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pretraining/mathematica/algebra/invert_function/1099.txt

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+Problem:
+Find the inverse of the following function: $\sinh \left(\frac{11 x}{2}+1\right)-\cosh \left(\frac{13}{2}\right)$
+Answer:
+$\left\{\left\{x\to \frac{2}{11} \sinh ^{-1}\left(y+\cosh \left(\frac{13}{2}\right)\right)-\frac{2}{11}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1195.txt

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

pretraining/mathematica/algebra/invert_function/1529.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}\left(\sinh \left(\frac{16}{3}-\frac{22 x}{3}\right)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{8}{11}-\frac{3}{22} \sinh ^{-1}(\cos (y))\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1681.txt

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+Problem:
+Find the inverse of the following function: $\sinh \left(\sqrt{3 x-\frac{26}{3}}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{9} \left(3 \sinh ^{-1}(y)^2+26\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1684.txt

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

pretraining/mathematica/algebra/invert_function/1738.txt

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

pretraining/mathematica/algebra/invert_function/1805.txt

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+Problem:
+Find the inverse of the following function: $e^{-\frac{14 x}{5}-\frac{37}{5}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{5}{14} \log \left(\frac{1}{y}\right)-\frac{37}{14}\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1887.txt

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

pretraining/mathematica/algebra/invert_function/2051.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}(1-8 x)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{8} (1-\cos (y))\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2265.txt

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+Problem:
+Find the inverse of the following function: $e^{-4 x-8}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{4} \log \left(\frac{1}{y}\right)-2\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2497.txt

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

pretraining/mathematica/algebra/invert_function/2627.txt

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+Problem:
+Find the inverse of the following function: $-\sinh \left(6 x+\frac{5}{2}\right)$
+Answer:
+$\left\{\left\{x\to -\frac{1}{6} \sinh ^{-1}(y)-\frac{5}{12}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2718.txt

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

pretraining/mathematica/algebra/invert_function/278.txt

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

pretraining/mathematica/algebra/invert_function/3016.txt

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

pretraining/mathematica/algebra/invert_function/3063.txt

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+Problem:
+Find the inverse of the following function: $\tan ^{-1}\left(2 x+\frac{9}{2}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{\tan (y)}{2}-\frac{9}{4}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3147.txt

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+Problem:
+Find the inverse of the following function: $\sinh (4-9 x)$
+Answer:
+$\left\{\left\{x\to \frac{4}{9}-\frac{1}{9} \sinh ^{-1}(y)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3172.txt

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+Problem:
+Find the inverse of the following function: $\tanh (9 x+5)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{9} \tanh ^{-1}(y)-\frac{5}{9}\text{ if }-1<y<1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/324.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}(5 x+8)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} (\cos (y)-8)\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3361.txt

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

pretraining/mathematica/algebra/invert_function/3563.txt

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+Problem:
+Find the inverse of the following function: $\cos ^{-1}\left(4 x+\frac{9}{2}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{8} (2 \cos (y)-9)\text{ if }0\leq y\leq \pi $}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3688.txt

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+Problem:
+Find the inverse of the following function: $-\tan ^{-1}\left(6-\frac{15 x}{2}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{2 \tan (y)}{15}+\frac{4}{5}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3733.txt

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+Problem:
+Find the inverse of the following function: $\sqrt[3]{5 x+8}$
+Answer:
+$\left\{\left\{x\to \frac{1}{5} \left(y^3-8\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3740.txt

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

pretraining/mathematica/algebra/invert_function/4071.txt

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+Problem:
+Find the inverse of the following function: $\tan ^{-1}\left(\frac{16}{3}-\frac{17 x}{3}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{16}{17}-\frac{3 \tan (y)}{17}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/450.txt

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

pretraining/mathematica/algebra/invert_function/4500.txt

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

pretraining/mathematica/algebra/invert_function/4672.txt

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+Problem:
+Find the inverse of the following function: $\log (7 x+5)$
+Answer:
+$\left\{\left\{x\to \frac{1}{7} \left(e^y-5\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/473.txt

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

pretraining/mathematica/algebra/invert_function/4784.txt

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

pretraining/mathematica/algebra/invert_function/4825.txt

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+Problem:
+Find the inverse of the following function: $e^{\tan ^{-1}\left(\frac{5}{3}-9 x\right)}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{5}{27}-\frac{1}{9} \tan (\log (y))\text{ if }e^{-\pi /2}<y<e^{\pi /2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4899.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{-\frac{17 x}{2}-5}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{17} \left(-2 y^2-10\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4954.txt

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

pretraining/mathematica/algebra/invert_function/5068.txt

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

pretraining/mathematica/algebra/invert_function/5077.txt

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

pretraining/mathematica/algebra/invert_function/5120.txt

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

pretraining/mathematica/algebra/invert_function/5177.txt

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

pretraining/mathematica/algebra/invert_function/5214.txt

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+Problem:
+Find the inverse of the following function: $-\sin \left(\tanh \left(\frac{11}{2}-4 x\right)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{4} \tanh ^{-1}\left(\sin ^{-1}(y)\right)+\frac{11}{8}\text{ if }-\sin (1)<y<\sin (1)$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5431.txt

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+Problem:
+Find the inverse of the following function: $\sqrt[3]{\frac{17 x}{2}+\frac{7}{2}}$
+Answer:
+$\left\{\left\{x\to \frac{1}{17} \left(2 y^3-7\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5510.txt

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

pretraining/mathematica/algebra/invert_function/5512.txt

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

pretraining/mathematica/algebra/invert_function/5550.txt

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

pretraining/mathematica/algebra/invert_function/5724.txt

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

pretraining/mathematica/algebra/invert_function/5826.txt

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

pretraining/mathematica/algebra/invert_function/5846.txt

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

pretraining/mathematica/algebra/invert_function/588.txt

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+Problem:
+Find the inverse of the following function: $-\sin ^{-1}\left(\sin ^{-1}\left(\frac{26 x}{3}+\frac{17}{3}\right)\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{26} (-3 \sin (\sin (y))-17)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6014.txt

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

pretraining/mathematica/algebra/invert_function/6084.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{-\frac{15 x}{2}-\frac{17}{2}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{15} \left(-2 y^2-17\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6145.txt

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+Problem:
+Find the inverse of the following function: $\frac{\cosh (5)}{\sqrt[3]{6 x+9}}$
+Answer:
+$\left\{\left\{x\to \frac{\cosh ^3(5)-9 y^3}{6 y^3}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6180.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{\frac{17}{3}-\frac{26 x}{3}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{26} \left(17-3 y^2\right)\text{ if }y>0$}\right\}\right\}$