image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/1728/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/1732/img_diagram_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); Equals(LengthOf(Line(T, C)), 5); PointLiesOnLine(D, Line(B, A)); PointLiesOnCircle(A, Circle(D, radius... |
geometry3k/train/1737/img_diagram_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(N, P)), 108); Equals(MeasureOf(Arc(N, R)), 62); Equals(MeasureOf(Angle(N, M, R)), x); PointLiesOnLine(N, Line(M, P... |
geometry3k/train/1744/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Q, P)), 13); Equals(LengthOf(Line(M, Q)), 12); Perpendicular(Line(Q, P), Line(Q, R)); Perpendicular(Line(R, M), Li... |
geometry3k/train/1745/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, G)), x); Equals(LengthOf(Line(J, G)), x); Equals(LengthOf(Line(H, K)), 8); Equals(LengthOf(Line(H, J)), 12); Po... |
geometry3k/train/1747/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, W)), a); Equals(MeasureOf(Angle(W, Z, Y)), a+2); Equals(MeasureOf(Angle(A, B, Z)), \\frac{1}{2}a+8); Equal... |
geometry3k/train/1751/img_diagram_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)), x); Equals(LengthOf(Line(B, E)), 2); Equals(LengthOf(Line(B, C)), 4); PointLiesOnLine(E, Line(B, A)); Poin... |
geometry3k/train/1755/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, F, G)), 4x+2); Equals(MeasureOf(Angle(F, H, G)), 9x-3); PointLiesOnLine(J, Line(F, H)); PointLiesOnCircle(H, ... |
geometry3k/train/1756/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)), 8); Equals(LengthOf(Line(E, D)), 5); Equals(LengthOf(Line(C, B)), 6); P... |
geometry3k/train/1757/img_diagram_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)), x); Equals(MeasureOf(Angle(C, B, A)), 30); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(C, ... |
geometry3k/train/1758/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnCircle(D, Circle(I, radius_)); PointLiesOnCircle(G, Circle(I, radius_)); "
}
] |
geometry3k/train/1761/img_diagram_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)), 14); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(A, B, C)), 60); Equals(LengthOf(Line(A, B)), ... |
geometry3k/train/1762/img_diagram_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, D)), 110); Equals(MeasureOf(Arc(D, A)), x); Equals(MeasureOf(Arc(B, C)), x); Equals(MeasureOf(Arc(A, B)), 110);... |
geometry3k/train/1763/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(2)), MeasureOf(Angle(R, Q, S))); Equals(MeasureOf(Angle(Q, R, P)), 33); Equals(MeasureOf(Angle(S, Q, P)), 51); E... |
geometry3k/train/1767/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)), 11); Equals(LengthOf(Line(P, O)), 27); Perpendicular(Line(N, M), Line(N, O)); Perpendicular(Line(P, O), Li... |
geometry3k/train/1768/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, B, A)), 30); Equals(MeasureOf(Angle(D, B, E)), x); Equals(MeasureOf(Angle(C, B, D)), 110); Perpendicular(Line... |
geometry3k/train/1772/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(G, F)), 4); Equals(LengthOf(Line(H, G)), 4); Equals(MeasureOf(Arc(F, H)), 220); Equals(MeasureOf(Arc(G, H)), x); P... |
geometry3k/train/1773/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/1774/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, D)), 3); Equals(LengthOf(Line(B, C)), 6); Equals(LengthOf(Line(C, A)), 7); Equals(LengthOf(Line(A, B)), 5); "
... |
geometry3k/train/1776/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 10); Equals(LengthOf(Line(M, C)), 6); Perpendicular(Line(B, M), Line(M, C)); Perpendicular(Line(B, C), Lin... |
geometry3k/train/1779/img_diagram_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, A, B)), x); Equals(MeasureOf(Angle(A, D, C)), 100); Equals(MeasureOf(Angle(A, B, C)), 42); PointLiesOnLine(D,... |
