diff --git a/pretraining/mathematica/geometry/solids/10345.txt b/pretraining/mathematica/geometry/solids/10345.txt
new file mode 100644
index 0000000000000000000000000000000000000000..64454c03a8cb960c377f555744b9d9f66f08a18a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/10345.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.519 & 0.64 & 0.712 \\
+ 0.774 & 0.509 & 0.418 \\
+ 0.05 & 0.123 & 0.09 \\
+ 0.005 & 0.881 & 0.734 \\
+\end{array}
+\right)$. 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: $0.02$ 
+Surface Area: $0.89$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/11994.txt b/pretraining/mathematica/geometry/solids/11994.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a2a39410431f1552e149260fe59ca60161eda26f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/11994.txt
@@ -0,0 +1,37 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0. & -1.618 & -0.5 \\
+ 0. & -1.618 & 0.5 \\
+ 0. & 1.618 & -0.5 \\
+ 0. & 1.618 & 0.5 \\
+ 0.851 & 0. & -1.026 \\
+ 0.851 & 0. & 1.026 \\
+ 0.263 & -0.809 & -1.026 \\
+ 0.263 & -0.809 & 1.026 \\
+ 0.263 & 0.809 & -1.026 \\
+ 0.263 & 0.809 & 1.026 \\
+ -0.951 & -1.309 & -0.5 \\
+ -0.951 & -1.309 & 0.5 \\
+ -0.951 & 1.309 & -0.5 \\
+ -0.951 & 1.309 & 0.5 \\
+ 0.951 & -1.309 & -0.5 \\
+ 0.951 & -1.309 & 0.5 \\
+ 0.951 & 1.309 & -0.5 \\
+ 0.951 & 1.309 & 0.5 \\
+ -0.688 & -0.5 & -1.026 \\
+ -0.688 & -0.5 & 1.026 \\
+ -0.688 & 0.5 & -1.026 \\
+ -0.688 & 0.5 & 1.026 \\
+ -1.539 & -0.5 & -0.5 \\
+ -1.539 & -0.5 & 0.5 \\
+ -1.539 & 0.5 & -0.5 \\
+ -1.539 & 0.5 & 0.5 \\
+ 1.539 & -0.5 & -0.5 \\
+ 1.539 & -0.5 & 0.5 \\
+ 1.539 & 0.5 & -0.5 \\
+ 1.539 & 0.5 & 0.5 \\
+\end{array}
+\right)$. Determine the Volume.
+Answer:
+$12.34$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/12238.txt b/pretraining/mathematica/geometry/solids/12238.txt
new file mode 100644
index 0000000000000000000000000000000000000000..deffc0841a31733c3a8069757533c7be7bc16b72
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/12238.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.238 & 0.897 & 0.015 \\
+ 0.802 & 0.749 & 0.256 \\
+ 0.507 & 0.218 & 0.08 \\
+ 0.047 & 0.842 & 0.203 \\
+ 0.685 & 0.898 & 0.281 \\
+ 0.626 & 0.644 & 0.616 \\
+ 0.01 & 0.954 & 0.639 \\
+ 0.528 & 0.036 & 0.919 \\
+ 0.037 & 0.674 & 0.479 \\
+ 0.368 & 0.29 & 0.016 \\
+ 0.019 & 0.591 & 0.774 \\
+\end{array}
+\right)$. 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: $0.21$ 
+Solid Angle: $1.92$ 
+Surface Area: $2.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/13851.txt b/pretraining/mathematica/geometry/solids/13851.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c06c5ae890e40dc87614a0d76ea6d28ab5e6c1b8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/13851.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.961 & 0.945 & 0.372 \\
+ 0.703 & 0.027 & 0.704 \\
+ 0.568 & 0.572 & 0.335 \\
+ 0.657 & 0.552 & 0.906 \\
+ 0.576 & 0.522 & 0.671 \\
+\end{array}
+\right)$. 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: $0.21$ 
+Surface Area: $0.69$ 
+Volume: $0.03$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/14039.txt b/pretraining/mathematica/geometry/solids/14039.txt
new file mode 100644
index 0000000000000000000000000000000000000000..be063e8582b4fbe281dcb0fe3215c202bd52a62a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/14039.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.653 & 0.173 & 0.717 \\
+ 0.931 & 0.432 & 0.916 \\
+ 0.152 & 0.537 & 0.82 \\
+ 0.474 & 0.921 & 0.345 \\
+ 0.012 & 0.225 & 0.244 \\
+ 0.817 & 0.864 & 0.133 \\
+ 0.785 & 0.769 & 0.158 \\
+ 0.228 & 0.759 & 0.977 \\
+\end{array}
+\right)$. 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: $1.92$ 
+Solid Angle: $1.98$ 
+Volume: $0.17$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/14373.txt b/pretraining/mathematica/geometry/solids/14373.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5bd823058f421e5de96b0c910c772644da04a066
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/14373.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.513 & 0.838 & 0.572 \\
+ 0.248 & 0.759 & 0.844 \\
+ 0.858 & 0.423 & 0.785 \\
+ 0.831 & 0.669 & 0.54 \\
+ 0.185 & 0.06 & 0.789 \\
+ 0.34 & 0.181 & 0.242 \\
+\end{array}
+\right)$. 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: $1.68$ 
+Surface Area: $1.22$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/16854.txt b/pretraining/mathematica/geometry/solids/16854.txt
new file mode 100644
index 0000000000000000000000000000000000000000..194027df66a85aec7f203118646afa49a8638b71
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/16854.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.769 & 0.515 & 0.005 \\
+ 0.569 & 0.442 & 0.192 \\
+ 0.274 & 0.584 & 0.428 \\
+ 0.138 & 0.439 & 0.853 \\
+ 0.975 & 0.689 & 0.989 \\
+ 0.677 & 0.508 & 0.555 \\
+ 0.594 & 0.829 & 0.617 \\
+ 0.024 & 0.409 & 0.573 \\
+\end{array}
+\right)$. 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: $1.31$ 
+Volume: $0.07$ 
+Solid Angle: $0.4$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/19873.txt b/pretraining/mathematica/geometry/solids/19873.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5d43bf1a36478290d042eb595c86d7ce2ae46746
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/19873.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.308 & 0.441 & 0.119 \\
+ 0.297 & 0.282 & 0.118 \\
+ 0.266 & 0.526 & 0.76 \\
+ 0.672 & 0.316 & 0.696 \\
+ 0.269 & 0.014 & 0.493 \\
+ 0.034 & 0.913 & 0.329 \\
+ 0.278 & 0.812 & 0.663 \\
+ 0.954 & 0.347 & 0.66 \\
+ 0.022 & 0.204 & 0.444 \\
+\end{array}
+\right)$. 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: $0.12$ 
+Surface Area: $1.48$ 
+Solid Angle: $2.92$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/21440.txt b/pretraining/mathematica/geometry/solids/21440.txt
new file mode 100644
index 0000000000000000000000000000000000000000..35f126d648d808822958d3a5ffcabcdcc75db245
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/21440.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.774 & 0.107 & 0.679 \\
+ 0.258 & 0.845 & 0.108 \\
+ 0.465 & 0.791 & 0.763 \\
+ 0.897 & 0.558 & 0.693 \\
+ 0.925 & 0.596 & 0.641 \\
+ 0.447 & 0.987 & 0.743 \\
+ 0.654 & 0.339 & 0.522 \\
+ 0.435 & 0.303 & 0.632 \\
