image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/765/img_diagram_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, A)), 58); Equals(LengthOf(Line(B, C)), 4); Equals(LengthOf(Line(T, E)), LengthOf(Line(B, E))); Equals(Leng... |
geometry3k/train/766/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(R, S)); PointLiesOnLine(N, Line(V, T)); "
}
] |
geometry3k/train/768/img_diagram_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, D, A)), 90); Equals(LengthOf(Line(A, D)), 6x+1); Equals(MeasureOf(Angle(G, B, A)), 30); Equals(MeasureOf(Angl... |
geometry3k/train/770/img_diagram_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)), 3); Equals(LengthOf(Line(D, B)), 12); Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(C, D)), x); Eq... |
geometry3k/train/772/img_diagram_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)), 17\\sqrt{2}); Equals(MeasureOf(Angle(A, B, C)), 45); Equals(LengthOf(Line(B, A)), x); Equals(MeasureOf(Ang... |
geometry3k/train/773/img_diagram_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(O, B)), 35); Equals(LengthOf(Line(O, A)), 25); Equals(LengthOf(Line(C, A)), 23); Equals(LengthOf(Line(C, B)), 11);... |
geometry3k/train/775/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, C, B)), 5x+21); Equals(MeasureOf(Angle(G, D, C)), 12x+6); PointLiesOnLine(C, Line(A, P)); PointLiesOnLine(D, ... |
geometry3k/train/778/img_diagram_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(MeasureOf(Angle(C, A, B)), 45); Equals(LengthOf(Line(B, C)), 6\\sqrt{2}); Perpendicular(Line(A,... |
geometry3k/train/779/img_diagram_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)), y); Equals(MeasureOf(Angle(A, C, B)), 60); Equals(LengthOf(Line(C, A)), x); Equals(LengthOf(Line(A, B)), 1... |
geometry3k/train/780/img_diagram_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)), 14); Equals(LengthOf(Line(C, B)), 11); Equals(LengthOf(Line(A, D)), x); Equals(LengthOf(Line(C, A)), 20); ... |
geometry3k/train/781/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(W, Y, Z)), 58); Equals(MeasureOf(Angle(Y, X, Z)), MeasureOf(Angle(7))); Equals(MeasureOf(Angle(Y, Z, X)), 65); E... |
geometry3k/train/782/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(J, L)); "
}
] |
geometry3k/train/784/img_diagram_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)), 17); Equals(MeasureOf(Angle(D, C, A)), 45); Equals(LengthOf(Line(C, E)), 9); Perpendicular(Line(A, E), Lin... |
geometry3k/train/785/img_diagram_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)), 9); Perpendicular(Line(C, A), Line(B, C)); Perpendicular(Line(A, C), Line(A, D)); Perpendicular(Line(B, D)... |
geometry3k/train/789/img_diagram_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)), 12-2x); Equals(LengthOf(Line(A, D)), 7y); Equals(LengthOf(Line(E, C)), 8x-18); Equals(LengthOf(Line(C, A))... |
geometry3k/train/791/img_diagram_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(3))); Equals(MeasureOf(Angle(C, A, S)), 125); Equals(MeasureOf(Angle(B, A, C)), Measu... |
geometry3k/train/792/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Q, R)), 6); Equals(LengthOf(Line(W, V)), 8); Equals(LengthOf(Line(W, P)), 3); Equals(LengthOf(Line(R, T)), x); Equ... |
geometry3k/train/793/img_diagram_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(L, P)), 106); Equals(MeasureOf(Arc(P, M)), x); Equals(LengthOf(Line(P, M)), LengthOf(Line(M, L))); PointLiesOnCirc... |
geometry3k/train/794/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, J, C)), 2x); Equals(MeasureOf(Angle(J, C, A)), 96); Equals(MeasureOf(Angle(A, E, J)), 3y+44); Equals(MeasureO... |
