Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2701	Simplify	arcsec(-1)	$arcsec (- 1)$
2702	Simplify	(5x^3y^-3)(-6x^4y)	$(5 x^{3} y^{- 3}) (- 6 x^{4} y)$
2703	Simplify	3x square root of 5x+4 square root of 20x^3-x square root of 125x	$3 x \sqrt{5 x} + 4 \sqrt{20 x^{3}} - x \sqrt{125 x}$
2704	Simplify	4(cos((3pi)/4)+isin((3pi)/4))	$4 (\cos (\frac{3 π}{4}) + i \sin (\frac{3 π}{4}))$
2705	Simplify	4i^2-2i^3	$4 i^{2} - 2 i^{3}$
2706	Simplify	5-7i	$5 - 7 i$
2707	Simplify	6(x/2)-5	$6 (\frac{x}{2}) - 5$
2708	Simplify	(cos(x)sec(x))/(tan(x))	$\frac{\cos (x) \sec (x)}{\tan (x)}$
2709	Simplify	((x+h)^2-x^2)/h	$\frac{{(x + h)}^{2} - x^{2}}{h}$
2710	Simplify	cos(105)^2-sin(105)^2	$\cos^{2} (105) - \sin^{2} (105)$
2711	Simplify	square root of 4096	$\sqrt{4096}$
2712	Simplify	(4w^2z^-2)^2(z^3)	${(4 w^{2} z^{- 2})}^{2} (z^{3})$
2713	Simplify	(cot(x)sec(x))/(csc(x))	$\frac{\cot (x) \sec (x)}{\csc (x)}$
2714	Simplify	cot(x)^2sec(x)^2	$\cot^{2} (x) \sec^{2} (x)$
2715	Simplify	(15x^2)/(10x)	$\frac{15 x^{2}}{10 x}$
2716	Simplify	i^3002	$i^{3002}$
2717	Simplify	f^-1(0)	$f^{- 1} (0)$
2718	Simplify	(cos(x))/(1-sin(x))-tan(x)	$\frac{\cos (x)}{1 - \sin (x)} - \tan (x)$
2719	Simplify	(cos(x))/(1-sin(x))-(sin(x))/(cos(x))	$\frac{\cos (x)}{1 - \sin (x)} - \frac{\sin (x)}{\cos (x)}$
2720	Simplify	(2x)/(x^2-4x-5)-3/(x^2-2x-3)	$\frac{2 x}{x^{2} - 4 x - 5} - \frac{3}{x^{2} - 2 x - 3}$
2721	Simplify	(2x+3)/(3x-2)+(4x)/(3x-2)	$\frac{2 x + 3}{3 x - 2} + \frac{4 x}{3 x - 2}$
2722	Simplify	3/(x-1)-5	$\frac{3}{x - 1} - 5$
2723	Simplify	3/x-6/(x+3)-x/((x+3)^2)	$\frac{3}{x} - \frac{6}{x + 3} - \frac{x}{{(x + 3)}^{2}}$
2724	Simplify	(4x)/(x^2-4)*(x+2)/(16x)	$\frac{4 x}{x^{2} - 4} \cdot \frac{x + 2}{16 x}$
2725	Simplify	4/(2-3i)+2/(1+i)	$\frac{4}{2 - 3 i} + \frac{2}{1 + i}$
2726	Simplify	(5pi)/11	$\frac{5 π}{11}$
2727	Simplify	5/4-(7/4+2i)	$\frac{5}{4} - (\frac{7}{4} + 2 i)$
2728	Simplify	(6x^2+17x-40)/(x^2+x-20)+3/(x-4)-(5x)/(x+5)	$\frac{6 x^{2} + 17 x - 40}{x^{2} + x - 20} + \frac{3}{x - 4} - \frac{5 x}{x + 5}$
2729	Simplify	(x-9y)^2	${(x - 9 y)}^{2}$
2730	Simplify	1/2*(1-cos(2x))	$\frac{1}{2} \cdot (1 - \cos (2 x))$
2731	Simplify	1/2*sin(pi/3)	$\frac{1}{2} \cdot \sin (\frac{π}{3})$
2732	Simplify	(1+cos(u))/(sin(u))+(sin(u))/(1+cos(u))	$\frac{1 + \cos (u)}{\sin (u)} + \frac{\sin (u)}{1 + \cos (u)}$
2733	Simplify	(1+sin(y))/(csc(y)+1)	$\frac{1 + \sin (y)}{\csc (y) + 1}$
2734	Simplify	2/(1-sin(x))+2/(1+sin(x))	$\frac{2}{1 - \sin (x)} + \frac{2}{1 + \sin (x)}$
