image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/314/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)), x); Equals(LengthOf(Line(E, C)), x+3); Equals(LengthOf(Line(D, E)), x+10); Equals(LengthOf(Line(E, A)), x+... |
geometry3k/train/315/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)), 8); Equals(LengthOf(Line(Q, R)), 4); Equals(LengthOf(Line(J, K)), 6); Equals(LengthOf(Line(L, K)), 12); Eq... |
geometry3k/train/316/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(E, D)), x-4); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(E, F)), 3); Equals(LengthOf(Line(B, C)), 5); E... |
geometry3k/train/317/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); Equals(LengthOf(Line(A, B)), 7); Equals(LengthOf(Line(A, C)), x); Perpendicular(Line(A, B), Line(C, A... |
geometry3k/train/318/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(R, Q, S)), 33); Equals(LengthOf(Line(R, P)), y+4); Equals(MeasureOf(Angle(T, Q, S)), 95); Equals(LengthOf(Line(T... |
geometry3k/train/320/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)), 8); Equals(LengthOf(Line(D, H)), x); Equals(MeasureOf(Angle(B, A, D)), 30); Equals(MeasureOf(Angle(C, B, A... |
geometry3k/train/321/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, G)), 10); Equals(LengthOf(Line(E, G)), 10); PointLiesOnLine(E, Line(D, F)); PointLiesOnLine(B, Line(C, A)); Poi... |
geometry3k/train/322/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(B, Line(U, V)); PointLiesOnLine(A, Line(S, R)); "
}
] |
geometry3k/train/323/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, E)), x+7); Equals(LengthOf(Line(E, C)), 9); Equals(LengthOf(Line(E, F)), x); Equals(LengthOf(Line(B, E)), 4); P... |
geometry3k/train/324/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(DiameterOf(Circle(C))), 12); PointLiesOnLine(C, Line(A, B)); PointLiesOnLine(C, Line(E, H)); PointLiesOnLine(C, Line(F,... |
geometry3k/train/325/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(N, Line(R, A)); PointLiesOnLine(M, Line(V, T)); "
}
] |
geometry3k/train/327/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(G, C), Line(G, D)); PointLiesOnLine(G, Line(D, A)); PointLiesOnLine(G, Line(F, B)); PointLiesOnCircle(D, Circle(G, r... |
geometry3k/train/328/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(W, Y)), 40); Equals(LengthOf(Line(Z, W)), 3x-6); Equals(LengthOf(Line(U, Y)), 32); Equals(LengthOf(Line(Z, U)), x+... |
geometry3k/train/331/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)), 36); Equals(LengthOf(Line(N, P)), 15); Equals(LengthOf(Line(M, N)), 39); Perpendicular(Line(M, P), Line(P,... |
geometry3k/train/332/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, E)), 2); Equals(LengthOf(Line(E, C)), 5); Equals(LengthOf(Line(D, E)), 4); Equals(LengthOf(Line(B, E)), x); Poi... |
geometry3k/train/333/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, H, K)), 6y+10); Equals(MeasureOf(Angle(H, I, M)), 8x-12); Equals(MeasureOf(Angle(D, I, G)), 4x); PointLiesOnL... |
geometry3k/train/335/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, C, D)), 66); Equals(MeasureOf(Angle(C, D, A)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(B, D, A)), Measur... |
geometry3k/train/336/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(S, U, V)), 2x+15); Equals(MeasureOf(Angle(S, T, B)), 3x-5); PointLiesOnLine(B, Line(V, T)); PointLiesOnLine(B, L... |
geometry3k/train/337/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, A, B)), MeasureOf(Angle(6))); Equals(MeasureOf(Angle(C, B, A)), 36); Equals(MeasureOf(Angle(E, B, D)), 42); E... |
geometry3k/train/339/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(D, A, B)), 74); Equals(MeasureOf(Angle(B, C, D)), x); Equals(MeasureOf(Angle(A, D, C)), 105); Equals(LengthOf(Li... |
geometry3k/train/340/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, A)), 12); Equals(LengthOf(Line(D, E)), 24); Equals(LengthOf(Line(C, E)), 24); Equals(LengthOf(Line(E, B)), x); ... |
geometry3k/train/341/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)), y+3); Equals(LengthOf(Line(T, S)), 49); Equals(LengthOf(Line(R, S)), x); Equals(LengthOf(Line(V, W)), 20);... |
geometry3k/train/343/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, D)), 3); PointLiesOnLine(F, Line(A, C)); PointLiesOnLine(I, Line(A, E)); PointLiesOnLine(B, Line(D, E)); PointL... |
geometry3k/train/345/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(K, G, L)), x); Equals(MeasureOf(Arc(H, J)), 47); Equals(MeasureOf(Arc(K, L)), 116); PointLiesOnLine(G, Line(J, L... |
geometry3k/train/346/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(Q, Line(A, R)); PointLiesOnLine(P, Line(R, A)); PointLiesOnLine(Q, Line(P, R)); PointLiesOnLine(R, Line(A, B)); PointLi... |
