diff --git a/pretraining/mathematica/geometry/solids/10506.txt b/pretraining/mathematica/geometry/solids/10506.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8a3e9da5da8a2e12cbce6b7fbcecda9a0bbd6ce7
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/10506.txt
@@ -0,0 +1,49 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -1. & 0. & 0. \\
+ -0.707 & -0.707 & 0. \\
+ -0.707 & -0.5 & 0. \\
+ -0.707 & 0. & -0.707 \\
+ -0.707 & 0. & -0.5 \\
+ -0.707 & 0. & 0.5 \\
+ -0.707 & 0. & 0.707 \\
+ -0.707 & 0.5 & 0. \\
+ -0.707 & 0.707 & 0. \\
+ -0.5 & -0.707 & 0. \\
+ -0.5 & 0. & -0.707 \\
+ -0.5 & 0. & 0.707 \\
+ -0.5 & 0.707 & 0. \\
+ 0. & -1. & 0. \\
+ 0. & -0.707 & -0.707 \\
+ 0. & -0.707 & -0.5 \\
+ 0. & -0.707 & 0.5 \\
+ 0. & -0.707 & 0.707 \\
+ 0. & -0.5 & -0.707 \\
+ 0. & -0.5 & 0.707 \\
+ 0. & 0. & -1. \\
+ 0. & 0. & 1. \\
+ 0. & 0.5 & -0.707 \\
+ 0. & 0.5 & 0.707 \\
+ 0. & 0.707 & -0.707 \\
+ 0. & 0.707 & -0.5 \\
+ 0. & 0.707 & 0.5 \\
+ 0. & 0.707 & 0.707 \\
+ 0. & 1. & 0. \\
+ 0.5 & -0.707 & 0. \\
+ 0.5 & 0. & -0.707 \\
+ 0.5 & 0. & 0.707 \\
+ 0.5 & 0.707 & 0. \\
+ 0.707 & -0.707 & 0. \\
+ 0.707 & -0.5 & 0. \\
+ 0.707 & 0. & -0.707 \\
+ 0.707 & 0. & -0.5 \\
+ 0.707 & 0. & 0.5 \\
+ 0.707 & 0. & 0.707 \\
+ 0.707 & 0.5 & 0. \\
+ 0.707 & 0.707 & 0. \\
+ 1. & 0. & 0. \\
+\end{array}
+\right)$. Determine the SurfaceArea.
+Answer:
+$38.78$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/10600.txt b/pretraining/mathematica/geometry/solids/10600.txt
new file mode 100644
index 0000000000000000000000000000000000000000..662182c8e42ef1dcc951f06f4895b3a0b4778e30
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/10600.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.487 & 0.997 & 0.718 \\
+ 0.632 & 0.109 & 0.751 \\
+ 0.471 & 0.758 & 0.281 \\
+ 0.044 & 0.403 & 0.418 \\
+ 0.67 & 0.419 & 0.01 \\
+ 0.13 & 0.742 & 0.593 \\
+ 0.996 & 0.172 & 0.166 \\
+ 0.033 & 0.209 & 0.436 \\
+ 0.648 & 0.525 & 0.968 \\
+ 0.041 & 0.558 & 0.352 \\
+\end{array}
+\right)$. 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: $2.03$ 
+Solid Angle: $1.23$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/11332.txt b/pretraining/mathematica/geometry/solids/11332.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dafe76b3565f30b191c938fafa1199132ad019b8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/11332.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.188 & 0.36 & 0.691 \\
+ 0.499 & 0.322 & 0.83 \\
+ 0.808 & 0.5 & 0.369 \\
+ 0.095 & 0.261 & 0.098 \\
+ 0.586 & 0.856 & 0.607 \\
+\end{array}
+\right)$. 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: $0.93$ 
+Solid Angle: $1.51$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/11801.txt b/pretraining/mathematica/geometry/solids/11801.txt
new file mode 100644
index 0000000000000000000000000000000000000000..314fcb8cddb2b33498a597c246876dcabd39bc9f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/11801.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.038 & 0.375 & 0.58 \\
+ 0.678 & 0.318 & 0.157 \\
+ 0.119 & 0.46 & 0.395 \\
+ 0.553 & 0.492 & 0.82 \\
+\end{array}
+\right)$. 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: $0.42$ 
+Surface Area: $0.49$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/13999.txt b/pretraining/mathematica/geometry/solids/13999.txt
new file mode 100644
index 0000000000000000000000000000000000000000..131ac8d2e0c469abcc1c2a6b7fe2c5a6a9189b3f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/13999.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.834 & 0.218 & 0.132 \\
+ 0.589 & 0.263 & 0.794 \\
+ 0.899 & 0.779 & 0.982 \\
+ 0.723 & 0.209 & 0.725 \\
+ 0.525 & 0.276 & 0.963 \\
+ 0.424 & 0.938 & 0.905 \\
+ 0.867 & 0.879 & 0.415 \\
+\end{array}
+\right)$. 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: $1.35$ 
+Solid Angle: $0.34$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/14407.txt b/pretraining/mathematica/geometry/solids/14407.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5f0ce367eeb2d02341a43d6e85c048a91ef62368
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/14407.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.504 & 0.552 & 0.596 \\
+ 0.084 & 0.34 & 0.409 \\
+ 0.619 & 0.937 & 0.905 \\
+ 0.254 & 0.557 & 0.297 \\
+\end{array}
+\right)$. 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: $1.4$ 
+Surface Area: $0.34$ 
+Volume: $0.01$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/14737.txt b/pretraining/mathematica/geometry/solids/14737.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1c4317cdb1aa8a6610767f374d35507133452b75
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/14737.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.931 & 0.811 & 0.3 \\
+ 0.85 & 0.989 & 0.939 \\
+ 0.856 & 0.189 & 0.842 \\
+ 0.513 & 0.034 & 0.245 \\
+ 0.913 & 0.521 & 0.405 \\
+ 0.301 & 0.91 & 0.685 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.12$ 
+Solid Angle: $1.28$ 
+Surface Area: $1.61$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/16999.txt b/pretraining/mathematica/geometry/solids/16999.txt
new file mode 100644
index 0000000000000000000000000000000000000000..742f64d1aa9f5b98589707a565e3d89db037a62c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/16999.txt
@@ -0,0 +1,52 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -0.5 & 0.289 & -2.157 \\
+ -0.5 & -1.223 & 1.8 \\
+ -0.5 & 1.223 & -1.8 \\
+ -0.5 & -0.289 & 2.157 \\
+ -0.5 & -1.8 & -1.223 \\
+ -0.5 & 2.157 & 0.289 \\
+ -0.5 & 1.8 & 1.223 \\
+ 0. & -0.577 & -2.157 \\
+ 0. & 1.868 & -1.223 \\
+ 0. & 0.577 & 2.157 \\
+ 0.5 & 0.289 & -2.157 \\
+ 0.5 & -1.223 & 1.8 \\
+ 0.5 & 1.223 & -1.8 \\
+ 0.5 & -0.289 & 2.157 \\
+ 0.5 & -1.8 & -1.223 \\
+ 0.5 & 2.157 & 0.289 \\
+ 0.5 & 1.8 & 1.223 \\
+ -1.809 & 0.467 & -1.223 \\
+ -1.809 & -0.467 & 1.223 \\
+ -0.809 & -1.044 & -1.8 \\
+ -0.809 & 1.979 & -0.645 \\
+ -0.809 & 1.044 & 1.8 \\
+ -1.618 & -0.934 & -1.223 \\
+ -1.618 & -1.512 & 0.289 \\
+ -2.118 & -0.289 & -0.645 \\
+ -2.118 & -0.645 & 0.289 \\
+ -1.309 & -1.69 & -0.645 \\
+ -1.309 & -0.178 & -1.8 \\
+ -1.309 & -1.333 & 1.223 \\
+ -1.309 & 1.333 & -1.223 \\
+ -1.309 & 0.178 & 1.8 \\
+ 0.809 & -1.044 & -1.8 \\
+ 0.809 & 1.979 & -0.645 \\
+ 0.809 & 1.044 & 1.8 \\
+ 1.618 & -0.934 & -1.223 \\
+ 1.618 & -1.512 & 0.289 \\
+ 2.118 & -0.289 & -0.645 \\
+ 2.118 & -0.645 & 0.289 \\
+ 1.309 & -1.69 & -0.645 \\
+ 1.309 & -0.178 & -1.8 \\
+ 1.309 & -1.333 & 1.223 \\
+ 1.309 & 1.333 & -1.223 \\
+ 1.309 & 0.178 & 1.8 \\
+ 1.809 & 0.467 & -1.223 \\
+ 1.809 & -0.467 & 1.223 \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$75.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/17262.txt b/pretraining/mathematica/geometry/solids/17262.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b9e35f5a2030124d2c808c8632120cbb9debfc45
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/17262.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -1. & 0. & -0.5 \\
+ -1. & 0. & 0.5 \\
+ -0.5 & -0.866 & -0.5 \\
+ -0.5 & -0.866 & 0.5 \\
+ -0.5 & 0.866 & -0.5 \\
+ -0.5 & 0.866 & 0.5 \\
+ 0.5 & -0.866 & -0.5 \\
+ 0.5 & -0.866 & 0.5 \\
+ 0.5 & 0.866 & -0.5 \\
+ 0.5 & 0.866 & 0.5 \\
+ 1. & 0. & -0.5 \\
+ 1. & 0. & 0.5 \\
+ 1.362 & 0.787 & 0. \\
+\end{array}
+\right)$. Determine the SurfaceArea.
