image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/1611/img_diagram_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)), 14); Equals(MeasureOf(Angle(C, A, B)), 45); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C)), ... |
geometry3k/train/1614/img_diagram_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(Q, S)), 103); Equals(MeasureOf(Arc(U, T)), 43); PointLiesOnLine(U, Line(F, R)); PointLiesOnLine(S, Line(F, R)); Po... |
geometry3k/train/1615/img_diagram_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); Equals(LengthOf(Line(D, B)), x); Equals(MeasureOf(Angle(C, A, B)), 47); Equals(MeasureOf(Angle(B, C, A... |
geometry3k/train/1616/img_diagram_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(F, C)), x^{2}+2x); Equals(MeasureOf(Angle(A, D, C)), 40); Equals(MeasureOf(Arc(A, C)), x^{2}+12); PointLiesOnLine(... |
geometry3k/train/1619/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)), 2x+3); Equals(LengthOf(Line(A, Y)), 4x-1); Equals(LengthOf(Line(X, Y)), LengthOf(Line(A, Y))); "
}
] |
geometry3k/train/1624/img_diagram_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, N)), 5); Equals(LengthOf(Line(B, D)), 8); Equals(LengthOf(Line(C, B)), 12); Equals(LengthOf(Line(C, N)), 15); P... |
geometry3k/train/1628/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/1629/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(R, S, T)), 72); Equals(LengthOf(Line(S, T)), 8); PointLiesOnCircle(T, Circle(S, radius_)); PointLiesOnCircle(R, ... |
geometry3k/train/1630/img_diagram_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)), 8); Equals(LengthOf(Line(A, C)), 12); PointLiesOnLine(D, Line(B, C)); PointLiesOnCircle(A, Circle(D, radiu... |
geometry3k/train/1632/img_diagram_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)), 22); Equals(LengthOf(Line(A, C)), 20); Perpendicular(Line(B, C), Line(A, ... |
geometry3k/train/1637/img_diagram_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)), 60); Equals(LengthOf(Line(F, D)), 65); PointLiesOnCircle(E, Circle(A, radius_)); PointLiesOnCircle(F, Circ... |
geometry3k/train/1638/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(A, C)); PointLiesOnLine(T, Line(B, D)); "
}
] |
geometry3k/train/1640/img_diagram_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(T, B, S)), 126); Equals(MeasureOf(Arc(Q, R)), 108); Equals(LengthOf(Line(S, B)), 5); PointLiesOnLine(B, Line(Q, ... |
geometry3k/train/1644/img_diagram_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(LengthOf(Line(A, C)), x); Equals(MeasureOf(Angle(A, B, C)), 45); Equals(LengthOf(Line(B, C)), ... |
geometry3k/train/1648/img_diagram_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)), 2x+9); Equals(LengthOf(Line(B, D)), 4x-5); Equals(MeasureOf(Angle(E, A, C)), 42); Equals(MeasureOf(Angle(E... |
geometry3k/train/1651/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 21); Equals(LengthOf(Line(D, C)), 9); Equals(LengthOf(Line(E, A)), 16); Equals(LengthOf(Line(F, B)), 7); E... |
geometry3k/train/1652/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, M), Line(P, L)); Perpendicular(Line(Z, Q), Line(Q, Y)); Equals(LengthOf(Line(M, P)), 16); Equals(LengthOf(Line(Y,... |
geometry3k/train/1653/img_diagram_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, H, G)), 2x); Equals(MeasureOf(Angle(I, G, M)), 54); Parallel(Line(M, D), Line(F, J)); PointLiesOnLine(H, Line... |
geometry3k/train/1656/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)), 2); Equals(LengthOf(Line(T, V)), 13); Perpendicular(Line(U, W), Line(T, W)); Perpendicular(Line(U, T), Lin... |
geometry3k/train/1658/img_diagram_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, E)), 142); Equals(MeasureOf(Arc(B, C)), 142); Equals(LengthOf(Line(A, E)), 3x+7); Equals(LengthOf(Line(B, C)), ... |
geometry3k/train/1659/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(L, K)), 14); Equals(MeasureOf(Angle(K, J, L)), 85); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J,... |
geometry3k/train/1663/img_diagram_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, D)), 3.5); Equals(LengthOf(Line(I, F)), 3); Equals(LengthOf(Line(G, N)), 5.5); Perpendicular(Line(D, I), Line(F... |
geometry3k/train/1664/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(B, C)), 12); Equals(MeasureOf(Angle(C, B, A)), 45); Equals(LengthOf(Line(A, B)), ... |
