+z1PPdPd0V52q+upb3/MdiSSxH8BxHACALMuQJAkk4dKErRcRiUcBRFAoGLAMGf/3x4dwxc8uguOoiEQAwIUMB4ALCQoAGXBlQCrtXGr1kB0S8pc9gD0NkiAJRVGg...
math_vqa
{ "ground_truth": "$\\frac{13}{5}$", "style": "rule" }
{ "answer": "$\\frac{13}{5}$", "id": "187392af-b87c-4c67-9e41-9bc7f0f228b3", "index": 880, "question": "As shown in the figure, in the equilateral triangle △ABC, the side length is 4. Points P and Q are on AB and AC, respectively. When △ABC is folded along PQ, point A coincides with point D on line segment BC, ...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAUoAAACGCAAAAACeH5yiAAAReklEQVR4nO1deXyNVxp+zr03+yKyEEuqpKVoqNiKFqXUFsvQ2suYNGoZKZ0aSm2lygjaUqWlhjBMVRpRS0vUvgRRIWKLhERCNtmTm3u/M3/cRG6+m/udc5PTmf463/NHfvmd837ve87znfU973cuoVAhBpr/dQH+OFCpFAaVSmFQqRQGlUphUKkUBpVKYVCpFAaVSmFQqRQGlUphUKkUBp2V9LEXOR52uUSEFOJUaAFbiMyeJMQYpv8sRs/C...
math_vqa
{ "ground_truth": "$$4$$", "style": "rule" }
{ "answer": "$$4$$", "id": "7f44863c-4760-484e-8ff9-95edf13946eb", "index": 794, "question": "As shown in the figure, the three views of a geometric solid made of several identical small cubes are given. The number of small cubes used to build this geometric solid is ___", "source": "FanqingM/MMK12", "split...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAMoAAADBCAIAAAABwLg8AAEAAElEQVR4nEz9Z7hd13UeCs+2+lq77336Oei9EwTAAoIEexdFSaTkyJIdySq2dZNY+RwnN8m97rZix+VGcWQ7shpVKIpVrCAJEgRYUIlGdJzedt+rr9m+H5PCk/0DD56NczbWXmvMMcd4x/u+E3b9jud6AIB6o27btmVZQRDYti2ECMMQQljIFzKadTqdWrWWpImEGkJICGHomgQgDCPHsbvdHsbYsiyCURQnaZrm83kEgR+ElqEBAIQQAACM...
math_vqa
{ "ground_truth": "505", "style": "rule" }
{ "answer": "505", "id": "3eba0d83-43b2-42bf-bb11-1af2d6969cd2", "index": 1111, "question": "The Hundred Sons Return Chart is a square number table formed by a non-repeating arrangement of 1, 2, 3, ..., 100. It is a numerical brief history of Macau, for example: the central four numbers '19 99 12 20' indicate t...
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABTCAYAAACoGujtAAASjklEQVR4nO2deVhU193Hv7MwwLAzgeBERGACrXGBqBBTcUvf19Qlkqg1REmMoVVj1PdxafvEVMWVLFpbkzzJG5OiJdEkWpsgbomCKAFcg0HFKghhkXUYEGZgZpjv+4dlnlIFZuDODPHl8+e95/y+v3u/d+6ce+4554pIEv38pBE7OoF+ek+/iQ8A/SY+AEgdnYCQqNVqaDQalJaWQq1Wo76+Hnfu3IFEIoFCoYCnpyeUSiUefvhheHt7Qy6X...
math_vqa
{ "ground_truth": "6", "style": "rule" }
{ "answer": "6", "id": "22e4a2e2-4a10-45b8-aec4-6349306f5711", "index": 424, "question": "As shown in the figure, AB is tangent to circle O at point C, ∠A = ∠B, OA = 10, AB = 16, then the length of OC is", "source": "FanqingM/MMK12", "split": "train", "subject": "math" }
FanqingM/MMK12
[ { "content": "You are a helpful assistant answering a question about an image.\n\nAlways output exactly two XML-style sections and close every tag.\nStart with <think>, close it with </think>, then open <answer>, and close with </answer>.\nDo not write anything before <think> or after </answer>.\n\nIn <think>, ...
[ { "bytes": "iVBORw0KGgoAAAANSUhEUgAAAbEAAAEpCAIAAACSh4vIAAEAAElEQVR4nOz9d2xcSZogDn4R8Vx6OkmUFyVRlPfee1O2q6a7q82YncXO7WH3cPu72/lvHXDA4YAfFjgsdrA3OxjMdk/P7EybquoulZf33osSZSkvUYY2zbMR90dkBiNf5ksyKTpV8euGKvnyZdgvvvj8hzxGoSQwxsS/AIAQCnouvuLPOYiH/IP8TlkgOvJBnxscJoCKTwswxowxz/P4GiKEGGOUUkVTKaWUUsYYxhjlgK825BZKrDbLfSUv...
math_vqa
{ "ground_truth": "$$\\dfrac{\\sqrt{3}}{3}$$", "style": "rule" }
{ "answer": "$$\\dfrac{\\sqrt{3}}{3}$$", "id": "290ec0e4-36f2-4f85-9495-337a7c3138fe", "index": 3861, "question": "As shown in the figure, the inclination angle of line $$l_{2}$$ is $$\\alpha _{2}=120^{ \\circ }$$, and the inclination angle of line $$l_{1}$$ is $$\\alpha _{1}$$. Given that $$l_{1} \\perp l_{2}$...