+Answer:
+$11.93$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/17450.txt b/pretraining/mathematica/geometry/solids/17450.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3f65a8f609f3066d8283d5822f7f1903ef34ce3c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/17450.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.884 & 0.577 & 0.074 \\
+ 0.066 & 0.521 & 0.609 \\
+ 0.167 & 0.099 & 0.324 \\
+ 0.846 & 0.398 & 0.037 \\
+\end{array}
+\right)$. 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: $0.59$ 
+Volume: $0.$ 
+Solid Angle: $0.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/18810.txt b/pretraining/mathematica/geometry/solids/18810.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ae1c345bcc440e46be5692078fccc0a1e4b2558f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/18810.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.419 & 0.305 & 0.093 \\
+ 0.864 & 0.026 & 0.945 \\
+ 0.448 & 0.521 & 0.088 \\
+ 0.267 & 0.694 & 0.484 \\
+ 0.303 & 0.098 & 0.991 \\
+ 0.803 & 0.707 & 0.088 \\
+ 0.674 & 0.036 & 0.421 \\
+ 0.76 & 0.423 & 0.927 \\
+ 0.272 & 0.039 & 0.97 \\
+ 0.289 & 0.95 & 0.891 \\
+\end{array}
+\right)$. 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: $2.22$ 
+Volume: $0.23$ 
+Solid Angle: $2.07$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/20678.txt b/pretraining/mathematica/geometry/solids/20678.txt
new file mode 100644
index 0000000000000000000000000000000000000000..312a0d9a33fdc1adc22829781d81b6a68c39e1da
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/20678.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.435 & 0.835 & 0.088 \\
+ 0.284 & 0.19 & 0.106 \\
+ 0.139 & 0.845 & 0.066 \\
+ 0.489 & 0.856 & 0.494 \\
+ 0.708 & 0.365 & 0.275 \\
+ 0.308 & 0.103 & 0.52 \\
+ 0.298 & 0.888 & 0.173 \\
+\end{array}
+\right)$. 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: $0.06$ 
+Solid Angle: $2.43$ 
+Surface Area: $1.01$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/20902.txt b/pretraining/mathematica/geometry/solids/20902.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d2f60362e0591c3fbcbed00581494b3461f82329
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/20902.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.929 & 0.982 & 0.491 \\
+ 0.026 & 0.478 & 0.919 \\
+ 0.849 & 0.94 & 0.456 \\
+ 0.459 & 0.351 & 0.411 \\
+ 0.136 & 0.56 & 0.439 \\
+ 0.642 & 0.322 & 0.243 \\
+ 0.942 & 0.442 & 0.84 \\
+ 0.041 & 0.64 & 0.966 \\
+ 0.955 & 0.709 & 0.91 \\
+\end{array}
+\right)$. 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: $1.65$ 
+Solid Angle: $1.09$ 
+Volume: $0.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/23641.txt b/pretraining/mathematica/geometry/solids/23641.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2d408fd3d19cf0fdfbe31888ff3573dd89658d03
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/23641.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.833 & 0.692 & 0.572 \\
+ 0.363 & 0.469 & 0.165 \\
+ 0.217 & 0.228 & 0.061 \\
+ 0.237 & 0.673 & 0.381 \\
+ 0.205 & 0.723 & 0.717 \\
+ 0.84 & 0.228 & 0.366 \\
+ 0.041 & 0.099 & 0.797 \\
+ 0.981 & 0.661 & 0.713 \\
+\end{array}
+\right)$. 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: $3.35$ 
+Surface Area: $1.65$ 
+Volume: $0.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/23942.txt b/pretraining/mathematica/geometry/solids/23942.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c188d9e2f12c202cd79c956521e548594074386c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/23942.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.366 & 0.256 & 0.906 \\
+ 0.822 & 0.895 & 0.148 \\
+ 0.072 & 0.902 & 0.433 \\
+ 0.703 & 0.235 & 0.144 \\
+ 0.403 & 0.061 & 0.223 \\
+ 0.235 & 0.403 & 0.019 \\
+\end{array}
+\right)$. 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: $1.65$ 
+Solid Angle: $0.6$ 
+Volume: $0.13$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/26034.txt b/pretraining/mathematica/geometry/solids/26034.txt
new file mode 100644
index 0000000000000000000000000000000000000000..58a36a28585256552af4b0d962c284b95265d776
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/26034.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.024 & 0.799 & 0.562 \\
+ 0.152 & 0.184 & 0.691 \\
+ 0.829 & 0.3 & 0.347 \\
+ 0.027 & 0.076 & 0.273 \\
+ 0.222 & 0.312 & 0.888 \\
+ 0.709 & 0.965 & 0.83 \\
+ 0.617 & 0.102 & 0.356 \\
+ 0.563 & 0.708 & 0.581 \\
+\end{array}
+\right)$. 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: $0.12$ 
+Surface Area: $1.69$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/26209.txt b/pretraining/mathematica/geometry/solids/26209.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c2315ac5148ba324a743535c22443b2386d9948e
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/26209.txt
@@ -0,0 +1,69 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0 & 0 & -\frac{5}{\sqrt{5+\sqrt{5}}} \\
+ 0 & 0 & \frac{5}{\sqrt{5+\sqrt{5}}} \\
+ 0 & -\frac{5+\sqrt{5}}{2 \sqrt{2}} & 0 \\
+ 0 & \frac{5+\sqrt{5}}{2 \sqrt{2}} & 0 \\
+ -\sqrt{5-\sqrt{5}} & 0 & \frac{\sqrt{5-\sqrt{5}}}{2} \\
+ \sqrt{5-\sqrt{5}} & 0 & -\frac{1}{2} \sqrt{5-\sqrt{5}} \\
+ -\sqrt{\frac{5}{2}-\sqrt{5}} & -\sqrt{\frac{5}{2}} & \frac{\sqrt{5-\sqrt{5}}}{2} \\
+ -\sqrt{\frac{5}{2}-\sqrt{5}} & \sqrt{\frac{5}{2}} & \frac{\sqrt{5-\sqrt{5}}}{2} \\
+ \sqrt{\frac{5}{2}-\sqrt{5}} & -\sqrt{\frac{5}{2}} & -\frac{1}{2} \sqrt{5-\sqrt{5}} \\
