diff --git a/pretraining/mathematica/geometry/solids/10250.txt b/pretraining/mathematica/geometry/solids/10250.txt
new file mode 100644
index 0000000000000000000000000000000000000000..78a6f05e3152050a805baa642c8a264d1ac63b46
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/10250.txt
@@ -0,0 +1,31 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0 & -\frac{1}{\sqrt{2}} & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6-1024 \text{$\#$1}^5+256 \text{$\#$1}^4+1408 \text{$\#$1}^3-608 \text{$\#$1}^2-96 \text{$\#$1}+47\&,1\right] \\
+ 0 & \frac{1}{\sqrt{2}} & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6-1024 \text{$\#$1}^5+256 \text{$\#$1}^4+1408 \text{$\#$1}^3-608 \text{$\#$1}^2-96 \text{$\#$1}+47\&,1\right] \\
+ 0 & -\sqrt{1+\frac{1}{\sqrt{2}}} & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ 0 & \sqrt{1+\frac{1}{\sqrt{2}}} & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{\sqrt{2}} & 0 & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6-1024 \text{$\#$1}^5+256 \text{$\#$1}^4+1408 \text{$\#$1}^3-608 \text{$\#$1}^2-96 \text{$\#$1}+47\&,1\right] \\
+ \frac{1}{\sqrt{2}} & 0 & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6-1024 \text{$\#$1}^5+256 \text{$\#$1}^4+1408 \text{$\#$1}^3-608 \text{$\#$1}^2-96 \text{$\#$1}+47\&,1\right] \\
+ -\frac{1}{2} \sqrt{1+\frac{1}{\sqrt{2}}} & \frac{1}{2} \sqrt{1-\frac{1}{\sqrt{2}}} & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6+1024 \text{$\#$1}^5+256 \text{$\#$1}^4-1408 \text{$\#$1}^3-608 \text{$\#$1}^2+96 \text{$\#$1}+47\&,6\right] \\
+ \frac{1}{2} \sqrt{1+\frac{1}{\sqrt{2}}} & -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{2}}} & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6+1024 \text{$\#$1}^5+256 \text{$\#$1}^4-1408 \text{$\#$1}^3-608 \text{$\#$1}^2+96 \text{$\#$1}+47\&,6\right] \\
+ \frac{1}{2}+\frac{1}{\sqrt{2}} & \frac{1}{2} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\sqrt{1+\frac{1}{\sqrt{2}}} & 0 & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ \sqrt{1+\frac{1}{\sqrt{2}}} & 0 & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{2} \sqrt{2+\sqrt{2}} & -\frac{1}{2} \sqrt{2+\sqrt{2}} & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{2} \sqrt{2+\sqrt{2}} & \frac{\sqrt{2+\sqrt{2}}}{2} & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ \frac{\sqrt{2+\sqrt{2}}}{2} & -\frac{1}{2} \sqrt{2+\sqrt{2}} & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ \frac{\sqrt{2+\sqrt{2}}}{2} & \frac{\sqrt{2+\sqrt{2}}}{2} & \frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{2} & -\frac{1}{2}-\frac{1}{\sqrt{2}} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ \frac{1}{2} & \frac{1}{2}+\frac{1}{\sqrt{2}} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ \frac{1}{2} & -\frac{1}{2}-\frac{1}{\sqrt{2}} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{2} & \frac{1}{2}+\frac{1}{\sqrt{2}} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ \frac{1}{2}+\frac{1}{\sqrt{2}} & -\frac{1}{2} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{2}-\frac{1}{\sqrt{2}} & \frac{1}{2} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{2}-\frac{1}{\sqrt{2}} & -\frac{1}{2} & -\frac{1}{2} \sqrt{-1-\sqrt{2}+\sqrt{5+\frac{7}{\sqrt{2}}}} \\
+ -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{2}}} & -\frac{1}{2} \sqrt{1+\frac{1}{\sqrt{2}}} & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6+1024 \text{$\#$1}^5+256 \text{$\#$1}^4-1408 \text{$\#$1}^3-608 \text{$\#$1}^2+96 \text{$\#$1}+47\&,6\right] \\
+ \frac{1}{2} \sqrt{1-\frac{1}{\sqrt{2}}} & \frac{1}{2} \sqrt{1+\frac{1}{\sqrt{2}}} & \text{Root}\left[512 \text{$\#$1}^8-512 \text{$\#$1}^6+1024 \text{$\#$1}^5+256 \text{$\#$1}^4-1408 \text{$\#$1}^3-608 \text{$\#$1}^2+96 \text{$\#$1}+47\&,6\right] \\
+\end{array}
+\right)$. Determine the SurfaceArea.
+Answer:
+$10+6 \sqrt{3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/11780.txt b/pretraining/mathematica/geometry/solids/11780.txt
new file mode 100644
index 0000000000000000000000000000000000000000..aa05239e386c8787cff35cfb1b4788c58da60f51
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/11780.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.111 & 0.564 & 0.258 \\
+ 0.823 & 0.432 & 0.9 \\
+ 0.967 & 0.259 & 0.694 \\
+ 0.061 & 0.806 & 0.686 \\
+ 0.276 & 0.505 & 0.105 \\
+ 0.799 & 0.97 & 0.664 \\
+ 0.097 & 0.488 & 0.874 \\
+ 0.039 & 0.091 & 0.566 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.19$ 
+Surface Area: $1.94$ 
+Solid Angle: $2.95$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/12777.txt b/pretraining/mathematica/geometry/solids/12777.txt
new file mode 100644
index 0000000000000000000000000000000000000000..810f2289ae431b9b75fc94af4658bbe7b16e5d18
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/12777.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.646 & 0.018 & 0.976 \\
+ 0.076 & 0.262 & 0.276 \\
+ 0.696 & 0.672 & 0.723 \\
+ 0.912 & 0.255 & 0.961 \\
+ 0.158 & 0.241 & 0.029 \\
+ 0.193 & 0.994 & 0.838 \\
+ 0.514 & 0.233 & 0.374 \\
+ 0.703 & 0.9 & 0.327 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $2.09$ 
+Volume: $0.19$ 
+Solid Angle: $1.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/12924.txt b/pretraining/mathematica/geometry/solids/12924.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0369c80800fa783e6afb2a978f483c2460257e75
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/12924.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.697 & 0.709 & 0.18 \\
+ 0.878 & 0.578 & 0.617 \\
+ 0.546 & 0.863 & 0.643 \\
+ 0.589 & 0.903 & 0.8 \\
+ 0.999 & 0.27 & 0.669 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.01$ 
+Solid Angle: $0.16$ 
+Surface Area: $0.5$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/13104.txt b/pretraining/mathematica/geometry/solids/13104.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ad6fdc48f6a36b9c45ff9e6d20e415a8a6ef88b9
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/13104.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.038 & 0.608 & 0.345 \\
+ 0.708 & 0.634 & 0.044 \\
+ 0.5 & 0.001 & 0.629 \\
+ 0.321 & 0.976 & 0.578 \\
+ 0.918 & 0.101 & 0.725 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.09$ 
+Solid Angle: $0.98$ 
+Surface Area: $1.41$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/13587.txt b/pretraining/mathematica/geometry/solids/13587.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1d4d329da22c4b1427e9587dfb5a6fa93a807386
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/13587.txt
@@ -0,0 +1,31 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -0.5 & -0.5 & -1.207 \\
+ -0.5 & 0.5 & -1.207 \\
+ 0. & -0.707 & 1.207 \\
+ 0. & 0.707 & 1.207 \\
+ 0.5 & -0.5 & -1.207 \\
+ 0.5 & 0.5 & -1.207 \\
+ -0.707 & 0. & 1.207 \\
+ 0.707 & 0. & 1.207 \\
+ 0.5 & 1.207 & -0.5 \\
+ 0.5 & 1.207 & 0.5 \\
+ -0.5 & 1.207 & -0.5 \\
+ -0.5 & 1.207 & 0.5 \\
+ -1.207 & 0.5 & -0.5 \\
+ -1.207 & 0.5 & 0.5 \\
+ -1.207 & -0.5 & -0.5 \\
+ -1.207 & -0.5 & 0.5 \\
+ -0.5 & -1.207 & -0.5 \\
+ -0.5 & -1.207 & 0.5 \\
+ 0.5 & -1.207 & -0.5 \\
+ 0.5 & -1.207 & 0.5 \\
+ 1.207 & -0.5 & -0.5 \\
+ 1.207 & -0.5 & 0.5 \\
+ 1.207 & 0.5 & -0.5 \\
+ 1.207 & 0.5 & 0.5 \\
+\end{array}
+\right)$. Determine the Circumdiameter.
