image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/187/img_diagram_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)), 3); Equals(MeasureOf(Angle(E, A, D)), 130); Equals(MeasureOf(Angle(B, A, E)), MeasureOf(Angle(C, A, D))); ... |
geometry3k/train/188/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(U, T, S)), 4x+6); Equals(MeasureOf(Angle(U, R, S)), 6x-54); "
}
] |
geometry3k/train/189/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)), 27); Equals(LengthOf(Line(B, A)), 2x+5); Equals(LengthOf(Line(B, C)), 3x-4); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/190/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(E, Line(A, D)); PointLiesOnLine(B, Line(A, D)); PointLiesOnLine(B, Line(E, D)); PointLiesOnLine(E, Line(B, A)); PointLi... |
geometry3k/train/191/img_diagram_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, G)), 32); Equals(MeasureOf(Angle(G, B, A)), 34); Equals(LengthOf(Line(G, A)), 15); Equals(LengthOf(Line(E,... |
geometry3k/train/192/img_diagram_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(U, V, T)), 23); PointLiesOnCircle(V, Circle(D, radius_)); PointLiesOnCircle(T, Circle(D, radius_)); PointLiesOnC... |
geometry3k/train/193/img_diagram_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, V)), 3x-6); Equals(LengthOf(Line(Y, W)), 5); Equals(LengthOf(Line(Z, W)), 6); Equals(LengthOf(Line(X, W)), x+4)... |
geometry3k/train/194/img_diagram_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, B, V)), 68); Equals(MeasureOf(Angle(T, R, V)), 23); PointLiesOnLine(U, Line(V, R)); PointLiesOnLine(S, Line(T... |
geometry3k/train/195/img_diagram_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(C, A)), y); Equals(LengthOf(Line(C, D)), z); Equals(LengthOf(Line(B, A)), 12); Eq... |
geometry3k/train/196/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(G, A)), 12); Equals(LengthOf(Line(A, H)), 6); Equals(LengthOf(Line(A, F)), x); Equals(LengthOf(Line(A, E)), 5); Po... |
geometry3k/train/198/img_diagram_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)), 11); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(C, A, B)), 110); Equals(MeasureOf(Angle(C, B,... |
geometry3k/train/199/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(V, U, T)), 3x-4); Equals(MeasureOf(Angle(W, V, U)), x); Equals(MeasureOf(Angle(T, W, V)), 3x-4); Equals(MeasureO... |
geometry3k/train/200/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(C, A)); "
}
] |
geometry3k/train/201/img_diagram_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, K)), x+2); Equals(LengthOf(Line(B, J)), x); Equals(LengthOf(Line(L, B)), x+10); Equals(LengthOf(Line(B, M)), x+... |
geometry3k/train/202/img_diagram_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)), 15); Equals(LengthOf(Line(C, B)), 8); Equals(LengthOf(Line(C, F)), x); Perpendicular(Line(C, B), Line(F, C... |
geometry3k/train/205/img_diagram_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, C)), 75); Equals(MeasureOf(Angle(C, A, E)), 28); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(A, E, B))); E... |
geometry3k/train/206/img_diagram_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, D, C)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(C, B, A)), 32); PointLiesOnLine(E, Line(A, D)); PointLie... |
geometry3k/train/207/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)), 3.5); Equals(LengthOf(Line(A, B)), 3); Equals(LengthOf(Line(A, C)), 5); Equals(LengthOf(Line(E, D)), 3); E... |
geometry3k/train/208/img_diagram_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)), 6); Equals(LengthOf(Line(F, D)), 5); Equals(LengthOf(Line(E, C)), LengthOf(Line(D, E))); Equals(LengthOf(L... |
geometry3k/train/209/img_diagram_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(D, C)), 23); Equals(MeasureOf(Angle(E, D, B)), 60); Perpendicular(Line(D, E), Li... |
geometry3k/train/210/img_diagram_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, N, M)), 2x-5); Equals(LengthOf(Line(L, M)), LengthOf(Line(M, N))); PointLiesOnLine(B, Line(L, N)); PointLiesO... |
geometry3k/train/211/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Y, Z, I)), 20); Equals(MeasureOf(Angle(H, X, W)), 130); PointLiesOnLine(H, Line(I, G)); PointLiesOnLine(H, Line(... |
geometry3k/train/213/img_diagram_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)), x); Equals(LengthOf(Line(A, B)), 16); Perpendicular(Line(B, C), Line(C, A... |
geometry3k/train/215/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/216/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, J)), LengthOf(Line(F, H))); Equals(LengthOf(Line(G, F)), LengthOf(Line(H, G))); "
}
] |
geometry3k/train/217/img_diagram_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, N)), \\frac{1}{4}x+6); Equals(LengthOf(Line(P, I)), 12-3y); Equals(LengthOf(Line(D, P)), 16-5y); Equals(LengthO... |
