id int64 0 399 | depth stringclasses 4
values | problem_version stringclasses 1
value | answer_type stringclasses 2
values | conversations listlengths 2 2 | prompt_pre stringclasses 4
values | image dict | prompt_post stringclasses 2
values | language stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
0 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nAB equals to 2. Please provide the length of DC in shape ABCD.\nChoices:\nA.2\nB.12/5\nC.10*√(3)/3\nD.2*√(2)/3"
},
{
"from": "gpt",
"value": "Considering ... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAjEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
1 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSide CD developing into a semi-circle beyond the rectangle. AD is equal to √(2). How much is the perimeter of ABCD?\nChoices:\nA.√(6)*(2 + π + 4*√(2))/6\nB.1 + π/2 + ... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJIA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
2 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD conforms a parallelogram. Angle ABC is 60°, CB measures 5. What is the total area of the shape ABCD?\nChoices:\nA.25*√(3)/2\nB.10*√(3)\nC.125*√(3)/8\nD.125*√(3)/... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAm0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
3 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSquare ABCD includes an inscribed circle. AB totals 81. What is the area of the entire inscribed circle?\nChoices:\nA.6561*π/5\nB.2187*√(3)*π/2\nC.6561*π/4\nD.6561*√(... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPfA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
4 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSide CD converts into a semi-circle. AD amounts to 2. What is the full area of the shape ABCD?\nChoices:\nA.π + 6\nB.π/2\nC.√(2)*(π + 8)/10\nD.π/2 + 4"
},
{
"... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALwA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
5 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle where the lengths of AB and BC are equal. Angle CBA is 120°. In the isosceles triangle ABC, what are the measures of angle BAC and angle ... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAnUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
6 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nAB is equal to 65. How long is DC in shape ABCD?\nChoices:\nA.195/4\nB.65*√(2)/6\nC.65*√(2)\nD.65"
},
{
"from": "gpt",
"value": "Since AB is 65 and ABCD i... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMwA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
7 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC takes on a sector shape. AB measures 100. Can you tell me the length of arc AC in sector ABC?\nChoices:\nA.15*π\nB.25*π\nC.75*√(2)*π\nD.50*π/3"
},
{
"from... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAvEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
8 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nAD amounts to 11. What is the side length DC in the shape ABCD?\nChoices:\nA.8*√(3)/5\nB.16/3\nC.4*√(3)/3\nD.8"
},
{
"from": "gpt",
"value": "Given that A... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALyA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
9 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD conforms a square. AB amounts to 3. Can you tell me the perimeter of ABCD?\nChoices:\nA.8*√(3)\nB.48\nC.12*√(2)/5\nD.12"
},
{
"from": "gpt",
"value":... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPfA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
10 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD takes the form of a parallelogram. Angle ABC is equal to 30°, CB equals to 60. What is the measurement of DC in the shape ABCD?\nChoices:\nA.108\nB.120*√(3)\nC.3... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoASQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
11 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nArc CD is in the form of a semi-circle. AD is 1/2. Could you specify the length of CD in shape ABCD?\nChoices:\nA.π/2\nB.5*π/8\nC.π/8\nD.√(3)*π/8"
},
{
"from"... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAjUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
12 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSquare ABCD encompasses an inscribed circle. AB is 55. How much is the perimeter of inscribed circle?\nChoices:\nA.275*√(2)*π/2\nB.55*π\nC.66*π\nD.55*√(2)*π/3"
},
... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPhA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
13 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nCDE is classified as an equilateral triangle. AD totals 78. Could you specify the length of DE in shape ABCED?\nChoices:\nA.405/4\nB.81\nC.81*√(2)\nD.81/4"
},
{
... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJKA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
14 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is a square. AB is 3. What is the area of the entire shape ABCD?\nChoices:\nA.54\nB.9\nC.15*√(3)\nD.9/4"
},
{
"from": "gpt",
"value": "The area of sq... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPfA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
15 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nCDE is an equilateral triangle. AB equals to 32. What's the area of the entire shape ABCED?\nChoices:\nA.-640*√(6) + 4720*√(2)\nB.1888 - 256*√(3)\nC.2360 - 320*√(3)\n... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJBA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
16 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSide CD is prolonged into an equilateral triangle within the rectangle. AD is 3/2. What is the measurement of the total area of ABCED?\nChoices:\nA.9/5 - 3*√(3)/10\nB... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKwA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
17 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD takes the form of a parallelogram. Angle ABC amounts to 45°, AD measures 19. In shape ABCD, what is the length of DC?\nChoices:\nA.13\nB.65*√(2)/2\nC.13/6\nD.247... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAhwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
18 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is a parallelogram. Angle ABC equals to 60°, CB equals to 4. Can you tell me the perimeter of ABCD?\nChoices:\nA.16\nB.40/3\nC.16*√(2)/5\nD.16*√(6)/3"
