image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/946/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, W)), 14); Equals(LengthOf(Line(R, Z)), 18); Equals(LengthOf(Line(U, Z)), 5); PointLiesOnLine(Z, Line(S, U)); Po... |
geometry3k/train/949/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, D)), 3); Equals(LengthOf(Line(A, C)), 4); Perpendicular(Line(C, D), Line(A, C)); PointLiesOnLine(E, Line(D, A))... |
geometry3k/train/951/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)), 25); Equals(LengthOf(Line(B, A)), 15); Equals(LengthOf(Line(B, C)), 20); Perpendicular(Line(B, A), Line(C,... |
geometry3k/train/953/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, J)), 2x-5); Equals(LengthOf(Line(N, M)), 3x-9); Equals(LengthOf(Line(J, N)), x-2); "
}
] |
geometry3k/train/958/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(S, A)), 5); Equals(LengthOf(Line(Q, R)), 4); Equals(LengthOf(Line(S, T)), x); PointLiesOnLine(A, Line(Q, S)); Poin... |
geometry3k/train/962/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, D)), x+5); Equals(LengthOf(Line(B, D)), 2y+5); Equals(LengthOf(Line(A, C)), y+10); Equals(LengthOf(Line(B, A)),... |
geometry3k/train/964/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)), 3x-2); Equals(LengthOf(Line(A, D)), 4y+6); Equals(LengthOf(Line(B, C)), 6y-8); Equals(LengthOf(Line(B, A))... |
geometry3k/train/965/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(B, A)), 16); "
}
] |
geometry3k/train/966/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); Equals(LengthOf(Line(D, A)), x); Equals(LengthOf(Line(C, D)), 4); Equals(LengthOf(Line(B, D)), y); Pe... |
geometry3k/train/967/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(Y, Z)), LengthOf(Line(X, W))); Parallel(Line(X, Y), Line(W, Z)); PointLiesOnLine(P, Line(X, Z)); PointLiesOnLine(P... |
geometry3k/train/969/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(K, Line(G, J)); "
}
] |
geometry3k/train/971/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)), 32); Perpendicular(Line(H, B), Line(B, F)); Perpendicular(Line(C, F), Line(C, E)); Perpendicular(Line(D, G... |
geometry3k/train/973/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(D, E)), 98); Equals(MeasureOf(Angle(A, D, C)), 40); PointLiesOnLine(A, Line(C, E)); PointLiesOnLine(A, Line(D, F))... |
geometry3k/train/974/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(E, Line(A, C)); PointLiesOnLine(E, Line(D, B)); "
}
] |
geometry3k/train/975/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)), 12); Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(D, B)), x); Equals(LengthOf(Line(C, A)), 10); E... |
geometry3k/train/977/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(Z, Line(G, C)); PointLiesOnLine(Z, Line(C, F)); PointLiesOnLine(G, Line(F, C)); PointLiesOnLine(G, Line(F, Z)); PointLi... |
geometry3k/train/979/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, X)), 10); Equals(MeasureOf(Angle(Z, X, Y)), 130); PointLiesOnLine(X, Line(B, Z)); PointLiesOnCircle(Z, Circle(X... |
geometry3k/train/980/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(G, F)), x); Equals(LengthOf(Line(H, L)), 15); Equals(LengthOf(Line(J, K)), 18.2); PointLiesOnLine(H, Line(G, J)); ... |
geometry3k/train/981/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)), 7\\sqrt{2}); Equals(MeasureOf(Angle(C, B, A)), 45); Perpendicular(Line(A,... |
geometry3k/train/982/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(F, Line(C, E)); PointLiesOnLine(E, Line(A, B)); PointLiesOnLine(F, Line(D, A)); "
}
] |
geometry3k/train/983/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)), 40); Equals(MeasureOf(Angle(C, B, D)), 115); Equals(MeasureOf(Angle(C, A, B)), x); PointLiesOnLine(B,... |
geometry3k/train/984/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)), 12); Equals(MeasureOf(Angle(H, G, F)), 133); PointLiesOnCircle(H, Circle(G, radius_)); PointLiesOnCircle(F... |
geometry3k/train/987/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)), 40); Equals(LengthOf(Line(A, D)), 32); Equals(LengthOf(Line(B, A)), x); Perpendicular(Line(B, D), Line(D, ... |
geometry3k/train/989/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, D)), 7); Equals(LengthOf(Line(B, A)), 16); Equals(LengthOf(Line(E, A)), 6); Perpendicular(Line(F, B), Line(D, B... |
geometry3k/train/991/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)), z); Equals(LengthOf(Line(A, Y)), 17); Equals(LengthOf(Line(C, Y)), 6); Equals(LengthOf(Line(C, A)), x); Eq... |
