image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/255/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)), 21); Equals(LengthOf(Line(B, C)), 15); Equals(LengthOf(Line(A, C)), 16); Perpendicular(Line(C, B), Line(A,... |
geometry3k/train/256/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, G)), 5x-9); Equals(LengthOf(Line(G, H)), x+7); PointLiesOnCircle(H, Circle(J, radius_)); PointLiesOnCircle(F, C... |
geometry3k/train/257/img_diagram_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(Y, Z)), 5x-7); Equals(LengthOf(Line(Z, X)), 3x+5); Perpendicular(Line(X, W), Line(Z, X)); Perpendicular(Line(W, Y)... |
geometry3k/train/259/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 8); Equals(LengthOf(Line(A, C)), x); Equals(MeasureOf(Angle(B, C, A)), 43); Equals(LengthOf(Line(D, B)), y... |
geometry3k/train/260/img_diagram_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(i, A, D))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(G, B, D))); Equals(MeasureOf(Angle(... |
geometry3k/train/261/img_diagram_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, B)), y^{2}); Equals(MeasureOf(Angle(C, A, E)), 2x); Equals(MeasureOf(Angle(B, D, C)), 68); Equals(MeasureO... |
geometry3k/train/262/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, E)), 6.25); Equals(LengthOf(Line(A, B)), 10); Equals(LengthOf(Line(D, E)), x-1); Equals(LengthOf(Line(B, C)), x... |
geometry3k/train/263/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 5+x); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(C, F)), 5+x); Equals(LengthOf(Line(B, F)), 5);... |
geometry3k/train/264/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(A, Line(D, F)); PointLiesOnLine(A, Line(P, G)); PointLiesOnCircle(L, Circle(A, radius_)); PointLiesOnCircle(F, Circle(A... |
geometry3k/train/265/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(K, Line(J, G)); PointLiesOnLine(K, Line(H, F)); "
}
] |
geometry3k/train/266/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)), 13); Equals(LengthOf(Line(A, C)), 7); Equals(LengthOf(Line(E, F)), 14); Equals(LengthOf(Line(C, B)), 10); ... |
geometry3k/train/270/img_diagram_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, F)), x+4); Equals(LengthOf(Line(D, C)), 2x); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(B, F)), 8); ... |
geometry3k/train/271/img_diagram_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, C)), 145); Equals(MeasureOf(Angle(D, F, B)), 165); Equals(MeasureOf(Angle(C, F, B)), x); PointLiesOnCircle... |
geometry3k/train/272/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, K)), LengthOf(Line(A, J))); Equals(MeasureOf(Arc(J, D)), 3x+54); Equals(MeasureOf(Arc(K, C)), 5x); PointLiesOnC... |
geometry3k/train/274/img_diagram_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, D, A)), b); Equals(MeasureOf(Angle(C, E, F)), d); PointLiesOnLine(D, Line(A, H)); PointLiesOnLine(E, Line(D, ... |
geometry3k/train/275/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(Z, Line(V, Y)); PointLiesOnLine(Z, Line(W, U)); PointLiesOnCircle(V, Circle(Z, radius_)); PointLiesOnCircle(W, Circle(Z... |
geometry3k/train/277/img_diagram_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)), 60); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle... |
geometry3k/train/278/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, J)), 4); Equals(LengthOf(Line(J, M)), x); Perpendicular(Line(M, J), Line(L, M)); Equals(LengthOf(Line(C, D)), 6... |
geometry3k/train/279/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, B, C)), x-8); Equals(MeasureOf(Angle(F, A, B)), x+2); Equals(MeasureOf(Angle(B, C, D)), x+7); Equals(MeasureO... |
geometry3k/train/281/img_diagram_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)), 5); Equals(LengthOf(Line(B, C)), 3); Perpendicular(Line(C, A), Line(B, C)); "
}
] |
geometry3k/train/282/img_diagram_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)), b+5); Equals(LengthOf(Line(A, E)), b); Perpendicular(Line(C, B), Line(E, B)); PointLiesOnLine(B, Line(A, E... |
geometry3k/train/285/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, W)), x+6); Equals(LengthOf(Line(T, R)), 2x+6); Equals(LengthOf(Line(V, T)), 10); Equals(LengthOf(Line(W, S)), 8... |
geometry3k/train/286/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, F, A)), 63); Perpendicular(Line(D, F), Line(E, F)); PointLiesOnLine(F, Line(A, C)); PointLiesOnCircle(D, Circ... |
geometry3k/train/287/img_diagram_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)), 45); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C)), 7... |
geometry3k/train/288/img_diagram_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, B, F)), 4x); Equals(MeasureOf(Arc(E, F)), 35); Equals(MeasureOf(Arc(C, D)), 9x+26); PointLiesOnLine(E, Line(C... |
