diff --git a/pretraining/mathematica/geometry/solids/10465.txt b/pretraining/mathematica/geometry/solids/10465.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ea602e5fca15f04d1c90405a19b9eaf6e14bfc61
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/10465.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.85 & 0.197 & 0.264 \\
+ 0.351 & 0.854 & 0.89 \\
+ 0.383 & 0.001 & 0.188 \\
+ 0.845 & 0.393 & 0.026 \\
+ 0.624 & 0.512 & 0.988 \\
+ 0.514 & 0.207 & 0.89 \\
+ 0.009 & 0.053 & 0.612 \\
+ 0.064 & 0.19 & 0.405 \\
+ 0.273 & 0.318 & 0.166 \\
+ 0.958 & 0.682 & 0.53 \\
+ 0.346 & 0.467 & 0.122 \\
+\end{array}
+\right)$. 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: $3.07$ 
+Volume: $0.23$ 
+Surface Area: $2.18$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/11604.txt b/pretraining/mathematica/geometry/solids/11604.txt
new file mode 100644
index 0000000000000000000000000000000000000000..af65f3391c3e548cee65d1dff1429a004c04acdf
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/11604.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.604 & 0.936 & 0.754 \\
+ 0.648 & 0.726 & 0.371 \\
+ 0.631 & 0.386 & 0.853 \\
+ 0.104 & 0.937 & 0.15 \\
+\end{array}
+\right)$. 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: $0.72$ 
+Surface Area: $0.63$ 
+Volume: $0.02$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/11927.txt b/pretraining/mathematica/geometry/solids/11927.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6f2b469a7f79e1f8e54460deaa70e1d127c0cce4
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/11927.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.633 & 1. & 0.068 \\
+ 0.574 & 0.901 & 0.444 \\
+ 0.625 & 0.096 & 0.634 \\
+ 0.317 & 0.28 & 0.852 \\
+\end{array}
+\right)$. 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: $0.64$ 
+Volume: $0.01$ 
+Solid Angle: $0.09$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/13012.txt b/pretraining/mathematica/geometry/solids/13012.txt
new file mode 100644
index 0000000000000000000000000000000000000000..36d3570a3b207a51286384a75df45dab69191f59
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/13012.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.831 & 0.282 & 0.758 \\
+ 0.116 & 0.438 & 0.527 \\
+ 0.081 & 0.125 & 0.328 \\
+ 0.002 & 0.345 & 0.146 \\
+ 0.098 & 0.985 & 0.623 \\
+ 0.368 & 0.305 & 0.141 \\
+ 0.653 & 0.279 & 0.156 \\
+\end{array}
+\right)$. 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: $0.48$ 
+Volume: $0.09$ 
+Surface Area: $1.37$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/13020.txt b/pretraining/mathematica/geometry/solids/13020.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2c84d5347db5c85e0073b1bb56144a5410562044
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/13020.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.437 & 0.115 & 0.812 \\
+ 0.575 & 0.704 & 0.891 \\
+ 0.91 & 0.897 & 0.332 \\
+ 0.28 & 0.112 & 0.434 \\
+ 0.98 & 0.127 & 0.447 \\
+ 0.32 & 0.873 & 0.646 \\
+ 0.682 & 0.563 & 0.896 \\
+ 0.811 & 0.811 & 0.708 \\
+\end{array}
+\right)$. 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: $1.77$ 
+Volume: $0.14$ 
+Surface Area: $1.6$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/13347.txt b/pretraining/mathematica/geometry/solids/13347.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4df65fabc9f5c96e735eb9f97c4ee562f195cf0f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/13347.txt
@@ -0,0 +1,5 @@
+Problem:
+A sphere centered at $\{-8.988,-6.447,7.867\}$ has radius $0.514$. Estimate the sphere's surface area and volume.
+Answer:
+Surface Area: $3.32$ 
+Volume: $0.57$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/14503.txt b/pretraining/mathematica/geometry/solids/14503.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e3602ff7cd09b4386c5097055e58567a44570c15
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/14503.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.773 & 0.575 & 0.265 \\
+ 0.11 & 0.776 & 0.449 \\
+ 0.899 & 0.025 & 0.07 \\
+ 0.478 & 0.775 & 0.532 \\
+ 0.175 & 0.804 & 0.056 \\
+ 0.431 & 0.688 & 0.614 \\
+\end{array}
+\right)$. 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: $2.06$ 
+Surface Area: $0.94$ 
+Volume: $0.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/16981.txt b/pretraining/mathematica/geometry/solids/16981.txt
new file mode 100644
index 0000000000000000000000000000000000000000..90139c22722bb9db193ac34b44b029a2f182bc2e
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/16981.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.105 & 0.87 & 0.532 \\
+ 0.58 & 0.091 & 0.093 \\
+ 0.045 & 0.265 & 0.579 \\
+ 0.938 & 0.071 & 0.752 \\
+\end{array}
+\right)$. 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: $1.15$ 
+Solid Angle: $0.29$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/1781.txt b/pretraining/mathematica/geometry/solids/1781.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9a325a84b0cdc85dab3144d8b3e6be142752c214
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/1781.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.741 & 0.535 & 0.339 \\
+ 0.693 & 0.968 & 0.439 \\
+ 0.228 & 0.438 & 0.056 \\
+ 0.558 & 0.249 & 0.69 \\
+ 0.851 & 0.11 & 0.534 \\
+\end{array}
+\right)$. 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: $0.86$ 
+Solid Angle: $3.99$ 
+Volume: $0.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/18337.txt b/pretraining/mathematica/geometry/solids/18337.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e188a793ebbf651db7ff912df1f3bf87b54a5ae
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/18337.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.139 & 0.036 & 0.358 \\
+ 0.197 & 0.133 & 0.086 \\
+ 0.011 & 0.696 & 0.897 \\
+ 0.515 & 0.817 & 0.648 \\
+ 0.631 & 0.742 & 0.033 \\
+ 0.503 & 0.238 & 0.591 \\
+ 0.079 & 0.455 & 0.333 \\
+ 0.1 & 0.55 & 0.864 \\
+ 0.555 & 0.784 & 0.211 \\
+\end{array}
+\right)$. 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: $1.51$ 
+Solid Angle: $1.54$ 
+Volume: $0.12$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/20974.txt b/pretraining/mathematica/geometry/solids/20974.txt
new file mode 100644
index 0000000000000000000000000000000000000000..81a2063226122a2f4e752f8316443dd2e0c2eee1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/20974.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.546 & 0.488 & 0.204 \\
+ 0.594 & 0.269 & 0.699 \\
+ 0.7 & 0.665 & 0.041 \\
+ 0.499 & 0.691 & 0.823 \\
+ 0.944 & 0.846 & 0.57 \\
+\end{array}
+\right)$. 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: $0.75$ 
+Volume: $0.03$ 
+Solid Angle: $1.25$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/2108.txt b/pretraining/mathematica/geometry/solids/2108.txt
new file mode 100644
index 0000000000000000000000000000000000000000..775cba8a8fe2be31b046caf63277d0b0a5019b33
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/2108.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.859 & 0.26 & 0.956 \\
+ 0.989 & 0.446 & 0.814 \\
+ 0.995 & 0.968 & 0.265 \\
+ 0.396 & 0.976 & 0.951 \\
+ 0.262 & 0.328 & 0.915 \\
+ 0.125 & 0.41 & 0.521 \\
+ 0.851 & 0.301 & 0.484 \\
+ 0.174 & 0.252 & 0.462 \\
+ 0.048 & 0.91 & 0.203 \\
+ 0.411 & 0.18 & 0.7 \\
+\end{array}
+\right)$. 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: $1.76$ 
+Surface Area: $2.46$ 
+Volume: $0.27$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/22071.txt b/pretraining/mathematica/geometry/solids/22071.txt
new file mode 100644
index 0000000000000000000000000000000000000000..20d1b223e2a2ad37d8a0430982462690ec05e1da
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/22071.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.949 & 0.899 & 0.097 \\
+ 0.9 & 0.193 & 0.705 \\
+ 0.866 & 0.98 & 0.744 \\
+ 0.613 & 0.742 & 0.027 \\
+ 0.07 & 0.223 & 0.506 \\
+ 0.547 & 0.987 & 0.101 \\
+\end{array}
+\right)$. 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: $1.47$ 
+Surface Area: $1.75$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/23156.txt b/pretraining/mathematica/geometry/solids/23156.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a4c6bfc672e589d731688e436a2ec29c58fa71ac
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/23156.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.561 & 0.991 & 0.076 \\
+ 0.981 & 0.006 & 0.099 \\
+ 0.128 & 0.675 & 0.36 \\
+ 0.732 & 0.071 & 0.296 \\
+ 0.746 & 0.435 & 0.94 \\
+ 0.986 & 0.831 & 0.696 \\
+ 0.789 & 0.83 & 0.119 \\
+ 0.5 & 0.269 & 0.077 \\
+ 0.278 & 0.106 & 0.484 \\
+\end{array}
+\right)$. 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: $1.36$ 
+Volume: $0.24$ 
+Surface Area: $2.27$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/23369.txt b/pretraining/mathematica/geometry/solids/23369.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0c21d802abc23e0f3f0126ee0ae8ff8fdfc23611
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/23369.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.148 & 0.525 & 0.826 \\
+ 0.895 & 0.82 & 0.823 \\
+ 0.84 & 0.062 & 0.831 \\
+ 0.729 & 0.84 & 0.477 \\
+ 0.916 & 0.034 & 0.28 \\
+ 0.64 & 0.666 & 0.031 \\
+ 0.439 & 0.04 & 0.747 \\
+ 0.906 & 0.32 & 0.004 \\