+Answer:
+$2.8$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/16600.txt b/pretraining/mathematica/geometry/solids/16600.txt
new file mode 100644
index 0000000000000000000000000000000000000000..970297acbf9f1750503f7c45c59d07f66e9102ce
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/16600.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.82 & 0.548 & 0.783 \\
+ 0.722 & 0.697 & 0.369 \\
+ 0.594 & 0.11 & 0.809 \\
+ 0.724 & 0.636 & 0.831 \\
+ 0.51 & 0.799 & 0.324 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.46$ 
+Volume: $0.01$ 
+Solid Angle: $2.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/16861.txt b/pretraining/mathematica/geometry/solids/16861.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fa62b9e6873e94a04764c2b0929ef407d8367847
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/16861.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.893 & 0.105 & 0.518 \\
+ 0.396 & 0.486 & 0.82 \\
+ 0.197 & 0.077 & 0.996 \\
+ 0.596 & 0.614 & 0.337 \\
+ 0.518 & 0.775 & 0.46 \\
+ 0.779 & 0.714 & 0.281 \\
+ 0.33 & 0.155 & 0.685 \\
+ 0.657 & 0.479 & 0.337 \\
+ 0.742 & 0.355 & 0.872 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $1.13$ 
+Solid Angle: $1.02$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/19538.txt b/pretraining/mathematica/geometry/solids/19538.txt
new file mode 100644
index 0000000000000000000000000000000000000000..da1816b3e9b3362eb96fe2fb3c83d377eb8bc340
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/19538.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.471 & 0.04 & 0.231 \\
+ 0.611 & 0.581 & 0.222 \\
+ 0.123 & 0.646 & 0.785 \\
+ 0.415 & 0.814 & 0.578 \\
+ 0.029 & 0.927 & 0.203 \\
+ 0.235 & 0.109 & 0.667 \\
+ 0.965 & 0.418 & 0.951 \\
+ 0.528 & 0.029 & 0.408 \\
+ 0.846 & 0.273 & 0.024 \\
+ 0.082 & 0.999 & 0.626 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $2.32$ 
+Solid Angle: $2.51$ 
+Volume: $0.24$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/20784.txt b/pretraining/mathematica/geometry/solids/20784.txt
new file mode 100644
index 0000000000000000000000000000000000000000..be0c53da45c79cd371dda8f3458e9d2733b90c62
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/20784.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.98 & 0.975 & 0.313 \\
+ 0.823 & 0.678 & 0.087 \\
+ 0.633 & 0.202 & 0.982 \\
+ 0.969 & 0.636 & 0.134 \\
+ 0.975 & 0.89 & 0.677 \\
+ 0.93 & 0.955 & 0.929 \\
+ 0.275 & 0.257 & 0.277 \\
+ 0.068 & 0.976 & 0.545 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.23$ 
+Solid Angle: $1.96$ 
+Surface Area: $2.26$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/2364.txt b/pretraining/mathematica/geometry/solids/2364.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6616d486334ba8ce721502a6a6458ec89fedbc34
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/2364.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.334 & 0.834 & 0.957 \\
+ 0.883 & 0.788 & 0.307 \\
+ 0.756 & 0.759 & 0.992 \\
+ 0.051 & 0.693 & 0.474 \\
+ 0.795 & 0.842 & 0.584 \\
+ 0.836 & 0.538 & 0.604 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.57$ 
+Volume: $0.04$ 
+Surface Area: $0.93$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/23885.txt b/pretraining/mathematica/geometry/solids/23885.txt
new file mode 100644
index 0000000000000000000000000000000000000000..050e9a43d21b083dd839d6e60035ecab453c8b7d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/23885.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.765 & 0.834 & 0.127 \\
+ 0.889 & 0.107 & 0.118 \\
+ 0.894 & 0.46 & 0.876 \\
+ 0.929 & 0.842 & 0.175 \\
+ 0.821 & 0.858 & 0.331 \\
+ 0.83 & 0.652 & 0.937 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.87$ 
+Volume: $0.02$ 
+Solid Angle: $1.21$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/26674.txt b/pretraining/mathematica/geometry/solids/26674.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6cea9ca17dcbfc4e9e844a7d5dd412f4a7874140
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/26674.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.563 & 0.956 & 0.352 \\
+ 0.36 & 0.608 & 0.813 \\
+ 0.319 & 0.967 & 0.44 \\
+ 0.055 & 0.953 & 0.826 \\
+ 0.312 & 0.165 & 0.318 \\
+ 0.752 & 0.682 & 0.335 \\
+ 0.619 & 0.084 & 0.762 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $1.33$ 
+Solid Angle: $1.15$ 
+Volume: $0.09$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/27862.txt b/pretraining/mathematica/geometry/solids/27862.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eef9a154304b3d6acfba1434faeab0a84dd2f287
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/27862.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.51 & 0.784 & 0.346 \\
+ 0.108 & 0.009 & 0.191 \\
+ 0.628 & 0.471 & 0.427 \\
+ 0.902 & 0.802 & 0.774 \\
+ 0.186 & 0.264 & 0.602 \\
+ 0.27 & 0.82 & 0.825 \\
+ 0.008 & 0.872 & 0.141 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.11$ 
+Surface Area: $1.59$ 
+Solid Angle: $3.56$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/29361.txt b/pretraining/mathematica/geometry/solids/29361.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d854f00b45cb6f4fcc8a80249da82537335611e3
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/29361.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.985 & 0.498 & 0.113 \\
+ 0.063 & 0.783 & 0.62 \\
+ 0.653 & 0.366 & 0.279 \\
+ 0.419 & 0.486 & 0.173 \\
+ 0.01 & 0.986 & 0.193 \\
+ 0.565 & 0.363 & 0.347 \\
+ 0.967 & 0.903 & 0.452 \\
+ 0.029 & 0.777 & 0.169 \\
+ 0.528 & 0.261 & 0.829 \\
+ 0.525 & 0.948 & 0.479 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $1.06$ 
+Volume: $0.16$ 
+Surface Area: $1.79$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/30977.txt b/pretraining/mathematica/geometry/solids/30977.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8531ade192312dad83a9696c8150a34a2aab833b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/30977.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.458 & 0.575 & 0.345 \\
+ 0.752 & 0.929 & 0.61 \\
+ 0.153 & 0.971 & 0.842 \\
+ 0.908 & 0.319 & 0.254 \\
+ 0.35 & 0.119 & 0.909 \\
+ 0.975 & 0.661 & 0.23 \\
+ 0.875 & 0.924 & 0.744 \\
+ 0.526 & 0.345 & 0.429 \\
+ 0.023 & 0.894 & 0.957 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.14$ 
+Solid Angle: $3.15$ 
+Surface Area: $1.82$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/33016.txt b/pretraining/mathematica/geometry/solids/33016.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7c405a0c21ee47af08ae0297e29ba2588fe11023
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/33016.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.844 & 0.257 & 0.299 \\
+ 0.595 & 0.749 & 0.784 \\
+ 0.177 & 0.447 & 0.384 \\
+ 0.727 & 0.812 & 0.543 \\
+ 0.482 & 0.889 & 0.144 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.51$ 
+Surface Area: $0.86$ 
+Volume: $0.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/33845.txt b/pretraining/mathematica/geometry/solids/33845.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e780743d09af4e928c8a4333924ea4e5a58017a4
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/33845.txt
@@ -0,0 +1,6 @@
+Problem:
+A cylinder with radius $4.49$ is around the line from $\{7.092,-4.86,7.739\}$ to $\{5.145,-1.525,-5.018\}$. Estimate the cylinder's surface area, volume, and centroid.
