image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
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(A, D, B)), 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(A, B)), 10); Equals(LengthOf(Line(C, A)), x); Equals(MeasureOf(Angle(C, B, A)), 45); Equals(LengthOf(Line(B, C)), ... |
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(C, A))... |
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(F, J)); 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(A, C)); "
}... |
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(A, G, E)), 55); Equals(MeasureOf(Angle(H, B, E)), y); Equals(MeasureOf(Angle(A, G, B)), x); Parallel(Line(B, D),... |
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(C, E)), 7); Equals(LengthOf(Line(E, D)), x); Perpendicular(Line(D, E), Line(E, C)); 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(F, E)), 14); Equals(LengthOf(Line(A, C)), 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(B, A)), 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(T, S, R)), 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(F, B)); PointLiesOnLine(H, Line(J, Y)); PointLiesOnLine(H, Line(J, D)... |
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(B, C)), 32); Equals(LengthOf(Line(B, D)), 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, X), Line(A, D)); PointLiesOnLine(Q, Line(D, X)); PointLiesOnLine(D, Line(X... |
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(Y, W)); "
}
] |
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(F, C)), 12); Equals(LengthOf(Line(B, F)), 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(E, T));... |
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(S, Q)); 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(D,... |
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(B, A)), 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(H, C, G)), 28); Equals(LengthOf(Line(H, B)),... |
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(C, D, E)), 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(O, M)); "
}
] |
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, A), Line(B, C)); 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(1)), MeasureOf(Angle(L, B, D))); Equals(MeasureOf(Angle(D, B, F)), 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(K, L)); 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(D, C)), x); Equals(LengthOf(Line(A, C)), 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(A, D)); 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(L, K))); "
}
] |
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(D, C), Line(E, D)); Equals(LengthOf(Line(B, A)), LengthOf(Line(C, B))); Equals(LengthOf(Line(C, A)), LengthOf(Line(C... |
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(C, B)), 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(R, E)), 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(O, M)), 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(D, E)), 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(C, B)), z); Equals(LengthOf(Line(D, B)), 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(M, Q)); 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(... |
geometry3k/train/522/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(P, Q)), 2x); Equals(LengthOf(Line(Q, R)), 3y+8); Equals(LengthOf(Line(R, S)), 2y); Equals(LengthOf(Line(P, S)), x)... |
geometry3k/train/524/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, R)), 5); Equals(LengthOf(Line(S, J)), 5); Perpendicular(Line(J, R), Line(R, H)); Perpendicular(Line(L, S), Line... |
geometry3k/train/526/img_diagram_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-5); Equals(LengthOf(Line(C, B)), 54); Equals(LengthOf(Line(B, A)), x); Equals(LengthOf(Line(D, B)), 28);... |
geometry3k/train/527/img_diagram_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, D, H)), 3x+2); Equals(MeasureOf(Angle(A, F, G)), 2x); Equals(MeasureOf(Angle(D, I, B)), x+5); Equals(MeasureO... |
geometry3k/train/529/img_diagram_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)), 16); Equals(LengthOf(Line(A, D)), 8); Equals(MeasureOf(Angle(D, B, A)), y); Equals(LengthOf(Line(D, B)), x... |
geometry3k/train/530/img_diagram_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, B)), 14); Equals(LengthOf(Line(F, A)), LengthOf(Line(A, E))); PointLiesOnLine(A, Line(E, F)); PointLiesOnCircle... |
geometry3k/train/531/img_diagram_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)), 8); Equals(LengthOf(Line(C, A)), x); Equals(LengthOf(Line(B, D)), 16); Equals(LengthOf(Line(C, B)), z); Eq... |