+\end{array}
+\right)$. 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:
+Surface Area: $2.02$ 
+Volume: $0.18$ 
+Solid Angle: $0.95$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/24561.txt b/pretraining/mathematica/geometry/solids/24561.txt
new file mode 100644
index 0000000000000000000000000000000000000000..adb9f0daa067a75f61d90dcc2408e3220d28b587
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/24561.txt
@@ -0,0 +1,57 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -2 \sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ -2 \sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ -2 \sqrt{\frac{2}{3}} & 0 & 0 \\
+ -2 \sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ -2 \sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & -2 \sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & -2 \sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & -\frac{2}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & 0 \\
+ -\sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & \frac{2}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & 0 & -\sqrt{3} \\
+ -\sqrt{\frac{2}{3}} & 0 & -\frac{1}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & 0 & \frac{1}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & 0 & \sqrt{3} \\
+ -\sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & -\frac{2}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & 0 \\
+ -\sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & \frac{2}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & 2 \sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ -\sqrt{\frac{2}{3}} & 2 \sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ 0 & -2 \sqrt{\frac{2}{3}} & 0 \\
+ 0 & -\sqrt{\frac{2}{3}} & -\sqrt{3} \\
+ 0 & -\sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ 0 & -\sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ 0 & -\sqrt{\frac{2}{3}} & \sqrt{3} \\
+ 0 & 0 & -\frac{2}{\sqrt{3}} \\
+ 0 & 0 & \frac{2}{\sqrt{3}} \\
+ 0 & \sqrt{\frac{2}{3}} & -\sqrt{3} \\
+ 0 & \sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ 0 & \sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ 0 & \sqrt{\frac{2}{3}} & \sqrt{3} \\
+ 0 & 2 \sqrt{\frac{2}{3}} & 0 \\
+ \sqrt{\frac{2}{3}} & -2 \sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & -2 \sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & -\frac{2}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & 0 \\
+ \sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & \frac{2}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & 0 & -\sqrt{3} \\
+ \sqrt{\frac{2}{3}} & 0 & -\frac{1}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & 0 & \frac{1}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & 0 & \sqrt{3} \\
+ \sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & -\frac{2}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & 0 \\
+ \sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & \frac{2}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & 2 \sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ \sqrt{\frac{2}{3}} & 2 \sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ 2 \sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ 2 \sqrt{\frac{2}{3}} & -\sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+ 2 \sqrt{\frac{2}{3}} & 0 & 0 \\
+ 2 \sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & -\frac{1}{\sqrt{3}} \\
+ 2 \sqrt{\frac{2}{3}} & \sqrt{\frac{2}{3}} & \frac{1}{\sqrt{3}} \\
+\end{array}
+\right)$. Determine the Inradius.
+Answer:
+$\sqrt{\frac{2}{3}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/25090.txt b/pretraining/mathematica/geometry/solids/25090.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ec83da7745e17268ff53d0d6580c2848b11ee5f4
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/25090.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.493 & 0.205 & 0.792 \\
+ 0.452 & 0.941 & 0.988 \\
+ 0.574 & 0.623 & 0.304 \\
+ 0.838 & 0.302 & 0.015 \\
+ 0.577 & 0.258 & 0.848 \\
+ 0.929 & 0.187 & 0.23 \\
+ 0.199 & 0.55 & 0.557 \\
+ 0.42 & 0.218 & 0.851 \\
+ 0.979 & 0.421 & 0.18 \\
+ 0.006 & 0.922 & 0.897 \\
+\end{array}
+\right)$. 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: $0.13$ 
+Surface Area: $1.69$ 
+Solid Angle: $4.23$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/25311.txt b/pretraining/mathematica/geometry/solids/25311.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3d6f32c56d0a0dd04d83e2b7e2fbc23b904efb96
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/25311.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.337 & 0.826 & 0.432 \\
+ 0.246 & 0.45 & 0.693 \\
+ 0.418 & 0.132 & 0.944 \\
+ 0.094 & 0.254 & 0.229 \\
+ 0.297 & 0.626 & 0.404 \\
+ 0.252 & 0.239 & 0.839 \\
+ 0.096 & 0.233 & 0.451 \\
+\end{array}
+\right)$. 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: $0.02$ 
+Surface Area: $0.6$ 
+Solid Angle: $0.21$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/25458.txt b/pretraining/mathematica/geometry/solids/25458.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4d165904674d9287a42e4e8ed4ac8651a7047ed4
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/25458.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.566 & 0.773 & 0.776 \\
+ 0.701 & 0.109 & 0.075 \\
+ 0.095 & 0.587 & 0.052 \\
+ 0.285 & 0.214 & 0.027 \\
+ 0.336 & 0.13 & 0.38 \\
+ 0.825 & 0.37 & 0.545 \\
+ 0.627 & 0.35 & 0.076 \\
+\end{array}
+\right)$. 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:
+Solid Angle: $0.41$ 
+Volume: $0.08$ 
+Surface Area: $1.21$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/2833.txt b/pretraining/mathematica/geometry/solids/2833.txt
new file mode 100644
index 0000000000000000000000000000000000000000..14fd338ebf5b473b23bf6addc92ef278c838c125
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/2833.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.095 & 0.814 & 0.733 \\
+ 0.43 & 0.743 & 0.44 \\
+ 0.342 & 0.659 & 0.394 \\
+ 0.902 & 0.417 & 0.129 \\
+ 0.947 & 0.015 & 0.881 \\
+\end{array}
+\right)$. 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: $1.07$ 
+Solid Angle: $0.15$ 
+Volume: $0.02$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/28847.txt b/pretraining/mathematica/geometry/solids/28847.txt
new file mode 100644
index 0000000000000000000000000000000000000000..22cabcab3ae404bcba37c2408b08f2fcb54dd86c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/28847.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.082 & 0.459 & 0.762 \\
+ 0.366 & 0.875 & 0.206 \\
+ 0.925 & 0.831 & 0.533 \\
+ 0.068 & 0.149 & 0.287 \\
+ 0.886 & 0.836 & 0.135 \\
+ 0.267 & 0.071 & 0.802 \\
+ 0.525 & 0.991 & 0.993 \\
+\end{array}
+\right)$. 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: $2.02$ 
+Volume: $0.18$ 
+Solid Angle: $2.8$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/29034.txt b/pretraining/mathematica/geometry/solids/29034.txt
new file mode 100644
index 0000000000000000000000000000000000000000..72d51f898177d12d844605821b9eea788102808d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/29034.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.286 & 0.933 & 0.205 \\
+ 0.096 & 0.612 & 0.221 \\
+ 0.127 & 0.774 & 0.577 \\
+ 0.595 & 0.649 & 0.551 \\
+ 0.759 & 0.47 & 0.125 \\
+ 0.153 & 0.149 & 0.858 \\
+\end{array}
+\right)$. 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: $1.16$ 
+Volume: $0.08$ 
+Solid Angle: $1.26$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/30724.txt b/pretraining/mathematica/geometry/solids/30724.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b3a693b9c1d0747b90e8aed64aedd6280699a7ee
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/30724.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.381 & 0.606 & 0.707 \\
+ 0.548 & 0.245 & 0.24 \\
+ 0.889 & 0.334 & 0.095 \\
+ 0.642 & 0.135 & 0.256 \\
+ 0.555 & 0.061 & 0.987 \\
+ 0.823 & 0.11 & 0.385 \\
+ 0.485 & 0.265 & 0.802 \\
+ 0.434 & 0.419 & 0.876 \\
+\end{array}
+\right)$. 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: $0.47$ 
+Volume: $0.03$ 
+Surface Area: $0.86$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/32155.txt b/pretraining/mathematica/geometry/solids/32155.txt
new file mode 100644
index 0000000000000000000000000000000000000000..506ed2f0d06e57be4f2f5ad8981af726afda493b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/32155.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.503 & 0.454 & 0.643 \\
+ 0.019 & 0.916 & 0.221 \\
+ 0.568 & 0.903 & 0.773 \\
+ 0.35 & 0.632 & 0.044 \\
+ 0.236 & 0.901 & 0.236 \\
+ 0.499 & 0.472 & 0.961 \\
+ 0.013 & 0.101 & 0.129 \\
+\end{array}
+\right)$. 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: $0.09$ 
+Surface Area: $1.42$ 
+Solid Angle: $4.06$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/32338.txt b/pretraining/mathematica/geometry/solids/32338.txt
new file mode 100644
index 0000000000000000000000000000000000000000..96863767dc14a36826d2613607563cb2b51b4d1d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/32338.txt
@@ -0,0 +1,5 @@
+Problem:
+An ellipsoid centered at $\{5.599,-9.511,-2.676\}$ has radii $\{1.59,1.412,3.194\}$. Estimate the ellipsoid's surface area and volume.
