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_0200 | 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 1, from vertex 7 to vertex 10, from vertex 2 to vertex 6, from vertex 7 to vertex 3, from vertex 8 to vertex 4, from vertex 4 to vertex 2, from ve... | 7 | math |
geometry_perpendicular_intersection_train_0201 | 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 6, from vertex 5 to vertex 2, from vertex 7 to vertex 2, from vertex 5 to vertex 3, from vertex 2 to vertex 4, from vertex 5 to vertex 1, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0202 | 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 12, from vertex 7 to vertex 1, from vertex 5 to vertex 11, from vertex 7 to vertex 5, from vertex 2 to vertex 8, from vertex 1 to vertex 6, from v... | 3 | math |
geometry_perpendicular_intersection_train_0203 | 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 5, from vertex 1 to vertex 6, from vertex 4 to vertex 2, from vertex 5 to vertex 3, from vertex 5 to vertex 8, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0204 | 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 4 to vertex 2, from vertex 6 to vertex 3, from vertex 3 to vertex 7, from vertex 10 to vertex 2, from vertex 6 to vertex 9, from ve... | 6 | math |
geometry_perpendicular_intersection_train_0205 | 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 3 to vertex 7, from vertex 8 to vertex 4, from vertex 2 to vertex 7, from vertex 4 to vertex 2, from vertex 3 to vertex 8, and from v... | 2 | math |
geometry_perpendicular_intersection_train_0206 | 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 6, from vertex 2 to vertex 8, from vertex 8 to vertex 4, from vertex 4 to vertex 6, from vertex 3 to vertex 1, from vertex 1 to vertex 4, from verte... | 2 | math |
geometry_perpendicular_intersection_train_0207 | 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 5 to vertex 2, from vertex 1 to vertex 3, from vertex 4 to vertex 1, from vertex 4 to vertex 2, from vertex 6 to vertex 4, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0208 | 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 2, from vertex 4 to vertex 7, from vertex 10 to vertex 8, from vertex 2 to vertex 7, from vertex 4 to vertex 8, from vertex 3 to vertex 5, from ve... | 2 | math |
geometry_perpendicular_intersection_train_0209 | 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 4, from vertex 5 to vertex 2, from vertex 6 to vertex 12, from vertex 9 to vertex 2, from vertex 5 to vertex 7, from vertex 10 to vertex 12, from ... | 8 | math |
geometry_perpendicular_intersection_train_0210 | 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 6, from vertex 9 to vertex 7, from vertex 8 to vertex 1, from vertex 6 to vertex 8, from vertex 9 to vertex 6, from vertex 7 to vertex 10, from v... | 5 | math |
geometry_perpendicular_intersection_train_0211 | 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 3, from vertex 2 to vertex 8, from vertex 1 to vertex 5, from vertex 3 to vertex 1, from vertex 1 to vertex 4, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0212 | 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 6 to vertex 8, from vertex 5 to vertex 2, from vertex 2 to vertex 9, from vertex 10 to vertex 3, from vertex 1 to vertex 3, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0213 | 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 2, from vertex 6 to vertex 8, from vertex 7 to vertex 5, from vertex 6 to vertex 3, from vertex 8 to vertex 3, from vertex 4 to vertex 1, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0214 | 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 10 to vertex 6, from vertex 8 to vertex 2, from vertex 2 to vertex 6, from vertex 1 to vertex 6, from vertex 9 to vertex 5, from ve... | 2 | math |
geometry_perpendicular_intersection_train_0215 | 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 4, from vertex 6 to vertex 4, from vertex 1 to vertex 5, from vertex 2 to vertex 6, from vertex 5 to vertex 3, from vertex 1 to vertex 4, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0216 | 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 4, from vertex 3 to vertex 8, from vertex 6 to vertex 4, from vertex 1 to vertex 7, from vertex 6 to vertex 2, from vertex 7 to vertex 3, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0217 | 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 4, from vertex 3 to vertex 5, from vertex 2 to vertex 6, from vertex 3 to vertex 7, from vertex 1 to vertex 4, from vertex 1 to vertex 7, from verte... | 13 | math |
