Pyramid 681
Preview $$U_{681}(x, y) = \frac{\sqrt{\frac{4 x}{\sqrt{1 - 4 y}} + 1}}{2} + \frac{1}{2}$$
Pyramid 682
Preview $$U_{682}(x, y) = \frac{1 - \sqrt{\frac{4 x}{\sqrt{1 - 4 y}} + 1}}{2 x}$$
Pyramid 683
Preview $$U_{683}(x, y) = \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{2 y^{2}} + 1$$
Pyramid 684
Preview $$U_{684}(x, y) = \frac{\sqrt{\frac{2 x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{y^{2}} + 1}}{2} + \frac{1}{2}$$
Pyramid 685
Preview $$U_{685}(x, y) = \frac{1 - \sqrt{\frac{2 x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{y^{2}} + 1}}{2 x}$$
Pyramid 686
Preview $$U_{686}(x, y) = \frac{x \left(\sqrt{4 y + 1} + 1\right)}{2} + 1$$
Pyramid 687
Preview $$U_{687}(x, y) = \frac{\sqrt{2 x \left(\sqrt{4 y + 1} + 1\right) + 1}}{2} + \frac{1}{2}$$
Pyramid 688
Preview $$U_{688}(x, y) = \frac{1 - \sqrt{2 x \left(\sqrt{4 y + 1} + 1\right) + 1}}{2 x}$$
Pyramid 689
Preview $$U_{689}(x, y) = \frac{2 \sqrt{3} x \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}} + 1$$
Pyramid 690
Preview $$U_{690}(x, y) = \frac{\sqrt{\frac{8 \sqrt{3} x \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}} + 1}}{2} + \frac{1}{2}$$
Pyramid 691
Preview $$U_{691}(x, y) = \frac{1 - \sqrt{\frac{8 \sqrt{3} x \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{y}}{2} \right)}}{3} \right)}}{3 \sqrt{y}} + 1}}{2 x}$$
Pyramid 692
Preview $$U_{692}(x, y) = x \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) + 1$$
Pyramid 693
Preview $$U_{693}(x, y) = \frac{\sqrt{4 x \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) + 1}}{2} + \frac{1}{2}$$
Pyramid 694
Preview $$U_{694}(x, y) = \frac{1 - \sqrt{4 x \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) + 1}}{2 x}$$
Pyramid 695
Preview $$U_{695}(x, y) = \frac{1}{- \frac{x}{\left(1 - y\right)^{2}} + 1}$$
Pyramid 696
Preview $$U_{696}(x, y) = \frac{\left(1 - y\right)^{2} \left(1 - \sqrt{- \frac{4 x}{\left(1 - y\right)^{2}} + 1}\right)}{2 x}$$
Pyramid 697
Preview $$U_{697}(x, y) = \frac{\left(y + 1\right)^{3}}{- x \left(y + 1\right)^{2} + 1}$$
Pyramid 698
Preview $$U_{698}(x, y) = \frac{y \left(1 - \sqrt{- \frac{2 x \left(1 - \sqrt{1 - 4 y}\right)}{y} + 1}\right)}{x \left(1 - \sqrt{1 - 4 y}\right)}$$
Pyramid 699
Preview $$U_{699}(x, y) = \frac{y^{2} \left(1 - \sqrt{- \frac{2 x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{y^{2}} + 1}\right)}{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}$$
Pyramid 700
Preview $$U_{700}(x, y) = \frac{1}{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)}{2 y^{2}} + 1}$$
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