id stringlengths 46 46 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringclasses 15
values | dataset stringclasses 1
value |
|---|---|---|---|---|---|
geometry_perpendicular_intersection_train_0100 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 4, from vertex 8 to vertex 2, from vertex 1 to vertex 7, from vertex 5 to vertex 8, from vertex 1 to vertex 3, from vertex 6 to vertex 3, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0101 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4, from vertex 4 to vertex 8, from vertex 7 to vertex 5, from vertex 6 to vertex 8, from vertex 7 to vertex 2, from vertex 4 to vertex 1, from verte... | 10 | math |
geometry_perpendicular_intersection_train_0102 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 3, from vertex 4 to vertex 1, from vertex 5 to vertex 1, from vertex 2 to vertex 6, from vertex 4 to vertex 2, from vertex 3 to vertex 5, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0103 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 10, from vertex 10 to vertex 8, from vertex 8 to vertex 4, from vertex 4 to vertex 9, from vertex 3 to vertex 6, from vertex 2 to vertex 5, from v... | 8 | math |
geometry_perpendicular_intersection_train_0104 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7, from vertex 9 to vertex 5, from vertex 2 to vertex 8, from vertex 1 to vertex 11, from vertex 2 to vertex 10, from vertex 2 to vertex 9, from v... | 2 | math |
geometry_perpendicular_intersection_train_0105 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 3 to vertex 11, from vertex 9 to vertex 12, from vertex 9 to vertex 6, from vertex 11 to vertex 4, from vertex 1 to vertex 8, from ... | 8 | math |
geometry_perpendicular_intersection_train_0106 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 4 to vertex 2, from vertex 7 to vertex 1, from vertex 4 to vertex 9, from vertex 9 to vertex 2, from vertex 1 to vertex 8, from ver... | 4 | math |
geometry_perpendicular_intersection_train_0107 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 8, from vertex 2 to vertex 8, from vertex 7 to vertex 4, from vertex 2 to vertex 4, from vertex 6 to vertex 1, from vertex 6 to vertex 3, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0108 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 12, from vertex 8 to vertex 10, from vertex 1 to vertex 5, from vertex 5 to vertex 3, from vertex 7 to vertex 5, from vertex 9 to vertex 1, from v... | 4 | math |
geometry_perpendicular_intersection_train_0109 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 7, from vertex 2 to vertex 8, from vertex 6 to vertex 2, from vertex 8 to vertex 3, from vertex 1 to vertex 3, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0110 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 1, from vertex 4 to vertex 6, from vertex 5 to vertex 2, from vertex 5 to vertex 1, from vertex 3 to vertex 1, from vertex 2 to vertex 6, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0111 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 1 to vertex 3, from vertex 2 to vertex 4, from vertex 1 to vertex 5, from vertex 4 to vertex 1, from vertex 3 to vertex 6, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0112 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 9, from vertex 11 to vertex 6, from vertex 3 to vertex 10, from vertex 5 to vertex 11, from vertex 3 to vertex 7, from vertex 1 to vertex 7, from ... | 3 | math |
geometry_perpendicular_intersection_train_0113 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 9, from vertex 6 to vertex 4, from vertex 6 to vertex 9, from vertex 3 to vertex 6, from vertex 2 to vertex 7, from vertex 11 to vertex 9, from ve... | 0 | math |
geometry_perpendicular_intersection_train_0114 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 7, from vertex 4 to vertex 7, from vertex 8 to vertex 4, from vertex 6 to vertex 2, from vertex 1 to vertex 5, from vertex 7 to vertex 3, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0115 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 2 to vertex 4, from vertex 3 to vertex 8, from vertex 8 to vertex 4, from vertex 5 to vertex 1, from vertex 4 to vertex 7, from verte... | 3 | math |
