diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/11064.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/11064.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5782e385e040ce0aadcbebfd2fdff584c57a08e5
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/11064.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-343, -1, -3, 1024, 216}$.
+Answer:
+$4 \sqrt[5]{-1} 3^{4/5} 14^{3/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/12624.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/12624.txt
new file mode 100644
index 0000000000000000000000000000000000000000..98d89a6fee6f2bdfc49a487e28a754ae446d41b2
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/12624.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${1, 10, 59049, -32, 1296}$.
+Answer:
+$36 \sqrt[5]{-5} 3^{4/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/15367.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/15367.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ce99a6084a97f941f285827bd9ff77713444da54
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/15367.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${3, -512, 16, 49}$.
+Answer:
+$8 \sqrt[4]{-6} \sqrt{7}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/15540.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/15540.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bc5c0500877757c05c3d47dc759e69ce38da6afd
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/15540.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${6561, 6561, 16, 16}$.
+Answer:
+$324$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/16000.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/16000.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e69947009b5e03e7970fe1e4858b5d2c039e02c
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/16000.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${25, 1, -512}$.
+Answer:
+$8 \sqrt[3]{-1} 5^{2/3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/16798.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/16798.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ceaf78327249e3d0c7f6328dfc68e4a5de95bde7
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/16798.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${512, -8, 125, -6, 5}$.
+Answer:
+$4\ 2^{3/5} \sqrt[5]{3} 5^{4/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/17094.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/17094.txt
new file mode 100644
index 0000000000000000000000000000000000000000..17381f0e736e5444df04857ac3452ebbdffebe36
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/17094.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${1024, 1, 49, -32768, -1000}$.
+Answer:
+$32\ 7^{2/5} 10^{3/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/17293.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/17293.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0c6f0562401decb513a078264b32279e69e93e3a
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/17293.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${9, 7}$.
+Answer:
+$3 \sqrt{7}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/17712.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/17712.txt
new file mode 100644
index 0000000000000000000000000000000000000000..46955a69ff4eea1156ff73aeacec06b5c104f450
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/17712.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${36, 2, 9}$.
+Answer:
+$6 \sqrt[3]{3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/18511.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/18511.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b8cf2b3ca70a9339e64522d4ce3d6e25cc2cdead
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/18511.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${2401, 2401, 243, 1000000, -243, -343}$.
+Answer:
+$210\ 3^{2/3} 7^{5/6}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/19620.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/19620.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0e0ef236ca9a03cb2a9ae415d77801e76388fc74
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/19620.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-7776, 59049, -16807, 100000, 9}$.
+Answer:
+$3780\ 3^{2/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/20208.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/20208.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4316d27a4afe319e5576f4922793aec479a0b39f
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/20208.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-125, 2401, 16, 6}$.
+Answer:
+$14 \sqrt[4]{-6} 5^{3/4}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/20717.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/20717.txt
new file mode 100644
index 0000000000000000000000000000000000000000..88c87dcb07a592598379e2d9727877f75c3e1176
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/20717.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${512, 2401, 9, 81}$.
+Answer:
+$84 \sqrt[4]{2} \sqrt{3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/2099.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/2099.txt
new file mode 100644
index 0000000000000000000000000000000000000000..27a385276b56ff93ddd6d5f4a5987d0bb6126173
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/2099.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${5, 125, 25, 9}$.
+Answer:
+$5 \sqrt{15}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/21723.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/21723.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b7c9745ed19e813d86689ff2befca88b11565814
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/21723.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-3, -7}$.
+Answer:
+$\sqrt{21}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/22457.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/22457.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5c577585d4eff616ee9e6f37030471641d0babdd
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/22457.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${16807, 16, 1, 256, -3, -27}$.
+Answer:
+$4\ 3^{2/3} 7^{5/6}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/23219.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/23219.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cb728efc554a46244d5321fd2503a7e02002479f
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/23219.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${10, 9, 125}$.
