image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/1384/img_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)), 4); Equals(LengthOf(Line(D, A)), 12); Equals(LengthOf(Line(D, C)), 5.5); Equals(LengthOf(Line(A, C)), x); ... |
geometry3k/train/1388/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(3)), MeasureOf(Angle(M, J, K))); Equals(MeasureOf(Angle(J, K, L)), 28); Equals(MeasureOf(Angle(M, K, L)), 71); E... |
geometry3k/train/1389/img_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)), x); Equals(MeasureOf(Angle(D, A, C)), x); Equals(MeasureOf(Angle(B, A, D)), x); "
}
] |
geometry3k/train/1394/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, G)), 5); Equals(LengthOf(Line(D, G)), 6.5); Equals(LengthOf(Line(D, E)), 6.5); Perpendicular(Line(D, F), Line(E... |
geometry3k/train/1395/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, M)), 11); Equals(MeasureOf(Angle(P, N, M)), 120); Equals(MeasureOf(Angle(N, P, M)), MeasureOf(Angle(N, M, P)));... |
geometry3k/train/1399/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)), 3); Equals(MeasureOf(Angle(P, M, Q)), x); Equals(LengthOf(Line(M, Q)), 6); Equals(LengthOf(Line(Q, P)), 8)... |
geometry3k/train/1400/img_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)), 10); Perpendicular(Line(A, I), Line(A, C)); PointLiesOnCircle(A, Circle(N, radius_)); PointLiesOnCircle(C,... |
geometry3k/train/1405/img_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, C, D)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(F, C, A))); Equals(MeasureOf(Angle(... |
geometry3k/train/1407/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, L, Q)), 26); Equals(LengthOf(Line(J, P)), 20); Equals(MeasureOf(Angle(Q, K, M)), 29); Equals(LengthOf(Line(Q,... |
geometry3k/train/1408/img_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)), 9); Equals(LengthOf(Line(C, B)), 9); Equals(LengthOf(Line(D, B)), x); Equals(LengthOf(Line(C, A)), 12); Pe... |
geometry3k/train/1414/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+2); Equals(LengthOf(Line(R, T)), 4x+3); Equals(LengthOf(Line(W, R)), 12); Equals(LengthOf(Line(S, W)), ... |
geometry3k/train/1415/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, B, C)), 7x-8); Equals(MeasureOf(Angle(B, C, A)), 5y-3); Equals(MeasureOf(Angle(D, A, C)), 5x); Equals(Measure... |
geometry3k/train/1417/img_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(B, C)), 96); Equals(MeasureOf(Angle(B, A, C)), MeasureOf(Angle(1))); PointLiesOnCircle(A, Circle(D, radius_)); Poi... |
geometry3k/train/1418/img_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(I, F)), 16); Equals(LengthOf(Line(F, B)), 14); Equals(LengthOf(Line(H, I)), 12); Equals(LengthOf(Line(B, C)), 24);... |
geometry3k/train/1422/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)), x); Equals(MeasureOf(Angle(L, K, J)), 152); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J,... |
geometry3k/train/1426/img_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, E, A)), 95); Equals(MeasureOf(Angle(A, F, D)), 120); PointLiesOnLine(E, Line(C, A)); PointLiesOnLine(E, Line(... |
geometry3k/train/1427/img_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)), 55); Equals(LengthOf(Line(E, C)), x+4); Equals(MeasureOf(Angle(E, A, D)), 60); Equals(MeasureOf(Angle... |
geometry3k/train/1430/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, M, N)), y+10); Equals(LengthOf(Line(Q, R)), 3x-9); Equals(LengthOf(Line(M, L)), 2x+11); Equals(MeasureOf(Angl... |
geometry3k/train/1435/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)), x); Equals(LengthOf(Line(T, Q)), 20); Equals(LengthOf(Line(R, S)), 12); Equals(LengthOf(Line(T, P)), 16); ... |
geometry3k/train/1436/img_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, C, F)), 3x - 14); Equals(MeasureOf(Angle(A, X, N)), 2x+25); PointLiesOnLine(X, Line(A, C)); PointLiesOnLine(C... |
geometry3k/train/1437/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(P, Q), Line(N, M)); PointLiesOnLine(Q, Line(M, N)); "
}
] |
geometry3k/train/1440/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, D, B)), 6x); Equals(MeasureOf(Angle(Y, D, E)), 3x); Perpendicular(Line(D, A), Line(D, Y)); PointLiesOnLine(D,... |
geometry3k/train/1441/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(G, E, L)), 5x+2); Equals(MeasureOf(Angle(A, E, I)), 62); PointLiesOnLine(E, Line(A, G)); PointLiesOnLine(E, Line... |
geometry3k/train/1442/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, T)), 2y-8); Equals(LengthOf(Line(C, B)), y+13); Equals(MeasureOf(Angle(R, S, T)), 5x+20); Equals(MeasureOf(Angl... |