geometry_perpendicular_intersection_train_0116 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 5 to vertex 3, from vertex 5 to vertex 1, from vertex 4 to vertex 2, from vertex 6 to vertex 4, from vertex 6 to vertex 3, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0117 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 3, from vertex 2 to vertex 7, from vertex 5 to vertex 7, from vertex 4 to vertex 6, from vertex 1 to vertex 3, from vertex 11 to vertex 2, from v... | 3 | math |
geometry_perpendicular_intersection_train_0118 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 2, from vertex 7 to vertex 2, from vertex 1 to vertex 4, from vertex 1 to vertex 6, from vertex 5 to vertex 8, from vertex 7 to vertex 3, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0119 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 8, from vertex 4 to vertex 2, from vertex 9 to vertex 1, from vertex 9 to vertex 6, from vertex 10 to vertex 4, from vertex 5 to vertex 9, from ve... | 6 | math |
geometry_perpendicular_intersection_train_0120 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 2, from vertex 7 to vertex 3, from vertex 8 to vertex 6, from vertex 4 to vertex 8, from vertex 4 to vertex 6, from vertex 1 to vertex 3, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0121 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 4 to vertex 6, from vertex 7 to vertex 3, from vertex 6 to vertex 1, from vertex 8 to vertex 6, from vertex 3 to vertex 8, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0122 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 3, from vertex 2 to vertex 4, from vertex 2 to vertex 6, from vertex 3 to vertex 1, from vertex 5 to vertex 3, from vertex 1 to vertex 4, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0123 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 10, from vertex 5 to vertex 1, from vertex 10 to vertex 2, from vertex 7 to vertex 4, from vertex 5 to vertex 7, from vertex 7 to vertex 12, and ... | 2 | math |
geometry_perpendicular_intersection_train_0124 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 6, from vertex 2 to vertex 8, from vertex 8 to vertex 3, from vertex 4 to vertex 6, from vertex 4 to vertex 1, from vertex 3 to vertex 5, from verte... | 11 | math |
geometry_perpendicular_intersection_train_0125 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 9, from vertex 1 to vertex 7, from vertex 1 to vertex 11, from vertex 10 to vertex 5, from vertex 5 to vertex 1, from vertex 7 to vertex 5, and fr... | 3 | math |
geometry_perpendicular_intersection_train_0126 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 5, from vertex 4 to vertex 9, from vertex 5 to vertex 2, from vertex 10 to vertex 8, from vertex 3 to vertex 5, from vertex 10 to vertex 4, from ... | 7 | math |
geometry_perpendicular_intersection_train_0127 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 9, from vertex 9 to vertex 5, from vertex 12 to vertex 5, from vertex 9 to vertex 1, from vertex 10 to vertex 12, from vertex 10 to vertex 8, fro... | 8 | math |
geometry_perpendicular_intersection_train_0128 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 6 to vertex 8, from vertex 7 to vertex 3, from vertex 8 to vertex 4, from vertex 5 to vertex 8, from vertex 1 to vertex 4, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0129 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 9, from vertex 5 to vertex 10, from vertex 2 to vertex 5, from vertex 8 to vertex 12, from vertex 1 to vertex 6, from vertex 8 to vertex 4, from v... | 2 | math |
geometry_perpendicular_intersection_train_0130 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 1, from vertex 3 to vertex 6, from vertex 4 to vertex 2, from vertex 2 to vertex 5, from vertex 3 to vertex 5, from vertex 2 to vertex 6, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0131 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 6 to vertex 8, from vertex 1 to vertex 4, from vertex 2 to vertex 4, from vertex 3 to vertex 7, from vertex 3 to vertex 8, from verte... | 10 | math |
geometry_perpendicular_intersection_train_0132 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 7, from vertex 3 to vertex 5, from vertex 5 to vertex 7, from vertex 8 to vertex 6, from vertex 5 to vertex 8, from vertex 4 to vertex 6, from verte... | 11 | math |