geometry_perpendicular_intersection_train_0218 | 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 4, from vertex 7 to vertex 5, from vertex 6 to vertex 8, from vertex 2 to vertex 6, from vertex 2 to vertex 9, from vertex 1 to vertex 7, from ver... | 4 | math |
geometry_perpendicular_intersection_train_0219 | 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 8, from vertex 8 to vertex 4, from vertex 5 to vertex 8, from vertex 8 to vertex 6, from vertex 2 to vertex 5, from vertex 5 to vertex 1, from verte... | 11 | math |
geometry_perpendicular_intersection_train_0220 | 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 9, from vertex 3 to vertex 10, from vertex 5 to vertex 1, from vertex 7 to vertex 2, from vertex 3 to vertex 5, from vertex 10 to vertex 2, from v... | 4 | math |
geometry_perpendicular_intersection_train_0221 | 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 2 to vertex 8, from vertex 2 to vertex 6, from vertex 5 to vertex 2, from vertex 5 to vertex 7, from vertex 4 to vertex 2, from verte... | 12 | math |
geometry_perpendicular_intersection_train_0222 | 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 4, from vertex 8 to vertex 4, from vertex 1 to vertex 6, from vertex 5 to vertex 2, from vertex 3 to vertex 1, from vertex 10 to vertex 6, and fro... | 3 | math |
geometry_perpendicular_intersection_train_0223 | 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 7 to vertex 1, from vertex 2 to vertex 4, from vertex 1 to vertex 5, from vertex 4 to vertex 6, from vertex 6 to vertex 8, and from v... | 5 | math |
geometry_perpendicular_intersection_train_0224 | 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 4, from vertex 4 to vertex 9, from vertex 10 to vertex 2, from vertex 9 to vertex 6, from vertex 3 to vertex 10, from vertex 7 to vertex 4, from v... | 5 | math |
geometry_perpendicular_intersection_train_0225 | 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 7, from vertex 5 to vertex 9, from vertex 8 to vertex 3, from vertex 4 to vertex 6, from vertex 6 to vertex 2, from vertex 7 to vertex 3, from ve... | 2 | math |
geometry_perpendicular_intersection_train_0226 | 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 6, from vertex 3 to vertex 5, from vertex 8 to vertex 5, from vertex 9 to vertex 5, from vertex 1 to vertex 3, from vertex 5 to vertex 2, from ver... | 3 | math |
geometry_perpendicular_intersection_train_0227 | 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 12 to vertex 4, from vertex 7 to vertex 10, from vertex 3 to vertex 7, from vertex 1 to vertex 5, from vertex 8 to vertex 10, from... | 2 | math |
geometry_perpendicular_intersection_train_0228 | 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 9, from vertex 5 to vertex 1, from vertex 3 to vertex 8, from vertex 8 to vertex 2, from vertex 9 to vertex 2, from vertex 7 to vertex 9, from ver... | 6 | math |
geometry_perpendicular_intersection_train_0229 | 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 7, from vertex 12 to vertex 2, from vertex 10 to vertex 2, from vertex 10 to vertex 1, from vertex 8 to vertex 4, from vertex 11 to vertex 3, from... | 4 | math |
geometry_perpendicular_intersection_train_0230 | 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 7 to vertex 1, from vertex 2 to vertex 6, from vertex 7 to vertex 9, from vertex 4 to vertex 9, from vertex 3 to vertex 7, from ve... | 4 | math |
geometry_perpendicular_intersection_train_0231 | 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 4 to vertex 2, from vertex 3 to vertex 7, from vertex 6 to vertex 8, from vertex 4 to vertex 8, from vertex 7 to vertex 5, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0232 | 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 2, from vertex 11 to vertex 4, from vertex 9 to vertex 7, from vertex 6 to vertex 1, from vertex 3 to vertex 6, from vertex 10 to vertex 6, from v... | 2 | math |
