image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/1296/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 32); Equals(MeasureOf(Angle(E, C, S)), 30); Equals(LengthOf(Line(S, E)), 12); Perpendicular(Line(B, E), Li... |
geometry3k/train/1299/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(R, Line(Q, S)); PointLiesOnLine(V, Line(Q, U)); PointLiesOnLine(P, Line(Q, T)); PointLiesOnLine(T, Line(S, U)); PointLi... |
geometry3k/train/1300/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 3\\sqrt{2}); Equals(LengthOf(Line(D, C)), z); Equals(LengthOf(Line(D, B)), \\sqrt{2}); Equals(LengthOf(Lin... |
geometry3k/train/1302/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, Q)), 3x+8); Equals(LengthOf(Line(S, R)), 26); PointLiesOnCircle(S, Circle(T, radius_)); PointLiesOnCircle(Q, Ci... |
geometry3k/train/1304/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 12); Equals(LengthOf(Line(E, C)), 6); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(E, A)), x); Po... |
geometry3k/train/1306/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, B)), 3.2); Equals(LengthOf(Line(A, D)), 1.1); Perpendicular(Line(A, D), Line(C, A)); "
}
] |
geometry3k/train/1308/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 12); Equals(LengthOf(Line(A, B)), 16); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Line(B, ... |
geometry3k/train/1309/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(2)), MeasureOf(Angle(A, C, B))); Equals(MeasureOf(Angle(B, C, E)), MeasureOf(Angle(1))); Equals(LengthOf(Line(A,... |
geometry3k/train/1312/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, P)), 10); Perpendicular(Line(S, R), Line(S, P)); PointLiesOnLine(S, Line(R, Q)); "
}
] |
geometry3k/train/1314/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, C)), 4x+12); Equals(MeasureOf(Angle(D, B, G)), 33); Equals(MeasureOf(Angle(B, C, X)), 57); Equals(MeasureOf(Ang... |
geometry3k/train/1315/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, H)), 7); Equals(LengthOf(Line(B, F)), x); Equals(LengthOf(Line(A, H)), 7); Equals(LengthOf(Line(A, F)), 5); Poi... |
geometry3k/train/1319/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(D, C)), x+4); Equals(LengthOf(Line(A, B)), 10); PointLiesOnLine(C, Line(A, D)); P... |
geometry3k/train/1320/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(G, Line(H, F)); PointLiesOnLine(J, Line(K, H)); "
}
] |
geometry3k/train/1323/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 8); Equals(LengthOf(Line(A, C)), 4); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(A, C), Line(B, A)... |
geometry3k/train/1324/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), 8.5); Equals(LengthOf(Line(M, K)), 5); Equals(LengthOf(Line(K, L)), 4); Perpendicular(Line(L, K), Line(M, ... |
geometry3k/train/1325/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), 12); "
}
] |
geometry3k/train/1328/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, A)), 3x+8); Equals(MeasureOf(Angle(C, A, B)), 2x+20); Equals(LengthOf(Line(A, C)), LengthOf(Line(A, B))); ... |
geometry3k/train/1330/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 2y+3); Equals(LengthOf(Line(E, A)), 2x+4); Equals(LengthOf(Line(D, A)), 3y+5); Equals(LengthOf(Line(B, A))... |
geometry3k/train/1335/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, E)), 3x); PointLiesOnLine(E, Line(D, B)); PointLiesOnLine(E, Line(A, C)); "
}
] |
geometry3k/train/1338/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), x); Equals(LengthOf(Line(E, D)), 9); Equals(LengthOf(Line(E, A)), 12); Perpendicular(Line(A, E), Line(D, E... |
geometry3k/train/1339/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, I)), 7); Equals(LengthOf(Line(H, B)), 3); "
}
] |
geometry3k/train/1340/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(W, V), Line(V, X)); Perpendicular(Line(R, T), Line(S, T)); PointLiesOnLine(T, Line(S, Y)); PointLiesOnLine(A, Line(Y... |
geometry3k/train/1341/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, D)), 101); Parallel(Line(D, C), Line(B, A)); Equals(LengthOf(Line(A, D)), LengthOf(Line(C, B))); "
}
] |
geometry3k/train/1344/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 36); Equals(LengthOf(Line(B, D)), w+4); Equals(LengthOf(Line(A, D)), 6); Equals(LengthOf(Line(C, D)), 24);... |
geometry3k/train/1345/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, I)), 15); Equals(LengthOf(Line(C, A)), 10); Equals(MeasureOf(Angle(I, C, A)), 45); "
}
] |
geometry3k/train/1347/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 21); Equals(LengthOf(Line(C, D)), 7); Perpendicular(Line(B, D), Line(A, B)); Perpendicular(Line(D, B), Lin... |