geometry3k/train/533/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/535/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(D, Line(C, A)); "
}
] |
geometry3k/train/536/img_diagram_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(C, B)), z); Equals(LengthOf(Line(B, A)), 20); Equals(LengthOf(Line(A, D)), 10); E... |
geometry3k/train/537/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(D, C)), 46); Equals(LengthOf(Line(E, H)), 38); PointLiesOnLine(E, Line(F, D)); PointLiesOnLine(H, Line(C, G)); "
... |
geometry3k/train/540/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), 8); Equals(LengthOf(Line(J, S)), 10); Equals(MeasureOf(Angle(K, L, S)), 24.5); Equals(MeasureOf(Angle(K, P... |
geometry3k/train/541/img_diagram_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, T)), 18); Equals(LengthOf(Line(W, T)), 12); Equals(MeasureOf(Angle(T, W, V)), 60); Perpendicular(Line(W, V), Li... |
geometry3k/train/542/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, F)), 17); Equals(LengthOf(Line(F, G)), 9x-6); Equals(LengthOf(Line(H, G)), 7x+4); Equals(LengthOf(Line(F, G)), ... |
geometry3k/train/543/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(B, A)), 6\\sqrt{3}); Equals(MeasureOf(Angle(A, C, B)), 60); Equals(LengthOf(Line(... |
geometry3k/train/544/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x+2); Equals(LengthOf(Line(C, B)), 8); Equals(LengthOf(Line(C, D)), y-3); Equals(LengthOf(Line(G, H)), 5);... |
geometry3k/train/545/img_diagram_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)), x-11); Equals(MeasureOf(Angle(A, B, E)), x+10); Equals(MeasureOf(Angle(B, D, G)), 31); Equals(Measure... |
geometry3k/train/550/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(R, Line(S, U)); PointLiesOnCircle(V, Circle(R, radius_)); PointLiesOnCircle(U, Circle(R, radius_)); PointLiesOnCircle(T... |
geometry3k/train/551/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(L, K, L)), 164); Equals(LengthOf(Line(J, K)), 15); PointLiesOnCircle(J, Circle(K, radius_)); PointLiesOnCircle(L... |
geometry3k/train/552/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, Q, T)), MeasureOf(Angle(M, J, L))); Equals(MeasureOf(Angle(Q, T, S)), MeasureOf(Angle(L, M, J))); Equals(Leng... |
geometry3k/train/553/img_diagram_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)), 20); Equals(LengthOf(Line(C, B)), y); Equals(MeasureOf(Angle(B, A, C)), 60); Equals(LengthOf(Line(C, A)), ... |
geometry3k/train/554/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, K)), 20); Equals(LengthOf(Line(L, K)), z); Equals(LengthOf(Line(M, L)), x); Equals(LengthOf(Line(J, M)), 5); Eq... |
geometry3k/train/555/img_diagram_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(B, C)), 28); Equals(LengthOf(Line(A, C)), 20); Perpendicular(Line(B, C), Line(C, ... |
geometry3k/train/557/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, P)), 10); PointLiesOnLine(R, Line(M, Q)); PointLiesOnLine(R, Line(P, L)); "
}
] |
geometry3k/train/560/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, R)), 6x-5); Equals(LengthOf(Line(Q, R)), 5x); Equals(LengthOf(Line(S, Q)), 3x+10); Equals(LengthOf(Line(R, Q)),... |
geometry3k/train/562/img_diagram_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)), 6); Equals(LengthOf(Line(A, C)), 8); Equals(LengthOf(Line(A, S)), z); Equals(LengthOf(Line(B, S)), x); Per... |
geometry3k/train/563/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(W, W')), x); Equals(LengthOf(Line(W', F)), 10.5); Equals(LengthOf(Line(W, F)), 14); PointLiesOnLine(C, Line(A, F))... |
geometry3k/train/564/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, J, P)), 57); Equals(MeasureOf(Angle(J, H, L)), x); PointLiesOnLine(J, Line(K, L)); PointLiesOnLine(P, Line(K,... |
geometry3k/train/565/img_diagram_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(D, B)), 3); Equals(LengthOf(Line(F, C)), 5); Equals(LengthOf(Line(D, A)), 9); Poi... |
geometry3k/train/566/img_diagram_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, M, P)), MeasureOf(Angle(7))); Equals(MeasureOf(Angle(H, M, K)), MeasureOf(Angle(5))); Equals(MeasureOf(Angle(... |
geometry3k/train/568/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(L, J, H)), x); Equals(MeasureOf(Angle(M, H, P)), 44); Equals(MeasureOf(Angle(J, H, L)), 76); PointLiesOnLine(J, ... |
geometry3k/train/569/img_diagram_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)), 14); Equals(LengthOf(Line(A, M)), 9); Equals(LengthOf(Line(M, E)), 15); PointLiesOnLine(A, Line(B, M)); Po... |
