image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/val/2283/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, E)), 2x); Equals(MeasureOf(Angle(J, F, G)), 48); Equals(MeasureOf(Angle(M, E, H)), 82); Equals(MeasureOf(A... |
geometry3k/val/2285/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(V, X), Line(Z, Y)); PointLiesOnLine(X, Line(W, Y)); PointLiesOnLine(V, Line(W, Z)); "
}
] |
geometry3k/val/2298/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); "
}
] |
geometry3k/val/2299/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, I)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(A, C, H))); Equals(MeasureOf(Angle(... |
geometry3k/val/2300/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, O)), 8); Perpendicular(Line(A, B), Line(B, O)); Equals(LengthOf(Line(R, B)), LengthOf(Line(R, B))); Equals(Leng... |
geometry3k/val/2305/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, B, C)), 2x); Equals(MeasureOf(Angle(C, A, B)), 3x); Equals(MeasureOf(Angle(B, C, A)), 4x); "
}
] |
geometry3k/val/2307/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)), 3.0); Equals(MeasureOf(Angle(C, A, B)), 123); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C))... |
geometry3k/val/2308/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(LengthOf(Line(A, C)), 9\\sqrt{2}); Equals(LengthOf(Line(B, C)), 9\\sqrt{2}); Perpendicular(Line... |
geometry3k/val/2310/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)), 53); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C)), 32); Perpendicular(Line(A, C), Lin... |
geometry3k/val/2311/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(2)), MeasureOf(Angle(E, A, D))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(E, A, B))); Equals(MeasureOf(Angle(... |
geometry3k/val/2313/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)), 7); Equals(LengthOf(Line(A, B)), LengthOf(Line(B, C))); PointLiesOnLine(BD Line(C, A)); "
}
] |
geometry3k/val/2314/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); "
}
] |
geometry3k/val/2315/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(L, M)), 2y+6); Equals(MeasureOf(Angle(L, M, P)), 60); Equals(LengthOf(Line(M, P)), 4); Equals(LengthOf(Line(L, P))... |
geometry3k/val/2316/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(R, T, S)), 2x); Equals(MeasureOf(Angle(S, R, T)), x); PointLiesOnLine(B, Line(R, T)); PointLiesOnCircle(R, Circl... |
geometry3k/val/2322/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)), 7); Equals(LengthOf(Line(S, R)), 7); Perpendicular(Line(Q, S), Line(M, Q)); PointLiesOnLine(R, Line(N, P))... |
geometry3k/val/2323/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(C, Line(D, A)); PointLiesOnLine(B, Line(D, A)); PointLiesOnLine(C, Line(D, B)); PointLiesOnLine(B, Line(A, C)); "
}
] |
geometry3k/val/2325/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, G, C)), x); Equals(MeasureOf(Angle(D, G, C)), 36); PointLiesOnLine(G, Line(A, D)); PointLiesOnLine(G, Line(E,... |
geometry3k/val/2327/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, I)), 110); Equals(MeasureOf(Angle(B, G, C)), 4x+10); PointLiesOnLine(G, Line(A, B)); PointLiesOnLine(H, Li... |
geometry3k/val/2332/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, A)), 28); Equals(MeasureOf(Angle(D, B, E)), x); Equals(MeasureOf(Angle(D, B, A)), 28 ); Equals(MeasureOf(A... |
geometry3k/val/2333/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, E)); PointLiesOnLine(Q, Line(D, F)); "
}
] |
geometry3k/val/2334/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(A, B)), LengthOf(Line(C, B))); "
}
] |
geometry3k/val/2335/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, D)), 55); "
}
] |
geometry3k/val/2336/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)), 4); Equals(LengthOf(Line(A, D)), 6); Equals(LengthOf(Line(C, B)), x); Equals(LengthOf(Line(A, B)), x+3); E... |
geometry3k/val/2338/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, X)), 5); Equals(LengthOf(Line(T, S)), 6); "
}
] |
geometry3k/val/2341/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, W)), 8); Equals(LengthOf(Line(Y, W)), 8); Equals(MeasureOf(Angle(W, Y, X)), 4x-2); "
}
] |
geometry3k/val/2343/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)), 4.5); Equals(LengthOf(Line(B, D)), 8); Equals(LengthOf(Line(C, E)), 8); Equals(LengthOf(Line(E, B)), 10); ... |
geometry3k/val/2344/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(10)), MeasureOf(Angle(F, C, G))); Equals(MeasureOf(Angle(B, C, G)), MeasureOf(Angle(9))); Equals(MeasureOf(Angle... |
