diff --git a/pretraining/mathematica/algebra/log_equations/10768.txt b/pretraining/mathematica/algebra/log_equations/10768.txt
new file mode 100644
index 0000000000000000000000000000000000000000..69592a15793565f53f1518427dd204ff8b32ee26
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/10768.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x+\frac{15}{2}\right)}{\log (8)}+\frac{\log (-24 x-18)}{\log (8)}=\frac{\log (12 x+13)}{\log (8)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{24} \left(-105-\sqrt{7473}\right)\right\},\left\{x\to \frac{1}{24} \left(-105+\sqrt{7473}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/11303.txt b/pretraining/mathematica/algebra/log_equations/11303.txt
new file mode 100644
index 0000000000000000000000000000000000000000..34b8fbf91411fde28b30694dd0eb41260e5211ab
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/11303.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+20)}{\log (5)}+\frac{\log (5 x-23)}{\log (5)}=\frac{\log (15 x-21)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{5} \left(-31-2 \sqrt{789}\right)\right\},\left\{x\to \frac{1}{5} \left(-31+2 \sqrt{789}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/11920.txt b/pretraining/mathematica/algebra/log_equations/11920.txt
new file mode 100644
index 0000000000000000000000000000000000000000..27e1130e97911439209dade2621fa0842707904a
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/11920.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-12)}{\log (7)}+\frac{\log (10-23 x)}{\log (7)}=\frac{\log (9-9 x)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{46} \left(295-\sqrt{75157}\right)\right\},\left\{x\to \frac{1}{46} \left(295+\sqrt{75157}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/14122.txt b/pretraining/mathematica/algebra/log_equations/14122.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2cb50d3deab72dbd0ffa23e814c7bb6ef3676133
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/14122.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+21)}{\log (5)}+\frac{\log (-7 x-14)}{\log (5)}=\frac{\log (23-x)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{7} \left(-80-\sqrt{4181}\right)\right\},\left\{x\to \frac{1}{7} \left(-80+\sqrt{4181}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/14148.txt b/pretraining/mathematica/algebra/log_equations/14148.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ac41e64b07642eb5fbeabaa86d66ab7708db289d
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/14148.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+24)}{\log (6)}+\frac{\log (-13 x-2)}{\log (6)}=\frac{\log (15 x-16)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{26} \left(-329-\sqrt{106577}\right)\right\},\left\{x\to \frac{1}{26} \left(-329+\sqrt{106577}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/14898.txt b/pretraining/mathematica/algebra/log_equations/14898.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e341a4005f2a56b19743c47eba392de65f1f563b
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/14898.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x-\frac{34}{5}\right)}{\log (2)}+\frac{\log \left(\frac{48 x}{5}+11\right)}{\log (2)}=\frac{\log \left(\frac{91 x}{5}-\frac{88}{5}\right)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{120} \left(453-\sqrt{291009}\right)\right\},\left\{x\to \frac{1}{120} \left(453+\sqrt{291009}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/1564.txt b/pretraining/mathematica/algebra/log_equations/1564.txt
new file mode 100644
index 0000000000000000000000000000000000000000..46a0b0a216c5302528e0b3421007842ecc9ad005
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/1564.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+9)}{\log (4)}+\frac{\log \left(22-\frac{11 x}{4}\right)}{\log (4)}=\frac{\log \left(20 x+\frac{23}{2}\right)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{22} \left(-91-\sqrt{41105}\right)\right\},\left\{x\to \frac{1}{22} \left(-91+\sqrt{41105}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/16260.txt b/pretraining/mathematica/algebra/log_equations/16260.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d54253908a7979ab31e20250a0148f456a6dbb80
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/16260.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-17)}{\log (8)}+\frac{\log (-16 x-9)}{\log (8)}=\frac{\log (1-20 x)}{\log (8)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{32} \left(283-7 \sqrt{1833}\right)\right\},\left\{x\to \frac{1}{32} \left(283+7 \sqrt{1833}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/16417.txt b/pretraining/mathematica/algebra/log_equations/16417.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a85eddaf010aaa015035e69ea5df433f7941d630
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/16417.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-22)}{\log (7)}+\frac{\log (24 x+23)}{\log (7)}=\frac{\log (3-19 x)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{24} \left(243-\sqrt{71265}\right)\right\},\left\{x\to \frac{1}{24} \left(243+\sqrt{71265}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/1654.txt b/pretraining/mathematica/algebra/log_equations/1654.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d29848d869e85a05249e711aaaa5621d2637aceb