geometry3k/train/992/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)), 17); Equals(LengthOf(Line(A, C)), 12); Equals(MeasureOf(Angle(A, B, C)), x); Perpendicular(Line(A, C), Lin... |
geometry3k/train/993/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)), 25); Equals(LengthOf(Line(B, C)), 15); Equals(LengthOf(Line(A, C)), x); Perpendicular(Line(B, C), Line(C, ... |
geometry3k/train/994/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, I, B)), 84); Equals(MeasureOf(Angle(B, I, G)), 24); Equals(MeasureOf(Angle(E, I, G)), x); Perpendicular(Line(... |
geometry3k/train/996/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)), x); Equals(MeasureOf(Angle(A, C, B)), 2x); PointLiesOnLine(C, Line(D, B)); "
}
] |
geometry3k/train/997/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(Q, P)), 25); Equals(LengthOf(Line(T, R)), x); Equals(LengthOf(Line(S, R)), 10); Equals(LengthOf(Line(S, Q)), 5); P... |
geometry3k/train/1000/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(Q, R)), 3y-1); Equals(LengthOf(Line(R, S)), y+11); Equals(LengthOf(Line(Q, S)), 4y-9); Equals(LengthOf(Line(Q, R))... |
geometry3k/train/1001/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(Z, G), Line(Y, G)); Perpendicular(Line(H, W), Line(H, X)); PointLiesOnLine(H, Line(X, G)); PointLiesOnLine(H, Line(X... |
geometry3k/train/1003/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(A, X, W)), 57); PointLiesOnLine(A, Line(X, Y)); PointLiesOnCircle(Y, Circle(A, radius_)); PointLiesOnCircle(X, C... |
geometry3k/train/1004/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)), 8); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(D, B)), z); Equ... |
geometry3k/train/1006/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)), 18); Equals(LengthOf(Line(A, B)), 24); Equals(LengthOf(Line(C, D)), 2x+1); Equals(LengthOf(Line(A, C)), 3x... |
geometry3k/train/1008/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, D)), 12); Equals(LengthOf(Line(D, B)), 3); PointLiesOnLine(D, Line(B, A)); "
}
] |
geometry3k/train/1010/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)), 20); Equals(LengthOf(Line(B, D)), 2x+1); Equals(MeasureOf(Angle(A, C, B)), 22); Equals(MeasureOf(Angle(C, ... |
geometry3k/train/1011/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, D)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(B, A, D))); Equals(MeasureOf(Angle(... |
geometry3k/train/1014/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(J, H, K)), 45); Equals(LengthOf(Line(J, H)), 10); Equals(MeasureOf(Angle(K, J, H)), 73); Equals(LengthOf(Line(K,... |
geometry3k/train/1016/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, D)), 10); Equals(LengthOf(Line(C, B)), 2x+4); Equals(LengthOf(Line(D, B)), x+2); Equals(LengthOf(Line(B, C)), L... |
geometry3k/train/1019/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, C)), 5); Equals(LengthOf(Line(C, D)), 4); Equals(LengthOf(Line(B, D)), 3); Perpendicular(Line(C, A), Line(C, B)... |
geometry3k/train/1020/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(A, E)), 2); Equals(LengthOf(Line(A, D)), 4); PointLiesOnLine(E, Line(B, A)); Poin... |
geometry3k/train/1021/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)), 18); Equals(LengthOf(Line(U, T)), y+2); Equals(LengthOf(Line(R, V)), x); Equals(LengthOf(Line(C, B)), 4); ... |
geometry3k/train/1023/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(A, C)); PointLiesOnLine(F, Line(B, D)); "
}
] |
geometry3k/train/1024/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, D)), 7); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(D, E)), 13); PointLiesOnLine(B, Line(D, C)); Poi... |
geometry3k/train/1025/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)), 4x); Equals(LengthOf(Line(R, S)), 2x+1); Equals(LengthOf(Line(Q, S)), 6x-1); "
}
] |
geometry3k/train/1026/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, N)), 2\\sqrt{2}); Equals(LengthOf(Line(C, B)), LengthOf(Line(B, N))); Equals(LengthOf(Line(N, E)), LengthOf(Lin... |
geometry3k/train/1028/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)), 3x+2); Equals(LengthOf(Line(T, R)), 2x+4); Equals(LengthOf(Line(S, R)), LengthOf(Line(T, R))); "
}
] |
geometry3k/train/1029/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(MeasureOf(Angle(C, B, A)), 29); Equals(MeasureOf(Angle(A, C, B)), 73); Equals(LengthOf(Line(C, ... |
geometry3k/train/1030/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, Y, X)), 120); Perpendicular(Line(W, X), Line(W, Z)); "
}
] |
geometry3k/train/1031/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, A, D)), 120); Equals(MeasureOf(Angle(A, D, C)), 85); Equals(LengthOf(Line(C, B)), LengthOf(Line(C, D))); Equa... |