geometry3k/train/795/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(F, Line(A, D)); PointLiesOnLine(F, Line(B, E)); PointLiesOnCircle(A, Circle(F, radius_)); PointLiesOnCircle(E, Circle(F... |
geometry3k/train/796/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(V, X)), 75); Equals(LengthOf(Line(W, V)), 72); Equals(LengthOf(Line(W, X)), 21); Perpendicular(Line(W, V), Line(X,... |
geometry3k/train/797/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)), 5); Perpendicular(Line(P, Q), Line(P, R)); Perpendicular(Line(S, S), Line(Q, S)); PointLiesOnLine(S, Line(... |
geometry3k/train/798/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)), 5); Equals(LengthOf(Line(A, Q)), 3+x); Equals(LengthOf(Line(P, Q)), 6-x); Equals(LengthOf(Line(R, Q)), 6+x... |
geometry3k/train/799/img_diagram_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)), x); Equals(MeasureOf(Angle(C, A, B)), 60); Equals(LengthOf(Line(C, B)), 15); Equals(LengthOf(Line(A, B)), ... |
geometry3k/train/800/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, S)), 12+x); Equals(LengthOf(Line(R, S)), 4x-4); Equals(LengthOf(Line(T, R)), 3x+3); Equals(LengthOf(Line(R, S))... |
geometry3k/train/802/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/803/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)), 35); Equals(LengthOf(Line(D, C)), 25); "
}
] |
geometry3k/train/804/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)), 8); Perpendicular(Line(J, H), Line(F, H)); Perpendicular(Line(L, K), Line(F, L)); PointLiesOnLine(L, Line(... |
geometry3k/train/808/img_diagram_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)), 2x+4y); Equals(LengthOf(Line(A, D)), 21); Equals(LengthOf(Line(B, C)), 3x+3y); Equals(LengthOf(Line(B, A))... |
geometry3k/train/809/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(N, P)), 8); Equals(LengthOf(Line(N, Q)), 12); Equals(LengthOf(Line(P, Q)), 20); Equals(LengthOf(Line(H, J)), 4x+7)... |
geometry3k/train/810/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, Q)), 15); Equals(LengthOf(Line(Q, P)), 17); Equals(LengthOf(Line(R, P)), 8); Perpendicular(Line(R, Q), Line(P, ... |
geometry3k/train/811/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, P)), 8); Equals(LengthOf(Line(W, P)), 6); Equals(LengthOf(Line(Y, P)), 24); Equals(LengthOf(Line(Z, P)), 8); Po... |
geometry3k/train/812/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); Equals(LengthOf(Line(C, B)), 24); Equals(MeasureOf(Angle(B, A, C)), 32); Perpendicular(Line(A, C), Lin... |
geometry3k/train/815/img_diagram_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)), 3y-2); Equals(LengthOf(Line(A, D)), x+4); Equals(LengthOf(Line(C, B)), 2x-4); Equals(LengthOf(Line(C, A)),... |
geometry3k/train/818/img_diagram_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, E, A)), 148); Equals(MeasureOf(Angle(E, A, F)), 18); Equals(MeasureOf(Angle(Y, Z, X)), 5x-y); Equals(MeasureO... |
geometry3k/train/820/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(E, Line(D, B)); PointLiesOnLine(E, Line(C, A)); PointLiesOnCircle(D, Circle(Z, radius_)); PointLiesOnCircle(B, Circle(Z... |
geometry3k/train/823/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, Q)), 33.2); Equals(LengthOf(Line(S, R)), 53); Equals(LengthOf(Line(R, Q)), 21); Equals(MeasureOf(Angle(Q, R, S)... |
geometry3k/train/824/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(4)), MeasureOf(Angle(I, C, A))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(H, C, A))); Equals(MeasureOf(Angle(... |
geometry3k/train/826/img_diagram_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(A, C)), z); Equals(LengthOf(Line(B, P)), 8); Equals(LengthOf(Line(P, A)), y); Eq... |
geometry3k/train/830/img_diagram_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)), y); Equals(LengthOf(Line(C, B)), z); Equals(LengthOf(Line(C, D)), x); Equals(LengthOf(Line(D, A)), 9); Equ... |
