Pyramid 521
Preview $$U_{521}(x, y) = \frac{- \sqrt{4 x + \left(y + 1\right)^{8}} + \left(y + 1\right)^{4}}{2 \left(y + 1\right)^{2}}$$
Pyramid 522
Preview $$U_{522}(x, y) = \frac{- \sqrt{- \frac{4 x}{\left(1 - y\right)^{3}} + \frac{1}{\left(1 - y\right)^{4}}} + \frac{1}{\left(1 - y\right)^{2}}}{2 x}$$
Pyramid 523
Preview $$U_{523}(x, y) = - \frac{1}{\left(1 - y\right)^{3} \left(x - \frac{1}{\left(1 - y\right)^{2}}\right)}$$
Pyramid 524
Preview $$U_{524}(x, y) = x + y^{3} + 3 y^{2} + y \left(x + 3\right) + 1$$
Pyramid 525
Preview $$U_{525}(x, y) = x \left(y + 1\right)^{2} + \left(y + 1\right)^{3}$$
Pyramid 526
Preview $$U_{526}(x, y) = \left(1 - y\right)^{2} \left(x + \frac{1}{\left(1 - y\right)^{3}}\right)$$
Pyramid 527
Preview $$U_{527}(x, y) = \frac{\sqrt{4 x \left(1 - y\right)^{2} + \frac{1}{\left(1 - y\right)^{2}}}}{2} + \frac{1}{2 - 2 y}$$
Pyramid 528
Preview $$U_{528}(x, y) = - \frac{\sqrt{4 x \left(1 - y\right)^{2} + \frac{1}{\left(1 - y\right)^{2}}}}{2} + \frac{1}{2 - 2 y}$$
Pyramid 529
Preview $$U_{529}(x, y) = \frac{- \sqrt{- \frac{4 x}{\left(1 - y\right)^{6}} + \frac{1}{\left(1 - y\right)^{8}}} + \frac{1}{\left(1 - y\right)^{4}}}{2 x}$$
Pyramid 530
Preview $$U_{530}(x, y) = - \frac{1}{\left(1 - y\right)^{6} \left(x - \frac{1}{\left(1 - y\right)^{4}}\right)}$$
Pyramid 531
Preview $$U_{531}(x, y) = \left(1 - y\right)^{4} \left(x + \frac{1}{\left(1 - y\right)^{6}}\right)$$
Pyramid 532
Preview $$U_{532}(x, y) = \frac{\left(1 - y\right)^{2} \left(\sqrt{4 x + \frac{1}{\left(1 - y\right)^{8}}} + \frac{1}{\left(1 - y\right)^{4}}\right)}{2}$$
Pyramid 533
Preview $$U_{533}(x, y) = \frac{\left(1 - y\right)^{2} \left(- \sqrt{4 x + \frac{1}{\left(1 - y\right)^{8}}} + \frac{1}{\left(1 - y\right)^{4}}\right)}{2}$$
Pyramid 534
Preview $$U_{534}(x, y) = \frac{\sqrt{3} \left(1 - \sqrt{1 - 4 y}\right) \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x} y}$$
Pyramid 535
Preview $$U_{535}(x, y) = \frac{- \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}} + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{4}}{16 y^{4}}} + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}}}{2 x}$$
Pyramid 536
Preview $$U_{536}(x, y) = - \frac{\left(1 - \sqrt{1 - 4 y}\right)^{3}}{y^{3} \left(8 x - \frac{2 \left(1 - \sqrt{1 - 4 y}\right)^{2}}{y^{2}}\right)}$$
Pyramid 537
Preview $$U_{537}(x, y) = \frac{y^{2} \left(4 x + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}}\right)}{\left(1 - \sqrt{1 - 4 y}\right)^{2}}$$
Pyramid 538
Preview $$U_{538}(x, y) = \frac{\sqrt{3} \left(- 2 y - \sqrt{1 - 4 y} + 1\right) \sin{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x} y^{2}}$$
Pyramid 539
Preview $$U_{539}(x, y) = \frac{- \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{2 y^{6}} + \frac{\left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{4}}{16 y^{8}}} + \frac{\left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}}}{2 x}$$
Pyramid 540
Preview $$U_{540}(x, y) = - \frac{\left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{y^{6} \left(8 x - \frac{2 \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{y^{4}}\right)}$$
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