image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/13/img_diagram_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)), 2x+3); Equals(LengthOf(Line(J, D)), 4y); Equals(LengthOf(Line(C, A)), 8y-36); Equals(LengthOf(Line(B, J)),... |
geometry3k/train/15/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 10); Equals(LengthOf(Line(C, A)), y); Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(C, B)), ... |
geometry3k/train/16/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(E, B), Line(D, C)); PointLiesOnLine(E, Line(A, D)); PointLiesOnLine(B, Line(A, C)); "
}
] |
geometry3k/train/17/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, N, M)), MeasureOf(Angle(P, Q, M))); Equals(MeasureOf(Angle(N, P, Q)), MeasureOf(Angle(Q, M, N))); "
}
] |
geometry3k/train/18/img_diagram_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)), 4x-17); Equals(MeasureOf(Angle(C, B, A)), 3y+3); Equals(LengthOf(Line(D, C)), 2x-1); Equals(MeasureOf(Angl... |
geometry3k/train/19/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 10); Equals(LengthOf(Line(B, A)), 8); Equals(MeasureOf(Angle(A, D, E)), x); Equals(LengthOf(Line(B, C)), 8... |
geometry3k/train/20/img_diagram_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(X, C, A)), y+58); Equals(MeasureOf(Angle(A, B, X)), 5y-6); Equals(MeasureOf(Angle(C, A, B)), 3x-17); Equals(Meas... |
geometry3k/train/21/img_diagram_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, J, K)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(E, J, A)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/22/img_diagram_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, I)), 7); Equals(LengthOf(Line(A, C)), LengthOf(Line(C, E))); Equals(LengthOf(Line(C, I)), LengthOf(Line(E, C)))... |
geometry3k/train/23/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)), 2x+7); Equals(LengthOf(Line(S, R)), 3x-5); Equals(LengthOf(Line(T, S)), 22); Equals(LengthOf(Line(R, T)), ... |
geometry3k/train/24/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, W, Z)), 105); Equals(LengthOf(Line(X, Y)), 24); Equals(LengthOf(Line(Y, Z)), 28); "
}
] |
geometry3k/train/25/img_diagram_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)), y); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(B, D)), 9); Equals(LengthOf(Line(D, A)), 3\\sqrt... |
geometry3k/train/26/img_diagram_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)), y); Equals(LengthOf(Line(A, C)), x); Equals(MeasureOf(Angle(C, B, A)), 30); Equals(LengthOf(Line(B, C)), 1... |
geometry3k/train/27/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(M, P), Line(P, H)); PointLiesOnLine(H, Line(K, J)); PointLiesOnLine(P, Line(L, M)); PointLiesOnLine(H, Line(J, K)); ... |
geometry3k/train/29/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)), 4.5); Equals(MeasureOf(Angle(S, R, T)), x); Equals(LengthOf(Line(S, T)), 3); Equals(LengthOf(Line(T, R)), ... |
geometry3k/train/31/img_diagram_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, C, E)), x); Equals(MeasureOf(Angle(E, C, A)), 2x); Equals(MeasureOf(Angle(A, C, D)), x); PointLiesOnLine(C, L... |
geometry3k/train/32/img_diagram_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, H)), MeasureOf(Angle(11))); Equals(MeasureOf(Angle(12)), MeasureOf(Angle(B, F, A))); "
}
] |
geometry3k/train/33/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(B, D)); PointLiesOnLine(E, Line(C, A)); "
}
] |
geometry3k/train/34/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, O)), 3); Equals(MeasureOf(Angle(A, O, B)), 45); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(B, ... |
geometry3k/train/35/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(V, Line(U, Q)); PointLiesOnLine(S, Line(R, T)); "
}
] |
geometry3k/train/36/img_diagram_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, D)), 130); Equals(MeasureOf(Angle(A, B, C)), x); Equals(MeasureOf(Angle(D, B, C)), 95); PointLiesOnCircle(... |
geometry3k/train/38/img_diagram_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(B, A, C)), 60); Equals(LengthOf(Line(C, A)), 8); Equals(LengthOf(Line(B, C)), x... |
geometry3k/train/40/img_diagram_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(C, B)), 8); Equals(LengthOf(Line(C, A)), 14); Equals(LengthOf(Line(X, B)), x); Pe... |
geometry3k/train/41/img_diagram_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, L, N)), 25); Equals(LengthOf(Line(M, N)), 4); Perpendicular(Line(M, N), Line(M, L)); Perpendicular(Line(P, N)... |
geometry3k/train/42/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(G, Line(H, F)); PointLiesOnLine(J, Line(H, K)); "
}
] |