+ \sqrt{\frac{5}{2}-\sqrt{5}} & \sqrt{\frac{5}{2}} & -\frac{1}{2} \sqrt{5-\sqrt{5}} \\
+ -\sqrt{\frac{5}{2}+\sqrt{5}} & 0 & -\frac{1}{2} \sqrt{5+\sqrt{5}} \\
+ -\frac{1}{2} \sqrt{5+\sqrt{5}} & 0 & \sqrt{\frac{5}{2}+\sqrt{5}} \\
+ -\frac{1}{2} \sqrt{5+\sqrt{5}} & \frac{\sqrt{5}-5}{2 \sqrt{2}} & -\frac{1}{2} \sqrt{5-\sqrt{5}} \\
+ -\frac{1}{2} \sqrt{5+\sqrt{5}} & -\frac{\sqrt{5}-5}{2 \sqrt{2}} & -\frac{1}{2} \sqrt{5-\sqrt{5}} \\
+ \frac{\sqrt{5+\sqrt{5}}}{2} & 0 & -\sqrt{\frac{5}{2}+\sqrt{5}} \\
+ \frac{\sqrt{5+\sqrt{5}}}{2} & \frac{\sqrt{5}-5}{2 \sqrt{2}} & \frac{\sqrt{5-\sqrt{5}}}{2} \\
+ \frac{\sqrt{5+\sqrt{5}}}{2} & -\frac{\sqrt{5}-5}{2 \sqrt{2}} & \frac{\sqrt{5-\sqrt{5}}}{2} \\
+ \sqrt{\frac{5}{2}+\sqrt{5}} & 0 & \frac{\sqrt{5+\sqrt{5}}}{2} \\
+ -\frac{1}{2} \sqrt{\frac{25}{2}+5 \sqrt{5}} & -\frac{\sqrt{\frac{5}{2}}}{2} & 0 \\
+ -\frac{1}{2} \sqrt{\frac{25}{2}+5 \sqrt{5}} & \frac{\sqrt{\frac{5}{2}}}{2} & 0 \\
+ -\frac{1}{4} \sqrt{5 \left(5+\sqrt{5}\right)} & -\frac{5+3 \sqrt{5}}{4 \sqrt{2}} & 0 \\
+ -\frac{1}{4} \sqrt{5 \left(5+\sqrt{5}\right)} & \frac{5+3 \sqrt{5}}{4 \sqrt{2}} & 0 \\
+ \frac{1}{4} \sqrt{5 \left(5+\sqrt{5}\right)} & -\frac{5+3 \sqrt{5}}{4 \sqrt{2}} & 0 \\
+ \frac{1}{4} \sqrt{5 \left(5+\sqrt{5}\right)} & \frac{5+3 \sqrt{5}}{4 \sqrt{2}} & 0 \\
+ \sqrt{\frac{25}{8}+\frac{5 \sqrt{5}}{4}} & -\frac{\sqrt{\frac{5}{2}}}{2} & 0 \\
+ \sqrt{\frac{25}{8}+\frac{5 \sqrt{5}}{4}} & \frac{\sqrt{\frac{5}{2}}}{2} & 0 \\
+ -\sqrt{2+\frac{4}{\sqrt{5}}} & 0 & -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{5}}} \\
+ -\sqrt{1+\frac{1}{\sqrt{5}}} & 0 & -\frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ \sqrt{1+\frac{1}{\sqrt{5}}} & 0 & \frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ \sqrt{2+\frac{4}{\sqrt{5}}} & 0 & \frac{1}{\sqrt{5+\sqrt{5}}} \\
+ -\frac{1}{4} \sqrt{25+11 \sqrt{5}} & -\frac{5+\sqrt{5}}{4 \sqrt{2}} & \frac{\sqrt{5+\sqrt{5}}}{2} \\
+ -\frac{1}{4} \sqrt{25+11 \sqrt{5}} & \frac{5+\sqrt{5}}{4 \sqrt{2}} & \frac{\sqrt{5+\sqrt{5}}}{2} \\
+ -\frac{1}{4} \sqrt{5-\sqrt{5}} & -\frac{5+\sqrt{5}}{4 \sqrt{2}} & \sqrt{\frac{5}{2}+\sqrt{5}} \\
+ -\frac{1}{4} \sqrt{5-\sqrt{5}} & \frac{5+\sqrt{5}}{4 \sqrt{2}} & \sqrt{\frac{5}{2}+\sqrt{5}} \\
+ \frac{\sqrt{5-\sqrt{5}}}{4} & -\frac{5+\sqrt{5}}{4 \sqrt{2}} & -\sqrt{\frac{5}{2}+\sqrt{5}} \\
+ \frac{\sqrt{5-\sqrt{5}}}{4} & \frac{5+\sqrt{5}}{4 \sqrt{2}} & -\sqrt{\frac{5}{2}+\sqrt{5}} \\
+ \frac{1}{4} \sqrt{25+11 \sqrt{5}} & -\frac{5+\sqrt{5}}{4 \sqrt{2}} & -\frac{1}{2} \sqrt{5+\sqrt{5}} \\
+ \frac{1}{4} \sqrt{25+11 \sqrt{5}} & \frac{5+\sqrt{5}}{4 \sqrt{2}} & -\frac{1}{2} \sqrt{5+\sqrt{5}} \\
+ -\frac{1}{2} \sqrt{\frac{5}{2}+\sqrt{5}} & -\frac{\sqrt{\frac{5}{2}}}{2} & -\sqrt{\frac{5}{2}+\sqrt{5}} \\
+ -\frac{1}{2} \sqrt{\frac{5}{2}+\sqrt{5}} & \frac{\sqrt{\frac{5}{2}}}{2} & -\sqrt{\frac{5}{2}+\sqrt{5}} \\
+ -\frac{1}{4} \sqrt{5+\sqrt{5}} & -\frac{5+3 \sqrt{5}}{4 \sqrt{2}} & -\frac{1}{2} \sqrt{5+\sqrt{5}} \\
+ -\frac{1}{4} \sqrt{5+\sqrt{5}} & \frac{5+3 \sqrt{5}}{4 \sqrt{2}} & -\frac{1}{2} \sqrt{5+\sqrt{5}} \\
+ \frac{\sqrt{5+\sqrt{5}}}{4} & -\frac{5+3 \sqrt{5}}{4 \sqrt{2}} & \frac{\sqrt{5+\sqrt{5}}}{2} \\
+ \frac{\sqrt{5+\sqrt{5}}}{4} & \frac{5+3 \sqrt{5}}{4 \sqrt{2}} & \frac{\sqrt{5+\sqrt{5}}}{2} \\
+ \frac{1}{2} \sqrt{\frac{5}{2}+\sqrt{5}} & -\frac{\sqrt{\frac{5}{2}}}{2} & \sqrt{\frac{5}{2}+\sqrt{5}} \\
+ \frac{1}{2} \sqrt{\frac{5}{2}+\sqrt{5}} & \frac{\sqrt{\frac{5}{2}}}{2} & \sqrt{\frac{5}{2}+\sqrt{5}} \\
+ -\frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} & -\frac{1}{2} \sqrt{3+\sqrt{5}} & \frac{1}{\sqrt{5+\sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} & \frac{\sqrt{3+\sqrt{5}}}{2} & \frac{1}{\sqrt{5+\sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{5}}} & -\frac{1}{2} \sqrt{3+\sqrt{5}} & -\frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{5}}} & \frac{\sqrt{3+\sqrt{5}}}{2} & -\frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ \frac{1}{\sqrt{5+\sqrt{5}}} & -\frac{1}{2} \sqrt{3+\sqrt{5}} & \frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ \frac{1}{\sqrt{5+\sqrt{5}}} & \frac{\sqrt{3+\sqrt{5}}}{2} & \frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ \frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} & -\frac{1}{2} \sqrt{3+\sqrt{5}} & -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{5}}} \\
+ \frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} & \frac{\sqrt{3+\sqrt{5}}}{2} & -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{5}}} \\
+ -\sqrt{\frac{1}{2}+\frac{1}{\sqrt{5}}} & -\frac{1}{\sqrt{2}} & \frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ -\sqrt{\frac{1}{2}+\frac{1}{\sqrt{5}}} & \frac{1}{\sqrt{2}} & \frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{1+\frac{1}{\sqrt{5}}} & -\frac{3+\sqrt{5}}{2 \sqrt{2}} & -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{5}}} \\
+ -\frac{1}{2} \sqrt{1+\frac{1}{\sqrt{5}}} & \frac{3+\sqrt{5}}{2 \sqrt{2}} & -\frac{1}{2} \sqrt{1-\frac{1}{\sqrt{5}}} \\
+ \frac{1}{\sqrt{5-\sqrt{5}}} & -\frac{3+\sqrt{5}}{2 \sqrt{2}} & \frac{1}{\sqrt{5+\sqrt{5}}} \\
+ \frac{1}{\sqrt{5-\sqrt{5}}} & \frac{3+\sqrt{5}}{2 \sqrt{2}} & \frac{1}{\sqrt{5+\sqrt{5}}} \\
+ \sqrt{\frac{1}{2}+\frac{1}{\sqrt{5}}} & -\frac{1}{\sqrt{2}} & -\frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+ \sqrt{\frac{1}{2}+\frac{1}{\sqrt{5}}} & \frac{1}{\sqrt{2}} & -\frac{1}{2} \sqrt{5+\frac{11}{\sqrt{5}}} \\
+\end{array}
+\right)$. Determine the FaceCount.