geometry3k/train/290/img_diagram_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)), 8); Equals(LengthOf(Line(C, B)), 10); Equals(LengthOf(Line(A, D)), 4); Perpendicular(Line(B, C), Line(C, A... |
geometry3k/train/291/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)), 13); Equals(LengthOf(Line(C, B)), 15); Equals(LengthOf(Line(C, A)), 12); "
}
] |
geometry3k/train/292/img_diagram_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)), 12); Equals(LengthOf(Line(C, E)), x); Equals(LengthOf(Line(E, B)), 15); PointLiesOnLine(F, Line(E, B)); Po... |
geometry3k/train/293/img_diagram_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, G, C)), 100); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(C, G, A))); Equals(MeasureOf(Angle(3)), MeasureOf(A... |
geometry3k/train/295/img_diagram_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)), 2x+1); Equals(LengthOf(Line(B, E)), 3x-5); Perpendicular(Line(E, A), Line(A, C)); Perpendicular(Line(D, E)... |
geometry3k/train/296/img_diagram_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, Y)), 8); Equals(LengthOf(Line(B, A)), x); Perpendicular(Line(A, B), Line(Y, B)); Equals(LengthOf(Line(B, Y)), L... |
geometry3k/train/298/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(I, H, G)), 98); Equals(MeasureOf(Angle(J, G, H)), 87); Equals(MeasureOf(Angle(G, J, I)), y+30); Equals(MeasureOf... |
geometry3k/train/300/img_diagram_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, T)), 20); Equals(LengthOf(Line(T, C)), 12); Equals(LengthOf(Line(C, R)), x); PointLiesOnLine(C, Line(R, T)); Po... |
geometry3k/train/301/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); Equals(LengthOf(Line(C, A)), 11); Equals(MeasureOf(Angle(A, C, B)), 28); Equals(LengthOf(Line(C, B)), ... |
geometry3k/train/302/img_diagram_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)), 5y); Equals(LengthOf(Line(A, Y)), 2x-5); Equals(LengthOf(Line(B, C)), 3x-18); Equals(LengthOf(Line(Y, B)),... |
geometry3k/train/303/img_diagram_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, A, D)), 65); Equals(MeasureOf(Angle(D, A, E)), 110); Equals(MeasureOf(Angle(E, A, C)), x); Perpendicular(Line... |
geometry3k/train/304/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, P)), x); Equals(LengthOf(Line(M, L)), 2.7); PointLiesOnLine(P, Line(K, M)); PointLiesOnLine(J, Line(L, K)); Poi... |
geometry3k/train/305/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(P, Q), Line(T, R)); PointLiesOnLine(T, Line(S, P)); PointLiesOnLine(R, Line(Q, S)); "
}
] |
geometry3k/train/306/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(X, B), Line(O, X)); PointLiesOnLine(X, Line(O, Y)); PointLiesOnLine(X, Line(A, B)); PointLiesOnCircle(Y, Circle(O, r... |
geometry3k/train/307/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(T, Q)); PointLiesOnLine(M, Line(R, S)); "
}
] |
geometry3k/train/308/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(G, C), Line(F, C)); PointLiesOnLine(C, Line(G, D)); PointLiesOnLine(C, Line(E, H)); PointLiesOnCircle(D, Circle(C, r... |
geometry3k/train/309/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(T, S, R)), 125); Equals(LengthOf(Line(T, S)), 6.8); Equals(MeasureOf(Angle(S, T, R)), 24); Equals(LengthOf(Line(... |
geometry3k/train/310/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(Arc(T, S, R)), 7.94); Equals(MeasureOf(Angle(N, S, T)), 70); PointLiesOnCircle(R, Circle(S, radius_)); PointLiesOnCircl... |
geometry3k/train/311/img_diagram_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(D, B, C))); Equals(MeasureOf(Angle(B, C, D)), 70); Equals(MeasureOf(Angle(1)), MeasureOf(An... |
geometry3k/train/312/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(J, K), Line(J, N)); Perpendicular(Line(M, K), Line(N, M)); PointLiesOnLine(Q, Line(N, K)); PointLiesOnLine(Q, Line(M... |
geometry3k/train/314/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, E)), x); Equals(LengthOf(Line(E, C)), x+3); Equals(LengthOf(Line(D, E)), x+10); Equals(LengthOf(Line(E, A)), x+... |
geometry3k/train/315/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, S)), 8); Equals(LengthOf(Line(R, Q)), 4); Equals(LengthOf(Line(K, J)), 6); Equals(LengthOf(Line(L, K)), 12); Eq... |
geometry3k/train/316/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, D)), x-4); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(F, E)), 3); Equals(LengthOf(Line(B, C)), 5); E... |
geometry3k/train/317/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 19); Equals(LengthOf(Line(A, B)), 7); Equals(LengthOf(Line(A, C)), x); Perpendicular(Line(B, A), Line(A, C... |
