image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
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(F, E)), 8); Equals(MeasureOf(Angle(A, G, F)), 108); Equals(LengthOf(Line(A, D)),... |
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(1)), MeasureOf(Angle(Y, X, W))); Equals(MeasureOf(Angle(Z, X, T)), 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(C, B)), 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(B, C)); 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(C, B, E)), 60); Equals(LengthOf(Line(A, E)), y); Equals(LengthOf(Line(C, B)), 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(P, R)); "
}
] |
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(U, T)), LengthOf(Line(T, S))); 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(E, B)), 6); Equals(LengthOf(Line(B, C)), 15); Equals(LengthOf(Line(A, D)), 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(H, Q)); "
}
] |
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(R, P)); "
}
] |
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(M, F)), 8); Perpendicular(Line(H, J), Line(J, K)); PointLiesOnLine(J, Line(H, M)); PointLiesOnLine(F, Line(M, H));... |
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(Y, A)), 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(F, E)), 8); Equals(LengthOf(Line(A, B)), x+1); Equals(LengthOf(Line(D, C)), x-1); Equals(LengthOf(Line(G, H)), 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(D, E)), 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(M, L, K)), 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(S, P)); Perpendicular(Line(Y, S), Line(Y, A)); Perpendicular(Line(S, Q), Line(Q, A)); 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(Z, Y)), 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(A, C, B)), 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(C, A)); "
}
] |
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(A, D, B)), 92); Equals(LengthOf(Line(A, C)), LengthOf(Line(C, B))); Equals(LengthOf(Line(D, A)), 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(A, B)), ... |
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(F, L)), 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(B, ... |
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(A, D)), 17); Equals(LengthOf(Line(D, E)), 8); Equals(LengthOf(Line(C, A)), 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(M, P)); "
}
] |
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(1)), MeasureOf(Angle(B, A, F))); Equals(MeasureOf(Angle(2)), MeasureOf(An... |
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(S, A)), 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(A, D, C)), 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(A, B)), 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(H, G)), 15); Perpendicular(Line(G, D), 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(S, R)); "
}
] |
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(C, F, A)), 3x-15); Equals(MeasureOf(Angle(A, C, F)), y^{2}); Equals(MeasureOf(Angle(F, A, C)), 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(F, B), Line(D, C)); Parallel(Line(C, B), Line(D, F)); PointLiesOnLine(D, Line(E, C)); PointLiesOnLine(F, Line(A, E)); 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(R, S, Q)), 48); Perpendicular(Line(P, S), Line(P, Q)); Perpendicular(Line(Q, R), Line(R, S)); 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(H, C)), 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(C, A)), 12); Equals(LengthOf(Line(S, A)), x); Equals(LengthOf(Line(S, R)), 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(B, ... |
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(A, C))); Equals(LengthOf(Line(A, D)), LengthOf(Line(C, 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(F, A, D)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(A, F, C)), 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(M, B, F)), 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(B, D)), 3y-9); Equals(LengthOf(Line(D, A)), 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(A, D), Line(C, ... |
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(D, A, F)), 20); Equals(LengthOf(Line(D, A)), 9); Equals(MeasureOf(Angle(B, A, F)), 32); Equals(LengthOf(Line(B, ... |
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(C, B, A... |