geometry3k/train/218/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(V, T, U)), 74); Equals(LengthOf(Line(T, V)), LengthOf(Line(U, T))); "
}
] |
geometry3k/train/219/img_diagram_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)), 22); Equals(LengthOf(Line(B, D)), 14); Equals(LengthOf(Line(A, C)), 14); Equals(LengthOf(Line(C, D)), 22);... |
geometry3k/train/220/img_diagram_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, E)), 95); Equals(MeasureOf(Angle(E, D, B)), 109); Equals(MeasureOf(Angle(C, E, B)), MeasureOf(Angle(1))); ... |
geometry3k/train/221/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(P, N), Line(C, P)); Equals(LengthOf(Line(A, M)), LengthOf(Line(C, D))); Equals(LengthOf(Line(M, P)), LengthOf(Line(A... |
geometry3k/train/224/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, J)), 85); Equals(LengthOf(Line(L, K)), 9.3); PointLiesOnCircle(J, Circle(K, radius_)); PointLiesOnCircle(L... |
geometry3k/train/225/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Z, W, X)), 70); Equals(MeasureOf(Angle(X, Y, Z)), 56); Equals(LengthOf(Line(W, Z)), LengthOf(Line(W, X))); Equal... |
geometry3k/train/227/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, F)); PointLiesOnCircle(E, Circle(N, radius_)); PointLiesOnCircle(F, Circle(N, radius_)); PointLiesOnCircle(C... |
geometry3k/train/228/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, B, C)), y); Equals(LengthOf(Line(B, A)), 20); Equals(LengthOf(Line(C, B)), x); Equals(LengthOf(Line(A, C)), 1... |
geometry3k/train/229/img_diagram_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)), 40); Equals(LengthOf(Line(S, D)), 28); Equals(LengthOf(Line(D, B)), 38); Perpendicular(Line(S, D), Line(B,... |
geometry3k/train/230/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, A)), 5x-6); Equals(LengthOf(Line(D, C)), 3x+4); Perpendicular(Line(D, A), Line(D, B)); Equals(LengthOf(Line(B, ... |
geometry3k/train/231/img_diagram_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, B)), 4x); Equals(MeasureOf(Angle(C, B, A)), x); Equals(MeasureOf(Angle(A, C, B)), 29); PointLiesOnLine(A, ... |
geometry3k/train/232/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(M, N), Line(Y, Z)); PointLiesOnLine(M, Line(X, Y)); PointLiesOnLine(N, Line(Z, X)); "
}
] |
geometry3k/train/234/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, E), Line(C, A)); Perpendicular(Line(E, C), Line(D, E)); Perpendicular(Line(D, A), Line(C, D)); PointLiesOnLine(E,... |
geometry3k/train/236/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(X, W)), 4); Equals(MeasureOf(Angle(X, Y, W)), 23); Equals(LengthOf(Line(W, Z)), 4); Perpendicular(Line(X, Y), Line... |
geometry3k/train/237/img_diagram_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(I, F, A))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(E, F, A))); Equals(MeasureOf(Angle(... |
geometry3k/train/238/img_diagram_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(N, P)), 120); Equals(MeasureOf(Arc(P, Q)), 100); PointLiesOnCircle(P, Circle(A, radius_)); PointLiesOnCircle(Q, Ci... |
geometry3k/train/239/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(S, R), Line(V, S)); Perpendicular(Line(V, U), Line(T, V)); Perpendicular(Line(U, S), Line(U, R)); PointLiesOnLine(V,... |
geometry3k/train/241/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)), LengthOf(Line(R, K))); Equals(LengthOf(Line(T, L)), LengthOf(Line(T, J))); Equals(LengthOf(Line(S, K)), Le... |
geometry3k/train/242/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, T, R)), 50); Equals(LengthOf(Line(T, R)), LengthOf(Line(T, S))); "
}
] |
geometry3k/train/243/img_diagram_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(F, A, B))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(F, B, A))); Equals(MeasureOf(Angle(... |
geometry3k/train/244/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(N, K), Line(Q, N)); Perpendicular(Line(P, M), Line(M, R)); PointLiesOnLine(Q, Line(P, R)); PointLiesOnLine(Q, Line(M... |
geometry3k/train/245/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(L, W)); PointLiesOnLine(L, Line(T, R)); PointLiesOnLine(W, Line(S, R)); "
}
] |
geometry3k/train/246/img_diagram_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{5}{3}x+11); Equals(LengthOf(Line(B, D)), 3y-9); Equals(LengthOf(Line(A, D)), x+2); Equals(LengthOf(... |
geometry3k/train/248/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(Q, U, v)), 26); Equals(MeasureOf(Angle(Q, V, A)), 167); Equals(MeasureOf(Angle(T, V, U)), x); Equals(MeasureOf(A... |
geometry3k/train/249/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 4); Equals(MeasureOf(Angle(C, B, E)), 30); Equals(MeasureOf(Angle(E, B, A)), 30); Equals(MeasureOf(Angle(A... |
