Pyramid 781
Preview $$U_{781}(x, y) = \frac{\left(2 - 2 \sqrt{1 - 4 y}\right) \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x y}$$
Pyramid 782
Preview $$U_{782}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right)^{3}}{8 y^{3} \left(- x + \frac{1 - \sqrt{1 - 4 y}}{2 y}\right)^{2}}$$
Pyramid 783
Preview $$U_{783}(x, y) = \frac{\left(- 4 y - 2 \sqrt{1 - 4 y} + 2\right) \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x y^{2}}$$
Pyramid 784
Preview $$U_{784}(x, y) = \frac{\left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6} \left(- x + \frac{- 2 y - \sqrt{1 - 4 y} + 1}{2 y^{2}}\right)^{2}}$$
Pyramid 785
Preview $$U_{785}(x, y) = \frac{8 \sqrt{3} \left(y + 1\right) \sin^{3}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{9 x^{\frac{3}{2}}}$$
Pyramid 786
Preview $$U_{786}(x, y) = \left(y + 1\right) \left(\frac{x}{y + 1} + 1\right)^{3}$$
Pyramid 787
Preview $$U_{787}(x, y) = \frac{8 \sqrt{3} \left(y + 1\right)^{2} \sin^{3}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{9 x^{\frac{3}{2}}}$$
Pyramid 788
Preview $$U_{788}(x, y) = \left(y + 1\right)^{2} \left(\frac{x}{\left(y + 1\right)^{2}} + 1\right)^{3}$$
Pyramid 789
Preview $$U_{789}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x \left(1 - \frac{y \left(2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)}{3 x}\right)}$$
Pyramid 790
Preview $$U_{790}(x, y) = \frac{3 x \left(1 - \sqrt{1 - \frac{16 y \left(1 - \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)^{2}}{9 x^{2}}}\right)}{y \left(4 - 4 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)}$$
Pyramid 791
Preview $$U_{791}(x, y) = \frac{3 x \left(- \sqrt{1 - \frac{y \left(8 - 8 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)}{3 x}} + 1 - \frac{y \left(4 - 4 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)}{3 x}\right)}{y^{2} \left(4 - 4 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)}$$
Pyramid 792
Preview $$U_{792}(x, y) = \frac{1 - \sqrt{1 - \frac{y \left(8 - 8 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}\right)}{3 x}}}{2 y}$$
Pyramid 793
Preview $$U_{793}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x + 3 y}$$
Pyramid 794
Preview $$U_{794}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3 \sqrt{x \left(y + 1\right)}}$$
Pyramid 795
Preview $$U_{795}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3 x \left(y + 1\right)}$$
Pyramid 796
Preview $$U_{796}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{1 - y}}}{2} \right)}}{3} \right)}}{3 \sqrt{\frac{x}{1 - y}}}$$
Pyramid 797
Preview $$U_{797}(x, y) = \frac{\left(1 - y\right) \left(2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{\frac{x}{1 - y}}}{2} \right)}}{3} \right)}\right)}{3 x}$$
Pyramid 798
Preview $$U_{798}(x, y) = \frac{1}{\left(- x \left(y + 1\right) + 1\right)^{2}}$$
Pyramid 799
Preview $$U_{799}(x, y) = \frac{2 x y + 2 x - \sqrt{4 x y + 4 x + 1} + 1}{2 x^{2}}$$
Pyramid 800
Preview $$U_{800}(x, y) = x y + x + \frac{\sqrt{4 x y + 4 x + 1}}{2} + \frac{1}{2}$$
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