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/1654.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-8)}{\log (3)}+\frac{\log (6-19 x)}{\log (3)}=\frac{\log (19 x)}{\log (3)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{38} \left(139-\sqrt{15673}\right)\right\},\left\{x\to \frac{1}{38} \left(139+\sqrt{15673}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/16961.txt b/pretraining/mathematica/algebra/log_equations/16961.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6bf747590c4f770acd8d3142dde1695eba1b414d
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/16961.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-18)}{\log (7)}+\frac{\log (1-8 x)}{\log (7)}=\frac{\log (-19 x-6)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{4} \left(41-\sqrt{1657}\right)\right\},\left\{x\to \frac{1}{4} \left(41+\sqrt{1657}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/17917.txt b/pretraining/mathematica/algebra/log_equations/17917.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6cc2c5238e6724a8f4fbb41abc1262c48cb401b8
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/17917.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+4)}{\log (9)}+\frac{\log (15 x+1)}{\log (9)}=\frac{\log (22 x+3)}{\log (9)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{30} \left(-39-\sqrt{1461}\right)\right\},\left\{x\to \frac{1}{30} \left(-39+\sqrt{1461}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/18111.txt b/pretraining/mathematica/algebra/log_equations/18111.txt
new file mode 100644
index 0000000000000000000000000000000000000000..39c9465e428ef46f80439b555de5d1903d66e958
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/18111.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+20)}{\log (5)}+\frac{\log (-9 x-20)}{\log (5)}=\frac{\log (10-7 x)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{18} \left(-193-\sqrt{22489}\right)\right\},\left\{x\to \frac{1}{18} \left(-193+\sqrt{22489}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/18567.txt b/pretraining/mathematica/algebra/log_equations/18567.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6306febaf26abcd034502e5fb4c8e5241074989a
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/18567.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-24)}{\log (5)}+\frac{\log (15-10 x)}{\log (5)}=\frac{\log (-13 x-2)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{5} \left(67-\sqrt{3594}\right)\right\},\left\{x\to \frac{1}{5} \left(67+\sqrt{3594}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/20722.txt b/pretraining/mathematica/algebra/log_equations/20722.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f9f40a90c47b79e4917faa56decb46cb2085bb27
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/20722.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+7)}{\log (4)}+\frac{\log (13 x-12)}{\log (4)}=\frac{\log (9 x+24)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{13} \left(-35-\sqrt{2629}\right)\right\},\left\{x\to \frac{1}{13} \left(-35+\sqrt{2629}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/20861.txt b/pretraining/mathematica/algebra/log_equations/20861.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5948ac3750b8325f99bc72331e344ce10f28df29
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/20861.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-12)}{\log (3)}+\frac{\log (-6 x-6)}{\log (3)}=\frac{\log (12 x-8)}{\log (3)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \left(27-\sqrt{1209}\right)\right\},\left\{x\to \frac{1}{6} \left(27+\sqrt{1209}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/21044.txt b/pretraining/mathematica/algebra/log_equations/21044.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ec68dcf95173d141264239257e7cb9e2996d5036
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/21044.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+11)}{\log (2)}+\frac{\log (21 x-10)}{\log (2)}=\frac{\log (23-14 x)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{42} \left(-235-\sqrt{66397}\right)\right\},\left\{x\to \frac{1}{42} \left(-235+\sqrt{66397}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/21409.txt b/pretraining/mathematica/algebra/log_equations/21409.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d169d7de169cabf58d457972dd10c945d47dad0f
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/21409.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-1)}{\log (5)}+\frac{\log (-3 x-17)}{\log (5)}=\frac{\log (10 x+25)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{3} \left(-12-2 \sqrt{30}\right)\right\},\left\{x\to \frac{1}{3} \left(-12+2 \sqrt{30}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/21463.txt b/pretraining/mathematica/algebra/log_equations/21463.txt
new file mode 100644
index 0000000000000000000000000000000000000000..57ffb254b376c1aa5540f20e044b3e87e7c439d7
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/21463.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-3)}{\log (3)}+\frac{\log (15 x-10)}{\log (3)}=\frac{\log (13 x+17)}{\log (3)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{5}\right\},\left\{x\to \frac{13}{3}\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/22276.txt b/pretraining/mathematica/algebra/log_equations/22276.txt