geometry3k/train/1032/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, L)), 12); Perpendicular(Line(J, K), Line(M, K)); Equals(LengthOf(Line(M, J)), LengthOf(Line(M, L))); PointLiesO... |
geometry3k/train/1035/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, O, C)), 2x+41); Equals(MeasureOf(Angle(E, D, C)), 115); Equals(LengthOf(Line(D, C)), 3y+13); Equals(LengthOf(... |
geometry3k/train/1036/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)), 10); PointLiesOnCircle(B, Circle(A, radius_)); "
}
] |
geometry3k/train/1042/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)), 2y+5); Equals(LengthOf(Line(B, E)), y+3); Equals(LengthOf(Line(A, E)), 2x+6); Equals(LengthOf(Line(C, E)),... |
geometry3k/train/1044/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)), 25); Equals(LengthOf(Line(C, A)), 12); "
}
] |
geometry3k/train/1048/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(D, E), Line(B, E)); Equals(LengthOf(Line(D, A)), 10); Equals(LengthOf(Line(D, E)), 5); Equals(LengthOf(Line(C, D)), ... |
geometry3k/train/1050/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, D, G)), 78); Equals(MeasureOf(Angle(G, D, E)), x); PointLiesOnLine(D, Line(E, C)); "
}
] |
geometry3k/train/1052/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(S, R, Q)), 136); Equals(MeasureOf(Angle(S, T, Q)), 68); Equals(LengthOf(Line(S, R)), LengthOf(Line(R, Q))); Equa... |
geometry3k/train/1056/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)), 13); Equals(MeasureOf(Angle(C, E, A)), 18); Equals(MeasureOf(Angle(E, A, C)), 141); Equals(LengthOf(Line(E... |
geometry3k/train/1057/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, X, A)), 3x); Equals(MeasureOf(Angle(A, X, B)), 7x+10); Equals(MeasureOf(Angle(C, X, B)), 90); PointLiesOnCirc... |
geometry3k/train/1063/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, F, C)), 72); Equals(MeasureOf(Angle(D, F, A)), 2a-5); Equals(MeasureOf(Angle(D, F, C)), 4a-1); PointLiesOnCir... |
geometry3k/train/1064/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)), y); Equals(MeasureOf(Angle(C, B, A)), 45); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(C, B)), 7... |
geometry3k/train/1065/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(Y, Z)), 11.2); Equals(MeasureOf(Angle(Z, Y, X)), 55); PointLiesOnCircle(X, Circle(Y, radius_)); PointLiesOnCircle(... |
geometry3k/train/1066/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, L)), 4x-13); Equals(MeasureOf(Angle(W, Z, Y)), 44); Equals(MeasureOf(Angle(Y, W, Z)), 71); Equals(MeasureO... |
geometry3k/train/1067/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)), x); Equals(MeasureOf(Angle(C, A, B)), 20); Equals(MeasureOf(Angle(A, C, B)), 135); Equals(LengthOf(Line(C,... |
geometry3k/train/1070/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)), y); Equals(LengthOf(Line(D, A)), z); Equals(LengthOf(Line(C, B)), 12); Eq... |
geometry3k/train/1072/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)), 37.5); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C)), 20); Perpendicular(Line(A, B), Line(C... |
geometry3k/train/1073/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, E)), 45); Equals(MeasureOf(Angle(D, E, B)), 45); Equals(MeasureOf(Angle(D, B, F)), 45); Equals(MeasureOf(A... |
geometry3k/train/1076/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(A, B)), 75); Equals(LengthOf(Line(B, C)), 40); Perpendicular(Line(A, B), Line(C, ... |
geometry3k/train/1077/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)), 30); Equals(LengthOf(Line(C, A)), 16); Perpendicular(Line(A, B), Line(A, C)); PointLiesOnLine(D, Line(C, B... |
geometry3k/train/1078/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)), 4); Equals(LengthOf(Line(H, K)), 5); Equals(LengthOf(Line(L, K)), x); Equals(LengthOf(Line(H, N)), 2); Poi... |
geometry3k/train/1081/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)), 43); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(A, D)), 4); Equals(LengthOf(Line(D, B)), 6); Eq... |
geometry3k/train/1083/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)), 13); Equals(LengthOf(Line(A, C)), 10); Equals(MeasureOf(Angle(D, B, C)), 45); "
}
] |
geometry3k/train/1087/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(Cirle(A))), 12); PointLiesOnCircle(B, Circle(A, radius_)); PointLiesOnCircle(C, Circle(A, radius_)); PointLi... |
geometry3k/train/1088/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(Y, W, X)), 52); Equals(MeasureOf(Angle(W, X, Y)), 6y-2); Equals(MeasureOf(Angle(W, Y, X)), 4x+20); Equals(Length... |