+Answer:
+$5\ 3^{2/3} \sqrt[3]{10}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/237.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/237.txt
new file mode 100644
index 0000000000000000000000000000000000000000..39d932e60b9d670f766e01d667ba633096853a5c
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/237.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${9, -4, 9, -1}$.
+Answer:
+$3 \sqrt{2}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/24183.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/24183.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dd22916067bf55efced697ab7253c0cb4d069aa5
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/24183.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${16, 1000, 36, 216}$.
+Answer:
+$24 \sqrt[4]{3} 5^{3/4}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/25093.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/25093.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9012e951305c9a4c43df952a3473e881867117c2
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/25093.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${4, 216, 16, 59049, 16}$.
+Answer:
+$36\ 6^{3/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/25625.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/25625.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5df244a91a7b3545561746c6759a11d6a95d53fd
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/25625.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-3, -1, -216, 125}$.
+Answer:
+$(3+3 i) \sqrt[4]{2} 5^{3/4}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/27075.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/27075.txt
new file mode 100644
index 0000000000000000000000000000000000000000..716ab023b931e34641cdefb4effb9fdad0eaa9e0
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/27075.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${2401, -9, 15625, 512, -64, -1}$.
+Answer:
+$20 \sqrt[6]{-1} \sqrt{2} \sqrt[3]{3} 7^{2/3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/27325.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/27325.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e231dbbd57a1a64276d438204f557cc8c82c0120
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/27325.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-1000, 1, 27, -16807, 10}$.
+Answer:
+$7\ 3^{3/5} 10^{4/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/27739.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/27739.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c75b50cc978a9d68c44bdd88ab161be391c97e5f
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/27739.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${1, 7}$.
+Answer:
+$\sqrt{7}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/27879.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/27879.txt
new file mode 100644
index 0000000000000000000000000000000000000000..464feaa99a5f125ece9847882eca35eaf3905183
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/27879.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${1296, 343, 1000000, -8, 64, 16}$.
+Answer:
+$40 \sqrt[6]{-1} 2^{5/6} 3^{2/3} \sqrt{7}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/29307.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/29307.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f45f44750db2fbaeb203b591f662dc4093c37c1e
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/29307.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-4, 1, -4, 16}$.
+Answer:
+$4$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/30021.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/30021.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6878705497d2eebfa847679c9c9999100d8a1173
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/30021.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${9, 49, -64, 36}$.
+Answer:
+$(6+6 i) \sqrt{14}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/30805.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/30805.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e41a6d30c22747186e4a37dd0c3df40241d2669d
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/30805.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${1, 49, 64, -125}$.
+Answer:
+$(2+2 i) 5^{3/4} \sqrt{7}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/31616.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/31616.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7bedf73289af1683985d6cc06724644b278952c8
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/31616.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${2, 512, 1000}$.
+Answer:
+$80 \sqrt[3]{2}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/31693.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/31693.txt
new file mode 100644
index 0000000000000000000000000000000000000000..57367d3eb2019eae46dda1b1a923e2c6f8ed7b44
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/31693.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${216, 8, 9, -32, 729}$.
+Answer:
+$36 \sqrt[5]{-6}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/32280.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/32280.txt
new file mode 100644
index 0000000000000000000000000000000000000000..95aec4fef9ee6df80c4a0f4206c38d532f56b2f1
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/32280.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${1, 10, 3}$.
+Answer:
+$\sqrt[3]{30}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/32524.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/32524.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f51129ea1cace2f20523bbef0db9dc1a0f593969
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/32524.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${64, 6}$.
+Answer:
+$8 \sqrt{6}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/33638.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/33638.txt
new file mode 100644
index 0000000000000000000000000000000000000000..03c972d552fef9b5d17a3e23dd262981adfa657a
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/33638.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${25, -1000, -512, 32, 10}$.