+Answer:
+Centroid: $\{6.12,-3.19,1.36\}$ 
+Surface Area: $502.64$ 
+Volume: $844.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/33977.txt b/pretraining/mathematica/geometry/solids/33977.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ff2478ccf9673b8bacb6ca90e807b5745e9bff7e
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/33977.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.044 & 0.168 & 0.957 \\
+ 0.452 & 0.563 & 0.018 \\
+ 0.05 & 0.96 & 0.905 \\
+ 0.609 & 0.036 & 0.035 \\
+ 0.016 & 0.419 & 0.036 \\
+ 0.944 & 0.752 & 0.932 \\
+ 0.846 & 0.18 & 0.845 \\
+ 0.924 & 0.658 & 0.459 \\
+ 0.545 & 0.138 & 0.766 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $1.52$ 
+Volume: $0.39$ 
+Surface Area: $3.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/35454.txt b/pretraining/mathematica/geometry/solids/35454.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5c6bbad64f316ceb034734687758632b0fd93682
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/35454.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.299 & 0.068 & 0.264 \\
+ 0.691 & 0.055 & 0.241 \\
+ 0.746 & 0.444 & 0.861 \\
+ 0.223 & 0.555 & 0.376 \\
+ 0.286 & 0.127 & 0.139 \\
+ 0.902 & 0.769 & 0.172 \\
+ 0.732 & 0.869 & 0.962 \\
+ 0.231 & 0.834 & 0.01 \\
+ 0.926 & 0.578 & 0.718 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $2.2$ 
+Surface Area: $1.99$ 
+Volume: $0.19$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/37501.txt b/pretraining/mathematica/geometry/solids/37501.txt
new file mode 100644
index 0000000000000000000000000000000000000000..536cc990ef15a66704d4b843422e1bfade0e23d6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/37501.txt
@@ -0,0 +1,12 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0 & 0 & -\sqrt{\frac{2}{3}} \\
+ 0 & 0 & \sqrt{\frac{2}{3}} \\
+ -\frac{1}{2 \sqrt{3}} & -\frac{1}{2} & 0 \\
+ -\frac{1}{2 \sqrt{3}} & \frac{1}{2} & 0 \\
+ \frac{1}{\sqrt{3}} & 0 & 0 \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$9$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/40000.txt b/pretraining/mathematica/geometry/solids/40000.txt
new file mode 100644
index 0000000000000000000000000000000000000000..90cf5e65c5c1dca9f79c8e9a34ab22d03e884131
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/40000.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.526 & 0.384 & 0.478 \\
+ 0.153 & 0.181 & 0.253 \\
+ 0.187 & 0.646 & 0.649 \\
+ 0.071 & 0.896 & 0.564 \\
+ 0.527 & 0.364 & 0.118 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.6$ 
+Volume: $0.02$ 
+Solid Angle: $1.3$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/43908.txt b/pretraining/mathematica/geometry/solids/43908.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9b9c60bb60c2c8d6664d9dbad3e17e175495f378
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/43908.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.526 & 0.216 & 0.839 \\
+ 0.116 & 0.941 & 0.924 \\
+ 0.092 & 0.004 & 0.9 \\
+ 0.007 & 0.99 & 0.864 \\
+ 0.382 & 0.526 & 0.102 \\
+ 0.419 & 0.53 & 0.121 \\
+ 0.881 & 0.013 & 0.655 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.12$ 
+Solid Angle: $4.84$ 
+Surface Area: $1.74$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/43929.txt b/pretraining/mathematica/geometry/solids/43929.txt
new file mode 100644
index 0000000000000000000000000000000000000000..621b13d14f1a17538e73eff9a1d054fc695833b3
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/43929.txt
@@ -0,0 +1,22 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -1 & 0 & -\sqrt{\sqrt{3}-1} \\
+ -\frac{1}{2} & -\frac{\sqrt{3}}{2} & -\sqrt{\sqrt{3}-1} \\
+ -\frac{1}{2} & \frac{\sqrt{3}}{2} & -\sqrt{\sqrt{3}-1} \\
+ 0 & -1 & 0 \\
+ 0 & 1 & 0 \\
+ \frac{1}{2} & -\frac{\sqrt{3}}{2} & -\sqrt{\sqrt{3}-1} \\
+ \frac{1}{2} & \frac{\sqrt{3}}{2} & -\sqrt{\sqrt{3}-1} \\
+ 1 & 0 & -\sqrt{\sqrt{3}-1} \\
+ -\frac{1}{2 \sqrt{3}} & -\frac{1}{2} & \sqrt{\frac{2}{3}} \\
+ -\frac{1}{2 \sqrt{3}} & \frac{1}{2} & \sqrt{\frac{2}{3}} \\
+ \frac{1}{\sqrt{3}} & 0 & \sqrt{\frac{2}{3}} \\
+ -\frac{\sqrt{3}}{2} & -\frac{1}{2} & 0 \\
+ -\frac{\sqrt{3}}{2} & \frac{1}{2} & 0 \\
+ \frac{\sqrt{3}}{2} & -\frac{1}{2} & 0 \\
+ \frac{\sqrt{3}}{2} & \frac{1}{2} & 0 \\
+\end{array}
+\right)$. Determine the Centroid.