geometry3k/val/2349/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, F)), 70); Equals(LengthOf(Line(E, A)), x); Equals(MeasureOf(Angle(D, E, A)), 15); Equals(LengthOf(Line(D, ... |
geometry3k/val/2350/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(G, A)), 2b+5); Equals(LengthOf(Line(H, A)), 2w+3); Equals(LengthOf(Line(F, A)), 4w-7); Equals(LengthOf(Line(J, A))... |
geometry3k/val/2355/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, C)), x+15); Equals(MeasureOf(Angle(B, C, F)), 106); Equals(MeasureOf(Angle(A, D, G)), x-10); Equals(Measur... |
geometry3k/val/2359/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)), 2x+3); Equals(LengthOf(Line(T, R)), 4x-7); Perpendicular(Line(R, S), Line(S, T)); Equals(LengthOf(Line(T, ... |
geometry3k/val/2360/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)), 2x+3); Equals(LengthOf(Line(A, B)), 3x-9); Perpendicular(Line(E, G), Line(A, G)); Perpendicular(Line(X, E)... |
geometry3k/val/2361/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(E, B), Line(E, A)); Perpendicular(Line(E, B), Line(C, E)); PointLiesOnLine(E, Line(A, B)); PointLiesOnLine(E, Line(C... |
geometry3k/val/2362/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+10); Equals(LengthOf(Line(B, E)), x); Perpendicular(Line(E, B), Line(E, D)); PointLiesOnLine(E, Line(A, ... |
geometry3k/val/2363/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)), x); Equals(LengthOf(Line(A, F)), 2.7); Equals(LengthOf(Line(D, C)), 11.6); Equals(LengthOf(Line(B, E)), 13... |
geometry3k/val/2364/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)), 9); "
}
] |
geometry3k/val/2365/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)), 6); Equals(MeasureOf(Angle(A, C, B)), 58); Equals(MeasureOf(Angle(D, C, A)), 32); "
}
] |
geometry3k/val/2371/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(4)), MeasureOf(Angle(B, J, D))); Equals(MeasureOf(Angle(C, J, D)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/val/2372/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)), 10); Equals(LengthOf(Line(A, D)), 22); Equals(LengthOf(Line(B, X)), 8); Equals(LengthOf(Line(C, X)), x); P... |
geometry3k/val/2375/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)), 11); Equals(MeasureOf(Angle(A, E, D)), 32); Equals(MeasureOf(Angle(F, E, A)), 32); Perpendicular(Line(E, D... |
geometry3k/val/2376/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(M, H, N)), 40); Perpendicular(Line(F, M), Line(E, F)); Perpendicular(Line(M, B), Line(B, H)); Equals(LengthOf(Li... |
geometry3k/val/2380/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, I, A)), 3y+40); Equals(MeasureOf(Angle(C, D, A)), 120); Equals(MeasureOf(Angle(D, C, I)), x); Equals(MeasureO... |
geometry3k/val/2387/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)), 86); Equals(MeasureOf(Arc(A, D)), 134); PointLiesOnLine(H, Line(B, D)); PointLiesOnLine(H, Line(A, C)); Po... |
geometry3k/val/2393/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, S, Q)), 2y-12); Equals(LengthOf(Line(L, N)), 3x+5); Equals(LengthOf(Line(Q, S)), 2x+10); Equals(MeasureOf(Ang... |
geometry3k/val/2399/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, A)), 8\\sqrt{3}); Equals(MeasureOf(Angle(A, B, C)), 60); Equals(LengthOf(Line(... |
geometry3k/train/0/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, R)), x+21); Equals(MeasureOf(Angle(T, R, S)), 4y-10); Equals(MeasureOf(Angle(Z, X, Y)), 3y+5); Equals(LengthOf(... |
geometry3k/train/2/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, T)), 86); Equals(LengthOf(Line(R, S)), 54); Equals(LengthOf(Line(Q, A)), LengthOf(Line(R, A))); Equals(LengthOf... |
geometry3k/train/3/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, Z)), 23); Equals(MeasureOf(Angle(Z, W, X)), 112); Equals(LengthOf(Line(X, Y)), 23); Parallel(Line(W, X), Line(Y... |
geometry3k/train/4/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)), 10); Equals(LengthOf(Line(C, B)), x); Equals(LengthOf(Line(B, D)), 4); Equals(LengthOf(Line(A, B)), y); Eq... |
geometry3k/train/6/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)), 7\\sqrt{2}); Equals(LengthOf(Line(T, S)), 3\\sqrt{2}); Perpendicular(Line(T, S), Line(S, R)); "
}
] |
geometry3k/train/7/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{4}{7}); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(B, C)), \\frac{5}{7}); Perpendicular(... |