+Answer:
+Surface Area: $51.11$ 
+Volume: $30.06$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/33738.txt b/pretraining/mathematica/geometry/solids/33738.txt
new file mode 100644
index 0000000000000000000000000000000000000000..29755f2cd82eb080c64de449519d4eb9718ebc7f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/33738.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.828 & 0.516 & 0.843 \\
+ 0.972 & 0.618 & 0.545 \\
+ 0.926 & 0.217 & 0.483 \\
+ 0.376 & 0.749 & 0.542 \\
+ 0.615 & 0.191 & 0.275 \\
+ 0.364 & 0.555 & 0. \\
+\end{array}
+\right)$. 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: $0.99$ 
+Solid Angle: $1.01$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/36545.txt b/pretraining/mathematica/geometry/solids/36545.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0d461ec3617b6080fb01354098e15bc09aa2aead
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/36545.txt
@@ -0,0 +1,49 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -1 & 0 & 0 \\
+ -\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & 0 \\
+ -\frac{1}{\sqrt{2}} & -\frac{1}{2} & 0 \\
+ -\frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}} \\
+ -\frac{1}{\sqrt{2}} & 0 & -\frac{1}{2} \\
+ -\frac{1}{\sqrt{2}} & 0 & \frac{1}{2} \\
+ -\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\
+ -\frac{1}{\sqrt{2}} & \frac{1}{2} & 0 \\
+ -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\
+ -\frac{1}{2} & -\frac{1}{\sqrt{2}} & 0 \\
+ -\frac{1}{2} & 0 & -\frac{1}{\sqrt{2}} \\
+ -\frac{1}{2} & 0 & \frac{1}{\sqrt{2}} \\
+ -\frac{1}{2} & \frac{1}{\sqrt{2}} & 0 \\
+ 0 & -1 & 0 \\
+ 0 & -\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} \\
+ 0 & -\frac{1}{\sqrt{2}} & -\frac{1}{2} \\
+ 0 & -\frac{1}{\sqrt{2}} & \frac{1}{2} \\
+ 0 & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\
+ 0 & -\frac{1}{2} & -\frac{1}{\sqrt{2}} \\
+ 0 & -\frac{1}{2} & \frac{1}{\sqrt{2}} \\
+ 0 & 0 & -1 \\
+ 0 & 0 & 1 \\
+ 0 & \frac{1}{2} & -\frac{1}{\sqrt{2}} \\
+ 0 & \frac{1}{2} & \frac{1}{\sqrt{2}} \\
+ 0 & \frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} \\
+ 0 & \frac{1}{\sqrt{2}} & -\frac{1}{2} \\
+ 0 & \frac{1}{\sqrt{2}} & \frac{1}{2} \\
+ 0 & \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\
+ 0 & 1 & 0 \\
+ \frac{1}{2} & -\frac{1}{\sqrt{2}} & 0 \\
+ \frac{1}{2} & 0 & -\frac{1}{\sqrt{2}} \\
+ \frac{1}{2} & 0 & \frac{1}{\sqrt{2}} \\
+ \frac{1}{2} & \frac{1}{\sqrt{2}} & 0 \\
+ \frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & 0 \\
+ \frac{1}{\sqrt{2}} & -\frac{1}{2} & 0 \\
+ \frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}} \\
+ \frac{1}{\sqrt{2}} & 0 & -\frac{1}{2} \\
+ \frac{1}{\sqrt{2}} & 0 & \frac{1}{2} \\
+ \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\
+ \frac{1}{\sqrt{2}} & \frac{1}{2} & 0 \\
+ \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\
+ 1 & 0 & 0 \\
+\end{array}
+\right)$. Determine the SurfaceArea.
+Answer:
+$6 \left(3+2 \sqrt{3}\right)$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/37576.txt b/pretraining/mathematica/geometry/solids/37576.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7059a3a15310948e44649fa96356cee8c4553d98
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/37576.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.233 & 0.554 & 0.886 \\
+ 0.787 & 0.6 & 0.918 \\
+ 0.165 & 0.306 & 0.135 \\
+ 0.869 & 0.676 & 0.036 \\
+ 0.694 & 0.399 & 0.381 \\
+ 0.594 & 0.241 & 0.051 \\
+\end{array}
+\right)$. 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: $0.36$ 
+Volume: $0.06$ 
+Surface Area: $1.32$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/38504.txt b/pretraining/mathematica/geometry/solids/38504.txt
new file mode 100644
index 0000000000000000000000000000000000000000..96a5ba3357e235212ee8ebc4f4a627fdcb101f97
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/38504.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 1. & 0.805 & 0.209 \\
+ 0.5 & 0.778 & 0.165 \\
+ 0.485 & 0.26 & 0.078 \\
+ 0.94 & 0.918 & 0.332 \\
+ 0.583 & 0.018 & 0.416 \\
+ 0.464 & 0.374 & 0.148 \\
+ 0.344 & 0.1 & 0.765 \\
+ 0.892 & 0.172 & 0.02 \\
+\end{array}
+\right)$. 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: $1.33$ 
+Surface Area: $1.36$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/41440.txt b/pretraining/mathematica/geometry/solids/41440.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4e663673d16fbdbbce6a01cf028f7f5d43266590
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/41440.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.715 & 0.032 & 0.573 \\
+ 0.435 & 0.03 & 0.707 \\
+ 0.387 & 0.919 & 0.994 \\
+ 0.565 & 0.57 & 0.047 \\
+ 0.575 & 0.904 & 0.712 \\
+ 0.982 & 0.786 & 0.15 \\
+ 0.115 & 0.275 & 0.868 \\
+ 0.631 & 0.257 & 0.005 \\
+ 0.791 & 0.3 & 0.046 \\
+ 0.73 & 0.608 & 0.731 \\
+\end{array}
+\right)$. 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: $1.97$ 
+Volume: $0.18$ 
+Surface Area: $2.06$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/43244.txt b/pretraining/mathematica/geometry/solids/43244.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c8a8fd0b4f7cb9d5d01da9a848d791e912659cd0
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/43244.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.706 & 0.451 & 0.207 \\
+ 0.962 & 0.939 & 0.281 \\
+ 0.751 & 0.843 & 0.9 \\
+ 0.189 & 0.816 & 0.57 \\
+ 0.817 & 0.774 & 0.788 \\
+\end{array}
+\right)$. 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: $0.54$ 
+Surface Area: $0.84$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/43973.txt b/pretraining/mathematica/geometry/solids/43973.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b2c898c869f1b7121777d558bb53165aeb02c551
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/43973.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.144 & 0.183 & 0.413 \\
+ 0.022 & 0.528 & 0.582 \\
+ 0.445 & 0.8 & 0.701 \\
+ 0.651 & 0.052 & 0.752 \\
+ 0.361 & 0.441 & 0.065 \\
+ 0.091 & 0.156 & 0.596 \\
+ 0.113 & 0.4 & 0.329 \\
+ 0.227 & 0.793 & 0.361 \\
+ 0.611 & 0.628 & 0.879 \\
+ 0.953 & 0.237 & 0.299 \\
+ 0.987 & 0.128 & 0.744 \\
+\end{array}
+\right)$. 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: $0.17$ 
+Solid Angle: $3.37$ 
+Surface Area: $1.86$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/46273.txt b/pretraining/mathematica/geometry/solids/46273.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b587e4c0a1fd48edadcb92ff0be711ee346d9a72
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/46273.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.581 & 0.699 & 0.813 \\
+ 0.906 & 0.269 & 0.634 \\
+ 0.265 & 0.435 & 0.351 \\
