diff --git a/pretraining/mathematica/linear_algebra/null_space/10325.txt b/pretraining/mathematica/linear_algebra/null_space/10325.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1b1eff9ce04a39e7ccd6a6055f024c843bd5a77e
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/10325.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -10 & -2 & 8 & 6 & -8 \\
+\end{array}
+\right)$.
+Answer:
+${\{-4.,0.,0.,0.,5.\}, \{-1.,5.,0.,0.,0.\}, \{3.,0.,0.,5.,0.\}, \{4.,0.,5.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/10612.txt b/pretraining/mathematica/linear_algebra/null_space/10612.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f64339a5c70074b0ffeb529264cc078efb44ef64
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/10612.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -9 & 1 & 4 \\
+ -6 & -2 & 0 \\
+ -5 & 7 & -8 \\
+ -2 & -3 & 0 \\
+ 0 & 3 & -2 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/1096.txt b/pretraining/mathematica/linear_algebra/null_space/1096.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9febbe665d2fa614c1bd53a36688278783146b47
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/1096.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 2 & 8 & 4 & -4 & 1 \\
+ -5 & -5 & -3 & 0 & -2 \\
+ -2 & 8 & -4 & 0 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${\{-22.,7.,25.,28.,0.\}, \{-22.,63.,-143.,0.,112.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/11590.txt b/pretraining/mathematica/linear_algebra/null_space/11590.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8de19b15a39fda0faf2a7767b3dd0c263e4de711
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/11590.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 0 & 8 & -3 \\
+\end{array}
+\right)$.
+Answer:
+${\{0.,3.,8.\}, \{1.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/12975.txt b/pretraining/mathematica/linear_algebra/null_space/12975.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7364548f733f66b75dbd47af9c027188b15cadd4
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/12975.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -7 & 9 & 1 \\
+ 9 & -9 & 9 \\
+ 7 & 3 & 6 \\
+ -7 & 3 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/13307.txt b/pretraining/mathematica/linear_algebra/null_space/13307.txt
new file mode 100644
index 0000000000000000000000000000000000000000..97158266c2c23304f18a5a9d35ddcde2996a4117
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/13307.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -1 & 6 & -3 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${\{-10.,0.,0.,1.\}, \{-3.,0.,1.,0.\}, \{6.,1.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/1332.txt b/pretraining/mathematica/linear_algebra/null_space/1332.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f20f1e47e7f3035e994077f2f3dd75d65c4d4ef4
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/1332.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 8 & 9 & 9 & 2 & -8 \\
+ 1 & 3 & -5 & -1 & 10 \\
+ -3 & -8 & 3 & -2 & 3 \\
+ 8 & 0 & -4 & 6 & -1 \\
+ -3 & 3 & 9 & 6 & -1 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/13614.txt b/pretraining/mathematica/linear_algebra/null_space/13614.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3aa954643b0f789c0a14fe36fcf2c633297b2de6
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/13614.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 1 & -2 & 10 \\
+ -9 & 3 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${\{44.,97.,15.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/13894.txt b/pretraining/mathematica/linear_algebra/null_space/13894.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7c50d9cbdb9efd0c8a75b7eaabe5aeca37cb22f4
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/13894.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 5 & -1 & -10 \\
+ -2 & -2 & 4 \\
+ 8 & 9 & 4 \\
+ 9 & -1 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/14357.txt b/pretraining/mathematica/linear_algebra/null_space/14357.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9bf7d7a35f05ee8e53fa47402c461d95a7aa84bf
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/14357.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -9 & 6 & 5 & -10 & -3 \\
+ 8 & 3 & -9 & -2 & -5 \\
+ 3 & -6 & 1 & -6 & 10 \\
+ -9 & 1 & -9 & 3 & 2 \\
+ 8 & -10 & 9 & 6 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/14617.txt b/pretraining/mathematica/linear_algebra/null_space/14617.txt
new file mode 100644
index 0000000000000000000000000000000000000000..33cba8ca2ecc8ea2482de8c90ca44a3b6fa4d631
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/14617.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 7 & -8 \\
+ -8 & 5 \\
+ -3 & 0 \\
+ -4 & 1 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/14707.txt b/pretraining/mathematica/linear_algebra/null_space/14707.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ba2acc320b87a478b26f97f5423b23f7b8f09d68
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/14707.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -1 & -4 & -1 & -6 \\
+\end{array}
+\right)$.