new file mode 100644
index 0000000000000000000000000000000000000000..53ffe8080553fb3b7699197c58aa5892908be4f4
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/22276.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-11)}{\log (5)}+\frac{\log (x+14)}{\log (5)}=\frac{\log (-10 x-8)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{2} \left(-13-\sqrt{753}\right)\right\},\left\{x\to \frac{1}{2} \left(-13+\sqrt{753}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/22662.txt b/pretraining/mathematica/algebra/log_equations/22662.txt
new file mode 100644
index 0000000000000000000000000000000000000000..39a22b2c97257ea530058e128e73d3b858e28c12
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/22662.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-15)}{\log (4)}+\frac{\log (-10 x-11)}{\log (4)}=\frac{\log (-3 x-13)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{10} \left(71-\sqrt{6821}\right)\right\},\left\{x\to \frac{1}{10} \left(71+\sqrt{6821}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/23049.txt b/pretraining/mathematica/algebra/log_equations/23049.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b061904ef95d81801080d85bbf19b5a397d007bd
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/23049.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+3)}{\log (5)}+\frac{\log (-22 x-21)}{\log (5)}=\frac{\log \left(\frac{25 x}{2}+5\right)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{88} \left(-199-\sqrt{15665}\right)\right\},\left\{x\to \frac{1}{88} \left(-199+\sqrt{15665}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/24081.txt b/pretraining/mathematica/algebra/log_equations/24081.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d3ccc7da726d8d25021bec09fe7669bc29ed40d9
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/24081.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-6)}{\log (2)}+\frac{\log (12 x+2)}{\log (2)}=\frac{\log (14-2 x)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \left(17-\sqrt{367}\right)\right\},\left\{x\to \frac{1}{6} \left(17+\sqrt{367}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/24288.txt b/pretraining/mathematica/algebra/log_equations/24288.txt
new file mode 100644
index 0000000000000000000000000000000000000000..92deeb4655cc83aa43645360cbc90a9e0c5abdf5
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/24288.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+19)}{\log (8)}+\frac{\log (7-12 x)}{\log (8)}=\frac{\log (6 x+17)}{\log (8)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{24} \left(-227-\sqrt{57097}\right)\right\},\left\{x\to \frac{1}{24} \left(-227+\sqrt{57097}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/24448.txt b/pretraining/mathematica/algebra/log_equations/24448.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9c46849619ebe13824dfea69acf6799c7ab8b24f
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/24448.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-24)}{\log (9)}+\frac{\log (14 x-9)}{\log (9)}=\frac{\log (9 x+14)}{\log (9)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{14} \left(177-\sqrt{28501}\right)\right\},\left\{x\to \frac{1}{14} \left(177+\sqrt{28501}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/25618.txt b/pretraining/mathematica/algebra/log_equations/25618.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9a98045785a3627a7ca1cbcfbd87cfa0cb805cbe
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/25618.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+22)}{\log (9)}+\frac{\log (-17 x-21)}{\log (9)}=\frac{\log (3 x-7)}{\log (9)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{17} \left(-199-\sqrt{31866}\right)\right\},\left\{x\to \frac{1}{17} \left(-199+\sqrt{31866}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/25830.txt b/pretraining/mathematica/algebra/log_equations/25830.txt
new file mode 100644
index 0000000000000000000000000000000000000000..93b295340862fa378d3bcfd358f1bfc6a2bf3d4c
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/25830.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+20)}{\log (5)}+\frac{\log (-15 x-14)}{\log (5)}=\frac{\log (6-25 x)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{30} \left(-289-\sqrt{66361}\right)\right\},\left\{x\to \frac{1}{30} \left(-289+\sqrt{66361}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/26512.txt b/pretraining/mathematica/algebra/log_equations/26512.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d846cd91b7373b846582698fcccd1c05a69d675d
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/26512.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-17)}{\log (8)}+\frac{\log \left(\frac{95 x}{4}-\frac{19}{4}\right)}{\log (8)}=\frac{\log \left(-\frac{49 x}{2}-\frac{49}{2}\right)}{\log (8)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{95} \left(768-49 \sqrt{229}\right)\right\},\left\{x\to \frac{1}{95} \left(768+49 \sqrt{229}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/27836.txt b/pretraining/mathematica/algebra/log_equations/27836.txt
new file mode 100644
