Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14901	Simplify	14^210^2-2(1410)cos(40)	$14^{2} \cdot 10^{2} - 2 (14 \cdot 10) \cos (40)$
14902	Simplify	(16s^2+8st+t^2)/(2s^2-5st-3t^2)*((2s^2-7st+3t^2)/(t^2+3st-4s^2))/((8s^2-2st-t^2)/(2s^2+3st+t^2))	$\frac{16 s^{2} + 8 s t + t^{2}}{2 s^{2} - 5 s t - 3 t^{2}} \cdot \frac{\frac{2 s^{2} - 7 s t + 3 t^{2}}{t^{2} + 3 s t - 4 s^{2}}}{\frac{8 s^{2} - 2 s t - t^{2}}{2 s^{2} + 3 s t + t^{2}}}$
14903	Simplify	(-13pi)/6	$\frac{- 13 π}{6}$
14904	Simplify	(13pi)/15	$\frac{13 π}{15}$
14905	Simplify	(13pi)/15+pi/5	$\frac{13 π}{15} + \frac{π}{5}$
14906	Simplify	(-13pi)/3	$\frac{- 13 π}{3}$
14907	Simplify	120/169	$\frac{120}{169}$
14908	Simplify	128/180	$\frac{128}{180}$
14909	Simplify	11200^2+9000^2-2112009000cos(17)	$11200^{2} + 9000^{2} - 2 \cdot 11200 \cdot 9000 \cos (17)$
14910	Simplify	11^2+28^2-21128cos(41)	$11^{2} + 28^{2} - 2 \cdot 11 \cdot 28 \cos (41)$
14911	Simplify	(1+tan(x))/(sin(x))-sec(x)	$\frac{1 + \tan (x)}{\sin (x)} - \sec (x)$
14912	Simplify	(1+tan(x))/(sin(x)+cos(x))	$\frac{1 + \tan (x)}{\sin (x) + \cos (x)}$
14913	Simplify	(11pi)/2	$\frac{11 π}{2}$
14914	Simplify	(11pi)/3	$\frac{11 π}{3}$
14915	Simplify	(11pi)/4	$\frac{11 π}{4}$
14916	Simplify	(10pi)/9	$\frac{10 π}{9}$
14917	Simplify	11/( square root of 3)	$\frac{11}{\sqrt{3}}$
14918	Simplify	(11pi)/6*180/pi	$\frac{11 π}{6} \cdot \frac{180}{π}$
14919	Simplify	(12r^-5(r^2)^5)/(19(r^-4)^2)	$\frac{12 r^{- 5} {(r^{2})}^{5}}{19 {(r^{- 4})}^{2}}$
14920	Simplify	(12sin(x)^2+15sin(x)+3)/(3sin(x)^2+9sin(x)+6)	$\frac{12 \sin^{2} (x) + 15 \sin (x) + 3}{3 \sin^{2} (x) + 9 \sin (x) + 6}$
14921	Simplify	(1+tan(x))/(1-tan(x))	$\frac{1 + \tan (x)}{1 - \tan (x)}$
14922	Simplify	(10pi)/3	$\frac{10 π}{3}$
14923	Simplify	107000/(1+4200e^(-(4)))	$\frac{107000}{1 + 4200 e^{- (4)}}$
14924	Simplify	10/(pq)+4/q	$\frac{10}{p q} + \frac{4}{q}$
14925	Simplify	10^2+12^2-210(12cos(90))	$10^{2} + 12^{2} - 2 \cdot 10 \cdot (12 \cos (90))$
14926	Simplify	(1+sin(x))/(1-sin(x))	$\frac{1 + \sin (x)}{1 - \sin (x)}$
14927	Simplify	(1+sec(x))/(tan(x)+sin(x))	$\frac{1 + \sec (x)}{\tan (x) + \sin (x)}$
14928	Simplify	(1+sec(x))/(sin(x)+tan(x))	$\frac{1 + \sec (x)}{\sin (x) + \tan (x)}$
14929	Simplify	tan(theta)csc(theta)	$\tan (θ) \csc (θ)$
14930	Simplify	(1+sec(-x))/(sin(-x)+tan(-x))	$\frac{1 + \sec (- x)}{\sin (- x) + \tan (- x)}$
14931	Simplify	(1+csc(x))/(cos(x)cot(x))	$\frac{1 + \csc (x)}{\cos (x) \cot (x)}$
14932	Simplify	(1+csc(x))/(cot(x))	$\frac{1 + \csc (x)}{\cot (x)}$
14933	Simplify	(1+cot(a))/(csc(a))	$\frac{1 + \cot (a)}{\csc (a)}$
14934	Simplify	1/(sin(x)+1)+1/(sin(x)-1)	$\frac{1}{\sin (x) + 1} + \frac{1}{\sin (x) - 1}$
14935	Simplify	(1+cos(x))/(1-cos(x))	$\frac{1 + \cos (x)}{1 - \cos (x)}$
14936	Simplify	(1+cos(2x))/(sin(2x))	$\frac{1 + \cos (2 x)}{\sin (2 x)}$