+Answer:
+${\{-6.,0.,0.,1.\}, \{-4.,1.,0.,0.\}, \{-1.,0.,1.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/14803.txt b/pretraining/mathematica/linear_algebra/null_space/14803.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2166487ebf9fb4f0b7081396ab0bb8fda9af084f
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/14803.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -8 & 9 & 1 & -9 \\
+ -10 & -8 & -8 & -2 \\
+ -3 & 6 & -2 & -9 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,37.,-42.,35.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/15026.txt b/pretraining/mathematica/linear_algebra/null_space/15026.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f88e9d3509c13d822f30aa5ce79db20727027a22
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/15026.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -7 & -2 \\
+ -1 & 8 \\
+ 3 & 7 \\
+ 0 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/15120.txt b/pretraining/mathematica/linear_algebra/null_space/15120.txt
new file mode 100644
index 0000000000000000000000000000000000000000..db753ac944f9d934c0ad5f2d9bc31f61113aa9af
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/15120.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 0 & 8 & -3 & 6 & 4 \\
+ 8 & 4 & 9 & -1 & -9 \\
+\end{array}
+\right)$.
+Answer:
+${\{-21.,6.,16.,0.,0.\}, \{2.,-3.,0.,4.,0.\}, \{11.,-4.,0.,0.,8.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/16245.txt b/pretraining/mathematica/linear_algebra/null_space/16245.txt
new file mode 100644
index 0000000000000000000000000000000000000000..34db2a0f1b133839a4a3207f0b56644d10eb00e2
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/16245.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 7 & 9 \\
+ 4 & -9 \\
+ -9 & 0 \\
+ -1 & 6 \\
+ -5 & -8 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/16736.txt b/pretraining/mathematica/linear_algebra/null_space/16736.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8c9a8f696107360c70aa4785518179e65020cccd
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/16736.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -1 & 7 & 6 & 6 & -6 \\
+\end{array}
+\right)$.
+Answer:
+${\{-6.,0.,0.,0.,1.\}, \{6.,0.,0.,1.,0.\}, \{6.,0.,1.,0.,0.\}, \{7.,1.,0.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/17429.txt b/pretraining/mathematica/linear_algebra/null_space/17429.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e8e41511c295ab23911823350ac4ccf74d6191c
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/17429.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 4 & 6 & -10 & -3 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,2.,0.,0.,0.\}, \{-1.,0.,0.,0.,2.\}, \{3.,0.,0.,4.,0.\}, \{5.,0.,2.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/17612.txt b/pretraining/mathematica/linear_algebra/null_space/17612.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e0624cebfb84431d18f0ba990f5779c8a9de191b
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/17612.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -8 & -4 & 8 \\
+ -3 & -4 & -10 \\
+ 10 & 7 & 10 \\
+ -5 & -4 & 10 \\
+ -2 & 3 & -9 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/17672.txt b/pretraining/mathematica/linear_algebra/null_space/17672.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3a72dc4675698ddc04e885e34e09c5c17bffedd4
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/17672.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -6 & -6 & -9 & 10 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,0.,2.,0.\}, \{-1.,1.,0.,0.\}, \{5.,0.,0.,3.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/19249.txt b/pretraining/mathematica/linear_algebra/null_space/19249.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5f1fe340bb52d590d35c2989fb3bec195b8d4abf
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/19249.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 1 & 2 & 2 & -4 & -8 \\
+ 9 & 2 & -4 & -3 & -8 \\
+ 10 & 2 & 0 & 6 & 9 \\
+ 5 & -3 & -1 & 7 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{1432.,-3599.,1471.,-2630.,962.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/20591.txt b/pretraining/mathematica/linear_algebra/null_space/20591.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cb6e94999b69f2c26746eaf3bd2dd5a7337006cd
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/20591.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 7 & 3 & 0 & -10 \\
+ 8 & 9 & 1 & 9 \\
+ 10 & -7 & 7 & 10 \\
+ -4 & -9 & 5 & 8 \\
+ 10 & -6 & -7 & 5 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/22613.txt b/pretraining/mathematica/linear_algebra/null_space/22613.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ff359b5672fb5c280b40ec2ff698462bff92bfad
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/22613.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 4 & 5 & 3 & 4 & -1 \\
+ -7 & -5 & -6 & -9 & -2 \\
+ 3 & 10 & -8 & -9 & -6 \\
+ -4 & 6 & 9 & -3 & -3 \\
+ -10 & 3 & 0 & 8 & -5 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/22718.txt b/pretraining/mathematica/linear_algebra/null_space/22718.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9565874bc49e95a99d87be1b2285a2bfa04cd000
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/22718.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 3 & -6 & -5 \\
+ 2 & -1 & -4 \\
+\end{array}
+\right)$.
