image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/608/img_diagram_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, E)), 5x+62); Equals(MeasureOf(Angle(C, B, D)), 37); Equals(MeasureOf(Angle(B, D, C)), 3x+47); PointLiesOnL... |
geometry3k/train/611/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)), 6); Equals(MeasureOf(Angle(E, D, A)), x); Equals(MeasureOf(Angle(B, D, C)), x); PointLiesOnLine(D, Line(E,... |
geometry3k/train/612/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)), 3y-8); Equals(MeasureOf(Angle(F, B, A)), 20); Equals(LengthOf(Line(A, D)), 13); Equals(LengthOf(Line(B, C)... |
geometry3k/train/613/img_diagram_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(B, C, D)), x); Equals(LengthOf(Line(B, A)), 9.6); Perpendicular(Line(B, D), Lin... |
geometry3k/train/614/img_diagram_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)), 7); Equals(LengthOf(Line(A, B)), x); Equals(MeasureOf(Angle(B, C, A)), 18); Equals(LengthOf(Line(C, B)), 1... |
geometry3k/train/616/img_diagram_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)), 4x+9); Equals(MeasureOf(Angle(A, D, C)), 7x-6); Equals(LengthOf(Line(C, D)), 7x-6); PointLiesOnLine(D, Lin... |
geometry3k/train/617/img_diagram_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, F, G)), x+20); Equals(MeasureOf(Angle(F, E, J)), x); Equals(MeasureOf(Angle(J, H, G)), x-5); Equals(MeasureOf... |
geometry3k/train/618/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(D, C), Line(E, B)); PointLiesOnLine(B, Line(A, C)); PointLiesOnLine(E, Line(D, A)); "
}
] |
geometry3k/train/619/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, B)), 72); Equals(LengthOf(Line(A, C)), 78); Perpendicular(Line(B, C), Line(B, ... |
geometry3k/train/622/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, S), Line(R, S)); PointLiesOnLine(S, Line(X, Y)); PointLiesOnLine(R, Line(X, Z)); PointLiesOnLine(R, Line(W, Y)); ... |
geometry3k/train/623/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)), 2x+4); Equals(LengthOf(Line(C, A)), 3x-1); Equals(LengthOf(Line(C, B)), 4x-8); "
}
] |
geometry3k/train/624/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(1)), MeasureOf(Angle(E, A, B))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(E, B, A))); Equals(MeasureOf(Angle(... |
geometry3k/train/625/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(R, P, S)), 130); Equals(MeasureOf(Angle(T, P, Q)), 112); PointLiesOnLine(P, Line(R, T)); PointLiesOnCircle(S, Ci... |
geometry3k/train/627/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, X, Y)), 105); Equals(MeasureOf(Angle(Z, Y, X)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(X, W, Z)), 23); ... |
geometry3k/train/628/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(A, E), Line(E, D)); PointLiesOnLine(E, Line(B, A)); PointLiesOnLine(E, Line(D, C)); PointLiesOnCircle(B, Circle(A, r... |
geometry3k/train/630/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, B)), x); Equals(MeasureOf(Angle(A, C, B)), 86); Equals(MeasureOf(Angle(B, A, C)), 33); Equals(LengthOf(Line(C, ... |
geometry3k/train/632/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(A, B)), 11.2); Equals(LengthOf(Line(B, C)), 12.4); Equals(MeasureOf(Angle(A, B, C... |
geometry3k/train/633/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)), 82); Equals(MeasureOf(Angle(R, P, Q)), 97); Equals(MeasureOf(Angle(P, R, S)), 3y-13); Equals(MeasureO... |
geometry3k/train/634/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, A)), 2x); Equals(LengthOf(Line(R, A)), x+9); Equals(LengthOf(Line(T, R)), 3x-9); "
}
] |
geometry3k/train/636/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(W, X), Line(W, Z)); PointLiesOnLine(P, Line(W, Y)); PointLiesOnLine(P, Line(X, Z)); "