geometry3k/train/1781/img_diagram_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)), \\frac{3}{5}); Equals(LengthOf(Line(B, C)), \\frac{1}{5}); Equals(LengthOf(Line(A, C)), x); Perpendicular(... |
geometry3k/train/1782/img_diagram_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)), 6); Equals(LengthOf(Line(A, C)), 8); Perpendicular(Line(B, C), Line(C, A)... |
geometry3k/train/1785/img_diagram_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)), 15); Equals(MeasureOf(Angle(A, C, B)), x); Equals(LengthOf(Line(B, C)), 19); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/1787/img_diagram_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(J, K)), x); Equals(LengthOf(Line(K, L)), 4); Equals(LengthOf(Line(J, L)), 5); PointLiesOnLine(C, Line(L, J)); Poin... |
geometry3k/train/1789/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(M, K)); PointLiesOnLine(P, Line(J, L)); "
}
] |
geometry3k/train/1794/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(Arc(Q, P)), LengthOf(Arc(M, N))); Equals(LengthOf(Line(M, N)), 2x+1); Equals(LengthOf(Line(Q, P)), 3x-7); PointLiesOnCi... |
geometry3k/train/1795/img_diagram_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)), 23); Equals(LengthOf(Line(F, I)), 10); Equals(LengthOf(Line(I, C)), 8); Equals(LengthOf(Line(G, I)), 10); ... |
geometry3k/train/1798/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(4)), MeasureOf(Angle(P, G, C))); Equals(MeasureOf(Angle(C, G, E)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(... |
geometry3k/train/1800/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, N, G)), 36); Equals(MeasureOf(Angle(L, D, G)), x); Perpendicular(Line(D, G), Line(L, G)); "
}
] |
geometry3k/train/1803/img_diagram_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)), 3x); Equals(LengthOf(Line(A, H)), x+2); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(H, D)), 8); ... |
geometry3k/train/1804/img_diagram_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, F)), x); Equals(LengthOf(Line(B, E)), 3); Equals(LengthOf(Line(F, C)), 5); Equals(LengthOf(Line(B, D)), 9); Poi... |
geometry3k/train/1809/img_diagram_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, A)), 10); Equals(LengthOf(Line(P, A)), 12); Perpendicular(Line(L, K), Line(A, K)); Perpendicular(Line(L, K), Li... |
geometry3k/train/1814/img_diagram_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)), 5.8); PointLiesOnCircle(B, Circle(A, radius_)); "
}
] |
geometry3k/train/1815/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Z, Y, X)), 128); Equals(LengthOf(Line(X, W)), LengthOf(Line(X, Y))); Equals(LengthOf(Line(Z, Y)), LengthOf(Line(... |
geometry3k/train/1818/img_diagram_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, H)), 15); Equals(LengthOf(Line(C, A)), x); Equals(LengthOf(Line(C, G)), 8); Equals(LengthOf(Line(H, C)), 18); E... |
geometry3k/train/1819/img_diagram_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, A, E)), 33); Equals(MeasureOf(Arc(C, B)), x); Equals(MeasureOf(Arc(D, E)), 51); PointLiesOnLine(E, Line(A, B)... |
geometry3k/train/1822/img_diagram_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+1); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C)), 2\\sqrt{2}); Perpendicular(Line(B, C),... |
geometry3k/train/1824/img_diagram_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(M, D)), 6); Equals(LengthOf(Line(C, H)), 14); Equals(LengthOf(Line(O, H)), 4); PointLiesOnLine(O, Line(H, M)); "
... |
geometry3k/train/1825/img_diagram_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, X)), x); Equals(LengthOf(Line(X, B)), 5); Equals(LengthOf(Line(B, A)), 4); Equals(LengthOf(Line(D, A)), 7); Poi... |
