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pretraining/mathematica/algebra/invert_function/1127.txt

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+Problem:
+Find the inverse of the following function: $-\tan ^{-1}(8 x+3)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\frac{\tan (y)}{8}-\frac{3}{8}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1220.txt

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+Problem:
+Find the inverse of the following function: $\tan ^{-1}(9-x)$
+Answer:
+$\left\{\left\{x\to \fbox{$9-\tan (y)\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1269.txt

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+Problem:
+Find the inverse of the following function: $\sinh (6 x)$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \sinh ^{-1}(y)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1337.txt

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+Problem:
+Find the inverse of the following function: $-\sinh (x+1)$
+Answer:
+$\left\{\left\{x\to -\sinh ^{-1}(y)-1\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1477.txt

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+Problem:
+Find the inverse of the following function: $\sin ^{-1}\left(\frac{25}{3}-\frac{20 x}{3}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{20} (25-3 \sin (y))\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1487.txt

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+Problem:
+Find the inverse of the following function: $\frac{1}{5 x-6}$
+Answer:
+$\left\{\left\{x\to \frac{6 y+1}{5 y}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1749.txt

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+Problem:
+Find the inverse of the following function: $-\tanh \left(\frac{19}{3}-\frac{23 x}{3}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{3}{23} \tanh ^{-1}(y)+\frac{19}{23}\text{ if }-1<y<1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2012.txt

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+Problem:
+Find the inverse of the following function: $\tanh \left(\cos ^{-1}\left(\frac{13}{3}-\frac{16 x}{3}\right)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{16} \left(13-3 \cos \left(\tanh ^{-1}(y)\right)\right)\text{ if }0\leq y\leq \tanh (\pi )$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2040.txt

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+Problem:
+Find the inverse of the following function: $\sqrt[3]{e^{1-8 x}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{3}{8} \log \left(\frac{\sqrt[3]{e}}{y}\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2065.txt

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+Problem:
+Find the inverse of the following function: $\sin (1-x)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\sin ^{-1}(y)-2 \pi  c_1+1\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\},\left\{x\to \fbox{$\sin ^{-1}(y)-2 \pi  c_1-\pi +1\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2222.txt

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+Problem:
+Find the inverse of the following function: $e^{8 x-\frac{13}{3}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{8} \log \left(e^{13/3} y\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2361.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{\sinh \left(\frac{17 x}{2}+3\right)}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{2}{17} \sinh ^{-1}\left(y^2\right)-\frac{6}{17}\text{ if }y\geq 0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2477.txt

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+Problem:
+Find the inverse of the following function: $\log (9 x-1)$
+Answer:
+$\left\{\left\{x\to \frac{1}{9} \left(e^y+1\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2563.txt

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+Problem:
+Find the inverse of the following function: $\sqrt[3]{7 x-4}$
+Answer:
+$\left\{\left\{x\to \frac{1}{7} \left(y^3+4\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2734.txt

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+Problem:
+Find the inverse of the following function: $-\tanh (8 x)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\frac{1}{8} \tanh ^{-1}(y)\text{ if }-1<y<1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2778.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{4 x+1}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{4} \left(y^2-1\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3032.txt

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+Problem:
+Find the inverse of the following function: $-\tan ^{-1}(8-7 x)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{\tan (y)}{7}+\frac{8}{7}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3055.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}\left(-\tan ^{-1}(4 x+3)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\frac{1}{4} \tan (\cos (y))-\frac{3}{4}\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3436.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{-2 x-6}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{2} \left(-y^2-6\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3918.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}\left(\sin ^{-1}\left(\frac{3 x}{2}+\frac{1}{2}\right)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{3} (2 \sin (\cos (y))-1)\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4628.txt

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+Problem:
+Find the inverse of the following function: $-\sqrt{8 x^2+8}-6 x+8$
+Answer:
+$\left\{\left\{x\to -\frac{\sqrt{y^2-16 y+92}}{7 \sqrt{2}}-\frac{3}{14} (y-8)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4746.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{-\frac{5 x}{2}-3}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} \left(-2 y^2-6\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4830.txt

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+Problem:
+Find the inverse of the following function: $\log (\log (-7 x-2))$
+Answer:
+$\left\{\left\{x\to \frac{1}{7} \left(-e^{e^y}-2\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4835.txt

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+Problem:
+Find the inverse of the following function: $-\tan ^{-1}(6 x+3)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\frac{\tan (y)}{6}-\frac{1}{2}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4984.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}(5-6 x)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{6} (5-\cos (y))\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5050.txt

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+Problem:
+Find the inverse of the following function: $\log (3 x+4)$
+Answer:
+$\left\{\left\{x\to \frac{1}{3} \left(e^y-4\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5130.txt