}
] |
geometry3k/train/637/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)), 9x-1); Equals(LengthOf(Line(C, A)), 4x+1); Equals(LengthOf(Line(C, B)), 5x-0.5); Equals(LengthOf(Line(C, A... |
geometry3k/train/638/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(Z, X)), 14); Equals(LengthOf(Line(X, Y)), 7); Equals(LengthOf(Line(Z, Y)), x); Perpendicular(Line(X, Y), Line(Y, Z... |
geometry3k/train/639/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(P, S, R)), 15x+42); Equals(LengthOf(Line(Q, R)), 5); Equals(LengthOf(Angle(S, Q)), 10x-7); Equals(LengthOf(Line(... |
geometry3k/train/640/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, V), Line(X, V)); PointLiesOnLine(V, Line(T, Z)); PointLiesOnLine(V, Line(Y, X)); PointLiesOnLine(T, Line(W, V)); ... |
geometry3k/train/641/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, D)), 25); Equals(MeasureOf(Angle(E, C, B)), x); Equals(MeasureOf(Angle(B, D, C)), 20); PointLiesOnLine(C, ... |
geometry3k/train/642/img_diagram_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)), 15); Equals(LengthOf(Line(B, D)), y); Equals(LengthOf(Line(A, C)), 19); Equals(LengthOf(Line(A, B)), x); E... |
geometry3k/train/643/img_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(Q, N)); PointLiesOnLine(A, Line(P, M)); "
}
] |
geometry3k/train/646/img_diagram_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, H, B)), \\frac{1}{4}x); Equals(MeasureOf(Angle(H, D, B)), 4x-8); Equals(MeasureOf(Angle(B, C, H)), 8y-12); Eq... |
geometry3k/train/647/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, A, B)), 78); Equals(LengthOf(Line(C, A)), x); Equals(MeasureOf(Angle(A, B, C)), 60); Equals(LengthOf(Line(B, ... |
geometry3k/train/649/img_diagram_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)), 30); Equals(LengthOf(Line(B, D)), x); Equals(MeasureOf(Angle(A, C, B)), 42); Perpendicular(Line(D, A), Lin... |
geometry3k/train/650/img_diagram_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(A, C)), 133); Equals(MeasureOf(Arc(B, E)), 133); Equals(LengthOf(Line(A, C)), 4x-2); Equals(LengthOf(Line(E, B)), ... |
geometry3k/train/653/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, G)), 3x-2); Equals(LengthOf(Line(A, B)), 13); Equals(LengthOf(Line(F, H)), 11); Equals(LengthOf(Line(C, B)), 7)... |
geometry3k/train/656/img_diagram_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, X)), 5); Equals(LengthOf(Line(Y, W)), 8); PointLiesOnLine(A, Line(Y, W)); PointLiesOnLine(A, Line(Z, X)); "
}... |
geometry3k/train/657/img_diagram_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(A, B, C)), 24); Equals(LengthOf(Line(A, B)), 19); Perpendicular(Line(A, C), Lin... |
geometry3k/train/658/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, G)), x); Equals(LengthOf(Line(G, V)), 12); Equals(LengthOf(Line(M, B)), 16); Equals(LengthOf(Line(H, M)), 22); ... |
geometry3k/train/659/img_diagram_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-4); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(B, C)), 8); Perpendicular(Line(A, C), Line(C, ... |
geometry3k/train/660/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, C, B)), 6x); Equals(MeasureOf(Angle(C, A, F)), 139); Equals(MeasureOf(Angle(D, B, G)), 9x); Equals(MeasureOf(... |
geometry3k/train/661/img_diagram_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, N)), 6); Equals(LengthOf(Line(P, N)), x); Equals(LengthOf(Line(P, O)), 10); PointLiesOnLine(A, Line(O, P)); Poi... |
geometry3k/train/663/img_diagram_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)), 13); Equals(LengthOf(Line(B, C)), 5); Equals(MeasureOf(Angle(B, A, C)), x); Equals(LengthOf(Line(C, A)), 1... |