+Answer:
+$120$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/27271.txt b/pretraining/mathematica/geometry/solids/27271.txt
new file mode 100644
index 0000000000000000000000000000000000000000..da6b90577489d706f6cf9e7b89b62c000c6e82f0
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/27271.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.846 & 0.464 & 0.947 \\
+ 0.202 & 0.557 & 0.794 \\
+ 0.235 & 0.373 & 0.609 \\
+ 0.827 & 0.847 & 0.775 \\
+ 0.617 & 0.637 & 0.08 \\
+ 0.334 & 0.481 & 0.214 \\
+ 0.328 & 0.115 & 0.279 \\
+ 0.37 & 0.623 & 0.438 \\
+\end{array}
+\right)$. 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: $0.94$ 
+Volume: $0.09$ 
+Surface Area: $1.32$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/28998.txt b/pretraining/mathematica/geometry/solids/28998.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9237da3ec16018c5ea7fa763b65e222313513696
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/28998.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.963 & 0.241 & 0.791 \\
+ 0.782 & 0.849 & 0.561 \\
+ 0.939 & 0.257 & 0.37 \\
+ 0.449 & 0.252 & 0.049 \\
+ 0.967 & 0.479 & 0.439 \\
+ 0.217 & 0.546 & 0.019 \\
+ 0.645 & 0.877 & 0.125 \\
+ 0.465 & 0.647 & 0.338 \\
+ 0.803 & 0.983 & 0.193 \\
+\end{array}
+\right)$. 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: $0.58$ 
+Volume: $0.09$ 
+Surface Area: $1.34$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/31345.txt b/pretraining/mathematica/geometry/solids/31345.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f490400abb4337d9fb0fd9c9460b9f2de021b26b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/31345.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.707 & 0.214 & 0.023 \\
+ 0.819 & 0.44 & 0.486 \\
+ 0.695 & 0.768 & 0.422 \\
+ 0.818 & 0.139 & 0.463 \\
+ 0.149 & 0.988 & 0.362 \\
+ 0.358 & 0.668 & 0.128 \\
+ 0.184 & 0.377 & 0.303 \\
+ 0.171 & 0.651 & 0.888 \\
+ 0.839 & 0.184 & 0.434 \\
+\end{array}
+\right)$. 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: $1.54$ 
+Volume: $0.13$ 
+Solid Angle: $1.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/32281.txt b/pretraining/mathematica/geometry/solids/32281.txt
new file mode 100644
index 0000000000000000000000000000000000000000..92f1a42fb313601f62e767c1a75e9c8cfbe5fa73
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/32281.txt
@@ -0,0 +1,21 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ \sqrt{2} & 0 & -1 \\
+ \frac{1}{\sqrt{2}} & \sqrt{\frac{3}{2}} & -\frac{1}{2} \\
+ 0 & 0 & -\frac{3}{2} \\
+ \frac{1}{\sqrt{2}} & -\sqrt{\frac{3}{2}} & -\frac{1}{2} \\
+ \sqrt{2} & 0 & 1 \\
+ \frac{1}{\sqrt{2}} & \sqrt{\frac{3}{2}} & \frac{1}{2} \\
+ \frac{1}{\sqrt{2}} & -\sqrt{\frac{3}{2}} & \frac{1}{2} \\
+ -\frac{1}{\sqrt{2}} & \sqrt{\frac{3}{2}} & -1 \\
+ -\frac{1}{\sqrt{2}} & -\sqrt{\frac{3}{2}} & -1 \\
+ 0 & 0 & \frac{3}{2} \\
+ -\sqrt{2} & 0 & -\frac{1}{2} \\
+ -\frac{1}{\sqrt{2}} & \sqrt{\frac{3}{2}} & 1 \\
+ -\frac{1}{\sqrt{2}} & -\sqrt{\frac{3}{2}} & 1 \\
+ -\sqrt{2} & 0 & \frac{1}{2} \\
+\end{array}
+\right)$. Determine the Centroid.
+Answer:
+$\{0,0,0\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/36.txt b/pretraining/mathematica/geometry/solids/36.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1f22145201b60b5707d7166f4c61423070ef0fe1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/36.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.737 & 0.604 & 0.183 \\
+ 0.966 & 0.85 & 0.939 \\
+ 0.894 & 0.537 & 0.087 \\
+ 0.609 & 0.21 & 0.131 \\
+ 0.803 & 0.989 & 0.531 \\
+ 0.829 & 0.095 & 0.562 \\
+ 0.947 & 0.188 & 0.266 \\
+ 0.331 & 0.274 & 0.661 \\
+ 0.494 & 0.563 & 0.685 \\
+\end{array}
+\right)$. 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: $4.21$ 
+Surface Area: $1.54$ 
+Volume: $0.13$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/3690.txt b/pretraining/mathematica/geometry/solids/3690.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ebd5efd6c8ac87066957c34fc1c580a6544dcd55
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/3690.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.757 & 0.655 & 0.934 \\
+ 0.259 & 0.795 & 0.778 \\
+ 0.658 & 0.053 & 0.856 \\
+ 0.173 & 0.055 & 0.562 \\
+ 0.728 & 0.896 & 0.17 \\
+ 0.25 & 0.942 & 0.16 \\
+\end{array}
+\right)$. 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: $1.75$ 
+Volume: $0.13$ 
+Solid Angle: $1.33$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/37631.txt b/pretraining/mathematica/geometry/solids/37631.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7e69da7abacee4fd9c719a676039a453be2bb643
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/37631.txt
@@ -0,0 +1,27 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0. & -1.618 & 0. \\
+ 0. & 1.618 & 0. \\
+ 0.851 & 0. & -0.526 \\
+ 0.851 & 0. & 0.526 \\
+ 0.263 & -0.809 & -0.526 \\
+ 0.263 & -0.809 & 0.526 \\
+ 0.263 & 0.809 & -0.526 \\
+ 0.263 & 0.809 & 0.526 \\
+ -0.951 & -1.309 & 0. \\
+ -0.951 & 1.309 & 0. \\
+ 0.951 & -1.309 & 0. \\
+ 0.951 & 1.309 & 0. \\
+ -0.688 & -0.5 & -0.526 \\
+ -0.688 & -0.5 & 0.526 \\
+ -0.688 & 0.5 & -0.526 \\
+ -0.688 & 0.5 & 0.526 \\
+ -1.539 & -0.5 & 0. \\
+ -1.539 & 0.5 & 0. \\
+ 1.539 & -0.5 & 0. \\
+ 1.539 & 0.5 & 0. \\
+\end{array}
+\right)$. Determine the Volume.
+Answer:
+$4.65$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/3793.txt b/pretraining/mathematica/geometry/solids/3793.txt
new file mode 100644
index 0000000000000000000000000000000000000000..85664b62bc2e3a2747af89ecf58d625ee0ee615a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/3793.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.496 & 0.737 & 0.309 \\
+ 0.284 & 0.167 & 0.477 \\
+ 0.633 & 0.678 & 0.901 \\
+ 0.715 & 0.947 & 0.534 \\
+\end{array}
+\right)$. 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: $0.55$ 
+Volume: $0.$ 
+Solid Angle: $0.2$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/38435.txt b/pretraining/mathematica/geometry/solids/38435.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9d5b305e8265dfcb2c736257e026198979007f39
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/38435.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.288 & 0.977 & 0.916 \\
+ 0.869 & 0.047 & 0.938 \\
+ 0.167 & 0.452 & 0.073 \\
+ 0.851 & 0.737 & 0.845 \\
+ 0.584 & 0.325 & 0.236 \\
+ 0.934 & 0.174 & 0.837 \\
+ 0.591 & 0.376 & 0.207 \\
+ 0.916 & 0.528 & 0.909 \\
+ 0.442 & 0.72 & 0.049 \\
+\end{array}
+\right)$. 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: $1.86$ 
+Solid Angle: $0.72$ 
+Volume: $0.15$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/38653.txt b/pretraining/mathematica/geometry/solids/38653.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5036f09a6fc4c5d07cb2c46565666aec021e33bf
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/38653.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ \frac{1}{2 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & 0 & -\frac{1}{2} \\
+ \frac{1}{2 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & 0 & \frac{1}{2} \\
+ \frac{-1-\sqrt{5}}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & -\frac{1}{2} & -\frac{1}{2} \\
+ \frac{-1-\sqrt{5}}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & -\frac{1}{2} & \frac{1}{2} \\
+ \frac{-1-\sqrt{5}}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & \frac{1}{2} & -\frac{1}{2} \\
+ \frac{-1-\sqrt{5}}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & \frac{1}{2} & \frac{1}{2} \\
+ \frac{\sqrt{5}-1}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & -\frac{1}{2} \sqrt{\frac{\frac{5}{8}+\frac{\sqrt{5}}{8}}{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & -\frac{1}{2} \\
+ \frac{\sqrt{5}-1}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & -\frac{1}{2} \sqrt{\frac{\frac{5}{8}+\frac{\sqrt{5}}{8}}{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & \frac{1}{2} \\
+ \frac{\sqrt{5}-1}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & \frac{1}{2} \sqrt{\frac{\frac{5}{8}+\frac{\sqrt{5}}{8}}{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & -\frac{1}{2} \\
+ \frac{\sqrt{5}-1}{8 \sqrt{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & \frac{1}{2} \sqrt{\frac{\frac{5}{8}+\frac{\sqrt{5}}{8}}{\frac{5}{8}-\frac{\sqrt{5}}{8}}} & \frac{1}{2} \\
+\end{array}
+\right)$. Determine the FaceCount.