},
{
... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAnYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
19 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nAB = 7. What is the total length of the perimeter of ABCD?\nChoices:\nA.√(6)*(4*√(3) + 7)\nB.6*√(3) + 21/2\nC.8*√(6)/3 + 14*√(2)/3\nD.8*√(3) + 14"
},
{
"from"... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAOMA34DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
20 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD conforms a parallelogram. AB is 3. Please provide the length of DC in shape ABCD.\nChoices:\nA.√(3)/2\nB.√(3)\nC.3\nD.√(2)"
},
{
"from": "gpt",
"valu... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAWsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
21 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC is identified as a sector. AB is 13. How would you determine the perimeter of ABC?\nChoices:\nA.65*√(3)*(π + 8)/12\nB.13*π/4 + 26\nC.13*√(3)*(π + 8)/3\nD.13*√(3)*... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAucDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
22 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSquare ABCD has a circle inscribed. AB measures 11. Could you determine the area of the entire circle?\nChoices:\nA.363*π/10\nB.121*π/16\nC.121*π/4\nD.605*√(2)*π/8"
... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPhA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
23 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is geometrically a parallelogram. AB totals 81. Could you determine the area of the entire shape ABCD?\nChoices:\nA.1539*√(3)/2\nB.7695*√(2)/2\nC.7695*√(3)/2\nD.... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAqcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
24 | depth0 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSquare ABCD includes an inscribed circle. AB equals to 72. How much is the area of the entire circle?\nChoices:\nA.6480*π\nB.1296*π/5\nC.1296*√(3)*π/5\nD.1296*π"
},... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPeA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
25 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nCDE creates an equilateral triangle. AB = 80. In shape ABCED, what is the length of DE?"
},
{
"from": "gpt",
"value": "As AB is 80, the rectangle has equal opposite edges... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAK2A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
26 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nAngle ACB is equal to 45°. What's the area of the entire shape ABC?"
},
{
"from": "gpt",
"value": "ABC is right triangle. The area of the triangle is AB * BC / 2 = 648. A... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMcAy8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
27 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC forms a sector. Angle CBA measures 120°. Can you calculate the perimeter of ABC?"
},
{
"from": "gpt",
"value": "The central angle of the sector measures 120° which eq... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAucDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
28 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nCDE is shaped as an equilateral triangle. AB equals to 99. What is the overall perimeter of ABCED?"
},
{
"from": "gpt",
"value": "The rectangle ABCD has CD as the opposit... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPYA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
29 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide CD develops into a semi-circle inside the rectangle. AD totals √(3). How do you find the area of the entire shape ABCD?"
},
{
"from": "gpt",
"value": "Rectangle ABCD... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJmA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
30 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide CD continues into an equilateral triangle inside the rectangle. AB span 1. What is the total boundary length of ABCED?"
},
{
"from": "gpt",
"value": "The shape ABCD ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAK5A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
31 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nAB is equal to 30. What would the area of the entire shape ABC be?"
},
{
"from": "gpt",
"value": "ABC is a right-angled triangle. The area is calculated as AB * BC / 2 = ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPiA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
32 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSquare ABCD has a circle inscribed within it. AB = 56. How long is AD in shape ABCD?"
},
{
"from": "gpt",
"value": "AB equals 56. As ABCD is a square, all its sides are o... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAN8A4YDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
33 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nAB is equal to 2. What is the total perimeter measurement of ABC?"
},
{
"from": "gpt",
"value": "Since AB = 2 and angle ACB is 30°, the adjacent side BC is AB / tan(30°) ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJoA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
34 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD is a parallelogram. AB = 77. In the shape ABCD, what is the measurement of DC?"
},
{
"from": "gpt",
"value": "Given that AB is 77. Since ABCD is a parallelogram, opp... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAdkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
35 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSquare ABCD contains a circle that is inscribed. AB equals to 42. How much is the area of the entire circle?"
},
{
"from": "gpt",
"value": "Since the circle inscribed in ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAN8A4YDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
36 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide CD is extended to form an equilateral triangle inside the rectangle. AD is 65. What is the full perimeter of ABCED?"
},
{
"from": "gpt",
"value": "The shape ABCD is ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJpA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
37 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSquare ABCD has an inscribed circle. AB span 2. What is the measurement of the perimeter of inscribed circle?"