geometry3k/train/664/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)), 4x+3); Equals(LengthOf(Line(J, K)), 6x-5); Equals(LengthOf(Line(P, M)), 3y+8); Equals(LengthOf(Line(P, Q))... |
geometry3k/train/665/img_diagram_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, F)), 7y-4); Equals(MeasureOf(Angle(A, D, B)), 11x-1); Equals(MeasureOf(Angle(D, F, H)), 7x+9); Equals(Meas... |
geometry3k/train/666/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)), 4x); Equals(LengthOf(Line(K, J)), 3x+6); Equals(LengthOf(Line(L, J)), 5x-6); Equals(LengthOf(Line(K, L)), ... |
geometry3k/train/668/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(Y, Line(I, C)); PointLiesOnLine(W, Line(I, C)); PointLiesOnLine(X, Line(C, I)); PointLiesOnLine(W, Line(Y, I)); PointLi... |
geometry3k/train/669/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, A)), x); Equals(LengthOf(Line(E, D)), 9); Equals(LengthOf(Line(A, E)), 3); PointLiesOnLine(E, Line(B, A)); Poin... |
geometry3k/train/670/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, T)), 14.8); Equals(LengthOf(Line(Z, Y)), 8); Equals(LengthOf(Line(R, V)), x); PointLiesOnLine(Z, Line(W, R)); P... |
geometry3k/train/671/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(P, R)); "
}
] |
geometry3k/train/672/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, B)), 3y-4); Equals(MeasureOf(Angle(F, C, D)), 54); Equals(LengthOf(Line(C, D)), 25); Equals(LengthOf(Line(B, A)... |
geometry3k/train/673/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)); PointLiesOnCircle(B, Circle(E, radius_)); PointLiesOnCircle(A, Circle(E... |
geometry3k/train/676/img_diagram_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, T)), 12); Equals(LengthOf(Line(E, A)), LengthOf(Line(F, A))); Equals(LengthOf(Line(C, F)), LengthOf(Line(C, D))... |
geometry3k/train/677/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), 2b+3); Equals(LengthOf(Line(M, J)), 3a); Equals(LengthOf(Line(K, L)), 21); Equals(MeasureOf(Angle(K, L, R)... |
geometry3k/train/678/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, D)), 5.3); Perpendicular(Line(D, B), Line(D, C)); Perpendicular(Line(A, B), Line(B, C)); PointLiesOnLine(D, Lin... |
geometry3k/train/679/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 10.2); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(B, C)), 6.3); Perpendicular(Line(A, B), Line(... |
geometry3k/train/680/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, X)), 5); Equals(LengthOf(Line(A, Y)), 9); Perpendicular(Line(A, Z), Line(X, A)); Perpendicular(Line(Z, Y), Line... |
geometry3k/train/681/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)), 109); Equals(LengthOf(Line(M, L)), 6); "
}
] |
geometry3k/train/682/img_diagram_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(V, X, V)), 14); PointLiesOnLine(F, Line(W, X)); PointLiesOnCircle(X, Circle(F, radius_)); PointLiesOnCircle(V, C... |
geometry3k/train/683/img_diagram_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+15); Equals(LengthOf(Line(B, E)), x); Perpendicular(Line(B, E), Line(C, E)); PointLiesOnLine(E, Line(C, ... |
geometry3k/train/687/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, J)), 3); Equals(MeasureOf(Arc(C, E)), 5x-6); Equals(MeasureOf(Arc(C, J)), 4x+8); PointLiesOnLine(J, Line(E... |
geometry3k/train/688/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, C)), 7); Equals(LengthOf(Line(R, M)), 4); Equals(LengthOf(Line(S, B)), LengthOf(Line(S, A))); Equals(LengthOf(L... |
geometry3k/train/690/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, Q)), 8); Equals(LengthOf(Line(W, X)), 4); Equals(LengthOf(Line(N, P)), 10); Equals(LengthOf(Line(M, N)), 9); Eq... |