+Answer:
+${\{19.,2.,9.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/22971.txt b/pretraining/mathematica/linear_algebra/null_space/22971.txt
new file mode 100644
index 0000000000000000000000000000000000000000..85666a3e6d6fba26bb6df5e3583322169bec2cd6
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/22971.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -6 & -7 \\
+ -9 & -9 \\
+ 1 & 3 \\
+ -9 & 7 \\
+ 9 & -6 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/23227.txt b/pretraining/mathematica/linear_algebra/null_space/23227.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fc9e9115eb99e7a79ef0aef7416752731176a328
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/23227.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -6 & -4 & -10 & -7 & -2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-7.,0.,0.,6.,0.\}, \{-5.,0.,3.,0.,0.\}, \{-2.,3.,0.,0.,0.\}, \{-1.,0.,0.,0.,3.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/2379.txt b/pretraining/mathematica/linear_algebra/null_space/2379.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5735cc3a778514e8152fd383d7e41f21bceaec3b
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/2379.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 1 & 6 & 2 & -4 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-6.,1.,0.,0.,0.\}, \{-2.,0.,0.,0.,1.\}, \{-2.,0.,1.,0.,0.\}, \{4.,0.,0.,1.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/24041.txt b/pretraining/mathematica/linear_algebra/null_space/24041.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a99eabf105753f8cdd30cd37e9ecebbc4ed75df2
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/24041.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 4 & 2 & -7 & 6 \\
+ -8 & 1 & -5 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,76.,20.,0.\}, \{-1.,-1.,0.,1.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/2483.txt b/pretraining/mathematica/linear_algebra/null_space/2483.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4b855e0d4a78392a3e050ee4c6c276061e22ce3e
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/2483.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 2 & -3 & 1 & -10 & -8 \\
+ -10 & -8 & -4 & -5 & 6 \\
+\end{array}
+\right)$.
+Answer:
+${\{-10.,1.,23.,0.,0.\}, \{41.,-34.,0.,0.,23.\}, \{65.,-110.,0.,46.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/24980.txt b/pretraining/mathematica/linear_algebra/null_space/24980.txt
new file mode 100644
index 0000000000000000000000000000000000000000..090e520695c81792ed24152a06f1fdbfda9bb5ec
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/24980.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -3 & 9 & 5 \\
+ 4 & 6 & -3 \\
+ 9 & 9 & 0 \\
+ -5 & 7 & 6 \\
+ -4 & -10 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/25017.txt b/pretraining/mathematica/linear_algebra/null_space/25017.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ea1537a306c9930cb1e829bb0e3240ea6c4501f8
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/25017.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -6 & -3 \\
+ 7 & -8 \\
+ -2 & -10 \\
+ 5 & 4 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/25935.txt b/pretraining/mathematica/linear_algebra/null_space/25935.txt
new file mode 100644
index 0000000000000000000000000000000000000000..43acefc38e24cf3e52da61771cee3004b61f8732
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/25935.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 9 & -6 & -7 & 2 & 7 \\
+ 3 & -2 & 3 & -1 & 10 \\
+ 1 & -5 & -1 & -9 & -7 \\
+ 10 & 8 & 9 & 5 & 5 \\
+\end{array}
+\right)$.
