image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/1970/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(B, C), Line(B, A)); Perpendicular(Line(J, K), Line(L, K)); PointLiesOnLine(C, Line(B, D)); PointLiesOnLine(L, Line(K... |
geometry3k/train/1971/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 5); Equals(LengthOf(Line(B, C)), 12); Perpendicular(Line(A, C), Line(B, C)); PointLiesOnLine(T, Line(B, A)... |
geometry3k/train/1972/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)), 4); Equals(MeasureOf(Angle(Y, X)), 4); PointLiesOnCircle(Z, Circle(X, radius_)); PointLiesOnCircle(Y, Circ... |
geometry3k/train/1976/img_diagram_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)), 2x+9); Equals(MeasureOf(Angle(D, B, C)), 106); Equals(MeasureOf(Angle(C, A, D)), 3y+19); Equals(LengthOf(L... |
geometry3k/train/1977/img_diagram_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)), 24); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnC... |
geometry3k/train/1978/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(G, C, D)), 67); Equals(MeasureOf(Angle(G, F, D)), 49); Equals(LengthOf(Line(C, G)), LengthOf(Line(D, C))); Equal... |
geometry3k/train/1985/img_diagram_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)), 10); Equals(LengthOf(Line(D, B)), 5\\sqrt{2}); Equals(LengthOf(Line(E, C)), 5 ); Perpendicular(Line(E, B),... |
geometry3k/train/1987/img_diagram_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, G)), 28); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(G, Circle(B, radius_)); PointLiesOnC... |
geometry3k/train/1991/img_diagram_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)), 26.2); Equals(MeasureOf(Angle(B, C, A)), x); Equals(LengthOf(Line(B, C)), 13.5); Equals(LengthOf(Line(B, A... |
geometry3k/train/1995/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, Y), Line(P, Z)); Perpendicular(Line(Q, Z), Line(Q, T)); PointLiesOnLine(P, Line(Y, X)); PointLiesOnLine(Q, Line(S... |
geometry3k/train/1996/img_diagram_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(B, A)), LengthOf(h)); Equals(MeasureOf(Angle(A, C, B)), 45); Perpendicular(Line(A... |
geometry3k/train/1997/img_diagram_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)), 8); Equals(MeasureOf(Angle(C, A, B)), 121); PointLiesOnCircle(B, Circle(A, radius_)); PointLiesOnCircle(C,... |
geometry3k/train/1999/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, D, C)), 78); PointLiesOnLine(X, Line(B, A)); PointLiesOnLine(Y, Line(D, C)); "
}
] |
geometry3k/train/2002/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 5x-1); Equals(LengthOf(Line(B, A)), \\frac{10}{3}x+4); Equals(LengthOf(Line(B, C)), 7x-7); Equals(MeasureO... |
geometry3k/train/2004/img_diagram_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(DiameterOf(Circle(A))), 10); Equals(MeasureOf(Angle(B, A, D)), 80); Equals(MeasureOf(Angle(E, A, B)), 64); Equals(Measu... |
geometry3k/train/2005/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(Y, X)), 5.8); Equals(LengthOf(Line(Y, Z)), 3.2); Perpendicular(Line(W, X), Line(Y, X)); "
}
] |
geometry3k/train/2006/img_diagram_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, C)), 12); Equals(LengthOf(Line(D, C)), 10); Equals(LengthOf(Line(E, A)), LengthOf(Line(D, A))); Perpendicular(L... |
geometry3k/train/2007/img_diagram_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)), 5y); Equals(LengthOf(Line(B, D)), \\frac{7}{3}y+8); Equals(LengthOf(Line(E, C)), \\frac{1}{3}x+2); Equals(... |
geometry3k/train/2009/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(Y, X)), 4); Equals(LengthOf(Line(Z, X)), 4); Equals(MeasureOf(Angle(X, Y, Z)), 60); Equals(MeasureOf(Angle(X, Z, Y... |
geometry3k/train/2010/img_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(B, Line(Q, S)); PointLiesOnLine(B, Line(T, R)); "