+Answer:
+$\left\{0,0,-\frac{\sqrt{\frac{34388823}{2}+12170346 \sqrt{3}-90 \sqrt{807276361713 \sqrt{3}-1281344819375}}}{15068}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/44813.txt b/pretraining/mathematica/geometry/solids/44813.txt
new file mode 100644
index 0000000000000000000000000000000000000000..99cf6800c5836763d5a3f40679b328fcdab68d9c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/44813.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.921 & 0.883 & 0.667 \\
+ 0.53 & 0.651 & 0.203 \\
+ 0.592 & 0.844 & 0.445 \\
+ 0.408 & 0.005 & 0.1 \\
+ 0.833 & 0.449 & 0.599 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.01$ 
+Solid Angle: $0.17$ 
+Surface Area: $0.69$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/45114.txt b/pretraining/mathematica/geometry/solids/45114.txt
new file mode 100644
index 0000000000000000000000000000000000000000..014d459d221f08ff5a1ae7a9b1e7918fb868bf96
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/45114.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.086 & 0.448 & 0.635 \\
+ 0.561 & 0.393 & 0.359 \\
+ 0.18 & 0.11 & 0.601 \\
+ 0.289 & 0.217 & 0.397 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.18$ 
+Volume: $0.$ 
+Surface Area: $0.23$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/45125.txt b/pretraining/mathematica/geometry/solids/45125.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f811cddd06daf95f3a5e3fac9fb582ffe463dde7
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/45125.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.108 & 0.985 & 0.388 \\
+ 0.714 & 0.079 & 0.836 \\
+ 0.697 & 0.032 & 0.998 \\
+ 0.91 & 0.529 & 0.47 \\
+ 0.268 & 0.912 & 0.806 \\
+ 0.33 & 0.852 & 0.21 \\
+ 0.669 & 0.14 & 0.201 \\
+ 0.146 & 0.543 & 0.303 \\
+ 0.798 & 0.875 & 0.384 \\
+ 0.091 & 0.868 & 0.695 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $2.03$ 
+Solid Angle: $1.77$ 
+Volume: $0.2$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/45461.txt b/pretraining/mathematica/geometry/solids/45461.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cc9dfc8a9692b5b32d09a1cb212ec1e0fdcb7b07
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/45461.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0 & -1 & -\frac{\sqrt{\frac{3}{2}}}{2} \\
+ 0 & 1 & -\frac{\sqrt{\frac{3}{2}}}{2} \\
+ -\frac{1}{\sqrt{3}} & -1 & \frac{1}{2 \sqrt{6}} \\
+ -\frac{1}{\sqrt{3}} & 1 & \frac{1}{2 \sqrt{6}} \\
+ -\frac{1}{2 \sqrt{3}} & -\frac{1}{2} & \frac{5}{2 \sqrt{6}} \\
+ -\frac{1}{2 \sqrt{3}} & \frac{1}{2} & \frac{5}{2 \sqrt{6}} \\
+ \frac{1}{\sqrt{3}} & 0 & \frac{5}{2 \sqrt{6}} \\
+ \frac{2}{\sqrt{3}} & 0 & \frac{1}{2 \sqrt{6}} \\
+ -\frac{\sqrt{3}}{2} & -\frac{1}{2} & -\frac{\sqrt{\frac{3}{2}}}{2} \\
+ -\frac{\sqrt{3}}{2} & \frac{1}{2} & -\frac{\sqrt{\frac{3}{2}}}{2} \\
+ \frac{\sqrt{3}}{2} & -\frac{1}{2} & -\frac{\sqrt{\frac{3}{2}}}{2} \\
+ \frac{\sqrt{3}}{2} & \frac{1}{2} & -\frac{\sqrt{\frac{3}{2}}}{2} \\
+\end{array}
+\right)$. Determine the Circumcenter.
+Answer:
+$\{0,0,0\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/4697.txt b/pretraining/mathematica/geometry/solids/4697.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3f4f82bc682a125602e396fbb8bda9cfeb59ebb1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/4697.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.944 & 0.299 & 0.66 \\
+ 0.805 & 0.91 & 0.753 \\
+ 0.146 & 0.313 & 0.878 \\
+ 0.779 & 0.89 & 0.884 \\
+ 0.531 & 0.734 & 0.756 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.65$ 
+Solid Angle: $0.2$ 
+Volume: $0.02$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/49755.txt b/pretraining/mathematica/geometry/solids/49755.txt
new file mode 100644
index 0000000000000000000000000000000000000000..07b517b31869ac941bb727a18e37f11717ae5f68
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/49755.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.663 & 0.852 & 0.895 \\
+ 0.484 & 0.261 & 0.844 \\
+ 0.89 & 0.254 & 0.968 \\
+ 0.418 & 0.832 & 0.957 \\
+ 0.372 & 0.207 & 0.071 \\
+ 0.653 & 0.908 & 0.022 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $2.42$ 
+Surface Area: $1.7$ 
+Volume: $0.13$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/51965.txt b/pretraining/mathematica/geometry/solids/51965.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5e17ed462225f9e7d65464ffac2ea54781199ec5
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/51965.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.327 & 0.001 & 0.516 \\
+ 0.31 & 0.047 & 0.005 \\
+ 0.771 & 0.518 & 0.332 \\
+ 0.954 & 0.623 & 0.632 \\
+ 0.083 & 0.311 & 0.622 \\
+ 0.463 & 0.926 & 0.282 \\
+ 0.261 & 0.937 & 0.984 \\
+ 0.676 & 0.039 & 0.781 \\
+ 0.274 & 0.849 & 0.107 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.26$ 
+Solid Angle: $3.26$ 
+Surface Area: $2.39$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/53889.txt b/pretraining/mathematica/geometry/solids/53889.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0734b5582a26c6d16752c5911e3110bc1e23e17e
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/53889.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.154 & 0.075 & 0.561 \\
+ 0.362 & 0.279 & 0.996 \\
+ 0.906 & 0.602 & 0.332 \\
+ 0.697 & 0.703 & 0.793 \\
+ 0.74 & 0.172 & 0.827 \\
+ 0.068 & 0.77 & 0.425 \\
+ 0.058 & 0.398 & 0.008 \\
+ 0.433 & 0.615 & 0.877 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $1.87$ 
+Volume: $0.17$ 
+Solid Angle: $1.61$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54215.txt b/pretraining/mathematica/geometry/solids/54215.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e9c9704085aec09fde2b7d89c729fb86551341a2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54215.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.174 & 0.285 & 0.822 \\
+ 0.371 & 0.642 & 0.953 \\
+ 0.823 & 0.07 & 0.016 \\
+ 0.542 & 0.156 & 0.231 \\
+ 0.961 & 0.475 & 0.92 \\
+ 0.782 & 0.589 & 0.142 \\
+ 0.993 & 0.667 & 0.973 \\
+ 0.874 & 0.077 & 0.997 \\
+ 0.438 & 0.256 & 0.016 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.2$ 
+Solid Angle: $1.42$ 
+Surface Area: $2.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54669.txt b/pretraining/mathematica/geometry/solids/54669.txt
new file mode 100644
index 0000000000000000000000000000000000000000..afa91720ea2243da30b127073e46af850daa3546
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54669.txt
@@ -0,0 +1,5 @@
+Problem:
+A sphere centered at $\{7.036,4.515,-0.259\}$ has radius $0.705$. Estimate the sphere's surface area and volume.