geometry_perpendicular_intersection_train_0233 | 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 4, from vertex 6 to vertex 2, from vertex 4 to vertex 2, from vertex 4 to vertex 6, from vertex 3 to vertex 1, from vertex 5 to vertex 3, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0234 | 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 5, from vertex 1 to vertex 8, from vertex 3 to vertex 7, from vertex 2 to vertex 5, from vertex 3 to vertex 5, from vertex 1 to vertex 9, from ver... | 3 | math |
geometry_perpendicular_intersection_train_0235 | 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 6, from vertex 4 to vertex 6, from vertex 6 to vertex 1, from vertex 6 to vertex 3, from vertex 5 to vertex 1, from vertex 3 to vertex 8, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0236 | 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 6, from vertex 8 to vertex 1, from vertex 9 to vertex 7, from vertex 8 to vertex 3, from vertex 5 to vertex 3, from vertex 3 to vertex 10, from ve... | 4 | math |
geometry_perpendicular_intersection_train_0237 | 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 2, from vertex 4 to vertex 1, from vertex 1 to vertex 5, from vertex 6 to vertex 8, from vertex 3 to vertex 6, from vertex 2 to vertex 7, from ver... | 4 | math |
geometry_perpendicular_intersection_train_0238 | 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 3, from vertex 6 to vertex 1, from vertex 1 to vertex 4, from vertex 6 to vertex 11, from vertex 10 to vertex 8, from vertex 8 to vertex 6, from ... | 6 | math |
geometry_perpendicular_intersection_train_0239 | 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 10, from vertex 10 to vertex 5, from vertex 11 to vertex 9, from vertex 5 to vertex 7, from vertex 3 to vertex 1, from vertex 8 to vertex 4, from ... | 4 | math |
geometry_perpendicular_intersection_train_0240 | 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 4, from vertex 5 to vertex 2, from vertex 3 to vertex 1, from vertex 3 to vertex 5, from vertex 6 to vertex 3, from vertex 6 to vertex 4, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0241 | 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 6 to vertex 4, from vertex 4 to vertex 8, from vertex 6 to vertex 1, from vertex 8 to vertex 5, from vertex 5 to vertex 1, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0242 | 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 7, from vertex 6 to vertex 2, from vertex 4 to vertex 8, from vertex 2 to vertex 8, from vertex 5 to vertex 7, from vertex 5 to vertex 3, from verte... | 13 | math |
geometry_perpendicular_intersection_train_0243 | 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 3, from vertex 5 to vertex 3, 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 verte... | 4 | math |
geometry_perpendicular_intersection_train_0244 | 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 7 to vertex 3, from vertex 4 to vertex 9, from vertex 10 to vertex 5, from vertex 1 to vertex 7, from vertex 8 to vertex 2, from vertex 5 to vertex 8, from ve... | 12 | math |
geometry_perpendicular_intersection_train_0245 | 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 7 to vertex 1, from vertex 2 to vertex 10, from vertex 8 to vertex 3, from vertex 5 to vertex 2, from vertex 1 to vertex 6, from vertex 8 to vertex 2, from ve... | 4 | math |
geometry_perpendicular_intersection_train_0246 | 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 3, from vertex 3 to vertex 1, from vertex 5 to vertex 2, from vertex 1 to vertex 4, from vertex 2 to vertex 4, from vertex 5 to vertex 1, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0247 | 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 1, from vertex 2 to vertex 9, from vertex 5 to vertex 10, from vertex 6 to vertex 3, from vertex 2 to vertex 4, from vertex 8 to vertex 6, from ve... | 9 | math |
geometry_perpendicular_intersection_train_0248 | 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 1, from vertex 7 to vertex 5, from vertex 3 to vertex 9, from vertex 4 to vertex 2, from vertex 1 to vertex 9, from vertex 6 to vertex 10, from ve... | 8 | math |
geometry_perpendicular_intersection_train_0249 | 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 8, from vertex 4 to vertex 1, from vertex 6 to vertex 9, from vertex 9 to vertex 5, from vertex 2 to vertex 5, from vertex 5 to vertex 10, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0250 | 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 3, from vertex 1 to vertex 4, from vertex 4 to vertex 8, from vertex 8 to vertex 2, from vertex 3 to vertex 7, from vertex 2 to vertex 5, from verte... | 10 | math |