}
] |
geometry3k/train/2013/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, C, B)), 3x+25); Equals(MeasureOf(Angle(C, D, B)), 4x+5); Equals(MeasureOf(Angle(C, B, D)), 5x-30); "
}
] |
geometry3k/train/2014/img_diagram_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)), 6.6); Equals(MeasureOf(Angle(A, B, C)), 17); Perpendicular(Line(A, B), Line(A, C)); PointLiesOnLine(x, Lin... |
geometry3k/train/2015/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(B, C), Line(D, E)); PointLiesOnLine(D, Line(B, A)); PointLiesOnLine(E, Line(C, A)); "
}
] |
geometry3k/train/2016/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(S, Line(T, E)); PointLiesOnLine(S, Line(K, R)); PointLiesOnCircle(T, Circle(S, radius_)); PointLiesOnCircle(E, Circle(S... |
geometry3k/train/2018/img_diagram_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(A, C)), 5); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Line(C, B... |
geometry3k/train/2021/img_diagram_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, B)), x+16); Equals(LengthOf(Line(A, C)), 16); Equals(LengthOf(Line(X, C)), x); PointLiesOnLine(X, Line(B, C)); ... |
geometry3k/train/2022/img_diagram_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, A)), 13); Equals(MeasureOf(Angle(E, A, F)), y); Perpendicular(Line(C, A), Line(C, E)); Equals(LengthOf(Line(E, ... |
geometry3k/train/2024/img_diagram_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(X, Y)), 106); PointLiesOnLine(Y, Line(W, A)); PointLiesOnLine(X, Line(C, W)); PointLiesOnCircle(Y, Circle(B, radiu... |
geometry3k/train/2026/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, E)), 6); Equals(LengthOf(Line(G, A)), b); Equals(LengthOf(Line(D, A)), 8); Equals(LengthOf(Line(A, F)), a); Equ... |
geometry3k/train/2027/img_diagram_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)), 22); Equals(LengthOf(Line(A, D)), 17); Perpendicular(Line(C, A), Line(A, D)); Perpendicular(Line(A, C), Li... |
geometry3k/train/2031/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, C)), 6); Equals(LengthOf(Line(A, D)), x); Equals(LengthOf(Line(D, F)), 2); Equals(LengthOf(Line(D, B)), 3); Poi... |
geometry3k/train/2035/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(P, S)), 21); Equals(LengthOf(Line(S, R)), 7); Perpendicular(Line(Q, R), Line(Q, P)); Perpendicular(Line(S, Q), Lin... |
geometry3k/train/2037/img_diagram_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, P)), 2y); Equals(LengthOf(Line(H, I)), \\frac{4}{3}y+1); Equals(LengthOf(Line(J, B)), 6-x); Equals(LengthOf(Lin... |
geometry3k/train/2041/img_diagram_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)), 22); Equals(LengthOf(Line(A, B)), 25); Perpendicular(Line(A, C), Line(C, ... |
geometry3k/train/2042/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, E)), 2x); Equals(LengthOf(Line(D, E)), 6x-4); PointLiesOnCircle(F, Circle(H, radius_)); PointLiesOnCircle(D, Ci... |
geometry3k/train/2047/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, Q, R)), 101); Equals(MeasureOf(Angle(Q, R, S)), x); Equals(MeasureOf(Angle(P, S, R)), y); "
}
] |
geometry3k/train/2049/img_diagram_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)), 30); Equals(LengthOf(Line(A, D)), 28); Equals(MeasureOf(Angle(E, A, C)), 30); Perpendicular(Line(E, A), Li... |
geometry3k/train/2050/img_diagram_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)), 20); Equals(LengthOf(Line(F, B)), 7); Equals(LengthOf(Line(A, C)), 16); Equals(LengthOf(Line(D, C)), 11); ... |
geometry3k/train/2053/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, F, E)), 85); Equals(MeasureOf(Angle(C, D, F)), 65); Equals(MeasureOf(Angle(C, E, F)), x); PointLiesOnLine(F, ... |