geometry3k/train/1443/img_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(LengthOf(Line(B, C)), 14); Equals(LengthOf(Line(A, C)), x); PointLiesOnLine(F, Line(B, A)); Po... |
geometry3k/train/1445/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Y, Z)), 4x+5); Equals(MeasureOf(Angle(Y, W, Z)), 33); Equals(MeasureOf(Angle(Y, W, X)), 33); Equals(LengthOf(Line(... |
geometry3k/train/1449/img_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, A, X)), MeasureOf(Angle(11))); Equals(MeasureOf(Angle(7)), MeasureOf(Angle(Y, W, A))); Equals(MeasureOf(Angle... |
geometry3k/train/1450/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, S)), 21); Equals(LengthOf(Line(R, T)), 44); Perpendicular(Line(R, S), Line(T, S)); "
}
] |
geometry3k/train/1451/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(X, Y)); "
}
] |
geometry3k/train/1454/img_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)), 8); Equals(LengthOf(Line(A, B)), 4); Equals(LengthOf(Line(A, D)), 3); Equals(LengthOf(Line(E, D)), x); Poi... |
geometry3k/train/1457/img_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, K)), x+1); Equals(LengthOf(Line(K, J)), x+10); Equals(LengthOf(Line(M, K)), x+8); Equals(LengthOf(Line(L, K)), ... |
geometry3k/train/1458/img_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(A, C)), 14); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(LengthOf(Line(A, B)), ... |
geometry3k/train/1459/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 19.6); Equals(LengthOf(Line(A, C)), 16.2); Equals(MeasureOf(Angle(C, B, A)), x); Equals(LengthOf(Line(A, B... |
geometry3k/train/1464/img_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)), 24); Equals(LengthOf(Line(A, X)), x); Equals(LengthOf(Line(B, C)), 7); PointLiesOnLine(X, Line(A, C)); Poi... |
geometry3k/train/1465/img_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, L)), 8); PointLiesOnLine(E, Line(N, M)); PointLiesOnLine(F, Line(L, N)); PointLiesOnLine(D, Line(M, L)); PointL... |
geometry3k/train/1468/img_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(P, C, E)), 57); Equals(MeasureOf(Angle(D, F, A)), 3x - 9); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(C, Li... |
geometry3k/train/1469/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, R)), 3); Equals(LengthOf(Line(R, M)), 6); Equals(LengthOf(Line(Q, R)), 10); Equals(LengthOf(Line(P, R)), x); Po... |
geometry3k/train/1473/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(B, E)); PointLiesOnLine(F, Line(A, D)); "
}
] |
geometry3k/train/1474/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, F, G)), 60); Equals(MeasureOf(Angle(H, G, H)), 60); Equals(LengthOf(Line(H, G)), 12); "
}
] |
geometry3k/train/1477/img_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)), 34); Equals(MeasureOf(Angle(C, B, A)), 31); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Lin... |
geometry3k/train/1478/img_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)), x); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(MeasureOf(Angle(B, C, A)), x); "
}
] |
geometry3k/train/1479/img_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)), 20); Equals(LengthOf(Line(F, D)), 10); Equals(LengthOf(Line(D, E)), 15); Equals(LengthOf(Line(B, E)), 12);... |
geometry3k/train/1483/img_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, B)), 15); Equals(LengthOf(Line(T, B)), 15); Perpendicular(Line(T, B), Line(U, B)); PointLiesOnLine(B, Line(A, U... |
geometry3k/train/1484/img_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(A, B), Line(A, C)); Equals(LengthOf(Line(A, C)), LengthOf(Line(A, B))); Equals(LengthOf(Line(A, B)), 6\\sqrt{2}); Po... |
geometry3k/train/1487/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(C, B)), 14); Perpendicular(Line(A, B), Line(A, C)); "
}
] |
geometry3k/train/1488/img_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)), 120); Parallel(Line(Z, A), Line(G, F)); PointLiesOnLine(X, Line(C, E)); PointLiesOnLine(X, Line(F, G)... |
geometry3k/train/1491/img_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, L)), 36); Equals(LengthOf(Line(A, L)), 27); Equals(LengthOf(Line(B, A)), 40); Perpendicular(Line(N, L), Line(L,... |
geometry3k/train/1492/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(J, G, D)), 4x+4); Equals(MeasureOf(Angle(B, D, O)), x+1); Equals(MeasureOf(Angle(C, F, G)), 3x+3); Equals(Measur... |
geometry3k/train/1495/img_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, A, E)), 3x); Equals(MeasureOf(Angle(F, A, D)), 2x); Perpendicular(Line(A, H), Line(A, D)); PointLiesOnLine(A,... |
geometry3k/train/1496/img_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(G, C, D))); Equals(MeasureOf(Angle(D, G, C)), MeasureOf(Angle(8))); Equals(MeasureOf(Angle(... |