geometry_perpendicular_intersection_train_0251 | 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 2, from vertex 2 to vertex 5, from vertex 4 to vertex 1, from vertex 6 to vertex 1, from vertex 2 to vertex 8, from vertex 4 to vertex 6, from verte... | 3 | math |
geometry_perpendicular_intersection_train_0252 | 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 8 to vertex 5, from vertex 2 to vertex 7, from vertex 2 to vertex 6, from vertex 2 to vertex 8, from vertex 1 to vertex 7, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0253 | 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 7 to vertex 10, from vertex 7 to vertex 1, from vertex 2 to vertex 6, from vertex 4 to vertex 10, from vertex 9 to vertex 5, from vertex 6 to vertex 8, from v... | 3 | math |
geometry_perpendicular_intersection_train_0254 | 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 5 to vertex 3, from vertex 5 to vertex 9, from vertex 9 to vertex 6, from vertex 2 to vertex 6, from vertex 7 to vertex 2, from vertex 8 to vertex 1, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0255 | 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 8 to vertex 2, from vertex 2 to vertex 5, from vertex 7 to vertex 1, from vertex 4 to vertex 2, from vertex 6 to vertex 3, and from v... | 3 | math |
geometry_perpendicular_intersection_train_0256 | 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 5 to vertex 8, from vertex 2 to vertex 7, from vertex 4 to vertex 8, from vertex 6 to vertex 8, from vertex 9 to vertex 2, from ver... | 3 | math |
geometry_perpendicular_intersection_train_0257 | 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 10, from vertex 2 to vertex 9, from vertex 5 to vertex 2, from vertex 6 to vertex 9, from vertex 7 to vertex 3, from vertex 2 to vertex 10, and fr... | 3 | math |
geometry_perpendicular_intersection_train_0258 | 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 2, from vertex 5 to vertex 2, from vertex 4 to vertex 8, from vertex 2 to vertex 4, from vertex 7 to vertex 5, from vertex 3 to vertex 7, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0259 | 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 2, from vertex 8 to vertex 2, from vertex 1 to vertex 6, from vertex 4 to vertex 7, from vertex 3 to vertex 7, from vertex 7 to vertex 5, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0260 | 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 2 to vertex 5, from vertex 1 to vertex 4, from vertex 6 to vertex 2, from vertex 5 to vertex 7, from vertex 6 to vertex 3, from vertex 3 to vertex 7, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0261 | 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 9 to vertex 11, from vertex 12 to vertex 3, from vertex 9 to vertex 1, from vertex 3 to vertex 7, from vertex 1 to vertex 4, from v... | 0 | math |
geometry_perpendicular_intersection_train_0262 | 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 9, from vertex 12 to vertex 10, from vertex 8 to vertex 12, from vertex 11 to vertex 5, from vertex 7 to vertex 1, from vertex 6 to vertex 4, from... | 6 | math |
geometry_perpendicular_intersection_train_0263 | 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 6, from vertex 6 to vertex 1, from vertex 3 to vertex 1, from vertex 7 to vertex 2, from vertex 4 to vertex 7, from vertex 4 to vertex 1, from verte... | 10 | math |
geometry_perpendicular_intersection_train_0264 | 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 3 to vertex 7, from vertex 1 to vertex 3, from vertex 1 to vertex 4, from vertex 2 to vertex 4, from vertex 6 to vertex 1, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0265 | 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 4 to vertex 11, from vertex 10 to vertex 1, from vertex 8 to vertex 10, from vertex 8 to vertex 5, from vertex 12 to vertex 10, fro... | 3 | math |
geometry_perpendicular_intersection_train_0266 | 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 10, from vertex 4 to vertex 10, from vertex 6 to vertex 8, from vertex 7 to vertex 3, from vertex 9 to vertex 3, from ... | 3 | math |
