Search is not available for this dataset
id stringlengths 36 36 | image stringlengths 224 11M | conversations listlengths 2 2 | system_choose stringclasses 3
values | model_response large_stringlengths 0 4.69k | system_1_reasoning large_stringlengths 0 867 | system_1_answer large_stringlengths 0 412 |
|---|---|---|---|---|---|---|
fab1c569-6e43-48b8-963d-fc68d88b7923 | iVBORw0KGgoAAAANSUhEUgAAAXwAAADjCAYAAACGoK/oAAAZGElEQVR4nO3db2gb6Z0H8O92F+rlrp54j6WXK5rYSdoXQbouW/JmR2fHd5BgmWTTVycZp/a+WTvrDZejuALFUAe8Bq3p4TbnRM6bxBdj6dWR3cUyCRybuNZSCJf+mSEvtknsjGhD2TbO5ApxwTT3Qp6JZEuWbGk0M3q+Hwhkx4r1eKXn65+e+c0zr7x48eIFiIio4X3N6QEQEVF9MPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATB... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Quadrilateral A B C D is a rectangle. m \\angle 2 = 40. Find m \\angle 1.\nChoices:\n(A) 40\n(B) 50\n(C) 90\n(D) 130"
},
{
"from": "assistant",
"... | 2 | <think_tag>This question involves spatial reasoning and knowledge of geometric properties. Since quadrilateral ABCD is a rectangle, we know its opposite angles are equal, and its adjacent angles sum up to 90 degrees. The angles provided (m∠1 and m∠2) are part of the diagonals of the rectangle, which means they form a l... | ||
b64aafe6-8b82-4e71-9c0d-f9b0c02f9dbc | iVBORw0KGgoAAAANSUhEUgAAAhkAAAEMCAYAAABp6aQ+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, m \\angle 3 = 43. Find the measure of \\angle 7.\nChoices:\n(A) 43\n(B) 53\n(C) 127\n(D) 137"
},
{
"from": "assistant",
"value": "... | 1 | <think_tag>The problem involves recognizing angle relationships in parallel lines cut by a transversal. Angles 3 and 7 are corresponding angles because the lines a, b, c, and d are cut by parallel transversals, indicating that their measures are equal. Thus, m∠7 = m∠3 = 43°. This question primarily involves identifying... | This question involves identifying that angles 3 and 7 are equal because they are corresponding angles on parallel lines, meaning angle 7 is also 43°. | A |
8c5aa8b2-5f9a-4f61-a898-d027a8a1fe3c | iVBORw0KGgoAAAANSUhEUgAAAg8AAADxCAYAAABMIlTiAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x so that m \\parallel n.\nChoices:\n(A) 7\n(B) 11\n(C) 15\n(D) 19"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figu... | 2 | <think_tag>To determine the value of x such that lines m and n are parallel, we need to use the property of corresponding angles. When lines are parallel, corresponding angles are equal.
Given angles are:
Angle RUS = (8x + 4)°
Angle VST = (9x - 11)°
For m || n, corresponding angles should be equal:
8x + 4 = 9x - 11
... | ||
7840e5f5-022a-46be-b0fd-9b688032dd54 | iVBORw0KGgoAAAANSUhEUgAAAVkAAADMCAYAAADZLtCfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRuaOlBwL0kg5LUihIQ7Zxf... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) \\frac { 5 } { 2 } \\sqrt { 2 }\n(B) 5\n(C) \\frac { 5 } { 2 } \\sqrt { 6 }\n(D) 10"
},
{
"from": "assistant",
"value": "<... | 2 | <think_tag>This problem involves identifying the correct value of \(x\) given a geometric diagram, where the problem resides in Euclidean geometry primarily focusing on triangles and symmetry. Initially, it requires understanding that the given shape is a rectangle with internal diagonal triangles. The presence of refe... | ||