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+Problem:
+Find the inverse of the following function: $e^{x^2-5}$
+Answer:
+$\left\{\left\{x\to \fbox{$-\sqrt{\log (y)+5}\text{ if }y\geq \frac{1}{e^5}$}\right\},\left\{x\to \fbox{$\sqrt{\log (y)+5}\text{ if }y\geq \frac{1}{e^5}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5189.txt

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+Problem:
+Find the inverse of the following function: $-\tanh \left(\frac{12}{5}-\frac{34 x}{5}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{5}{34} \tanh ^{-1}(y)+\frac{6}{17}\text{ if }-1<y<1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5340.txt

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+Problem:
+Find the inverse of the following function: $\sinh \left(6-\frac{3 x}{2}\right)$
+Answer:
+$\left\{\left\{x\to 4-\frac{2}{3} \sinh ^{-1}(y)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5407.txt

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+Problem:
+Find the inverse of the following function: $-\sin ^{-1}\left(\frac{14 x}{3}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\frac{3 \sin (y)}{14}\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5833.txt

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+Problem:
+Find the inverse of the following function: $\sin ^{-1}\left(\tan ^{-1}\left(\frac{7}{2}-\frac{11 x}{2}\right)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{7}{11}-\frac{2}{11} \tan (\sin (y))\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5862.txt

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+Problem:
+Find the inverse of the following function: $\log (8-6 x)$
+Answer:
+$\left\{\left\{x\to \frac{1}{6} \left(8-e^y\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5939.txt

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+Problem:
+Find the inverse of the following function: $\log (5-9 x)$
+Answer:
+$\left\{\left\{x\to \frac{1}{9} \left(5-e^y\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5990.txt

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+Problem:
+Find the inverse of the following function: $e^{-\sinh \left(\frac{7}{2}-\frac{x}{2}\right)}$
+Answer:
+$\left\{\left\{x\to \fbox{$7-2 \log \left(\log \left(\frac{1}{y}\right)+\sqrt{\log ^2\left(\frac{1}{y}\right)+1}\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6050.txt

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+Problem:
+Find the inverse of the following function: $\tanh \left(4 x+\frac{7}{2}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{4} \tanh ^{-1}(y)-\frac{7}{8}\text{ if }-1<y<1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6054.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{9 x-6}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{9} \left(y^2+6\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6138.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}(5 x+4)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} (\cos (y)-4)\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/631.txt

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+Problem:
+Find the inverse of the following function: $e^{4 x}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{\log (y)}{4}\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/643.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}\left(e^{-\frac{9 x}{2}-\frac{11}{2}}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{9} (-2 \log (\cos (y))-11)\text{ if }0\leq y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6439.txt

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+Problem:
+Find the inverse of the following function: $\log \left(8 x-\frac{7}{2}\right)$
+Answer:
+$\left\{\left\{x\to \frac{1}{16} \left(2 e^y+7\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6571.txt

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+Problem:
+Find the inverse of the following function: $\sinh \left(\sqrt{3 x+\frac{16}{3}}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{9} \left(3 \sinh ^{-1}(y)^2-16\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6694.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{\sinh (7 x+9)}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{7} \sinh ^{-1}\left(y^2\right)-\frac{9}{7}\text{ if }y\geq 0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6728.txt

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+Problem:
+Find the inverse of the following function: $\sqrt[3]{-7 x-4}$
+Answer:
+$\left\{\left\{x\to \frac{1}{7} \left(-y^3-4\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6736.txt

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+Problem:
+Find the inverse of the following function: $-\tan ^{-1}(7-4 x)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{\tan (y)}{4}+\frac{7}{4}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6851.txt

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+Problem:
+Find the inverse of the following function: $\sin ^{-1}(4-6 x)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{6} (4-\sin (y))\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/7122.txt

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+Problem:
+Find the inverse of the following function: $\sin ^{-1}\left(\sinh \left(2-\frac{x}{5}\right)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$10-5 \sinh ^{-1}(\sin (y))\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/7136.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{7-2 x}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{2} \left(7-y^2\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/7162.txt

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+Problem:
+Find the inverse of the following function: $\frac{\coth \left(8-\frac{13 x}{2}\right)}{1296}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{16}{13}-\frac{2}{13} \coth ^{-1}(1296 y)\text{ if }y>\frac{1}{1296}\lor y<-\frac{1}{1296}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/7163.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}(5 x+6)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} (\cos (y)-6)\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/7525.txt

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+Problem:
+Find the inverse of the following function: $-\tanh (2 x+6)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\frac{1}{2} \tanh ^{-1}(y)-3\text{ if }-1<y<1$}\right\}\right\}$