+Answer:
+$40\ 2^{3/5} \sqrt[5]{5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/33894.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/33894.txt
new file mode 100644
index 0000000000000000000000000000000000000000..07a09019f384077cf06007213463b37bae0bd275
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/33894.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${125, 36, 16}$.
+Answer:
+$20\ 3^{2/3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/35966.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/35966.txt
new file mode 100644
index 0000000000000000000000000000000000000000..34a05e489039d015b9ce43e26136533b5e53321c
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/35966.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-343, -729, -1, 25, 243}$.
+Answer:
+$9 \sqrt[5]{-3} 5^{2/5} 7^{3/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/36565.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/36565.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ea1a3d57191280a7cb32b569dbafebe0ff1a5285
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/36565.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-1, 2, 49, 343}$.
+Answer:
+$7 \sqrt[4]{-14}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/40710.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/40710.txt
new file mode 100644
index 0000000000000000000000000000000000000000..da4a3716df83874dd92a2c82947683532aef1b5d
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/40710.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${8, 10}$.
+Answer:
+$4 \sqrt{5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/40953.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/40953.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8ea416b3c1674871c0fd40865eacedf7a0778836
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/40953.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${10, 9}$.
+Answer:
+$3 \sqrt{10}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/41706.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/41706.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7450a44ec6bf07c177604c975677dca3ec9a9082
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/41706.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${1, -125, 36}$.
+Answer:
+$5 \sqrt[3]{-1} 6^{2/3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/43529.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/43529.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bb78d607c392eab5a8ac68097994b941d6a64f84
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/43529.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-27, 4, -1}$.
+Answer:
+$3\ 2^{2/3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/43749.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/43749.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9c1c8894d88a91e14dc66e01b10b10a0848f9805
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/43749.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-343, -5, -64, 10000, -1}$.
+Answer:
+$20\ 7^{3/5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/45221.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/45221.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7077b48431e2b6f85441d39b8bc9700c12cc1e15
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/45221.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${7, 64}$.
+Answer:
+$8 \sqrt{7}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/4544.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/4544.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cc9e888231aebd52e1a78922e2416b1e0ba39c21
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/4544.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${6, 4096, -8, 81}$.
+Answer:
+$48 \sqrt[4]{-3}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/46192.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/46192.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0f2235fcf2b20f1a86d3766236f062d8a18d1d11
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/46192.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${81, 25}$.
+Answer:
+$45$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/47168.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/47168.txt
new file mode 100644
index 0000000000000000000000000000000000000000..851c0443ef9c859f3314d37921c25cc4b452f55b
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/47168.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${16, 7, 531441, 4, 64, 1}$.
+Answer:
+$36 \sqrt[6]{7}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/493.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/493.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2e3478a982947bc80584dd5cf092dcd54c329d66
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/493.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${-1, 9, -10, -243, 64, 25}$.
+Answer:
+$6 \sqrt[6]{-6} \sqrt{5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/7812.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/7812.txt
new file mode 100644
index 0000000000000000000000000000000000000000..66e2ec743703660343604a45567b0ea74e362f26
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/7812.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${5, 81}$.
+Answer:
+$9 \sqrt{5}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/9942.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/9942.txt
new file mode 100644
index 0000000000000000000000000000000000000000..071c40ab35259f83c8f305e56885643037bc3f63
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/9942.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${125, -27, 64}$.
+Answer:
+$60 \sqrt[3]{-1}$
\ No newline at end of file
diff --git a/pretraining/mathematica/counting_and_statistics/geometric_mean/9961.txt b/pretraining/mathematica/counting_and_statistics/geometric_mean/9961.txt
new file mode 100644
index 0000000000000000000000000000000000000000..491b1db5b798f63e5b181b6e359879da2c448849
--- /dev/null
+++ b/pretraining/mathematica/counting_and_statistics/geometric_mean/9961.txt
@@ -0,0 +1,4 @@
+Problem:
+Compute the geometric mean of ${8, -8, 64, -27, 117649, 1000}$.