14937	Simplify	(1+cos(2x))/(2cos(x)^2)	$\frac{1 + \cos (2 x)}{2 \cos^{2} (x)}$
14938	Simplify	(1+cos(a)tan(a)csc(a))/(sec(a))	$\frac{1 + \cos (a) \tan (a) \csc (a)}{\sec (a)}$
14939	Simplify	1/x+1	$\frac{1}{x} + 1$
14940	Simplify	(1+sin(x+y)^2)/(2+\|x-(2x)/(1+x^2y^2)\|)	$\frac{1 + \sin^{2} (x + y)}{2 + \| x - \frac{2 x}{1 + x^{2} y^{2}} \|}$
14941	Simplify	(1+(2t+1-t^2)/(1+t^2))/(1+(2t-1+t^2)/(1+t^2))	$\frac{1 + \frac{2 t + 1 - t^{2}}{1 + t^{2}}}{1 + \frac{2 t - 1 + t^{2}}{1 + t^{2}}}$
14942	Simplify	1/(sin(x)+1)-1/(sin(x)-1)	$\frac{1}{\sin (x) + 1} - \frac{1}{\sin (x) - 1}$
14943	Simplify	1/(sin(x))+(cos(x))/(sin(x))	$\frac{1}{\sin (x)} + \frac{\cos (x)}{\sin (x)}$
14944	Simplify	1/(sin(x))-(cos(x)^2)/(sin(x))	$\frac{1}{\sin (x)} - \frac{\cos^{2} (x)}{\sin (x)}$
14945	Simplify	1/(sin(x))-1/(csc(x))	$\frac{1}{\sin (x)} - \frac{1}{\csc (x)}$
14946	Simplify	1/(sin(a)-1)-1/(sin(a)+1)	$\frac{1}{\sin (a) - 1} - \frac{1}{\sin (a) + 1}$
14947	Simplify	1/(sin(x))*tan(x)	$\frac{1}{\sin (x)} \cdot \tan (x)$
14948	Simplify	1/(sin(2))-1/(tan(2))	$\frac{1}{\sin (2)} - \frac{1}{\tan (2)}$
14949	Simplify	1/(sin(10))-( square root of 3)/(cos(10))	$\frac{1}{\sin (10)} - \frac{\sqrt{3}}{\cos (10)}$
14950	Simplify	1/(cot(x)^2)	$\frac{1}{\cot^{2} (x)}$
14951	Simplify	1/(cos(a)^2)	$\frac{1}{\cos^{2} (a)}$
14952	Simplify	1/(1/(cos(x)))	$\frac{1}{\frac{1}{\cos (x)}}$
14953	Simplify	1/(sin(x)^2)+(sec(x)^2)/(tan(x)^2)	$\frac{1}{\sin^{2} (x)} + \frac{\sec^{2} (x)}{\tan^{2} (x)}$
14954	Simplify	1/(sin(x)^3)-(cot(x)^2)/(sin(x))	$\frac{1}{\sin^{3} (x)} - \frac{\cot^{2} (x)}{\sin (x)}$
14955	Simplify	1/(1-cos(x)^2)	$\frac{1}{1 - \cos^{2} (x)}$
14956	Simplify	1/(1-sec(x)^2)	$\frac{1}{1 - \sec^{2} (x)}$
14957	Simplify	1/2*((19.4)(7.5)sin(35))	$\frac{1}{2} \cdot ((19.4) (7.5) \sin (35))$
14958	Simplify	1/2*((8)(5)sin(47))	$\frac{1}{2} \cdot ((8) (5) \sin (47))$
14959	Simplify	1/230^2(5pi)/6	$\frac{1}{2} \cdot 30^{2} \cdot \frac{5 π}{6}$
14960	Simplify	1/(1+sec(x))-1/(1-sec(x))	$\frac{1}{1 + \sec (x)} - \frac{1}{1 - \sec (x)}$
14961	Simplify	1/(1+sin(0))+1/(1-sin(0))	$\frac{1}{1 + \sin (0)} + \frac{1}{1 - \sin (0)}$
14962	Simplify	1/(1+tan(x))+1/(1-tan(x))	$\frac{1}{1 + \tan (x)} + \frac{1}{1 - \tan (x)}$
14963	Simplify	1/(1sin(x))+1/(-sin(1))	$\frac{1}{1 \sin (x)} + \frac{1}{- \sin (1)}$
14964	Simplify	1/(1-sec(x))-1/(1+sec(x))	$\frac{1}{1 - \sec (x)} - \frac{1}{1 + \sec (x)}$
14965	Simplify	1/(1-cos(y))+1/(1+cos(y))	$\frac{1}{1 - \cos (y)} + \frac{1}{1 + \cos (y)}$
14966	Simplify	1/(1-sin(x))+1/(1+sin(x))	$\frac{1}{1 - \sin (x)} + \frac{1}{1 + \sin (x)}$
14967	Simplify	1/(1-tan(x))	$\frac{1}{1 - \tan (x)}$
14968	Simplify	1/(sec(x)-tan(x))	$\frac{1}{\sec (x) - \tan (x)}$
14969	Simplify	1/(sec(x)+1)+1/(sec(x)-1)	$\frac{1}{\sec (x) + 1} + \frac{1}{\sec (x) - 1}$