+Answer:
+${\{447.,14867.,-10394.,-10845.,4873.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/26297.txt b/pretraining/mathematica/linear_algebra/null_space/26297.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7b47b3d92bcb082f9124c7d42b68c7496538ee39
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/26297.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -5 & -5 & 5 \\
+ -7 & 0 & 2 \\
+ 8 & 9 & 0 \\
+ -7 & 7 & 3 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/27649.txt b/pretraining/mathematica/linear_algebra/null_space/27649.txt
new file mode 100644
index 0000000000000000000000000000000000000000..98d8f78c0eca0aac92d4871295b054accc01b533
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/27649.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 7 & -9 & -10 & -1 \\
+ -5 & 10 & 6 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${\{4.,3.,0.,1.\}, \{46.,8.,25.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/27887.txt b/pretraining/mathematica/linear_algebra/null_space/27887.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b372f9a48a5d42fa6c727193c0638743c987d2b4
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/27887.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 0 & 10 & -6 \\
+ 0 & -10 & -6 \\
+\end{array}
+\right)$.
+Answer:
+${\{1.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/28638.txt b/pretraining/mathematica/linear_algebra/null_space/28638.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9609afebf7f926fd729265ee865a6f09a35f3471
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/28638.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 2 & 0 & 7 \\
+ 9 & 8 & -3 \\
+ 7 & 9 & 5 \\
+ 7 & 5 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/28781.txt b/pretraining/mathematica/linear_algebra/null_space/28781.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1cbc77e8f10d95f7a4c566c3cd993326553cd4d3
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/28781.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 0 & 9 & 1 \\
+ 8 & -3 & -2 \\
+ 5 & 8 & 2 \\
+ -2 & 6 & 2 \\
+ -10 & -4 & 10 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/29038.txt b/pretraining/mathematica/linear_algebra/null_space/29038.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3571110d9a8832c69a218cbf1286ea6d86971a2f
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/29038.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 8 & 6 \\
+\end{array}
+\right)$.
+Answer:
+${\{-3.,4.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/3060.txt b/pretraining/mathematica/linear_algebra/null_space/3060.txt
new file mode 100644
index 0000000000000000000000000000000000000000..56ba5cc5cb395ab94380d65c16749140cb9cd917
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/3060.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -7 & -8 & 0 & 1 & -9 \\
+ -4 & 6 & -9 & 3 & -10 \\
+ 2 & 1 & 0 & 3 & 4 \\
+ -10 & 5 & 8 & -2 & -1 \\
+ 6 & -8 & 1 & -5 & -3 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/30856.txt b/pretraining/mathematica/linear_algebra/null_space/30856.txt
new file mode 100644
index 0000000000000000000000000000000000000000..904635d800f9b23e4f718f5a62e60374623952e9
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/30856.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -10 & 6 & 3 & -8 \\
+\end{array}
+\right)$.
+Answer:
+${\{-4.,0.,0.,5.\}, \{3.,0.,10.,0.\}, \{3.,5.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/30942.txt b/pretraining/mathematica/linear_algebra/null_space/30942.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6bf2af4efde9998e0c5143f4d6415014a8094769
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/30942.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 9 & 2 & -7 & -9 \\
+ 1 & 1 & -9 & -2 \\
+ 6 & -2 & 9 & 4 \\
+\end{array}
+\right)$.
+Answer:
+${\{45.,617.,40.,151.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/31569.txt b/pretraining/mathematica/linear_algebra/null_space/31569.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b8da5c9223f884b2ca266f0360ee14edf8612827
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/31569.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 6 & 7 & -8 \\
+ 5 & 3 & 5 \\
+ -7 & -10 & 10 \\
+ 7 & -2 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/32117.txt b/pretraining/mathematica/linear_algebra/null_space/32117.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4f733e57296c7b66224e339ee2b75da619211f92
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/32117.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 4 & 10 & -2 & 2 & 4 \\
+ -4 & -4 & 5 & 8 & 10 \\
+ -3 & -7 & 0 & -6 & -7 \\
+ 4 & 4 & 0 & 8 & -8 \\
+\end{array}
+\right)$.