+Answer:
+$28 \sqrt{30}$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/1236.txt b/pretraining/mathematica/number_theory/lcm/1236.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e3b6f94d453fae2f4519525a95a4614bfec6ed0c
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/1236.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{\frac{14}{3},4,-\frac{5}{3}\right\}$.
+Answer:
+$140$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/13203.txt b/pretraining/mathematica/number_theory/lcm/13203.txt
new file mode 100644
index 0000000000000000000000000000000000000000..351f0a59ffc9b9602317fc1cd48933bf6c3f5f2b
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/13203.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{\frac{11}{3},\frac{8}{5},-\frac{21}{5},-3\right\}$.
+Answer:
+$1848$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/14922.txt b/pretraining/mathematica/number_theory/lcm/14922.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6fedafd13c3106aa4da1fef01c09aa82588c9273
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/14922.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-1,\frac{32}{7}\right\}$.
+Answer:
+$32$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/15769.txt b/pretraining/mathematica/number_theory/lcm/15769.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8f439f5e28df9ea7d94cc53fc1839a590d6d1ea3
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/15769.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\{-2,-1\}$.
+Answer:
+$2$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/16215.txt b/pretraining/mathematica/number_theory/lcm/16215.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7bb08e5157cb41329512548173709746f159c721
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/16215.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\{0,-4\}$.
+Answer:
+$0$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/17790.txt b/pretraining/mathematica/number_theory/lcm/17790.txt
new file mode 100644
index 0000000000000000000000000000000000000000..09e3dc0d26de52bc0f64d659ebffb3048d0926e5
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/17790.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-\frac{1}{2},3\right\}$.
+Answer:
+$3$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/18854.txt b/pretraining/mathematica/number_theory/lcm/18854.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8288bf6c364e7d25e5de685919dc287d1d9cca42
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/18854.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-1,\frac{8}{3},\frac{19}{7}\right\}$.
+Answer:
+$152$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/19385.txt b/pretraining/mathematica/number_theory/lcm/19385.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bf995e35e0ead8f2cb50fb5caefe8dec4bd5111f
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/19385.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\{4,-2,2,3\}$.
+Answer:
+$12$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/19504.txt b/pretraining/mathematica/number_theory/lcm/19504.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eb56d1cc3a97c108f187c03afc3c07545f2ed901
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/19504.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{4,\frac{14}{5}\right\}$.
+Answer:
+$28$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/19950.txt b/pretraining/mathematica/number_theory/lcm/19950.txt
new file mode 100644
index 0000000000000000000000000000000000000000..08b646038ea305c40d5149e804833e4ef555d8b3
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/19950.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-\frac{23}{5},4,-\frac{12}{7},-\frac{28}{9}\right\}$.
+Answer:
+$1932$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/20891.txt b/pretraining/mathematica/number_theory/lcm/20891.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4f39ee924d4e9942a1e2f9fc8835a64ed102ac13
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/20891.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{\frac{4}{3},-4\right\}$.
+Answer:
+$4$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/24570.txt b/pretraining/mathematica/number_theory/lcm/24570.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ac305979f25dfef35ca7af4cdda7c158a774ac15
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/24570.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-\frac{4}{5},5,-2,0\right\}$.
+Answer:
+$0$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/31666.txt b/pretraining/mathematica/number_theory/lcm/31666.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a8ead3e4699dd49ef91d16173624fb05fb95b068
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/31666.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-\frac{4}{5}+\frac{i}{5},2+3 i\right\}$.
+Answer:
+$11+10 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/31724.txt b/pretraining/mathematica/number_theory/lcm/31724.txt
new file mode 100644
index 0000000000000000000000000000000000000000..39c029e9a9e3b16c422463cb1d74b91291271e2c
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/31724.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{2+i,-3+3 i,\frac{9}{5}-i\right\}$.