},
{
"from": "gpt",
"value": "The circle is inscribed withi... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPhA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
38 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nCB equals to 4. In the shape ABCD, what is the measurement of DC?"
},
{
"from": "gpt",
"value": "Since AB is 2 and ABCD is a rectangle, its opposite sides are equal. Henc... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIcA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
39 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nArc CD constitutes a semi-circle. AD is 42. How much is the perimeter of ABCD?"
},
{
"from": "gpt",
"value": "CD is the side opposite AB, so CD is also 50. The semicircle... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMsA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
40 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD conforms a square. AB amounts to 96. What is the area of the entire shape ABCD?"
},
{
"from": "gpt",
"value": "The square ABCD has an area of 96^2, which is 9216. An... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPhA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
41 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nCDE is shaped as an equilateral triangle. AB is 44. How long is EC in shape ABCED?"
},
{
"from": "gpt",
"value": "Given AB is 44, the rectangle has equal opposite sides, ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJ8A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
42 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nAngle ACB is equal to 30°. What is the overall perimeter of ABC?"
},
{
"from": "gpt",
"value": "Because AB = 27 and angle ACB is 30°, we have BC = AB / tan(30°) = 27 / (√... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJgA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
43 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD is geometrically a parallelogram. AB totals 52. What is the full area of the shape ABCD?"
},
{
"from": "gpt",
"value": "Parallelogram ABCD with an angle ABC of 60° h... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA0sDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
44 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD conforms a parallelogram. AB equals to 12. How long is DC in shape ABCD?"
},
{
"from": "gpt",
"value": "Since AB is 12, and ABCD is a parallelogram with equal opposi... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA0cDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
45 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide CD is extended into a semi-circular shape inside the rectangle. AD span 4. What is the area of the entire shape ABCD?"
},
{
"from": "gpt",
"value": "The area of rect... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIYA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
46 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSquare ABCD has an inner inscribed circle. AB equals to 2. What is the perimeter of inscribed circle?"
},
{
"from": "gpt",
"value": "Since the circle inscribed in square ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMTAx0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
47 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD is geometrically a parallelogram. AB totals 3. What is the total area of shape ABCD?"
},
{
"from": "gpt",
"value": "Parallelogram ABCD has a angle ABC of 45°, so are... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAiADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
48 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide CD extends and forms a semi-circle inside the rectangle. AD totals 38. What is the perimeter length of ABCD?"
},
{
"from": "gpt",
"value": "CD is opposite to AB, so ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKIA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
49 | depth0 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle, with AB equalling BC. Angle CBA = 120°. What are the measures of angle BAC and angle ACB in the isosceles triangle ABC?"
},
{
"from": "gpt",
... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAoADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
50 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSide CD growing into an equilateral triangle outside the rectangle. Square DEFG contains an inscribed circle. AB span 1. In the shape DEFG, what is the measurement of... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKyA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
51 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nACDE is geometrically a square. Angle ACB amounts to 30°. What is the length of DC in shape ACDE?\nChoices:\nA.24/5\nB.4\nC.12\nD.12*√(2)"
},
{
"from": "gpt",... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPiA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
52 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSide CD turns into an equilateral triangle. Square DEFG includes a circle inscribed within. AB amounts to 63. Can you tell me the length of FE in shape DEFG?\nChoices... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALEA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
53 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD conforms a square. EFG is shaped as an equilateral triangle. AB totals 54. What is the area size of the entire shape CBEGF?\nChoices:\nA.-243*√(6) + 1584*√(2)\nB... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAaoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
54 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC is identified as a sector. AB equals to 7. What is the area size of the entire shape CBDE?\nChoices:\nA.196*√(3)\nB.196*√(3)/3\nC.98\nD.98*√(2)"
},
{
"fro... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoApUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
55 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSide DE extending into an equilateral triangle beyond the rectangle. AB totals 60, Angle ACB is equal to 30°. What's the area of the entire shape ACDFE?\nChoices:\nA.... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAyEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
56 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nSide EF arcs into a semi-circle outside. AB amounts to 72. How can we determine the area of the entire shape DCEF?\nChoices:\nA.648*√(3)*(π + 7*√(2))/5\nB.648*√(2)*π ... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF2A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
57 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is identified as a parallelogram. Side EF projecting into an equilateral triangle beyond the rectangle. AB span 84. What is the overall area measurement of the s... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCANcA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
58 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nAB equals to 48, DB is equal to 35. Could you specify the length of ED in shape CBDE?\nChoices:\nA.8*√(3)\nB.16*√(6)\nC.48\nD.32"