8656a4ff-1fd0-47ed-9b36-b8131cc0de6f | iVBORw0KGgoAAAANSUhEUgAAAZsAAAEACAYAAABlOdt4AAA7NklEQVR4nO3deVhUdfvH8TcBCYgoICBCCAoo4ooh4q5hPtpiWrm2WGmlPfXTSlvMrMyeykzbXErL3HLJLbc0c1cCFFREElAWQVQEZJFBYZjfHywisgw4wzAz9+u6uq4RzhlujZnPnO9yHxOVSqVCCCGE0KL7dF2AEEIIwydhI4QQQuskbIQQQmidhI0QQgitk7ARQgihdRI2QghRwepVqwgODtZ1GQZFwkYIISqY9cFMrl65ousyDIqEjRBCVODm3orU1Mu6LsOgSNgI... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Polygon A B C D \\sim polygon A E F G, m \\angle A G F = 108, G F = 14, A D = 12, D G = 4.5, E F = 8, and A B = 26. Find B C.\nChoices:\n(A) 4.5\n(B) 12\n(C)... | 2 | <think_tag>This question requires a thorough understanding of geometry, specifically dealing with similar polygons and angle properties. We need to perform calculations to determine the length of BC, given the proportions derived from the similarity between the two polygons. First, identify the properties and known mea... | ||
76a25920-ca35-4c2a-b292-5a36875e331e | iVBORw0KGgoAAAANSUhEUgAAAcQAAAFbCAYAAABLb/6JAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRuaOlBwL0kg5LUihIQ7Zxf... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If m \\angle A F B = 8 x - 6 and m \\angle B F C = 14 x + 8, find the value of x so that \\angle A F C is a right angle.\nChoices:\n(A) 2\n(B) 3\n(C) 4\n(D) ... | 2 | <think_tag>To solve this question, we need to use System 2 thinking as it involves calculation and logical reasoning. The problem is a geometry problem involving angles and requires solving an algebraic equation. Defining \(\angle A F C\) as a right angle (\(90^\circ\)), we can set up the equation for the angles:
- m \... | ||
33234b3b-f962-4766-a2a4-6efc569dc6d1 | iVBORw0KGgoAAAANSUhEUgAAAXUAAAFsCAYAAAAzJCmbAAA/yklEQVR4nO3dfUBU550v8K/LWBhBFAyOyvAiIKIZIyigDSR4s/ElaaIJNsnqbUy8Jd1Ng7beXFNX202zt3rdeLNu1CTbhl4b08amWTGm3UZjbq40mCggoI6KiMirigjIiA7UIdw/xnPmDK8D83LOnPP9/NMhHcZHGb7znOf3O88zqqenpwdERKQKfyP3AIiIyHMY6kREKsJQJyJSEYY6EZGKMNSJiFSEoU5EpCIMdSIiFWGoExGpCEOdiEhFGOpERCrCUCciUhGGOhGR... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Circle A has diameters D F and P G. If P A = 7, find P G.\nChoices:\n(A) 7\n(B) 14\n(C) 28\n(D) 35"
},
{
"from": "assistant",
"value": "<think>\n... | 2 | <think_tag>To solve this question, we need to use System 2 thinking because it involves understanding geometric properties and reasoning through the relationships between different parts of the circle. Specifically, we know that if PA = 7 and PA is a radius, then PG being a diameter implies PG = 2 * PA = 14. Thus, calc... | ||
abe1c531-65fd-4453-a3d3-bfbfd398cf5f | "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFUCAYAAABldzZDAABfyUlEQVR4nO39V3Bb57rue/4HIkEEAiAJAoyicg6MkuUcp3POlmT(...TRUNCATED) | [{"from":"human","value":"<image>\nHint: Please answer the question and provide the correct option l(...TRUNCATED) | 2 | "<think_tag>The problem requires us to determine the measure of angle \\(v\\) in the isosceles trian(...TRUNCATED) | ||
1bbac533-1035-4f2c-8069-1ef4c6b2cbc7 | "iVBORw0KGgoAAAANSUhEUgAAAQoAAADbCAYAAACV3t/3AAAU3ElEQVR4nO3de1TUdd4H8DePg4AQJGpsy6ijjKiFhS1kG97a8kL(...TRUNCATED) | [{"from":"human","value":"<image>\nHint: Please answer the question and provide the correct option l(...TRUNCATED) | 2 | "<think_tag>This question involves a right-angled triangle with sides given and asks for the length (...TRUNCATED) | ||
033b2f16-2d91-448c-886f-b77a97ef8b90 | "iVBORw0KGgoAAAANSUhEUgAAAXoAAAESCAYAAADzBx6nAABHWklEQVR4nO2deViU5f7GPyOggriRSCoiAioqmKhoiaaVe+6e7Og(...TRUNCATED) | [{"from":"human","value":"<image>\nHint: Please answer the question and provide the correct option l(...TRUNCATED) | 2 | "<think_tag>To identify the value of \\( w \\) in the parallelogram \\( NQRM \\), some key geometric(...TRUNCATED) |
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