geometry3k/train/318/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(S, Q, R)), 33); Equals(LengthOf(Line(R, P)), y+4); Equals(MeasureOf(Angle(S, Q, T)), 95); Equals(LengthOf(Line(Q... |
geometry3k/train/320/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 8); Equals(LengthOf(Line(D, H)), x); Equals(MeasureOf(Angle(D, A, B)), 30); Equals(MeasureOf(Angle(A, B, C... |
geometry3k/train/321/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, G)), 10); Equals(LengthOf(Line(E, G)), 10); PointLiesOnLine(E, Line(F, D)); PointLiesOnLine(B, Line(A, C)); Poi... |
geometry3k/train/322/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(B, Line(V, U)); PointLiesOnLine(A, Line(R, S)); "
}
] |
geometry3k/train/323/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, E)), x+7); Equals(LengthOf(Line(E, C)), 9); Equals(LengthOf(Line(E, F)), x); Equals(LengthOf(Line(B, E)), 4); P... |
geometry3k/train/324/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(DiameterOf(Circle(C))), 12); PointLiesOnLine(C, Line(A, B)); PointLiesOnLine(C, Line(H, E)); PointLiesOnLine(C, Line(J,... |
geometry3k/train/325/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(N, Line(A, R)); PointLiesOnLine(M, Line(T, V)); "
}
] |
geometry3k/train/327/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(G, C), Line(G, D)); PointLiesOnLine(G, Line(A, D)); PointLiesOnLine(G, Line(B, F)); PointLiesOnCircle(D, Circle(G, r... |
geometry3k/train/328/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(W, Y)), 40); Equals(LengthOf(Line(W, Z)), 3x-6); Equals(LengthOf(Line(U, Y)), 32); Equals(LengthOf(Line(U, Z)), x+... |
geometry3k/train/331/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, P)), 36); Equals(LengthOf(Line(N, P)), 15); Equals(LengthOf(Line(M, N)), 39); Perpendicular(Line(P, M), Line(N,... |
geometry3k/train/332/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, E)), 2); Equals(LengthOf(Line(E, C)), 5); Equals(LengthOf(Line(D, E)), 4); Equals(LengthOf(Line(B, E)), x); Poi... |
geometry3k/train/333/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, H, K)), 6y+10); Equals(MeasureOf(Angle(M, I, H)), 8x-12); Equals(MeasureOf(Angle(G, I, D)), 4x); PointLiesOnL... |
geometry3k/train/335/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, C, A)), 66); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(C, D, A))); Equals(MeasureOf(Angle(A, D, B)), Measur... |
geometry3k/train/336/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(S, U, V)), 2x+15); Equals(MeasureOf(Angle(S, T, B)), 3x-5); PointLiesOnLine(B, Line(T, V)); PointLiesOnLine(B, L... |
geometry3k/train/337/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(6)), MeasureOf(Angle(B, A, E))); Equals(MeasureOf(Angle(A, B, C)), 36); Equals(MeasureOf(Angle(D, B, E)), 42); E... |
geometry3k/train/339/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, D)), 74); Equals(MeasureOf(Angle(B, C, D)), x); Equals(MeasureOf(Angle(C, D, A)), 105); Equals(LengthOf(Li... |
geometry3k/train/340/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, E)), 12); Equals(LengthOf(Line(D, E)), 24); Equals(LengthOf(Line(C, E)), 24); Equals(LengthOf(Line(E, B)), x); ... |
geometry3k/train/341/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, T)), y+3); Equals(LengthOf(Line(S, T)), 49); Equals(LengthOf(Line(S, R)), x); Equals(LengthOf(Line(V, W)), 20);... |
geometry3k/train/343/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, D)), 3); PointLiesOnLine(F, Line(A, C)); PointLiesOnLine(I, Line(E, A)); PointLiesOnLine(B, Line(E, D)); PointL... |
geometry3k/train/345/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(K, G, L)), x); Equals(MeasureOf(Arc(H, J)), 47); Equals(MeasureOf(Arc(K, L)), 116); PointLiesOnLine(G, Line(L, J... |
geometry3k/train/346/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(Q, Line(A, R)); PointLiesOnLine(P, Line(A, R)); PointLiesOnLine(Q, Line(R, P)); PointLiesOnLine(R, Line(A, B)); PointLi... |
geometry3k/train/348/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), x-3); Equals(LengthOf(Line(C, B)), 4x-21); Equals(LengthOf(Line(A, B)), 2x-7); "
}
] |
geometry3k/train/349/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), z); Equals(LengthOf(Line(C, A)), y); Equals(LengthOf(Line(X, C)), 36); Equals(LengthOf(Line(A, B)), 6x); P... |
geometry3k/train/352/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, A, C)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(B, A, E))); Equals(MeasureOf(Angle(... |
geometry3k/train/353/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 7); Equals(LengthOf(Line(A, B)), 5); Equals(LengthOf(Line(C, B)), 6); Equals(LengthOf(Line(D, E)), 3); "
... |