+\end{array}
+\right)$. 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: $1.08$ 
+Solid Angle: $0.52$ 
+Volume: $0.06$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/21765.txt b/pretraining/mathematica/geometry/solids/21765.txt
new file mode 100644
index 0000000000000000000000000000000000000000..03f124d2f0b3e6966c4744701118ad41dbc8ded6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/21765.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.084 & 0.292 & 0.985 \\
+ 0.456 & 0.615 & 0.829 \\
+ 0.238 & 0.709 & 0.941 \\
+ 0.546 & 0.473 & 0.312 \\
+ 0.554 & 0.097 & 0.017 \\
+ 0.448 & 0.58 & 0.09 \\
+ 0.237 & 0.937 & 0.217 \\
+\end{array}
+\right)$. 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: $1.38$ 
+Solid Angle: $0.57$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/23177.txt b/pretraining/mathematica/geometry/solids/23177.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9187d6e9b41316e36934efbf26765e5f8a64dd9a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/23177.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.825 & 0.464 & 0.76 \\
+ 0.716 & 0.757 & 0.589 \\
+ 0.43 & 0.585 & 0.409 \\
+ 0.75 & 0.971 & 0.126 \\
+\end{array}
+\right)$. 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: $0.38$ 
+Solid Angle: $0.17$ 
+Volume: $0.01$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/23210.txt b/pretraining/mathematica/geometry/solids/23210.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f58279dc1ece69799b4fb3721b0f92c89e676af2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/23210.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.877 & 0.868 & 0.362 \\
+ 0.201 & 0.393 & 0.369 \\
+ 0.812 & 0.541 & 0.045 \\
+ 0.435 & 0.83 & 0.335 \\
+ 0.551 & 0.17 & 0.414 \\
+ 0.233 & 0.511 & 0.828 \\
+ 0.825 & 0.56 & 0.897 \\
+ 0.865 & 0.294 & 0.912 \\
+ 0.291 & 0.781 & 0.134 \\
+\end{array}
+\right)$. 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: $1.7$ 
+Volume: $0.16$ 
+Solid Angle: $1.67$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/30234.txt b/pretraining/mathematica/geometry/solids/30234.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4960e101d152a8d4fd3c01dd10f208bdc6900cc2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/30234.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.953 & 0.199 & 0.286 \\
+ 0.157 & 0.314 & 0.74 \\
+ 0.755 & 0.832 & 0.534 \\
+ 0.184 & 0.023 & 0.233 \\
+ 0.16 & 0.326 & 0.819 \\
+\end{array}
+\right)$. 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: $1.1$ 
+Volume: $0.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/31396.txt b/pretraining/mathematica/geometry/solids/31396.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b5180aeb51c4d99f0b7d2f70361bff1e4e018b94
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/31396.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0 & 0 & \frac{1}{2} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{4} \left(1-\sqrt{5}\right) & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} & \frac{1}{2} & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} & -\frac{1}{2} & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{4} \left(\sqrt{5}-1\right) & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ 0 & 0 & -\frac{1}{2} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{4} \left(\sqrt{5}-1\right) & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\frac{1}{2} \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{4} \left(1-\sqrt{5}\right) & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} & -\frac{1}{2} & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & 0 & \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & 0 & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{1-\frac{2}{\sqrt{5}}} & \frac{1}{2} & -\frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$30$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/31550.txt b/pretraining/mathematica/geometry/solids/31550.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7801888f572446c0d355ee439dc3fa468cf51b49
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/31550.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.388 & 0.738 & 0.966 \\
+ 0.593 & 0.322 & 0.861 \\
+ 0.752 & 0.626 & 0.011 \\
+ 0.776 & 0.678 & 0.869 \\
+ 0.428 & 0.944 & 0.125 \\
+ 0.975 & 0.98 & 0.78 \\
+ 0.927 & 0.848 & 0.267 \\
+ 0.207 & 0.7 & 0.008 \\
+\end{array}
+\right)$. 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: $1.44$ 
+Surface Area: $1.72$ 
+Volume: $0.15$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/32659.txt b/pretraining/mathematica/geometry/solids/32659.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bc1caacddd53751e844981ab4fcdf08a9ccdf9cd
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/32659.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.751 & 0.429 & 0.249 \\
+ 0.098 & 0.331 & 0.253 \\
+ 0.784 & 0.579 & 0.311 \\
+ 0.371 & 0.023 & 0.934 \\
+ 0.525 & 0.723 & 0.285 \\
+ 0.024 & 0.259 & 0.743 \\
+ 0.443 & 0.252 & 0.087 \\
+ 0.377 & 0.632 & 0.553 \\
+ 0.331 & 0.612 & 0.889 \\
+ 0.771 & 0.784 & 0.747 \\
+\end{array}
+\right)$. 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: $2.41$ 
+Volume: $0.14$ 
+Surface Area: $1.65$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/33613.txt b/pretraining/mathematica/geometry/solids/33613.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fafe3de49affb824de39b9475a41cdf4f986096c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/33613.txt
@@ -0,0 +1,6 @@
+Problem:
+A cone with radius $7.046$ has its base centered at$\{9.687,3.522,2.656\}$ and its tip is at $\{0.269,2.553,1.062\}$. Estimate the cone's surface area, volume, and centroid.
+Answer:
+Volume: $499.2$ 
+Centroid: $\{7.33,3.28,2.26\}$ 
+Surface Area: $419.62$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/34566.txt b/pretraining/mathematica/geometry/solids/34566.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0ee6e724231b4e857609bfcd47f6ee386c95e6ee
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/34566.txt
@@ -0,0 +1,5 @@
+Problem:
+An ellipsoid centered at $\{7.987,-1.663,1.373\}$ has radii $\{8.694,4.196,2.453\}$. Estimate the ellipsoid's surface area and volume.
+Answer:
+Surface Area: $304.22$ 