},
{
"from": "gpt",
"val... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAmgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
59 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is a square. ADE is an isosceles triangle, with AD equalling DE. AB is equal to 96. How large are angle DAE and angle AED in the isosceles triangle ADE?\nChoices... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAj0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
60 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nDCE is an isosceles triangle where the lengths of DC and CE are equal. Angle ECD amounts to 120°. In shape DCE, how long is EC?\nChoices:\nA.36*√(3)/5\nB.90\nC.45\nD.... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKKA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
61 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC takes the form of a sector. Side DE is extended to form an equilateral triangle inside the rectangle. CE = 69. How do you find the area of the entire shape CBDFE?... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA3gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
62 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nEC amounts to 9*√(2). In the shape DCEF, what is the measurement of FE?\nChoices:\nA.12\nB.20*√(3)\nC.30*√(2)\nD.18*√(2)"
},
{
"from": "gpt",
"value": "Gi... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAG1A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
63 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nCDE defines an equilateral triangle. Side FG forms an inward semi-circle within the rectangle. AB equals to 13. What is the overall area of the shape ECFG?\nChoices:\... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJWA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
64 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is identified as a parallelogram. DCE is an isosceles triangle in which DC equals CE in length. Angle ECD = 120°. What is the area of the entire shape DCE?\nChoi... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAtwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
65 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle where the length of AB equals the length of BC. AB span 2. How can we determine the area of the entire shape CBDE?\nChoices:\nA.12/5\nB.4... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAmIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
66 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle in which AB equals BC in length. DEF is geometrically an equilateral triangle. AB = 1. How much is the area of the entire shape CBDFE?\nC... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA08DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
67 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD conforms a square. Square ADEF includes an inscribed circle. AB = 72. What is the overall perimeter of inscribed circle?\nChoices:\nA.72*π\nB.36*√(2)*π\nC.72*π/5... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAkEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
68 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nACDE conforms a square. Angle ACB totals 45°. In shape ACDE, what is the length of ED?\nChoices:\nA.455*√(2)/6\nB.91*√(2)\nC.8281/2\nD.546*√(2)"
},
{
"from": ... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPjA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
69 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle where the length of AB equals the length of BC. CBDE conforms a square. AB equals to 12. In the shape CBDE, what is the measurement of ED... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA00DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
70 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nACDE is geometrically a square. AB span 48. How long is the perimeter of ACDE?\nChoices:\nA.64\nB.32*√(6)\nC.128*√(3)\nD.96"
},
{
"from": "gpt",
"value": ... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPkA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
71 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is identified as a parallelogram. DCE takes the form of a sector. AB span 30. Can you calculate the area of the entire shape DCE?\nChoices:\nA.75*π\nB.125*√(3)*π... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAONA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
72 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nCDE is an equilateral triangle. EG span 8*√(2). What is the length of GF in shape ECFG?\nChoices:\nA.7\nB.21*√(2)/2\nC.35*√(3)/3\nD.21/2"
},
{
"from": "gpt",
... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAOLA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
73 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABC conforms a sector. CBD is an isosceles triangle, and the sides CB and BD are of equal length. AB equals to 100. Can you tell me the measures of angle BCD and angl... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA30DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
74 | depth1 | text_lite | multi_choice | [
{
"from": "human",
"value": "First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.\n<image>\nABCD is a parallelogram. DCEF forms a square. AB = 1. How do you calculate the area of the shape DCEF?\nChoices:\nA.2*√(3)/3\nB.5*√(2)/2\nC.1\nD.1/2"
},
{
"fr... | First perform reasoning, then select the answer from the choices in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA+UDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
75 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD is geometrically a square. ADEF conforms a square. AB measures 63. How much area does the shape ADEF cover?"
},
{
"from": "gpt",
"value": "AB is 63. Because ABCD is ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAikDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
76 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC takes the form of a sector. CBDE takes the form of a parallelogram. Angle CBD is 45°, CE is 84. Could you specify the length of ED in shape CBDE?"
},
{
"from": "gpt",
... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAK3A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
77 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD forms a square. Square CBEF encompasses an inscribed circle. AB totals 55. What is the overall area of the inscribed circle?"
},
{
"from": "gpt",
"value": "AB measur... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAh8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
78 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSquare CBDE encompasses an inscribed circle. Angle ACB measures 45°. In the shape CBDE, what is the measurement of ED?"
},
{
"from": "gpt",
"value": "Given that AB = 60 a... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
79 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide CD being an equilateral triangle. Side FG develops into a semi-circle. AB measures 96. Please provide the length of FG in shape DEFG."