geometry3k/train/354/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(C, A)), 14); Equals(MeasureOf(Angle(B, A, C)), 30); Equals(LengthOf(Line(A, B)), ... |
geometry3k/train/356/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, C)), 3x); Equals(LengthOf(Line(F, A)), 10z-40); Equals(LengthOf(Line(E, B)), 4y); Equals(LengthOf(Line(A, D)), ... |
geometry3k/train/357/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), y); Equals(LengthOf(Line(D, C)), 2\\sqrt{3}); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(D, A))... |
geometry3k/train/358/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, F, E)), 2x); Equals(MeasureOf(Angle(C, E, B)), 40); Equals(MeasureOf(Angle(F, E, D)), y); Equals(Angle(F, D, ... |
geometry3k/train/360/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(G, E), Line(G, K)); Perpendicular(Line(A, H), Line(K, A)); Perpendicular(Line(E, F), Line(N, F)); Perpendicular(Line... |
geometry3k/train/361/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 8); Equals(LengthOf(Line(B, D)), 25); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(D, C)), z); Eq... |
geometry3k/train/362/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(J, C, B)), 105); Equals(MeasureOf(Angle(C, I, K)), x); Equals(MeasureOf(Angle(F, N, K)), 125); Parallel(Line(H, ... |
geometry3k/train/363/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 24); Equals(LengthOf(Line(C, B)), 10); Equals(LengthOf(Line(A, B)), 26); Perpendicular(Line(A, C), Line(C,... |
geometry3k/train/364/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(P, Line(B, D)); PointLiesOnLine(P, Line(C, A)); "
}
] |
geometry3k/train/365/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 3); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(A, B)), h); Perpendicular(Line(C, B), Line... |
geometry3k/train/366/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, A)), x-1); Equals(LengthOf(Line(D, C)), 5); Equals(LengthOf(Line(B, A)), 2); Equals(LengthOf(Line(E, D)), x+5);... |
geometry3k/train/368/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 23); Equals(MeasureOf(Angle(E, D, B)), 45); Equals(LengthOf(Line(E, D)), 5); Perpendicular(Line(B, E), Lin... |
geometry3k/train/369/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, F, D)), 3x); Equals(MeasureOf(Angle(B, F, C)), 6x); Equals(MeasureOf(Angle(A, F, E)), 12y-10); PointLiesOnLin... |
geometry3k/train/373/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 48); Equals(LengthOf(Line(A, C)), 20); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(B, A), Line(A, ... |
geometry3k/train/374/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 18); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(B, A, C)), 45); Perpendicular(Line(C, B), Lin... |
geometry3k/train/375/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(M, L, J)), 6x+8); Equals(MeasureOf(Angle(K, L, M)), 9x-4); Perpendicular(Line(L, J), Line(M, J)); Perpendicular(... |
geometry3k/train/376/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, P)), 15); Equals(LengthOf(Line(P, Q)), 6); Equals(LengthOf(Line(P, S)), x); Equals(LengthOf(Line(T, P)), 4); Po... |
geometry3k/train/378/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, E)), 14); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(A, D)), 7); PointLiesOnLine(D, Line(B, A)); 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(A, B)), 26); Equals(LengthOf(Line(F, E)), 8); Equals(MeasureOf(Angle(F, G, A)), 108); Equals(LengthOf(Line(D, A)),... |
geometry3k/train/380/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(W, X, Y)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(T, X, Z))); 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(A, C)), y); Equals(LengthOf(Line(B, A)), 32); Equals(MeasureOf(Angle(C, A, B)), 6... |
geometry3k/train/383/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 4); Equals(LengthOf(Line(C, D)), 2); Equals(LengthOf(Line(B, E)), 3); Equals(LengthOf(Line(A, E)), x); Poi... |
geometry3k/train/384/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(D, Line(C, B)); PointLiesOnLine(S, Line(B, C)); PointLiesOnLine(D, Line(S, C)); PointLiesOnLine(S, Line(B, D)); PointLi... |
geometry3k/train/386/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, E)), 60); Equals(LengthOf(Line(A, E)), y); Equals(LengthOf(Line(B, C)), LengthOf(a)); Equals(MeasureOf(Ang... |
geometry3k/train/388/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(T, S), Line(Q, R)); PointLiesOnLine(T, Line(Q, P)); 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(V, J)), 3); Equals(LengthOf(Line(S, T)), LengthOf(Line(U, T))); Equals(LengthOf(L... |
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