image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/537/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, C)), 46); Equals(LengthOf(Line(E, H)), 38); PointLiesOnLine(E, Line(D, F)); PointLiesOnLine(H, Line(G, C)); "
... |
geometry3k/train/540/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), 8); Equals(LengthOf(Line(S, J)), 10); Equals(MeasureOf(Angle(K, L, S)), 24.5); Equals(MeasureOf(Angle(L, P... |
geometry3k/train/541/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, T)), 18); Equals(LengthOf(Line(W, T)), 12); Equals(MeasureOf(Angle(V, W, T)), 60); Perpendicular(Line(T, A), Li... |
geometry3k/train/542/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, F)), 17); Equals(LengthOf(Line(F, G)), 9x-6); Equals(LengthOf(Line(H, G)), 7x+4); Equals(LengthOf(Line(G, F)), ... |
geometry3k/train/543/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(B, A)), 6\\sqrt{3}); Equals(MeasureOf(Angle(B, C, A)), 60); Equals(LengthOf(Line(... |
geometry3k/train/544/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x+2); Equals(LengthOf(Line(C, B)), 8); Equals(LengthOf(Line(D, C)), y-3); Equals(LengthOf(Line(G, H)), 5);... |
geometry3k/train/545/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, F)), x-11); Equals(MeasureOf(Angle(A, B, E)), x+10); Equals(MeasureOf(Angle(B, D, G)), 31); Equals(Measure... |
geometry3k/train/550/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(R, Line(U, S)); PointLiesOnCircle(V, Circle(R, radius_)); PointLiesOnCircle(U, Circle(R, radius_)); PointLiesOnCircle(T... |
geometry3k/train/551/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(L, K, L)), 164); Equals(LengthOf(Line(K, J)), 15); PointLiesOnCircle(J, Circle(K, radius_)); PointLiesOnCircle(L... |
geometry3k/train/552/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(T, Q, S)), MeasureOf(Angle(M, J, L))); Equals(MeasureOf(Angle(S, T, Q)), MeasureOf(Angle(L, M, J))); Equals(Leng... |
geometry3k/train/553/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), 20); Equals(LengthOf(Line(C, B)), y); Equals(MeasureOf(Angle(B, A, C)), 60); Equals(LengthOf(Line(A, C)), ... |
geometry3k/train/554/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(K, M)), 20); Equals(LengthOf(Line(K, L)), z); Equals(LengthOf(Line(L, M)), x); Equals(LengthOf(Line(J, M)), 5); Eq... |
geometry3k/train/555/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(B, C)), 28); Equals(LengthOf(Line(A, C)), 20); Perpendicular(Line(C, B), Line(A, ... |
geometry3k/train/557/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, P)), 10); PointLiesOnLine(R, Line(Q, M)); PointLiesOnLine(R, Line(L, P)); "
}
] |
geometry3k/train/560/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, R)), 6x-5); Equals(LengthOf(Line(R, Q)), 5x); Equals(LengthOf(Line(Q, S)), 3x+10); Equals(LengthOf(Line(R, S)),... |
geometry3k/train/562/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 6); Equals(LengthOf(Line(C, A)), 8); Equals(LengthOf(Line(S, A)), z); Equals(LengthOf(Line(B, S)), x); Per... |
geometry3k/train/563/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(W, W')), x); Equals(LengthOf(Line(W', F)), 10.5); Equals(LengthOf(Line(W, F)), 14); PointLiesOnLine(C, Line(F, A))... |
geometry3k/train/564/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, J, P)), 57); Equals(MeasureOf(Angle(J, H, L)), x); PointLiesOnLine(J, Line(K, L)); PointLiesOnLine(P, Line(M,... |
geometry3k/train/565/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, B)), x); Equals(LengthOf(Line(B, D)), 3); Equals(LengthOf(Line(C, F)), 5); Equals(LengthOf(Line(D, A)), 9); Poi... |
geometry3k/train/566/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(7)), MeasureOf(Angle(K, M, P))); Equals(MeasureOf(Angle(5)), MeasureOf(Angle(K, M, H))); Equals(MeasureOf(Angle(... |
geometry3k/train/568/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(L, J, H)), x); Equals(MeasureOf(Angle(M, H, P)), 44); Equals(MeasureOf(Angle(J, H, L)), 76); PointLiesOnLine(J, ... |
geometry3k/train/569/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 14); Equals(LengthOf(Line(A, M)), 9); Equals(LengthOf(Line(M, E)), 15); PointLiesOnLine(A, Line(B, M)); Po... |
geometry3k/train/572/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(L, G)), 3); Equals(LengthOf(Line(E, L)), 4); Equals(LengthOf(Line(G, O)), x); Equals(LengthOf(Line(S, E)), 9); Poi... |
geometry3k/train/573/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), x+15); Equals(LengthOf(Line(B, C)), 2x-5); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(C, ... |
geometry3k/train/574/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, H)), 6x+1); Equals(LengthOf(Line(F, G)), 3x+10); Equals(LengthOf(Line(G, H)), 9x-8); "
}
] |