geometry3k/train/694/img_diagram_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)), 80); Equals(LengthOf(Line(B, A)), 4y-2); Equals(LengthOf(Line(C, A)), 2y+2); Equals(MeasureOf(Angle(A... |
geometry3k/train/697/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)), 3y); Equals(LengthOf(Line(J, L)), 7); Equals(LengthOf(Line(L, M)), 9x); Equals(LengthOf(Line(N, K)), 36); ... |
geometry3k/train/698/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, V, S)), 75); Equals(MeasureOf(Angle(P, V, T)), 72); Perpendicular(Line(R, V), Line(S, V)); PointLiesOnLine(V,... |
geometry3k/train/699/img_diagram_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(X, O)), x+4); Equals(LengthOf(Line(O, W)), x-9); Equals(LengthOf(Line(O, Y)), x); Equals(LengthOf(Line(Z, O)), x-1... |
geometry3k/train/703/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, D)), LengthOf(Line(B, C))); PointLiesOnLine(P, Line(A, C)); PointLiesOnLine(P, Line(D, B)); "
}
] |
geometry3k/train/704/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, J)), 3f-6); Equals(MeasureOf(Angle(K, J, M)), 56); Equals(MeasureOf(Angle(J, M, L)), 3d-2); Equals(LengthOf(Lin... |
geometry3k/train/705/img_diagram_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)), 12); Equals(LengthOf(Line(A, C)), LengthOf(h)); Equals(MeasureOf(Angle(C, B, A)), 30); Perpendicular(Line(... |
geometry3k/train/708/img_diagram_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, H)), 16); PointLiesOnCircle(A, Circle(G, radius_)); PointLiesOnCircle(C, Circle(G, radius_)); PointLiesOnCircle... |
geometry3k/train/710/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, B)), 11); "
}
] |
geometry3k/train/711/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)), 15); Equals(MeasureOf(Angle(B, D, E)), 82); Equals(LengthOf(Line(E, F)), 9.2); PointLiesOnLine(F, Line(C, ... |
geometry3k/train/712/img_diagram_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)), 6); Equals(MeasureOf(Angle(C, A, B)), 45); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(A, C), Line... |
geometry3k/train/715/img_diagram_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, C)), 12.25); Equals(LengthOf(Line(G, A)), y); Equals(LengthOf(Line(A, F)), 2x); Equals(LengthOf(Line(B, F)), 24... |
geometry3k/train/719/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(U, Line(W, Y)); PointLiesOnLine(U, Line(X, Z)); "
}
] |
geometry3k/train/721/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(R, J), Line(H, S)); Parallel(Line(H, S), Line(K, Q)); Parallel(Line(Q, K), Line(L, P)); PointLiesOnLine(K, Line(H, M)); P... |
geometry3k/train/724/img_diagram_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, H)), x-10); Equals(MeasureOf(Angle(G, M, O)), 104); Parallel(Line(J, O), Line(H, D)); PointLiesOnLine(M, L... |
geometry3k/train/725/img_diagram_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(P, A)), 8); Perpendicular(Line(C, P), Line(B, C)); Perpendicular(Line(A, P), Line(A, B)); Equals(MeasureOf(Angle(P... |
geometry3k/train/728/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, X, V)), 2x+65); Equals(MeasureOf(Angle(Y, X, W)), 4x+15); PointLiesOnLine(X, Line(W, Z)); PointLiesOnLine(X, ... |
geometry3k/train/729/img_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(E, F), Line(F, C)); PointLiesOnLine(F, Line(A, C)); PointLiesOnLine(F, Line(E, D)); PointLiesOnLine(C, Line(F, B)); ... |
geometry3k/train/730/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(E, F), Line(H, L)); PointLiesOnLine(L, Line(G, F)); PointLiesOnLine(H, Line(E, G)); "
}
] |
geometry3k/train/731/img_diagram_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, F)), 53); Equals(MeasureOf(Angle(E, C, B)), MeasureOf(Angle(2))); PointLiesOnLine(C, Line(B, F)); PointLie... |