geometry3k/train/1350/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(K, L)), 21); Equals(LengthOf(Line(A, B)), 57); PointLiesOnLine(A, Line(K, J)); PointLiesOnLine(B, Line(M, L)); "
... |
geometry3k/train/1352/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 15); Equals(LengthOf(Line(A, C)), 3); Perpendicular(Line(A, C), Line(C, B)); "
}
] |
geometry3k/train/1353/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, E)), 8); Equals(LengthOf(Line(D, E)), 8); Perpendicular(Line(K, H), Line(D, K)); Perpendicular(Line(H, K), Line... |
geometry3k/train/1354/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, E)), 9); PointLiesOnLine(A, Line(H, G)); PointLiesOnLine(B, Line(H, E)); PointLiesOnLine(D, Line(G, F)); PointL... |
geometry3k/train/1355/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, C)), 5); "
}
] |
geometry3k/train/1357/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, T)), 13); Equals(LengthOf(Line(X, Y)), 7); Equals(MeasureOf(Angle(Z, X, Y)), 124); PointLiesOnLine(Y, Line(R, T... |
geometry3k/train/1359/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(P, Q, R)), 128); Equals(LengthOf(Line(S, P)), 3); Equals(LengthOf(Line(S, R)), 5); "
}
] |
geometry3k/train/1362/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 46); Equals(LengthOf(Line(B, A)), x); Equals(MeasureOf(Angle(D, C, A)), 73); Perpendicular(Line(D, C), Lin... |
geometry3k/train/1363/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, S)), 8); Equals(LengthOf(Line(R, Q)), 12); Equals(LengthOf(Line(R, S)), x); PointLiesOnLine(R, Line(A, S)); Poi... |
geometry3k/train/1365/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/1366/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(M, J, K)), 59); Equals(MeasureOf(Angle(M, L, K)), 67); Equals(LengthOf(Line(J, M)), LengthOf(Line(K, J))); Equal... |
geometry3k/train/1369/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), y); Equals(LengthOf(Line(C, B)), 3); Equals(MeasureOf(Angle(C, A, B)), 45); Equals(LengthOf(Line(A, C)), x... |
geometry3k/train/1371/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), 20); Equals(LengthOf(Line(B, A)), x); Equals(MeasureOf(Angle(C, A, B)), 45); Equals(LengthOf(Line(A, C)), ... |
geometry3k/train/1372/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, O, B)), 127); Equals(LengthOf(Line(B, A)), 5x); Equals(LengthOf(Line(D, C)), 3x+6); Equals(MeasureOf(Angle(D,... |
geometry3k/train/1374/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, N)), 16); Equals(LengthOf(Line(L, N)), 12); Equals(LengthOf(Line(L, M)), x); PointLiesOnLine(F, Line(L, M)); Po... |
geometry3k/train/1376/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, D)), 5x); Perpendicular(Line(D, E), Line(B, D)); PointLiesOnLine(D, Line(C, E)); PointLiesOnCircle(C, Circle(B,... |
geometry3k/train/1380/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(D, G), Line(G, F)); PointLiesOnLine(B, Line(G, E)); PointLiesOnLine(B, Line(D, F)); "
}
] |
geometry3k/train/1381/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Z, X, Y)), 2 * a); Equals(MeasureOf(Angle(Y, Z, X)), a/2); Perpendicular(Line(X, Y), Line(Z, Y)); "
}
] |
geometry3k/train/1382/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(W, B)), 8); Equals(LengthOf(Line(B, X)), s-7); Equals(LengthOf(Line(Y, B)), 6); Equals(LengthOf(Line(Z, B)), 2t-6)... |
geometry3k/train/1384/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, B)), 4); Equals(LengthOf(Line(A, D)), 12); Equals(LengthOf(Line(D, C)), 5.5); Equals(LengthOf(Line(C, A)), x); ... |
geometry3k/train/1388/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(K, J, M)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(J, K, L)), 28); Equals(MeasureOf(Angle(M, K, L)), 71); E... |
geometry3k/train/1389/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, B)), x); Equals(MeasureOf(Angle(D, A, C)), x); Equals(MeasureOf(Angle(D, A, B)), x); "
}
] |
geometry3k/train/1394/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, G)), 5); Equals(LengthOf(Line(D, G)), 6.5); Equals(LengthOf(Line(E, D)), 6.5); Perpendicular(Line(E, F), Line(F... |
geometry3k/train/1395/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(N, M)), 11); Equals(MeasureOf(Angle(P, N, M)), 120); Equals(MeasureOf(Angle(N, P, M)), MeasureOf(Angle(P, M, N)));... |
geometry3k/train/1399/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, P)), 3); Equals(MeasureOf(Angle(P, M, Q)), x); Equals(LengthOf(Line(M, Q)), 6); Equals(LengthOf(Line(P, Q)), 8)... |