geometry3k/train/575/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, J, K)), 3y+9); Equals(MeasureOf(Angle(G, K, J)), x+21); Equals(MeasureOf(Angle(G, H, J)), 2x); Equals(Measure... |
geometry3k/train/576/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(M, Line(R, H)); PointLiesOnCircle(U, Circle(M, radius_)); PointLiesOnCircle(A, Circle(M, radius_)); PointLiesOnCircle(S... |
geometry3k/train/577/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, K, G)), 122); PointLiesOnLine(K, Line(G, J)); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(H, ... |
geometry3k/train/579/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(N, S)), 9); PointLiesOnCircle(P, Circle(J, radius_)); PointLiesOnCircle(S, Circle(J, radius_)); PointLiesOnCircle(... |
geometry3k/train/580/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, A)), 12); Equals(LengthOf(Line(D, C)), 9); Equals(LengthOf(Line(F, D)), x); Equals(LengthOf(Line(Y, Z)), 10); E... |
geometry3k/train/583/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, D)), x+25); Equals(MeasureOf(Angle(C, D, E)), 2x-22); Equals(MeasureOf(Angle(C, B, A)), 1.5x+3); Equals(Me... |
geometry3k/train/585/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, X)), x+2); Equals(LengthOf(Line(S, Z)), x+6); Equals(LengthOf(Line(Y, S)), x+12); Equals(LengthOf(Line(W, S)), ... |
geometry3k/train/586/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(B, A)), 15); Equals(MeasureOf(Angle(C, B, A)), 30); Equals(LengthOf(Line(B, C)), ... |
geometry3k/train/588/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, R)), 5x-9); Equals(LengthOf(Line(V, T)), 2x+3); Equals(LengthOf(Arc(R, S)), LengthOf(Arc(V, T))); PointLiesOnCi... |
geometry3k/train/589/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(J, M, L)), 2x-8); Equals(MeasureOf(Angle(M, J, K)), 3x-6); Equals(MeasureOf(Angle(L, K, J)), x+10); Equals(Measu... |
geometry3k/train/590/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(2)), MeasureOf(Angle(R, G, B))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(F, G, B))); Equals(MeasureOf(Angle(... |
geometry3k/train/591/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 5\\sqrt{2}); Equals(LengthOf(Line(A, B)), LengthOf(Line(C, B))); PointLiesOnLine(D, Line(A, C)); PointLies... |
geometry3k/train/592/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, E)), 20); Equals(LengthOf(Line(E, D)), 30); Equals(LengthOf(Line(E, C)), 20); Equals(LengthOf(Line(A, E)), 30);... |
geometry3k/train/593/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(C, A)), 120); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(E, B, D))); Equals(MeasureOf(Arc(D, E)), 100); PointLies... |
geometry3k/train/595/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(O, A), Line(O, C)); PointLiesOnLine(O, Line(C, E)); PointLiesOnLine(O, Line(A, B)); PointLiesOnCircle(E, Circle(O, r... |
geometry3k/train/596/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 5); Equals(LengthOf(Line(T, C)), 12); Equals(MeasureOf(Angle(C, T, Q)), 120); Equals(MeasureOf(Angle(R, B,... |
geometry3k/train/597/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, E)), 5); Equals(LengthOf(Line(A, D)), 8); Equals(LengthOf(Line(D, F)), 6); PointLiesOnLine(D, Line(F, A)); Poin... |
geometry3k/train/598/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, E, D)), 45); Equals(LengthOf(Line(G, A)), x); Equals(LengthOf(Line(A, E)), 8); Equals(LengthOf(Line(G, D)), y... |
geometry3k/train/603/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, D)), 4.2); Equals(LengthOf(Line(B, D)), 5.4); Perpendicular(Line(E, B), Line(B, D)); Equals(LengthOf(Line(D, F)... |
geometry3k/train/605/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, D, C)), x); Equals(LengthOf(Line(C, A)), 24); Equals(LengthOf(Line(D, A)), 36); Equals(MeasureOf(Angle(C, A, ... |
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(C, D, B)), 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(C, D, B)), x); PointLiesOnLine(D, Line(C,... |
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(B, A)), 3y-8); Equals(MeasureOf(Angle(A, B, F)), 20); Equals(LengthOf(Line(D, A)), 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(D, C, B)), x); Equals(LengthOf(Line(B, A)), 9.6); Perpendicular(Line(D, C), 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(A, C, B)), 18); Equals(LengthOf(Line(B, C)), 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(D, C)), 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(C, A)); PointLiesOnLine(E, Line(A, D)); "
}
] |
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(C, B), Line(A, ... |
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(Z, X)); PointLiesOnLine(R, Line(Y, W)); ... |