geometry3k/train/831/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, B)), 50); Equals(MeasureOf(Angle(D, A, C)), x); PointLiesOnLine(A, Line(D, B)); "
}
] |
geometry3k/train/832/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(F, A, B)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(A, F, B))); Equals(MeasureOf(Angle(... |
geometry3k/train/833/img_diagram_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)), 48); Equals(LengthOf(Line(A, C)), 14); Perpendicular(Line(B, C), Line(C, ... |
geometry3k/train/837/img_diagram_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, E, J)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(E, L, A)), 133); Equals(MeasureOf(Angle(I, K, G)), 126);... |
geometry3k/train/838/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(D, C)), 6); Equals(LengthOf(Line(D, E)), 3); Equals(LengthOf(Line(A, D)), 9); Poi... |
geometry3k/train/839/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)), 11x-8); Equals(LengthOf(Line(L, J)), x+12); Equals(LengthOf(Line(K, J)), 7x); Equals(LengthOf(Line(J, K)),... |
geometry3k/train/840/img_diagram_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(N, M)), 26); Equals(LengthOf(Line(Q, P)), 3x+5); PointLiesOnCircle(P, Circle(O, radius_)); PointLiesOnCircle(N, Ci... |
geometry3k/train/843/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, N)), 7); Equals(LengthOf(Line(J, K)), LengthOf(m)); Equals(MeasureOf(Angle(O, A, N)), r); Equals(LengthOf(Line(... |
geometry3k/train/844/img_diagram_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, D)), 12); Equals(MeasureOf(Angle(B, C, A)), 60); Perpendicular(Line(D, A), Lin... |
geometry3k/train/846/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)), 10.8); Equals(MeasureOf(Angle(M, P, Q)), 81); PointLiesOnCircle(Q, Circle(P, radius_)); PointLiesOnCircle(... |
geometry3k/train/849/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(O, M)); PointLiesOnLine(R, Line(N, P)); "
}
] |
geometry3k/train/850/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(T, R), Line(T, S)); Perpendicular(Line(Q, S), Line(S, R)); Equals(LengthOf(Line(Q, T)), 18); Equals(LengthOf(Line(T,... |
geometry3k/train/851/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(W, Y, Z)), 53); PointLiesOnLine(V, Line(X, Z)); PointLiesOnLine(V, Line(Y, W)); "
}
] |
geometry3k/train/853/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, J), Line(K, L)); PointLiesOnLine(K, Line(L, H)); PointLiesOnLine(K, Line(J, G)); PointLiesOnCircle(J, Circle(L, r... |
geometry3k/train/856/img_diagram_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)), 3x-7); Equals(LengthOf(Line(B, D)), 2x); Equals(LengthOf(Line(D, E)), 14); Perpendicular(Line(B, D), Line(... |
geometry3k/train/857/img_diagram_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(B, A)), 15); Equals(LengthOf(Line(A, C)), 5); Perpendicular(Line(C, Y), Line(Y, B... |
geometry3k/train/861/img_diagram_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(E, D)), 45); Equals(MeasureOf(Angle(4)), MeasureOf(Angle(E, A, D))); Equals(MeasureOf(Arc(B, C)), 75); PointLiesOn... |
geometry3k/train/862/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, H)), 9); Equals(LengthOf(Line(J, Q)), 2y-1); Equals(LengthOf(Line(Q, P)), 8.1); Equals(MeasureOf(Angle(M, H, J)... |
geometry3k/train/863/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, B)), 5); Equals(MeasureOf(Angle(A, T, B)), 135); PointLiesOnLine(T, Line(R, A)); "
}
] |
geometry3k/train/864/img_diagram_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)), 21); Equals(LengthOf(Line(C, S)), 17); "
}
] |