},
{
"from": "gpt",
"value": "... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAOEA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
80 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide EF is extended into an equilateral triangle shape inside the rectangle. AB equals to 6. How can we calculate the perimeter of DCEGF?"
},
{
"from": "gpt",
"value": "G... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFsA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
81 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nAngle ACB = 45°, CE is 36. What is the total area of shape CBDE?"
},
{
"from": "gpt",
"value": "As AB = 65 and angle ACB = 45°, BC is calculated as AB / tan(45°) = 65 / 1... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAqUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
82 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nDCEF is geometrically a square. AB amounts to 2. What is the perimeter of DCEF?"
},
{
"from": "gpt",
"value": "Given that AB measures 2. Because ABCD is a rectangle, oppo... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHHA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
83 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD conforms a square. Square DCEF has a circle inscribed. AB amounts to 2. What is the measurement of EC in the shape DCEF?"
},
{
"from": "gpt",
"value": "AB is 2. Beca... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAI4A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
84 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nCBD is identified as a sector. AB = 1, Angle DBC is 90°. Can you tell me the length of arc CD in sector CBD?"
},
{
"from": "gpt",
"value": "With AB = 1 and an angle of 30... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAo4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
85 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC is geometrically a sector. CBDE takes the form of a parallelogram. AB equals to 72. What is the full area of the shape CBDE?"
},
{
"from": "gpt",
"value": "AB measure... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCANGA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
86 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nCBD is defined as a sector. Angle DBC amounts to 120°, AB = 98. What is the arc length CD in the sector CBD?"
},
{
"from": "gpt",
"value": "With AB = 98 and an angle of 3... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA5IDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
87 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSide EF is shaped into an equilateral triangle. AB is equal to 11. In shape DCEGF, what is the length of GE?"
},
{
"from": "gpt",
"value": "Given that AB measures 11. Bec... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHCA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
88 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle with AB having the same length as BC. AB totals 1. What is the measurement of the total area of CBD?"
},
{
"from": "gpt",
"value": "With AB b... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAdQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
89 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD is geometrically a parallelogram. EFG is in the shape of an equilateral triangle. DF is 17. What is the measurement of the perimeter of DCEGF?"
},
{
"from": "gpt",
"... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHRA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
90 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD forms a square. DCE conforms a sector. AB = 28. Can you tell me the area of the whole shape DCE?"
},
{
"from": "gpt",
"value": "AB = 28. Since ABCD is a square, all ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJ9A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
91 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC is in the form of a sector. CBD takes on a sector shape. Angle DBC totals 45°. What is the overall perimeter of CBD?"
},
{
"from": "gpt",
"value": "AB is 9. Because t... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAnkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
92 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nDEF shapes into an equilateral triangle. AE totals 73, AB totals 40. What is the perimeter of ACDFE?"
},
{
"from": "gpt",
"value": "Because AB = 40 and angle ACB is 60°, ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALNA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
93 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD conforms a parallelogram. DCEF conforms a square. AB equals to 1. What is the overall area of the shape DCEF?"
},
{
"from": "gpt",
"value": "Since ABCD is a parallel... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA+UDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
94 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle where the sides AB and BC are identical in length. CBD is an isosceles triangle, with CB equalling BD. AB amounts to 77. What is the total boundary lengt... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPjA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
95 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD forms a square. CBEF is a parallelogram. Angle CBE amounts to 30°, EB measures 1. In shape CBEF, how long is FE?"
},
{
"from": "gpt",
"value": "AB has the length 1. ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAM0A+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
96 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABCD conforms a parallelogram. DCEF is a square. AB equals to 13. What is the overall area of the shape DCEF?"
},
{
"from": "gpt",
"value": "As AB is 13, and ABCD is a pa... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoA+YDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
97 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nSquare CBDE has a circle inscribed within it. Angle ACB span 45°. What is the total surface area of the circle?"
},
{
"from": "gpt",
"value": "With AB = 10 and angle ACB ... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
98 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nACD is in the form of a sector. AB measures 84, Angle ACB equals to 60°. In sector ACD, how long is arc AD?"
},
{
"from": "gpt",
"value": "Given AB = 84 and the angle ACB... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMaA+gDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
99 | depth1 | text_lite | open_ended | [
{
"from": "human",
"value": "First perform reasoning, then provide the answer in the following format: Answer: xxx.\n<image>\nABC is an isosceles triangle where AB is the same length as BC. CBD is a sector. Angle DBC totals 90°. What is the length of DB in shape CBD?"
},
{
"from": "gpt",
"value"... | First perform reasoning, then provide the answer in the following format: Answer: xxx.
<image>
| {
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAPoAmQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAA... | Answer: | English |
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