+Answer:
+$7$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/41348.txt b/pretraining/mathematica/geometry/solids/41348.txt
new file mode 100644
index 0000000000000000000000000000000000000000..87b0f0d751046669cc207014eb17edaf38e3dcf6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/41348.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.582 & 0.928 & 0.566 \\
+ 0.309 & 0.599 & 0.939 \\
+ 0.655 & 0.06 & 0.203 \\
+ 0.832 & 0.836 & 0.235 \\
+ 0.201 & 0.961 & 0.018 \\
+ 0.919 & 0.619 & 0.687 \\
+ 0.799 & 0.833 & 0.773 \\
+ 0.794 & 0.217 & 0.016 \\
+ 0.405 & 0.141 & 0.514 \\
+ 0.928 & 0.204 & 0.708 \\
+\end{array}
+\right)$. 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:
+Surface Area: $2.27$ 
+Solid Angle: $4.05$ 
+Volume: $0.26$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/41936.txt b/pretraining/mathematica/geometry/solids/41936.txt
new file mode 100644
index 0000000000000000000000000000000000000000..059b33e402f843c89da415b62c9017039e3f92c6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/41936.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -1.225 & -1.225 & 0.408 \\
+ -1.225 & 1.225 & 0. \\
+ -0.408 & -0.816 & 0.816 \\
+ 0. & 0. & 6.124 \\
+ 0.408 & 0.816 & 0.816 \\
+ 1.225 & -1.225 & 0. \\
+ 1.225 & 1.225 & 0.408 \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$21.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/42118.txt b/pretraining/mathematica/geometry/solids/42118.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d9a131c9a6e64a5746e185aa0b927e6c1d835365
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/42118.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.343 & 0.545 & 0.548 \\
+ 0.187 & 0.149 & 0.592 \\
+ 0.242 & 0.232 & 0.812 \\
+ 0.006 & 0.281 & 0.615 \\
+ 0.158 & 0.951 & 0.382 \\
+ 0.24 & 0.747 & 0.09 \\
+ 0.129 & 0.055 & 0.804 \\
+ 0.194 & 0.234 & 0.906 \\
+\end{array}
+\right)$. 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: $0.77$ 
+Volume: $0.03$ 
+Solid Angle: $2.96$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/42178.txt b/pretraining/mathematica/geometry/solids/42178.txt
new file mode 100644
index 0000000000000000000000000000000000000000..582908a0f1456ee327da96d80af4b1b7d5f6b22c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/42178.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.181 & 0.15 & 0.782 \\
+ 0.536 & 0.018 & 0.015 \\
+ 0.528 & 0.088 & 0.038 \\
+ 0.526 & 0.825 & 0.954 \\
+ 0.071 & 0.266 & 0.012 \\
+ 0.652 & 0.06 & 0.187 \\
+ 0.94 & 0.5 & 0.459 \\
+ 0.825 & 0.763 & 0.472 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.15$ 
+Surface Area: $1.82$ 
+Solid Angle: $1.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/4351.txt b/pretraining/mathematica/geometry/solids/4351.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ce8bb4112aa3aa15990368b3a4a4847024cc91b5
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/4351.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.507 & 0.543 & 0.919 \\
+ 0.535 & 0.24 & 0.32 \\
+ 0.075 & 0.968 & 0.529 \\
+ 0.626 & 0.929 & 0.465 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.03$ 
+Surface Area: $0.79$ 
+Solid Angle: $0.59$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/48546.txt b/pretraining/mathematica/geometry/solids/48546.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5a600f35a45dedb22a7bdcb24614c55dc64f4b9c
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/48546.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.503 & 0.481 & 0.153 \\
+ 0.908 & 0.545 & 0.892 \\
+ 0.892 & 0.068 & 0.379 \\
+ 0.729 & 0.814 & 0.118 \\
+ 0.266 & 0.272 & 0.794 \\
+ 0.135 & 0.967 & 0.145 \\
+ 0.458 & 0.256 & 0.382 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $3.96$ 
+Surface Area: $1.76$ 
+Volume: $0.15$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/49275.txt b/pretraining/mathematica/geometry/solids/49275.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ea0d6f5df90e8ccfb0e85a8225871a0fdeef0994
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/49275.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.336 & 0.004 & 0.879 \\
+ 0.128 & 0.179 & 0.224 \\
+ 0.392 & 0.203 & 0.089 \\
+ 0.623 & 0.891 & 0.436 \\
+ 0.223 & 0.367 & 0.196 \\
+ 0.718 & 0.634 & 0.796 \\
+ 0.067 & 0.942 & 0.626 \\
+ 0.148 & 0.408 & 0.542 \\
+ 0.222 & 0.936 & 0.96 \\
+ 0.409 & 0.443 & 0.043 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $0.86$ 
+Surface Area: $1.97$ 
+Volume: $0.19$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/49338.txt b/pretraining/mathematica/geometry/solids/49338.txt
new file mode 100644
index 0000000000000000000000000000000000000000..23221095f972cf063204cbe761faeca43576be54
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/49338.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.914 & 0.365 & 0.09 \\
+ 0.186 & 0.359 & 0.601 \\
+ 0.617 & 0.989 & 0.314 \\
+ 0.573 & 0.702 & 0.563 \\
+ 0.824 & 0.483 & 0.003 \\
+ 0.585 & 0.143 & 0.381 \\
+ 0.68 & 0.341 & 0.516 \\
+\end{array}
+\right)$. 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: $0.05$ 
+Solid Angle: $1.2$ 
+Surface Area: $0.97$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/50676.txt b/pretraining/mathematica/geometry/solids/50676.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e0e96addd6e230f1057fd93e4b0df4ac900e9467
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/50676.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.876 & 0.207 & 0.152 \\
+ 0.129 & 0.898 & 0.544 \\
+ 0.444 & 0.377 & 0.933 \\
+ 0.941 & 0.929 & 0.949 \\
+ 0.106 & 0.193 & 0.158 \\
+ 0.322 & 0.656 & 0.993 \\
+ 0.116 & 0.348 & 0.792 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.19$ 
+Surface Area: $2.15$ 
+Solid Angle: $0.61$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/53090.txt b/pretraining/mathematica/geometry/solids/53090.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0ed214815e99933ca60facb6eaf301091276891b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/53090.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.48 & 0.696 & 0.497 \\
+ 0.717 & 0.161 & 0.774 \\
+ 0.174 & 0.089 & 0.661 \\
+ 0.94 & 0.905 & 0.539 \\
+ 0.792 & 0.08 & 0.947 \\
+\end{array}
+\right)$. 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: $0.19$ 
+Volume: $0.01$ 
+Surface Area: $0.89$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54383.txt b/pretraining/mathematica/geometry/solids/54383.txt
new file mode 100644
index 0000000000000000000000000000000000000000..00adb1a1b23907ae7338f1b4e37686442a32c46f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54383.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.652 & 0.615 & 0.272 \\
+ 0.804 & 0.346 & 0.217 \\
+ 0.159 & 0.967 & 0.652 \\
+ 0.878 & 0.361 & 0.198 \\
+ 0.865 & 0.396 & 0.836 \\
+ 0.131 & 0.333 & 0.592 \\
+ 0.029 & 0.026 & 0.68 \\
+ 0.886 & 0.833 & 0.612 \\
+\end{array}
+\right)$. 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: $3.38$ 
+Surface Area: $1.73$ 
+Volume: $0.13$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/54673.txt b/pretraining/mathematica/geometry/solids/54673.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c5e91b1939e417b17b4a86b0abf8f0f94d8f9287
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/54673.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.12 & 0.549 & 0.99 \\
+ 0.061 & 0.47 & 0.782 \\
+ 0.127 & 0.186 & 0.769 \\
+ 0.683 & 0.944 & 0.85 \\
+ 0.547 & 0.586 & 0.134 \\
+ 0.836 & 0.579 & 0.017 \\
+ 0.225 & 0.148 & 0.136 \\
+ 0.162 & 0.191 & 0.437 \\
+ 0.039 & 0.434 & 0.481 \\
+ 0.355 & 0.694 & 0.326 \\
+\end{array}
+\right)$. 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: $1.77$ 
+Volume: $0.11$ 
+Solid Angle: $1.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/55540.txt b/pretraining/mathematica/geometry/solids/55540.txt