geometry3k/train/1400/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 10); Perpendicular(Line(A, I), Line(C, A)); PointLiesOnCircle(A, Circle(N, radius_)); PointLiesOnCircle(C,... |
geometry3k/train/1405/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, C, F)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(F, C, A))); Equals(MeasureOf(Angle(... |
geometry3k/train/1407/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(P, L, Q)), 26); Equals(LengthOf(Line(J, P)), 20); Equals(MeasureOf(Angle(M, K, Q)), 29); Equals(LengthOf(Line(Q,... |
geometry3k/train/1408/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 9); Equals(LengthOf(Line(C, B)), 9); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(C, A)), 12); Pe... |
geometry3k/train/1414/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, R)), 6x+2); Equals(LengthOf(Line(R, T)), 4x+3); Equals(LengthOf(Line(W, R)), 12); Equals(LengthOf(Line(W, S)), ... |
geometry3k/train/1415/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, B, C)), 7x-8); Equals(MeasureOf(Angle(B, C, A)), 5y-3); Equals(MeasureOf(Angle(D, A, C)), 5x); Equals(Measure... |
geometry3k/train/1417/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(B, C)), 96); Equals(MeasureOf(Angle(C, A, B)), MeasureOf(Angle(1))); PointLiesOnCircle(A, Circle(D, radius_)); Poi... |
geometry3k/train/1418/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, I)), 16); Equals(LengthOf(Line(B, F)), 14); Equals(LengthOf(Line(H, I)), 12); Equals(LengthOf(Line(C, B)), 24);... |
geometry3k/train/1422/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), x); Equals(MeasureOf(Angle(J, K, L)), 152); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J,... |
geometry3k/train/1426/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, E, A)), 95); Equals(MeasureOf(Angle(A, F, D)), 120); PointLiesOnLine(E, Line(C, A)); PointLiesOnLine(E, Line(... |
geometry3k/train/1427/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, B)), 55); Equals(LengthOf(Line(E, C)), x+4); Equals(MeasureOf(Angle(E, A, D)), 60); Equals(MeasureOf(Angle... |
geometry3k/train/1430/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(L, M, N)), y+10); Equals(LengthOf(Line(Q, R)), 3x-9); Equals(LengthOf(Line(M, L)), 2x+11); Equals(MeasureOf(Angl... |
geometry3k/train/1435/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, Q)), x); Equals(LengthOf(Line(T, Q)), 20); Equals(LengthOf(Line(R, S)), 12); Equals(LengthOf(Line(T, P)), 16); ... |
geometry3k/train/1436/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(F, C, E)), 3x - 14); Equals(MeasureOf(Angle(N, X, A)), 2x+25); PointLiesOnLine(X, Line(C, A)); PointLiesOnLine(C... |
geometry3k/train/1437/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(P, Q), Line(N, M)); PointLiesOnLine(Q, Line(N, M)); "
}
] |
geometry3k/train/1440/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, D, B)), 6x); Equals(MeasureOf(Angle(Y, D, E)), 3x); Perpendicular(Line(D, A), Line(D, Y)); PointLiesOnLine(D,... |
geometry3k/train/1441/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(G, E, L)), 5x+2); Equals(MeasureOf(Angle(A, E, I)), 62); PointLiesOnLine(E, Line(A, G)); PointLiesOnLine(E, Line... |
geometry3k/train/1442/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, T)), 2y-8); Equals(LengthOf(Line(C, B)), y+13); Equals(MeasureOf(Angle(R, S, T)), 5x+20); Equals(MeasureOf(Angl... |
geometry3k/train/1443/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), 17); Equals(LengthOf(Line(B, C)), 14); Equals(LengthOf(Line(A, C)), x); PointLiesOnLine(F, Line(A, B)); Po... |
geometry3k/train/1445/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Y, Z)), 4x+5); Equals(MeasureOf(Angle(Z, W, Y)), 33); Equals(MeasureOf(Angle(Y, W, X)), 33); Equals(LengthOf(Line(... |
geometry3k/train/1449/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(W, A, X)), MeasureOf(Angle(11))); Equals(MeasureOf(Angle(7)), MeasureOf(Angle(Y, W, A))); Equals(MeasureOf(Angle... |
geometry3k/train/1450/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, S)), 21); Equals(LengthOf(Line(R, T)), 44); Perpendicular(Line(R, S), Line(S, T)); "
}
] |
geometry3k/train/1451/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(P, Line(Y, X)); "
}
] |
geometry3k/train/1454/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), 8); Equals(LengthOf(Line(A, B)), 4); Equals(LengthOf(Line(A, D)), 3); Equals(LengthOf(Line(E, D)), x); Poi... |
geometry3k/train/1457/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(P, K)), x+1); Equals(LengthOf(Line(K, J)), x+10); Equals(LengthOf(Line(M, K)), x+8); Equals(LengthOf(Line(L, K)), ... |