geometry3k/train/1827/img_diagram_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, Q)), 4); Equals(LengthOf(Line(S, B)), 2); Equals(LengthOf(Line(B, R)), x); PointLiesOnLine(B, Line(R, S)); Poin... |
geometry3k/train/1828/img_diagram_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)), 6); Equals(LengthOf(Line(D, B)), 15); PointLiesOnLine(F, Line(A, E)); PointLiesOnLine(G, Line(B, D)); Poin... |
geometry3k/train/1829/img_diagram_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, D)), 3x-9); Equals(MeasureOf(Angle(E, X, B)), 2.5x+15); PointLiesOnLine(X, Line(B, A)); PointLiesOnLine(A,... |
geometry3k/train/1836/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)), 0.5); Equals(LengthOf(Arc(D, B, C)), 1.31); PointLiesOnCircle(C, Circle(B, radius_)); PointLiesOnCircle(D,... |
geometry3k/train/1844/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)), 4x-2); Equals(LengthOf(Line(M, L)), 3x+1); Equals(MeasureOf(Angle(L, P, M)), 5y); PointLiesOnLine(P, Line(... |
geometry3k/train/1845/img_diagram_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)), 22); Equals(LengthOf(Line(C, A)), x); "
}
] |
geometry3k/train/1846/img_diagram_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, A)), 2); Equals(LengthOf(Line(X, A)), a-7); Equals(LengthOf(Line(W, A)), 10); Equals(LengthOf(Line(A, Z)), 2b-6... |
geometry3k/train/1853/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, C)), 55); Equals(LengthOf(Line(A, C)), 3); Equals(MeasureOf(Angle(A, B, C)), 55); "
}
] |
geometry3k/train/1854/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, P)), 25); PointLiesOnLine(P, Line(L, K)); PointLiesOnLine(H, Line(L, M)); PointLiesOnLine(J, Line(M, K)); "
}... |
geometry3k/train/1858/img_diagram_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, Y, B)), 3x-15); Equals(MeasureOf(Angle(G, Y, A)), y+25); Equals(MeasureOf(Angle(E, B, G)), 105); PointLiesOnL... |
geometry3k/train/1860/img_diagram_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)), 8); Equals(LengthOf(Line(A, E)), 4); Equals(MeasureOf(Angle(C, F, E)), 60); Equals(LengthOf(Line(F, C)), 1... |
geometry3k/train/1862/img_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(B, C), Line(A, B)); Perpendicular(Line(C, D), Line(A, D)); "
}
] |
geometry3k/train/1863/img_diagram_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, X, B)), 135); Equals(MeasureOf(Angle(A, X, C)), 118); Equals(MeasureOf(Angle(B, X, A)), x); PointLiesOnCircle... |
geometry3k/train/1864/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)), 6); Equals(LengthOf(Line(C, A)), 20); Perpendicular(Line(C, B), Line(A, C)); "
}
] |
geometry3k/train/1869/img_diagram_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, D)), 110); PointLiesOnCircle(A, Circle(I, radius_)); PointLiesOnCircle(C, Circle(I, radius_)); PointLiesOnCircl... |
geometry3k/train/1871/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(A, Line(J, K)); PointLiesOnLine(B, Line(L, J)); "
}
] |
geometry3k/train/1872/img_diagram_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, M, L)), 66); Equals(LengthOf(Line(E, L)), x); Equals(LengthOf(Line(M, K)), 15); Equals(LengthOf(Line(K, L)), ... |
geometry3k/train/1873/img_diagram_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(D, H)), 34); Equals(MeasureOf(Angle(H, B, D)), x); Equals(MeasureOf(Arc(D, E)), 106); Equals(MeasureOf(Arc(A, H)),... |
geometry3k/train/1874/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(B, A)); PointLiesOnLine(J, Line(C, A)); PointLiesOnLine(J, Line(A, K)); PointLiesOnLine(J, Line(D, A)); PointLi... |
geometry3k/train/1878/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, T)), LengthOf(Line(Q, T))); PointLiesOnLine(S, Line(P, M)); PointLiesOnLine(T, Line(Q, P)); PointLiesOnLine(R, ... |