2735	Simplify	2/(a^2)-3/(ab)+4/(b^2)	$\frac{2}{a^{2}} - \frac{3}{a b} + \frac{4}{b^{2}}$
2736	Simplify	-20/29(-( square root of 119)/12)+21/29(-5/12)	$- \frac{20}{29} \cdot (- \frac{\sqrt{119}}{12}) + \frac{21}{29} \cdot (- \frac{5}{12})$
2737	Simplify	(x^(5/2)(2x^(5/4))^2)/(x^(1/2))	$\frac{x^{\frac{5}{2}} {(2 x^{\frac{5}{4}})}^{2}}{x^{\frac{1}{2}}}$
2738	Simplify	(x^2-2x-35)/(2x^3-3x^2)*(4x^3-9x)/(7x-49)	$\frac{x^{2} - 2 x - 35}{2 x^{3} - 3 x^{2}} \cdot \frac{4 x^{3} - 9 x}{7 x - 49}$
2739	Simplify	(x^2-4x+4)/(x^2-7x+10)	$\frac{x^{2} - 4 x + 4}{x^{2} - 7 x + 10}$
2740	Simplify	( fourth root of 27)/( cube root of 81)	$\frac{\sqrt[4]{27}}{\sqrt[3]{81}}$
2741	Simplify	(1/(sin(x)))/(1/(cos(x)))	$\frac{\frac{1}{\sin (x)}}{\frac{1}{\cos (x)}}$
2742	Simplify	(cot(x)^2)/(csc(x))	$\frac{\cot^{2} (x)}{\csc (x)}$
2743	Simplify	(j^18-j)/(3j-j^12)	$\frac{j^{18} - j}{3 j - j^{12}}$
2744	Simplify	x^(5/2)-x^(1/2)	$x^{\frac{5}{2}} - x^{\frac{1}{2}}$
2745	Simplify	x^(-3/4)	$x^{- \frac{3}{4}}$
2746	Simplify	x^2e^x-16e^x	$x^{2} e^{x} - 16 e^{x}$
2747	Simplify	x^2-1-5-x	$x^{2} - 1 - 5 - x$
2748	Simplify	x^2-4x-5	$x^{2} - 4 x - 5$
2749	Simplify	x^-3y^5	$x^{- 3} y^{5}$
2750	Simplify	xy^-2(xy^2-3y^3)	$x y^{- 2} (x y^{2} - 3 y^{3})$
2751	Simplify	xy^2* square root of xy^3	$x y^{2} \cdot \sqrt{x y^{3}}$
2752	Simplify	x^7y^0	$x^{7} y^{0}$
2753	Simplify	(x+1)/(x-1)*1/x	$\frac{x + 1}{x - 1} \cdot \frac{1}{x}$
2754	Simplify	(-10x^5+15x)/(-5x)	$\frac{- 10 x^{5} + 15 x}{- 5 x}$
2755	Simplify	(-x)/((-x)^2+1)	$\frac{- x}{{(- x)}^{2} + 1}$
2756	Simplify	((243x^5y^(-3/2))^(2/5))/((x^(5/3)y^(2/3))^(3/5))	$\frac{{(243 x^{5} y^{- \frac{3}{2}})}^{\frac{2}{5}}}{{(x^{\frac{5}{3}} y^{\frac{2}{3}})}^{\frac{3}{5}}}$
2757	Simplify	(sin(x))/x	$\frac{\sin (x)}{x}$
2758	Simplify	(sin(a))/(1-cot(a))-(cos(a))/(tan(a)-1)	$\frac{\sin (a)}{1 - \cot (a)} - \frac{\cos (a)}{\tan (a) - 1}$
2759	Simplify	(sin(t))/(1+sin(t))-(sin(t))/(1-sin(t))	$\frac{\sin (t)}{1 + \sin (t)} - \frac{\sin (t)}{1 - \sin (t)}$
2760	Simplify	(sin(x))/(1-cos(x))	$\frac{\sin (x)}{1 - \cos (x)}$
2761	Simplify	(sin(x))/(1+cos(x))+1+(cos(x))/(sin(x))	$\frac{\sin (x)}{1 + \cos (x)} + 1 + \frac{\cos (x)}{\sin (x)}$
2762	Simplify	(sin(a-b))/(cos(a)cos(b))	$\frac{\sin (a - b)}{\cos (a) \cos (b)}$
2763	Simplify	(sin(4x))/(sin(2x))	$\frac{\sin (4 x)}{\sin (2 x)}$
2764	Simplify	pi/2+pi/6	$\frac{π}{2} + \frac{π}{6}$
2765	Simplify	j^-16	$j^{- 16}$