geometry3k/train/2054/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, D)), 6); Equals(LengthOf(Line(A, B)), 19); PointLiesOnLine(B, Line(C, A)); PointLiesOnLine(E, Line(C, D)); Poin... |
geometry3k/train/2056/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)), 20); Equals(LengthOf(Line(H, G)), 32); PointLiesOnLine(X, Line(H, D)); PointLiesOnLine(Y, Line(E, G)); "
... |
geometry3k/train/2058/img_diagram_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)), 18); Equals(LengthOf(Line(B, C)), 15); Equals(MeasureOf(Angle(C, A, B)), x); Perpendicular(Line(A, C), Lin... |
geometry3k/train/2060/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)), 15); Equals(LengthOf(Line(Z, X)), 25); Perpendicular(Line(X, Y), Line(Y, Z)); "
}
] |
geometry3k/train/2061/img_diagram_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(J, K)), 194); PointLiesOnCircle(K, Circle(G, radius_)); PointLiesOnCircle(J, Circle(G, radius_)); "
}
] |
geometry3k/train/2062/img_diagram_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)), 60); Equals(LengthOf(Line(B, A)), h); Perpendicular(Line(D, B), Line(C, B)); Perpendicular(Line(A, D), Lin... |
geometry3k/train/2064/img_diagram_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(K, F)), 16); Equals(LengthOf(Line(K, A)), 9); Perpendicular(Line(K, F), Line(D, F)); Perpendicular(Line(A, K), Lin... |
geometry3k/train/2066/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)); "
}
] |
geometry3k/train/2069/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)), 340); Equals(LengthOf(Major(Arc(L, J))), 56.37); PointLiesOnCircle(J, Circle(K, radius_)); PointLiesO... |
geometry3k/train/2070/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, R)), 14); Perpendicular(Line(S, X), Line(X, R)); Equals(LengthOf(Line(R, S)), LengthOf(Line(S, T))); PointLiesO... |
geometry3k/train/2071/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, Q)), 8); Equals(MeasureOf(Angle(S, R, Q)), 110); Equals(LengthOf(Line(S, T)), 8); Parallel(Line(Q, T), Line(T, ... |
geometry3k/train/2074/img_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(D, Line(A, B)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(C... |
geometry3k/train/2075/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, Q)), 8); Equals(LengthOf(Line(S, T)), y-4); Equals(LengthOf(Line(Q, R)), 11); "
}
] |
geometry3k/train/2077/img_diagram_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)), 15); Equals(LengthOf(Line(B, C)), 10); Equals(LengthOf(Line(C, D)), 4); Equals(LengthOf(Line(A, D)), x); E... |
geometry3k/train/2080/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 3x+2); Equals(LengthOf(Line(F, A)), 4x-6); Equals(LengthOf(Line(E, D)), LengthOf(Line(C, E))); PointLiesOn... |
geometry3k/train/2084/img_diagram_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, B)), 10); Equals(LengthOf(Line(A, E)), 3); Equals(LengthOf(Line(X, E)), x); Equals(LengthOf(Line(A, D)), 5); Po... |
geometry3k/train/2085/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(U, R)), 16); Equals(LengthOf(Line(V, R)), 11.2); Equals(LengthOf(Line(V, S)), 7); Equals(LengthOf(Line(U, S)), x);... |
geometry3k/train/2095/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, F, D)), 50); Perpendicular(Line(F, C), Line(F, B)); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(F, Line(D... |
geometry3k/train/2099/img_diagram_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)), 17); Equals(LengthOf(Line(A, C)), 7); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, B), Line(C, A... |
geometry3k/val/2101/img_diagram_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, E)), 5x-12); Equals(MeasureOf(Angle(D, E, C)), 3x); PointLiesOnLine(B, Line(C, E)); PointLiesOnCircle(E, C... |
geometry3k/val/2105/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(E, F)), 9); Equals(LengthOf(Line(G, F)), x); Equals(MeasureOf(Angle(F, E, G)), 48); Equals(LengthOf(Line(E, G)), 1... |