index 0000000000000000000000000000000000000000..84800c660764f69589a30b013b16050ba7709838
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/27836.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-16)}{\log (4)}+\frac{\log (-25 x-21)}{\log (4)}=\frac{\log (8 x-8)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{50} \left(371-\sqrt{172041}\right)\right\},\left\{x\to \frac{1}{50} \left(371+\sqrt{172041}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/2844.txt b/pretraining/mathematica/algebra/log_equations/2844.txt
new file mode 100644
index 0000000000000000000000000000000000000000..14f1cde17b4aa6db3085ace4ed3645164830710f
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/2844.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-16)}{\log (7)}+\frac{\log (-11 x-8)}{\log (7)}=\frac{\log (19 x+5)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{22} \left(149-\sqrt{27613}\right)\right\},\left\{x\to \frac{1}{22} \left(149+\sqrt{27613}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/29888.txt b/pretraining/mathematica/algebra/log_equations/29888.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e02b23cea0e9ae85f3552922366a49e42bcfb762
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/29888.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-12)}{\log (2)}+\frac{\log (12 x+12)}{\log (2)}=\frac{\log (12-7 x)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{24} \left(125-\sqrt{23113}\right)\right\},\left\{x\to \frac{1}{24} \left(125+\sqrt{23113}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/30479.txt b/pretraining/mathematica/algebra/log_equations/30479.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6ae4fac22a63b33cf8d2d470289d1dc3fac22a1f
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/30479.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-8)}{\log (4)}+\frac{\log (21 x-14)}{\log (4)}=\frac{\log (17 x-11)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{42} \left(199-\sqrt{29269}\right)\right\},\left\{x\to \frac{1}{42} \left(199+\sqrt{29269}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/30529.txt b/pretraining/mathematica/algebra/log_equations/30529.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6d1ad473039d895e971d2162cc294fe7010951db
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/30529.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x+\frac{108}{7}\right)}{\log (5)}+\frac{\log \left(\frac{43}{7}-15 x\right)}{\log (5)}=\frac{\log \left(\frac{167 x}{7}-\frac{145}{7}\right)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{105} \left(-872-\sqrt{845269}\right)\right\},\left\{x\to \frac{1}{105} \left(-872+\sqrt{845269}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/31378.txt b/pretraining/mathematica/algebra/log_equations/31378.txt
new file mode 100644
index 0000000000000000000000000000000000000000..515cf12e0c0404eb9a97f217c574a4db6d672f15
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/31378.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+8)}{\log (6)}+\frac{\log (-14 x-17)}{\log (6)}=\frac{\log (21 x+8)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{14} \left(-75-3 \sqrt{401}\right)\right\},\left\{x\to \frac{1}{14} \left(-75+3 \sqrt{401}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/32496.txt b/pretraining/mathematica/algebra/log_equations/32496.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4d50666fcd3d0676ecc33ca60d0187fbac928d92
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/32496.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-18)}{\log (2)}+\frac{\log (18 x+25)}{\log (2)}=\frac{\log (23 x-5)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{18} \left(161-\sqrt{33931}\right)\right\},\left\{x\to \frac{1}{18} \left(161+\sqrt{33931}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/32696.txt b/pretraining/mathematica/algebra/log_equations/32696.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0c8a023560783cd5ff6d1eb1d84610dc7fcba73c
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/32696.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+21)}{\log (7)}+\frac{\log (-17 x-5)}{\log (7)}=\frac{\log (12-6 x)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{17} \left(-178-\sqrt{29695}\right)\right\},\left\{x\to \frac{1}{17} \left(-178+\sqrt{29695}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/33876.txt b/pretraining/mathematica/algebra/log_equations/33876.txt
new file mode 100644
index 0000000000000000000000000000000000000000..34d7cbecdea23900fdf3dde73f37e0f78fdb996a
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/33876.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-20)}{\log (7)}+\frac{\log (22 x-7)}{\log (7)}=\frac{\log (-7 x)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{11} \left(110-\sqrt{11330}\right)\right\},\left\{x\to \frac{1}{11} \left(110+\sqrt{11330}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/3389.txt b/pretraining/mathematica/algebra/log_equations/3389.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ff7c26339aa1d42ee3fae4a85f7f4e5140a7908d