geometry3k/train/1497/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, K)), 12); Equals(LengthOf(Line(G, D)), 9); PointLiesOnLine(K, Line(H, D)); PointLiesOnLine(J, Line(D, F)); Poin... |
geometry3k/train/1499/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-2); Equals(LengthOf(Line(A, D)), 10); Equals(LengthOf(Line(D, E)), 4); Equals(LengthOf(Line(B, C)), 5); ... |
geometry3k/train/1502/img_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)), 6); Equals(LengthOf(Line(B, E)), 5); Equals(LengthOf(Line(A, E)), x); PointLiesOnLine(E, Line(A, B)); Poin... |
geometry3k/train/1503/img_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(U, V)), 7); Equals(LengthOf(Line(U, X)), 12); PointLiesOnLine(A, Line(X, V)); PointLiesOnCircle(U, Circle(V, radiu... |
geometry3k/train/1506/img_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)), 4); Equals(LengthOf(Line(E, F)), 3); PointLiesOnLine(C, Line(F, D)); PointLiesOnCircle(E, Circle(F, radius... |
geometry3k/train/1507/img_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)), 19); Equals(MeasureOf(Angle(A, B, C)), 27); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Lin... |
geometry3k/train/1510/img_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(B, D)), 154); PointLiesOnCircle(B, Circle(G, radius_)); PointLiesOnCircle(C, Circle(G, radius_)); PointLiesOnCircl... |
geometry3k/train/1512/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(B, E)); PointLiesOnLine(D, Line(B, A)); PointLiesOnLine(F, Line(C, D)); PointLiesOnLine(E, Line(C, A)); "
}
] |
geometry3k/train/1516/img_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, A)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(4)), MeasureOf(Angle(C, A, B))); Equals(MeasureOf(Angle(... |
geometry3k/train/1517/img_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)), 6); PointLiesOnCircle(A, Circle(B, radius_)); "
}
] |
geometry3k/train/1518/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(J, M)), 3); Equals(LengthOf(Line(L, K)), 21); Equals(MeasureOf(Angle(K, L, R))... |
geometry3k/train/1522/img_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)), 222); PointLiesOnLine(C, Line(A, B)); PointLiesOnCircle(A, Circle(C, radius_)); PointLiesOnCircle(B, Circl... |
geometry3k/train/1523/img_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, K)), 2z+7); Equals(LengthOf(Line(J, N)), 3y-5); Equals(LengthOf(Line(L, N)), y+5); Equals(LengthOf(Line(N, M)),... |
geometry3k/train/1528/img_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)), 2); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(... |
geometry3k/train/1529/img_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, D, A)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(A, B, C)), 42); Equals(MeasureOf(Angle(B, C, A)), 38); E... |
geometry3k/train/1530/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(C, Line(R, P)); PointLiesOnLine(C, Line(S, Q)); PointLiesOnCircle(R, Circle(C, radius_)); PointLiesOnCircle(S, Circle(C... |
geometry3k/train/1531/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, Y)), x); Equals(MeasureOf(Angle(Y, Z, X)), 34); Equals(LengthOf(Line(Z, X)), 28); Perpendicular(Line(Z, Y), Lin... |
geometry3k/train/1533/img_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, X)), 2x+1); Equals(LengthOf(Line(C, B)), 7); Equals(LengthOf(Line(X, D)), 15); Equals(LengthOf(Line(B, D)), x);... |
geometry3k/train/1537/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, D, E)), 42); Equals(MeasureOf(Angle(D, F, E)), 4x+11); Equals(LengthOf(Line(F, E)), 2x-3); Equals(LengthOf(Li... |
geometry3k/train/1538/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)), LengthOf(Line(M, L))); Parallel(Line(K, L), Line(M, J)); PointLiesOnLine(P, Line(M, K)); PointLiesOnLine(P... |
geometry3k/train/1540/img_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)), 6); "
}
] |
geometry3k/train/1541/img_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(K, Line(J, M)); PointLiesOnLine(L, Line(J, M)); PointLiesOnLine(K, Line(J, L)); PointLiesOnLine(L, Line(M, K)); PointLi... |
geometry3k/train/1547/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/1550/img_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(P, E, A)), 3x-50); Equals(MeasureOf(Angle(C, D, G)), 2x-5); PointLiesOnLine(D, Line(A, C)); PointLiesOnLine(E, L... |
geometry3k/train/1551/img_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(A, C)), 8); Equals(MeasureOf(Angle(C, B, A)), 73); Equals(MeasureOf(Angle(A, C, B... |
geometry3k/train/1552/img_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, A)), 14x-34); Equals(LengthOf(Line(R, A)), 12x-8); PointLiesOnLine(A, Line(Q, S)); PointLiesOnLine(A, Line(R, T... |