+ 0.973 & 0.646 & 0.246 \\
+ 0.795 & 0.065 & 0.953 \\
+ 0.73 & 0.689 & 0.897 \\
+ 0.004 & 0.587 & 0.478 \\
+ 0.968 & 0.728 & 0.082 \\
+ 0.758 & 0.924 & 0.264 \\
+ 0.024 & 0.04 & 0.522 \\
+\end{array}
+\right)$. 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: $3.74$ 
+Surface Area: $2.11$ 
+Volume: $0.18$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/4836.txt b/pretraining/mathematica/geometry/solids/4836.txt
new file mode 100644
index 0000000000000000000000000000000000000000..66a4142adc6c93add9389e58de883f1eabba85d2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/4836.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.93 & 0.795 & 0.657 \\
+ 0.83 & 0.989 & 0.939 \\
+ 0.125 & 0.658 & 0.587 \\
+ 0.537 & 0.806 & 0.339 \\
+ 0.079 & 0.19 & 0.051 \\
+ 0.059 & 0.855 & 0.92 \\
+ 0.997 & 0.926 & 0.252 \\
+ 0.278 & 0.017 & 0.167 \\
+ 0.067 & 0.154 & 0.208 \\
+ 0.218 & 0.028 & 0.679 \\
+\end{array}
+\right)$. 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: $0.24$ 
+Solid Angle: $3.76$ 
+Surface Area: $2.5$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/50128.txt b/pretraining/mathematica/geometry/solids/50128.txt
new file mode 100644
index 0000000000000000000000000000000000000000..17e68405890440912cbd2ef276e24676690012b1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/50128.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.027 & 0.019 & 0.144 \\
+ 0.512 & 0.342 & 0.341 \\
+ 0.106 & 0.995 & 0.882 \\
+ 0.06 & 0.073 & 0.848 \\
+\end{array}
+\right)$. 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: $0.41$ 
+Volume: $0.05$ 
+Surface Area: $1.12$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/50351.txt b/pretraining/mathematica/geometry/solids/50351.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5efcb52f5f9d06dbdc87e1c258702bc1242f5c5f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/50351.txt
@@ -0,0 +1,67 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0. & -0.851 & 2.065 \\
+ 1.618 & 0. & -1.539 \\
+ -0.809 & -0.263 & 2.065 \\
+ 1.309 & 0.951 & -1.539 \\
+ 0.809 & -1.964 & 0.688 \\
+ 1.309 & -1.802 & -0.162 \\
+ -0.5 & 2.065 & 0.688 \\
+ 0. & 2.227 & -0.162 \\
+ -0.5 & -1.539 & 1.539 \\
+ 1.309 & -0.951 & -1.539 \\
+ -1.309 & 0.951 & 1.539 \\
+ 0.5 & 1.539 & -1.539 \\
+ -1.309 & -0.951 & 1.539 \\
+ 0.5 & -0.688 & -2.065 \\
+ -1.618 & 0. & 1.539 \\
+ 0.809 & 0.263 & -2.065 \\
+ 0. & -2.227 & 0.162 \\
+ 0.5 & -2.065 & -0.688 \\
+ -1.309 & 1.802 & 0.162 \\
+ -0.809 & 1.964 & -0.688 \\
+ 0.5 & 0.688 & 2.065 \\
+ 2.118 & 0.688 & -0.162 \\
+ 0.5 & -1.539 & 1.539 \\
+ 1.809 & -1.114 & -0.688 \\
+ -0.5 & 1.539 & 1.539 \\
+ 0.809 & 1.964 & -0.688 \\
+ 1.309 & -0.951 & 1.539 \\
+ 2.118 & -0.688 & 0.162 \\
+ 0.5 & 1.539 & 1.539 \\
+ 1.309 & 1.802 & 0.162 \\
+ 1.618 & 0. & 1.539 \\
+ 2.118 & 0.162 & 0.688 \\
+ 1.309 & 0.951 & 1.539 \\
+ 1.809 & 1.114 & 0.688 \\
+ 1.618 & -1.376 & 0.688 \\
+ 0.809 & -0.263 & 2.065 \\
+ 2.118 & -0.162 & -0.688 \\
+ -0.5 & 0.688 & 2.065 \\
+ 1.618 & 1.376 & -0.688 \\
+ 0.5 & 2.065 & 0.688 \\
+ -0.809 & -1.964 & 0.688 \\
+ 0.5 & -1.539 & -1.539 \\
+ -1.809 & 1.114 & 0.688 \\
+ -0.5 & 1.539 & -1.539 \\
+ -1.309 & -1.802 & -0.162 \\
+ -0.5 & -1.539 & -1.539 \\
+ -2.118 & 0.688 & -0.162 \\
+ -1.309 & 0.951 & -1.539 \\
+ -1.809 & -1.114 & -0.688 \\
+ -1.309 & -0.951 & -1.539 \\
+ -2.118 & -0.162 & -0.688 \\
+ -1.618 & 0. & -1.539 \\
+ -0.5 & -2.065 & -0.688 \\
+ -1.618 & -1.376 & 0.688 \\
+ -0.5 & -0.688 & -2.065 \\
+ -2.118 & 0.162 & 0.688 \\
+ 0. & 0.851 & -2.065 \\
+ -1.618 & 1.376 & -0.688 \\
+ -2.118 & -0.688 & 0.162 \\
+ -0.809 & 0.263 & -2.065 \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$120.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/50356.txt b/pretraining/mathematica/geometry/solids/50356.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4d65735492a6162adea5bddec65d67b98d78c8d2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/50356.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.966 & 0.775 & 0.301 \\
+ 0.693 & 0.007 & 0.521 \\
+ 0.287 & 0.797 & 0.205 \\
+ 0.147 & 0.189 & 0.04 \\
+ 0.776 & 0.486 & 0.65 \\
+ 0.914 & 0.189 & 0.867 \\
+ 0.589 & 0.706 & 0.448 \\
+\end{array}
+\right)$. 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: $0.85$ 
+Surface Area: $1.47$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/51903.txt b/pretraining/mathematica/geometry/solids/51903.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7c32f5abb508791ed608962b7013bc588a34c07b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/51903.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.69 & 0.047 & 0.484 \\
+ 0.508 & 0.495 & 0.11 \\
+ 0.669 & 0.799 & 0.804 \\
+ 0.004 & 0.584 & 0.475 \\
+ 0.64 & 0.47 & 0.897 \\
+ 0.716 & 0.402 & 0.189 \\
+ 0.682 & 0.77 & 0.587 \\
+ 0.384 & 0.392 & 0.316 \\
+ 0.969 & 0.586 & 0.845 \\
+\end{array}
+\right)$. 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: $1.23$ 
+Surface Area: $1.38$ 
+Volume: $0.11$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/52289.txt b/pretraining/mathematica/geometry/solids/52289.txt
new file mode 100644
index 0000000000000000000000000000000000000000..421ae1ee2d12d29784c5876f93f6865c1fbbb97d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/52289.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.739 & 0.267 & 0.238 \\
+ 0.562 & 0.041 & 0.831 \\
+ 0.177 & 0.22 & 0.597 \\
+ 0.23 & 0.853 & 0.636 \\
+ 0.202 & 0.528 & 0.748 \\
+ 0.569 & 0.087 & 0.571 \\
+ 0.086 & 0.503 & 0.286 \\
+ 0.869 & 0.875 & 0.615 \\
+ 0.685 & 0.167 & 0.854 \\
+\end{array}
+\right)$. 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: $1.59$ 
+Volume: $0.13$ 
+Solid Angle: $1.4$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/52741.txt b/pretraining/mathematica/geometry/solids/52741.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6fe69d59537f5ceab3b2d0b34549822b708ac77b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/52741.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.972 & 0.636 & 0.443 \\
+ 0.045 & 0.986 & 0.102 \\
+ 0.909 & 0.49 & 0.393 \\
+ 0.373 & 0.542 & 0.057 \\
+ 0.186 & 0.989 & 0.237 \\
+ 0.35 & 0.148 & 0.581 \\
+ 0.918 & 0.208 & 0.77 \\
+ 0.287 & 0.065 & 0.144 \\
+ 0.002 & 0.168 & 0.66 \\
+ 0.309 & 0.404 & 0.649 \\
+ 0.608 & 0.499 & 0.664 \\
+\end{array}
+\right)$. 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: $0.2$ 
+Surface Area: $2.07$ 
+Solid Angle: $1.42$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54338.txt b/pretraining/mathematica/geometry/solids/54338.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b06823e152b50c2222485286175d778d857b5275