geometry3k/train/348/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, C)), x-3); Equals(LengthOf(Line(B, C)), 4x-21); Equals(LengthOf(Line(B, A)), 2x-7); "
}
] |
geometry3k/train/349/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)), z); Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(C, X)), 36); Equals(LengthOf(Line(A, B)), 6x); P... |
geometry3k/train/352/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, A, C)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(E, A, B))); Equals(MeasureOf(Angle(... |
geometry3k/train/353/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, C)), 7); Equals(LengthOf(Line(A, B)), 5); Equals(LengthOf(Line(B, C)), 6); Equals(LengthOf(Line(E, D)), 3); "
... |
geometry3k/train/354/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(A, C)), 14); Equals(MeasureOf(Angle(C, A, B)), 30); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/356/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, E)), 3x); Equals(LengthOf(Line(A, F)), 10z-40); Equals(LengthOf(Line(B, E)), 4y); Equals(LengthOf(Line(D, A)), ... |
geometry3k/train/357/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(C, B)), y); Equals(LengthOf(Line(C, D)), 2\\sqrt{3}); Equals(LengthOf(Line(D, B)), x); Equals(LengthOf(Line(D, A))... |
geometry3k/train/358/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, F, E)), 2x); Equals(MeasureOf(Angle(B, E, C)), 40); Equals(MeasureOf(Angle(D, E, F)), y); Equals(MeasureOf(An... |
geometry3k/train/360/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(K, G), Line(E, G)); Perpendicular(Line(K, A), Line(A, H)); Perpendicular(Line(F, E), Line(N, F)); Perpendicular(Line... |
geometry3k/train/361/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)), 8); Equals(LengthOf(Line(B, D)), 25); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(C, D)), z); Eq... |
geometry3k/train/362/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, C, B)), 105); Equals(MeasureOf(Angle(C, I, K)), x); Equals(MeasureOf(Angle(K, N, F)), 125); Parallel(Line(F, ... |
geometry3k/train/363/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(C, A)), 24); Equals(LengthOf(Line(C, B)), 10); Equals(LengthOf(Line(A, B)), 26); Perpendicular(Line(C, A), Line(B,... |
geometry3k/train/364/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(D, B)); PointLiesOnLine(P, Line(A, C)); "
}
] |
geometry3k/train/365/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)), 3); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(A, B)), h); Perpendicular(Line(B, C), Line... |
geometry3k/train/366/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(E, A)), x-1); Equals(LengthOf(Line(D, C)), 5); Equals(LengthOf(Line(A, B)), 2); Equals(LengthOf(Line(D, E)), x+5);... |
geometry3k/train/368/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)), 23); Equals(MeasureOf(Angle(E, D, B)), 45); Equals(LengthOf(Line(E, D)), 5); Perpendicular(Line(E, A), Lin... |
geometry3k/train/369/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, F, D)), 3x); Equals(MeasureOf(Angle(B, F, C)), 6x); Equals(MeasureOf(Angle(A, F, E)), 12y-10); PointLiesOnLin... |
geometry3k/train/373/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)), 48); Equals(LengthOf(Line(A, C)), 20); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, B), Line(C, ... |
geometry3k/train/374/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)), 18); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(B, A, C)), 45); Perpendicular(Line(B, C), Lin... |
geometry3k/train/375/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, L, M)), 6x+8); Equals(MeasureOf(Angle(K, L, M)), 9x-4); Perpendicular(Line(J, M), Line(L, J)); Perpendicular(... |
geometry3k/train/376/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)), 15); Equals(LengthOf(Line(P, Q)), 6); Equals(LengthOf(Line(P, S)), x); Equals(LengthOf(Line(T, P)), 4); Po... |
geometry3k/train/378/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, E)), 14); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(A, D)), 7); PointLiesOnLine(D, Line(A, B)); Poi... |
geometry3k/train/379/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, A)), 26); Equals(LengthOf(Line(E, F)), 8); Equals(MeasureOf(Angle(F, G, A)), 108); Equals(LengthOf(Line(D, A)),... |
geometry3k/train/380/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, X, Y)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(T, X, Z)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/382/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)), x); Equals(LengthOf(Line(C, A)), y); Equals(LengthOf(Line(A, B)), 32); Equals(MeasureOf(Angle(C, A, B)), 6... |