geometry3k/train/8/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, J)), 10); Perpendicular(Line(P, M), Line(P, K)); PointLiesOnLine(P, Line(N, M)); PointLiesOnLine(K, Line(J, P))... |
geometry3k/train/9/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, D)), 10x); Equals(MeasureOf(Arc(F, D)), 40); Equals(MeasureOf(Angle(F, C, D)), x); PointLiesOnLine(F, Line(C, B... |
geometry3k/train/11/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(Y, M), Line(M, A)); Perpendicular(Line(Z, N), Line(N, D)); PointLiesOnLine(N, Line(X, Z)); PointLiesOnLine(M, Line(X... |
geometry3k/train/12/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)), 5); Equals(LengthOf(Line(E, C)), 4.5); Equals(LengthOf(Line(C, A)), 7.5); Equals(LengthOf(Line(B, D)), x);... |
geometry3k/train/13/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)), 2x+3); Equals(LengthOf(Line(J, D)), 4y); Equals(LengthOf(Line(A, C)), 8y-36); Equals(LengthOf(Line(J, B)),... |
geometry3k/train/15/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); Equals(LengthOf(Line(A, C)), y); Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(B, C)), ... |
geometry3k/train/16/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(E, B), Line(D, C)); PointLiesOnLine(E, Line(D, A)); PointLiesOnLine(B, Line(C, A)); "
}
] |
geometry3k/train/17/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, N, M)), MeasureOf(Angle(P, Q, M))); Equals(MeasureOf(Angle(Q, P, N)), MeasureOf(Angle(N, M, Q))); "
}
] |
geometry3k/train/18/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)), 4x-17); Equals(MeasureOf(Angle(C, B, A)), 3y+3); Equals(LengthOf(Line(C, D)), 2x-1); Equals(MeasureOf(Angl... |
geometry3k/train/19/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)), 10); Equals(LengthOf(Line(A, B)), 8); Equals(MeasureOf(Angle(E, D, A)), x); Equals(LengthOf(Line(B, C)), 8... |
geometry3k/train/20/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(X, C, A)), y+58); Equals(MeasureOf(Angle(A, B, X)), 5y-6); Equals(MeasureOf(Angle(B, A, C)), 3x-17); Equals(Meas... |
geometry3k/train/21/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, J, K)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(A, J, E)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/22/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(I, F)), 7); Equals(LengthOf(Line(C, A)), LengthOf(Line(C, E))); Equals(LengthOf(Line(C, E)), LengthOf(Line(C, I)))... |
geometry3k/train/23/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, R)), 2x+7); Equals(LengthOf(Line(S, R)), 3x-5); Equals(LengthOf(Line(T, S)), 22); Equals(LengthOf(Line(T, R)), ... |
geometry3k/train/24/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(X, W, Z)), 105); Equals(LengthOf(Line(Y, X)), 24); Equals(LengthOf(Line(Z, Y)), 28); "
}
] |
geometry3k/train/25/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)), y); Equals(LengthOf(Line(B, A)), x); Equals(LengthOf(Line(B, D)), 9); Equals(LengthOf(Line(A, D)), 3\\sqrt... |
geometry3k/train/26/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)), x); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(LengthOf(Line(B, C)), 1... |
geometry3k/train/27/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(H, P), Line(P, M)); PointLiesOnLine(H, Line(J, K)); PointLiesOnLine(P, Line(L, M)); PointLiesOnLine(H, Line(K, J)); ... |
geometry3k/train/29/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)), 4.5); Equals(MeasureOf(Angle(S, R, T)), x); Equals(LengthOf(Line(T, S)), 3); Equals(LengthOf(Line(R, T)), ... |
geometry3k/train/31/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, C, E)), x); Equals(MeasureOf(Angle(E, C, A)), 2x); Equals(MeasureOf(Angle(D, C, A)), x); PointLiesOnLine(C, L... |
geometry3k/train/32/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, H)), MeasureOf(Angle(11))); Equals(MeasureOf(Angle(A, F, B)), MeasureOf(Angle(12))); "
}
] |
geometry3k/train/33/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(E, Line(D, B)); PointLiesOnLine(E, Line(A, C)); "
}
] |
geometry3k/train/34/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(O, A)), 3); Equals(MeasureOf(Angle(B, O, A)), 45); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(B, ... |
geometry3k/train/35/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(V, Line(Q, U)); PointLiesOnLine(S, Line(T, R)); "
}
] |
geometry3k/train/36/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, B, D)), 130); Equals(MeasureOf(Angle(C, B, A)), x); Equals(MeasureOf(Angle(C, B, D)), 95); PointLiesOnCircle(... |