+Volume: $374.84$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/35920.txt b/pretraining/mathematica/geometry/solids/35920.txt
new file mode 100644
index 0000000000000000000000000000000000000000..812de4b2ed5fae020a4bea1b61bde12051cd2ecf
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/35920.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.204 & 0.289 & 0.913 \\
+ 0.548 & 0.375 & 0.027 \\
+ 0.298 & 0.998 & 0.56 \\
+ 0.174 & 0.962 & 0.474 \\
+\end{array}
+\right)$. 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: $0.1$ 
+Volume: $0.02$ 
+Surface Area: $0.76$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/39140.txt b/pretraining/mathematica/geometry/solids/39140.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b9102bd0a5e338b52fffa0c21853db8e476b9e1d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/39140.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.27 & 0.003 & 0.756 \\
+ 0.769 & 0.951 & 0.745 \\
+ 0.013 & 0.431 & 0.207 \\
+ 0.134 & 0.305 & 0.418 \\
+ 0.521 & 0.286 & 0.9 \\
+\end{array}
+\right)$. 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: $0.93$ 
+Volume: $0.$ 
+Solid Angle: $0.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/39159.txt b/pretraining/mathematica/geometry/solids/39159.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3a4722ce2a4e45e619088340a5290ae678548dae
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/39159.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.804 & 0.227 & 0.386 \\
+ 0.216 & 0.605 & 0.124 \\
+ 0.003 & 0.362 & 0.478 \\
+ 0.138 & 0.321 & 0.263 \\
+ 0.332 & 0.464 & 0.065 \\
+ 0.765 & 0.153 & 0.602 \\
+ 0.571 & 0.792 & 0.442 \\
+ 0.974 & 0.285 & 0.651 \\
+ 0.844 & 0.275 & 0.957 \\
+\end{array}
+\right)$. 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:
+Surface Area: $1.37$ 
+Solid Angle: $2.36$ 
+Volume: $0.1$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/39192.txt b/pretraining/mathematica/geometry/solids/39192.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e3fdf5187da734e6dad5bad93cf14120defbb1c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/39192.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.062 & 0.283 & 0.513 \\
+ 0.467 & 0.985 & 0.915 \\
+ 0.353 & 0.369 & 0.529 \\
+ 0.507 & 0.292 & 0.231 \\
+ 0.194 & 0.649 & 0.112 \\
+ 0.74 & 0.699 & 0.494 \\
+\end{array}
+\right)$. 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: $1.07$ 
+Volume: $0.06$ 
+Solid Angle: $0.92$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/40520.txt b/pretraining/mathematica/geometry/solids/40520.txt
new file mode 100644
index 0000000000000000000000000000000000000000..beff817bbe2818d85fa32bab34f276e4dc53f19e
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/40520.txt
@@ -0,0 +1,127 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -0.045 & -1.309 & 0.498 \\
+ -0.045 & 1.309 & 0.498 \\
+ 0.045 & -1.309 & -0.498 \\
+ 0.045 & 1.309 & -0.498 \\
+ -0.263 & -0.809 & 1.114 \\
+ -0.263 & 0.809 & 1.114 \\
+ 0.263 & -0.809 & -1.114 \\
+ 0.263 & 0.809 & -1.114 \\
+ -0.073 & -1.394 & 0.118 \\
+ -0.073 & 1.394 & 0.118 \\
+ 0.073 & -1.394 & -0.118 \\
+ 0.073 & 1.394 & -0.118 \\
+ -0.235 & -1.171 & -0.733 \\
+ -0.235 & 1.171 & -0.733 \\
+ 0.235 & -1.171 & 0.733 \\
+ 0.235 & 1.171 & 0.733 \\
+ -0.118 & -0.362 & -1.349 \\
+ -0.118 & -1.085 & 0.878 \\
+ -0.118 & 0.362 & -1.349 \\
+ -0.118 & 1.085 & 0.878 \\
+ 0.118 & -0.362 & 1.349 \\
+ 0.118 & -1.085 & -0.878 \\
+ 0.118 & 0.362 & 1.349 \\
+ 0.118 & 1.085 & -0.878 \\
+ -0.19 & -0.585 & 1.259 \\
+ -0.19 & 0.585 & 1.259 \\
+ 0.19 & -0.585 & -1.259 \\
+ 0.19 & 0.585 & -1.259 \\
+ -0.308 & -0.224 & 1.349 \\
+ -0.308 & 0.224 & 1.349 \\
+ 0.308 & -0.224 & -1.349 \\
+ 0.308 & 0.224 & -1.349 \\
+ -0.38 & 0. & -1.349 \\
+ 0.38 & 0. & 1.349 \\
+ -0.543 & -0.947 & 0.878 \\
+ -0.543 & 0.947 & 0.878 \\
+ 0.543 & -0.947 & -0.878 \\
+ 0.543 & 0.947 & -0.878 \\
+ -0.425 & -1.309 & 0.263 \\
+ -0.425 & 1.309 & 0.263 \\
+ 0.425 & -1.309 & -0.263 \\
+ 0.425 & 1.309 & -0.263 \\
+ -0.498 & -0.362 & -1.259 \\
+ -0.498 & -1.085 & -0.733 \\
+ -0.498 & 0.362 & -1.259 \\
+ -0.498 & 1.085 & -0.733 \\
+ 0.498 & -0.362 & 1.259 \\
+ 0.498 & -1.085 & 0.733 \\
+ 0.498 & 0.362 & 1.259 \\
+ 0.498 & 1.085 & 0.733 \\
+ -0.616 & 0. & 1.259 \\
+ 0.616 & 0. & -1.259 \\
+ -0.761 & -1.171 & 0.118 \\
+ -0.761 & 1.171 & 0.118 \\
+ 0.761 & -1.171 & -0.118 \\
+ 0.761 & 1.171 & -0.118 \\
+ -0.733 & -1.085 & 0.498 \\
+ -0.733 & -0.809 & -0.878 \\
+ -0.733 & 0.809 & -0.878 \\
+ -0.733 & 1.085 & 0.498 \\
+ 0.733 & -1.085 & -0.498 \\
+ 0.733 & -0.809 & 0.878 \\
+ 0.733 & 0.809 & 0.878 \\
+ 0.733 & 1.085 & -0.498 \\
+ -0.688 & -0.5 & -1.114 \\
+ -0.688 & 0.5 & -1.114 \\
+ 0.688 & -0.5 & 1.114 \\
+ 0.688 & 0.5 & 1.114 \\
+ -0.851 & 0. & 1.114 \\
+ 0.851 & 0. & -1.114 \\
+ -0.806 & -1.033 & -0.498 \\
+ -0.806 & 1.033 & -0.498 \\
+ 0.806 & -1.033 & 0.498 \\
+ 0.806 & 1.033 & 0.498 \\
+ -0.878 & -1.085 & -0.118 \\
+ -0.878 & -0.809 & 0.733 \\
+ -0.878 & 0.809 & 0.733 \\
+ -0.878 & 1.085 & -0.118 \\
+ 0.878 & -1.085 & 0.118 \\
+ 0.878 & -0.809 & -0.733 \\
+ 0.878 & 0.809 & -0.733 \\
+ 0.878 & 1.085 & 0.118 \\
+ -1.041 & -0.585 & 0.733 \\
+ -1.041 & 0.585 & 0.733 \\
+ 1.041 & -0.585 & -0.733 \\
+ 1.041 & 0.585 & -0.733 \\
+ -0.996 & -0.447 & -0.878 \\
+ -0.996 & 0.447 & -0.878 \\
+ 0.996 & -0.447 & 0.878 \\
+ 0.996 & 0.447 & 0.878 \\
+ -1.069 & -0.224 & 0.878 \\
+ -1.069 & 0.224 & 0.878 \\
+ 1.069 & -0.224 & -0.878 \\
+ 1.069 & 0.224 & -0.878 \\
+ -1.114 & -0.809 & -0.263 \\
+ -1.114 & 0.809 & -0.263 \\
+ 1.114 & -0.809 & 0.263 \\
+ 1.114 & 0.809 & 0.263 \\
+ -1.259 & -0.362 & 0.498 \\
+ -1.259 & 0.362 & 0.498 \\
+ 1.259 & -0.362 & -0.498 \\
+ 1.259 & 0.362 & -0.498 \\
+ -1.186 & 0.138 & -0.733 \\
+ -1.186 & -0.138 & -0.733 \\
+ 1.186 & 0.138 & 0.733 \\
+ 1.186 & -0.138 & 0.733 \\
+ -1.231 & -0.447 & -0.498 \\
+ -1.231 & 0.447 & -0.498 \\
+ 1.231 & -0.447 & 0.498 \\
+ 1.231 & 0.447 & 0.498 \\
+ -1.349 & -0.362 & 0.118 \\
+ -1.349 & 0.362 & 0.118 \\
+ 1.349 & -0.362 & -0.118 \\
+ 1.349 & 0.362 & -0.118 \\
+ -1.304 & -0.5 & -0.118 \\
+ -1.304 & 0.5 & -0.118 \\
+ 1.304 & -0.5 & 0.118 \\
+ 1.304 & 0.5 & 0.118 \\
+ -1.376 & 0. & 0.263 \\
+ 1.376 & 0. & -0.263 \\
+\end{array}
+\right)$. Determine the Circumradius.