geometry_perpendicular_intersection_train_0133 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 3, from vertex 3 to vertex 10, from vertex 6 to vertex 2, from vertex 5 to vertex 1, from vertex 5 to vertex 9, from vertex 4 to vertex 10, and fr... | 4 | math |
geometry_perpendicular_intersection_train_0134 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 8, from vertex 6 to vertex 3, from vertex 7 to vertex 5, from vertex 7 to vertex 9, from vertex 10 to vertex 5, from vertex 3 to vertex 7, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0135 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 3 to vertex 1, from vertex 1 to vertex 5, from vertex 3 to vertex 6, from vertex 5 to vertex 2, from vertex 2 to vertex 4, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0136 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 6 to vertex 8, from vertex 3 to vertex 5, from vertex 8 to vertex 3, from vertex 1 to vertex 4, from vertex 4 to vertex 6, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0137 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 7, from vertex 7 to vertex 5, from vertex 8 to vertex 10, from vertex 2 to vertex 8, from vertex 3 to vertex 1, from vertex 5 to vertex 2, from ve... | 7 | math |
geometry_perpendicular_intersection_train_0138 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 1, from vertex 6 to vertex 4, from vertex 1 to vertex 5, from vertex 3 to vertex 5, from vertex 4 to vertex 8, from vertex 6 to vertex 3, from verte... | 10 | math |
geometry_perpendicular_intersection_train_0139 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 3 to vertex 5, from vertex 7 to vertex 2, from vertex 4 to vertex 1, from vertex 1 to vertex 7, from vertex 1 to vertex 9, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0140 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 6, from vertex 4 to vertex 2, from vertex 5 to vertex 1, from vertex 5 to vertex 3, from vertex 3 to vertex 1, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0141 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 7 to vertex 4, from vertex 2 to vertex 9, from vertex 5 to vertex 8, from vertex 5 to vertex 7, from vertex 3 to vertex 8, from ver... | 5 | math |
geometry_perpendicular_intersection_train_0142 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 9 to vertex 12, from vertex 6 to vertex 9, from vertex 11 to vertex 3, from vertex 3 to vertex 10, from vertex 8 to vertex 2, from ... | 2 | math |
geometry_perpendicular_intersection_train_0143 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 9, from vertex 2 to vertex 8, from vertex 3 to vertex 6, from vertex 11 to vertex 4, from vertex 2 to vertex 7, from vertex 5 to vertex 10, from v... | 6 | math |
geometry_perpendicular_intersection_train_0144 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 10, from vertex 9 to vertex 2, from vertex 1 to vertex 5, from vertex 10 to vertex 1, from vertex 12 to vertex 3, from vertex 5 to vertex 12, from... | 9 | math |
geometry_perpendicular_intersection_train_0145 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 7, from vertex 5 to vertex 2, from vertex 1 to vertex 6, from vertex 3 to vertex 6, from vertex 7 to vertex 3, from verte... | 2 | math |
geometry_perpendicular_intersection_train_0146 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 1 to vertex 8, from vertex 4 to vertex 1, from vertex 2 to vertex 8, from vertex 10 to vertex 3, from vertex 10 to vertex 8, from v... | 4 | math |
geometry_perpendicular_intersection_train_0147 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 8 to vertex 5, from vertex 9 to vertex 3, from vertex 7 to vertex 3, from vertex 7 to vertex 12, from vertex 2 to vertex 12, and fr... | 1 | math |
geometry_perpendicular_intersection_train_0148 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6, from vertex 3 to vertex 10, from vertex 5 to vertex 2, from vertex 10 to vertex 2, from vertex 3 to vertex 9, from vertex 5 to vertex 1, from v... | 4 | math |
geometry_perpendicular_intersection_train_0149 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 5, from vertex 7 to vertex 3, from vertex 12 to vertex 6, from vertex 1 to vertex 6, from vertex 8 to vertex 2, from vertex 9 to vertex 3, from ve... | 6 | math |