geometry3k/train/250/img_diagram_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)), 15); Equals(LengthOf(Line(A, C)), 6); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(B, C), Line(C, A... |
geometry3k/train/251/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, D)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(G, D, A)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/252/img_diagram_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, W)), x); Equals(LengthOf(Line(W', W)), 4); Equals(LengthOf(Line(F, W')), 10); PointLiesOnLine(D, Line(N, F)); P... |
geometry3k/train/254/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(Arc(U, R)), 179); Equals(MeasureOf(Arc(R, T)), 71); PointLiesOnLine(T, Line(U, S)); PointLiesOnCircle(R, Circle(O, rad... |
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(B, C), Line(C,... |
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(G, F)), 5x-9); Equals(LengthOf(Line(H, G)), 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(X, Z)), 3x+5); Perpendicular(Line(Z, X), Line(W, X)); Perpendicular(Line(Z, 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(C, A)), x); Equals(MeasureOf(Angle(A, C, B)), 43); Equals(LengthOf(Line(B, D)), 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(D, A, i)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(G, B, D)), MeasureOf(Angle(1))); 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(E, A, C)), 2x); Equals(MeasureOf(Angle(C, D, B)), 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(F, D)); PointLiesOnLine(A, Line(G, P)); 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(G, J)); PointLiesOnLine(K, Line(F, H)); "
}
] |
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(F, E)), 14); Equals(LengthOf(Line(B, C)), 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(B, F, D)), 165); Equals(MeasureOf(Angle(B, F, C)), 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(K, L)), LengthOf(Line(J, A))); 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(H, A)); 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(Y, V)); PointLiesOnLine(Z, Line(U, W)); 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(J, L)), 4); Equals(LengthOf(Line(J, M)), x); Perpendicular(Line(J, M), Line(M, L)); 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(A, C), Line(C, B)); "
}
] |
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(B, E)); PointLiesOnLine(B, Line(E, A... |
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(W, R)), x+6); Equals(LengthOf(Line(R, T)), 2x+6); Equals(LengthOf(Line(T, V)), 10); Equals(LengthOf(Line(S, W)), 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(F, E)); PointLiesOnLine(F, Line(C, A)); 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(A, B)), y); Equals(MeasureOf(Angle(B, A, C)), 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(B... |
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(A, C)), 8); Equals(LengthOf(Line(C, B)), 10); Equals(LengthOf(Line(D, A)), 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(B, C)), 15); Equals(LengthOf(Line(A, C)), 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(B, E)), 15); PointLiesOnLine(F, Line(B, E)); 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(C, G, B)), 100); Equals(MeasureOf(Angle(C, G, A)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(C, A, B)), Measu... |
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(C, A), Line(E, A)); Perpendicular(Line(E, D)... |
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(Y, A)), 8); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(B, A), Line(Y, B)); Equals(LengthOf(Line(A, B)), 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(R, C)), x); PointLiesOnLine(C, Line(T, R)); 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(B, C, A)), 28); Equals(LengthOf(Line(B, C)), ... |
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(C, B)), 3x-18); Equals(LengthOf(Line(B, Y)),... |
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(K, L)); 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(P, S)); PointLiesOnLine(R, Line(S, Q)); "
}
] |
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(Y, O)); PointLiesOnLine(X, Line(B, A)); 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(Q, T)); PointLiesOnLine(M, Line(S, R)); "
}
] |
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(D, G)); PointLiesOnLine(C, Line(H, E)); 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(R, T, S)), 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(R, S, T)), 7.94); Equals(MeasureOf(Angle(T, S, N)), 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(C, B, D))); Equals(MeasureOf(Angle(B, C, D)), 70); Equals(MeasureOf(Angle(C, D, B)), Measur... |
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(K, M), Line(N, M)); PointLiesOnLine(Q, Line(K, N)); PointLiesOnLine(Q, Line(M... |
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