geometry3k/train/1665/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(M, Q, P)), 6x); Equals(MeasureOf(Angle(Q, P, N)), 7x+11); Equals(LengthOf(Line(Q, P)), x); "
}
] |
geometry3k/train/1666/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, U)), 15\\sqrt{3}); Equals(MeasureOf(Angle(S, U, T)), 63); Equals(LengthOf(Line(S, U)), x); Perpendicular(Line(T... |
geometry3k/train/1667/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)), 4); Perpendicular(Line(C, A), Line(C, D)); Equals(LengthOf(Line(A, B)), LengthOf(Line(D, A))); PointLiesOn... |
geometry3k/train/1668/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)), 8); Equals(MeasureOf(Angle(C, B, A)), 140); Equals(LengthOf(Line(A, B)), 18); Equals(LengthOf(Line(C, A)),... |
geometry3k/train/1669/img_diagram_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)), 15); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(B, A, C)), 45); Perpendicular(Line(B, C), Lin... |
geometry3k/train/1670/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), x+3); Equals(LengthOf(Line(D, C)), 6); Equals(LengthOf(Line(C, A)), 1); Equals(LengthOf(Line(E, C)), 11x-2... |
geometry3k/train/1671/img_diagram_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, A)), 55); Equals(MeasureOf(Angle(B, D, E)), 47); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(D, A, E))); E... |
geometry3k/train/1672/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)), 56); "
}
] |
geometry3k/train/1674/img_diagram_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)), 8); Equals(LengthOf(Line(A, E)), 20); Equals(LengthOf(Line(B, E)), 15); Equals(LengthOf(Line(C, A)), Lengt... |
geometry3k/train/1676/img_diagram_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, V)), 8); Equals(LengthOf(Line(J, H)), 9); Equals(LengthOf(Line(J, G)), 6); Equals(LengthOf(Line(C, B)), x); Per... |
geometry3k/train/1679/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)), 24); Equals(LengthOf(Line(L, J)), 17); Perpendicular(Line(L, J), Line(L, K)); "
}
] |
geometry3k/train/1682/img_diagram_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(MeasureOf(Angle(B, A, C)), 25); Equals(LengthOf(Line(B, C)), 15); Perpendicular(Line(A, B), Lin... |
geometry3k/train/1687/img_diagram_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(I, A, H)), x); Equals(MeasureOf(Angle(J, L, A)), 72); Equals(MeasureOf(Angle(C, J, G)), 50); Parallel(Line(C, N)... |
geometry3k/train/1689/img_diagram_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); Equals(MeasureOf(Angle(C, A, B)), 30); Equals(LengthOf(Line(C, B)), x); Equals(LengthOf(Line(C, A)), 1... |
geometry3k/train/1690/img_diagram_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, M)), 3x+5); Equals(LengthOf(Line(P, S)), 6x-7); Perpendicular(Line(J, M), Line(M, S)); Perpendicular(Line(P, T)... |
geometry3k/train/1691/img_diagram_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)), 45); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(C, B)), 19.5); Equals(MeasureOf(Angle(C, B... |
geometry3k/train/1692/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(L, J)), 13); Equals(LengthOf(Line(K, J)), 5); Equals(LengthOf(Line(K, L)), 12); Perpendicular(Line(K, J), Line(K, ... |
geometry3k/train/1694/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(X, Y, Z)), 128); Equals(LengthOf(Line(X, W)), LengthOf(Line(Y, X))); Equals(LengthOf(Line(X, W)), LengthOf(Line(... |
geometry3k/train/1695/img_diagram_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, A)), 2x+2y); Equals(MeasureOf(Angle(A, D, B)), 4y+x); Equals(MeasureOf(Angle(C, A, D)), x+y); "
}
] |
geometry3k/train/1696/img_diagram_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)), z); Equals(LengthOf(Line(A, D)), y); Equals(LengthOf(Line(B, D)), 6); Equals(LengthOf(Line(A, C)), x); Equ... |
geometry3k/train/1697/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)), 28); PointLiesOnLine(J, Line(F, H)); "
}
] |
geometry3k/train/1702/img_diagram_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)), 8); "
}
] |
geometry3k/train/1704/img_diagram_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, T)), 9); Equals(LengthOf(Line(T, R)), x); Equals(LengthOf(Line(V, S)), 5); Equals(LengthOf(Line(R, S)), 4); Equ... |
geometry3k/train/1705/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 4); Equals(LengthOf(Line(A, B)), 6); Equals(LengthOf(Line(D, C)), x); Equals(LengthOf(Line(B, C)), x+3); E... |
