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pretraining/mathematica/algebra/invert_function/1049.txt

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+Problem:
+Find the inverse of the following function: $e^{\frac{23}{5}-\frac{39 x}{5}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{5}{39} \log \left(\frac{e^{23/5}}{y}\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1427.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{\frac{25 x}{3}-\frac{5}{3}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{25} \left(3 y^2+5\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/1531.txt

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+Problem:
+Find the inverse of the following function: $\tan ^{-1}(7-5 x)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{7}{5}-\frac{\tan (y)}{5}\text{ if }-\frac{\pi }{2}<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/171.txt

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

pretraining/mathematica/algebra/invert_function/1938.txt

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

pretraining/mathematica/algebra/invert_function/1954.txt

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

pretraining/mathematica/algebra/invert_function/21.txt

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+Problem:
+Find the inverse of the following function: $\sinh \left(3 x+\frac{1}{3}\right)$
+Answer:
+$\left\{\left\{x\to \frac{1}{3} \sinh ^{-1}(y)-\frac{1}{9}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2145.txt

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

pretraining/mathematica/algebra/invert_function/2264.txt

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+Problem:
+Find the inverse of the following function: $-\sin ^{-1}(5 x+7)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} (-\sin (y)-7)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2412.txt

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

pretraining/mathematica/algebra/invert_function/2726.txt

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+Problem:
+Find the inverse of the following function: $\tanh (5 x+7)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} \tanh ^{-1}(y)-\frac{7}{5}\text{ if }-1<y<1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/2839.txt

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

pretraining/mathematica/algebra/invert_function/2894.txt

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

pretraining/mathematica/algebra/invert_function/3162.txt

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

pretraining/mathematica/algebra/invert_function/3302.txt

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

pretraining/mathematica/algebra/invert_function/3399.txt

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

pretraining/mathematica/algebra/invert_function/3659.txt

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+Problem:
+Find the inverse of the following function: $e^{6 x-9}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{\log (y)}{6}+\frac{3}{2}\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/3743.txt

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

pretraining/mathematica/algebra/invert_function/3861.txt

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

pretraining/mathematica/algebra/invert_function/4007.txt

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+Problem:
+Find the inverse of the following function: $\tanh \left(\frac{17}{2}-2 x\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{17}{4}-\frac{1}{2} \tanh ^{-1}(y)\text{ if }-1<y<1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4082.txt

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+Problem:
+Find the inverse of the following function: $\sqrt[3]{4-\frac{15 x}{2}}$
+Answer:
+$\left\{\left\{x\to \frac{1}{15} \left(8-2 y^3\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4357.txt

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

pretraining/mathematica/algebra/invert_function/4442.txt

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

pretraining/mathematica/algebra/invert_function/4553.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{\frac{13 x}{3}+2}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{13} \left(3 y^2-6\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4600.txt

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

pretraining/mathematica/algebra/invert_function/4645.txt

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+Problem:
+Find the inverse of the following function: $-\sinh (3 x+9)$
+Answer:
+$\left\{\left\{x\to -\frac{1}{3} \sinh ^{-1}(y)-3\right\}\right\}$

pretraining/mathematica/algebra/invert_function/4708.txt

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

pretraining/mathematica/algebra/invert_function/4792.txt

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

pretraining/mathematica/algebra/invert_function/4834.txt

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

pretraining/mathematica/algebra/invert_function/4915.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{e^{4 x+5}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{\log (y)}{2}-\frac{5}{4}\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5258.txt

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

pretraining/mathematica/algebra/invert_function/5350.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{x^4-5}$
+Answer:
+$\left\{\left\{x\to \fbox{$-\sqrt[4]{y^2+5}\text{ if }y>0$}\right\},\left\{x\to \fbox{$\sqrt[4]{y^2+5}\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/5994.txt

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+Problem:
+Find the inverse of the following function: $\sqrt{e^{4 x-5}}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{2} \log \left(e^{5/2} y\right)\text{ if }y>0$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6083.txt

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+Problem:
+Find the inverse of the following function: $-\sqrt[3]{\sinh \left(6 x+\frac{20}{3}\right)}$
+Answer:
+$\left\{\left\{x\to \fbox{$-\frac{1}{6} \sinh ^{-1}\left(y^3\right)-\frac{10}{9}\text{ if }y\in \mathbb{R}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6175.txt

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+Problem:
+Find the inverse of the following function: $-\sin ^{-1}(5 x+8)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} (-\sin (y)-8)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6229.txt

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

pretraining/mathematica/algebra/invert_function/6230.txt

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

pretraining/mathematica/algebra/invert_function/6297.txt

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+Problem:
+Find the inverse of the following function: $\sqrt[3]{\cos ^{-1}\left(-\frac{2 x}{3}-\frac{11}{3}\right)}$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{2} \left(-3 \cos \left(y^3\right)-11\right)\text{ if }0\leq y\leq \sqrt[3]{\pi }$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6396.txt

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+Problem:
+Find the inverse of the following function: $-\sqrt[3]{2 x+2}-\sqrt[3]{\tan ^{-1}(8)}$
+Answer:
+$\left\{\left\{x\to \frac{1}{2} \left(-y^3-3 y^2 \sqrt[3]{\tan ^{-1}(8)}-3 y \tan ^{-1}(8)^{2/3}-2-\tan ^{-1}(8)\right)\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6467.txt

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

pretraining/mathematica/algebra/invert_function/6491.txt

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+Problem:
+Find the inverse of the following function: $-\sin ^{-1}\left(\frac{23 x}{5}+\frac{8}{5}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{23} (-5 \sin (y)-8)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/671.txt

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

pretraining/mathematica/algebra/invert_function/6847.txt

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

pretraining/mathematica/algebra/invert_function/689.txt

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+Problem:
+Find the inverse of the following function: $\frac{1}{\frac{23 x}{5}+\frac{26}{5}}$
+Answer:
+$\left\{\left\{x\to \frac{5-26 y}{23 y}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/6991.txt

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+Problem:
+Find the inverse of the following function: $-\sin ^{-1}\left(8-\frac{11 x}{2}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{11} (2 \sin (y)+16)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/7037.txt

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

pretraining/mathematica/algebra/invert_function/7737.txt

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+Problem:
+Find the inverse of the following function: $\sin ^{-1}\left(\sqrt{-5 x-7}\right)$
+Answer:
+$\left\{\left\{x\to \fbox{$\frac{1}{5} \left(-\sin ^2(y)-7\right)\text{ if }0<y<\frac{\pi }{2}$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/7769.txt

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+Problem:
+Find the inverse of the following function: $\cos (4-x)$
+Answer:
+$\left\{\left\{x\to \fbox{$-\cos ^{-1}(y)-2 \pi  c_1+4\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\},\left\{x\to \fbox{$\cos ^{-1}(y)-2 \pi  c_1+4\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\}\right\}$

pretraining/mathematica/algebra/invert_function/782.txt

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

pretraining/mathematica/algebra/invert_function/79.txt

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