geometry3k/train/1880/img_diagram_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(J, A)), x); Equals(LengthOf(Line(L, K)), 10); PointLiesOnLine(A, Line(L, K)); PointLiesOnCircle(R, Circle(J, radiu... |
geometry3k/train/1881/img_diagram_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)), 3.5); Equals(MeasureOf(Angle(B, C, A)), 48); Equals(LengthOf(Line(A, B)), LengthOf(Line(C, A))); "
}
] |
geometry3k/train/1882/img_diagram_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)), 5); Equals(LengthOf(Line(C, A)), 13); Equals(LengthOf(Line(O, A)), 12); Perpendicular(Line(E, A), Line(B, ... |
geometry3k/train/1885/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, Y)), 10.5); Equals(LengthOf(Line(V, W)), 17); Equals(LengthOf(Line(X, W)), 17); PointLiesOnLine(W, Line(X, V));... |
geometry3k/train/1888/img_diagram_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)), 5); Equals(LengthOf(Line(B, S)), x-1); Equals(LengthOf(Line(D, S)), x-1); Equals(LengthOf(Line(T, D)), 10)... |
geometry3k/train/1889/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, F)), 3); Equals(LengthOf(Line(D, H)), x); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(G, Line(B, C)); Point... |
geometry3k/train/1890/img_diagram_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, G, M)), 82); PointLiesOnCircle(G, Circle(C, radius_)); PointLiesOnCircle(F, Circle(C, radius_)); PointLiesOnC... |
geometry3k/train/1892/img_diagram_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, J)), 5); Equals(LengthOf(Line(L, M)), x); PointLiesOnLine(X, Line(M, L)); PointLiesOnLine(H, Line(M, K)); Point... |
geometry3k/train/1894/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(G, B)), 3); Equals(LengthOf(Line(B, F)), 4); Equals(LengthOf(Line(C, F)), 2); Equals(LengthOf(Line(E, C)), 1); Per... |
geometry3k/train/1896/img_diagram_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)), 9x-1); Equals(MeasureOf(Arc(D, C)), 94); Equals(MeasureOf(Angle(D, B, C)), 2x); PointLiesOnLine(D, Line(B,... |
geometry3k/train/1901/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, F)), 14); Equals(LengthOf(Line(E, D)), x-2); PointLiesOnCircle(F, Circle(G, radius_)); PointLiesOnCircle(E, Cir... |
geometry3k/train/1908/img_diagram_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(LengthOf(Line(B, C)), 15); Perpendicular(Line(A, C), Line(C, B... |
geometry3k/train/1909/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnCircle(C, Circle(O, radius_)); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(B, Circle(O, radius_)); "
}
] |
geometry3k/train/1911/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)), 3a+7); Equals(LengthOf(Line(Y, A)), 2); Equals(LengthOf(Line(X, W)), x+11); Equals(LengthOf(Line(A, W)), 4... |
geometry3k/train/1912/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(P, Q)), 11); Equals(LengthOf(Line(Q, R)), 5); Equals(LengthOf(Line(P, T)), 16); Equals(LengthOf(Line(S, Q)), 5); E... |
geometry3k/train/1914/img_diagram_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)), 3); Equals(MeasureOf(Angle(C, B, E)), 32); "
}
] |
geometry3k/train/1915/img_diagram_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)), 13); Equals(LengthOf(Line(C, B)), 13); Equals(LengthOf(Line(A, C)), 10); Perpendicular(Line(D, B), Line(D,... |
geometry3k/train/1918/img_diagram_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)), y); Equals(LengthOf(Line(C, B)), 14); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(LengthOf(Line(A, B)), ... |
geometry3k/train/1920/img_diagram_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, B, C)), 50); Equals(MeasureOf(Arc(F, C)), x); PointLiesOnCircle(C, Circle(A, radius_)); PointLiesOnCircle(F, ... |
geometry3k/train/1924/img_diagram_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)), 8); "