geometry3k/train/38/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, A, B)), 60); Equals(LengthOf(Line(A, C)), 8); Equals(LengthOf(Line(C, B)), x... |
geometry3k/train/40/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)), 8); Equals(LengthOf(Line(C, B)), 8); Equals(LengthOf(Line(C, A)), 14); Equals(LengthOf(Line(B, X)), x); Pe... |
geometry3k/train/41/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(N, L, C)), 25); Equals(LengthOf(Line(M, N)), 4); Perpendicular(Line(N, M), Line(M, L)); Perpendicular(Line(L, P)... |
geometry3k/train/42/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(F, H)); PointLiesOnLine(J, Line(K, H)); "
}
] |
geometry3k/train/43/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, N)), 3x+2); Equals(LengthOf(Line(L, Q)), 12); Equals(LengthOf(Line(N, M)), 2y+5); Equals(LengthOf(Line(Q, R)), ... |
geometry3k/train/44/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)), 45); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(B, A)), 6); Perpendicular(Line(C, B)... |
geometry3k/train/45/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(Y, V, W)), 25); Equals(MeasureOf(Arc(Z, X)), 110); Equals(MeasureOf(Arc(Y, W)), x); PointLiesOnLine(Y, Line(B, V... |
geometry3k/train/46/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, J)), 11); Equals(MeasureOf(Angle(L, K, J)), 65); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J,... |
geometry3k/train/47/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)), 10); Equals(LengthOf(Line(Q, R)), 12); Equals(LengthOf(Line(R, Z)), x); Equals(LengthOf(Line(A, Z)), y); E... |
geometry3k/train/48/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(Y, Q, F)), 4x-5); Equals(MeasureOf(Angle(E, Y, Q)), 3y+1); Equals(MeasureOf(Angle(M, A, Q)), 3x+11); Parallel(Li... |
geometry3k/train/49/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(Y, X, A)), 33); Equals(MeasureOf(Angle(Z, X, W)), 82); PointLiesOnLine(A, Line(X, Z)); PointLiesOnLine(A, Line(W... |
geometry3k/train/50/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, H)), 2); Equals(LengthOf(Line(F, G)), 2.5); Equals(LengthOf(Line(H, F)), 4); Equals(LengthOf(Line(E, F)), 6); P... |
geometry3k/train/51/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(N, W, L)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(G, X, E)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/52/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)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(G, D, A)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/53/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, O, E)), 45); Perpendicular(Line(A, O), Line(O, C)); Perpendicular(Line(O, B), Line(O, E)); PointLiesOnLine(O,... |
geometry3k/train/54/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, H)), 12); Equals(LengthOf(Line(C, B)), 8); "
}
] |
geometry3k/train/55/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)), 10); Equals(LengthOf(Line(A, C)), 6); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Line(C, B... |
geometry3k/train/56/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, A, P)), 33); Equals(LengthOf(Line(A, B)), 10.9); Equals(LengthOf(Line(P, A)), 13); Equals(LengthOf(Line(P, E)... |
geometry3k/train/57/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(A, P), Line(D, P)); PointLiesOnLine(P, Line(A, C)); PointLiesOnLine(P, Line(D, B)); "
}
] |
geometry3k/train/58/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(A, D, E))); Equals(MeasureOf(Angle(E, F, B)), 63); Equals(MeasureOf(Angle(D, E, F)), 69); E... |
geometry3k/train/60/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)), 4); Equals(LengthOf(Line(D, B)), 9); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(D, C)), z); Equ... |
geometry3k/train/61/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, C)), 60); Equals(LengthOf(Line(C, A)), 10); Equals(LengthOf(Line(A, B)), 8); Equals(LengthOf(Line(B, C)), ... |
geometry3k/train/62/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(F, E), Line(E, C)); Perpendicular(Line(F, D), Line(D, A)); PointLiesOnLine(E, Line(B, C)); PointLiesOnLine(D, Line(B... |
geometry3k/train/63/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, E, D)), 2y); Equals(MeasureOf(Angle(E, D, F)), 110); Equals(MeasureOf(Angle(F, C, E)), 78); Equals(MeasureOf(... |
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