geometry3k/train/1458/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(C, A)), 14); Equals(MeasureOf(Angle(C, B, A)), 30); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/1459/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 19.6); Equals(LengthOf(Line(A, C)), 16.2); Equals(MeasureOf(Angle(C, B, A)), x); Equals(LengthOf(Line(B, A... |
geometry3k/train/1464/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 24); Equals(LengthOf(Line(A, X)), x); Equals(LengthOf(Line(B, C)), 7); PointLiesOnLine(X, Line(C, A)); Poi... |
geometry3k/train/1465/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(N, L)), 8); PointLiesOnLine(E, Line(N, M)); PointLiesOnLine(F, Line(L, N)); PointLiesOnLine(D, Line(L, M)); PointL... |
geometry3k/train/1468/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(P, C, E)), 57); Equals(MeasureOf(Angle(D, F, A)), 3x - 9); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(C, Li... |
geometry3k/train/1469/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(N, R)), 3); Equals(LengthOf(Line(R, M)), 6); Equals(LengthOf(Line(Q, R)), 10); Equals(LengthOf(Line(P, R)), x); Po... |
geometry3k/train/1473/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(F, Line(B, E)); PointLiesOnLine(F, Line(D, A)); "
}
] |
geometry3k/train/1474/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, F, G)), 60); Equals(MeasureOf(Angle(H, G, H)), 60); Equals(LengthOf(Line(G, H)), 12); "
}
] |
geometry3k/train/1477/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 34); Equals(MeasureOf(Angle(C, B, A)), 31); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Lin... |
geometry3k/train/1478/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, B)), x); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(MeasureOf(Angle(A, C, B)), x); "
}
] |
geometry3k/train/1479/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 20); Equals(LengthOf(Line(D, F)), 10); Equals(LengthOf(Line(D, E)), 15); Equals(LengthOf(Line(E, B)), 12);... |
geometry3k/train/1483/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, B)), 15); Equals(LengthOf(Line(B, T)), 15); Perpendicular(Line(B, U), Line(B, T)); PointLiesOnLine(B, Line(U, A... |
geometry3k/train/1484/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(B, A), Line(A, C)); Equals(LengthOf(Line(C, A)), LengthOf(Line(B, A))); Equals(LengthOf(Line(A, B)), 6\\sqrt{2}); Po... |
geometry3k/train/1487/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(C, B)), 14); Perpendicular(Line(A, B), Line(C, A)); "
}
] |
geometry3k/train/1488/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, E, A)), 120); Parallel(Line(G, F), Line(A, Z)); PointLiesOnLine(X, Line(E, C)); PointLiesOnLine(X, Line(F, G)... |
geometry3k/train/1491/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(N, L)), 36); Equals(LengthOf(Line(L, A)), 27); Equals(LengthOf(Line(A, B)), 40); Perpendicular(Line(N, L), Line(A,... |
geometry3k/train/1492/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(J, G, D)), 4x+4); Equals(MeasureOf(Angle(O, D, B)), x+1); Equals(MeasureOf(Angle(C, F, G)), 3x+3); Equals(Measur... |
geometry3k/train/1495/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, A, E)), 3x); Equals(MeasureOf(Angle(F, A, D)), 2x); Perpendicular(Line(A, H), Line(A, D)); PointLiesOnLine(A,... |
geometry3k/train/1496/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(7)), MeasureOf(Angle(G, C, D))); Equals(MeasureOf(Angle(D, G, C)), MeasureOf(Angle(8))); Equals(MeasureOf(Angle(... |
geometry3k/train/1497/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(K, F)), 12); Equals(LengthOf(Line(G, D)), 9); PointLiesOnLine(K, Line(H, D)); PointLiesOnLine(J, Line(D, F)); Poin... |
geometry3k/train/1499/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x-2); Equals(LengthOf(Line(D, A)), 10); Equals(LengthOf(Line(E, D)), 4); Equals(LengthOf(Line(B, C)), 5); ... |
geometry3k/train/1502/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 6); Equals(LengthOf(Line(B, E)), 5); Equals(LengthOf(Line(A, E)), x); PointLiesOnLine(E, Line(B, A)); Poin... |
geometry3k/train/1503/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(U, V)), 7); Equals(LengthOf(Line(U, X)), 12); PointLiesOnLine(A, Line(V, X)); PointLiesOnCircle(U, Circle(V, radiu... |
geometry3k/train/1506/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, E)), 4); Equals(LengthOf(Line(E, F)), 3); PointLiesOnLine(C, Line(D, F)); PointLiesOnCircle(E, Circle(F, radius... |
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