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54338.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.021 & 0.584 & 0.452 \\
+ 0.742 & 0.946 & 0.312 \\
+ 0.676 & 0.031 & 0.652 \\
+ 0.805 & 0.401 & 0.089 \\
+\end{array}
+\right)$. 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: $0.3$ 
+Volume: $0.04$ 
+Surface Area: $1.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54538.txt b/pretraining/mathematica/geometry/solids/54538.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a77660a4984c6ccfe136a618e0da16290a53244c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54538.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.739 & 0.857 & 0.527 \\
+ 0.275 & 0.036 & 0.732 \\
+ 0.927 & 0.885 & 0.223 \\
+ 0.989 & 0.883 & 0.579 \\
+ 0.716 & 0.597 & 0.107 \\
+ 0.859 & 0.766 & 0.002 \\
+\end{array}
+\right)$. 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: $2.63$ 
+Volume: $0.02$ 
+Surface Area: $0.87$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/55790.txt b/pretraining/mathematica/geometry/solids/55790.txt
new file mode 100644
index 0000000000000000000000000000000000000000..74b763f01b8f90eb5da6b38bf40310511cc2afe6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/55790.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.115 & 0.792 & 0.71 \\
+ 0.2 & 0.483 & 0.473 \\
+ 0.91 & 0.826 & 0.356 \\
+ 0.611 & 0.15 & 0.286 \\
+ 0.122 & 0.674 & 0.574 \\
+ 0.568 & 0.173 & 0.641 \\
+ 0.038 & 0.621 & 0.775 \\
+ 0.246 & 0.264 & 0.823 \\
+ 0.696 & 0.26 & 0.09 \\
+\end{array}
+\right)$. 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: $1.35$ 
+Solid Angle: $1.23$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/56128.txt b/pretraining/mathematica/geometry/solids/56128.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1b805cb38f95ad343583ec8334e94b891494c059
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/56128.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.552 & 0.096 & 0.537 \\
+ 0.943 & 0.991 & 0.426 \\
+ 0.653 & 0.857 & 0.272 \\
+ 0.531 & 0.126 & 0.857 \\
+ 0.565 & 0.92 & 0.307 \\
+ 0.525 & 0.074 & 0.176 \\
+ 0.426 & 0.832 & 0.175 \\
+ 0.688 & 0.167 & 0.423 \\
+ 0.611 & 0.196 & 0.088 \\
+\end{array}
+\right)$. 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: $0.08$ 
+Surface Area: $1.26$ 
+Solid Angle: $4.64$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/5977.txt b/pretraining/mathematica/geometry/solids/5977.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dfc894e889255753bada3eb34f254c1668b9c212
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/5977.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.56 & 0.939 & 0.256 \\
+ 0.754 & 0.161 & 0.714 \\
+ 0.353 & 0.311 & 0.922 \\
+ 0.795 & 0.671 & 0.509 \\
+ 0.028 & 0.731 & 0.138 \\
+ 0.838 & 0.274 & 0.13 \\
+\end{array}
+\right)$. 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: $1.51$ 
+Volume: $0.1$ 
+Solid Angle: $1.32$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/63724.txt b/pretraining/mathematica/geometry/solids/63724.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cc0c8700119913f156b68bc5e31f927592a88702
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/63724.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.906 & 0.025 & 0.844 \\
+ 0.676 & 0.435 & 0.823 \\
+ 0.246 & 0.784 & 0.572 \\
+ 0.878 & 0.801 & 0.857 \\
+ 0.024 & 0.17 & 0.472 \\
+ 0.55 & 0.83 & 0.461 \\
+ 0.007 & 0.721 & 0.422 \\
+ 0.685 & 0.928 & 0.63 \\
+\end{array}
+\right)$. 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: $0.28$ 
+Volume: $0.07$ 
+Surface Area: $1.55$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/65918.txt b/pretraining/mathematica/geometry/solids/65918.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d695e35a311a698ea78f5469e6c3c90dea304399
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/65918.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.492 & 0.272 & 0.662 \\
+ 0.647 & 0.219 & 0.933 \\
+ 0.133 & 0.454 & 0.02 \\
+ 0.83 & 0.057 & 0.548 \\
+ 0.815 & 0.372 & 0.388 \\
+\end{array}
+\right)$. 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: $3.88$ 
+Surface Area: $0.66$ 
+Volume: $0.02$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/69281.txt b/pretraining/mathematica/geometry/solids/69281.txt
new file mode 100644
index 0000000000000000000000000000000000000000..137ff63486474dcabcb0b6c434a3f474cc334f47
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/69281.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.198 & 0.494 & 0.866 \\
+ 0.242 & 0.236 & 0.984 \\
+ 0.516 & 0.486 & 0.558 \\
+ 0.653 & 0.896 & 0.285 \\
+\end{array}
+\right)$. 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: $0.32$ 
+Solid Angle: $0.17$ 
+Volume: $0.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/70232.txt b/pretraining/mathematica/geometry/solids/70232.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e337cacf0f40478c68b6a5777884265053935371
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/70232.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.36 & 0.892 & 0.421 \\
+ 0.458 & 0.691 & 0.205 \\
+ 0.211 & 0.218 & 0.635 \\
+ 0.56 & 0.129 & 0.311 \\
+ 0.989 & 0.506 & 0.996 \\
+ 0.295 & 0.654 & 0.856 \\
+ 0.192 & 0.159 & 0.396 \\
+\end{array}
+\right)$. 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: $1.36$ 
+Surface Area: $1.43$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/70395.txt b/pretraining/mathematica/geometry/solids/70395.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a1db15fcf8e03b17bb34b4dd1719fd311a79f242
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/70395.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.15 & 0.718 & 0.594 \\
+ 0.632 & 0.605 & 0.682 \\
+ 0.907 & 0.44 & 0.891 \\
+ 0.766 & 0.103 & 0.371 \\
+ 0.279 & 0.091 & 0.004 \\
+ 0.159 & 0.047 & 0.238 \\
+ 0.061 & 0.406 & 0.204 \\
+ 0.057 & 0.739 & 0.216 \\
+ 0.262 & 0.558 & 0.798 \\
+ 0.389 & 0.152 & 0.797 \\
+\end{array}
+\right)$. 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: $2.04$ 
+Surface Area: $1.77$ 
+Volume: $0.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/71587.txt b/pretraining/mathematica/geometry/solids/71587.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e9903438d32e53e4fcdba2358ef8929ca6c3d80
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/71587.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.138 & 0.719 & 0.964 \\
+ 0.704 & 0.57 & 0.993 \\
+ 0.401 & 0.235 & 0.583 \\
+ 0.2 & 0.469 & 0.128 \\
+ 0.6 & 0.543 & 0.239 \\
+\end{array}
+\right)$. 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: $1.$ 
+Solid Angle: $0.48$ 