14970	Simplify	1/(sec(90-t))	$\frac{1}{\sec (90 - t)}$
14971	Simplify	1/(csc(x)+1)-1/(csc(x)-1)	$\frac{1}{\csc (x) + 1} - \frac{1}{\csc (x) - 1}$
14972	Simplify	1/(cos(x))+(sin(x))/(cos(x))	$\frac{1}{\cos (x)} + \frac{\sin (x)}{\cos (x)}$
14973	Simplify	1/(cos(z))-(sin(x))/(cos(z))	$\frac{1}{\cos (z)} - \frac{\sin (x)}{\cos (z)}$
14974	Simplify	1/(cos(x)sin(x))-tan(x)	$\frac{1}{\cos (x) \sin (x)} - \tan (x)$
14975	Simplify	1/2*tan(x)	$\frac{1}{2} \cdot \tan (x)$
14976	Simplify	1/2*((18)sin(30))	$\frac{1}{2} \cdot ((18) \sin (30))$
14977	Simplify	1/2cos(x)+( square root of 3)/2sin(x)	$\frac{1}{2} \cdot \cos (x) + \frac{\sqrt{3}}{2} \cdot \sin (x)$
14978	Simplify	1/(2p)	$\frac{1}{2 p}$
14979	Simplify	1/(2sin(x)cos(x))	$\frac{1}{2 \sin (x) \cos (x)}$
14980	Simplify	1/(cos(x))*(cos(x))/(sin(x))	$\frac{1}{\cos (x)} \cdot \frac{\cos (x)}{\sin (x)}$
14981	Simplify	1/(cos(t))-cos(t)	$\frac{1}{\cos (t)} - \cos (t)$
14982	Simplify	1/(cos(t))-sin(t)tan(t)	$\frac{1}{\cos (t)} - \sin (t) \tan (t)$
14983	Simplify	1/245*sin(115)	$\frac{1}{2} \cdot 4 \cdot 5 \cdot \sin (115)$
14984	Simplify	1/2cos(pi/12)+( square root of 3)/2sin(pi/12)	$\frac{1}{2} \cdot \cos (\frac{π}{12}) + \frac{\sqrt{3}}{2} \cdot \sin (\frac{π}{12})$
14985	Simplify	1/24052*sin(135)	$\frac{1}{2} \cdot 40 \cdot 52 \cdot \sin (135)$
14986	Simplify	1/2*(sin(123+102))+sin(123-102)	$\frac{1}{2} \cdot (\sin (123 + 102)) + \sin (123 - 102)$
14987	Simplify	1/2cos(3x)+( square root of 3)/2sin(3x)	$\frac{1}{2} \cdot \cos (3 x) + \frac{\sqrt{3}}{2} \cdot \sin (3 x)$
14988	Simplify	1/2*(sec(x)csc(x))	$\frac{1}{2} \cdot (\sec (x) \csc (x))$
14989	Simplify	(sin(x)^4)/(cos(x)^4)	$\frac{\sin^{4} (x)}{\cos^{4} (x)}$
14990	Simplify	(sin(x)^4)/(tan(x)^2)	$\frac{\sin^{4} (x)}{\tan^{2} (x)}$
14991	Simplify	(sin(x)^4cos(x))/(cos(x)^4sin(x))	$\frac{\sin^{4} (x) \cos (x)}{\cos^{4} (x) \sin (x)}$
14992	Simplify	(t^4+6t^3-7t^2)/(t^6+2t^5-3t^4)	$\frac{t^{4} + 6 t^{3} - 7 t^{2}}{t^{6} + 2 t^{5} - 3 t^{4}}$
14993	Simplify	(sin(x)^2cot(x))/(cos(x))	$\frac{\sin^{2} (x) \cot (x)}{\cos (x)}$
14994	Simplify	(tan(x)^2)/(sec(x)^2)+(cot(x)^2)/(csc(x)^2)	$\frac{\tan^{2} (x)}{\sec^{2} (x)} + \frac{\cot^{2} (x)}{\csc^{2} (x)}$
14995	Simplify	(tan(x)^3-1)/(tan(x)-1)	$\frac{\tan^{3} (x) - 1}{\tan (x) - 1}$
14996	Simplify	(-tan(x)^2-1)/(sec(x)^2)	$\frac{- \tan^{2} (x) - 1}{\sec^{2} (x)}$
14997	Simplify	( square root of 10)/10	$\frac{\sqrt{10}}{10}$
14998	Simplify	-( square root of 108)/(2 square root of 3)	$- \frac{\sqrt{108}}{2 \sqrt{3}}$
14999	Simplify	(x^2+13x+42)/(x^2+x-42)*(x^2-49)/(x^2-x-42)	$\frac{x^{2} + 13 x + 42}{x^{2} + x - 42} \cdot \frac{x^{2} - 49}{x^{2} - x - 42}$
15000	Simplify	(x^-1+y^-1)/(x^-1-y^-1)	$\frac{x^{- 1} + y^{- 1}}{x^{- 1} - y^{- 1}}$