geometry3k/train/43/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, N)), 3x+2); Equals(LengthOf(Line(Q, L)), 12); Equals(LengthOf(Line(N, M)), 2y+5); Equals(LengthOf(Line(R, Q)), ... |
geometry3k/train/44/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, A)), 45); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(B, A)), 6); Perpendicular(Line(B, C)... |
geometry3k/train/45/img_diagram_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(Y, V, W)), 25); Equals(MeasureOf(Arc(Z, X)), 110); Equals(MeasureOf(Arc(Y, W)), x); PointLiesOnLine(Y, Line(B, V... |
geometry3k/train/46/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), 11); Equals(MeasureOf(Angle(J, K, L)), 65); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J,... |
geometry3k/train/47/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, R)), 10); Equals(LengthOf(Line(Q, R)), 12); Equals(LengthOf(Line(R, Z)), x); Equals(LengthOf(Line(A, Z)), y); E... |
geometry3k/train/48/img_diagram_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(Y, Q, F)), 4x-5); Equals(MeasureOf(Angle(Q, Y, E)), 3y+1); Equals(MeasureOf(Angle(M, A, Q)), 3x+11); Parallel(Li... |
geometry3k/train/49/img_diagram_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(Y, X, A)), 33); Equals(MeasureOf(Angle(Z, X, W)), 82); PointLiesOnLine(A, Line(Z, X)); PointLiesOnLine(A, Line(Y... |
geometry3k/train/50/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(G, H)), 2); Equals(LengthOf(Line(F, G)), 2.5); Equals(LengthOf(Line(F, H)), 4); Equals(LengthOf(Line(F, E)), 6); P... |
geometry3k/train/51/img_diagram_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(L, W, N)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(G, X, E)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/52/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, D)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(A, D, G))); Equals(MeasureOf(Angle(... |
geometry3k/train/53/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(F, O, E)), 45); Perpendicular(Line(C, O), Line(O, A)); Perpendicular(Line(O, E), Line(B, O)); PointLiesOnLine(O,... |
geometry3k/train/54/img_diagram_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, B)), 12); Equals(LengthOf(Line(B, C)), 8); "
}
] |
geometry3k/train/55/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 10); Equals(LengthOf(Line(A, C)), 6); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(C, A), Line(B, C... |
geometry3k/train/56/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, A, F)), 33); Equals(LengthOf(Line(B, A)), 10.9); Equals(LengthOf(Line(P, A)), 13); Equals(LengthOf(Line(E, P)... |
geometry3k/train/57/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, P), Line(D, P)); PointLiesOnLine(P, Line(C, A)); PointLiesOnLine(P, Line(B, D)); "
}
] |
geometry3k/train/58/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, D, E)), MeasureOf(Angle(7))); Equals(MeasureOf(Angle(E, F, B)), 63); Equals(MeasureOf(Angle(D, E, F)), 69); E... |
geometry3k/train/60/img_diagram_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(D, B)), 9); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(D, C)), z); Equ... |
geometry3k/train/61/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)), 60); Equals(LengthOf(Line(C, A)), 10); Equals(LengthOf(Line(A, B)), 8); Equals(LengthOf(a), LengthOf(... |
geometry3k/train/62/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(F, E), Line(E, C)); Perpendicular(Line(D, A), Line(D, F)); PointLiesOnLine(E, Line(B, C)); PointLiesOnLine(D, Line(B... |
geometry3k/train/63/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, E, C)), 2y); Equals(MeasureOf(Angle(F, D, E)), 110); Equals(MeasureOf(Angle(E, C, F)), 78); Equals(MeasureOf(... |
geometry3k/train/64/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(2)), MeasureOf(Angle(H, G, A))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(G, H, F))); Equals(MeasureOf(Angle(... |
geometry3k/train/65/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, D)), 55); Equals(MeasureOf(Angle(G, B, F)), 35); PointLiesOnLine(B, Line(D, A)); PointLiesOnLine(B, Line(C... |
geometry3k/train/66/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, D)), 60); Equals(LengthOf(Line(B, C)), 2x+5); Equals(LengthOf(Line(A, B)), 3x-13); Equals(MeasureOf(Angle(... |
geometry3k/train/67/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, T)), x); Equals(LengthOf(Line(R, Q)), 6); Equals(LengthOf(Line(S, Q)), 18); Equals(LengthOf(Line(S, R)), 14); E... |
geometry3k/train/68/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 5); Equals(LengthOf(Line(D, C)), 12); Equals(LengthOf(Line(C, B)), 31.2); Perpendicular(Line(B, D), Line(C... |