+Answer:
+$1.4$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/40854.txt b/pretraining/mathematica/geometry/solids/40854.txt
new file mode 100644
index 0000000000000000000000000000000000000000..040239eb9edee912b11f0419260914f4b151cbf3
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/40854.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.599 & 0.842 & 0.157 \\
+ 0.139 & 0.955 & 0.67 \\
+ 0.271 & 0.31 & 0.77 \\
+ 0.357 & 0.088 & 0.907 \\
+ 0.445 & 0.162 & 0.943 \\
+ 0.445 & 0.646 & 0.899 \\
+ 0.049 & 0.76 & 0.244 \\
+ 0.681 & 0.685 & 0.368 \\
+ 0.492 & 0.327 & 0.477 \\
+ 0.38 & 0.535 & 0.222 \\
+\end{array}
+\right)$. 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: $1.38$ 
+Solid Angle: $1.13$ 
+Volume: $0.11$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/41350.txt b/pretraining/mathematica/geometry/solids/41350.txt
new file mode 100644
index 0000000000000000000000000000000000000000..53fdb4bf170227fbaaa1db8f2d37cebb385df0a7
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/41350.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.101 & 0.396 & 0.184 \\
+ 0.79 & 0.785 & 0.326 \\
+ 0.611 & 0.928 & 0.844 \\
+ 0.992 & 0.428 & 0.123 \\
+ 0.967 & 0.208 & 0.111 \\
+ 0.536 & 0.314 & 0.924 \\
+ 0.469 & 0.232 & 0.905 \\
+ 0.881 & 0.843 & 0.971 \\
+ 0.748 & 0.04 & 0.714 \\
+\end{array}
+\right)$. 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: $0.86$ 
+Surface Area: $2.09$ 
+Volume: $0.21$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/41763.txt b/pretraining/mathematica/geometry/solids/41763.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b0f1de7c6a0fc5e68e6fc50d08fa59c1625f4b32
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/41763.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.251 & 0.815 & 0.861 \\
+ 0.745 & 0.938 & 0.476 \\
+ 0.31 & 0.848 & 0.367 \\
+ 0.122 & 0.101 & 0.134 \\
+ 0.249 & 0.063 & 0.837 \\
+\end{array}
+\right)$. 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: $1.05$ 
+Surface Area: $1.34$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/43280.txt b/pretraining/mathematica/geometry/solids/43280.txt
new file mode 100644
index 0000000000000000000000000000000000000000..268525b14b5fb6070bc03a3938cd6ce880024a85
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/43280.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.484 & 0.113 & 0.16 \\
+ 0.231 & 0.064 & 0.803 \\
+ 0.36 & 0.783 & 0.168 \\
+ 0.996 & 0.616 & 0.366 \\
+ 0.292 & 0.433 & 0.027 \\
+ 0.798 & 0.909 & 0.891 \\
+ 0.334 & 0.114 & 0.089 \\
+\end{array}
+\right)$. 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:
+Volume: $0.14$ 
+Surface Area: $1.81$ 
+Solid Angle: $2.75$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/44012.txt b/pretraining/mathematica/geometry/solids/44012.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a9bb537c2f3f85fcc8514327c3c4a26a288d2fb7
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/44012.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.295 & 0.359 & 0.683 \\
+ 0.168 & 0.478 & 0.656 \\
+ 0.22 & 0.207 & 0.724 \\
+ 0.394 & 0.825 & 0.428 \\
+ 0.056 & 0.639 & 0.586 \\
+\end{array}
+\right)$. 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: $1.41$ 
+Volume: $0.$ 
+Surface Area: $0.22$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/44962.txt b/pretraining/mathematica/geometry/solids/44962.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4ffab91efdad2b6693d7bca791e940604aeaea00
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/44962.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.268 & 0.352 & 0.608 \\
+ 0.632 & 0.63 & 0.35 \\
+ 0.293 & 0.462 & 0.812 \\
+ 0.871 & 0.16 & 0.985 \\
+\end{array}
+\right)$. 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: $0.01$ 
+Surface Area: $0.53$ 
+Solid Angle: $1.07$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/45371.txt b/pretraining/mathematica/geometry/solids/45371.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1b3d240cd471aa56ecb77c3a633661aa8bac778f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/45371.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.783 & 0.206 & 0.911 \\
+ 0.242 & 0.711 & 0.147 \\
+ 0.015 & 0.586 & 0.099 \\
+ 0.454 & 0.404 & 0.897 \\
+ 0.905 & 0.664 & 0.149 \\
+ 0.578 & 0.988 & 0.604 \\
+\end{array}
+\right)$. 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: $0.59$ 
+Volume: $0.11$ 
+Surface Area: $1.49$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/45583.txt b/pretraining/mathematica/geometry/solids/45583.txt
new file mode 100644
index 0000000000000000000000000000000000000000..31af40419998eaeaaabde3a0083583f97c5a701d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/45583.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.585 & 0.616 & 0.326 \\
+ 0.145 & 0.853 & 0.963 \\
+ 0.793 & 0.13 & 0.472 \\
+ 0.385 & 0.852 & 0.89 \\
+ 0.194 & 0.854 & 0.201 \\
+ 0.293 & 0.296 & 0.77 \\
+ 0.516 & 0.682 & 0.711 \\
+\end{array}
+\right)$. 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: $0.07$ 
+Surface Area: $1.19$ 
+Solid Angle: $2.6$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/45865.txt b/pretraining/mathematica/geometry/solids/45865.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4c5c371a7269cf0f9e627a6845e03588e355c5ae
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/45865.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.629 & 0.125 & 0.292 \\
+ 0.071 & 0.231 & 0.933 \\
+ 0.031 & 0.677 & 0.892 \\
+ 0.608 & 0.593 & 0.316 \\
+ 0.762 & 0.039 & 0.769 \\
+ 0.002 & 0.233 & 0.521 \\
+ 0.82 & 0.914 & 0.526 \\
+ 0.061 & 0.942 & 0.659 \\
+ 0.038 & 0.62 & 0.291 \\
+ 0.681 & 0.143 & 0.3 \\
+\end{array}
+\right)$. 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: $2.17$ 
+Volume: $0.22$ 
+Solid Angle: $2.68$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/47457.txt b/pretraining/mathematica/geometry/solids/47457.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5c8a8c1a29de227fe72deac15261d3a744d2916a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/47457.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.049 & 0.048 & 0.544 \\
+ 0.456 & 0.053 & 0.934 \\
+ 0.036 & 0.353 & 0.632 \\
+ 0.467 & 0.774 & 0.483 \\
+ 0.79 & 0.899 & 0.856 \\
+ 0.964 & 0.157 & 0.897 \\
+ 0.827 & 0.676 & 0.444 \\
+ 0.739 & 0.423 & 0.534 \\
+ 0.976 & 0.963 & 0.57 \\
+ 0.93 & 0.195 & 0.701 \\
+\end{array}
+\right)$. 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: $0.86$ 
+Volume: $0.16$ 
+Surface Area: $1.82$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/48405.txt b/pretraining/mathematica/geometry/solids/48405.txt
new file mode 100644
index 0000000000000000000000000000000000000000..aad5fe3c831e0ec9a05b61f8139fb0c7aea326ba
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/48405.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.034 & 0.452 & 0.115 \\
+ 0.878 & 0.628 & 0.033 \\
+ 0.311 & 0.255 & 0.516 \\
+ 0.792 & 0.034 & 0.933 \\
+ 0.477 & 0.602 & 0.956 \\
+ 0.099 & 0.243 & 0.682 \\
+\end{array}
+\right)$. 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: $1.71$ 
+Solid Angle: $0.51$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/49505.txt b/pretraining/mathematica/geometry/solids/49505.txt
new file mode 100644
index 0000000000000000000000000000000000000000..caa8a4a401370ea47a90a6b25e50136b097423fc
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/49505.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.435 & 0.256 & 0.661 \\
+ 0.411 & 0.239 & 0.281 \\