+Volume: $0.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/71914.txt b/pretraining/mathematica/geometry/solids/71914.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ec158f21ff739a6b4be5f8fb6f0cb1a89de4e7da
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/71914.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.434 & 0.734 & 0.701 \\
+ 0.101 & 0.626 & 0.978 \\
+ 0.064 & 0.697 & 0.699 \\
+ 0.653 & 0.93 & 0.125 \\
+ 0.965 & 0.456 & 0.896 \\
+ 0.013 & 0.004 & 0.153 \\
+ 0.802 & 0.056 & 0.277 \\
+\end{array}
+\right)$. 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: $2.4$ 
+Solid Angle: $5.28$ 
+Volume: $0.23$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/72433.txt b/pretraining/mathematica/geometry/solids/72433.txt
new file mode 100644
index 0000000000000000000000000000000000000000..03192858bb078d57cb39282ac0e735744991a5c0
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/72433.txt
@@ -0,0 +1,62 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -\frac{1}{2} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} & \sqrt{\frac{9}{4}+\frac{9}{2 \sqrt{5}}} \\
+ \frac{1}{2} \left(1+\sqrt{5}\right) & 0 & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(-1-\sqrt{5}\right) & \frac{1}{4} \sqrt{2-\frac{2}{\sqrt{5}}} & \sqrt{\frac{9}{4}+\frac{9}{2 \sqrt{5}}} \\
+ \frac{1}{4} \left(3+\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(1+\sqrt{5}\right) & -\frac{1}{4} \sqrt{34+\frac{62}{\sqrt{5}}} & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} \\
+ \frac{1}{4} \left(3+\sqrt{5}\right) & -\frac{1}{4} \sqrt{26+\frac{58}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ -\frac{1}{2} & \sqrt{\frac{9}{4}+\frac{9}{2 \sqrt{5}}} & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} \\
+ 0 & \sqrt{\frac{5}{2}+\frac{11}{2 \sqrt{5}}} & -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ -\frac{1}{2} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(3+\sqrt{5}\right) & -\frac{1}{2} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(-3-\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{2} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ -\frac{1}{2}-\frac{2}{\sqrt{5}} & -\frac{1}{10} \sqrt{25-2 \sqrt{5}} & \frac{1}{10} \sqrt{145+62 \sqrt{5}} \\
+ -1-\frac{2}{\sqrt{5}} & \frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} & \frac{1}{10} \sqrt{85+22 \sqrt{5}} \\
+ 0 & -\sqrt{\frac{5}{2}+\frac{11}{2 \sqrt{5}}} & \frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ \frac{1}{2} & -\frac{3}{2} \sqrt{1+\frac{2}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ \frac{1}{4} \left(-3-\sqrt{5}\right) & \sqrt{\frac{13}{8}+\frac{29}{8 \sqrt{5}}} & \frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ \frac{1}{4} \left(-1-\sqrt{5}\right) & \sqrt{\frac{17}{8}+\frac{31}{8 \sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ \frac{1}{4} \left(1+\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \sqrt{\frac{9}{4}+\frac{9}{2 \sqrt{5}}} \\
+ \frac{1}{2} \left(2+\sqrt{5}\right) & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ \frac{1}{2} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(5+\sqrt{5}\right) & -\sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ -\frac{1}{2} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(1+\sqrt{5}\right) & \sqrt{\frac{17}{8}+\frac{31}{8 \sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ \frac{1}{2}+\frac{2}{\sqrt{5}} & -\frac{1}{10} \sqrt{85+38 \sqrt{5}} & \frac{1}{10} \sqrt{85+22 \sqrt{5}} \\
+ \frac{3}{4}+\frac{13}{4 \sqrt{5}} & -\frac{1}{10} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & \frac{1}{10} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{2} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(3+\sqrt{5}\right) & \sqrt{\frac{13}{8}+\frac{29}{8 \sqrt{5}}} & \frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ \frac{1}{2}+\frac{2}{\sqrt{5}} & -\frac{1}{10} \sqrt{25-2 \sqrt{5}} & \frac{1}{10} \sqrt{145+62 \sqrt{5}} \\
+ 1+\frac{2}{\sqrt{5}} & \frac{1}{10} \sqrt{10-2 \sqrt{5}} & \frac{1}{10} \sqrt{85+22 \sqrt{5}} \\
+ \frac{1}{4} \left(3+\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(5+\sqrt{5}\right) & \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} \\
+ 1+\frac{2}{\sqrt{5}} & -\frac{3}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & \frac{1}{10} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{2} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} & \sqrt{\frac{9}{4}+\frac{9}{2 \sqrt{5}}} \\
+ \frac{1}{2} \left(2+\sqrt{5}\right) & -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ 0 & \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \sqrt{\frac{9}{4}+\frac{9}{2 \sqrt{5}}} \\
+ \frac{1}{2} \left(1+\sqrt{5}\right) & \sqrt{1+\frac{2}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ \frac{1}{2} & \sqrt{\frac{9}{4}+\frac{9}{2 \sqrt{5}}} & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} \\
+ \frac{1}{4} \left(-1-\sqrt{5}\right) & -\sqrt{\frac{17}{8}+\frac{31}{8 \sqrt{5}}} & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} \\
+ \frac{1}{2} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(-5-\sqrt{5}\right) & \sqrt{\frac{5}{8}+\frac{11}{8 \sqrt{5}}} & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} \\
+ -\frac{1}{2} & \frac{1}{2} \sqrt{5+2 \sqrt{5}} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{\sqrt{5}-3} & -\sqrt{\frac{13}{8}+\frac{29}{8 \sqrt{5}}} & -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ -\frac{1}{2} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ -1-\frac{\sqrt{5}}{2} & \sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} \\
+ \frac{1}{4} \left(-3-\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{4} \left(-5-\sqrt{5}\right) & -\frac{1}{4} \sqrt{10+\frac{22}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ \frac{1}{4} \left(-3-\sqrt{5}\right) & -\frac{1}{2} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ -1-\frac{\sqrt{5}}{2} & -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ \frac{1}{2} \left(-1-\sqrt{5}\right) & 0 & -\frac{1}{2} \sqrt{5+2 \sqrt{5}} \\
+ -\frac{1}{2} & -\frac{3}{2} \sqrt{1+\frac{2}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ -\frac{1}{2}-\frac{2}{\sqrt{5}} & -\frac{1}{10} \sqrt{85+38 \sqrt{5}} & \frac{1}{10} \sqrt{85+22 \sqrt{5}} \\
+ -\frac{3}{4}-\frac{13}{4 \sqrt{5}} & -\frac{1}{10} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & \frac{1}{10} \sqrt{5+2 \sqrt{5}} \\
+ \frac{1}{2} \left(-1-\sqrt{5}\right) & \sqrt{1+\frac{2}{\sqrt{5}}} & -\frac{1}{2} \sqrt{1+\frac{2}{\sqrt{5}}} \\
+ -1-\frac{2}{\sqrt{5}} & -\frac{3}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} & \frac{1}{10} \sqrt{5+2 \sqrt{5}} \\
+\end{array}
+\right)$. Determine the Circumradius.