geometry_perpendicular_intersection_train_0267 | 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 7, from vertex 10 to vertex 4, from vertex 3 to vertex 1, from vertex 9 to vertex 4, from vertex 10 to vertex 3, from vertex 7 to vertex 5, from ... | 1 | math |
geometry_perpendicular_intersection_train_0268 | 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 7 to vertex 2, from vertex 12 to vertex 8, from vertex 6 to vertex 4, from vertex 1 to vertex 8, from vertex 4 to vertex 10, from v... | 7 | math |
geometry_perpendicular_intersection_train_0269 | 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 12, from vertex 10 to vertex 5, from vertex 10 to vertex 2, from vertex 4 to vertex 12, from vertex 8 to vertex 2, from vertex 5 to vertex 2, from... | 9 | math |
geometry_perpendicular_intersection_train_0270 | 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 4, from vertex 2 to vertex 5, from vertex 1 to vertex 4, from vertex 3 to vertex 5, from vertex 2 to vertex 6, from vertex 5 to vertex 1, and from v... | 3 | math |
geometry_perpendicular_intersection_train_0271 | 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 10, from vertex 12 to vertex 8, from vertex 2 to vertex 6, from vertex 1 to vertex 5, from vertex 7 to vertex 12, from vertex 7 to vertex 11, from... | 3 | math |
geometry_perpendicular_intersection_train_0272 | 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 2 to vertex 6, from vertex 2 to vertex 8, from vertex 10 to vertex 3, from vertex 1 to vertex 3, from vertex 10 to vertex 8, from v... | 5 | math |
geometry_perpendicular_intersection_train_0273 | 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 2, from vertex 3 to vertex 8, from vertex 8 to vertex 2, from vertex 1 to vertex 3, from vertex 1 to vertex 6, from vertex 6 to vertex 3, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0274 | 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 5, from vertex 5 to vertex 7, from vertex 5 to vertex 1, from vertex 3 to vertex 6, from vertex 1 to vertex 4, from vertex 2 to vertex 5, and from v... | 3 | math |
geometry_perpendicular_intersection_train_0275 | 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 8, from vertex 1 to vertex 11, from vertex 6 to vertex 8, from vertex 8 to vertex 10, from vertex 12 to vertex 2, from vertex 7 to vertex 10, fro... | 4 | math |
geometry_perpendicular_intersection_train_0276 | 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 6 to vertex 4, from vertex 10 to vertex 7, from vertex 1 to vertex 6, from vertex 9 to vertex 4, from vertex 9 to vertex 5, from ve... | 0 | math |
geometry_perpendicular_intersection_train_0277 | 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 1, from vertex 7 to vertex 1, from vertex 4 to vertex 2, from vertex 3 to vertex 7, from vertex 8 to vertex 3, from vertex 1 to vertex 4, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0278 | 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 2, from vertex 3 to vertex 1, from vertex 2 to vertex 6, from vertex 1 to vertex 7, from vertex 1 to vertex 6, from vertex 2 to vertex 7, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0279 | 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 6, from vertex 1 to vertex 3, from vertex 5 to vertex 7, from vertex 10 to vertex 6, from vertex 10 to vertex 5, from vertex 6 to vertex 8, and fr... | 2 | math |
geometry_perpendicular_intersection_train_0280 | 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 4, from vertex 9 to vertex 7, from vertex 8 to vertex 5, from vertex 3 to vertex 10, from vertex 3 to vertex 5, from vertex 8 to vertex 2, from ve... | 7 | math |
geometry_perpendicular_intersection_train_0281 | 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 9, from vertex 11 to vertex 4, from vertex 9 to vertex 11, from vertex 12 to vertex 10, from vertex 5 to vertex 10, from vertex 6 to vertex 11, fr... | 6 | math |
geometry_perpendicular_intersection_train_0282 | 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 2 to vertex 5, from vertex 9 to vertex 6, from vertex 1 to vertex 5, from vertex 9 to vertex 2, from vertex 3 to vertex 9, and from... | 3 | math |