geometry3k/train/69/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(1)), MeasureOf(Angle(E, D, G))); Equals(MeasureOf(Angle(G, D, F)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/70/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(L, K)), 2); Equals(LengthOf(Line(J, K)), 12); Equals(LengthOf(Line(M, N)), 6); Equals(LengthOf(Line(M, L)), x); Po... |
geometry3k/train/71/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, E, F)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(G, E, H)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/72/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(4)), MeasureOf(Angle(Z, T, W))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(Z, W, T))); Equals(MeasureOf(Angle(... |
geometry3k/train/73/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)), 4); Equals(LengthOf(Line(R, Q)), x); Equals(LengthOf(Line(P, Q)), y); Equals(LengthOf(Line(S, P)), 2); Per... |
geometry3k/train/74/img_diagram_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)), 12); Equals(MeasureOf(Angle(B, A, C)), x); Equals(LengthOf(Line(A, B)), y); Perpendicular(Line(B, C), Line... |
geometry3k/train/75/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(U, V, W)), 3x-11); Equals(MeasureOf(Angle(V, U, Z)), x-8); Equals(MeasureOf(Angle(Y, W, V)), x+8); Equals(Measur... |
geometry3k/train/76/img_diagram_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)), 10); Equals(LengthOf(Line(B, C)), 30); Equals(LengthOf(Line(N, C)), 5); Perpendicular(Line(A, C), Line(C, ... |
geometry3k/train/77/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, T)), 2y+12); Equals(LengthOf(Line(R, T)), x); Equals(LengthOf(Line(Q, T)), 5y); Equals(LengthOf(Line(T, P)), 5x... |
geometry3k/train/78/img_diagram_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, G, D)), 135); Equals(MeasureOf(Angle(D, G, B)), 145); Equals(MeasureOf(Angle(E, G, C)), x); Equals(MeasureOf(... |
geometry3k/train/79/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)), 4y); Equals(LengthOf(Line(D, E)), 6x-12); Equals(LengthOf(Line(F, G)), 2x+36); Equals(LengthOf(Line(G, D))... |
geometry3k/train/80/img_diagram_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); Equals(LengthOf(Line(D, B)), 10); Equals(LengthOf(Line(E, B)), x); Equals(LengthOf(Line(B, C)), 12); P... |
geometry3k/train/81/img_diagram_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, B')), 8); Equals(LengthOf(Line(B, Q)), 6); Equals(LengthOf(Line(B, B')), x); PointLiesOnLine(D, Line(A, Q)); Po... |
geometry3k/train/82/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, E)), 9x+7); Equals(MeasureOf(Angle(G, D, E)), 5x); Equals(MeasureOf(Angle(F, E, D)), 5x); PointLiesOnLine(... |
geometry3k/train/83/img_diagram_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)), 12); Equals(LengthOf(Line(E, C)), 17); Equals(LengthOf(Line(E, D)), 17); Equals(LengthOf(Line(E, B)), 12);... |
geometry3k/train/84/img_diagram_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, T)), 10-2x); Equals(LengthOf(Line(M, J)), 12-3x); Equals(LengthOf(Line(L, I)), y+4/5); Equals(LengthOf(Line(C, ... |
geometry3k/train/86/img_diagram_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(13)), MeasureOf(Angle(K, A, J))); Equals(MeasureOf(Angle(14)), MeasureOf(Angle(K, A, E))); Equals(MeasureOf(Angl... |
geometry3k/train/87/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, Q)); PointLiesOnLine(P, Line(N, R)); "
}
] |
geometry3k/train/89/img_diagram_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(S, A, T)), 93); Equals(MeasureOf(Arc(R, S)), x); Equals(LengthOf(Line(R, S)), LengthOf(Line(T, S))); PointLiesOn... |
geometry3k/train/91/img_diagram_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)), x-1); Equals(LengthOf(Line(E, C)), x+2); Equals(LengthOf(Line(E, F)), 8); Equals(LengthOf(Line(B, A)), 3);... |
geometry3k/train/92/img_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(X, Y), Line(W, Y)); Equals(LengthOf(Line(Z, Y)), LengthOf(Line(Y, X))); PointLiesOnLine(Y, Line(Z, X)); PointLiesOnL... |
geometry3k/train/93/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(C, D)), 12); Equals(MeasureOf(Angle(C, B, D)), x); Equals(LengthOf(Line(B, D)), 1... |
geometry3k/train/94/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(2)), MeasureOf(Angle(C, D, F))); Equals(MeasureOf(Angle(C, H, B)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/95/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(B, C)), 170); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircl... |
geometry3k/train/96/img_diagram_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(O, N, P)), 56); Equals(MeasureOf(Angle(N, B, M)), 70); PointLiesOnCircle(O, Circle(B, radius_)); PointLiesOnCirc... |