+Answer:
+$\frac{1}{2} \sqrt{11+4 \sqrt{5}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/73002.txt b/pretraining/mathematica/geometry/solids/73002.txt
new file mode 100644
index 0000000000000000000000000000000000000000..68ae4b694ecf15942d1ad68e74591889f1c47520
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/73002.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.472 & 0.787 & 0.914 \\
+ 0.248 & 0.115 & 0.332 \\
+ 0.926 & 0.484 & 0.845 \\
+ 0.737 & 0.882 & 0.352 \\
+ 0.429 & 0.746 & 0.435 \\
+ 0.714 & 0.329 & 0.753 \\
+ 0.993 & 0.831 & 0.956 \\
+ 0.13 & 0.854 & 0.608 \\
+ 0.949 & 0.892 & 0.955 \\
+\end{array}
+\right)$. 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: $2.69$ 
+Surface Area: $1.55$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/73531.txt b/pretraining/mathematica/geometry/solids/73531.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e18856cadd11a2b4e7914bd78cc5154a2eb6ebf1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/73531.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.838 & 0.81 & 0.498 \\
+ 0.918 & 0.666 & 0.923 \\
+ 0.787 & 0.159 & 0.194 \\
+ 0.518 & 0.03 & 0.118 \\
+ 0.191 & 0.495 & 0.453 \\
+\end{array}
+\right)$. 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: $1.06$ 
+Solid Angle: $1.22$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/73703.txt b/pretraining/mathematica/geometry/solids/73703.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ac1bcc86fda7401750d58aca8682b5628d4c8c87
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/73703.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.879 & 0.636 & 0.289 \\
+ 0.388 & 0.153 & 0.468 \\
+ 0.235 & 0.481 & 0.321 \\
+ 0.618 & 0.144 & 0.279 \\
+ 0.76 & 0.251 & 0.715 \\
+ 0.643 & 0.965 & 0.13 \\
+ 0.086 & 0.078 & 0.817 \\
+\end{array}
+\right)$. 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: $1.5$ 
+Surface Area: $1.28$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/73795.txt b/pretraining/mathematica/geometry/solids/73795.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4fc24b7208d84a402b8a9443db34ab7451c12704
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/73795.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.473 & 0.576 & 0.292 \\
+ 0.15 & 0.065 & 0.143 \\
+ 0.607 & 0.994 & 0.519 \\
+ 0.33 & 0.747 & 0.753 \\
+ 0.047 & 0.027 & 0.68 \\
+ 0.685 & 0.626 & 0.724 \\
+ 0.93 & 0.932 & 0.471 \\
+ 0.978 & 0.223 & 0.137 \\
+ 0.471 & 0.896 & 0.853 \\
+ 0.917 & 0.835 & 0.36 \\
+\end{array}
+\right)$. 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: $2.07$ 
+Volume: $0.17$ 
+Solid Angle: $5.03$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/7625.txt b/pretraining/mathematica/geometry/solids/7625.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fc6cf10810484e966d204199e2df6320c4ae5cd5
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/7625.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.221 & 0.592 & 0.327 \\
+ 0.179 & 0.058 & 0.767 \\
+ 0.866 & 0.133 & 0.952 \\
+ 0.507 & 0.383 & 0.342 \\
+ 0.95 & 0.74 & 0.903 \\
+ 0.306 & 0.047 & 0.685 \\
+ 0.766 & 0.727 & 0.154 \\
+ 0.334 & 0.872 & 0.564 \\
+\end{array}
+\right)$. 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: $2.17$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/76461.txt b/pretraining/mathematica/geometry/solids/76461.txt
new file mode 100644
index 0000000000000000000000000000000000000000..96fc4b1b5b4172e0a4ad91d8b63f1fed8119eb2f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/76461.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.044 & 0.617 & 0.286 \\
+ 0.415 & 0.638 & 0.996 \\
+ 0.026 & 0.988 & 0.214 \\
+ 0. & 0.134 & 0.918 \\
+ 0.128 & 0.148 & 0.841 \\
+ 0.38 & 0.105 & 0.964 \\
+ 0.714 & 0.656 & 0.839 \\
+ 0.175 & 0.912 & 0.756 \\
+ 0.621 & 0.546 & 0.119 \\
+\end{array}
+\right)$. 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: $0.18$ 
+Solid Angle: $3.31$ 
+Surface Area: $1.94$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/77534.txt b/pretraining/mathematica/geometry/solids/77534.txt
new file mode 100644
index 0000000000000000000000000000000000000000..851b01473189d1fa92ceccde770e71c1a80f1400
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/77534.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.534 & 0.125 & 0.099 \\
+ 0.183 & 0.102 & 0.704 \\
+ 0.745 & 0.511 & 0.838 \\
+ 0.89 & 0.857 & 0.451 \\
+ 0.983 & 0.452 & 0.803 \\
+ 0.032 & 0.86 & 0.231 \\
+ 0.854 & 0.985 & 0.65 \\
+ 0.037 & 0.371 & 0.258 \\
+\end{array}
+\right)$. 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: $0.2$ 
+Surface Area: $2.11$ 
+Solid Angle: $1.38$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/78040.txt b/pretraining/mathematica/geometry/solids/78040.txt
new file mode 100644
index 0000000000000000000000000000000000000000..32a7a5ab742e4f9264db3211a601a7046d46e652
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/78040.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0. & -1. & 0. \\
+ 0. & 1. & 0. \\
+ -0.289 & -0.5 & -0.816 \\
+ -0.289 & -0.5 & 0.816 \\
+ -0.289 & 0.5 & -0.816 \\
+ -0.289 & 0.5 & 0.816 \\
+ 0.577 & 0. & -0.816 \\
+ 0.577 & 0. & 0.816 \\
+ -0.866 & -0.5 & 0. \\
+ -0.866 & 0.5 & 0. \\
+ 0.866 & -0.5 & 0. \\
+ 0.866 & 0.5 & 0. \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$24.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/78952.txt b/pretraining/mathematica/geometry/solids/78952.txt
new file mode 100644
index 0000000000000000000000000000000000000000..46ac897c6ae31c234441385b4c76b0018f54fed0
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/78952.txt
@@ -0,0 +1,21 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -\frac{i \left(1+(-1)^{2/7}\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{1}{2} & \frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ -\frac{i \left(1+(-1)^{2/7}\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{1}{2} & \frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ \frac{i \left(1+(-1)^{2/7}\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{1}{2} & -\frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ \frac{i \left(1+(-1)^{2/7}\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{1}{2} & -\frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ -\frac{(-1)^{9/14}}{(-1)^{2/7}-1} & 0 & -\frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ \frac{(-1)^{9/14}}{(-1)^{2/7}-1} & 0 & \frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ -\frac{\sqrt[14]{-1} \left(\sqrt[7]{-1}-1\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{(-1)^{4/7} \left(1+\sqrt[7]{-1}\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ -\frac{\sqrt[14]{-1} \left(\sqrt[7]{-1}-1\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{(-1)^{4/7} \left(1+\sqrt[7]{-1}\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ \frac{\sqrt[14]{-1} \left(\sqrt[7]{-1}-1\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{(-1)^{4/7} \left(1+\sqrt[7]{-1}\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ \frac{\sqrt[14]{-1} \left(\sqrt[7]{-1}-1\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{(-1)^{4/7} \left(1+\sqrt[7]{-1}\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ \frac{(-1)^{13/14} \left((-1)^{3/7}-1\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{(-1)^{3/7} \left(1+(-1)^{3/7}\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ \frac{(-1)^{13/14} \left((-1)^{3/7}-1\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{(-1)^{3/7} \left(1+(-1)^{3/7}\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ -\frac{(-1)^{13/14} \left((-1)^{3/7}-1\right)}{2 \left((-1)^{2/7}-1\right)} & -\frac{(-1)^{3/7} \left(1+(-1)^{3/7}\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+ -\frac{(-1)^{13/14} \left((-1)^{3/7}-1\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{(-1)^{3/7} \left(1+(-1)^{3/7}\right)}{2 \left((-1)^{2/7}-1\right)} & \frac{1}{2} \sqrt{1-\frac{\sqrt[7]{-1}}{\left(1+\sqrt[7]{-1}\right)^2}} \\
+\end{array}
+\right)$. Determine the Volume.
