messages listlengths 1 1 | ground_truth stringclasses 10 values | dataset stringclasses 1 value |
|---|---|---|
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{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 8, from vertex 6 to vertex 2, from vertex 3 to vertex 8, from vertex 1 to vertex 4, from vertex 5 to vertex 8, from vertex 6 to vertex 1, from vertex 8 to vertex 4, fro... | 4 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6, from vertex 1 to vertex 3, from vertex 4 to vertex 8, from vertex 2 to vertex 7, from vertex 2 to vertex 5, from vertex 7 to vertex 3, and from vertex 5 to vertex 3.... | 2 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 11, from vertex 12 to vertex 14, from vertex 13 to vertex 4, from vertex 12 to vertex 1, from vertex 5 to vertex 7, from vertex 1 to vertex 11, from vertex 8 to verte... | 5 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 8, from vertex 2 to vertex 6, from vertex 11 to vertex 5, from vertex 12 to vertex 14, from vertex 9 to vertex 4, from vertex 4 to vertex 12, from vertex 7 to vertex ... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 8, from vertex 4 to vertex 6, from vertex 7 to vertex 9, from vertex 4 to vertex 1, from vertex 5 to vertex 9, from vertex 7 to vertex 4, and from vertex 8 to vertex ... | 4 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 2 to vertex 5, from vertex 1 to vertex 4, from vertex 5 to vertex 3, from vertex 4 to vertex 6, and from vertex 3 to vertex 6. How many distinct pairs of... | 3 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4, from vertex 3 to vertex 6, from vertex 2 to vertex 4, from vertex 3 to vertex 1, from vertex 6 to vertex 2, from vertex 1 to vertex 4, and from vertex 5 to vertex 2.... | 4 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 14 to vertex 8, from vertex 14 to vertex 9, from vertex 2 to vertex 10, from vertex 1 to vertex 13, from vertex 12 to vertex 8, from vertex 6 to vertex 9, from vertex 6 to vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 1, from vertex 10 to vertex 13, from vertex 12 to vertex 10, from vertex 6 to vertex 8, from vertex 2 to vertex 7, from vertex 6 to vertex 1, from vertex 14 to vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 8, from vertex 3 to vertex 6, from vertex 5 to vertex 8, from vertex 7 to vertex 1, from vertex 1 to vertex 3, from vertex 6 to vertex 1, and from vertex 3 to vertex 5.... | 3 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 7, from vertex 3 to vertex 5, from vertex 1 to vertex 6, from vertex 6 to vertex 8, from vertex 1 to vertex 3, and from vertex 3 to vertex 8. How many distinct pairs of... | 3 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6, from vertex 4 to vertex 2, from vertex 4 to vertex 1, from vertex 5 to vertex 3, from vertex 4 to vertex 6, from vertex 2 to vertex 5, and from vertex 2 to vertex 6.... | 4 | MATH |
[
{
"content": "Suppose you have a 13-gon, with vertices numbered 1 through 13 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 2, from vertex 8 to vertex 5, from vertex 12 to vertex 1, from vertex 3 to vertex 6, from vertex 9 to vertex 4, from vertex 7 to vertex 3, from vertex 1 to vertex 5,... | 0 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 5, from vertex 7 to vertex 5, from vertex 6 to vertex 1, from vertex 2 to vertex 6, from vertex 1 to vertex 7, from vertex 3 to vertex 1, and from vertex 7 to vertex 3.... | 6 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 4, from vertex 1 to vertex 8, from vertex 9 to vertex 2, from vertex 6 to vertex 4, from vertex 1 to vertex 4, from vertex 2 to vertex 4, from vertex 6 to vertex 2, ... | 3 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 2, from vertex 3 to vertex 1, from vertex 3 to vertex 6, from vertex 4 to vertex 9, from vertex 4 to vertex 10, from vertex 7 to vertex 5, from vertex 2 to vertex 4, ... | 5 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 5, from vertex 9 to vertex 13, from vertex 10 to vertex 14, from vertex 4 to vertex 12, from vertex 6 to vertex 8, from vertex 14 to vertex 3, from vertex 2 to vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 10, from vertex 9 to vertex 3, from vertex 12 to vertex 5, from vertex 5 to vertex 3, from vertex 8 to vertex 3, from vertex 5 to vertex 14, from vertex 14 to vertex ... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7, from vertex 3 to vertex 10, from vertex 7 to vertex 1, from vertex 2 to vertex 5, from vertex 10 to vertex 6, and from vertex 5 to vertex 9. How many distinct pair... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 10, from vertex 6 to vertex 3, from vertex 2 to vertex 5, from vertex 9 to vertex 3, from vertex 10 to vertex 5, and from vertex 10 to vertex 7. How many distinct pai... | 2 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 13, from vertex 11 to vertex 2, from vertex 12 to vertex 7, from vertex 6 to vertex 10, from vertex 5 to vertex 11, from vertex 9 to vertex 2, and from vertex 1 to ve... | 2 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 13, from vertex 6 to vertex 13, from vertex 12 to vertex 7, from vertex 10 to vertex 5, from vertex 9 to vertex 13, from vertex 9 to vertex 7, and from vertex 11 to v... | 1 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 6, from vertex 9 to vertex 4, from vertex 11 to vertex 7, from vertex 12 to vertex 1, from vertex 6 to vertex 2, from vertex 4 to vertex 1, from vertex 8 to vertex 4... | 1 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 4, from vertex 6 to vertex 4, from vertex 1 to vertex 6, from vertex 2 to vertex 9, from vertex 8 to vertex 6, from vertex 10 to vertex 4, from vertex 2 to vertex 8, ... | 0 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 3 to vertex 5, from vertex 6 to vertex 3, from vertex 3 to vertex 1, from vertex 5 to vertex 1, from vertex 4 to vertex 6, from vertex 1 to vertex 4, and... | 5 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 7, from vertex 4 to vertex 1, from vertex 2 to vertex 9, from vertex 9 to vertex 4, from vertex 5 to vertex 10, from vertex 4 to vertex 2, from vertex 5 to vertex 3, ... | 5 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 9, from vertex 4 to vertex 1, from vertex 4 to vertex 6, from vertex 10 to vertex 3, from vertex 7 to vertex 3, from vertex 5 to vertex 1, from vertex 4 to vertex 7, ... | 6 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 8, from vertex 4 to vertex 10, from vertex 8 to vertex 1, from vertex 2 to vertex 7, from vertex 9 to vertex 3, from vertex 3 to vertex 6, and from vertex 6 to vertex... | 6 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 8, from vertex 3 to vertex 8, from vertex 6 to vertex 8, from vertex 7 to vertex 4, from vertex 4 to vertex 2, from vertex 2 to vertex 5, from vertex 7 to vertex 1, fro... | 4 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 5 to vertex 2, from vertex 6 to vertex 2, from vertex 3 to vertex 6, from vertex 5 to vertex 1, from vertex 1 to vertex 3, and from vertex 1 to vertex 4.... | 4 | MATH |
[
{
"content": "Suppose you have a 15-gon, with vertices numbered 1 through 15 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 11, from vertex 13 to vertex 8, from vertex 11 to vertex 2, from vertex 14 to vertex 7, from vertex 8 to vertex 11, from vertex 6 to vertex 10, from vertex 10 to vert... | 0 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 9, from vertex 4 to vertex 1, from vertex 1 to vertex 5, from vertex 7 to vertex 1, from vertex 5 to vertex 3, from vertex 10 to vertex 7, from vertex 1 to vertex 3, ... | 2 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 3, from vertex 1 to vertex 4, from vertex 2 to vertex 5, from vertex 5 to vertex 1, from vertex 3 to vertex 1, from