geometry3k/train/383/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)), 4); Equals(LengthOf(Line(C, D)), 2); Equals(LengthOf(Line(B, E)), 3); Equals(LengthOf(Line(A, E)), x); Poi... |
geometry3k/train/384/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": "PointLiesOnLine(D, Line(C, B)); PointLiesOnLine(S, Line(B, C)); PointLiesOnLine(D, Line(S, C)); PointLiesOnLine(S, Line(B, D)); PointLi... |
geometry3k/train/386/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(E, B, C)), 60); Equals(LengthOf(Line(A, E)), y); Equals(LengthOf(Line(B, C)), LengthOf(a)); Equals(MeasureOf(Ang... |
geometry3k/train/388/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(T, S), Line(Q, R)); PointLiesOnLine(T, Line(P, Q)); PointLiesOnLine(S, Line(R, P)); "
}
] |
geometry3k/train/389/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, U)), 9); Equals(LengthOf(Line(J, V)), 3); Equals(LengthOf(Line(S, T)), LengthOf(Line(U, T))); Equals(LengthOf(L... |
geometry3k/train/391/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, E)), 6); Equals(LengthOf(Line(C, B)), 15); Equals(LengthOf(Line(D, A)), 10); Equals(LengthOf(Line(D, E)), 3x-2)... |
geometry3k/train/393/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(Q, Line(W, A)); PointLiesOnLine(X, Line(W, P)); PointLiesOnLine(P, Line(H, A)); PointLiesOnLine(X, Line(Q, H)); "
}
] |
geometry3k/train/398/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(U, Line(T, P)); PointLiesOnLine(A, Line(T, R)); PointLiesOnLine(Q, Line(P, R)); "
}
] |
geometry3k/train/399/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, M)), 8); Perpendicular(Line(H, J), Line(J, K)); PointLiesOnLine(J, Line(M, H)); PointLiesOnLine(F, Line(H, M));... |
geometry3k/train/400/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)), 2\\sqrt{3}); Equals(MeasureOf(Angle(C, A, B)), 30); Equals(LengthOf(Line(A, Y)), x); Equals(LengthOf(Line(... |
geometry3k/train/401/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(E, F)), 8); Equals(LengthOf(Line(A, B)), x+1); Equals(LengthOf(Line(C, D)), x-1); Equals(LengthOf(Line(H, G)), 5);... |
geometry3k/train/403/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, A)), 8); Equals(LengthOf(Line(C, D)), 4); Equals(LengthOf(Line(E, D)), 6); Equals(LengthOf(Line(R, S)), 3); Equ... |
geometry3k/train/405/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, L)), 7); Equals(MeasureOf(Angle(K, L, M)), 92); PointLiesOnCircle(M, Circle(L, radius_)); "
}
] |
geometry3k/train/409/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(S, Y), Line(P, S)); Perpendicular(Line(Y, S), Line(A, Y)); Perpendicular(Line(Q, A), Line(S, Q)); PointLiesOnLine(S,... |
geometry3k/train/410/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(W, Y)), 143); Equals(MeasureOf(Arc(Y, Z)), 2x-1); Equals(LengthOf(Line(W, Y)), 18); Equals(LengthOf(Line(Y, Z)), 1... |
geometry3k/train/413/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, A)), 121); Equals(MeasureOf(Angle(D, C, B)), x); Equals(MeasureOf(Angle(B, C, A)), 125); PointLiesOnCircle... |
geometry3k/train/414/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(D, E), Line(B, A)); PointLiesOnLine(E, Line(C, B)); PointLiesOnLine(D, Line(A, C)); "
}
] |
geometry3k/train/415/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, D, A)), 92); Equals(LengthOf(Line(C, B)), LengthOf(Line(C, A))); Equals(LengthOf(Line(C, D)), LengthOf(Line(D... |
geometry3k/train/416/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": "PointLiesOnCircle(S, Circle(D, radius_)); PointLiesOnCircle(Q, Circle(D, radius_)); PointLiesOnCircle(T, Circle(D, radius_)); "
}
] |
geometry3k/train/417/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)), 54); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(B, A, C)), 64); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/418/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, B)), x); Equals(LengthOf(Line(B, A)), y); Equals(LengthOf(Line(A, F)), z); Equals(LengthOf(Line(L, F)), 2\\sqrt... |
geometry3k/train/419/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)), 16); Equals(LengthOf(Line(B, C)), 30); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(A, C), Line(C, ... |
geometry3k/train/422/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)), 4x-17); Equals(MeasureOf(Angle(C, B, F)), 3y+5); Equals(MeasureOf(Angle(D, F, B)), 5y-13); Equals(LengthOf... |
geometry3k/train/423/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)), 17); Equals(LengthOf(Line(D, E)), 8); Equals(LengthOf(Line(A, C)), 21); Perpendicular(Line(A, C), Line(A, ... |
geometry3k/train/424/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(J, Line(L, N)); PointLiesOnLine(J, Line(P, M)); "
}
] |
