Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8001	Solve for M	F=(g(mM))/(r^2)	$F = \frac{g (m M)}{r^{2}}$
8002	Reduce	(23-8a)/(12a^2-46a+43)	$\frac{23 - 8 a}{12 a^{2} - 46 a + 43}$
8003	Write in Standard Form	(10i)/(1-2i)	$\frac{10 i}{1 - 2 i}$
8004	Cancel the Common Factors	(13a)/(10b^2c)	$\frac{13 a}{10 b^{2} c}$
8005	Determine if Prime	x^2+2x-1	$x^{2} + 2 x - 1$
8006	Determine if Prime	pi/2	$\frac{π}{2}$
8007	Reduce	-9/( square root of 130)	$\frac{- 9}{\sqrt{130}}$
8008	Reduce	(a+bi)/(c+di)	$\frac{a + b i}{c + d i}$
8009	Reduce	8/(x^2)	$\frac{8}{x^{2}}$
8010	Determine if Prime	(2x^2-3x+4)*(1-x^2)	$(2 x^{2} - 3 x + 4) \cdot (1 - x^{2})$
8011	Determine if Prime	(7-0.5i)-(5+1.5i)	$(7 - 0.5 i) - (5 + 1.5 i)$
8012	Reduce	2/( square root of 2)	$\frac{2}{\sqrt{2}}$
8013	Reduce	(5xy^-2)/(x^-1y^-3)	$\frac{5 x y^{- 2}}{x^{- 1} y^{- 3}}$
8014	Reduce	(70v^2)/(100v)	$\frac{70 v^{2}}{100 v}$
8015	Reduce	(6a^4b^-5c^6)/((a^-2b^5c)^4)	$\frac{6 a^{4} b^{- 5} c^{6}}{{(a^{- 2} b^{5} c)}^{4}}$
8016	Solve for x	(x-7)^2+(y+3)^2=49/4	${(x - 7)}^{2} + {(y + 3)}^{2} = \frac{49}{4}$
8017	Solve for x	z=x+6y	$z = x + 6 y$
8018	Solve for x	20000=16000	$20000 = 16000$
8019	Solve for x	y=sin(x)tan(x)	$y = \sin (x) \tan (x)$
8020	Find the Asymptotes	6x^2+x+12/(3x^2-5x-2)	$6 x^{2} + x + \frac{12}{3 x^{2} - 5 x - 2}$
8021	Find the Asymptotes	(y-3)^2-4(x-1)^2=36	${(y - 3)}^{2} - 4 {(x - 1)}^{2} = 36$
8022	Solve for x	y^2+8y-x+15=0	$y^{2} + 8 y - x + 15 = 0$
8023	Solve for x	y^2+4y-x+3=0	$y^{2} + 4 y - x + 3 = 0$
8024	Solve for x	8(9^x)-3^x=0	$8 (9^{x}) - 3^{x} = 0$
8025	Solve for x	g(f+g)(x)=2x-3	$g (f + g) (x) = 2 x - 3$
8026	Solve for x	y = log base 5 of x	$y = \log_{5} (x)$
8027	Solve for x	y = square root of (x^2-3x+2x)/(2x-x)	$y = \sqrt{\frac{x^{2} - 3 x + 2 x}{2 x - x}}$
8028	Solve for x	y = square root of 25-x^2	$y = \sqrt{25 - x^{2}}$
8029	Solve for x	y=1/x+5/(x-3)	$y = \frac{1}{x} + \frac{5}{x - 3}$
8030	Solve for x	y=(y+2)/(y^2-2y-15)	$y = \frac{y + 2}{y^{2} - 2 y - 15}$
8031	Solve for x	y=x/(x+3)	$y = \frac{x}{x + 3}$
8032	Solve for x	e^x=9x^2	$e^{x} = 9 x^{2}$
8033	Solve for x	y=cos(x)	$y = \cos (x)$
8034	Solve for x	y=sin(x)	$y = \sin (x)$
8035	Solve for x	1.8=ax^2+bx+c	$1.8 = a x^{2} + b x + c$
