messages listlengths 1 1 | ground_truth stringclasses 9 values | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is uncolored, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is uncolored, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is blue, vertex 11 is blue.... | 3 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is uncolored, vertex 3 is red, vertex 4 is blue, vertex 5 is blue, vertex 6 is blue, vertex 7 is uncolored, vertex 8 is blue, vertex 9 is red, vertex 10 is blue, vertex ... | 6 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is uncolored, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is uncolored, vertex 10 is blue, ve... | 8 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is blue, vertex 11 is red, ve... | 3 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is uncolored, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is uncolored, vertex 7 is uncolored, vertex 8 is red, vertex 9 is red, vertex 10 is red, vertex... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 11 is red.... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is uncolored, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is uncolored, vertex 10 is blue, vertex ... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vertex 11 is blue, v... | 5 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vertex 11 is blue, v... | 3 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is blue, vertex 11 is blue. Wha... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is red. ... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex 11 is red, v... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue,... | 3 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 11 is red. Wh... | 5 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vertex 11 is blue,... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is uncolored, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is uncolored, vertex 8 is red, vertex 9 is red, vertex 10 is red, vertex 11 ... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue, ve... | 5 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is uncolored, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is uncolored, vertex 6 is uncolored, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, v... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue, v... | 5 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is uncolored, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is uncolored, vertex 11 ... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue... | 3 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is red, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is uncolored, vertex 8 is uncolored, vertex 9 is red, vertex 10 is blue, vert... | 2 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vertex 11 is red. W... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 11 is blue,... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is uncolored, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is uncolored, vertex... | 8 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is uncolored, vertex 5 is uncolored, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is uncolored, vertex 10 is blue, ver... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is blue. W... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is uncolored, vertex 3 is uncolored, vertex 4 is blue, vertex 5 is red, vertex 6 is red, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is uncolored, ver... | 1 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is red, vertex 11 is red, ve... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is uncolored, vertex 7 is red, vertex 8 is uncolored, vertex 9 is uncolored, vertex 10 is blue, ver... | 2 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is blue, vertex 11 is blue. Wh... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is red. The... | 1 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is red, vertex 11 is blue. T... | 3 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is red, vertex 2 is red, vertex 3 is uncolored, vertex 4 is red, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 i... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is red. The... | 3 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is red, vertex 2 is red, vertex 3 is blue, vertex 4 is uncolored, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 ... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is uncolored, vertex 2 is blue, vertex 3 is red, vertex 4 is uncolored, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 1... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is blue, ... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is blue, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 11 is red,... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is red, vertex 8 is red, vertex 9 is uncolored, vertex 10 is uncolored, vertex 1... | 1 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is red, vertex 11 is blue. Wha... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is red, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is blue, ... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is red, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is red, ve... | 5 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is red. ... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 11 is red, v... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue.... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is blue. ... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is uncolored, vertex 2 is uncolored, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is red, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is red, vert... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue, ve... | 5 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 11 is red. W... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is uncolored, vertex 4 is blue, vertex 5 is blue, vertex 6 is blue, vertex 7 is uncolored, vertex 8 is red, vertex 9 is red, vertex 10 is uncolored, ve... | 2 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is red, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is blue, vertex 11 is blue. T... | 2 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is blue, ... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is uncolored, vertex 3 is uncolored, vertex 4 is uncolored, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is blue, vertex... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is uncolored, vertex 6 is blue, vertex 7 is red, vertex 8 is uncolored, vertex 9 is uncolored, vertex 10 is blue, ... | 8 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is red, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is blue, vertex 11 is blue, v... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is blue, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is blue, vertex 11 is blue, ... | 5 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is uncolored, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is uncolored, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is uncolored, vert... | 1 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is uncolored, vertex 2 is red, vertex 3 is uncolored, vertex 4 is blue, vertex 5 is uncolored, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vert... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is blue, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is red, ve... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is uncolored, vertex 7 is uncolored, vertex 8 is red, vertex 9 is red, vertex 10 is uncolored, vertex... | 7 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is red, vertex 11 is red. What... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is uncolored, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is ... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is red. Wh... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex 11 is red. Wha... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is uncolored, vertex 3 is blue, vertex 4 is blue, vertex 5 is uncolored, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is uncolored, vertex 10 is blue,... | 8 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is uncolored, vertex 2 is red, vertex 3 is blue, vertex 4 is uncolored, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, v... | 8 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is blue, vertex 11 is blue.... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is blue, vertex 2 is blue, vertex 3 is uncolored, vertex 4 is red, vertex 5 is uncolored, vertex 6 is red, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vert... | 1 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is uncolored, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is uncolored, vertex 1... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is uncolored, vertex 5 is blue, vertex 6 is red, vertex 7 is blue, vertex 8 is uncolored, vertex 9 is red, vertex 10 is uncolored, ver... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is uncolored, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is uncolored, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is blue, ver... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vertex 11 is red. W... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vertex 11 is blue, ve... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is blue. ... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is red. What ... | 2 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is uncolored, vertex 2 is red, vertex 3 is blue, vertex 4 is uncolored, vertex 5 is red, vertex 6 is red, vertex 7 is uncolored, vertex 8 is red, vertex 9 is blue, vertex 10 is blue, vert... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is red, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is red, vertex 11 is blue, ve... | 3 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is uncolored, vertex 4 is uncolored, vertex 5 is blue, vertex 6 is red, vertex 7 is red, vertex 8 is uncolored, vertex 9 is red, vertex 10 is blue, ver... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is blue, vertex 11 is red. Th... | 1 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is uncolored, vertex 2 is blue, vertex 3 is blue, vertex 4 is uncolored, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is blue, vertex 9 is red, vertex 10 is uncolored, v... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is uncolored, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is uncolored, v... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is uncolored, vertex 3 is red, vertex 4 is red, vertex 5 is uncolored, vertex 6 is blue, vertex 7 is red, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vertex 11 ... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is blue, vertex 4 is blue, vertex 5 is blue, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is red, vertex 11 is red.... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is blue, vertex 4 is uncolored, vertex 5 is red, vertex 6 is red, vertex 7 is uncolored, vertex 8 is uncolored, vertex 9 is red, vertex 10 is blue, ver... | 2 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is red, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is red, vertex 6 is red, vertex 7 is blue, vertex 8 is uncolored, vertex 9 is blue, vertex 10 is red, vertex 11 ... | 4 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is uncolored, vertex 1 is uncolored, vertex 2 is red, vertex 3 is red, vertex 4 is red, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is red, vertex 7 is red, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex 11 is red. ... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is red, vertex 7 is blue, vertex 8 is red, vertex 9 is blue, vertex 10 is red, vertex 11 is blue, ... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is uncolored, vertex 2 is red, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is uncolored, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex ... | 2 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is red, vertex 5 is blue, vertex 6 is red, vertex 7 is blue, vertex 8 is uncolored, vertex 9 is uncolored, vertex 10 is red, vertex 1... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is red, vertex 2 is blue, vertex 3 is uncolored, vertex 4 is blue, vertex 5 is red, vertex 6 is uncolored, vertex 7 is blue, vertex 8 is red, vertex 9 is uncolored, vertex 10 is red, ver... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is blue, vertex 3 is uncolored, vertex 4 is uncolored, vertex 5 is blue, vertex 6 is red, vertex 7 is blue, vertex 8 is blue, vertex 9 is blue, vertex 10 is blue, vertex... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is blue, vertex 2 is red, vertex 3 is uncolored, vertex 4 is uncolored, vertex 5 is blue, vertex 6 is uncolored, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is blue, vert... | 5 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is blue, vertex 3 is red, vertex 4 is uncolored, vertex 5 is blue, vertex 6 is blue, vertex 7 is uncolored, vertex 8 is blue, vertex 9 is red, vertex 10 is uncolored, v... | 0 | MATH |
[
{
"content": "A 12-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is blue, vertex 1 is blue, vertex 2 is uncolored, vertex 3 is blue, vertex 4 is red, vertex 5 is blue, vertex 6 is uncolored, vertex 7 is red, vertex 8 is red, vertex 9 is red, vertex 10 is uncolored, ver... | 0 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is blue, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is red, vertex 8 is blue, vertex 9 is red, vertex 10 is red, vertex 11 is blue, ve... | 4 | MATH |
[
{
"content": "A 13-gon is colored so that in clockwise order, the vertices are colored as follows: vertex 0 is red, vertex 1 is red, vertex 2 is red, vertex 3 is red, vertex 4 is blue, vertex 5 is red, vertex 6 is blue, vertex 7 is blue, vertex 8 is red, vertex 9 is red, vertex 10 is blue, vertex 11 is blue, ve... | 3 | MATH |
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