+Answer:
+Volume: $1.47$ 
+Surface Area: $6.24$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54801.txt b/pretraining/mathematica/geometry/solids/54801.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dddfdbb1fe8ee81740ffbd90d072ec6af11f8dc6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54801.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.327 & 0.803 & 0.44 \\
+ 0.565 & 0.793 & 0.687 \\
+ 0.325 & 0.733 & 0.9 \\
+ 0.142 & 0.603 & 0.81 \\
+ 0.373 & 0.106 & 0.545 \\
+ 0.731 & 0.147 & 0.341 \\
+ 0.8 & 0.07 & 0.601 \\
+ 0.449 & 0.712 & 0.047 \\
+ 0.825 & 0.209 & 0.621 \\
+ 0.684 & 0.651 & 0.968 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $1.52$ 
+Solid Angle: $3.$ 
+Volume: $0.12$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/57410.txt b/pretraining/mathematica/geometry/solids/57410.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2620804ef6f5063ff3ce9d061683d3adbf245e6f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/57410.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.995 & 0.514 & 0.578 \\
+ 0.534 & 0.709 & 0.931 \\
+ 0.682 & 0.022 & 0.895 \\
+ 0.87 & 0.562 & 0.181 \\
+ 0.432 & 0.213 & 0.085 \\
+ 0.005 & 0.55 & 0.686 \\
+ 0.782 & 0.193 & 0.749 \\
+ 0.609 & 0.395 & 0.003 \\
+ 0.778 & 0.91 & 0.944 \\
+ 0.641 & 0.011 & 0.818 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.19$ 
+Surface Area: $2.02$ 
+Solid Angle: $2.75$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/57571.txt b/pretraining/mathematica/geometry/solids/57571.txt
new file mode 100644
index 0000000000000000000000000000000000000000..72496592c78f066ef2f7aa26924c9aee8b15f4a3
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/57571.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.022 & 0.043 & 0.275 \\
+ 0.552 & 0.943 & 0.35 \\
+ 0.742 & 0.589 & 0.966 \\
+ 0.211 & 0.566 & 0.693 \\
+ 0.708 & 0.051 & 0.633 \\
+ 0.013 & 0.804 & 0.594 \\
+ 0.803 & 0.771 & 0.974 \\
+ 0.059 & 0.84 & 0.215 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.15$ 
+Surface Area: $2.$ 
+Solid Angle: $0.57$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/58061.txt b/pretraining/mathematica/geometry/solids/58061.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3857641d27c220792a6e4d1c3e30de89d1393aed
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/58061.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.191 & 0.17 & 0.724 \\
+ 0.284 & 0.593 & 0.997 \\
+ 0.104 & 0.809 & 0.638 \\
+ 0.689 & 0.68 & 0.902 \\
+ 0.42 & 0.745 & 0.333 \\
+ 0.227 & 0.144 & 0.675 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.05$ 
+Surface Area: $0.85$ 
+Solid Angle: $1.45$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/5850.txt b/pretraining/mathematica/geometry/solids/5850.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fc569d0db6adc4f90bf66f6620a0a2922a2e6def
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/5850.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.962 & 0.285 & 0.518 \\
+ 0.335 & 0.872 & 0.916 \\
+ 0.627 & 0.347 & 0.726 \\
+ 0.125 & 0.357 & 0.11 \\
+ 0.132 & 0.828 & 0.483 \\
+ 0.263 & 0.323 & 0.909 \\
+ 0.04 & 0.227 & 0.58 \\
+ 0.813 & 0.372 & 0.137 \\
+ 0.562 & 0.876 & 0.902 \\
+ 0.024 & 0.629 & 0.973 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $2.03$ 
+Volume: $0.19$ 
+Solid Angle: $1.1$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/58933.txt b/pretraining/mathematica/geometry/solids/58933.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ac374fa14bf01beff202d0858bd24c03d8d6c449
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/58933.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.937 & 0.583 & 0.334 \\
+ 0.389 & 0.529 & 0.95 \\
+ 0.233 & 0.862 & 0.807 \\
+ 0.58 & 0.095 & 0.649 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.72$ 
+Solid Angle: $0.12$ 
+Volume: $0.02$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/59499.txt b/pretraining/mathematica/geometry/solids/59499.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5b540985c5c6a9ef08beb579585a47e1161f6a05
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/59499.txt
@@ -0,0 +1,21 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.818 & 0.206 & 0.509 \\
+ 0.253 & 0.661 & 0.849 \\
+ 0.896 & 0.74 & 0.629 \\
+ 0.108 & 0.867 & 0.446 \\
+ 0.33 & 0.359 & 0.056 \\
+ 0.474 & 0.902 & 0.033 \\
+ 0.416 & 0.238 & 0.95 \\
+ 0.109 & 0.588 & 0.25 \\
+ 0.186 & 0.133 & 0.544 \\
+ 0.722 & 0.505 & 0.008 \\
+ 0.389 & 0.966 & 0.24 \\
+ 0.723 & 0.686 & 0.004 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.25$ 
+Solid Angle: $2.24$ 
+Surface Area: $2.2$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/66114.txt b/pretraining/mathematica/geometry/solids/66114.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d6ab6aa0a33dca04ab922dae417a0149754767f2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/66114.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.274 & 0.743 & 0.957 \\
+ 0.478 & 0.105 & 0.386 \\
+ 0.435 & 0.312 & 0.147 \\
+ 0.021 & 0.147 & 0.793 \\
+ 0.955 & 0.16 & 0.318 \\
+ 0.195 & 0.567 & 0.331 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $1.28$ 
+Volume: $0.08$ 
+Solid Angle: $0.52$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/66854.txt b/pretraining/mathematica/geometry/solids/66854.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f64a438a0b985475aa9db64192a20183224c9daf
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/66854.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.208 & 0.444 & 0.742 \\
+ 0.142 & 0.209 & 0.966 \\
+ 0.095 & 0.008 & 0.669 \\
+ 0.381 & 0.206 & 0.379 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.39$ 
+Surface Area: $0.31$ 
+Volume: $0.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/67018.txt b/pretraining/mathematica/geometry/solids/67018.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5478cd4c68416b6a0db894bdabf93c51ffcb8c36
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/67018.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.162 & 0.941 & 0.265 \\
+ 0.404 & 0.615 & 0.93 \\
+ 0.749 & 0.223 & 0.725 \\
+ 0.455 & 0.064 & 0.063 \\
+ 0.874 & 0.282 & 0.574 \\
+ 0.951 & 0.753 & 0.451 \\
+ 0.909 & 0.267 & 0.203 \\
+ 0.687 & 0.644 & 0.81 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $1.79$ 
+Volume: $0.15$ 
+Solid Angle: $0.65$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/71412.txt b/pretraining/mathematica/geometry/solids/71412.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2154bfe95a4756bb41e32701304a902ca097dca4
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/71412.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.548 & 0.039 & 0.374 \\
+ 0.69 & 0.885 & 0.286 \\
+ 0.558 & 0.655 & 0.417 \\
+ 0.254 & 0.165 & 0.942 \\
+ 0.805 & 0.742 & 0.756 \\
+ 0.884 & 0.13 & 0.562 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $1.22$ 
+Surface Area: $1.17$ 
+Volume: $0.07$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/73725.txt b/pretraining/mathematica/geometry/solids/73725.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3805fbcea37d1b334b9dcd59a9638f59b005612f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/73725.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.022 & 0.239 & 0.698 \\
+ 0.812 & 0.361 & 0.9 \\
+ 0.724 & 0.789 & 0.101 \\
+ 0.499 & 0.938 & 0.326 \\
+ 0.889 & 0.062 & 0.846 \\
+ 0.472 & 0.093 & 0.171 \\
+ 0.049 & 0.283 & 0.674 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.14$ 
+Surface Area: $1.73$ 
+Solid Angle: $0.83$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/73987.txt b/pretraining/mathematica/geometry/solids/73987.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fe4f506786c16836b8108b13f487278ba3993dd7
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/73987.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.609 & 0.158 & 0.958 \\
+ 0.661 & 0.21 & 0.83 \\
+ 0.741 & 0.754 & 0.559 \\
+ 0.675 & 0.069 & 0.636 \\
+ 0.146 & 0.758 & 0.939 \\
+ 0.184 & 0.575 & 0.389 \\
+ 0.775 & 0.838 & 0.038 \\
+ 0.476 & 0.326 & 0.414 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.11$ 
+Solid Angle: $0.92$ 
+Surface Area: $1.5$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/75967.txt b/pretraining/mathematica/geometry/solids/75967.txt
new file mode 100644