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/3389.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-15)}{\log (2)}+\frac{\log (3 x+22)}{\log (2)}=\frac{\log (8 x+20)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \left(31-\sqrt{5161}\right)\right\},\left\{x\to \frac{1}{6} \left(31+\sqrt{5161}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/34082.txt b/pretraining/mathematica/algebra/log_equations/34082.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e13151fc0e2b4af93f96f5c1954c527771b9c7e4
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/34082.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-12)}{\log (2)}+\frac{\log (15-x)}{\log (2)}=\frac{\log (-6 x-9)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{2} \left(33-9 \sqrt{5}\right)\right\},\left\{x\to \frac{1}{2} \left(33+9 \sqrt{5}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/34151.txt b/pretraining/mathematica/algebra/log_equations/34151.txt
new file mode 100644
index 0000000000000000000000000000000000000000..229379c25c2bac3718fa671addf09ae3f2d37c33
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/34151.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x-\frac{14}{5}\right)}{\log (7)}+\frac{\log \left(-\frac{114 x}{5}-\frac{13}{5}\right)}{\log (7)}=\frac{\log \left(\frac{23}{5}-\frac{41 x}{5}\right)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{570} \left(868-\sqrt{791614}\right)\right\},\left\{x\to \frac{1}{570} \left(868+\sqrt{791614}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/35.txt b/pretraining/mathematica/algebra/log_equations/35.txt
new file mode 100644
index 0000000000000000000000000000000000000000..deb8e4545ef345a449e586b15f16eb734907c31c
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/35.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+6)}{\log (6)}+\frac{\log (4-18 x)}{\log (6)}=\frac{\log (-11 x-3)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{12} \left(-31-\sqrt{1177}\right)\right\},\left\{x\to \frac{1}{12} \left(-31+\sqrt{1177}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/35245.txt b/pretraining/mathematica/algebra/log_equations/35245.txt
new file mode 100644
index 0000000000000000000000000000000000000000..560ea756cc8c596b8ce9778e18f8c049c80832f7
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/35245.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x+\frac{13}{2}\right)}{\log (5)}+\frac{\log \left(\frac{27 x}{2}-7\right)}{\log (5)}=\frac{\log \left(13 x+\frac{15}{2}\right)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{108} \left(-271-\sqrt{119233}\right)\right\},\left\{x\to \frac{1}{108} \left(-271+\sqrt{119233}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/35831.txt b/pretraining/mathematica/algebra/log_equations/35831.txt
new file mode 100644
index 0000000000000000000000000000000000000000..57c3b04eb9416271b0a1920e671f222e0d7ca2aa
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/35831.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+6)}{\log (4)}+\frac{\log (10-4 x)}{\log (4)}=\frac{\log (-19 x-7)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{8} \left(5-\sqrt{1097}\right)\right\},\left\{x\to \frac{1}{8} \left(5+\sqrt{1097}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/36857.txt b/pretraining/mathematica/algebra/log_equations/36857.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ac51ebbab3834ac4c10b897816650ad64815a888
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/36857.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-24)}{\log (2)}+\frac{\log (4 x+23)}{\log (2)}=\frac{\log (13 x+8)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{4} \left(43-\sqrt{4089}\right)\right\},\left\{x\to \frac{1}{4} \left(43+\sqrt{4089}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/37174.txt b/pretraining/mathematica/algebra/log_equations/37174.txt
new file mode 100644
index 0000000000000000000000000000000000000000..685de16fb5bba40a0a0253553b8f6e1ef5952aaa
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/37174.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+4)}{\log (5)}+\frac{\log (21-24 x)}{\log (5)}=\frac{\log (24 x+5)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{48} \left(-99-\sqrt{17385}\right)\right\},\left\{x\to \frac{1}{48} \left(-99+\sqrt{17385}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/3761.txt b/pretraining/mathematica/algebra/log_equations/3761.txt
new file mode 100644
index 0000000000000000000000000000000000000000..00a6b1f7650702316416816e67bbd5e21a514bca
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/3761.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+23)}{\log (6)}+\frac{\log (20-18 x)}{\log (6)}=\frac{\log (-9 x-16)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{36} \left(-385-29 \sqrt{217}\right)\right\},\left\{x\to \frac{1}{36} \left(-385+29 \sqrt{217}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/37826.txt b/pretraining/mathematica/algebra/log_equations/37826.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5965d6396ef7a341fcd9684fc95e340e55604dee
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/37826.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+4)}{\log (3)}+\frac{\log (x+4)}{\log (3)}=\frac{\log (11-18 x)}{\log (3)}$
+Answer:
+$\left\{\left\{x\to -13-2 \sqrt{41}\right\},\left\{x\to -13+2 \sqrt{41}\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/37989.txt b/pretraining/mathematica/algebra/log_equations/37989.txt