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(A, C)), 3x-1); Equals(LengthOf(Line(B, C)), 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(B, A, E)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(A, B, E))); 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(Q, P, T)), 112); PointLiesOnLine(P, Line(T, R)); 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(Y, X, Z)), 105); Equals(MeasureOf(Angle(X, Y, Z)), 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(A, B)); PointLiesOnLine(E, Line(C, D)); 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(C, A, B)), 33); Equals(LengthOf(Line(A, ... |
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(C, B)), 12.4); Equals(MeasureOf(Angle(C, B, A... |
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(A, R)), x+9); Equals(LengthOf(Line(R, T)), 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(Y, W)); PointLiesOnLine(P, Line(Z, X)); "
}
] |
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(A, C... |
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(Y, X), Line(Z, Y... |
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(R, S, P)), 15x+42); Equals(LengthOf(Line(Q, R)), 5); Equals(LengthOf(Angle(Q, S)), 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(V, X)); PointLiesOnLine(V, Line(Z, T)); PointLiesOnLine(V, Line(Y, X)); PointLiesOnLine(T, Line(V, W)); ... |
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(C, D, B)), 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(D, B)), y); Equals(LengthOf(Line(C, A)), 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(N, Q)); PointLiesOnLine(A, Line(M, P)); "
}
] |
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(H, C, B)), 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(C, B, A)), 60); Equals(LengthOf(Line(C, ... |
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(B, C)), 30); Equals(LengthOf(Line(D, B)), x); Equals(MeasureOf(Angle(A, C, B)), 42); Perpendicular(Line(D, B), 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(C, A)), 4x-2); Equals(LengthOf(Line(B, E)), ... |
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(W, Y)); PointLiesOnLine(A, Line(X, Z)); "
}... |
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(C, A), 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(V, G)), 12); Equals(LengthOf(Line(B, M)), 16); Equals(LengthOf(Line(M, H)), 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(C, A), Line(B, ... |
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(F, A, C)), 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(O, P)), 10); PointLiesOnLine(A, Line(P, O)); 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(C, A, B)), x); Equals(LengthOf(Line(A, C)), 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(L, K)), 4x+3); Equals(LengthOf(Line(K, J)), 6x-5); Equals(LengthOf(Line(M, P)), 3y+8); Equals(LengthOf(Line(Q, P))... |
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(B, D, A)), 11x-1); Equals(MeasureOf(Angle(H, F, D)), 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(K, L)), 4x); Equals(LengthOf(Line(K, J)), 3x+6); Equals(LengthOf(Line(L, J)), 5x-6); Equals(LengthOf(Line(L, K)), ... |
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(C, I)); PointLiesOnLine(X, Line(C, I)); PointLiesOnLine(W, Line(I, Y)); 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(A, F)), x); Equals(LengthOf(Line(E, D)), 9); Equals(LengthOf(Line(A, E)), 3); PointLiesOnLine(E, Line(A, B)); 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(R, W)); 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(R, P)); "
}
] |
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(D, C)), 25); Equals(LengthOf(Line(A, B)... |
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(D, B)); PointLiesOnLine(E, Line(A, C)); 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(T, F)), 12); Equals(LengthOf(Line(F, A)), LengthOf(Line(A, E))); Equals(LengthOf(Line(C, D)), LengthOf(Line(C, F))... |
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(K, J)), 2b+3); Equals(LengthOf(Line(M, J)), 3a); Equals(LengthOf(Line(K, L)), 21); Equals(MeasureOf(Angle(R, L, K)... |
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, C), Line(B, D)); Perpendicular(Line(B, A), 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(B, A), 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(X, A)), 5); Equals(LengthOf(Line(Y, A)), 9); Perpendicular(Line(Z, A), Line(X, A)); Perpendicular(Line(Z, A), 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(J, K, L)), 109); Equals(LengthOf(Line(L, M)), 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(X, W)); PointLiesOnCircle(X, Circle(F, radius_)); PointLiesOnCircle(V, C... |
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