+Answer:
+$3+69 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/34725.txt b/pretraining/mathematica/number_theory/lcm/34725.txt
new file mode 100644
index 0000000000000000000000000000000000000000..86984ff56b977553f2eb024361c6da57861527e6
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/34725.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\{-1,-2+2 i\}$.
+Answer:
+$2+2 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/3720.txt b/pretraining/mathematica/number_theory/lcm/3720.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f6b9e5d84e4764d392e9f80452c2ec784939f30e
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/3720.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\{-1,5\}$.
+Answer:
+$5$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/42893.txt b/pretraining/mathematica/number_theory/lcm/42893.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b683cf4c0e3109bfc130682ab57bbbf687400546
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/42893.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{0,1,-2-\frac{7 i}{3},\frac{1}{2}+i\right\}$.
+Answer:
+$0$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/43009.txt b/pretraining/mathematica/number_theory/lcm/43009.txt
new file mode 100644
index 0000000000000000000000000000000000000000..100b02f793482c0e5e35981bdc8de7217ee4fffd
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/43009.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{3+i,\frac{12}{5}+\frac{2 i}{5},\frac{5}{2}+i\right\}$.
+Answer:
+$146+12 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/43857.txt b/pretraining/mathematica/number_theory/lcm/43857.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3f5d26b399de3c2ee269fc908cf896e121770ab0
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/43857.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{\frac{2}{3}+\frac{2 i}{3},\frac{9}{5}-\frac{i}{5}\right\}$.
+Answer:
+$2+18 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/44285.txt b/pretraining/mathematica/number_theory/lcm/44285.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2ae2cbd2bb45047a53496ba17bb43aedece0c977
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/44285.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-1-2 i,\frac{4}{3}-\frac{i}{3}\right\}$.
+Answer:
+$6+7 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/44413.txt b/pretraining/mathematica/number_theory/lcm/44413.txt
new file mode 100644
index 0000000000000000000000000000000000000000..10d97bebb82434fd4c226e7f4a0de7168520a3c5
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/44413.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{1+i,\frac{6}{5}-2 i,-\frac{8}{3}+i\right\}$.
+Answer:
+$98+18 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/47167.txt b/pretraining/mathematica/number_theory/lcm/47167.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0482c3bda0246b053c4d3b10d016efe6163614c5
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/47167.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-\frac{1}{2}-2 i,-1-\frac{6 i}{5},-\frac{1}{3}+i\right\}$.
+Answer:
+$59+83 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/47235.txt b/pretraining/mathematica/number_theory/lcm/47235.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cbc15c27f11f7531ae255e88604728b5ff7b87c9
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/47235.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{-\frac{12}{5}+\frac{11 i}{5},1-2 i\right\}$.
+Answer:
+$16+3 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/5377.txt b/pretraining/mathematica/number_theory/lcm/5377.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e5b40c04422887f33f58c6b92f287c178b173176
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/5377.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{\frac{1}{3}-\frac{2 i}{3},-\frac{1}{2}+\frac{i}{2},-1+\frac{3 i}{5},-1-i\right\}$.
+Answer:
+$1+13 i$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/7954.txt b/pretraining/mathematica/number_theory/lcm/7954.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9bc6279dfac8b6870eea2b0a3e1ed2a523d2b346
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/7954.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{0,\frac{5}{2}-\frac{i}{2}\right\}$.
+Answer:
+$0$
\ No newline at end of file
diff --git a/pretraining/mathematica/number_theory/lcm/9280.txt b/pretraining/mathematica/number_theory/lcm/9280.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5799caaf2ee0b4cc66377d93bd02868462f49dcc
--- /dev/null
+++ b/pretraining/mathematica/number_theory/lcm/9280.txt
@@ -0,0 +1,4 @@
+Problem:
+Find the least common multiple of $\left\{\frac{8 i}{3},-i,0\right\}$.
+Answer:
+$0$
\ No newline at end of file