index 0000000000000000000000000000000000000000..be097f29599dcbe66ded050556fb2ef739cfec11
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/75967.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.004 & 0.114 & 0.611 \\
+ 0.438 & 0.76 & 0.378 \\
+ 0.358 & 0.599 & 0.359 \\
+ 0.049 & 0.723 & 0.187 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.35$ 
+Solid Angle: $0.03$ 
+Volume: $0.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/76527.txt b/pretraining/mathematica/geometry/solids/76527.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bdd4b4b162b7ef6becbb73adfcbfb1c6cdb1c229
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/76527.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.865 & 0.638 & 0.927 \\
+ 0.206 & 0.79 & 0.515 \\
+ 0.928 & 0.637 & 0.751 \\
+ 0.48 & 0.233 & 0.639 \\
+ 0.342 & 0.583 & 0.194 \\
+ 0.19 & 0.863 & 0.636 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.88$ 
+Volume: $0.04$ 
+Solid Angle: $0.86$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/76823.txt b/pretraining/mathematica/geometry/solids/76823.txt
new file mode 100644
index 0000000000000000000000000000000000000000..da08127f8fac925c67979f7bd544da192ce0f94a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/76823.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.281 & 0.985 & 0.259 \\
+ 0.909 & 0.729 & 0.362 \\
+ 0.841 & 0.592 & 0.544 \\
+ 0.986 & 0.271 & 0.186 \\
+ 0.349 & 0.857 & 0.99 \\
+ 0.727 & 0.417 & 0.225 \\
+ 0.12 & 0.137 & 0.803 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.95$ 
+Surface Area: $1.78$ 
+Volume: $0.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/77209.txt b/pretraining/mathematica/geometry/solids/77209.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4a2f93ef77ea742b3ad36cdb6598edc6dc47e7e6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/77209.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.939 & 0.147 & 0.673 \\
+ 0.616 & 0.33 & 0.883 \\
+ 0.276 & 0.289 & 0.23 \\
+ 0.94 & 0.574 & 0.541 \\
+ 0.175 & 0.751 & 0.833 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $1.06$ 
+Solid Angle: $0.79$ 
+Volume: $0.06$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/77242.txt b/pretraining/mathematica/geometry/solids/77242.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f33b3ef3143dc3a373359bfe64e7e780e3fc0adc
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/77242.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.042 & 0.076 & 0.091 \\
+ 0.045 & 0.533 & 0.021 \\
+ 0.545 & 0.582 & 0.469 \\
+ 0.283 & 0.201 & 0.889 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.38$ 
+Volume: $0.02$ 
+Surface Area: $0.8$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/7945.txt b/pretraining/mathematica/geometry/solids/7945.txt
new file mode 100644
index 0000000000000000000000000000000000000000..46852fcdc41a603b4144a27e54d23bfb94fd0f88
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/7945.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.982 & 0.198 & 0.179 \\
+ 0.028 & 0.772 & 0.697 \\
+ 0.685 & 0.375 & 0.046 \\
+ 0.068 & 0.902 & 0.068 \\
+ 0.039 & 0.785 & 0.822 \\
+ 0.447 & 0.066 & 0.588 \\
+ 0.232 & 0.357 & 0.316 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.38$ 
+Surface Area: $1.54$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/82829.txt b/pretraining/mathematica/geometry/solids/82829.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e2ab3bc29a97669d4097ded3303b31a2d22a79c9
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/82829.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.303 & 0.312 & 0.935 \\
+ 0.851 & 0.037 & 0.144 \\
+ 0.944 & 0.256 & 0.776 \\
+ 0.852 & 0.6 & 0.349 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.82$ 
+Solid Angle: $0.22$ 
+Volume: $0.03$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/82933.txt b/pretraining/mathematica/geometry/solids/82933.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dbb7464f2446346c96069589ba610a8a0ba8761a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/82933.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.87 & 0.108 & 0.974 \\
+ 0.012 & 0.373 & 0.552 \\
+ 0.871 & 0.418 & 0.13 \\
+ 0.122 & 0.607 & 0.2 \\
+ 0.934 & 0.519 & 0.973 \\
+ 0.841 & 0.984 & 0.885 \\
+ 0.461 & 0.766 & 0.725 \\
+ 0.245 & 0.123 & 0.072 \\
+ 0.367 & 0.987 & 0.502 \\
+ 0.442 & 0.197 & 0.076 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.27$ 
+Solid Angle: $0.98$ 
+Surface Area: $2.51$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/83179.txt b/pretraining/mathematica/geometry/solids/83179.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e9bc0f31a9520d619bf0d647e02098b5f24586c2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/83179.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.877 & 0.48 & 0.539 \\
+ 0.686 & 0.595 & 0.18 \\
+ 0.76 & 0.129 & 0.207 \\
+ 0.765 & 0.341 & 0.677 \\
+ 0.273 & 0.912 & 0.295 \\
+ 0.295 & 0.714 & 0.179 \\
+ 0.937 & 0.582 & 0.92 \\
+ 0.97 & 0.089 & 0.716 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $5.11$ 
+Volume: $0.06$ 
+Surface Area: $1.25$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/83301.txt b/pretraining/mathematica/geometry/solids/83301.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b4354c0bf06770799e2dd515a48acaa337f03241
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/83301.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.994 & 0.923 & 0.367 \\
+ 0.05 & 0.409 & 0.506 \\
+ 0.667 & 0.82 & 0.273 \\
+ 0.775 & 0.835 & 0.8 \\
+ 0.727 & 0.177 & 0.77 \\
+ 0.944 & 0.684 & 0.304 \\
+ 0.816 & 0.132 & 0.872 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.08$ 
+Solid Angle: $1.09$ 
+Surface Area: $1.32$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/83931.txt b/pretraining/mathematica/geometry/solids/83931.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5d03bc3dd79256aef49b9610195bdfb8797c67cb
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/83931.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.493 & 0.84 & 0.088 \\
+ 0.013 & 0.823 & 0.976 \\
+ 0.956 & 0.921 & 0.54 \\
+ 0.392 & 0.133 & 0.191 \\
+ 0.842 & 0.128 & 0.92 \\
+ 0.164 & 0.211 & 0.052 \\
+ 0.337 & 0.781 & 0.923 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $2.39$ 
+Volume: $0.23$ 
+Solid Angle: $1.51$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/85944.txt b/pretraining/mathematica/geometry/solids/85944.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0624dbf570b6334c2444586bdc4f3fbaaf97ffde
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/85944.txt
@@ -0,0 +1,27 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -\sqrt{1+\frac{2}{\sqrt{5}}} & 0 & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \sqrt{1+\frac{2}{\sqrt{5}}} & 0 & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{4} \left(-3-\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{4} \left(3+\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \frac{1}{4} \left(-1-\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \frac{1}{4} \left(1+\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(-1-\sqrt{5}\right) & \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(1+\sqrt{5}\right) & \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} & -\frac{1}{2} & -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} & \frac{1}{2} & -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & -\frac{1}{2} & \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & \frac{1}{2} & \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & 0 & -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \frac{1}{4} \left(-1-\sqrt{5}\right) & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \frac{1}{4} \left(1+\sqrt{5}\right) & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & 0 & \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(-1-\sqrt{5}\right) & -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(1+\sqrt{5}\right) & -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} \\
+ \sqrt{\frac{1}{8}+\frac{1}{8 \sqrt{5}}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \sqrt{\frac{1}{8}+\frac{1}{8 \sqrt{5}}} & \frac{1}{4} \left(3+\sqrt{5}\right) & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+\end{array}
+\right)$. Determine the Centroid.