+Answer:
+${\{-113.,-13.,-216.,67.,4.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/32256.txt b/pretraining/mathematica/linear_algebra/null_space/32256.txt
new file mode 100644
index 0000000000000000000000000000000000000000..178c406614c513ad7ac73b79750be00315c84a27
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/32256.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -9 & -8 \\
+ 1 & -7 \\
+ -3 & -8 \\
+ 7 & -2 \\
+ 10 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/32298.txt b/pretraining/mathematica/linear_algebra/null_space/32298.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a6b4f931695f4f44958991d1e1cfdf1826e7bff2
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/32298.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 0 & -1 & 5 & 10 \\
+ -7 & -3 & 10 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${\{-37.,70.,0.,7.\}, \{-5.,35.,7.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/32485.txt b/pretraining/mathematica/linear_algebra/null_space/32485.txt
new file mode 100644
index 0000000000000000000000000000000000000000..217f5d47992dd18a7846f88f3da58bb1ef6bc6d8
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/32485.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 7 & -2 \\
+ 1 & 7 \\
+ 2 & -1 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/33537.txt b/pretraining/mathematica/linear_algebra/null_space/33537.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6ceb2f5642eb7321d52a91556d0b8c2feba771c2
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/33537.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -5 & 1 & -6 \\
+ -10 & 10 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-31.,-35.,20.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/34583.txt b/pretraining/mathematica/linear_algebra/null_space/34583.txt
new file mode 100644
index 0000000000000000000000000000000000000000..17cd8cee48df49e5b9886d965293caa8cf0fdb1a
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/34583.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 4 & -7 & 4 & -5 & -8 \\
+ 1 & -9 & 8 & -7 & -8 \\
+ 1 & -3 & 2 & 7 & 3 \\
+ 8 & -9 & -3 & 1 & -7 \\
+\end{array}
+\right)$.
+Answer:
+${\{1084.,-431.,72.,-1051.,1612.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/35031.txt b/pretraining/mathematica/linear_algebra/null_space/35031.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3edf78076e31568fe1daf79a90c57527601d2729
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/35031.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 6 & -1 & -4 \\
+ 3 & -3 & -8 \\
+ 6 & -10 & -6 \\
+ 6 & -1 & 0 \\
+ -10 & -4 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/35934.txt b/pretraining/mathematica/linear_algebra/null_space/35934.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5ca6cf8b1c33268fe7acdda51c36c821e22e91a8
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/35934.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -4 & -4 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${\{-1.,1.,0.\}, \{0.,0.,1.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/36121.txt b/pretraining/mathematica/linear_algebra/null_space/36121.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c2e0f98b4067296444229d8ff3997c7617215484
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/36121.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 7 & 4 & -10 \\
+ -7 & -6 & 1 \\
+ 9 & -1 & -6 \\
+ -7 & 0 & 6 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/36638.txt b/pretraining/mathematica/linear_algebra/null_space/36638.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5460fc73f651b4aea116ce3f002bc13a18a988fe
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/36638.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 5 & -7 & -10 & -5 \\
+ -9 & 4 & -4 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-68.,-110.,43.,0.\}, \{-6.,-35.,0.,43.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/37307.txt b/pretraining/mathematica/linear_algebra/null_space/37307.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4583de376aba28ca68d6da241333afab64737722
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/37307.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 5 & -7 & -7 & -3 \\
+ 10 & -1 & 1 & 9 \\
+ 7 & -1 & -9 & -1 \\
+\end{array}
+\right)$.
+Answer:
+${\{-130.,-45.,-113.,152.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/37737.txt b/pretraining/mathematica/linear_algebra/null_space/37737.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a67b828a33feb7ea3049477859ac5d344766116b
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/37737.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -5 & -4 & 9 & -7 \\
+ -9 & 3 & 7 & 8 \\
+\end{array}
+\right)$.