geometry3k/val/2107/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)); PointLiesOnLine(X, Line(Y, W)); "
}
] |
geometry3k/val/2108/img_diagram_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, F)), 20-5x); Equals(LengthOf(Line(J, X)), 2x+6); Equals(LengthOf(Line(Y, C)), y); Equals(LengthOf(Line(D, Y)), ... |
geometry3k/val/2109/img_diagram_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, C)), y); Equals(LengthOf(Line(F, D)), 2); Equals(LengthOf(Line(E, b)), 5); Perpendicular(Line(F, B), Line(A, F)... |
geometry3k/val/2112/img_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, I), Line(I, B)); Equals(Square(H, G, I, B), Square(1)); Equals(Square(I, A, D, C), Square(2)); Equals(Square(A, B... |
geometry3k/val/2114/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, O, A)), 120); Equals(LengthOf(Line(O, B)), 8); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(B,... |
geometry3k/val/2115/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, E)), 4y-7); Equals(LengthOf(Line(B, D)), 5x-8); Equals(LengthOf(Line(A, D)), 3x+11); Equals(LengthOf(Line(B, E)... |
geometry3k/val/2117/img_diagram_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, P)), 11); Equals(LengthOf(Line(Q, A)), 9); PointLiesOnLine(H, Line(B, A)); PointLiesOnLine(H, Line(F, C)); Poin... |
geometry3k/val/2118/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(D, B, A)), 28); Equals(LengthOf(Line(A, D)), 12); Equals(MeasureOf(Angle(B, D, A)), 40); Equals(LengthOf(Line(A,... |
geometry3k/val/2119/img_diagram_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)), 7.1); Equals(LengthOf(Line(C, E)), 2x); Equals(LengthOf(Line(B, D)), 9.8); PointLiesOnLine(E, Line(C, B));... |
geometry3k/val/2121/img_diagram_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(H, G)), 30); Equals(MeasureOf(Angle(A, E, C)), x); Equals(MeasureOf(Arc(C, A)), 90); PointLiesOnLine(H, Line(A, E)... |
geometry3k/val/2123/img_diagram_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(Q, P, R)), 3x+1); Equals(MeasureOf(Angle(Q, R, P)), 7x-1); PointLiesOnLine(A, Line(P, R)); PointLiesOnCircle(R, ... |
geometry3k/val/2125/img_diagram_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)), 2.5); Equals(LengthOf(Line(B, G)), 1); Equals(LengthOf(Line(G, F)), 1.5); Equals(LengthOf(Line(E, C)), 3.5... |
geometry3k/val/2127/img_diagram_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)), 8); Equals(LengthOf(Line(C, A)), 6); Equals(LengthOf(Line(B, D)), y); Equals(LengthOf(Line(C, D)), x); Equ... |
geometry3k/val/2132/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Q, P, R)), 120); Equals(LengthOf(Line(R, P)), 15); PointLiesOnCircle(R, Circle(P, radius_)); PointLiesOnCircle(Q... |
geometry3k/val/2135/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, D)), 5); Equals(LengthOf(Line(C, D)), 9); Perpendicular(Line(A, D), Line(D, C)); Perpendicular(Line(A, C), Line... |
geometry3k/val/2136/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, B), Line(F, A)); Perpendicular(Line(B, A), Line(E, B)); Perpendicular(Line(B, C), Line(C, D)); Perpendicular(Line... |
geometry3k/val/2137/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 16); Equals(LengthOf(Line(B, A)), 20); Equals(LengthOf(Line(D, C)), x); Equals(LengthOf(Line(B, D)), 17); ... |
geometry3k/val/2139/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, D)), 2x+4); Equals(LengthOf(Line(G, H)), 7); Equals(LengthOf(Line(J, H)), 10); Equals(LengthOf(Line(G, D)), 2x-... |
geometry3k/val/2141/img_diagram_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(LengthOf(Line(A, D)), 13); Perpendicular(Line(A, D), Line(D, B... |
geometry3k/val/2142/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(P, M)), 6); Perpendicular(Line(K, Q), Line(P, Q)); PointLiesOnLine(P, Line(M, Q)); PointLiesOnLine(Q, Line(L, M));... |