geometry3k/train/866/img_diagram_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(MeasureOf(Angle(B, C, A)), 96); Equals(MeasureOf(Angle(A, B, C)), 39); Equals(LengthOf(Line(C, ... |
geometry3k/train/867/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)), LengthOf(Line(M, R))); Equals(LengthOf(Line(M, R)), LengthOf(Line(P, R))); "
}
] |
geometry3k/train/869/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, S)), MeasureOf(angle 2)); Equals(MeasureOf(angle 1), MeasureOf(Angle(V, S, W))); Equals(MeasureOf(Angle(V,... |
geometry3k/train/872/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(C, A)); PointLiesOnLine(P, Line(D, B)); "
}
] |
geometry3k/train/874/img_diagram_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)), 5); Equals(LengthOf(Line(A, B)), 12); PointLiesOnLine(P, Line(D, B)); PointLiesOnCircle(A, Circle(P, radiu... |
geometry3k/train/877/img_diagram_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)), 7); "
}
] |
geometry3k/train/882/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(E, Line(B, D)); PointLiesOnLine(E, Line(C, A)); "
}
] |
geometry3k/train/883/img_diagram_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)), 6); Equals(LengthOf(Line(S, Q)), 4); PointLiesOnLine(C, Line(S, R)); PointLiesOnCircle(P, Circle(R, radius... |
geometry3k/train/885/img_diagram_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(h), LengthOf(Line(B, A))); Equals(LengthOf(Line(C, A)), 15); Equals(MeasureOf(Angle(A, C, B)), 60); Perpendicular(Line(... |
geometry3k/train/886/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, Y)), 8); Equals(MeasureOf(Angle(Y, X, Z)), 60); Equals(LengthOf(Line(Z, X)), 8); "
}
] |
geometry3k/train/888/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)), 6); Perpendicular(Line(T, Q), Line(T, P)); PointLiesOnLine(T, Line(R, P)); PointLiesOnLine(T, Line(S, Q));... |
geometry3k/train/889/img_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(D, B)); PointLiesOnLine(C, Line(D, G)); PointLiesOnLine(C, Line(D, E)); PointLiesOnLine(G, Line(B, F)); PointLi... |
geometry3k/train/894/img_diagram_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, C)), 2x); Equals(MeasureOf(Angle(C, A, D)), 3x); Perpendicular(Line(A, B), Line(D, A)); "
}
] |
geometry3k/train/895/img_diagram_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)), z); Equals(LengthOf(Line(B, C)), 32); Equals(LengthOf(Line(B, D)), 15); Equals(LengthOf(Line(C, D)), 9); P... |
geometry3k/train/896/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)), LengthOf(Line(A, D))); Equals(LengthOf(Line(D, C)), LengthOf(Line(B, C))); PointLiesOnLine(T, Line(A, C));... |
geometry3k/train/899/img_diagram_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)), 40); Equals(MeasureOf(Angle(E, C, B)), 35); Equals(MeasureOf(Angle(6)), MeasureOf(Angle(B, C, D))); P... |
geometry3k/train/901/img_diagram_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)), 5.4); Perpendicular(Line(D, B), Line(C, B)); Equals(LengthOf(Line(C, E)), LengthOf(Line(C, B))); Equals(Le... |
geometry3k/train/903/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, E)), 2x-5); Equals(LengthOf(Line(F, A)), 4.6); Equals(LengthOf(Line(A, U)), 2.9); Equals(LengthOf(Line(S, A)), ... |
geometry3k/train/906/img_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(D, G), Line(G, F)); PointLiesOnLine(A, Line(E, G)); PointLiesOnLine(A, Line(F, D)); "
}
] |
geometry3k/train/908/img_diagram_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)), 9\\sqrt{2}); Equals(MeasureOf(Angle(A, B, C)), 45); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(... |
geometry3k/train/909/img_diagram_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)), 3.6); Equals(LengthOf(Line(D, C)), 9.2); Equals(LengthOf(Line(B, A)), LengthOf(Line(B, I))); Perpendicular... |