+Answer:
+${\{11.,-103.,0.,51.\}, \{55.,46.,51.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/3826.txt b/pretraining/mathematica/linear_algebra/null_space/3826.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7be90dbed80757802e1cc4345e48623bf864b5de
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/3826.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -9 & 3 \\
+ -5 & 10 \\
+ 6 & 2 \\
+ -6 & 3 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/39382.txt b/pretraining/mathematica/linear_algebra/null_space/39382.txt
new file mode 100644
index 0000000000000000000000000000000000000000..76f0d0064be84619363b5804a0d7d909efce586e
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/39382.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 5 & 8 & -4 & -3 & -8 \\
+ -1 & -4 & -8 & -10 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{8.,1.,0.,0.,6.\}, \{20.,-11.,3.,0.,0.\}, \{92.,-53.,0.,12.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/40834.txt b/pretraining/mathematica/linear_algebra/null_space/40834.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c34e8375c7e13ef4a35d222c976691370699b7f1
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/40834.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ -8 & -3 \\
+ -9 & 2 \\
+ -4 & -8 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/40938.txt b/pretraining/mathematica/linear_algebra/null_space/40938.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2a59c90e4426faa040f152e4e3a8bc593a69da9c
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/40938.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 9 & 9 \\
+ 6 & 9 \\
+ 4 & -10 \\
+ 5 & 1 \\
+ -2 & -2 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/41410.txt b/pretraining/mathematica/linear_algebra/null_space/41410.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ac891e1bf491a0d34b620f647b205e8f269b4279
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/41410.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 8 & 1 & 6 \\
+ -3 & 9 & -6 \\
+\end{array}
+\right)$.
+Answer:
+${\{-4.,2.,5.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/42021.txt b/pretraining/mathematica/linear_algebra/null_space/42021.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b495d741d170205707a226fc0bd6897d14cc85fc
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/42021.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 4 & 3 & 10 & -7 & -2 \\
+\end{array}
+\right)$.
+Answer:
+${\{-5.,0.,2.,0.,0.\}, \{-3.,4.,0.,0.,0.\}, \{1.,0.,0.,0.,2.\}, \{7.,0.,0.,4.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/436.txt b/pretraining/mathematica/linear_algebra/null_space/436.txt
new file mode 100644
index 0000000000000000000000000000000000000000..430966e679dfa4319667147621b3fd9b10e544a3
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/436.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -3 & -5 & -9 & 8 & 8 \\
+ -10 & 2 & -5 & -3 & 7 \\
+ -7 & -4 & 3 & -3 & -10 \\
+\end{array}
+\right)$.
+Answer:
+${\{-394.,511.,531.,769.,0.\}, \{-185.,-734.,1153.,0.,769.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/4386.txt b/pretraining/mathematica/linear_algebra/null_space/4386.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b8e1f2d41ca223a9077080f188f6ef8741d5e491
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/4386.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ -4 & -2 & -1 & 7 & -5 \\
+ 6 & 9 & 3 & -9 & 10 \\
+ 7 & 3 & 9 & -7 & -8 \\
+ -1 & 6 & -8 & -5 & 4 \\
+\end{array}
+\right)$.
+Answer:
+${\{-6794.,-45.,2997.,-3272.,273.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/44119.txt b/pretraining/mathematica/linear_algebra/null_space/44119.txt
new file mode 100644
index 0000000000000000000000000000000000000000..833c5073e3bd8ed4dbaa4661f5d6237949ba667f
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/44119.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 10 & 8 & -8 & 10 \\
+\end{array}
+\right)$.
+Answer:
+${\{-4.,5.,0.,0.\}, \{-1.,0.,0.,1.\}, \{4.,0.,5.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/45113.txt b/pretraining/mathematica/linear_algebra/null_space/45113.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1f65bf71dee286e7ec0438e1beff3d68a13ce1b3
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/45113.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cc}
+ 3 & -2 \\
+ -3 & -10 \\
+ 8 & 6 \\
+ -2 & -6 \\
+ -5 & 7 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/45866.txt b/pretraining/mathematica/linear_algebra/null_space/45866.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8e72671ec2177667f146dc3eb79898c5f755ecc1
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/45866.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ -4 & 6 & 4 \\
+ -6 & -5 & -8 \\
+\end{array}
+\right)$.
+Answer:
+${\{-1.,-2.,2.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/47013.txt b/pretraining/mathematica/linear_algebra/null_space/47013.txt
new file mode 100644
index 0000000000000000000000000000000000000000..be42af38436c830f35cddee0ac5e7d3298f2ebe1
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/47013.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 3 & 0 & -8 \\
+ -8 & -5 & 2 \\
+\end{array}
+\right)$.
+Answer:
+${\{40.,-58.,15.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/47088.txt b/pretraining/mathematica/linear_algebra/null_space/47088.txt
new file mode 100644
index 0000000000000000000000000000000000000000..03fcce8ce83ab428894de2eff45bd3b7e044b29a
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/47088.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 3 & -7 & -9 & -9 & -6 \\
+ 5 & -8 & 4 & -6 & -5 \\
+ -8 & -7 & -8 & 0 & -5 \\
+\end{array}
+\right)$.