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(A, C, D)), 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(A, C... |
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(D, A)), 11); Equals(LengthOf(Line(B, E)), x); Perpendicular(Line(B, C), Line(E, ... |
geometry3k/train/457/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)), y); Equals(MeasureOf(Angle(B, D, A)), 60); Equals(LengthOf(Line(B, A)), 18); Equals(LengthOf(Line(D, B)), ... |
geometry3k/train/461/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(C, A)), x); Equals(MeasureOf(Angle(C, B, A)), 45); Equals(LengthOf(Line(C, B)), ... |
geometry3k/train/463/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)), 5.6); Equals(MeasureOf(Angle(B, C, A)), x); Equals(LengthOf(Line(A, B)), 6.5); Equals(LengthOf(Line(A, C))... |
geometry3k/train/464/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(G, F, H)), 130); Perpendicular(Line(F, H), Line(J, F)); PointLiesOnCircle(J, Circle(F, radius_)); PointLiesOnCir... |
geometry3k/train/465/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)), 3y+4); Equals(LengthOf(Line(C, E)), 4y); Equals(LengthOf(Line(B, E)), \\frac{2}{3}x); Equals(LengthOf(Line... |
geometry3k/train/466/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)), 4); Equals(LengthOf(Line(B, E)), 3); PointLiesOnLine(E, Line(B, D)); PointLiesOnLine(E, Line(C, A)); "
}... |
geometry3k/train/468/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, G, A)), 55); Equals(MeasureOf(Angle(E, B, H)), y); Equals(MeasureOf(Angle(A, G, B)), x); Parallel(Line(D, B),... |
geometry3k/train/469/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(M, C, N)), 60); Equals(MeasureOf(Angle(L, C, R)), 3x+5); Equals(MeasureOf(Angle(M, C, R)), x-1); PointLiesOnLine... |
geometry3k/train/470/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)), 7); Equals(LengthOf(Line(E, D)), x); Perpendicular(Line(E, C), Line(E, D)); Perpendicular(Line(D, B), Line... |
geometry3k/train/471/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, B)), 4); Equals(LengthOf(Line(E, F)), 14); Equals(LengthOf(Line(C, A)), 8); Perpendicular(Line(F, E), Line(F, A... |
geometry3k/train/472/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)), 19); Equals(LengthOf(Line(A, B)), 35); "
}
] |
geometry3k/train/473/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, S, T)), 63); PointLiesOnCircle(S, Circle(A, radius_)); PointLiesOnCircle(T, Circle(A, radius_)); "
}
] |
geometry3k/train/474/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(C, Y)), 3x-3); Equals(MeasureOf(Angle(B, P, Y)), 3x); Equals(MeasureOf(Arc(A, C)), 2x+15); PointLiesOnLine(P, Line... |
geometry3k/train/475/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, Y, F)), 4y+10); PointLiesOnLine(Y, Line(B, F)); PointLiesOnLine(H, Line(Y, J)); PointLiesOnLine(H, Line(D, J)... |
geometry3k/train/477/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)), 32); Equals(LengthOf(Line(D, B)), y); Equals(MeasureOf(Angle(C, A, B)), 54); Equals(LengthOf(Line(D, C)), ... |
geometry3k/train/478/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(E, X), Line(E, D)); Perpendicular(Line(A, D), Line(X, A)); PointLiesOnLine(Q, Line(X, D)); PointLiesOnLine(D, Line(T... |
geometry3k/train/479/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, I)), 84); Equals(MeasureOf(Angle(I, B, H)), 16); Equals(MeasureOf(Angle(D, B, H)), x); Perpendicular(Line(... |
geometry3k/train/481/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, S, Q)), 5x+4); Equals(MeasureOf(Angle(S, Q, T)), 32); Equals(MeasureOf(Angle(R, T, Q)), 6x-2); PointLiesOnLin... |
geometry3k/train/482/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(X, W), Line(W, Z)); PointLiesOnLine(A, Line(X, Z)); PointLiesOnLine(A, Line(W, Y)); "
}
] |
geometry3k/train/483/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+8); Equals(MeasureOf(Angle(C, D, A)), 4x); Equals(MeasureOf(Angle(D, A, B)), 2x-6); Equals(LengthOf(Line... |
geometry3k/train/484/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, F)), 12); Equals(LengthOf(Line(F, B)), x); Equals(LengthOf(Line(B, E)), 16); Equals(LengthOf(Line(D, E)), 16); ... |
geometry3k/train/485/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, G)), 7); PointLiesOnLine(F, Line(A, D)); PointLiesOnLine(I, Line(A, E)); PointLiesOnLine(G, Line(D, C)); PointL... |