geometry3k/train/425/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(F, B, A)), 48); Equals(MeasureOf(Angle(B, A, F)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(D, F, C)), Measur... |
geometry3k/train/427/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, T)), x); Equals(LengthOf(Line(C, U)), x); Equals(LengthOf(Line(A, S)), 3); Equals(LengthOf(Line(D, R)), 3); Poi... |
geometry3k/train/428/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(MeasureOf(Angle(C, D, A)), 45); "
}
] |
geometry3k/train/429/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)), 3); PointLiesOnCircle(A, Circle(B, radius_)); "
}
] |
geometry3k/train/430/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)), 18); Equals(LengthOf(Line(A, C)), x); Equals(MeasureOf(Angle(A, B, C)), 25); Perpendicular(Line(A, B), Lin... |
geometry3k/train/431/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)), 8.5); Equals(MeasureOf(Angle(E, H, D)), 45); Equals(LengthOf(Line(G, H)), 15); Perpendicular(Line(D, G), L... |
geometry3k/train/433/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(R, Q), Line(T, P)); PointLiesOnLine(P, Line(S, Q)); PointLiesOnLine(T, Line(R, S)); "
}
] |
geometry3k/train/434/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, F, C)), 3x-15); Equals(MeasureOf(Angle(F, C, A)), y^{2}); Equals(MeasureOf(Angle(C, A, F)), 68); Equals(Measu... |
geometry3k/train/435/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(C, D), Line(B, F)); Parallel(Line(D, F), Line(C, B)); PointLiesOnLine(D, Line(C, E)); PointLiesOnLine(F, Line(E, A)); Poi... |
geometry3k/train/436/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(Q, S, R)), 48); Perpendicular(Line(P, S), Line(P, Q)); Perpendicular(Line(S, R), Line(R, Q)); Equals(LengthOf(Li... |
geometry3k/train/437/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(K, A)), 4x); Equals(LengthOf(Line(G, C)), 2x); Equals(LengthOf(Line(H, A)), x); Equals(LengthOf(Line(C, H)), x); P... |
geometry3k/train/439/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, C)), 12); Equals(LengthOf(Line(A, S)), x); Equals(LengthOf(Line(R, S)), 6); Equals(LengthOf(Line(S, B)), 7); Eq... |
geometry3k/train/440/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)), 15); Equals(LengthOf(Line(A, C)), 9); Equals(LengthOf(Line(B, C)), 12); Perpendicular(Line(A, C), Line(C, ... |
geometry3k/train/441/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)), 6); Equals(LengthOf(Line(A, D)), LengthOf(Line(C, A))); Equals(LengthOf(Line(D, C)), LengthOf(Line(A, D)))... |
geometry3k/train/442/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, A, F)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(C, F, A)), 70); Equals(MeasureOf(Angle(C, E, B)), Measur... |
geometry3k/train/443/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, B, M)), 2x); Equals(MeasureOf(Angle(H, F, C)), x+10); Equals(MeasureOf(Angle(B, E, G)), x); Equals(MeasureOf(... |
geometry3k/train/444/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)), \\frac{3}{2}x+11); Equals(LengthOf(Line(D, B)), 3y-9); Equals(LengthOf(Line(A, D)), x+2); Equals(LengthOf(... |
geometry3k/train/445/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, C)), 15); Equals(LengthOf(Line(D, A)), 6); Equals(LengthOf(Line(B, A)), 17); Perpendicular(Line(D, A), Line(D, ... |
geometry3k/train/446/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, A, D)), 20); Equals(LengthOf(Line(A, D)), 9); Equals(MeasureOf(Angle(B, A, F)), 32); Equals(LengthOf(Line(A, ... |
geometry3k/train/448/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, B, E)), 26); Equals(MeasureOf(Arc(E, F)), x); Equals(MeasureOf(Arc(C, D)), 89); PointLiesOnLine(F, Line(B, C)... |
geometry3k/train/450/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(A, C)), x); Equals(MeasureOf(Angle(A, C, B)), 58); Equals(MeasureOf(Angle(A, B, C... |
geometry3k/train/453/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(B, C, A)), 130); Equals(MeasureOf(Angle(B, C, D)), 60); Equals(MeasureOf(Angle(D, C, A)), x); PointLiesOnCircle(... |
geometry3k/train/454/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": "PointLiesOnLine(B, Line(M, E)); PointLiesOnLine(B, Line(N, P)); PointLiesOnLine(P, Line(N, G)); PointLiesOnLine(B, Line(N, G)); PointLi... |
geometry3k/train/455/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)), x); Equals(LengthOf(Line(A, C)), 9); Equals(LengthOf(Line(A, B)), 18); Perpendicular(Line(B, C), Line(C, A... |
geometry3k/train/456/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, A)), 13); Equals(LengthOf(Line(A, D)), 11); Equals(LengthOf(Line(B, E)), x); Perpendicular(Line(B, C), Line(A, ... |
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