+ 0.843 & 0.917 & 0.912 \\
+ 0.199 & 0.079 & 0.859 \\
+ 0.211 & 0.463 & 0.86 \\
+ 0.656 & 0.775 & 0.432 \\
+ 0.029 & 0.076 & 0.787 \\
+ 0.147 & 0.898 & 0.692 \\
+ 0.138 & 0.411 & 0.276 \\
+\end{array}
+\right)$. 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: $1.62$ 
+Volume: $0.14$ 
+Solid Angle: $5.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/4955.txt b/pretraining/mathematica/geometry/solids/4955.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3c30a6f955e09d54aea9b33296d94228c7255c6f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/4955.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.9 & 0.552 & 0.022 \\
+ 0.149 & 0.086 & 0.514 \\
+ 0.897 & 0.862 & 0.518 \\
+ 0.574 & 0.708 & 0.754 \\
+ 0.554 & 0.918 & 0.065 \\
+ 0.292 & 0.761 & 0.415 \\
+ 0.661 & 0.409 & 0.905 \\
+ 0.288 & 0.942 & 0.706 \\
+ 0.472 & 0.235 & 0.357 \\
+\end{array}
+\right)$. 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: $1.81$ 
+Solid Angle: $1.13$ 
+Volume: $0.17$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/51533.txt b/pretraining/mathematica/geometry/solids/51533.txt
new file mode 100644
index 0000000000000000000000000000000000000000..846f7a678ab0d949dbc6085aa2a6ae920e8b6ced
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/51533.txt
@@ -0,0 +1,21 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.793 & 0.838 & 0.388 \\
+ 0.075 & 0.603 & 0.92 \\
+ 0.055 & 0.852 & 0.476 \\
+ 0.093 & 0.792 & 0.188 \\
+ 0.697 & 0.304 & 0.816 \\
+ 0.474 & 0.909 & 0.063 \\
+ 0.428 & 0.995 & 0.396 \\
+ 0.962 & 0.596 & 0.491 \\
+ 0.329 & 0.117 & 0.308 \\
+ 0.169 & 0.112 & 0.954 \\
+ 0.514 & 0.806 & 0.105 \\
+ 0.246 & 0.95 & 0.932 \\
+\end{array}
+\right)$. 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: $3.22$ 
+Volume: $0.27$ 
+Surface Area: $2.37$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/51624.txt b/pretraining/mathematica/geometry/solids/51624.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2f17bbb4e4f9ef284b535dcaba25f3937cfe67c3
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/51624.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.312 & 0.233 & 0.955 \\
+ 0.302 & 0.946 & 0.685 \\
+ 0.706 & 0.09 & 0.48 \\
+ 0.065 & 0.136 & 0.038 \\
+ 0.33 & 0.922 & 0.993 \\
+ 0.921 & 0.223 & 0.131 \\
+\end{array}
+\right)$. 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: $1.88$ 
+Volume: $0.15$ 
+Solid Angle: $1.18$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/52943.txt b/pretraining/mathematica/geometry/solids/52943.txt
new file mode 100644
index 0000000000000000000000000000000000000000..02582f3a28b998937f71476a8ff29fcbf76d1b9d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/52943.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.928 & 0.923 & 0.833 \\
+ 0.796 & 0.906 & 0.969 \\
+ 0.26 & 0.107 & 0.685 \\
+ 0.432 & 0.246 & 0.338 \\
+ 0.239 & 0.206 & 0.402 \\
+ 0.851 & 0.217 & 0.442 \\
+ 0.231 & 0.674 & 0.7 \\
+\end{array}
+\right)$. 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:
+Surface Area: $1.25$ 
+Solid Angle: $0.69$ 
+Volume: $0.07$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/53586.txt b/pretraining/mathematica/geometry/solids/53586.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dc3d2798cf5599ef7f546ee43903571ab52f78f8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/53586.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.899 & 0.533 & 0.309 \\
+ 0.767 & 0.254 & 0.203 \\
+ 0.707 & 0.952 & 0.057 \\
+ 0.42 & 0.986 & 0.403 \\
+\end{array}
+\right)$. 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: $0.46$ 
+Solid Angle: $1.1$ 
+Volume: $0.01$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54431.txt b/pretraining/mathematica/geometry/solids/54431.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0694b5434ad309d37cc38c45a103942b3793afc4
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54431.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.707 & 0.48 & 0.142 \\
+ 0.184 & 0.255 & 0.877 \\
+ 0.113 & 0.908 & 0.356 \\
+ 0.489 & 0.914 & 0.25 \\
+ 0.966 & 0.116 & 0.895 \\
+ 0.435 & 0.905 & 0.002 \\
+ 0.278 & 0.443 & 0.207 \\
+ 0.697 & 0.852 & 0.337 \\
+ 0.315 & 0.246 & 0.71 \\
+ 0.549 & 0.186 & 0.826 \\
+\end{array}
+\right)$. 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: $1.84$ 
+Solid Angle: $2.31$ 
+Volume: $0.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/55538.txt b/pretraining/mathematica/geometry/solids/55538.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8dec55d312a2dd50e3fd183286d602207ed1a6cb
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/55538.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.366 & 0.584 & 0.374 \\
+ 0.904 & 0.771 & 0.604 \\
+ 0.263 & 0.788 & 0.21 \\
+ 0.838 & 0.159 & 0.217 \\
+ 0.96 & 0.623 & 0.179 \\
+ 0.843 & 0.991 & 0.365 \\
+ 0.486 & 0.455 & 0.036 \\
+ 0.087 & 0.055 & 0.154 \\
+ 0.719 & 0.096 & 0.412 \\
+\end{array}
+\right)$. 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: $4.64$ 
+Volume: $0.12$ 
+Surface Area: $1.59$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/57123.txt b/pretraining/mathematica/geometry/solids/57123.txt
new file mode 100644
index 0000000000000000000000000000000000000000..422b3d18dfb5093d4fb71436387573139cd6d6fa
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/57123.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.491 & 0.662 & 0.97 \\
+ 0.14 & 0.47 & 0.776 \\
+ 0.892 & 0.791 & 0.571 \\
+ 0.759 & 0.201 & 0.077 \\
+ 0.509 & 0.094 & 0.354 \\
+ 0.266 & 0.324 & 0.835 \\
+ 0.211 & 0.761 & 0.124 \\
+ 0.748 & 0.263 & 0.533 \\
+\end{array}
+\right)$. 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: $1.68$ 
+Solid Angle: $1.39$ 
+Volume: $0.15$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/58035.txt b/pretraining/mathematica/geometry/solids/58035.txt
new file mode 100644
index 0000000000000000000000000000000000000000..077730dceb76b45d136f727f35040be69e871939
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/58035.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.458 & 0.856 & 0.208 \\
+ 0.243 & 0.22 & 0.162 \\
+ 0.12 & 0.723 & 0.106 \\
+ 0.118 & 0.31 & 0.552 \\
+ 0.417 & 0.138 & 0.307 \\
+ 0.593 & 0.581 & 0.296 \\
+ 0.036 & 0.386 & 0.522 \\
+ 0.621 & 0.209 & 0.471 \\
+ 0.473 & 0.121 & 0.432 \\
+\end{array}
+\right)$. 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: $0.62$ 
+Surface Area: $0.89$ 
+Volume: $0.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/59455.txt b/pretraining/mathematica/geometry/solids/59455.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e28bd68c0964cebd0dfa045293ed418054f64155
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/59455.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.995 & 0.724 & 0.539 \\
+ 0.317 & 0.059 & 0.976 \\
+ 0.066 & 0.205 & 0.343 \\
+ 0.046 & 0.912 & 0.844 \\
+ 0.658 & 0.241 & 0.833 \\
+ 0.701 & 0.754 & 0.076 \\
+ 0.906 & 0.805 & 0.538 \\
+ 0.748 & 0.681 & 0.86 \\
+ 0.498 & 0.263 & 0.269 \\
+ 0.066 & 0.986 & 0.922 \\
+\end{array}
+\right)$. 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: $2.33$ 
+Volume: $0.25$ 
+Solid Angle: $1.93$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/60280.txt b/pretraining/mathematica/geometry/solids/60280.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3cd075d6bd5a82cd8c74991031c682182acf9b4b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/60280.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.276 & 0.964 & 0.193 \\
+ 0.289 & 0.468 & 0.778 \\