new file mode 100644
index 0000000000000000000000000000000000000000..81e3da0e618afacf3da82b92e382ce19a62cddc4
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/37989.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-5)}{\log (4)}+\frac{\log (21 x+1)}{\log (4)}=\frac{\log (2 x+7)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{21} \left(53-\sqrt{3061}\right)\right\},\left\{x\to \frac{1}{21} \left(53+\sqrt{3061}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/38738.txt b/pretraining/mathematica/algebra/log_equations/38738.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fdb551494fb8bc31091ce2dcf73aaea0c30ad8f3
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/38738.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-16)}{\log (2)}+\frac{\log (8 x-23)}{\log (2)}=\frac{\log (x)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{2} \left(19-\sqrt{177}\right)\right\},\left\{x\to \frac{1}{2} \left(19+\sqrt{177}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/39066.txt b/pretraining/mathematica/algebra/log_equations/39066.txt
new file mode 100644
index 0000000000000000000000000000000000000000..84b65e16bf5fb4a7e2e06eccfd1eb84dc40f4841
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/39066.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x+\frac{46}{3}\right)}{\log (9)}+\frac{\log \left(\frac{17 x}{3}+\frac{11}{3}\right)}{\log (9)}=\frac{\log \left(\frac{47}{3}-\frac{7 x}{3}\right)}{\log (9)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{51} \left(-418-\sqrt{156109}\right)\right\},\left\{x\to \frac{1}{51} \left(-418+\sqrt{156109}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/40046.txt b/pretraining/mathematica/algebra/log_equations/40046.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f2d39e1bfccd97e0ac84276a0c7ca99ff37cf76e
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/40046.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+7)}{\log (9)}+\frac{\log (-11 x-14)}{\log (9)}=\frac{\log (2-12 x)}{\log (9)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{22} \left(-79-\sqrt{1841}\right)\right\},\left\{x\to \frac{1}{22} \left(-79+\sqrt{1841}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/40944.txt b/pretraining/mathematica/algebra/log_equations/40944.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9cf97b8c5850cf15af3dd0881417bb135fad5e30
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/40944.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+9)}{\log (9)}+\frac{\log (17 x-17)}{\log (9)}=\frac{\log (21 x-16)}{\log (9)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{34} \left(-115-\sqrt{22541}\right)\right\},\left\{x\to \frac{1}{34} \left(-115+\sqrt{22541}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/41081.txt b/pretraining/mathematica/algebra/log_equations/41081.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1f42239970c1a4b314bf599b3108477b29833dd4
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/41081.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+11)}{\log (2)}+\frac{\log (2-12 x)}{\log (2)}=\frac{\log (10 x+6)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \left(-35-\sqrt{1273}\right)\right\},\left\{x\to \frac{1}{6} \left(-35+\sqrt{1273}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/41635.txt b/pretraining/mathematica/algebra/log_equations/41635.txt
new file mode 100644
index 0000000000000000000000000000000000000000..627a9ece70221bf8b4ceb46839f89e970d5c8087
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/41635.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-18)}{\log (2)}+\frac{\log (3-23 x)}{\log (2)}=\frac{\log (-14 x-6)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{46} \left(431-\sqrt{181345}\right)\right\},\left\{x\to \frac{1}{46} \left(431+\sqrt{181345}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/43321.txt b/pretraining/mathematica/algebra/log_equations/43321.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7bac9978a0e0857919e555fae52cbfb678282735
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/43321.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-12)}{\log (7)}+\frac{\log (10-24 x)}{\log (7)}=\frac{\log (15 x-8)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{48} \left(283-\sqrt{69337}\right)\right\},\left\{x\to \frac{1}{48} \left(283+\sqrt{69337}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/44298.txt b/pretraining/mathematica/algebra/log_equations/44298.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ee9c97e154b8e9a264414f15f33c187cc265e34b
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/44298.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+19)}{\log (2)}+\frac{\log (-6 x)}{\log (2)}=\frac{\log (-23 x-24)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{12} \left(-91-\sqrt{8857}\right)\right\},\left\{x\to \frac{1}{12} \left(-91+\sqrt{8857}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/44936.txt b/pretraining/mathematica/algebra/log_equations/44936.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e03b6b1fdb2c5dad150a43a0c2b16dc2905b0620