new file mode 100644
index 0000000000000000000000000000000000000000..abbc8ac25ce7c410877bda2964b38e7d61c81ae2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/55540.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.662 & 0.396 & 0.217 \\
+ 0.77 & 0.617 & 0.63 \\
+ 0.047 & 0.475 & 0.804 \\
+ 0.935 & 0.344 & 0.9 \\
+ 0.754 & 0.254 & 0.553 \\
+ 0.286 & 0.836 & 0.489 \\
+ 0.498 & 0.874 & 0.595 \\
+ 0.348 & 0.953 & 0.821 \\
+ 0.649 & 0.115 & 0.874 \\
+ 0.271 & 0.167 & 0.725 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.13$ 
+Surface Area: $1.54$ 
+Solid Angle: $1.18$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/5728.txt b/pretraining/mathematica/geometry/solids/5728.txt
new file mode 100644
index 0000000000000000000000000000000000000000..42a9acea1dedc61a20c3380e225cc3bd54d9763d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/5728.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.153 & 0.614 & 0.955 \\
+ 0.061 & 0.473 & 0.492 \\
+ 0.297 & 0.558 & 0.958 \\
+ 0.837 & 0.871 & 0.578 \\
+ 0.966 & 0.337 & 0.538 \\
+ 0.344 & 0.851 & 0.42 \\
+ 0.567 & 0.847 & 0.194 \\
+ 0.096 & 0.055 & 0.798 \\
+ 0.447 & 0.498 & 0.88 \\
+ 0.731 & 0.748 & 0.669 \\
+ 0.835 & 0.015 & 0.298 \\
+\end{array}
+\right)$. 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: $2.04$ 
+Solid Angle: $1.91$ 
+Volume: $0.2$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/577.txt b/pretraining/mathematica/geometry/solids/577.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0d23cd112549b331235ff697dba9c631d1d4d6de
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/577.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.027 & 0.518 & 0.405 \\
+ 0.815 & 0.259 & 0.305 \\
+ 0.693 & 0.996 & 0.864 \\
+ 0.532 & 0.584 & 0.835 \\
+ 0.376 & 0.738 & 0.112 \\
+ 0.372 & 0.222 & 0.496 \\
+ 0.326 & 0.624 & 0.069 \\
+ 0.12 & 0.423 & 0.499 \\
+ 0.395 & 0.315 & 0.031 \\
+ 0.287 & 0.013 & 0.254 \\
+ 0.611 & 0.742 & 0.248 \\
+\end{array}
+\right)$. 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: $1.65$ 
+Solid Angle: $1.99$ 
+Volume: $0.15$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/58367.txt b/pretraining/mathematica/geometry/solids/58367.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ab66965333592a7c20a56c285fa1fdab46c7d341
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/58367.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.212 & 0.867 & 0.198 \\
+ 0.751 & 0.09 & 0.661 \\
+ 0.497 & 0.511 & 0.654 \\
+ 0.526 & 0.134 & 0.7 \\
+ 0.963 & 0.016 & 0.027 \\
+ 0.356 & 0.458 & 0.259 \\
+\end{array}
+\right)$. 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: $0.21$ 
+Surface Area: $1.08$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/58701.txt b/pretraining/mathematica/geometry/solids/58701.txt
new file mode 100644
index 0000000000000000000000000000000000000000..17048d8851ebf4ac8b4cb9e5b9a9898d3e57d276
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/58701.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.297 & 0.419 & 0.065 \\
+ 0.978 & 0.516 & 0.615 \\
+ 0.566 & 0.85 & 0.551 \\
+ 0.349 & 0.437 & 0.821 \\
+ 0.175 & 0.132 & 0.763 \\
+ 0.614 & 0.056 & 0.838 \\
+ 0.12 & 0.584 & 0.321 \\
+ 0.104 & 0.35 & 0.815 \\
+ 0.874 & 0.151 & 0.118 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.18$ 
+Surface Area: $1.86$ 
+Solid Angle: $1.58$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/59209.txt b/pretraining/mathematica/geometry/solids/59209.txt
new file mode 100644
index 0000000000000000000000000000000000000000..695d258218b1ccb050fdf322e67a619087e8f227
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/59209.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.866 & 0.395 & 0.635 \\
+ 0.408 & 0.105 & 0.162 \\
+ 0.531 & 0.905 & 0.786 \\
+ 0.221 & 0.675 & 0.092 \\
+ 0.014 & 0.233 & 0.406 \\
+ 0.616 & 0.036 & 0.047 \\
+ 0.284 & 0.814 & 0.76 \\
+\end{array}
+\right)$. 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: $0.76$ 
+Volume: $0.11$ 
+Surface Area: $1.58$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/6150.txt b/pretraining/mathematica/geometry/solids/6150.txt
new file mode 100644
index 0000000000000000000000000000000000000000..73030882606c65cc674ab1130e1b7e153007e2ff
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/6150.txt
@@ -0,0 +1,21 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ -0.707 & -0.408 & -0.289 \\
+ -0.707 & -0.408 & 0.289 \\
+ -0.707 & 0.408 & -0.289 \\
+ -0.707 & 0.408 & 0.289 \\
+ 0. & -0.816 & -0.289 \\
+ 0. & -0.816 & 0.289 \\
+ 0. & 0. & -0.866 \\
+ 0. & 0. & 0.866 \\
+ 0. & 0.816 & -0.289 \\
+ 0. & 0.816 & 0.289 \\
+ 0.707 & -0.408 & -0.289 \\
+ 0.707 & -0.408 & 0.289 \\
+ 0.707 & 0.408 & -0.289 \\
+ 0.707 & 0.408 & 0.289 \\
+\end{array}
+\right)$. Determine the EdgeCount.
+Answer:
+$24.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/65133.txt b/pretraining/mathematica/geometry/solids/65133.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dccd9900f377861eb659661e040f7f5778788202
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/65133.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.313 & 0.997 & 0.118 \\
+ 0.32 & 0.759 & 0.448 \\
+ 0.22 & 0.701 & 0.683 \\
+ 0.723 & 0.255 & 0.339 \\
+ 0.597 & 0.491 & 0.391 \\
+\end{array}
+\right)$. 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: $0.49$ 
+Volume: $0.$ 
+Solid Angle: $0.04$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/6563.txt b/pretraining/mathematica/geometry/solids/6563.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e8ef79c5fa600d5d7fc141fa08cfc34844b4cf8b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/6563.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.079 & 0.046 & 0.683 \\
+ 0.729 & 0.71 & 0.54 \\
+ 0.141 & 0.721 & 0.785 \\
+ 0.153 & 0.588 & 0.041 \\
+ 0.31 & 0.948 & 0.672 \\
+ 0.392 & 0.816 & 0.322 \\
+ 0.86 & 0.573 & 0.068 \\
+ 0.786 & 0.158 & 0.048 \\
+ 0.731 & 0.19 & 0.192 \\
+ 0.04 & 0.279 & 0.864 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.19$ 
+Surface Area: $2.02$ 
+Solid Angle: $1.02$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/65895.txt b/pretraining/mathematica/geometry/solids/65895.txt
new file mode 100644
index 0000000000000000000000000000000000000000..aa8066b450dbd88707d98507cbab832e8218369a
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/65895.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.7 & 0.98 & 0.356 \\
+ 0.567 & 0.531 & 0.808 \\
+ 0.798 & 0.297 & 0.394 \\
+ 0.322 & 0.511 & 0.545 \\
+ 0.677 & 0.333 & 0.812 \\
+\end{array}
+\right)$. 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:
+Volume: $0.03$ 
+Solid Angle: $0.27$ 
+Surface Area: $0.63$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/66016.txt b/pretraining/mathematica/geometry/solids/66016.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cc694e596b2d2d22161ec20b44ebb74147fbc045
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/66016.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.723 & 0.925 & 0.281 \\
+ 0.033 & 0.515 & 0.021 \\
+ 0.499 & 0.398 & 0.232 \\
+ 0.049 & 0.554 & 0.03 \\
+\end{array}
+\right)$. 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: $0.$ 
+Surface Area: $0.32$ 
+Solid Angle: $0.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/69623.txt b/pretraining/mathematica/geometry/solids/69623.txt
new file mode 100644
index 0000000000000000000000000000000000000000..584e3a1bdaf6352289f314f20cee62949c8d833b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/69623.txt
@@ -0,0 +1,14 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.171 & 0.382 & 0.251 \\
+ 0.585 & 0.314 & 0.87 \\
+ 0.076 & 0.736 & 0.554 \\
+ 0.466 & 0.897 & 0.693 \\
+ 0.518 & 0.158 & 0.277 \\
+\end{array}