geometry_perpendicular_intersection_train_0150 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 9, from vertex 6 to vertex 9, from vertex 8 to vertex 1, from vertex 1 to vertex 3, from vertex 8 to vertex 3, from vertex 6 to vertex 4, from ver... | 6 | math |
geometry_perpendicular_intersection_train_0151 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 7, from vertex 7 to vertex 4, from vertex 12 to vertex 8, from vertex 7 to vertex 2, from vertex 7 to vertex 1, from vertex 4 to vertex 11, from ... | 2 | math |
geometry_perpendicular_intersection_train_0152 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 1 to vertex 4, from vertex 6 to vertex 8, from vertex 1 to vertex 6, from vertex 7 to vertex 2, from vertex 4 to vertex 2, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0153 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 8, from vertex 6 to vertex 3, from vertex 5 to vertex 9, from vertex 2 to vertex 10, from vertex 4 to vertex 6, from vertex 1 to vertex 3, from v... | 10 | math |
geometry_perpendicular_intersection_train_0154 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2, from vertex 10 to vertex 8, from vertex 4 to vertex 8, from vertex 7 to vertex 3, from vertex 8 to vertex 3, from vertex 7 to vertex 10, from v... | 6 | math |
geometry_perpendicular_intersection_train_0155 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6, from vertex 12 to vertex 4, from vertex 1 to vertex 10, from vertex 2 to vertex 6, from vertex 4 to vertex 8, from vertex 10 to vertex 7, from ... | 1 | math |
geometry_perpendicular_intersection_train_0156 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 3 to vertex 7, from vertex 3 to vertex 5, from vertex 5 to vertex 7, from vertex 3 to vertex 8, from vertex 8 to vertex 2, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0157 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 3, from vertex 6 to vertex 8, from vertex 4 to vertex 2, from vertex 1 to vertex 6, from vertex 2 to vertex 8, from vertex 5 to vertex 10, from ve... | 6 | math |
geometry_perpendicular_intersection_train_0158 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 8 to vertex 6, from vertex 9 to vertex 3, from vertex 8 to vertex 10, from vertex 7 to vertex 4, from vertex 2 to vertex 7, from ve... | 6 | math |
geometry_perpendicular_intersection_train_0159 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 4 to vertex 2, from vertex 6 to vertex 3, from vertex 4 to vertex 1, from vertex 5 to vertex 2, from vertex 6 to vertex 4, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0160 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 5 to vertex 3, from vertex 4 to vertex 6, from vertex 2 to vertex 7, from vertex 1 to vertex 6, from vertex 8 to vertex 5, from ver... | 6 | math |
geometry_perpendicular_intersection_train_0161 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 6 to vertex 4, from vertex 1 to vertex 3, from vertex 3 to vertex 6, from vertex 2 to vertex 4, from vertex 4 to vertex 1, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0162 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 10 to vertex 7, from vertex 1 to vertex 5, from vertex 7 to vertex 1, from vertex 8 to vertex 10, from vertex 6 to vertex 3, from v... | 5 | math |
geometry_perpendicular_intersection_train_0163 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 8 to vertex 2, from vertex 4 to vertex 2, from vertex 7 to vertex 4, from vertex 6 to vertex 4, from vertex 3 to vertex 6, from verte... | 11 | math |
geometry_perpendicular_intersection_train_0164 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 6, from vertex 10 to vertex 7, from vertex 1 to vertex 9, from vertex 10 to vertex 3, from vertex 2 to vertex 4, from vertex 9 to vertex 6, from v... | 7 | math |
geometry_perpendicular_intersection_train_0165 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 6 to vertex 2, from vertex 6 to vertex 12, from vertex 1 to vertex 11, from vertex 5 to vertex 3, from vertex 1 to vertex 4, from ... | 4 | math |
geometry_perpendicular_intersection_train_0166 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 6, from vertex 1 to vertex 7, from vertex 12 to vertex 7, from vertex 9 to vertex 2, from vertex 3 to vertex 7, from vertex 11 to vertex 7, from ... | 5 | math |