+ 0.441 & 0.127 & 0.447 \\
+ 0.477 & 0.02 & 0.926 \\
+\end{array}
+\right)$. 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: $0.02$ 
+Surface Area: $0.61$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/60434.txt b/pretraining/mathematica/geometry/solids/60434.txt
new file mode 100644
index 0000000000000000000000000000000000000000..caa02fd07d6a2f43c278fcc3f560c163725f283b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/60434.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.985 & 0.695 & 0.877 \\
+ 0.025 & 0.281 & 0.571 \\
+ 0.774 & 0.007 & 0.505 \\
+ 0.251 & 0.686 & 0.175 \\
+ 0.669 & 0.885 & 0.464 \\
+\end{array}
+\right)$. 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: $1.42$ 
+Solid Angle: $0.45$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/61345.txt b/pretraining/mathematica/geometry/solids/61345.txt
new file mode 100644
index 0000000000000000000000000000000000000000..71783eb5eb13d65f02bf113932cf4b967548a856
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/61345.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.964 & 0.584 & 0.386 \\
+ 0.722 & 0.202 & 0.565 \\
+ 0.731 & 0.862 & 0.661 \\
+ 0.517 & 0.765 & 0.334 \\
+ 0.109 & 0.877 & 0.452 \\
+ 0.05 & 0.527 & 0.07 \\
+ 0.922 & 0.662 & 0.564 \\
+ 0.184 & 0.835 & 0.663 \\
+ 0.42 & 0.417 & 0.064 \\
+ 0.037 & 0.304 & 0.401 \\
+\end{array}
+\right)$. 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: $1.61$ 
+Solid Angle: $1.76$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/65128.txt b/pretraining/mathematica/geometry/solids/65128.txt
new file mode 100644
index 0000000000000000000000000000000000000000..abd273b9dc24a49acd7e6cc12b2895ab8f393251
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/65128.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.472 & 0.127 & 0.004 \\
+ 0.467 & 0.263 & 0.567 \\
+ 0.798 & 0.925 & 0.719 \\
+ 0.743 & 0.224 & 0.871 \\
+ 0.624 & 0.784 & 0.812 \\
+ 0.388 & 0.64 & 0.05 \\
+ 0.006 & 0.599 & 0.606 \\
+ 0.371 & 0.217 & 0.331 \\
+\end{array}
+\right)$. 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:
+Solid Angle: $0.73$ 
+Volume: $0.13$ 
+Surface Area: $1.64$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/65355.txt b/pretraining/mathematica/geometry/solids/65355.txt
new file mode 100644
index 0000000000000000000000000000000000000000..513a60a6648641b40bf30655c6767f6229560d10
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/65355.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.101 & 0.853 & 0.507 \\
+ 0.355 & 0.269 & 0.268 \\
+ 0.469 & 0.495 & 0.048 \\
+ 0.065 & 0.522 & 0.853 \\
+ 0.193 & 0.886 & 0.719 \\
+ 0.302 & 0.612 & 0.831 \\
+ 0.086 & 0.571 & 0.596 \\
+ 0.076 & 0.973 & 0.143 \\
+ 0.666 & 0.56 & 0.39 \\
+\end{array}
+\right)$. 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: $5.47$ 
+Surface Area: $1.19$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/65485.txt b/pretraining/mathematica/geometry/solids/65485.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2640c0a2f06a61be83cb647666411722ef02598e
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/65485.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.145 & 0.125 & 0.777 \\
+ 0.02 & 0.988 & 0.993 \\
+ 0.343 & 0.672 & 0.953 \\
+ 0.419 & 0.182 & 0.271 \\
+ 0.689 & 0.167 & 0.778 \\
+ 0.866 & 0.914 & 0.911 \\
+ 0.662 & 0.173 & 0.673 \\
+ 0.726 & 0.79 & 0.219 \\
+ 0.042 & 0.61 & 0.722 \\
+\end{array}
+\right)$. 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: $2.14$ 
+Volume: $0.2$ 
+Solid Angle: $1.53$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/66798.txt b/pretraining/mathematica/geometry/solids/66798.txt
new file mode 100644
index 0000000000000000000000000000000000000000..723710ba35b237bfe2f09a69c7aade75f56e2343
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/66798.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.402 & 0.934 & 0.393 \\
+ 0.947 & 0.009 & 0.177 \\
+ 0.013 & 0.091 & 0.906 \\
+ 0.515 & 0.256 & 0.554 \\
+ 0.014 & 0.217 & 0.263 \\
+ 0.259 & 0.872 & 0.572 \\
+\end{array}
+\right)$. 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: $1.65$ 
+Solid Angle: $0.74$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/66928.txt b/pretraining/mathematica/geometry/solids/66928.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4556628719a8fd10aa5269e6333635b2a05919b8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/66928.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.879 & 0.251 & 0.929 \\
+ 0.422 & 0.95 & 0.241 \\
+ 0.051 & 0.689 & 0.838 \\
+ 0.526 & 0.229 & 0.108 \\
+ 0.98 & 0.817 & 0.385 \\
+ 0.852 & 0.129 & 0.167 \\
+ 0.74 & 0.855 & 0.504 \\
+ 0.133 & 0.775 & 0.754 \\
+ 0.619 & 0.29 & 0.566 \\
+ 0.548 & 0.215 & 0.146 \\
+ 0.133 & 0.584 & 0.622 \\
+\end{array}
+\right)$. 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: $0.9$ 
+Surface Area: $2.01$ 
+Volume: $0.18$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/68667.txt b/pretraining/mathematica/geometry/solids/68667.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0d7086a3ce8fdfbd6ab5803bb82e1ff04e9efd90
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/68667.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.466 & 0.979 & 0.937 \\
+ 0.2 & 0.244 & 0.758 \\
+ 0.241 & 0.104 & 0.406 \\
+ 0.727 & 0.569 & 0.894 \\
+ 0.51 & 0.402 & 0.478 \\
+\end{array}
+\right)$. 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: $0.71$ 
+Volume: $0.03$ 
+Solid Angle: $0.26$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/69117.txt b/pretraining/mathematica/geometry/solids/69117.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a3539fe8f25680de662055af393673e21f0d949a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/69117.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.972 & 0.198 & 0.298 \\
+ 0.224 & 0.533 & 0.087 \\
+ 0.026 & 0.062 & 0.43 \\
+ 0.381 & 0.933 & 0.728 \\
+ 0.721 & 0.415 & 0.683 \\
+ 0.79 & 0.046 & 0.788 \\
+ 0.006 & 0.523 & 0.833 \\
+ 0.411 & 0.187 & 0.812 \\
+\end{array}
+\right)$. 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: $0.97$ 
+Volume: $0.19$ 
+Surface Area: $1.99$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/7023.txt b/pretraining/mathematica/geometry/solids/7023.txt
new file mode 100644
index 0000000000000000000000000000000000000000..75796fe37c0b5b62d82f2834948a3198005a2488
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/7023.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.342 & 0.891 & 0.911 \\
+ 0.96 & 0.799 & 0.358 \\
+ 0.772 & 0.928 & 0.261 \\
+ 0.891 & 0.286 & 0.328 \\
+ 0.929 & 0.51 & 0.99 \\
+ 0.405 & 0.718 & 0.903 \\
+ 0.335 & 0.235 & 0.617 \\
+ 0.747 & 0.312 & 0.057 \\
+\end{array}
+\right)$. 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:
+Volume: $0.14$ 
+Surface Area: $1.68$ 
+Solid Angle: $0.89$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/71002.txt b/pretraining/mathematica/geometry/solids/71002.txt
new file mode 100644
index 0000000000000000000000000000000000000000..47fedf77c870be964d7cd158e7d4ae1a8fd17e14
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/71002.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.417 & 0.369 & 0.877 \\
+ 0.671 & 0.244 & 0.182 \\
+ 0.922 & 0.765 & 0.266 \\
+ 0.501 & 0.352 & 0.052 \\
+ 0.32 & 0.636 & 0.008 \\
+ 0.299 & 0.322 & 0.748 \\
+\end{array}
+\right)$. 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: $0.53$ 
+Volume: $0.05$ 