geometry3k/train/486/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)), MeasureOf(Angle(10))); Equals(MeasureOf(Angle(B, C, E)), MeasureOf(Angle(9))); PointLiesOnLine(C, Lin... |
geometry3k/train/487/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, Q)), 3x-8); Equals(LengthOf(Line(T, S)), x+10); PointLiesOnLine(Q, Line(C, T)); PointLiesOnLine(S, Line(T, E));... |
geometry3k/train/488/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, P)), 3); Perpendicular(Line(Q, R), Line(P, R)); PointLiesOnLine(R, Line(Q, S)); PointLiesOnCircle(Q, Circle(P, ... |
geometry3k/train/489/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)), 18); Equals(LengthOf(Line(C, E)), 13); Equals(LengthOf(Line(E, D)), 24); Perpendicular(Line(C, E), Line(E,... |
geometry3k/train/490/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)), 3y); Equals(LengthOf(Line(B, C)), 2x); Equals(LengthOf(Line(A, D)), 5x-18); Equals(LengthOf(Line(A, B)), 9... |
geometry3k/train/491/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, A)), 24); Equals(LengthOf(Line(A, H)), 25); Equals(MeasureOf(Angle(G, C, H)), 28); Equals(LengthOf(Line(B, H)),... |
geometry3k/train/498/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, D, C)), 57); PointLiesOnCircle(E, Circle(D, radius_)); PointLiesOnCircle(C, Circle(D, radius_)); "
}
] |
geometry3k/train/499/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(A, Line(P, N)); PointLiesOnLine(A, Line(M, O)); "
}
] |
geometry3k/train/500/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)), 3x); Equals(MeasureOf(Angle(A, D, C)), x); Perpendicular(Line(B, C), Line(A, B)); Perpendicular(Line(... |
geometry3k/train/501/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, L)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(F, B, D)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/502/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, K, L)), 62); PointLiesOnLine(A, Line(L, K)); PointLiesOnCircle(L, Circle(A, radius_)); PointLiesOnCircle(J, C... |
geometry3k/train/503/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); Equals(LengthOf(Line(C, A)), y); Equals(LengthOf(Line(D, B)), 12.5); Equals(LengthOf(Line(D, A)), 8); ... |
geometry3k/train/506/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(D, A)); PointLiesOnCircle(D, Circle(N, radius_)); PointLiesOnCircle(A, Circle(N, radius_)); PointLiesOnCircle(B... |
geometry3k/train/507/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, B)), 3y-6); Equals(LengthOf(Line(B, F)), 2y+4); Equals(LengthOf(Line(F, G)), \\frac{1}{2}x+12); Equals(LengthOf... |
geometry3k/train/509/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, K, L)), 70); Equals(LengthOf(Line(L, J)), LengthOf(Line(K, L))); "
}
] |
geometry3k/train/510/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(C, D), Line(E, D)); Equals(LengthOf(Line(B, A)), LengthOf(Line(B, C))); Equals(LengthOf(Line(B, C)), LengthOf(Line(A... |
geometry3k/train/512/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)), 6); Equals(LengthOf(Line(E, C)), 12-x); Equals(LengthOf(Line(A, C)), x+7); Equals(LengthOf(Line(B, C)), 4)... |
geometry3k/train/515/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, R)), 2); Equals(LengthOf(Line(E, R)), r); Equals(LengthOf(Line(D, F)), 16); Equals(LengthOf(Line(E, A)), 18.5);... |
geometry3k/train/516/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, N)), 9); Equals(LengthOf(Line(M, O)), 16); "
}
] |
geometry3k/train/518/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)), 5y); Equals(LengthOf(Line(E, B)), \\frac{7}{3}y+8); Equals(LengthOf(Line(A, D)), \\frac{1}{3}x+2); Equals(... |
geometry3k/train/519/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(B, D)), 8); Equals(LengthOf(Line(B, A)), y); Equals(MeasureOf(Angle(B, A, C)), 45... |
geometry3k/train/520/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(L, P)); PointLiesOnLine(B, Line(Q, M)); PointLiesOnCircle(L, Circle(B, radius_)); PointLiesOnCircle(M, Circle(B... |
geometry3k/train/521/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)), 4x-26); Equals(MeasureOf(Angle(A, B, C)), x); Equals(MeasureOf(Angle(C, D, A)), x); Equals(MeasureOf(... |
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