geometry_perpendicular_intersection_train_0167 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 5, from vertex 2 to vertex 4, from vertex 4 to vertex 1, from vertex 4 to vertex 6, from vertex 3 to vertex 1, from vertex 5 to vertex 2, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0168 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 2, from vertex 6 to vertex 8, from vertex 8 to vertex 2, from vertex 6 to vertex 1, from vertex 3 to vertex 7, from vertex 9 to vertex 5, from ve... | 6 | math |
geometry_perpendicular_intersection_train_0169 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 3 to vertex 7, from vertex 5 to vertex 7, from vertex 4 to vertex 6, from vertex 3 to vertex 8, from vertex 1 to vertex 3, from verte... | 11 | math |
geometry_perpendicular_intersection_train_0170 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 4 to vertex 1, from vertex 6 to vertex 3, from vertex 3 to vertex 1, from vertex 6 to vertex 4, from vertex 5 to vertex 2, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0171 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 4 to vertex 10, from vertex 6 to vertex 9, from vertex 7 to vertex 1, from vertex 10 to vertex 2, from vertex 10 to vertex 6, from ... | 7 | math |
geometry_perpendicular_intersection_train_0172 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 8 to vertex 1, from vertex 7 to vertex 2, from vertex 10 to vertex 3, from vertex 9 to vertex 1, from vertex 10 to vertex 8, from v... | 3 | math |
geometry_perpendicular_intersection_train_0173 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 6, from vertex 3 to vertex 12, from vertex 12 to vertex 6, from vertex 11 to vertex 5, from vertex 5 to vertex 1, from vertex 4 to vertex 7, from... | 4 | math |
geometry_perpendicular_intersection_train_0174 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 1 to vertex 3, from vertex 5 to vertex 1, from vertex 2 to vertex 6, from vertex 3 to vertex 5, from vertex 2 to vertex 5, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0175 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 5 to vertex 1, from vertex 6 to vertex 9, from vertex 7 to vertex 9, from vertex 10 to vertex 5, from vertex 7 to vertex 10, from v... | 0 | math |
geometry_perpendicular_intersection_train_0176 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 7, from vertex 1 to vertex 3, from vertex 6 to vertex 4, from vertex 3 to vertex 8, from vertex 2 to vertex 6, from vertex 5 to vertex 8, from verte... | 2 | math |
geometry_perpendicular_intersection_train_0177 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 2 to vertex 6, from vertex 7 to vertex 3, from vertex 8 to vertex 2, from vertex 1 to vertex 6, from vertex 7 to vertex 5, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0178 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 1, from vertex 10 to vertex 12, from vertex 5 to vertex 2, from vertex 12 to vertex 6, from vertex 11 to vertex 4, from vertex 2 to vertex 10, and... | 3 | math |
geometry_perpendicular_intersection_train_0179 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 12, from vertex 11 to vertex 6, from vertex 9 to vertex 7, from vertex 4 to vertex 12, from vertex 5 to vertex 8, from vertex 10 to vertex 8, from... | 3 | math |
geometry_perpendicular_intersection_train_0180 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 2, from vertex 3 to vertex 11, from vertex 1 to vertex 8, from vertex 7 to vertex 11, from vertex 4 to vertex 10, from vertex 12 to vertex 2, and ... | 0 | math |
geometry_perpendicular_intersection_train_0181 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 1, from vertex 2 to vertex 8, from vertex 7 to vertex 2, from vertex 5 to vertex 3, from vertex 5 to vertex 1, from vertex 8 to vertex 5, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0182 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 9, from vertex 6 to vertex 2, from vertex 2 to vertex 12, from vertex 2 to vertex 5, from vertex 6 to vertex 3, from vertex 5 to vertex 12, from v... | 7 | math |