8036	Find the Asymptotes	arccos(( square root of 2)/2)	$\arccos (\frac{\sqrt{2}}{2})$
8037	Find the Asymptotes	(x^3)/(x^4-1)	$\frac{x^{3}}{x^{4} - 1}$
8038	Find the Asymptotes	P^x=x^4+4x^3-2x^2+x-4	$P^{x} = x^{4} + 4 x^{3} - 2 x^{2} + x - 4$
8039	Find the Asymptotes	x/( square root of x)	$\frac{x}{\sqrt{x}}$
8040	Find the Asymptotes	2.3e^(-2.5j)	$2.3 e^{- 2.5 j}$
8041	Find the Asymptotes	(x^2+6x+5)/(2x^2+7x+5)	$\frac{x^{2} + 6 x + 5}{2 x^{2} + 7 x + 5}$
8042	Find the Asymptotes	y=x^3	$y = x^{3}$
8043	Find the Asymptotes	(4x-4)/(x^3-8)	$\frac{4 x - 4}{x^{3} - 8}$
8044	Solve for x	5(9^(5x))=1	$5 (9^{5 x}) = 1$
8045	Find the Asymptotes	(x^2)/16-(y^2)/4=1	$\frac{x^{2}}{16} - \frac{y^{2}}{4} = 1$
8046	Find the Asymptotes	(x^2)/9-(y^2)/4=1	$\frac{x^{2}}{9} - \frac{y^{2}}{4} = 1$
8047	Find the Asymptotes	(y^2)/16-(x^2)/36=1	$\frac{y^{2}}{16} - \frac{x^{2}}{36} = 1$
8048	Find the Asymptotes	f(x)=(x(x^2+1))/(2x^2-3x-2)	$f (x) = \frac{(x (x^{2} + 1))}{(2 x^{2} - 3 x - 2)}$
8049	Find the Asymptotes	(x^2-8x+7)/(x^2-49)	$\frac{x^{2} - 8 x + 7}{x^{2} - 49}$
8050	Solve for x	y=a(x-h)^2+k*4x^2+8x-4	$y = a {(x - h)}^{2} + k \cdot 4 x^{2} + 8 x - 4$
8051	Find the Asymptotes	(x^2)/9-(y^2)/16=1	$\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$
8052	Find the Asymptotes	(x^2-64)/(x-8)	$\frac{x^{2} - 64}{x - 8}$
8053	Find the Asymptotes	f((x+5)/(x-6))=-(2x-23)/(5x-19)	$f (\frac{x + 5}{x - 6}) = - \frac{2 x - 23}{5 x - 19}$
8054	Find the Asymptotes	f(n)=7/(n^2-7n+10)	$f (n) = \frac{7}{n^{2} - 7 n + 10}$
8055	Find the Asymptotes	16y^2-4x^2-64=0	$16 y^{2} - 4 x^{2} - 64 = 0$
8056	Find the Asymptotes	cos(2x)-cos(x)=0	$\cos (2 x) - \cos (x) = 0$
8057	Find the Asymptotes	cube root of x	$\sqrt[3]{x}$
8058	Find the Asymptotes	y^2-x^2=9	$y^{2} - x^{2} = 9$
8059	Find the Asymptotes	f(x)=(4x)/(x-3)	$f (x) = \frac{4 x}{x - 3}$
8060	Find the Asymptotes	f(x)=(2x^2-x-10)/(x^2-4x-12)	$f (x) = \frac{2 x^{2} - x - 10}{x^{2} - 4 x - 12}$
8061	Find the Asymptotes	f(x)=(x^3-64)/(x^2-5x)	$f (x) = \frac{x^{3} - 64}{x^{2} - 5 x}$
8062	Find the Asymptotes	(3x)/(x-4)	$\frac{3 x}{x - 4}$
8063	Find the Asymptotes	f(x)=-(1/5)^x	$f (x) = - {(\frac{1}{5})}^{x}$
8064	Find the Asymptotes	f(x)=-(5/4)^x	$f (x) = - {(\frac{5}{4})}^{x}$