+Answer:
+${\{87.,-717.,-154.,0.,1111.\}, \{870.,-504.,-429.,1111.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/4710.txt b/pretraining/mathematica/linear_algebra/null_space/4710.txt
new file mode 100644
index 0000000000000000000000000000000000000000..079ebfbdbabd11077495dcbbcc018b348f80120d
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/4710.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccccc}
+ 1 & -5 & -6 & 5 & 2 \\
+ 8 & 9 & 9 & 5 & -3 \\
+\end{array}
+\right)$.
+Answer:
+${\{-10.,5.,0.,7.,0.\}, \{-3.,19.,0.,0.,49.\}, \{9.,-57.,49.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/47367.txt b/pretraining/mathematica/linear_algebra/null_space/47367.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9bea2e0468e41b97161994a1776032aff65a9f5e
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/47367.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 6 & -1 & 10 \\
+ 2 & 2 & -9 \\
+\end{array}
+\right)$.
+Answer:
+${\{-11.,74.,14.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/5772.txt b/pretraining/mathematica/linear_algebra/null_space/5772.txt
new file mode 100644
index 0000000000000000000000000000000000000000..460be81cc6941e1d648ef3aee3a7d4db3eaead7c
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/5772.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -8 & -6 & -9 & 0 \\
+ -8 & -2 & 8 & 8 \\
+\end{array}
+\right)$.
+Answer:
+${\{3.,-4.,0.,2.\}, \{33.,-68.,16.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/7765.txt b/pretraining/mathematica/linear_algebra/null_space/7765.txt
new file mode 100644
index 0000000000000000000000000000000000000000..523320f760472d34cfce985af53587f236c9a469
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/7765.txt
@@ -0,0 +1,13 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 0 & 0 & 3 \\
+ 2 & -1 & 7 \\
+ -4 & 6 & -7 \\
+ 10 & 4 & 0 \\
+ 4 & 7 & -8 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/8484.txt b/pretraining/mathematica/linear_algebra/null_space/8484.txt
new file mode 100644
index 0000000000000000000000000000000000000000..946800b47986ae11c39c47945ca25a48c68deae1
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/8484.txt
@@ -0,0 +1,9 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 0 & 1 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${\{0.,0.,1.\}, \{1.,0.,0.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/8561.txt b/pretraining/mathematica/linear_algebra/null_space/8561.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3986437423537ab002a9ab70acc353948ae32749
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/8561.txt
@@ -0,0 +1,12 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ -6 & 4 & 0 & -6 \\
+ 10 & 10 & -7 & 1 \\
+ 5 & 3 & 2 & -5 \\
+ 3 & 2 & -3 & 0 \\
+\end{array}
+\right)$.
+Answer:
+${}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/8816.txt b/pretraining/mathematica/linear_algebra/null_space/8816.txt
new file mode 100644
index 0000000000000000000000000000000000000000..21a08936f9e19ab89a58f6f9af20c002a81ca485
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/8816.txt
@@ -0,0 +1,11 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{cccc}
+ 4 & -8 & -1 & 10 \\
+ -10 & -5 & 5 & -9 \\
+ -7 & 7 & 5 & 6 \\
+\end{array}
+\right)$.
+Answer:
+${\{-389.,-9.,-634.,85.\}}$
\ No newline at end of file
diff --git a/pretraining/mathematica/linear_algebra/null_space/9315.txt b/pretraining/mathematica/linear_algebra/null_space/9315.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c40498b9a8b59b10d4afafad218e6009d9a5bb6d
--- /dev/null
+++ b/pretraining/mathematica/linear_algebra/null_space/9315.txt
@@ -0,0 +1,10 @@
+Problem:
+Give a list of vectors that forms a basis for the null space of the following matrix (round your answer to three decimal places):
+$\left(
+\begin{array}{ccc}
+ 6 & -2 & 6 \\
+ 10 & -8 & 4 \\
+\end{array}
+\right)$.
+Answer:
+${\{-10.,-9.,7.\}}$
\ No newline at end of file