geometry_perpendicular_intersection_train_0283 | 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 3 to vertex 1, from vertex 12 to vertex 6, from vertex 7 to vertex 11, from vertex 6 to vertex 10, from vertex 8 to vertex 6, from ... | 6 | math |
geometry_perpendicular_intersection_train_0284 | 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 10, from vertex 2 to vertex 10, from vertex 10 to vertex 4, from vertex 5 to vertex 8, from vertex 7 to vertex 9, from vertex 1 to vertex 5, from ... | 6 | math |
geometry_perpendicular_intersection_train_0285 | 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 10, from vertex 9 to vertex 4, from vertex 8 to vertex 3, from vertex 2 to vertex 8, from vertex 4 to vertex 1, from vertex 7 to vertex 2, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0286 | 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 1, from vertex 6 to vertex 8, from vertex 7 to vertex 4, from vertex 3 to vertex 1, from vertex 2 to vertex 8, from vertex 4 to vertex 2, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0287 | 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 6 to vertex 3, from vertex 10 to vertex 8, from vertex 5 to vertex 10, from vertex 10 to vertex 2, from vertex 2 to vertex 8, from... | 2 | math |
geometry_perpendicular_intersection_train_0288 | 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 7, from vertex 3 to vertex 9, from vertex 11 to vertex 4, from vertex 12 to vertex 3, from vertex 2 to vertex 5, from vertex 5 to vertex 3, from v... | 5 | math |
geometry_perpendicular_intersection_train_0289 | 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 8, from vertex 7 to vertex 12, from vertex 5 to vertex 12, from vertex 7 to vertex 2, from vertex 3 to vertex 11, from vertex 3 to vertex 10, fro... | 2 | math |
geometry_perpendicular_intersection_train_0290 | 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 1, from vertex 6 to vertex 4, from vertex 9 to vertex 4, from vertex 2 to vertex 6, from vertex 7 to vertex 9, from vertex 3 to vertex 6, from ver... | 3 | math |
geometry_perpendicular_intersection_train_0291 | 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 4, from vertex 5 to vertex 10, from vertex 8 to vertex 3, from vertex 6 to vertex 10, from vertex 8 to vertex 5, from vertex 1 to vertex 8, from v... | 5 | math |
geometry_perpendicular_intersection_train_0292 | 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 9 to vertex 4, from vertex 3 to vertex 1, from vertex 2 to vertex 6, from vertex 1 to vertex 9, from vertex 2 to vertex 7, from ver... | 5 | math |
geometry_perpendicular_intersection_train_0293 | 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 1, from vertex 5 to vertex 1, from vertex 7 to vertex 4, from vertex 7 to vertex 1, from vertex 8 to vertex 6, from vertex 3 to vertex 6, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0294 | 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 8, from vertex 3 to vertex 6, from vertex 7 to vertex 1, from vertex 7 to vertex 3, from vertex 4 to vertex 2, from vertex 5 to vertex 2, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0295 | 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 4, from vertex 7 to vertex 2, from vertex 7 to vertex 1, from vertex 4 to vertex 8, from vertex 2 to vertex 4, from vertex 6 to vertex 3, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0296 | 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 5 to vertex 3, from vertex 5 to vertex 2, from vertex 4 to vertex 2, from vertex 1 to vertex 4, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0297 | 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 4, from vertex 4 to vertex 6, from vertex 3 to vertex 1, from vertex 2 to vertex 4, from vertex 6 to vertex 3, from vertex 3 to vertex 5, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0298 | 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 7 to vertex 3, from vertex 6 to vertex 3, from vertex 3 to vertex 5, from vertex 8 to vertex 5, from vertex 4 to vertex 1, from verte... | 3 | math |
geometry_perpendicular_intersection_train_0299 | 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 9 to vertex 5, from vertex 3 to vertex 11, from vertex 9 to vertex 11, from vertex 9 to vertex 2, from vertex 12 to vertex 2, from vertex 7 to vertex 11, from... | 4 | math |
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