geometry3k/train/1707/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 14); Equals(LengthOf(Line(F, C)), 11); Equals(LengthOf(Line(D, B)), x); Equals(LengthOf(Line(B, F)), 20); ... |
geometry3k/train/1709/img_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(D, B), Line(D, P)); Perpendicular(Line(P, Q), Line(C, Q)); PointLiesOnLine(Q, Line(F, P)); PointLiesOnLine(D, Line(P... |
geometry3k/train/1711/img_diagram_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, M)), 8); Equals(LengthOf(Line(A, C)), 15); "
}
] |
geometry3k/train/1712/img_diagram_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, W)), 4x-4); Equals(LengthOf(Line(T, S)), 2x+2); Perpendicular(Line(W, T), Line(R, T)); Equals(LengthOf(Line(R, ... |
geometry3k/train/1715/img_diagram_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, E, G)), 6x+2); Equals(MeasureOf(Angle(H, F, G)), 3x+23); PointLiesOnLine(I, Line(H, F)); PointLiesOnLine(I, L... |
geometry3k/train/1716/img_diagram_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, G)), 5); Equals(LengthOf(Line(F, B)), 7-x); Equals(LengthOf(Line(S, A)), 2); Equals(LengthOf(Line(S, T)), x); P... |
geometry3k/train/1718/img_diagram_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)), 18); Equals(LengthOf(Line(D, B)), 12); "
}
] |
geometry3k/train/1721/img_diagram_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)), 42); Perpendicular(Line(M, S), Line(S, C)); Perpendicular(Line(M, D), Line(C, D)); PointLiesOnLine(D, Line... |
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(A, B)); 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(P, M... |
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(R, Q), Line(Q, P)); Perpendicular(Line(Q, 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(A, B)); 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(H, F)); 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(A, B)), x+2); Equals(LengthOf(Line(D, A)), 8); Equals(LengthOf(Line(D, E)), 5); Equals(LengthOf(Line(B, C)), 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(A, B, C)), 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(R, Q, S)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(P, R, Q)), 33); Equals(MeasureOf(Angle(P, Q, S)), 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(O, P)), 27); Perpendicular(Line(O, N), Line(N, M)); 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(G, H)), 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(B, A)), 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(C, M), Line(B, M)); Perpendicular(Line(C, B), 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(A, C)... |
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(A, B)), ... |
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(J, L)); 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(L, J)); "
}
] |
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(P, Q)), 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(I, G)), 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(P, G, C)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(C, G, E))); 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(G, L)); "
}
] |
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(E, B)), 3x); Equals(LengthOf(Line(H, A)), x+2); Equals(LengthOf(Line(B, D)), x); Equals(LengthOf(Line(D, H)), 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(K, L), Line(K, A)); 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(A, B)), 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, Y)), LengthOf(Line(X, W))); Equals(LengthOf(Line(Y, Z)), 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(H, A)), 15); Equals(LengthOf(Line(C, A)), x); Equals(LengthOf(Line(C, G)), 8); Equals(LengthOf(Line(C, H)), 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(M, H)); "
... |
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(X, F)), x); Equals(LengthOf(Line(B, X)), 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(S, R)); 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(D, B)); 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(D, A, C)), 3x-9); Equals(MeasureOf(Angle(B, X, E)), 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(C, B, D)), 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(... |
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