geometry3k/train/97/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, D)), 12x+72); Equals(MeasureOf(Angle(B, C, A)), 3y+36); Equals(MeasureOf(Angle(D, A, C)), 25x+20); Equals(... |
geometry3k/train/98/img_diagram_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)), 11); Equals(LengthOf(Line(B, C)), 25); "
}
] |
geometry3k/train/100/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)), 72); Equals(LengthOf(Line(R, Q)), 25); Perpendicular(Line(Q, P), Line(R, Q)); "
}
] |
geometry3k/train/101/img_diagram_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)), 5); Equals(LengthOf(Line(N, A)), x); Equals(LengthOf(Line(A, B)), z); Equals(LengthOf(Line(N, Y)), y); Equ... |
geometry3k/train/102/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)), 6); Equals(MeasureOf(Angle(J, K, L)), 148); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J,... |
geometry3k/train/103/img_diagram_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, K, L)), 2x-11); Equals(MeasureOf(Angle(K, J, L)), 2x+27); Equals(MeasureOf(Angle(A, L, K)), 100); PointLiesOn... |
geometry3k/train/104/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)), c); Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(C, B)), a); Equals(MeasureOf(Angle(B, A, C... |
geometry3k/train/105/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(C, B)), 6); Equals(MeasureOf(Angle(C, A, B)), 30); Equals(LengthOf(Line(B, A)), x... |
geometry3k/train/106/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(F, Line(E, A)); PointLiesOnLine(D, Line(E, C)); PointLiesOnLine(P, Line(E, B)); PointLiesOnLine(B, Line(A, C)); PointLi... |
geometry3k/train/107/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(P, Circle(U, radius_)); PointLiesOnCircle(S, Circle(U, radius_)); PointLiesOnCircle(Q, Circle(U, radius_)); PointLies... |
geometry3k/train/110/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, R, Q)), 115); Perpendicular(Line(R, P), Line(N, R)); PointLiesOnLine(R, Line(M, P)); PointLiesOnCircle(Q, Cir... |
geometry3k/train/111/img_diagram_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)), 12); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(B, A, C)), 30); Equals(MeasureOf(Angle(A, C, ... |
geometry3k/train/113/img_diagram_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(3)), MeasureOf(Angle(F, E, A))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(B, A, E))); Equals(MeasureOf(Angle(... |
geometry3k/train/115/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(K, Line(J, G)); PointLiesOnLine(K, Line(F, H)); "
}
] |
geometry3k/train/116/img_diagram_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)), 68); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(B, A, C)), 50); Equals(LengthOf(Line(A, ... |
geometry3k/train/119/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)), 5\\sqrt{26}); Equals(MeasureOf(Angle(D, C, A)), x); Equals(LengthOf(Line(C, D)), 5); Equals(LengthOf(Line(... |
geometry3k/train/120/img_diagram_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, F, D)), MeasureOf(Angle(8))); PointLiesOnLine(B, Line(A, E)); PointLiesOnLine(A, Line(E, F)); PointLiesOnLine... |
geometry3k/train/121/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)), 4x+5); Equals(LengthOf(Line(Y, W)), 6x+3); Equals(LengthOf(Line(X, W)), 9x); Equals(LengthOf(Line(x, X)), ... |
geometry3k/train/122/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, V)), 15x); Equals(LengthOf(Line(T, S)), 11x-2); Equals(LengthOf(Line(U, T)), 8x+4); Perpendicular(Line(R, S), L... |
geometry3k/train/123/img_diagram_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, C)), 37); Equals(LengthOf(Line(C, E)), 24); Equals(LengthOf(Line(B, C)), 20); Perpendicular(Line(C, E), Li... |
geometry3k/train/124/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)), 4w-7); Equals(LengthOf(Line(T, U)), z+16); Equals(MeasureOf(Angle(C, B, E)), 2x+9); Equals(MeasureOf(Angle... |
geometry3k/train/125/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)), 12); Equals(MeasureOf(Angle(B, A, C)), 44); Equals(LengthOf(Line(B, C)), LengthOf(Line(A, B))); "
}
] |
geometry3k/train/126/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, W), Line(X, Y)); Perpendicular(Line(Z, W), Line(X, W)); Perpendicular(Line(Y, X), Line(Y, Z)); Perpendicular(Line... |
geometry3k/train/127/img_diagram_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, B, A)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(J, A, E)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/128/img_diagram_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)), 2.5); Perpendicular(Line(C, A), Line(B, C)); Equals(LengthOf(Line(C, D)), LengthOf(Line(B, C))); PointLies... |
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