+Answer:
+$\frac{1}{6} \sqrt{\frac{7}{6} \left(112+\frac{794\ 7^{2/3}}{\sqrt[3]{\frac{1}{2} \left(41581+2769 i \sqrt{3}\right)}}+2^{2/3} \sqrt[3]{7 \left(41581+2769 i \sqrt{3}\right)}\right)}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/79441.txt b/pretraining/mathematica/geometry/solids/79441.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eb1b7b0a9680a5e349d2d39cac8656bee2f7518b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/79441.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.206 & 0.867 & 0.493 \\
+ 0.039 & 0.266 & 0.697 \\
+ 0.733 & 0.025 & 0.599 \\
+ 0.448 & 0.482 & 0.129 \\
+ 0.939 & 0.557 & 0.288 \\
+ 0.933 & 0.541 & 0.282 \\
+ 0.564 & 0.29 & 0.192 \\
+ 0.786 & 0.848 & 0.992 \\
+ 0.042 & 0.182 & 0.455 \\
+\end{array}
+\right)$. 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: $1.63$ 
+Volume: $0.2$ 
+Surface Area: $1.98$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/81427.txt b/pretraining/mathematica/geometry/solids/81427.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1993edd4638fb94445354b6b27fb8b1bd4298836
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/81427.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.852 & 0.588 & 0.3 \\
+ 0.659 & 0.234 & 0.128 \\
+ 0.046 & 0.124 & 0.071 \\
+ 0.32 & 0.185 & 0.842 \\
+ 0.406 & 0.996 & 0.902 \\
+ 0.182 & 0.929 & 0.734 \\
+ 0.284 & 0.636 & 0.98 \\
+ 0.348 & 0.706 & 0.236 \\
+\end{array}
+\right)$. 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: $0.17$ 
+Solid Angle: $1.3$ 
+Surface Area: $1.93$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/82380.txt b/pretraining/mathematica/geometry/solids/82380.txt
new file mode 100644
index 0000000000000000000000000000000000000000..29f7cdf53b233f07dacf614a46452f3b6b1b1de2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/82380.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.12 & 0.768 & 0.297 \\
+ 0.244 & 0.345 & 0.785 \\
+ 0.229 & 0.984 & 0.292 \\
+ 0.001 & 0.041 & 0.702 \\
+ 0.155 & 0.993 & 0.441 \\
+ 0.951 & 0.79 & 0.125 \\
+\end{array}
+\right)$. 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: $1.23$ 
+Volume: $0.06$ 
+Solid Angle: $2.83$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/8241.txt b/pretraining/mathematica/geometry/solids/8241.txt
new file mode 100644
index 0000000000000000000000000000000000000000..45ec45fb4f1000f907bde23d935c4ae4ce3bc6c8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/8241.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.821 & 0.561 & 0.072 \\
+ 0.566 & 0.802 & 0.333 \\
+ 0.217 & 0.088 & 0.283 \\
+ 0.26 & 0.088 & 0.063 \\
+ 0.44 & 0.94 & 0.69 \\
+\end{array}
+\right)$. 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: $0.02$ 
+Surface Area: $0.84$ 
+Solid Angle: $0.34$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/82906.txt b/pretraining/mathematica/geometry/solids/82906.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e3a8cc0eb10b615047fd556dad70a558fde4ca46
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/82906.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.947 & 0.851 & 0.565 \\
+ 0.743 & 0.239 & 0.847 \\
+ 0.373 & 0.587 & 0.185 \\
+ 0.811 & 0.882 & 0.922 \\
+ 0.044 & 0.385 & 0.733 \\
+ 0.206 & 0.591 & 0.745 \\
+ 0.856 & 0.505 & 0.992 \\
+ 0.579 & 0.069 & 0. \\
+ 0.956 & 0.752 & 0.175 \\
+ 0.089 & 0.138 & 0.221 \\
+\end{array}
+\right)$. 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: $2.$ 
+Surface Area: $2.37$ 
+Volume: $0.23$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/83882.txt b/pretraining/mathematica/geometry/solids/83882.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c57a972db74476e2c182a4d9170ac0672058631e
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/83882.txt
@@ -0,0 +1,6 @@
+Problem:
+A cone with radius $0.512$ has its base centered at$\{6.041,0.495,2.929\}$ and its tip is at $\{8.488,5.028,3.978\}$. Estimate the cone's surface area, volume, and centroid.
+Answer:
+Centroid: $\{6.65,1.63,3.19\}$ 
+Surface Area: $9.32$ 
+Volume: $1.44$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/86524.txt b/pretraining/mathematica/geometry/solids/86524.txt
new file mode 100644
index 0000000000000000000000000000000000000000..410752c35ee09d55632e506915f7ee7bb1ab2a7d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/86524.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.494 & 0.154 & 0.1 \\
+ 0.453 & 0.419 & 0.302 \\
+ 0.2 & 0.064 & 0.593 \\
+ 0.548 & 0.125 & 0.777 \\
+ 0.537 & 0.867 & 0.863 \\
+ 0.836 & 0.731 & 0.389 \\
+ 0.573 & 0.323 & 0.849 \\
+ 0.536 & 0.148 & 0.199 \\
+ 0.3 & 0.944 & 0.79 \\
+ 0.62 & 0.864 & 0.666 \\
+\end{array}
+\right)$. 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: $1.45$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/89927.txt b/pretraining/mathematica/geometry/solids/89927.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c9c13d4c31acbf65147e0ce087c12b9a0faa0cc8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/89927.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.384 & 0.653 & 0.903 \\
+ 0.365 & 0.394 & 0.016 \\
+ 0.356 & 0.18 & 0.182 \\
+ 0.488 & 0.614 & 0.043 \\
+ 0.808 & 0.581 & 0.439 \\
+ 0.39 & 0.241 & 0.264 \\
+\end{array}
+\right)$. 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: $0.74$ 
+Volume: $0.03$ 
+Solid Angle: $0.21$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/90955.txt b/pretraining/mathematica/geometry/solids/90955.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7d06eae9859b1a7da759efa39ece494ad67a68ac
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/90955.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.304 & 0.126 & 0.095 \\
+ 0.04 & 0.361 & 0.493 \\
+ 0.26 & 0.837 & 0.905 \\
+ 0.949 & 0.859 & 0.962 \\
+ 0.708 & 0.77 & 0.459 \\
+ 0.448 & 0.12 & 0.541 \\
+ 0.156 & 0.077 & 0.618 \\
+ 0.24 & 0.948 & 0.374 \\
+ 0.194 & 0.995 & 0.552 \\
+\end{array}
+\right)$. 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: $1.93$ 
+Solid Angle: $0.99$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/93682.txt b/pretraining/mathematica/geometry/solids/93682.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5e1c17419f4e59af2977e457905a03a0246da22b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/93682.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.77 & 0.402 & 0.238 \\
+ 0.086 & 0.594 & 0.498 \\
+ 0.756 & 0.026 & 0.056 \\
+ 0.025 & 0.76 & 0.537 \\
+ 0.804 & 0.161 & 0.933 \\
+ 0.568 & 0.283 & 0.878 \\
+ 0.947 & 0.776 & 0.545 \\
+\end{array}
+\right)$. 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:
+Solid Angle: $4.58$ 
+Surface Area: $1.61$ 
+Volume: $0.12$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/94321.txt b/pretraining/mathematica/geometry/solids/94321.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8936500761a821ea368f30ecfe2ab0d071cd6520
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/94321.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.91 & 0.32 & 0.663 \\
+ 0.822 & 0.14 & 0.921 \\
+ 0.837 & 0.189 & 0.944 \\
+ 0.378 & 0.474 & 0.362 \\
+ 0.356 & 0.518 & 0.221 \\
+\end{array}
+\right)$. 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: $0.3$ 
+Solid Angle: $0.31$ 
+Volume: $0.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/95879.txt b/pretraining/mathematica/geometry/solids/95879.txt
new file mode 100644
index 0000000000000000000000000000000000000000..044104fb8cb17454217f36850733ba8b15d988df
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/95879.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.843 & 0.078 & 0.96 \\
+ 0.633 & 0.907 & 0.703 \\
+ 0.904 & 0.587 & 0.157 \\
+ 0.444 & 0.375 & 0.575 \\
+ 0.351 & 0.326 & 0.666 \\
+ 0.537 & 0.988 & 0.825 \\
+\end{array}
+\right)$. 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: $1.11$ 
+Volume: $0.06$ 
+Solid Angle: $0.4$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/97658.txt b/pretraining/mathematica/geometry/solids/97658.txt
new file mode 100644
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+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.028 & 0.262 & 0.596 \\
+ 0.742 & 0.351 & 0.974 \\
+ 0.774 & 0.235 & 0.981 \\
+ 0.151 & 0.759 & 0.149 \\
+ 0.441 & 0.438 & 0.94 \\
+ 0.951 & 0.482 & 0.172 \\
+ 0.079 & 0.891 & 0.892 \\
+ 0.99 & 0.45 & 0.832 \\
+ 0.744 & 0.746 & 0.352 \\
+ 0.197 & 0.977 & 0.292 \\
+\end{array}
+\right)$. 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: $1.51$ 
+Surface Area: $2.25$ 
+Volume: $0.23$
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