geometry3k/train/732/img_diagram_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(B, A)), x); Equals(MeasureOf(Angle(B, C, A)), 60); Equals(LengthOf(Line(C, A)), 1... |
geometry3k/train/733/img_diagram_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(3)), MeasureOf(Angle(A, D, F))); Equals(MeasureOf(Angle(4)), MeasureOf(Angle(F, D, G))); Equals(MeasureOf(Angle(... |
geometry3k/train/734/img_diagram_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, H)), 3r); PointLiesOnLine(D, Line(A, C)); PointLiesOnLine(J, Line(A, F)); PointLiesOnLine(I, Line(C, E)); Point... |
geometry3k/train/735/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(S, Q)); PointLiesOnLine(P, Line(T, R)); "
}
] |
geometry3k/train/739/img_diagram_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, C, D)), 18); Equals(LengthOf(Line(C, D)), 22); Equals(MeasureOf(Angle(C, D, X)), 105); "
}
] |
geometry3k/train/741/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)), 10); Equals(LengthOf(Line(H, J)), x); "
}
] |
geometry3k/train/743/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(C, B), Line(E, D)); PointLiesOnLine(B, Line(E, A)); PointLiesOnLine(C, Line(D, A)); "
}
] |
geometry3k/train/744/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, E)), 10); Equals(LengthOf(Line(H, K)), 5); Equals(LengthOf(Line(I, E)), 5); Equals(LengthOf(Line(I, B)), 7); Eq... |
geometry3k/train/745/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)), 15); Equals(LengthOf(Line(R, S)), 26); PointLiesOnLine(A, Line(R, V)); PointLiesOnLine(B, Line(T, S)); "
... |
geometry3k/train/747/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(Z, Y)); PointLiesOnLine(Q, Line(X, Z)); "
}
] |
geometry3k/train/749/img_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(P, C), Line(S, Y)); Perpendicular(Line(B, Y), Line(Y, S)); Perpendicular(Line(C, Q), Line(Q, B)); PointLiesOnLine(S,... |
geometry3k/train/750/img_diagram_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)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(A, E, B))); Equals(MeasureOf(Angle(... |
geometry3k/train/751/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(H, Line(G, J)); "
}
] |
geometry3k/train/752/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, L)), 17); Equals(LengthOf(Line(N, M)), 2x+7); Equals(LengthOf(Line(N, L)), 3x-4); Equals(LengthOf(Line(L, N)), ... |
geometry3k/train/753/img_diagram_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, C, Y)), 128); Equals(MeasureOf(Arc(W, Y)), 154); Equals(MeasureOf(Arc(Z, X)), x); PointLiesOnLine(C, Line(Z, ... |
geometry3k/train/754/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)), 12); Equals(LengthOf(Line(H, G)), 12); Perpendicular(Line(E, H), Line(H, G)); Perpendicular(Line(E, G), Li... |
geometry3k/train/755/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, T, W)), MeasureOf(Angle(Y, W, T))); Equals(MeasureOf(Angle(T, Z, Y)), MeasureOf(Angle(W, Y, Z))); "
}
] |
geometry3k/train/756/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, Q, R)), 2x+5); Equals(MeasureOf(Angle(Q, R, S)), x); Equals(MeasureOf(Angle(S, T, Q)), x); Equals(MeasureOf(A... |
geometry3k/train/761/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(A, B)), 5); Equals(LengthOf(Line(B, C)), 5); Perpendicular(Line(B, C), Line(B, A)... |
geometry3k/train/763/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), 12); Equals(LengthOf(Line(Q, P)), 15); "
}
] |
geometry3k/train/764/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, F, D)), 81); PointLiesOnCircle(D, Circle(A, radius_)); PointLiesOnCircle(F, Circle(A, radius_)); PointLiesOnC... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.