}
] |
geometry3k/train/1926/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, B)), 5); Equals(LengthOf(Line(B, C)), 2x-8); Equals(LengthOf(Line(B, D)), 3); Equals(LengthOf(Line(B, A)), x+3)... |
geometry3k/train/1929/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(Q, R)), 8); Equals(MeasureOf(Angle(R, S, Q)), 54); Equals(MeasureOf(Angle(S, Q, R... |
geometry3k/train/1933/img_diagram_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(M, G, N)), x); Equals(MeasureOf(Arc(N, Q)), 75); Equals(MeasureOf(Arc(M, P)), 55); PointLiesOnLine(G, Line(Q, M)... |
geometry3k/train/1937/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, G)), 10); Perpendicular(Line(D, F), Line(F, H)); Equals(LengthOf(Line(D, H)), LengthOf(Line(G, H))); PointLiesO... |
geometry3k/train/1939/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)), 25); Equals(LengthOf(Line(R, T)), 30); "
}
] |
geometry3k/train/1942/img_diagram_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(C, A)), y); Equals(LengthOf(Line(B, C)), 16\\sqrt{3}); Equals(MeasureOf(Angle(B, ... |
geometry3k/train/1947/img_diagram_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)), 53); Equals(MeasureOf(Angle(C, A, B)), x); Equals(LengthOf(Line(B, C)), 68); Equals(MeasureOf(Angle(C, B, ... |
geometry3k/train/1948/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, F, D)), 2y); Equals(MeasureOf(Angle(H, G, F)), x-5); Equals(MeasureOf(Angle(G, H, D)), 2x+11); "
}
] |
geometry3k/train/1950/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, X)), 10); Equals(LengthOf(Line(N, Y)), 25); Perpendicular(Line(Z, N), Line(N, X)); Perpendicular(Line(Z, X), Li... |
geometry3k/train/1951/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, Y), Line(X, V)); PointLiesOnLine(Y, Line(T, V)); PointLiesOnCircle(R, Circle(X, radius_)); PointLiesOnCircle(W, C... |
geometry3k/train/1952/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(V, W)), 3x-6); Equals(LengthOf(Line(Y, W)), 5); Equals(LengthOf(Line(Z, W)), 6); Equals(LengthOf(Line(W, X)), x+4)... |
geometry3k/train/1954/img_diagram_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, A, B)), MeasureOf(Angle(6))); Equals(MeasureOf(Angle(7)), MeasureOf(Angle(D, A, B))); Equals(MeasureOf(Angle(... |
geometry3k/train/1956/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(E, G, H)), 3x+6); Perpendicular(Line(H, G), Line(E, H)); Equals(LengthOf(Line(H, E)), LengthOf(Line(G, H))); "
... |
geometry3k/train/1958/img_diagram_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(S, R)), 84); Equals(MeasureOf(Arc(T, U)), 130); Equals(MeasureOf(Angle(T, V, U)), x); PointLiesOnLine(V, Line(T, S... |
geometry3k/train/1959/img_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/1961/img_diagram_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(Q, P)), 8); Equals(LengthOf(Line(S, R)), 7); Equals(LengthOf(Line(Q, R)), x); PointLiesOnLine(R, Line(S, Q)); Poin... |
geometry3k/train/1962/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, D)), x-12); Equals(MeasureOf(Angle(C, A, B)), 4x-8); Equals(MeasureOf(Angle(B, D, C)), 3y-4); Equals(Measu... |
geometry3k/train/1963/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(E, A, D)), 30); Equals(LengthOf(Line(A, E)), 4\\sqrt{3}); Perpendicular(Line(A, D), Line(D, C)); Perpendicular(L... |
geometry3k/train/1966/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)), 10); Equals(LengthOf(Line(H, C)), 7); Equals(LengthOf(Line(H, E)), 6); Equals(LengthOf(Line(F, E)), 11); P... |
geometry3k/train/1968/img_diagram_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, Q)), 2); Equals(LengthOf(Line(P, Q)), 12); Equals(LengthOf(Line(T, S)), 3); PointLiesOnLine(Q, Line(R, P)); Poi... |
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