+\right)$. 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:
+Volume: $0.04$ 
+Solid Angle: $0.72$ 
+Surface Area: $0.88$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/70019.txt b/pretraining/mathematica/geometry/solids/70019.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7ed50a3db2805043829c5cf338d0c5087c4d9c5b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/70019.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.796 & 0.885 & 0.363 \\
+ 0.365 & 0.066 & 0.648 \\
+ 0.775 & 0.257 & 0.09 \\
+ 0.379 & 0.976 & 0.639 \\
+ 0.84 & 0.678 & 0.312 \\
+ 0.3 & 0.438 & 0.027 \\
+ 0.048 & 0.159 & 0.948 \\
+\end{array}
+\right)$. 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: $1.74$ 
+Solid Angle: $1.08$ 
+Volume: $0.13$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/7393.txt b/pretraining/mathematica/geometry/solids/7393.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f5ca98ad42d8757723087ff5fbb3034df7982af9
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/7393.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.388 & 0.487 & 0.916 \\
+ 0.065 & 0.287 & 0.113 \\
+ 0.646 & 0.223 & 0.561 \\
+ 0.662 & 0.895 & 1. \\
+ 0.119 & 0.161 & 0.656 \\
+ 0.771 & 0.611 & 0.8 \\
+ 0.963 & 0.538 & 0.361 \\
+\end{array}
+\right)$. 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: $1.95$ 
+Volume: $0.09$ 
+Surface Area: $1.46$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/74478.txt b/pretraining/mathematica/geometry/solids/74478.txt
new file mode 100644
index 0000000000000000000000000000000000000000..20fed9cdf7df974086d63709c92cb8a59e387433
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/74478.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.467 & 0.359 & 0.302 \\
+ 0.498 & 0.088 & 0.798 \\
+ 0.401 & 0.913 & 0.569 \\
+ 0.544 & 0.312 & 0.27 \\
+ 0.783 & 0.645 & 0.689 \\
+ 0.917 & 0.042 & 0.912 \\
+ 0.495 & 0.412 & 0.184 \\
+ 0.686 & 0.789 & 0.418 \\
+ 0.477 & 0.314 & 0.931 \\
+\end{array}
+\right)$. 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: $1.21$ 
+Volume: $0.08$ 
+Solid Angle: $4.27$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/76390.txt b/pretraining/mathematica/geometry/solids/76390.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5485fa7e8f295d0616bad01f3134c366cf4b4b7d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/76390.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.09 & 0.728 & 0.31 \\
+ 0.864 & 0.065 & 0.046 \\
+ 0.435 & 0.63 & 0.03 \\
+ 0.411 & 0.196 & 0.892 \\
+ 0.179 & 0.865 & 0.343 \\
+ 0.213 & 0.103 & 0.31 \\
+ 0.849 & 0.396 & 0.7 \\
+\end{array}
+\right)$. 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:
+Volume: $0.15$ 
+Solid Angle: $2.23$ 
+Surface Area: $1.7$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/77598.txt b/pretraining/mathematica/geometry/solids/77598.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b4ccc064ac6f245531ca3f4f3843465fde0dcca0
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/77598.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.811 & 0.287 & 0.722 \\
+ 0.315 & 0.103 & 0.563 \\
+ 0.351 & 0.154 & 0.26 \\
+ 0.102 & 0.884 & 0.017 \\
+ 0.031 & 0.51 & 0.042 \\
+ 0.784 & 0.934 & 0.541 \\
+ 0.39 & 0.925 & 0.683 \\
+ 0.616 & 0.474 & 0.25 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.15$ 
+Solid Angle: $1.06$ 
+Surface Area: $1.75$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/78246.txt b/pretraining/mathematica/geometry/solids/78246.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7f17c9a2f6855effa7102d7ca273f21a81666ac4
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/78246.txt
@@ -0,0 +1,6 @@
+Problem:
+A cylinder with radius $9.689$ is around the line from $\{6.241,-8.419,-9.638\}$ to $\{-6.513,-5.83,2.823\}$. Estimate the cylinder's surface area, volume, and centroid.
+Answer:
+Volume: $5314.46$ 
+Surface Area: $1686.86$ 
+Centroid: $\{-0.14,-7.12,-3.41\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/79509.txt b/pretraining/mathematica/geometry/solids/79509.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0a741d02c6902a6f1e7c27f3cd93f32a5a76244f
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/79509.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.805 & 0.487 & 0.088 \\
+ 0.95 & 0.454 & 0.325 \\
+ 0.672 & 0.318 & 0.798 \\
+ 0.87 & 0.977 & 0.1 \\
+ 0.196 & 0.932 & 0.505 \\
+ 0.617 & 0.189 & 0.713 \\
+\end{array}
+\right)$. 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: $1.77$ 
+Surface Area: $1.19$ 
+Volume: $0.06$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/8122.txt b/pretraining/mathematica/geometry/solids/8122.txt
new file mode 100644
index 0000000000000000000000000000000000000000..03db9b9bcb4e38b4f0f25505dbbe571806eea7dc
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/8122.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.132 & 0.531 & 0.72 \\
+ 0.137 & 0.081 & 0.846 \\
+ 0.045 & 0.317 & 0.572 \\
+ 0.004 & 0.302 & 0.23 \\
+ 0.48 & 0.032 & 0.448 \\
+ 0.642 & 0.99 & 0.469 \\
+ 0.137 & 0.96 & 0.237 \\
+ 0.789 & 0.106 & 0.414 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Solid Angle: $2.97$ 
+Surface Area: $1.75$ 
+Volume: $0.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/84261.txt b/pretraining/mathematica/geometry/solids/84261.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2b1bd65501088d84bbcf2084c608c7735e546394
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/84261.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.972 & 0.274 & 0.08 \\
+ 0.194 & 0.881 & 0.556 \\
+ 0.176 & 0.621 & 0.897 \\
+ 0.191 & 0.811 & 0.596 \\
+ 0.985 & 0.107 & 0.33 \\
+ 0.791 & 0.486 & 0.758 \\
+ 0.429 & 0.978 & 0.605 \\
+ 0.891 & 0.876 & 0.704 \\
+ 0.592 & 0.328 & 0.281 \\
+\end{array}
+\right)$. 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: $1.53$ 
+Solid Angle: $0.96$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/84929.txt b/pretraining/mathematica/geometry/solids/84929.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0ce3826a24a9798177d184d64b723552284355b0
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/84929.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.493 & 0.246 & 0.902 \\
+ 0.222 & 0.666 & 0.293 \\
+ 0.332 & 0.885 & 0.206 \\
+ 0.842 & 0.591 & 0.94 \\
+ 0.786 & 0.866 & 0.019 \\
+ 0.831 & 0.286 & 0.24 \\
+ 0.089 & 0.409 & 0.203 \\
+\end{array}
+\right)$. 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: $1.7$ 
+Solid Angle: $0.98$ 
+Volume: $0.14$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/8544.txt b/pretraining/mathematica/geometry/solids/8544.txt
new file mode 100644
index 0000000000000000000000000000000000000000..affbbe81c227f63aa5a910bf86a133992c7b3aa7
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/8544.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.491 & 0.932 & 0.071 \\
+ 0.129 & 0.867 & 0.4 \\
+ 0.303 & 0.005 & 0.837 \\
+ 0.312 & 0.861 & 0.696 \\
+ 0.334 & 0.846 & 0.159 \\
+ 0.125 & 0.924 & 0.601 \\
+\end{array}
+\right)$. 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: $0.04$ 
+Surface Area: $0.83$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/85981.txt b/pretraining/mathematica/geometry/solids/85981.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bd3617b6811247c3182f05419e65b9847b2c8142
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/85981.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertex coordinates $\left(
+\begin{array}{ccc}
+ 0. & 0. & 0.951 \\
+ -0.851 & 0. & -0.425 \\
+ 0.851 & 0. & 0.425 \\
+ -0.263 & -0.809 & -0.425 \\
+ -0.263 & 0.809 & -0.425 \\
+ 0.263 & -0.809 & 0.425 \\
+ 0.263 & 0.809 & 0.425 \\
+ -0.688 & -0.5 & 0.425 \\
+ -0.688 & 0.5 & 0.425 \\
+ 0.688 & -0.5 & -0.425 \\
+ 0.688 & 0.5 & -0.425 \\
+\end{array}
+\right)$. Determine the Volume.