geometry3k/train/1089/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, C)), 4.5); Equals(MeasureOf(Angle(E, M, A)), 4x+1); Equals(MeasureOf(Angle(D, M, A)), 5x-5); Equals(LengthOf(Li... |
geometry3k/train/1090/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)), \\frac{8}{9}); Equals(LengthOf(Line(B, C)), \\frac{4}{9}); Equals(LengthOf(Line(A, C)), x); Perpendicular(... |
geometry3k/train/1091/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)), x); Equals(MeasureOf(Angle(D, B, A)), y); Equals(LengthOf(Line(B, A)), 17); Perpendicular(Line(B, D), Line... |
geometry3k/train/1092/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)), x); Equals(LengthOf(Line(C, D)), 12); Equals(LengthOf(Line(B, A)), 12); PointLiesOnLine(B, Line(A, C)); Po... |
geometry3k/train/1094/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)), 2); Equals(MeasureOf(Angle(C, B, A)), 98); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(C, ... |
geometry3k/train/1095/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(T, U)), x+2); Equals(LengthOf(Line(U, V)), 3); Equals(LengthOf(Line(T, S)), 4); Equals(LengthOf(Line(S, R)), 2x); ... |
geometry3k/train/1096/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, G)), a); Equals(LengthOf(Line(A, F)), 12); Equals(LengthOf(Line(G, D)), 12); Equals(LengthOf(Line(A, D)), 12); ... |
geometry3k/train/1097/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)), x); Equals(LengthOf(Line(B, C)), 8); Perpendicular(Line(A, C), Line(C, B... |
geometry3k/train/1098/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, Q)), 5); Equals(LengthOf(Line(O, N)), 3+\\frac{3}{5}); Equals(LengthOf(Line(N, M)), 6); Parallel(Line(P, O), Li... |
geometry3k/train/1099/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(T, W)), x); Equals(MeasureOf(Angle(S, W, T)), 63); Equals(MeasureOf(Angle(T, S, W)), 31); Equals(LengthOf(Line(W, ... |
geometry3k/train/1100/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)), LengthOf(Line(V, U))); Equals(MeasureOf(Arc(N, V)), 5x-27); Equals(MeasureOf(Arc(S, M)), 2x); PointLiesOnC... |
geometry3k/train/1101/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)), 5); Equals(LengthOf(Line(D, B)), 10); PointLiesOnLine(G, Line(A, C)); PointLiesOnLine(F, Line(C, B)); Poin... |
geometry3k/train/1102/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(T, M)), 15); Equals(LengthOf(Line(T, P)), x); Equals(LengthOf(Line(Q, T)), 8); Equals(LengthOf(Line(Q, N)), 4); Po... |
geometry3k/train/1103/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, B)), 5); Equals(LengthOf(Line(A, B)), x-2); Equals(LengthOf(Line(A, D)), x); Equals(LengthOf(Line(D, G)), 75); ... |
geometry3k/train/1106/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)), 8); Equals(LengthOf(Line(B, C)), 10); Equals(LengthOf(Line(D, C)), 9); Equals(LengthOf(Line(E, D)), x); Po... |
geometry3k/train/1107/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, C)), 70); Equals(LengthOf(Line(D, B)), 70); Equals(MeasureOf(Angle(E, D, C)), 60); Perpendicular(Line(E, C), Li... |
geometry3k/train/1108/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(Q, V)), 5); Equals(LengthOf(Line(R, T)), 3); Equals(LengthOf(Line(T, S)), 12); Equals(LengthOf(Line(S, V)), x); Pe... |
geometry3k/train/1109/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, D)), 155); Equals(MeasureOf(Angle(A, B, D)), 125); Equals(MeasureOf(Angle(A, B, C)), x); PointLiesOnCircle... |
geometry3k/train/1111/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)), y); Equals(LengthOf(Line(C, A)), 8); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(LengthOf(Line(C, B)), x... |
geometry3k/train/1112/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)), 8); Equals(LengthOf(Line(T, S)), 12); Perpendicular(Line(R, S), Line(S, T)); "
}
] |
geometry3k/train/1115/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)), 10); Equals(LengthOf(Line(I, A)), 10); Equals(LengthOf(Line(D, I)), 13); Equals(LengthOf(Line(I, B)), 13);... |
geometry3k/train/1119/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, D)), x); Equals(MeasureOf(Arc(A, C)), 68); Equals(MeasureOf(Arc(D, F)), 24); PointLiesOnLine(D, Line(A, B)... |
geometry3k/train/1121/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, N)), 4); PointLiesOnCircle(N, Circle(A, radius_)); "
}
] |
geometry3k/train/1122/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, M)), 8); Equals(LengthOf(Line(M, K)), 16); Perpendicular(Line(M, K), Line(L, M)); Perpendicular(Line(M, L), Lin... |
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