geometry3k/train/572/img_diagram_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(L, G)), 3); Equals(LengthOf(Line(E, L)), 4); Equals(LengthOf(Line(G, O)), x); Equals(LengthOf(Line(E, S)), 9); Poi... |
geometry3k/train/573/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x+15); Equals(LengthOf(Line(C, B)), 2x-5); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(C, ... |
geometry3k/train/574/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, H)), 6x+1); Equals(LengthOf(Line(G, F)), 3x+10); Equals(LengthOf(Line(H, G)), 9x-8); "
}
] |
geometry3k/train/575/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, J, K)), 3y+9); Equals(MeasureOf(Angle(G, K, J)), x+21); Equals(MeasureOf(Angle(J, H, G)), 2x); Equals(Measure... |
geometry3k/train/576/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(M, Line(H, R)); PointLiesOnCircle(U, Circle(M, radius_)); PointLiesOnCircle(A, Circle(M, radius_)); PointLiesOnCircle(S... |
geometry3k/train/577/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, K, H)), 122); PointLiesOnLine(K, Line(J, G)); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(H, ... |
geometry3k/train/579/img_diagram_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, N)), 9); PointLiesOnCircle(P, Circle(J, radius_)); PointLiesOnCircle(S, Circle(J, radius_)); PointLiesOnCircle(... |
geometry3k/train/580/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, A)), 12); Equals(LengthOf(Line(D, C)), 9); Equals(LengthOf(Line(F, D)), x); Equals(LengthOf(Line(Y, Z)), 10); E... |
geometry3k/train/583/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, D)), x+25); Equals(MeasureOf(Angle(C, D, E)), 2x-22); Equals(MeasureOf(Angle(C, B, A)), 1.5x+3); Equals(Me... |
geometry3k/train/585/img_diagram_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, X)), x+2); Equals(LengthOf(Line(S, Z)), x+6); Equals(LengthOf(Line(Y, S)), x+12); Equals(LengthOf(Line(W, S)), ... |
geometry3k/train/586/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), y); Equals(LengthOf(Line(B, A)), 15); Equals(MeasureOf(Angle(C, B, A)), 30); Equals(LengthOf(Line(C, B)), ... |
geometry3k/train/588/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, R)), 5x-9); Equals(LengthOf(Line(T, V)), 2x+3); Equals(LengthOf(Arc(V, T)), LengthOf(Arc(R, S))); PointLiesOnCi... |
geometry3k/train/589/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, M, L)), 2x-8); Equals(MeasureOf(Angle(M, J, K)), 3x-6); Equals(MeasureOf(Angle(J, K, L)), x+10); Equals(Measu... |
geometry3k/train/590/img_diagram_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, G, B)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(B, G, F)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/591/img_diagram_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\\sqrt{2}); Equals(LengthOf(Line(A, B)), LengthOf(Line(B, C))); PointLiesOnLine(D, Line(C, A)); PointLies... |
geometry3k/train/592/img_diagram_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)), 20); Equals(LengthOf(Line(E, D)), 30); Equals(LengthOf(Line(C, E)), 20); Equals(LengthOf(Line(E, A)), 30);... |
geometry3k/train/593/img_diagram_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, A)), 120); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(E, B, D))); Equals(MeasureOf(Arc(D, E)), 100); PointLies... |
geometry3k/train/595/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(O, A), Line(O, C)); PointLiesOnLine(O, Line(E, C)); PointLiesOnLine(O, Line(B, A)); PointLiesOnCircle(E, Circle(O, r... |
geometry3k/train/596/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(T, C)), 12); Equals(MeasureOf(Angle(C, T, Q)), 120); Equals(MeasureOf(Angle(R, B,... |
geometry3k/train/597/img_diagram_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)), 5); Equals(LengthOf(Line(A, D)), 8); Equals(LengthOf(Line(D, F)), 6); PointLiesOnLine(D, Line(A, F)); Poin... |
geometry3k/train/598/img_diagram_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, E, D)), 45); Equals(LengthOf(Line(G, A)), x); Equals(LengthOf(Line(A, E)), 8); Equals(LengthOf(Line(D, G)), y... |
geometry3k/train/603/img_diagram_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, F)), 4.2); Equals(LengthOf(Line(D, B)), 5.4); Perpendicular(Line(B, D), Line(E, B)); Equals(LengthOf(Line(B, E)... |
geometry3k/train/605/img_diagram_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, A)), x); Equals(LengthOf(Line(A, C)), 24); Equals(LengthOf(Line(D, A)), 36); Equals(MeasureOf(Angle(B, A, ... |
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