+Answer:
+$\{0,0,0\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/87131.txt b/pretraining/mathematica/geometry/solids/87131.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2e1e24ede7dd12f6a469ca8ea5a0e8484a69bec2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/87131.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.683 & 0.106 & 0.661 \\
+ 0.789 & 0.724 & 0.778 \\
+ 0.19 & 0.855 & 0.56 \\
+ 0.527 & 0.494 & 0.89 \\
+ 0.518 & 0.88 & 0.583 \\
+ 0.07 & 0.219 & 0.707 \\
+ 0.979 & 0.353 & 0.043 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.13$ 
+Solid Angle: $1.84$ 
+Surface Area: $1.59$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/87936.txt b/pretraining/mathematica/geometry/solids/87936.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a2da00436230f61349b7711c43691134795c0b85
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/87936.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.081 & 0.897 & 0.122 \\
+ 0.678 & 0.61 & 0.075 \\
+ 0.065 & 0.992 & 0.588 \\
+ 0.528 & 0.073 & 0.775 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.03$ 
+Solid Angle: $0.6$ 
+Surface Area: $1.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/88071.txt b/pretraining/mathematica/geometry/solids/88071.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1eef68c0e95f082a796b519f9cbd40fbf108e831
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/88071.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.38 & 0.897 & 0.691 \\
+ 0.616 & 0.298 & 0.638 \\
+ 0.466 & 0.588 & 0.242 \\
+ 0.679 & 0.194 & 0.46 \\
+ 0.179 & 0.584 & 0.382 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.02$ 
+Solid Angle: $0.31$ 
+Surface Area: $0.54$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/88432.txt b/pretraining/mathematica/geometry/solids/88432.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fb7bc2e82ed461b857187d985773d05633093da8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/88432.txt
@@ -0,0 +1,6 @@
+Problem:
+A cylinder with radius $2.377$ is around the line from $\{-8.598,1.189,-7.001\}$ to $\{-3.668,7.708,-6.345\}$. Estimate the cylinder's surface area, volume, and centroid.
+Answer:
+Surface Area: $157.95$ 
+Volume: $145.53$ 
+Centroid: $\{-6.13,4.45,-6.67\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/88754.txt b/pretraining/mathematica/geometry/solids/88754.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e35d3521e2ad63dba51b36ef33cce0388935aa0b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/88754.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -\frac{1}{2} & 0 & \frac{1}{4} \left(-1-\sqrt{5}\right) \\
+ -\frac{1}{2} & 0 & \frac{1}{4} \left(1+\sqrt{5}\right) \\
+ 0 & \frac{1}{4} \left(-1-\sqrt{5}\right) & -\frac{1}{2} \\
+ 0 & \frac{1}{4} \left(1+\sqrt{5}\right) & -\frac{1}{2} \\
+ \frac{1}{2} & 0 & \frac{1}{4} \left(-1-\sqrt{5}\right) \\
+ \frac{1}{2} & 0 & \frac{1}{4} \left(1+\sqrt{5}\right) \\
+ \frac{1}{4} \left(-1-\sqrt{5}\right) & -\frac{1}{2} & 0 \\
+ \frac{1}{4} \left(-1-\sqrt{5}\right) & \frac{1}{2} & 0 \\
+ \frac{1}{4} \left(1+\sqrt{5}\right) & -\frac{1}{2} & 0 \\
+ \frac{1}{4} \left(1+\sqrt{5}\right) & \frac{1}{2} & 0 \\
+\end{array}
+\right)$. Determine the Volume.
+Answer:
+$\frac{1}{6} \left(5+2 \sqrt{5}\right)$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/90071.txt b/pretraining/mathematica/geometry/solids/90071.txt
new file mode 100644
index 0000000000000000000000000000000000000000..82a1876deee60e3a440422674dfa86395284c488
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/90071.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.286 & 0.099 & 0.644 \\
+ 0.285 & 0.126 & 0.19 \\
+ 0.789 & 0.025 & 0.807 \\
+ 0.083 & 0.653 & 0.867 \\
+ 0.221 & 0.284 & 0.88 \\
+ 0.329 & 0.459 & 0.051 \\
+ 0.88 & 0.007 & 0.603 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $3.53$ 
+Surface Area: $1.31$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/90369.txt b/pretraining/mathematica/geometry/solids/90369.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d4f6405722f46d697ee270994a80d90282bc367b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/90369.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.278 & 0.121 & 0.643 \\
+ 0.503 & 0.116 & 0.415 \\
+ 0.049 & 0.597 & 0.303 \\
+ 0.233 & 0.807 & 0.992 \\
+ 0.865 & 0.964 & 0.562 \\
+ 0.92 & 0.56 & 0.099 \\
+ 0.685 & 0.228 & 0.057 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $1.27$ 
+Volume: $0.14$ 
+Surface Area: $1.9$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/9350.txt b/pretraining/mathematica/geometry/solids/9350.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5d2a11bd560e6a5450a770b0508e1cef3e3dcd95
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/9350.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.686 & 0.317 & 0.61 \\
+ 0.48 & 0.159 & 0.142 \\
+ 0.142 & 0.915 & 0.354 \\
+ 0.629 & 0.682 & 0.607 \\
+ 0.648 & 0.72 & 0.404 \\
+ 0.3 & 0.996 & 0.001 \\
+ 0.568 & 0.407 & 0.633 \\
+ 0.512 & 0.641 & 0.787 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $1.25$ 
+Surface Area: $1.13$ 
+Volume: $0.06$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/94127.txt b/pretraining/mathematica/geometry/solids/94127.txt
new file mode 100644
index 0000000000000000000000000000000000000000..29f87a5437cc168873cac490d57501200e9946cd
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/94127.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.046 & 0.417 & 0.079 \\
+ 0.405 & 0.574 & 0.526 \\
+ 0.697 & 0.474 & 0.72 \\
+ 0.286 & 0.708 & 0.258 \\
+ 0.92 & 0.165 & 0.647 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.15$ 
+Volume: $0.01$ 
+Surface Area: $0.63$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/95121.txt b/pretraining/mathematica/geometry/solids/95121.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7d684365ab9068b8f59c6a3f8047c050656a4ed1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/95121.txt
@@ -0,0 +1,42 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0 & \frac{1}{2} \left(-1-\sqrt{5}\right) & -\frac{1}{2} \\
+ 0 & \frac{1}{2} \left(-1-\sqrt{5}\right) & \frac{1}{2} \\
+ 0 & \frac{1}{2} \left(1+\sqrt{5}\right) & -\frac{1}{2} \\
+ 0 & \frac{1}{2} \left(1+\sqrt{5}\right) & \frac{1}{2} \\
+ \sqrt{\frac{1}{2}+\frac{1}{2 \sqrt{5}}} & 0 & \frac{1}{10} \left(-5-\sqrt{10 \left(5-\sqrt{5}\right)}\right) \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(-1-\sqrt{5}\right) & \frac{1}{10} \left(-5-\sqrt{10 \left(5-\sqrt{5}\right)}\right) \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(1+\sqrt{5}\right) & \frac{1}{10} \left(-5-\sqrt{10 \left(5-\sqrt{5}\right)}\right) \\
+ -\sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & -\frac{1}{2} \\
+ -\sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & \frac{1}{2} \\