+Surface Area: $1.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/7411.txt b/pretraining/mathematica/geometry/solids/7411.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c6fcf4b43c786e765032864cbad0f9455a25b7e1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/7411.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.245 & 0.791 & 0.746 \\
+ 0.77 & 0.694 & 0.197 \\
+ 0.489 & 0.987 & 0.804 \\
+ 0.38 & 0.397 & 0.251 \\
+ 0.145 & 0.736 & 0.597 \\
+ 0.946 & 0.03 & 0.951 \\
+ 0.374 & 0.241 & 0.396 \\
+ 0.985 & 0.735 & 0.655 \\
+\end{array}
+\right)$. 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:
+Solid Angle: $2.93$ 
+Surface Area: $1.72$ 
+Volume: $0.15$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/77090.txt b/pretraining/mathematica/geometry/solids/77090.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6d8fe9d83d69f312f743ceaa7821b63746d6391c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/77090.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.05 & 0.195 & 0.242 \\
+ 0.861 & 0.186 & 0.879 \\
+ 0.997 & 0.247 & 0.59 \\
+ 0.015 & 0.886 & 0.947 \\
+ 0.149 & 0.152 & 0.843 \\
+ 0.534 & 0.007 & 0.154 \\
+ 0.673 & 0.69 & 0.092 \\
+ 0.001 & 0.793 & 0.998 \\
+ 0.01 & 0.076 & 0.678 \\
+\end{array}
+\right)$. 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: $2.52$ 
+Solid Angle: $2.22$ 
+Volume: $0.28$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/78855.txt b/pretraining/mathematica/geometry/solids/78855.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bec984c86128cc4c6c8c0bb711b0464b3bc99f0c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/78855.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.31 & 0.741 & 0.913 \\
+ 0.059 & 0.355 & 0.525 \\
+ 0.439 & 0.679 & 0.047 \\
+ 0.078 & 0.792 & 0.822 \\
+ 0.309 & 0.429 & 0.221 \\
+\end{array}
+\right)$. 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: $0.63$ 
+Surface Area: $0.64$ 
+Volume: $0.02$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/79840.txt b/pretraining/mathematica/geometry/solids/79840.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ae159f8cc3e3307f92f85a93231164651a5411c8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/79840.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.018 & 0.517 & 0.878 \\
+ 0.868 & 0.31 & 0.766 \\
+ 0.789 & 0.649 & 0.933 \\
+ 0.991 & 0.729 & 0.047 \\
+ 0.421 & 0.656 & 0.208 \\
+ 0.083 & 0.014 & 0.572 \\
+ 0.092 & 0.03 & 0.597 \\
+ 0.746 & 0.184 & 0.786 \\
+ 0.456 & 0.987 & 0.655 \\
+\end{array}
+\right)$. 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: $0.22$ 
+Solid Angle: $1.31$ 
+Surface Area: $2.16$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/80268.txt b/pretraining/mathematica/geometry/solids/80268.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b534761701c619560ec1627c5ca0c6bc93631f7f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/80268.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.97 & 0.989 & 0.532 \\
+ 0.135 & 0.511 & 0.98 \\
+ 0.284 & 0.027 & 0.796 \\
+ 0.532 & 0.785 & 0.296 \\
+\end{array}
+\right)$. 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: $0.04$ 
+Surface Area: $0.97$ 
+Solid Angle: $0.21$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/80632.txt b/pretraining/mathematica/geometry/solids/80632.txt
new file mode 100644
index 0000000000000000000000000000000000000000..88ad8132030a540a0c34f6c7f6b144c7f7af3323
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/80632.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.587 & 0.357 & 0.634 \\
+ 0.315 & 0.373 & 0.613 \\
+ 0.781 & 0.86 & 0.719 \\
+ 0.451 & 0.501 & 0.772 \\
+\end{array}
+\right)$. 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: $0.2$ 
+Volume: $0.$ 
+Solid Angle: $0.58$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/82288.txt b/pretraining/mathematica/geometry/solids/82288.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6decb009812749776f436532c07915a751a115f3
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/82288.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.138 & 0.797 & 0.468 \\
+ 0.466 & 0.624 & 0.066 \\
+ 0.944 & 0.752 & 0.242 \\
+ 0.757 & 0.107 & 0.597 \\
+ 0.113 & 0.116 & 0.471 \\
+ 0.137 & 0.193 & 0.578 \\
+ 0.48 & 0.172 & 0.367 \\
+\end{array}
+\right)$. 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: $1.33$ 
+Solid Angle: $0.84$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/82384.txt b/pretraining/mathematica/geometry/solids/82384.txt
new file mode 100644
index 0000000000000000000000000000000000000000..972a420b8558643f5ced8f8fae831806ced8b9c0
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/82384.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.421 & 0.702 & 0.95 \\
+ 0.91 & 0.147 & 0.585 \\
+ 0.395 & 0.218 & 0.66 \\
+ 0.995 & 0.142 & 0.218 \\
+\end{array}
+\right)$. 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: $0.1$ 
+Volume: $0.02$ 
+Surface Area: $0.56$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/84209.txt b/pretraining/mathematica/geometry/solids/84209.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ecdc6dce4baa18e450705db69e91264326f51028
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/84209.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.602 & 0.543 & 0.506 \\
+ 0.13 & 0.047 & 0.783 \\
+ 0.203 & 0.471 & 0.031 \\
+ 0.708 & 0.443 & 0.904 \\
+ 0.011 & 0.751 & 0.744 \\
+ 0.395 & 0.882 & 0.043 \\
+ 0.542 & 0.544 & 0.879 \\
+ 0.296 & 0.4 & 0.236 \\
+\end{array}
+\right)$. 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:
+Solid Angle: $3.8$ 
+Volume: $0.12$ 
+Surface Area: $1.55$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/85607.txt b/pretraining/mathematica/geometry/solids/85607.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4ff2638cd85ff9af752cd96e6faaa7a725c56865
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/85607.txt
@@ -0,0 +1,27 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0 & \frac{1}{2} \left(-1-\sqrt{5}\right) & 0 \\
+ 0 & \frac{1}{2} \left(1+\sqrt{5}\right) & 0 \\
+ \sqrt{\frac{1}{2}+\frac{1}{2 \sqrt{5}}} & 0 & -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \sqrt{\frac{1}{2}+\frac{1}{2 \sqrt{5}}} & 0 & \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(-1-\sqrt{5}\right) & -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(-1-\sqrt{5}\right) & \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(1+\sqrt{5}\right) & -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ \frac{1}{2} \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{1}{4} \left(1+\sqrt{5}\right) & \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & 0 \\
+ -\sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(3+\sqrt{5}\right) & 0 \\
+ \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(-3-\sqrt{5}\right) & 0 \\
+ \sqrt{\frac{5}{8}+\frac{\sqrt{5}}{8}} & \frac{1}{4} \left(3+\sqrt{5}\right) & 0 \\
+ -\sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & -\frac{1}{2} & -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & -\frac{1}{2} & \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & \frac{1}{2} & -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{1}{4}+\frac{1}{2 \sqrt{5}}} & \frac{1}{2} & \sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} \\
+ -\sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & -\frac{1}{2} & 0 \\
+ -\sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & \frac{1}{2} & 0 \\
+ \sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & -\frac{1}{2} & 0 \\