8065	Find the Asymptotes	f(x)=(9/8)^x	$f (x) = {(\frac{9}{8})}^{x}$
8066	Find the Asymptotes	y = natural log of x	$y = \ln (x)$
8067	Find the Asymptotes	f(x)=(x^2+x-12)/(x-5)	$f (x) = \frac{x^{2} + x - 12}{x - 5}$
8068	Find the Range	f(x)=-8x^2-40x+5	$f (x) = - 8 x^{2} - 40 x + 5$
8069	Find the Range	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
8070	Find the Range	f(x)=8x^2	$f (x) = 8 x^{2}$
8071	Find the Range	f(x)=tan(x)	$f (x) = \tan (x)$
8072	Find the Range	f(x)=7-3e^(2x)	$f (x) = 7 - 3 e^{2 x}$
8073	Find the Range	f(x)=cos(x)	$f (x) = \cos (x)$
8074	Find the Range	f(x)=4x-5	$f (x) = 4 x - 5$
8075	Find the Range	f(x)=2x^2-4x-2	$f (x) = 2 x^{2} - 4 x - 2$
8076	Find the Range	f(x)=2x-6	$f (x) = 2 x - 6$
8077	Find the Range	f(x)=x^2-3x-4	$f (x) = x^{2} - 3 x - 4$
8078	Find the Range	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
8079	Find the Range	f(x)=(x-3)/(x^2-9)	$f (x) = \frac{x - 3}{x^{2} - 9}$
8080	Find the Range	f(x)=x^2-6x+5	$f (x) = x^{2} - 6 x + 5$
8081	Find the Range	f(x)=(4x+7)/(6x^2+13-5)	$f (x) = \frac{4 x + 7}{6 x^{2} + 13 - 5}$
8082	Find the Range	f(x)=e^(x-5)	$f (x) = e^{x - 5}$
8083	Find the Range	f(x)=x^2+5x+6	$f (x) = x^{2} + 5 x + 6$
8084	Find the Range	x^2+y^2=49	$x^{2} + y^{2} = 49$
8085	Find the Range	x^(2-16)=0	$x^{2 - 16} = 0$
8086	Find the Range	x^2+y^2-2x-6y+26=0	$x^{2} + y^{2} - 2 x - 6 y + 26 = 0$
8087	Find the Range	x^2-5	$x^{2} - 5$
8088	Find the Range	xy=7	$x y = 7$
8089	Find the Range	y=1/x	$y = \frac{1}{x}$
8090	Find the Range	sin(2x)+cos(x)=0	$\sin (2 x) + \cos (x) = 0$
8091	Find the Range	x=(-1.4- square root of -1.4^2-4-0.025.7)/(2(-0.02))	$x = \frac{- 1.4 - \sqrt{- {1.4}^{2} - 4 \cdot - 0.02 \cdot 5.7}}{2 (- 0.02)}$
8092	Find the Range	h(x)=2^(x-4)+1	$h (x) = 2^{x - 4} + 1$
8093	Find the Range	g(x)=(1/2)^x	$g (x) = {(\frac{1}{2})}^{x}$
8094	Find the Range	g(x)=(3+x^2)/(4-x^2)	$g (x) = \frac{3 + x^{2}}{4 - x^{2}}$
8095	Find the Range	y=-x^2	$y = - x^{2}$
8096	Find the Range	y=arcsin(x/7+2/7)	$y = \arcsin (\frac{x}{7} + \frac{2}{7})$
8097	Find the Range	y = square root of 9-x^2	$y = \sqrt{9 - x^{2}}$
8098	Find the Range	y=0	$y = 0$
8099	Find the Range	y=8/(x^2)+4	$y = \frac{8}{x^{2}} + 4$
8100	Find the Range	y=e^(-x)-1	$y = e^{- x} - 1$