2766	Simplify	sec(x)^3cot(x)^3	$\sec^{3} (x) \cot^{3} (x)$
2767	Simplify	(3+ square root of 5)^2	${(3 + \sqrt{5})}^{2}$
2768	Simplify	cube root of 2 cube root of 32	$\sqrt[3]{2} \sqrt[3]{32}$
2769	Simplify	((32x^-10y^15)^(1/5))/((64x^6y^-12)^(-1/6))	$\frac{{(32 x^{- 10} y^{15})}^{\frac{1}{5}}}{{(64 x^{6} y^{- 12})}^{- \frac{1}{6}}}$
2770	Simplify	sec(x)^3-tan(x)^2sec(x)	$\sec^{3} (x) - \tan^{2} (x) \sec (x)$
2771	Simplify	sec(18)^2-tan(18)^2	$\sec^{2} (18) - \tan^{2} (18)$
2772	Simplify	(t-3)/(t^2-9)*(t+3)/(t^2+9)	$\frac{t - 3}{t^{2} - 9} \cdot \frac{t + 3}{t^{2} + 9}$
2773	Simplify	(tan(x))/(cos(x)-sec(x))	$\frac{\tan (x)}{\cos (x) - \sec (x)}$
2774	Simplify	(tan(x)-cot(x))/(tan(x)+cot(x))+1	$\frac{\tan (x) - \cot (x)}{\tan (x) + \cot (x)} + 1$
2775	Simplify	(tan(x))/(sin(x))+1/(cos(x))	$\frac{\tan (x)}{\sin (x)} + \frac{1}{\cos (x)}$
2776	Simplify	(tan(a))/(cot(a))	$\frac{\tan (a)}{\cot (a)}$
2777	Simplify	(tan(x))/(1/(tan(x)))	$\frac{\tan (x)}{\frac{1}{\tan (x)}}$
2778	Simplify	(1+x^(4/3))(1-x^(2/3))	$(1 + x^{\frac{4}{3}}) (1 - x^{\frac{2}{3}})$
2779	Simplify	tan(x)^2cos(x)^2	$\tan^{2} (x) \cos^{2} (x)$
2780	Simplify	( cube root of 16)/( fifth root of 4)	$\frac{\sqrt[3]{16}}{\sqrt[5]{4}}$
2781	Simplify	3x^2y(2x^2y-5x+7-2)	$3 x^{2} y (2 x^{2} y - 5 x + 7 - 2)$
2782	Simplify	3sin(x)^2-5sin(x-2)	$3 \sin^{2} (x) - 5 \sin (x - 2)$
2783	Simplify	(2+4/(y^2))/(3/y-5)	$\frac{2 + \frac{4}{y^{2}}}{\frac{3}{y} - 5}$
2784	Simplify	2x^2(x-1)^0.5-5(x-1)^-0.5	$2 x^{2} {(x - 1)}^{0.5} - 5 {(x - 1)}^{- 0.5}$
2785	Simplify	2+sin(pi/2)	$2 + \sin (\frac{π}{2})$
2786	Simplify	2cos(x)	$2 \cos (x)$
2787	Simplify	2sin(23)cos(23)	$2 \sin (23) \cos (23)$
2788	Simplify	2sin(x-pi/4)	$2 \sin (x - \frac{π}{4})$
2789	Simplify	2sin(3x)cos(3x)	$2 \sin (3 x) \cos (3 x)$
2790	Simplify	152sin(x)^2cos(x)^2	$152 \sin^{2} (x) \cos^{2} (x)$
2791	Simplify	1+sin(2x)	$1 + \sin (2 x)$
2792	Simplify	1+cot(-x)	$1 + \cot (- x)$
2793	Simplify	fourth root of 3^2	$\sqrt[4]{3^{2}}$
2794	Simplify	1-2sin(pi/8)^2	$1 - 2 \sin^{2} (\frac{π}{8})$
2795	Simplify	1+cos(8x)	$1 + \cos (8 x)$
2796	Simplify	2n^(-2/3)(n^(8/3)-3n^(5/3))	$2 n^{- \frac{2}{3}} (n^{\frac{8}{3}} - 3 n^{\frac{5}{3}})$
2797	Simplify	2cos(pi/8)^2-1	$2 \cos^{2} (\frac{π}{8}) - 1$
2798	Solve for x	500/(100-e^(x/2))=20	$\frac{500}{100 - e^{\frac{x}{2}}} = 20$
2799	Solve for x	6/(x-5)+2/(x+5)=84/(x^2-25)	$\frac{6}{x - 5} + \frac{2}{x + 5} = \frac{84}{x^{2} - 25}$
2800	Solve for x	5^(x-1)=1/125	$5^{x - 1} = \frac{1}{125}$