vertex 6 to vertex 2, from vertex 6 to vertex 4, fro... | 6 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 1, from vertex 1 to vertex 4, from vertex 8 to vertex 2, from vertex 4 to vertex 2, from vertex 10 to vertex 3, from vertex 10 to vertex 5, and from vertex 3 to verte... | 3 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 5, from vertex 3 to vertex 6, from vertex 7 to vertex 4, from vertex 2 to vertex 5, from vertex 8 to vertex 2, from vertex 1 to vertex 7, from vertex 2 to vertex 7, fro... | 5 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 2, from vertex 2 to vertex 5, from vertex 6 to vertex 4, from vertex 3 to vertex 1, from vertex 6 to vertex 2, from vertex 5 to vertex 3, from vertex 6 to vertex 3, and... | 4 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 2, from vertex 2 to vertex 7, from vertex 5 to vertex 9, from vertex 9 to vertex 6, from vertex 2 to vertex 6, from vertex 8 to vertex 4, from vertex 5 to vertex 10, ... | 2 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 3, from vertex 2 to vertex 6, from vertex 6 to vertex 4, from vertex 6 to vertex 3, from vertex 1 to vertex 5, from vertex 2 to vertex 5, and from vertex 4 to vertex 2.... | 3 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 4, from vertex 5 to vertex 1, from vertex 4 to vertex 7, from vertex 2 to vertex 7, from vertex 6 to vertex 8, and from vertex 3 to vertex 6. How many distinct pairs of... | 0 | MATH |
[
{
"content": "Suppose you have a 13-gon, with vertices numbered 1 through 13 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 12, from vertex 2 to vertex 13, from vertex 12 to vertex 7, from vertex 9 to vertex 13, from vertex 3 to vertex 10, from vertex 12 to vertex 6, from vertex 9 to verte... | 0 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 6, from vertex 7 to vertex 2, from vertex 8 to vertex 3, from vertex 5 to vertex 1, from vertex 3 to vertex 5, from vertex 6 to vertex 1, and from vertex 2 to vertex 6.... | 1 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 9, from vertex 6 to vertex 4, from vertex 4 to vertex 2, from vertex 7 to vertex 1, from vertex 7 to vertex 10, and from vertex 7 to vertex 4. How many distinct pairs... | 1 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 4, from vertex 3 to vertex 1, from vertex 8 to vertex 1, from vertex 8 to vertex 3, from vertex 7 to vertex 1, from vertex 9 to vertex 4, from vertex 11 to vertex 4, ... | 3 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 10 to vertex 2, from vertex 4 to vertex 9, from vertex 6 to vertex 9, from vertex 9 to vertex 1, and from vertex 1 to vertex 6. How many distinct pairs... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 8, from vertex 12 to vertex 7, from vertex 12 to vertex 5, from vertex 10 to vertex 3, from vertex 4 to vertex 11, and from vertex 11 to vertex 8. How many distinct p... | 3 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 2 to vertex 6, from vertex 3 to vertex 6, from vertex 5 to vertex 3, from vertex 1 to vertex 4, from vertex 6 to vertex 4, from vertex 2 to vertex 4, fro... | 6 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 8, from vertex 3 to vertex 7, from vertex 1 to vertex 6, from vertex 7 to vertex 1, from vertex 5 to vertex 2, from vertex 7 to vertex 5, from vertex 5 to vertex 3, and... | 4 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4, from vertex 1 to vertex 6, from vertex 6 to vertex 8, from vertex 3 to vertex 10, from vertex 3 to vertex 9, from vertex 7 to vertex 10, from vertex 2 to vertex 4,... | 3 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 8, from vertex 6 to vertex 8, from vertex 8 to vertex 3, from vertex 4 to vertex 2, from vertex 4 to vertex 9, and from vertex 2 to vertex 9. How many distinct pairs... | 3 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 2, from vertex 10 to vertex 8, from vertex 12 to vertex 6, from vertex 12 to vertex 14, from vertex 2 to vertex 14, and from vertex 6 to vertex 2. How many distinct ... | 0 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 4, from vertex 11 to vertex 3, from vertex 10 to vertex 5, from vertex 9 to vertex 7, from vertex 4 to vertex 1, from vertex 1 to vertex 7, from vertex 12 to vertex 7... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 9, from vertex 6 to vertex 8, from vertex 2 to vertex 11, from vertex 9 to vertex 3, from vertex 5 to vertex 3, from vertex 12 to vertex 2, and from vertex 12 to vert... | 3 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 5, from vertex 7 to vertex 3, from vertex 5 to vertex 1, from vertex 2 to vertex 4, from vertex 1 to vertex 4, from vertex 1 to vertex 6, from vertex 2 to vertex 7, fro... | 0 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 8, from vertex 14 to vertex 12, from vertex 8 to vertex 2, from vertex 13 to vertex 6, from vertex 1 to vertex 3, from vertex 7 to vertex 13, from vertex 9 to vertex... | 3 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 5, from vertex 8 to vertex 1, from vertex 5 to vertex 10, from vertex 10 to vertex 7, from vertex 2 to vertex 4, from vertex 3 to vertex 9, from vertex 6 to vertex 1,... | 4 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 10, from vertex 12 to vertex 7, from vertex 4 to vertex 9, from vertex 9 to vertex 12, from vertex 8 to vertex 10, and from vertex 2 to vertex 12. How many distinct p... | 2 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 4 to vertex 1, from vertex 3 to vertex 7, from vertex 4 to vertex 8, from vertex 2 to vertex 7, from vertex 5 to vertex 8, and from vertex 7 to vertex 1.... | 4 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 5, from vertex 5 to vertex 2, from vertex 6 to vertex 2, from vertex 3 to vertex 1, from vertex 2 to vertex 4, and from vertex 3 to vertex 6. How many distinct pairs of... | 3 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 11, from vertex 3 to vertex 12, from vertex 11 to vertex 4, from vertex 4 to vertex 13, from vertex 8 to vertex 11, and from vertex 11 to vertex 3. How many distinct ... | 0 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 4, from vertex 7 to vertex 10, from vertex 5 to vertex 7, from vertex 7 to vertex 2, from vertex 3 to vertex 10, from vertex 8 to vertex 11, from vertex 3 to vertex 9... | 2 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 5 to vertex 2, from vertex 6 to vertex 2, from vertex 6 to vertex 3, from vertex 8 to vertex 5, from vertex 8 to vertex 6, from vertex 7 to vertex 4, and... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2, from vertex 9 to vertex 5, from vertex 5 to vertex 8, from vertex 12 to vertex 2, from vertex 5 to vertex 10, and from vertex 3 to vertex 12. How many distinct pai... | 2 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 4, from vertex 8 to vertex 6, from vertex 7 to vertex 1, from vertex 4 to vertex 7, from vertex 5 to vertex 3, and from vertex 6 to vertex 3. How many distinct pairs of... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 8, from vertex 1 to vertex 3, from vertex 3 to vertex 5, from vertex 10 to vertex 3, from vertex 2 to vertex 5, from vertex 8 to vertex 6, from vertex 5 to vertex 9, ... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 7, from vertex 12 to vertex 7, from vertex 9 to vertex 6, from vertex 10 to vertex 5, from vertex 3 to vertex 8, from vertex 5 to vertex 12, from vertex 9 to vertex 7... | 3 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6, from vertex 2 to vertex 4, from vertex 1 to vertex 3, from vertex 6 to vertex 4, from vertex 3 to vertex 5, from vertex 5 to vertex 8, from vertex 7 to vertex 4, and... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 1, from vertex 10 to vertex 2, from vertex 6 to vertex 4, from vertex 6 to vertex 8, from vertex 11 to vertex 7, from vertex 7 to vertex 12, and from vertex 2 to ver... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 6, from vertex 2 to vertex 4, from vertex 3 to vertex 1, from vertex 1 to vertex 7, from vertex 8 to vertex 1, from vertex 2 to vertex 5, and from vertex 5 to vertex... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 6, from vertex 2 to vertex 4, from vertex 3 to vertex 1, from vertex 1 to vertex 7, from vertex 8 to vertex 1, from vertex 2 to vertex 5, from vertex 5 to vertex 7, ... | 4 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 6, from vertex 9 to vertex 2, from vertex 1 to vertex 8, from vertex 6 to vertex 9, from vertex 9 to vertex 7, from vertex 8 to vertex 4, from vertex 10 to vertex 5, ... | 3 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 14 to vertex 11, from vertex 11 to vertex 3, from vertex 3 to vertex 10, from vertex 8 to vertex 2, from vertex 3 to vertex 8, from vertex 8 to vertex 4, and from vertex 5 to ver... | 1 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 4, from vertex 6 to vertex 2, from vertex 7 to vertex 4, from vertex 3 to vertex 8, from vertex 4 to vertex 1, and from vertex 8 to vertex 2. How many distinct pairs of... | 1 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 8, from vertex 4 to vertex 9, from vertex 4 to vertex 2, from vertex 6 to vertex 4, from vertex 5 to vertex 10, from vertex 3 to vertex 9, from vertex 1 to vertex 4, ... | 5 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 4 to vertex 1, from vertex 6 to vertex 2, from vertex 3 to vertex 5, from vertex 2 to vertex 4, and from vertex 1 to vertex 5. How many distinct pairs of... | 2 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 14 to vertex 6, from vertex 2 to vertex 7, from vertex 11 to vertex 9, from vertex 10 to vertex 13, from vertex 13 to vertex 3, and from vertex 9 to vertex 14. How many distinct ... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 11, from vertex 2 to vertex 11, from vertex 8 to vertex 12, from vertex 9 to vertex 5, from vertex 2 to vertex 6, and from vertex 11 to vertex 5. How many distinct pa... | 2 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 6, from vertex 5 to vertex 9, from vertex 10 to vertex 4, from vertex 7 to vertex 2, from vertex 4 to vertex 7, from vertex 2 to vertex 8, and from vertex 1 to vertex... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 5, from vertex 1 to vertex 4, from vertex 4 to vertex 6, from vertex 7 to vertex 1, from vertex 10 to vertex 1, from vertex 3 to vertex 11, from vertex 4 to vertex 9... | 4 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 3 to vertex 1, from vertex 1 to vertex 5, from vertex 3 to vertex 6, from vertex 2 to vertex 6, from vertex 4 to vertex 6, and from vertex 2 to vertex 5.... | 4 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 12, from vertex 3 to vertex 11, from vertex 2 to vertex 6, from vertex 9 to vertex 7, from vertex 8 to vertex 1, from vertex 10 to vertex 12, from vertex 11 to vertex... | 8 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 2, from vertex 5 to vertex 2, from vertex 6 to vertex 2, from vertex 3 to vertex 6, from vertex 1 to vertex 5, from vertex 5 to vertex 3, from vertex 6 to vertex 4, fro... | 6 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 10, from vertex 1 to vertex 4, from vertex 9 to vertex 6, from vertex 14 to vertex 10, from vertex 1 to vertex 9, from vertex 4 to vertex 13, from vertex 6 to vertex... | 4 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 2, from vertex 5 to vertex 7, from vertex 3 to vertex 7, from vertex 8 to vertex 2, from vertex 5 to vertex 8, from vertex 11 to vertex 2, and from vertex 11 to verte... | 1 | MATH |
[
{
