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Pyramid 761
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$$U_{761}(x, y) = \frac{y^{4} \left(1 - \sqrt{- \frac{2 x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{y^{2}} + 1}\right)^{3}}{2 x^{3} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}$$
Pyramid 762
Preview
$$U_{762}(x, y) = \frac{\left(1 - \sqrt{- 2 x \left(\sqrt{4 y + 1} + 1\right) + 1}\right)^{3}}{2 x^{3} \left(\sqrt{4 y + 1} + 1\right)^{2}}$$
Pyramid 763
Preview
$$U_{763}(x, y) = \frac{\left(1 - \sqrt{- 4 x \sqrt{4 y + 1} + 1}\right)^{3}}{8 x^{3} \left(4 y + 1\right)}$$
Pyramid 764
Preview
$$U_{764}(x, y) = \frac{\left(1 - 4 y\right) \left(1 - \sqrt{- \frac{4 x}{\sqrt{1 - 4 y}} + 1}\right)^{3}}{8 x^{3}}$$
Pyramid 765
Preview
$$U_{765}(x, y) = \frac{\left(1 - \sqrt{- 4 x \left(1 - \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) + 1}\right)^{3}}{8 x^{3} \left(1 - \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right)^{2}}$$
Pyramid 766
Preview
$$U_{766}(x, y) = \frac{3 y \left(1 - \sqrt{- \frac{8 \sqrt{3} x \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}} + 1}\right)^{3}}{32 x^{3} \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}$$
Pyramid 767
Preview
$$U_{767}(x, y) = \left(1 - \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}\right)^{2} \sqrt{4 y + 1}$$
Pyramid 768
Preview
$$U_{768}(x, y) = \sqrt{4 y + 1} \left(x \sqrt{4 y + 1} + 1\right)^{2}$$
Pyramid 769
Preview
$$U_{769}(x, y) = \frac{- 2 x \left(4 y + 1\right) - \sqrt{- 4 x \left(4 y + 1\right) + 1} + 1}{2 x^{2} \left(4 y + 1\right)^{\frac{3}{2}}}$$
Pyramid 770
Preview
$$U_{770}(x, y) = \frac{2 \sqrt{3} \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3}\right)^{2} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Pyramid 771
Preview
$$U_{771}(x, y) = \frac{2 \sqrt{3} \left(\frac{2 \sqrt{3} x \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}} + 1\right)^{2} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}}$$
Pyramid 772
Preview
$$U_{772}(x, y) = \frac{3 \sqrt{3} y^{\frac{3}{2}} \left(- \frac{8 x \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 y} - \sqrt{- \frac{16 x \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 y} + 1} + 1\right)}{16 x^{2} \sin^{3}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}$$
Pyramid 773
Preview
$$U_{773}(x, y) = \frac{\left(4 y + 4\right) \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x}$$
Pyramid 774
Preview
$$U_{774}(x, y) = \frac{\left(y + 1\right)^{3}}{\left(- x + y + 1\right)^{2}}$$
Pyramid 775
Preview
$$U_{775}(x, y) = \frac{4 \left(y + 1\right)^{2} \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x}$$
Pyramid 776
Preview
$$U_{776}(x, y) = \frac{\left(y + 1\right)^{6}}{\left(- x + \left(y + 1\right)^{2}\right)^{2}}$$
Pyramid 777
Preview
$$U_{777}(x, y) = \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x \left(1 - y\right)}$$
Pyramid 778
Preview
$$U_{778}(x, y) = - \frac{1}{x^{2} y^{3} - x^{2} + 2 x + y^{2} \left(- 3 x^{2} + 2 x\right) + y \left(3 x^{2} - 4 x + 1\right) - 1}$$
Pyramid 779
Preview
$$U_{779}(x, y) = \frac{4 \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x \left(1 - y\right)^{2}}$$
Pyramid 780
Preview
$$U_{780}(x, y) = \frac{1}{\left(1 - y\right)^{6} \left(- x + \frac{1}{\left(1 - y\right)^{2}}\right)^{2}}$$
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