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/44936.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-13)}{\log (3)}+\frac{\log (18 x-20)}{\log (3)}=\frac{\log (2 x+5)}{\log (3)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{18} \left(128-\sqrt{11794}\right)\right\},\left\{x\to \frac{1}{18} \left(128+\sqrt{11794}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/45489.txt b/pretraining/mathematica/algebra/log_equations/45489.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4bb0683039cfeed7285ee3d8612ffe17575ad184
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/45489.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x-\frac{45}{2}\right)}{\log (5)}+\frac{\log \left(\frac{47}{2}-2 x\right)}{\log (5)}=\frac{\log (24-2 x)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{8} \left(141-\sqrt{2193}\right)\right\},\left\{x\to \frac{1}{8} \left(141+\sqrt{2193}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/45502.txt b/pretraining/mathematica/algebra/log_equations/45502.txt
new file mode 100644
index 0000000000000000000000000000000000000000..47e505f9d908f92055dfc194239fe33e5d55e56f
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/45502.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x)}{\log (6)}+\frac{\log (12-7 x)}{\log (6)}=\frac{\log (11 x-2)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{14} \left(1-\sqrt{57}\right)\right\},\left\{x\to \frac{1}{14} \left(1+\sqrt{57}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/45894.txt b/pretraining/mathematica/algebra/log_equations/45894.txt
new file mode 100644
index 0000000000000000000000000000000000000000..53e282c46bf73da21ea75439f49010b3c4a1e5b2
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/45894.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+6)}{\log (7)}+\frac{\log (12 x-19)}{\log (7)}=\frac{\log (-18 x-24)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{24} \left(-71-\sqrt{9361}\right)\right\},\left\{x\to \frac{1}{24} \left(-71+\sqrt{9361}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/46784.txt b/pretraining/mathematica/algebra/log_equations/46784.txt
new file mode 100644
index 0000000000000000000000000000000000000000..813129d6a17be9ab1cdcdc3f9df65bf993f6b9b0
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/46784.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-2)}{\log (6)}+\frac{\log (6 x+24)}{\log (6)}=\frac{\log (-21 x-24)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{4} \left(-11-\sqrt{185}\right)\right\},\left\{x\to \frac{1}{4} \left(-11+\sqrt{185}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/48762.txt b/pretraining/mathematica/algebra/log_equations/48762.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f707eeb8535051e323a341fefe6e341a702ee4e6
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/48762.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-10)}{\log (8)}+\frac{\log (6-23 x)}{\log (8)}=\frac{\log (-22 x-11)}{\log (8)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{23} \left(129-\sqrt{15514}\right)\right\},\left\{x\to \frac{1}{23} \left(129+\sqrt{15514}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/48952.txt b/pretraining/mathematica/algebra/log_equations/48952.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f5978ad719edb97595356d21de51d80a993dd50b
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/48952.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+18)}{\log (4)}+\frac{\log (-23 x-15)}{\log (4)}=\frac{\log (-3 x-22)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{23} \left(-213-\sqrt{39665}\right)\right\},\left\{x\to \frac{1}{23} \left(-213+\sqrt{39665}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/49294.txt b/pretraining/mathematica/algebra/log_equations/49294.txt
new file mode 100644
index 0000000000000000000000000000000000000000..21183613604e795cd0c655a0cffad9f69d5b9c8f
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/49294.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-5)}{\log (6)}+\frac{\log (21-25 x)}{\log (6)}=\frac{\log (-4 x)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{5} \left(15-2 \sqrt{30}\right)\right\},\left\{x\to \frac{1}{5} \left(15+2 \sqrt{30}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/49480.txt b/pretraining/mathematica/algebra/log_equations/49480.txt
new file mode 100644
index 0000000000000000000000000000000000000000..37c7ff4d508a8ccad7ce3ad3aea97e333f19ca8f
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/49480.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-2)}{\log (3)}+\frac{\log (21-12 x)}{\log (3)}=\frac{\log (-3 x-16)}{\log (3)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \left(12-\sqrt{66}\right)\right\},\left\{x\to \frac{1}{6} \left(12+\sqrt{66}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/49531.txt b/pretraining/mathematica/algebra/log_equations/49531.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2e2e7ff044c2c4a94d9abf0214a4f809d602cec2
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/49531.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-3)}{\log (6)}+\frac{\log (20 x+14)}{\log (6)}=\frac{\log (-24 x-12)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{20} \left(11-\sqrt{721}\right)\right\},\left\{x\to \frac{1}{20} \left(11+\sqrt{721}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/49916.txt b/pretraining/mathematica/algebra/log_equations/49916.txt