geometry3k/train/1555/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)), LengthOf(Line(W, Z))); PointLiesOnLine(T, Line(X, Z)); PointLiesOnLine(T, Line(Y, W)); "
}
] |
geometry3k/train/1556/img_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)), 7); Equals(LengthOf(Line(E, D)), 7); Equals(LengthOf(MeasureOf(Arc(A, O, B))), 105); Equals(LengthOf(Measu... |
geometry3k/train/1561/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)), 2.4); Equals(MeasureOf(Angle(C, D, A)), 161); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(... |
geometry3k/train/1563/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, H, G)), 29); Equals(LengthOf(Line(H, F)), 32); Equals(LengthOf(Line(G, F)), x); Perpendicular(Line(H, F), Lin... |
geometry3k/train/1565/img_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, C)), 23); Equals(MeasureOf(Angle(A, B, C)), 21); Equals(MeasureOf(Angle(C, A, ... |
geometry3k/train/1566/img_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(T, S)), 48); PointLiesOnLine(A, Line(R, S)); PointLiesOnCircle(S, Circle(A, radius_)); PointLiesOnCircle(T, Circle... |
geometry3k/train/1567/img_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, H, G)), 65); Equals(MeasureOf(Angle(F, D, L)), 4x-9); Parallel(Line(L, B), Line(K, E)); PointLiesOnLine(D, Li... |
geometry3k/train/1569/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(J, Line(L, N)); PointLiesOnCircle(L, Circle(J, radius_)); PointLiesOnCircle(N, Circle(J, radius_)); PointLiesOnCircle(M... |
geometry3k/train/1570/img_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)), 2x); Equals(MeasureOf(Angle(M, F, E)), 52); Equals(MeasureOf(Angle(J, D, I)), 88); Equals(MeasureOf(A... |
geometry3k/train/1573/img_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)), 45); Equals(LengthOf(Line(B, C)), 5); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(A, C), Line... |
geometry3k/train/1575/img_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)), x); Equals(MeasureOf(Angle(A, B, C)), 55); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(C, ... |
geometry3k/train/1577/img_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(A, B)), x); Equals(LengthOf(Line(A, C)), 4); Perpendicular(Line(B, C), Line(A, C)... |
geometry3k/train/1578/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)), 20.7); Equals(LengthOf(Line(G, F)), x); Equals(LengthOf(Line(S, T)), 10); Equals(LengthOf(Line(R, T)), 15)... |
geometry3k/train/1579/img_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)), 3x); Equals(LengthOf(Line(B, C)), 5x-8); PointLiesOnCircle(C, Circle(R, radius_)); PointLiesOnCircle(E, Ci... |
geometry3k/train/1580/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, B, C)), 35); Equals(MeasureOf(Arc(A, C)), x); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(C, ... |
geometry3k/train/1595/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, T)), 3); Equals(MeasureOf(Angle(J, K, L)), 87); Equals(MeasureOf(Angle(L, J, K)), 46); Equals(MeasureOf(Angle(S... |
geometry3k/train/1597/img_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)), 103); Equals(MeasureOf(Angle(A, B, C)), 43); Equals(MeasureOf(Angle(C, A, B)), 51); "
}
] |
geometry3k/train/1598/img_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, G, C)), 85); Equals(MeasureOf(Angle(A, G, D)), 40); Equals(MeasureOf(Angle(E, G, C)), x); Perpendicular(Line(... |
geometry3k/train/1599/img_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, B, A)), 52); Equals(MeasureOf(Angle(A, V, B)), v); Equals(LengthOf(Line(A, V)), 12); Equals(LengthOf(Line(B, ... |
geometry3k/train/1600/img_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)), 4); Equals(MeasureOf(Angle(C, B, O)), 45); Perpendicular(Line(C, O), Line(B, O)); "
}
] |
geometry3k/train/1601/img_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)), 17); Equals(LengthOf(Line(C, D)), 15); Equals(MeasureOf(Angle(C, B, A)), 48); Perpendicular(Line(C, D), Li... |
geometry3k/train/1603/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)), 7); Equals(LengthOf(Line(C, A)), 3); Equals(LengthOf(Line(B, C)), 6); Equals(LengthOf(Line(E, F)), 9); "
... |
geometry3k/train/1605/img_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, R)), 28); Equals(LengthOf(Line(D, K)), 6x+23); PointLiesOnLine(Q, Line(L, K)); PointLiesOnLine(R, Line(J, L)); ... |
geometry3k/train/1606/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)), 10); Equals(LengthOf(Line(N, M)), 10); Equals(LengthOf(Line(L, P)), 2x-4); Equals(LengthOf(Line(N, P)), x+... |
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