geometry3k/train/911/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(W, Z)), 8); Equals(LengthOf(Line(X, Y)), 20); Equals(MeasureOf(Angle(Z, Y, X)), 70); "
}
] |
geometry3k/train/913/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(F, G, H)), 2x); Equals(MeasureOf(Angle(B, C, A)), 80); Perpendicular(Line(F, H), Line(F, G)); Perpendicular(Line... |
geometry3k/train/914/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)), 1.3); Equals(MeasureOf(Angle(H, G, F)), 99); PointLiesOnCircle(H, Circle(G, radius_)); PointLiesOnCircle(F... |
geometry3k/train/916/img_diagram_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)), y); Equals(LengthOf(Line(E, B)), x); Equals(LengthOf(Line(B, A)), 5\\sqrt{2}); Perpendicular(Line(B, C), L... |
geometry3k/train/918/img_diagram_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, D, H)), 3x); Equals(MeasureOf(Angle(H, D, E)), x); PointLiesOnLine(D, Line(E, A)); "
}
] |
geometry3k/train/919/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(X, A, N)), 78); Equals(LengthOf(Line(A, X)), 3); Equals(LengthOf(Arc(X, N)), x); PointLiesOnCircle(X, Circle(A, ... |
geometry3k/train/921/img_diagram_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)), 3); Equals(LengthOf(Line(A, F)), 4); PointLiesOnLine(A, Line(D, G)); PointLiesOnLine(A, Line(F, C)); "
}... |
geometry3k/train/924/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 3); Equals(LengthOf(Line(C, A)), x); Equals(MeasureOf(Angle(A, C, B)), 45); Equals(LengthOf(Line(B, C)), y... |
geometry3k/train/927/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, Q)), y); Equals(LengthOf(Line(Q, J)), 2z); Equals(LengthOf(Line(Q, P)), 2x-6); Equals(LengthOf(Line(Q, K)), 7);... |
geometry3k/train/928/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, J)), 2y-5); Equals(LengthOf(Line(F, J)), y+12); Equals(LengthOf(Line(F, K)), 3x+7); Equals(LengthOf(Line(G, K))... |
geometry3k/train/929/img_diagram_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)), 15); Equals(LengthOf(Line(C, B)), x); Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/930/img_diagram_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(L, J)), 92); PointLiesOnCircle(K, Circle(A, radius_)); PointLiesOnCircle(J, Circle(A, radius_)); PointLiesOnCircle... |
geometry3k/train/933/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, M)), 6); Perpendicular(Line(L, M), Line(M, K)); Equals(LengthOf(Line(J, K)), LengthOf(Line(K, L))); PointLiesOn... |
geometry3k/train/936/img_diagram_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)), 11); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(B, C)), 9); Perpendicular(Line(A, C), Line(C, B... |
geometry3k/train/937/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(U, T)); PointLiesOnCircle(V, Circle(Q, radius_)); PointLiesOnCircle(T, Circle(Q, radius_)); PointLiesOnCircle(U... |
geometry3k/train/939/img_diagram_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, A, F)), x); Equals(MeasureOf(Angle(C, A, Y)), 2x); PointLiesOnLine(A, Line(Y, D)); PointLiesOnLine(A, Line(F,... |
geometry3k/train/940/img_diagram_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, N)), 2x+45); Equals(LengthOf(Line(F, E)), x); Equals(MeasureOf(Angle(A, E, D)), 3x); PointLiesOnLine(E, Li... |
geometry3k/train/941/img_diagram_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)), 12); Equals(MeasureOf(Angle(D, B, C)), 45); PointLiesOnLine(D, Line(B, A)); PointLiesOnCircle(A, Circle(D,... |
geometry3k/train/944/img_diagram_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(D, F)), 5); Equals(LengthOf(Line(B, D)), x); PointLiesOnCircle(F, Circle(D, radi... |
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