new file mode 100644
index 0000000000000000000000000000000000000000..be9ead36558090b713816fe58dc536a6cb82f09e
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/49916.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log \left(x-\frac{33}{2}\right)}{\log (5)}+\frac{\log \left(-17 x-\frac{45}{2}\right)}{\log (5)}=\frac{\log \left(22 x+\frac{37}{2}\right)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{34} \left(236-\sqrt{79683}\right)\right\},\left\{x\to \frac{1}{34} \left(236+\sqrt{79683}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/5233.txt b/pretraining/mathematica/algebra/log_equations/5233.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d8ab8b6eec8bfea083c115dafe98a4d79205e007
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/5233.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+16)}{\log (6)}+\frac{\log (-12 x-15)}{\log (6)}=\frac{\log (21-23 x)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \left(-46-\sqrt{1333}\right)\right\},\left\{x\to \frac{1}{6} \left(-46+\sqrt{1333}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/5280.txt b/pretraining/mathematica/algebra/log_equations/5280.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9bbfaaf15838786ed17a809b43bd129fdc88c17a
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/5280.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+10)}{\log (2)}+\frac{\log (-4 x-18)}{\log (2)}=\frac{\log (9 x+1)}{\log (2)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{8} \left(-67-3 \sqrt{177}\right)\right\},\left\{x\to \frac{1}{8} \left(-67+3 \sqrt{177}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/5530.txt b/pretraining/mathematica/algebra/log_equations/5530.txt
new file mode 100644
index 0000000000000000000000000000000000000000..03b1d1c612ba08ee1d5b76ed84d775a5a6e5dcad
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/5530.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-13)}{\log (7)}+\frac{\log (x+9)}{\log (7)}=\frac{\log (-11 x-17)}{\log (7)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{2} \left(-7-\sqrt{449}\right)\right\},\left\{x\to \frac{1}{2} \left(-7+\sqrt{449}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/6058.txt b/pretraining/mathematica/algebra/log_equations/6058.txt
new file mode 100644
index 0000000000000000000000000000000000000000..db368e1260aef03b169ff1c51cb447196683a18e
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/6058.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-23)}{\log (5)}+\frac{\log (21 x+20)}{\log (5)}=\frac{\log (17 x-6)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{21} \left(240-\sqrt{67134}\right)\right\},\left\{x\to \frac{1}{21} \left(240+\sqrt{67134}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/632.txt b/pretraining/mathematica/algebra/log_equations/632.txt
new file mode 100644
index 0000000000000000000000000000000000000000..18c20bf08d1f26d7e44435e2c80b6c2691a48ce9
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/632.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+18)}{\log (3)}+\frac{\log (-4 x-21)}{\log (3)}=\frac{\log (12-9 x)}{\log (3)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{2} \left(-21-\sqrt{51}\right)\right\},\left\{x\to \frac{1}{2} \left(-21+\sqrt{51}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/7543.txt b/pretraining/mathematica/algebra/log_equations/7543.txt
new file mode 100644
index 0000000000000000000000000000000000000000..17b63dcd261b5ab19563ad44e141b5a6410b9ca8
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/7543.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+11)}{\log (6)}+\frac{\log (-25 x-24)}{\log (6)}=\frac{\log (17 x+7)}{\log (6)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{25} \left(-158-3 \sqrt{2021}\right)\right\},\left\{x\to \frac{1}{25} \left(-158+3 \sqrt{2021}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/7545.txt b/pretraining/mathematica/algebra/log_equations/7545.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2d67a557f577e8e27129cc65b141916c016c42c8
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/7545.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x+15)}{\log (4)}+\frac{\log (-14 x-1)}{\log (4)}=\frac{\log (-14 x-16)}{\log (4)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{28} \left(-197-\sqrt{38865}\right)\right\},\left\{x\to \frac{1}{28} \left(-197+\sqrt{38865}\right)\right\}\right\}$
\ No newline at end of file
diff --git a/pretraining/mathematica/algebra/log_equations/8468.txt b/pretraining/mathematica/algebra/log_equations/8468.txt
new file mode 100644
index 0000000000000000000000000000000000000000..80be832c025c09090ea93a23eb80d099132bd915
--- /dev/null
+++ b/pretraining/mathematica/algebra/log_equations/8468.txt
@@ -0,0 +1,4 @@
+Problem:
+Find all real solutions to $\frac{\log (x-9)}{\log (5)}+\frac{\log (19 x+2)}{\log (5)}=\frac{\log (24-16 x)}{\log (5)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{38} \left(153-\sqrt{26601}\right)\right\},\left\{x\to \frac{1}{38} \left(153+\sqrt{26601}\right)\right\}\right\}$
\ No newline at end of file