+ -\sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(3+\sqrt{5}\right) & -\frac{1}{2} \\
+ -\sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(3+\sqrt{5}\right) & \frac{1}{2} \\
+ \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & -\frac{1}{2} \\
+ \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & \frac{1}{2} \\
+ \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(3+\sqrt{5}\right) & -\frac{1}{2} \\
+ \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(3+\sqrt{5}\right) & \frac{1}{2} \\
+ -\sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & -\frac{1}{2} & \frac{1}{10} \left(-5-\sqrt{10 \left(5-\sqrt{5}\right)}\right) \\
+ -\sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & \frac{1}{2} & \frac{1}{10} \left(-5-\sqrt{10 \left(5-\sqrt{5}\right)}\right) \\
+ -\sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & -\frac{1}{2} & -\frac{1}{2} \\
+ -\sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & -\frac{1}{2} & \frac{1}{2} \\
+ -\sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & \frac{1}{2} & -\frac{1}{2} \\
+ -\sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & \frac{1}{2} & \frac{1}{2} \\
+ \sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & -\frac{1}{2} & -\frac{1}{2} \\
+ \sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & -\frac{1}{2} & \frac{1}{2} \\
+ \sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & \frac{1}{2} & -\frac{1}{2} \\
+ \sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & \frac{1}{2} & \frac{1}{2} \\
+ \sqrt{\frac{1}{5} \left(5+2 \sqrt{5}\right)} & 0 & \frac{1}{10} \left(5+\sqrt{10 \left(5+\sqrt{5}\right)}\right) \\
+ \sqrt{\frac{1}{8}+\frac{1}{8 \sqrt{5}}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & \frac{1}{10} \left(5+\sqrt{10 \left(5+\sqrt{5}\right)}\right) \\
+ \sqrt{\frac{1}{8}+\frac{1}{8 \sqrt{5}}} & \frac{1}{4} \left(3+\sqrt{5}\right) & \frac{1}{10} \left(5+\sqrt{10 \left(5+\sqrt{5}\right)}\right) \\
+ -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \frac{1}{4} \left(-1-\sqrt{5}\right) & \frac{1}{10} \left(5+\sqrt{10 \left(5+\sqrt{5}\right)}\right) \\
+ -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \frac{1}{4} \left(1+\sqrt{5}\right) & \frac{1}{10} \left(5+\sqrt{10 \left(5+\sqrt{5}\right)}\right) \\
+ -\sqrt{\frac{1}{2}+\frac{1}{2 \sqrt{5}}} & 0 & \frac{1}{10} \left(5+2 \sqrt{5 \left(5+2 \sqrt{5}\right)}\right) \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(-1-\sqrt{5}\right) & \frac{1}{10} \left(5+2 \sqrt{5 \left(5+2 \sqrt{5}\right)}\right) \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(1+\sqrt{5}\right) & \frac{1}{10} \left(5+2 \sqrt{5 \left(5+2 \sqrt{5}\right)}\right) \\
+ \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & -\frac{1}{2} & \frac{1}{10} \left(5+2 \sqrt{5 \left(5+2 \sqrt{5}\right)}\right) \\
+ \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & \frac{1}{2} & \frac{1}{10} \left(5+2 \sqrt{5 \left(5+2 \sqrt{5}\right)}\right) \\
+\end{array}
+\right)$. Determine the GeneralizedDiameter.
+Answer:
+$\sqrt{6+2 \sqrt{5}+\sqrt{2+\frac{2}{\sqrt{5}}}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/9642.txt b/pretraining/mathematica/geometry/solids/9642.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e7068dfa82357c1d6a9a6cef19b842224932d06d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/9642.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.788 & 0.71 & 0.537 \\
+ 0.464 & 0.502 & 0.386 \\
+ 0.839 & 0.095 & 0.168 \\
+ 0.829 & 0.947 & 0.272 \\
+ 0.824 & 0.328 & 0.45 \\
+ 0.719 & 0.808 & 0.039 \\
+ 0.518 & 0.43 & 0.417 \\
+ 0.862 & 0.289 & 0.168 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.04$ 
+Solid Angle: $1.47$ 
+Surface Area: $0.75$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/96435.txt b/pretraining/mathematica/geometry/solids/96435.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5eaa964585f047d4337db662b125ef8a98591892
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/96435.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.673 & 0.231 & 0.903 \\
+ 0.064 & 0.975 & 0.203 \\
+ 0.047 & 0.869 & 0.631 \\
+ 0.02 & 0.658 & 0.852 \\
+ 0.59 & 0.86 & 0.686 \\
+ 0.916 & 0.633 & 0.524 \\
+ 0.914 & 0.284 & 0.471 \\
+ 0.783 & 0.442 & 0.885 \\
+ 0.888 & 0.823 & 0.124 \\
+ 0.012 & 0.317 & 0.116 \\
+ 0.052 & 0.117 & 0.978 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $2.82$ 
+Solid Angle: $2.62$ 
+Volume: $0.34$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/96519.txt b/pretraining/mathematica/geometry/solids/96519.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7b1b07f3bf31b5aea1325ab59b11fbd5dc4ecdee
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/96519.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.436 & 0.38 & 0.822 \\
+ 0.809 & 0.634 & 0.659 \\
+ 0.562 & 0.477 & 0.362 \\
+ 0.763 & 0.837 & 0.16 \\
+ 0.526 & 0.803 & 0.467 \\
+ 0.995 & 0.543 & 0.197 \\
+ 0.397 & 0.747 & 0.599 \\
+ 0.586 & 0.423 & 0.835 \\
+ 0.352 & 0.555 & 0.48 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Surface Area: $0.83$ 
+Solid Angle: $0.95$ 
+Volume: $0.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/97648.txt b/pretraining/mathematica/geometry/solids/97648.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fc477698c7596980bbd19fdd58dc4b21bdccbac3
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/97648.txt
@@ -0,0 +1,6 @@
+Problem:
+A cone with radius $8.853$ has its base centered at$\{7.519,1.982,3.9\}$ and its tip is at $\{2.869,5.714,8.96\}$. Estimate the cone's surface area, volume, and centroid.
+Answer:
+Volume: $641.88$ 
+Centroid: $\{6.36,2.91,5.16\}$ 
+Surface Area: $574.76$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/98764.txt b/pretraining/mathematica/geometry/solids/98764.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c2cdf1515830acea497504ee1ae7c4d30334cadf
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/98764.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.576 & 0.839 & 0.232 \\
+ 0.405 & 0.735 & 0.546 \\
+ 0.716 & 0.532 & 0.759 \\
+ 0.2 & 0.755 & 0.372 \\
+ 0.939 & 0.652 & 0.585 \\
+ 0.049 & 0.374 & 0.551 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.55$ 
+Volume: $0.02$ 
+Surface Area: $0.74$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/98773.txt b/pretraining/mathematica/geometry/solids/98773.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fb821fc7affef80fbf154a025b2f7d5a4a226103
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/98773.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.061 & 0.537 & 0.781 \\
+ 0.717 & 0.609 & 0.153 \\
+ 0.938 & 0.555 & 0.276 \\
+ 0.877 & 0.207 & 0.491 \\
+ 0.368 & 0.63 & 0.558 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.07$ 
+Volume: $0.01$ 
+Surface Area: $0.64$
\ No newline at end of file