+Answer:
+$1.88$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/86516.txt b/pretraining/mathematica/geometry/solids/86516.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6707990c881a586455c45f8cff76e935a37f6617
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/86516.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.891 & 0.468 & 0.235 \\
+ 0.782 & 0.745 & 0.622 \\
+ 0.294 & 0.721 & 0.792 \\
+ 0.784 & 0.892 & 0.252 \\
+\end{array}
+\right)$. 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: $0.28$ 
+Surface Area: $0.46$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/87692.txt b/pretraining/mathematica/geometry/solids/87692.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1af7869166f42bf2a9ee8f92aa3ec4664d3e80eb
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/87692.txt
@@ -0,0 +1,15 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.303 & 0.262 & 0.269 \\
+ 0.773 & 0.035 & 0.047 \\
+ 0.5 & 0.483 & 0.369 \\
+ 0.506 & 0.534 & 0.86 \\
+ 0.933 & 0.345 & 0.835 \\
+ 0.8 & 0.326 & 0.01 \\
+\end{array}
+\right)$. 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: $1.01$ 
+Surface Area: $1.01$ 
+Volume: $0.05$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/89162.txt b/pretraining/mathematica/geometry/solids/89162.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b07e35827710202af0607ba9c7de0f4c4b7622b6
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/89162.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.193 & 0.981 & 0.69 \\
+ 0.866 & 0.41 & 0.413 \\
+ 0.258 & 0.223 & 0.444 \\
+ 0.696 & 0.608 & 0.24 \\
+ 0.736 & 0.048 & 0.142 \\
+ 0.733 & 0.418 & 0.034 \\
+ 0.659 & 0.089 & 0.612 \\
+\end{array}
+\right)$. 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: $1.24$ 
+Solid Angle: $0.27$ 
+Volume: $0.09$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/91958.txt b/pretraining/mathematica/geometry/solids/91958.txt
new file mode 100644
index 0000000000000000000000000000000000000000..33464dda2983fe792940932bd082dbcf66e3432d
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/91958.txt
@@ -0,0 +1,16 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.818 & 0.535 & 0.956 \\
+ 0. & 0.338 & 0.708 \\
+ 0.984 & 0.868 & 0.483 \\
+ 0.89 & 0.429 & 0.627 \\
+ 0.318 & 0.268 & 0.504 \\
+ 0.357 & 0.641 & 0.095 \\
+ 0.102 & 0.16 & 0.127 \\
+\end{array}
+\right)$. 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: $0.1$ 
+Solid Angle: $0.9$ 
+Surface Area: $1.62$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/92824.txt b/pretraining/mathematica/geometry/solids/92824.txt
new file mode 100644
index 0000000000000000000000000000000000000000..285405dd4c807416e5a07c715d57d7c2e304d465
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/92824.txt
@@ -0,0 +1,17 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.356 & 0.126 & 0.825 \\
+ 0.512 & 0.678 & 0.36 \\
+ 0.742 & 0.363 & 0.404 \\
+ 0.265 & 0.673 & 0.781 \\
+ 0.253 & 0.766 & 0.107 \\
+ 0.915 & 0.283 & 0.023 \\
+ 0.486 & 0.643 & 0.594 \\
+ 0.749 & 0.528 & 0.281 \\
+\end{array}
+\right)$. 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: $1.21$ 
+Volume: $0.06$ 
+Solid Angle: $0.46$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/94604.txt b/pretraining/mathematica/geometry/solids/94604.txt
new file mode 100644
index 0000000000000000000000000000000000000000..febd25d0f63a5e18ceb93e070c84de4a0016c5ed
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/94604.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.214 & 0.848 & 0.756 \\
+ 0.095 & 0.078 & 0.744 \\
+ 0.373 & 0.913 & 0.286 \\
+ 0.217 & 0.721 & 0.706 \\
+\end{array}
+\right)$. 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: $0.$ 
+Solid Angle: $0.05$ 
+Surface Area: $0.39$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/95593.txt b/pretraining/mathematica/geometry/solids/95593.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0713f46da3580d6d16fafeeaec34ba34d207c892
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/95593.txt
@@ -0,0 +1,13 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.641 & 0.008 & 0.443 \\
+ 0.313 & 0.264 & 0.044 \\
+ 0.087 & 0.037 & 0.302 \\
+ 0.657 & 0.189 & 0.155 \\
+\end{array}
+\right)$. 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: $0.04$ 
+Surface Area: $0.34$ 
+Volume: $0.$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/95749.txt b/pretraining/mathematica/geometry/solids/95749.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9d8b9f9698e97f662243785c838e7b74bc54e311
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/95749.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.942 & 0.254 & 0.843 \\
+ 0.656 & 0.51 & 0.79 \\
+ 0.455 & 0.304 & 0.947 \\
+ 0.81 & 0.45 & 0.158 \\
+ 0.326 & 0.099 & 0.232 \\
+ 0.037 & 0.785 & 0.33 \\
+ 0.094 & 0.348 & 0.772 \\
+ 0.553 & 0.294 & 0.006 \\
+ 0.33 & 0.077 & 0.79 \\
+ 0.799 & 0.128 & 0.441 \\
+ 0.967 & 0.926 & 0.495 \\
+\end{array}
+\right)$. 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: $2.33$ 
+Solid Angle: $1.62$ 
+Volume: $0.25$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/96278.txt b/pretraining/mathematica/geometry/solids/96278.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8b98326d5d11b87f45b18a35f8d54132a17e38a1
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/96278.txt
@@ -0,0 +1,20 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.852 & 0.449 & 0.399 \\
+ 0.182 & 0.508 & 0.835 \\
+ 0.553 & 0.974 & 0.222 \\
+ 0.902 & 0.519 & 0.468 \\
+ 0.156 & 0.477 & 0.436 \\
+ 0.88 & 0.413 & 0.522 \\
+ 0.425 & 0.093 & 0.153 \\
+ 0.775 & 0.124 & 0.429 \\
+ 0.384 & 0.251 & 0.645 \\
+ 0.451 & 0.999 & 0.809 \\
+ 0.162 & 0.563 & 0.815 \\
+\end{array}
+\right)$. Estimate the polyhedron's surface area, volume, and the solid angle at the first listed point p spanned by edges with common point p.
+Answer:
+Volume: $0.15$ 
+Surface Area: $1.67$ 
+Solid Angle: $4.68$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/97246.txt b/pretraining/mathematica/geometry/solids/97246.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eb83f734d767ef744f92e2b5e1f87cd6ed6a945b
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/97246.txt
@@ -0,0 +1,18 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.014 & 0.914 & 0.59 \\
+ 0.098 & 0.092 & 0.042 \\
+ 0.041 & 0.697 & 0.951 \\
+ 0.279 & 0.344 & 0.913 \\
+ 0.254 & 0.478 & 0.955 \\
+ 0.815 & 0.875 & 0.572 \\
+ 0.648 & 0.918 & 0.042 \\
+ 0.45 & 0.897 & 0.025 \\
+ 0.462 & 0.17 & 0.691 \\
+\end{array}
+\right)$. 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: $1.98$ 
+Surface Area: $2.23$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/97321.txt b/pretraining/mathematica/geometry/solids/97321.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d2b6cfc53bab874331d4bbd5fe3301fec02d8ea8
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/97321.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.491 & 0.754 & 0.984 \\
+ 0.82 & 0.891 & 0.433 \\
+ 0.635 & 0.995 & 0.151 \\
+ 0.382 & 0.723 & 0.836 \\
+ 0.608 & 0.071 & 0.664 \\
+ 0.139 & 0.939 & 0.116 \\
+ 0.807 & 0.897 & 0.239 \\
+ 0.638 & 0.162 & 0.743 \\
+ 0.138 & 0.771 & 0.146 \\
+ 0.173 & 0.335 & 0.998 \\
+\end{array}
+\right)$. 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: $1.68$ 
+Surface Area: $1.85$ 
+Volume: $0.16$
\ No newline at end of file
diff --git a/pretraining/mathematica/geometry/solids/97338.txt b/pretraining/mathematica/geometry/solids/97338.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fc9dda3e72c9ba4f8b700bbdb8160f984eb606a2
--- /dev/null
+++ b/pretraining/mathematica/geometry/solids/97338.txt
@@ -0,0 +1,19 @@
+Problem:
+A polyhedron has vertices with the coordinates $\left(
+\begin{array}{ccc}
+ 0.323 & 0.48 & 0.017 \\
+ 0.789 & 0.174 & 0.579 \\
+ 0.648 & 0.848 & 0.109 \\
+ 0.113 & 0.839 & 0.291 \\
+ 0.928 & 0.699 & 0.051 \\
+ 0.07 & 0.403 & 0.75 \\
+ 0.655 & 0.048 & 0.486 \\
+ 0.715 & 0.531 & 0.563 \\
+ 0.885 & 0.812 & 0.034 \\
+ 0.201 & 0.789 & 0.345 \\
+\end{array}
+\right)$. 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: $2.21$ 
+Surface Area: $1.67$
\ No newline at end of file