+ \sqrt{\frac{5}{4}+\frac{\sqrt{5}}{2}} & \frac{1}{2} & 0 \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$40$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/9057.txt b/pretraining/mathematica/geometry/solids/9057.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dab316f8feeec54738d467b43cf333c28900d908
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/9057.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.711 & 0.734 & 0.892 \\
+ 0.611 & 0.117 & 0.065 \\
+ 0.775 & 0.436 & 0.718 \\
+ 0.582 & 0.028 & 0.944 \\
+ 0.524 & 0.955 & 0.351 \\
+\end{array}
+\right)$. 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: $1.21$ 
+Solid Angle: $0.63$ 
+Volume: $0.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/9177.txt b/pretraining/mathematica/geometry/solids/9177.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c378cbc39385dea137d51a34c02ce44bf11623e8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/9177.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.239 & 0.796 & 0.728 \\
+ 0.802 & 0.918 & 0.511 \\
+ 0.974 & 0.613 & 0.6 \\
+ 0.262 & 0.004 & 0.426 \\
+ 0.16 & 0.837 & 0.084 \\
+\end{array}
+\right)$. 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: $1.39$ 
+Surface Area: $1.39$ 
+Volume: $0.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/92538.txt b/pretraining/mathematica/geometry/solids/92538.txt
new file mode 100644
index 0000000000000000000000000000000000000000..566d647680bf8f0ab9ea583fb298db6cdaf26a1d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/92538.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.674 & 0.865 & 0.021 \\
+ 0.019 & 0.767 & 0.085 \\
+ 0.92 & 0.884 & 0.468 \\
+ 0.116 & 0.63 & 0.635 \\
+ 0.009 & 0.278 & 0.133 \\
+ 0.009 & 0.443 & 0.865 \\
+ 0.67 & 0.22 & 0.497 \\
+ 0.684 & 0.801 & 0.939 \\
+ 0.009 & 0.044 & 0.222 \\
+ 0.525 & 0.178 & 0.332 \\
+ 0.273 & 0.035 & 0.428 \\
+\end{array}
+\right)$. 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: $2.49$ 
+Solid Angle: $1.29$ 
+Volume: $0.26$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/92726.txt b/pretraining/mathematica/geometry/solids/92726.txt
new file mode 100644
index 0000000000000000000000000000000000000000..15996ccbbdc95d667e82948abe266e54bf561a57
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/92726.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.989 & 0.56 & 0.116 \\
+ 0.289 & 0.664 & 0.316 \\
+ 0.82 & 0.713 & 0.928 \\
+ 0.761 & 0.911 & 0.184 \\
+ 0.641 & 0.412 & 0.839 \\
+\end{array}
+\right)$. 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: $0.98$ 
+Volume: $0.06$ 
+Solid Angle: $0.71$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/93730.txt b/pretraining/mathematica/geometry/solids/93730.txt
new file mode 100644
index 0000000000000000000000000000000000000000..16fbd56107caf78ce50514f8885334ef602558d2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/93730.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.77 & 0.634 & 0.352 \\
+ 0.129 & 0.023 & 0.503 \\
+ 0.506 & 0.985 & 0.537 \\
+ 0.238 & 0.03 & 0.182 \\
+ 0.093 & 0.676 & 0.854 \\
+ 0.447 & 0.132 & 0.503 \\
+ 0.833 & 0.583 & 0.081 \\
+ 0.429 & 0.059 & 0.872 \\
+\end{array}
+\right)$. 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:
+Solid Angle: $3.95$ 
+Volume: $0.13$ 
+Surface Area: $1.77$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/95000.txt b/pretraining/mathematica/geometry/solids/95000.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fbb1816f75dea5eb8acd479ea606c43a43ec36ca
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/95000.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.372 & 0.456 & 0.074 \\
+ 0.992 & 0.749 & 0.473 \\
+ 0.059 & 0.011 & 0.559 \\
+ 0.142 & 0.164 & 0.941 \\
+ 0.724 & 0.252 & 0.152 \\
+ 0.282 & 0.815 & 0.082 \\
+ 0.036 & 0.166 & 0.399 \\
+ 0.613 & 0.766 & 0.693 \\
+ 0.206 & 0.545 & 0.785 \\
+\end{array}
+\right)$. 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: $3.76$ 
+Volume: $0.18$ 
+Surface Area: $1.93$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/9914.txt b/pretraining/mathematica/geometry/solids/9914.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dc08df56592783750dae870a62cfc8d61e863d46
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/9914.txt
@@ -0,0 +1,27 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -0.602 & 0. & -0.115 \\
+ 0.602 & 0. & 0.115 \\
+ -0.372 & 0. & -0.487 \\
+ 0.372 & 0. & 0.487 \\
+ -0.487 & -0.354 & 0.115 \\
+ -0.487 & 0.354 & 0.115 \\
+ 0.487 & -0.354 & -0.115 \\
+ 0.487 & 0.354 & -0.115 \\
+ -0.301 & -0.219 & 0.487 \\
+ -0.301 & 0.219 & 0.487 \\
+ 0.301 & -0.219 & -0.487 \\
+ 0.301 & 0.219 & -0.487 \\
+ -0.186 & -0.572 & -0.115 \\
+ -0.186 & 0.572 & -0.115 \\
+ -0.115 & -0.354 & -0.487 \\
+ -0.115 & 0.354 & -0.487 \\
+ 0.115 & -0.354 & 0.487 \\
+ 0.115 & 0.354 & 0.487 \\
+ 0.186 & -0.572 & 0.115 \\
+ 0.186 & 0.572 & 0.115 \\
+\end{array}
+\right)$. Determine the Circumradius.
+Answer:
+$0.61$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/99931.txt b/pretraining/mathematica/geometry/solids/99931.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bbf18c940932ac8d76ce5646aab9d9b2eac09aeb
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/99931.txt
@@ -0,0 +1,29 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -1-\frac{1}{\sqrt{5}} & 0 & \frac{1}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(-5-3 \sqrt{5}\right) & -\sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & -\frac{1}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(-5-3 \sqrt{5}\right) & \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & -\frac{1}{2 \sqrt{5}} \\
+ -\frac{2}{\sqrt{5}} & 0 & -\frac{3}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(-5-\sqrt{5}\right) & -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & \frac{3}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(-5-\sqrt{5}\right) & \sqrt{\frac{2}{5+\sqrt{5}}} & \frac{3}{2 \sqrt{5}} \\
+ -\frac{1}{\sqrt{5}} & -\sqrt{1+\frac{2}{\sqrt{5}}} & \frac{1}{2 \sqrt{5}} \\
+ -\frac{1}{\sqrt{5}} & \sqrt{1+\frac{2}{\sqrt{5}}} & \frac{1}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(\sqrt{5}-5\right) & -\sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & -\frac{3}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(\sqrt{5}-5\right) & \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & -\frac{3}{2 \sqrt{5}} \\
+ 0 & 0 & -\frac{\sqrt{5}}{2} \\
+ 0 & 0 & \frac{\sqrt{5}}{2} \\
+ \frac{1}{10} \left(5-\sqrt{5}\right) & -\sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{3}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(5-\sqrt{5}\right) & \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{3}{2 \sqrt{5}} \\
+ \frac{1}{\sqrt{5}} & -\sqrt{1+\frac{2}{\sqrt{5}}} & -\frac{1}{2 \sqrt{5}} \\
+ \frac{1}{\sqrt{5}} & \sqrt{1+\frac{2}{\sqrt{5}}} & -\frac{1}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(5+\sqrt{5}\right) & -\sqrt{\frac{1}{10} \left(5-\sqrt{5}\right)} & -\frac{3}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(5+\sqrt{5}\right) & \sqrt{\frac{2}{5+\sqrt{5}}} & -\frac{3}{2 \sqrt{5}} \\
+ \frac{2}{\sqrt{5}} & 0 & \frac{3}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(5+3 \sqrt{5}\right) & -\sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{2 \sqrt{5}} \\
+ \frac{1}{10} \left(5+3 \sqrt{5}\right) & \sqrt{\frac{1}{10} \left(5+\sqrt{5}\right)} & \frac{1}{2 \sqrt{5}} \\
+ 1+\frac{1}{\sqrt{5}} & 0 & -\frac{1}{2 \sqrt{5}} \\
+\end{array}
+\right)$. Determine the FaceCount.
+Answer:
+$20$
\ No newline at end of file