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 2 to vertex 7, from vertex 3 to vertex 6, from vertex 1 to vertex 5, from vertex 2 to vertex 5, and from vertex 6 to vertex 1. How many distinct pairs of... | 0 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 2, from vertex 5 to vertex 10, from vertex 5 to vertex 12, from vertex 8 to vertex 1, from vertex 2 to vertex 8, from vertex 3 to vertex 12, and from vertex 10 to ve... | 2 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2, from vertex 5 to vertex 3, from vertex 3 to vertex 1, from vertex 3 to vertex 6, from vertex 1 to vertex 5, from vertex 2 to vertex 5, and from vertex 4 to vertex 1.... | 4 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6, from vertex 3 to vertex 5, from vertex 4 to vertex 2, from vertex 2 to vertex 6, from vertex 5 to vertex 1, from vertex 2 to vertex 5, from vertex 1 to vertex 3, fro... | 6 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 5, from vertex 2 to vertex 5, from vertex 8 to vertex 6, from vertex 5 to vertex 1, from vertex 6 to vertex 3, from vertex 6 to vertex 4, and from vertex 2 to vertex 4.... | 3 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 8, from vertex 10 to vertex 3, from vertex 1 to vertex 10, from vertex 12 to vertex 4, from vertex 4 to vertex 7, from vertex 6 to vertex 2, from vertex 2 to vertex 4... | 2 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 12, from vertex 9 to vertex 1, from vertex 6 to vertex 3, from vertex 9 to vertex 11, from vertex 1 to vertex 4, from vertex 12 to vertex 6, and from vertex 10 to ver... | 1 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 3, from vertex 5 to vertex 2, from vertex 7 to vertex 10, from vertex 13 to vertex 3, from vertex 11 to vertex 7, from vertex 11 to vertex 13, from vertex 14 to vert... | 2 | MATH |
[
{
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 3, from vertex 2 to vertex 8, from vertex 4 to vertex 6, from vertex 3 to vertex 5, from vertex 5 to vertex 2, from vertex 1 to vertex 5, and from vertex 7 to vertex 4.... | 3 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 3, from vertex 7 to vertex 10, from vertex 6 to vertex 3, from vertex 4 to vertex 6, from vertex 10 to vertex 8, from vertex 2 to vertex 9, from vertex 4 to vertex 1,... | 2 | MATH |
[
{
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 3 to vertex 6, from vertex 5 to vertex 2, from vertex 5 to vertex 1, from vertex 3 to vertex 1, from vertex 5 to vertex 3, from vertex 1 to vertex 4, fro... | 6 | MATH |
[
{
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 8, from vertex 2 to vertex 6, from vertex 7 to vertex 9, from vertex 5 to vertex 2, from vertex 8 to vertex 1, from vertex 2 to vertex 10, from vertex 2 to vertex 9,... | 3 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 13 to vertex 3, from vertex 11 to vertex 14, from vertex 13 to vertex 1, from vertex 7 to vertex 3, from vertex 9 to vertex 14, from vertex 9 to vertex 12, from vertex 1 to verte... | 5 | MATH |
[
{
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 6, from vertex 4 to vertex 6, from vertex 4 to vertex 12, from vertex 7 to vertex 9, from vertex 11 to vertex 6, from vertex 2 to vertex 6, and from vertex 3 to verte... | 5 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 4, from vertex 7 to vertex 11, from vertex 3 to vertex 5, from vertex 3 to vertex 6, from vertex 1 to vertex 6, from vertex 14 to vertex 5, from vertex 9 to vertex 13... | 1 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 2, from vertex 13 to vertex 6, from vertex 11 to vertex 8, from vertex 2 to vertex 6, from vertex 10 to vertex 8, and from vertex 5 to vertex 12. How many distinct p... | 0 | MATH |
[
{
"content": "Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 6, from vertex 6 to vertex 2, from vertex 9 to vertex 6, from vertex 4 to vertex 10, from vertex 14 to vertex 9, and from vertex 14 to vertex 6. How many distinct pai... | 2 | MATH |
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