geometry_perpendicular_intersection_train_0183 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 10, from vertex 1 to vertex 4, from vertex 5 to vertex 11, from vertex 1 to vertex 3, from vertex 6 to vertex 4, from vertex 7 to vertex 9, from v... | 8 | math |
geometry_perpendicular_intersection_train_0184 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 6 to vertex 4, from vertex 7 to vertex 9, from vertex 11 to vertex 8, from vertex 1 to vertex 3, from vertex 3 to vertex 5, and fro... | 3 | math |
geometry_perpendicular_intersection_train_0185 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 1, from vertex 2 to vertex 5, from vertex 9 to vertex 6, from vertex 1 to vertex 9, from vertex 7 to vertex 1, and fro... | 2 | math |
geometry_perpendicular_intersection_train_0186 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 1 to vertex 6, from vertex 8 to vertex 6, from vertex 2 to vertex 8, from vertex 7 to vertex 3, from vertex 4 to vertex 8, from verte... | 14 | math |
geometry_perpendicular_intersection_train_0187 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 5, from vertex 10 to vertex 8, from vertex 6 to vertex 3, from vertex 7 to vertex 9, from vertex 9 to vertex 4, from vertex 9 to vertex 11, from v... | 3 | math |
geometry_perpendicular_intersection_train_0188 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 1 to vertex 5, from vertex 5 to vertex 2, from vertex 8 to vertex 5, from vertex 5 to vertex 9, from vertex 6 to vertex 3, from ver... | 7 | math |
geometry_perpendicular_intersection_train_0189 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 2 to vertex 7, from vertex 4 to vertex 7, from vertex 2 to vertex 6, from vertex 3 to vertex 6, from vertex 5 to vertex 3, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0190 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 5, from vertex 4 to vertex 2, from vertex 9 to vertex 2, from vertex 6 to vertex 4, from vertex 6 to vertex 1, from vertex 1 to vertex 7, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0191 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 11, from vertex 2 to vertex 4, from vertex 1 to vertex 6, from vertex 1 to vertex 5, from vertex 9 to vertex 5, from vertex 5 to vertex 2, from ve... | 1 | math |
geometry_perpendicular_intersection_train_0192 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 4 to vertex 8, from vertex 8 to vertex 6, from vertex 7 to vertex 2, from vertex 8 to vertex 3, from vertex 7 to vertex 5, from verte... | 3 | math |
geometry_perpendicular_intersection_train_0193 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 9, from vertex 1 to vertex 5, from vertex 10 to vertex 6, from vertex 7 to vertex 4, from vertex 11 to vertex 5, from vertex 12 to vertex 2, from ... | 1 | math |
geometry_perpendicular_intersection_train_0194 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 6 to vertex 4, from vertex 3 to vertex 6, from vertex 1 to vertex 5, from vertex 5 to vertex 3, from vertex 2 to vertex 4, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0195 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"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 6 to vertex 3, from vertex 7 to vertex 5, from vertex 9 to vertex 5, from vertex 1 to vertex 7, from vertex 5 to vertex 8, and from... | 2 | math |
geometry_perpendicular_intersection_train_0196 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6, from vertex 3 to vertex 1, from vertex 4 to vertex 1, from vertex 2 to vertex 5, from vertex 1 to vertex 5, from vertex 2 to vertex 4, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0197 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 4 to vertex 8, from vertex 8 to vertex 6, from vertex 5 to vertex 9, from vertex 1 to vertex 6, from vertex 1 to vertex 9, from ver... | 3 | math |
geometry_perpendicular_intersection_train_0198 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 5, from vertex 2 to vertex 7, from vertex 2 to vertex 4, from vertex 4 to vertex 1, from vertex 7 to vertex 1, from vertex 4 to vertex 8, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0199 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 3, from vertex 10 to vertex 6, from vertex 7 to vertex 4, from vertex 3 to vertex 9, from vertex 8 to vertex 3, from vertex 7 to vertex 5, from ve... | 6 | math |
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