geometry3k/val/2143/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(Z, Y), Line(Y, X)); Equals(LengthOf(Line(Z, X)), 9); Equals(LengthOf(Line(W, X)), 9); Equals(LengthOf(Line(Z, Y)), 3... |
geometry3k/val/2146/img_diagram_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)), x); Equals(LengthOf(Line(B, A)), 40); Equals(LengthOf(Line(C, B)), 22); Equals(MeasureOf(Angle(B, A, ... |
geometry3k/val/2147/img_diagram_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)), 30); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(C, B)), y); Equals(MeasureOf(Angle(B, A, C... |
geometry3k/val/2148/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/val/2151/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 5); Equals(MeasureOf(Angle(D, C, A)), 59); "
}
] |
geometry3k/val/2153/img_diagram_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, G, J)), 20); PointLiesOnLine(A, Line(J, G)); PointLiesOnCircle(H, Circle(A, radius_)); PointLiesOnCircle(G, C... |
geometry3k/val/2154/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, C)), 12); Equals(LengthOf(Line(A, E)), 18); Equals(LengthOf(Line(A, D)), 42); Parallel(Line(E, G), Line(C, D));... |
geometry3k/val/2155/img_diagram_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, B)), 7x+3); Equals(MeasureOf(Angle(C, M, A)), 9x-5); PointLiesOnLine(M, Line(E, A)); PointLiesOnLine(C, Li... |
geometry3k/val/2156/img_diagram_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, K, I)), 145); Equals(MeasureOf(Angle(H, J, F)), 130); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(J, A, K)));... |
geometry3k/val/2159/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 21); Equals(MeasureOf(Angle(C, D, A)), 168); PointLiesOnLine(D, Line(B, A)); PointLiesOnCircle(A, Circle(D... |
geometry3k/val/2164/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(h), LengthOf(Line(C, A))); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(A, B)), 21); Perpendicular(Line(... |
geometry3k/val/2166/img_diagram_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)), 7); Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(B, A)), x); Equals(MeasureOf(Angle(C, A, B)), 30... |
geometry3k/val/2171/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, N)), 10x+3); Equals(LengthOf(Line(R, S)), 9x-1); Equals(LengthOf(Line(P, O)), 4x+7); PointLiesOnLine(R, Line(P,... |
geometry3k/val/2173/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, C)), 5); Equals(LengthOf(Line(G, F)), 2); Equals(LengthOf(Line(G, B)), 2); Equals(LengthOf(Line(C, E)), 5); Equ... |
geometry3k/val/2175/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, E)), 14); Equals(LengthOf(Line(B, G)), 8); Equals(LengthOf(Line(B, F)), 10); Equals(LengthOf(Line(F, C)), x); P... |
geometry3k/val/2176/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), y+2x); Equals(LengthOf(Line(A, Y)), 3y+2x); Equals(LengthOf(Line(B, C)), 5y-2x); Equals(LengthOf(Line(C, Y... |
geometry3k/val/2177/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)), 7); Equals(MeasureOf(Angle(B, C, A)), 62); Equals(LengthOf(Line(C, B)), 4); Equals(LengthOf(Line(B, A)), x... |
geometry3k/val/2179/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, D)), 3y-5); Equals(LengthOf(Line(A, B)), y+11); Equals(LengthOf(Line(A, C)), x+7); Equals(LengthOf(Line(D, B)),... |
geometry3k/val/2180/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(H, K), Line(I, J)); PointLiesOnLine(H, Line(I, G)); PointLiesOnLine(K, Line(J, G)); "
}
] |
geometry3k/val/2182/img_diagram_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, S)), x); Equals(LengthOf(Line(R, S)), x+3); Equals(LengthOf(Line(V, T)), 9); PointLiesOnLine(A, Line(R, S)); Po... |
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