Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110901	Find the Domain	f(x)=1/( square root of x-15)	$f (x) = \frac{1}{\sqrt{x - 15}}$
110902	Divide	(x^2-6x+8)/(x-4)	$\frac{x^{2} - 6 x + 8}{x - 4}$
110903	Divide	(x^2-3x)/(2x-6)	$\frac{x^{2} - 3 x}{2 x - 6}$
110904	Divide	(x^2-4)/(x+20)	$\frac{x^{2} - 4}{x + 20}$
110905	Divide	(x^2-3x-18)/(x+3)	$\frac{x^{2} - 3 x - 18}{x + 3}$
110906	Find the Domain	f(x)=8/x	$f (x) = \frac{8}{x}$
110907	Find the Domain	f(x) = square root of x-5	$f (x) = \sqrt{x} - 5$
110908	Find the Domain	f(x)=(x+3)/(x-5)	$f (x) = \frac{x + 3}{x - 5}$
110909	Find Where Increasing/Decreasing	f(x)=-x^2-6x-9	$f (x) = - x^{2} - 6 x - 9$
110910	Find the Domain	f(x)=x^2+5x+6	$f (x) = x^{2} + 5 x + 6$
110911	Factor	x^3-13x^2-30x	$x^{3} - 13 x^{2} - 30 x$
110912	Find the Domain	f(x) = square root of 4x-20	$f (x) = \sqrt{4 x - 20}$
110913	Find the Domain and Range	y = natural log of \|x\|	$y = \ln (\| x \|)$
110914	Find the Center and Radius	x^2+y^2+10x+2y+17=0	$x^{2} + y^{2} + 10 x + 2 y + 17 = 0$
110915	Find the Center and Radius	x^2+y^2+12x+4y+31=0	$x^{2} + y^{2} + 12 x + 4 y + 31 = 0$
110916	Find the Domain	x=8	$x = 8$
110917	Convert to Radical Form	100x^(1/2)	$100 x^{\frac{1}{2}}$
110918	Find the Domain	g(x) = square root of x-3	$g (x) = \sqrt{x - 3}$
110919	Convert to Radical Form	3^(1/6)	$3^{\frac{1}{6}}$
110920	Convert to Radical Form	(8x)^(1/2)	${(8 x)}^{\frac{1}{2}}$
110921	Write in Slope-Intercept Form	3(y-2)+6(x+1)-2=0	$3 (y - 2) + 6 (x + 1) - 2 = 0$
110922	Find the Domain	f(x)=1/( square root of x-9)	$f (x) = \frac{1}{\sqrt{x - 9}}$
110923	Divide	(12x^3-14x^2-40x)/(2x-5)	$\frac{12 x^{3} - 14 x^{2} - 40 x}{2 x - 5}$
110924	Find the Domain	f(x)=(5x)/(9-x)	$f (x) = \frac{5 x}{9 - x}$
110925	Find the Domain	f(x)=(5x)/(x-4)	$f (x) = \frac{5 x}{x - 4}$
110926	Find the Domain	f(x)=7/(x-3)	$f (x) = \frac{7}{x - 3}$
110927	Find the Domain	f(x)=4/(x-3)	$f (x) = \frac{4}{x - 3}$
110928	Find the Domain	g(x) = square root of 6-x	$g (x) = \sqrt{6 - x}$
110929	Find the Domain	f(x)=(2x)/(x-1)	$f (x) = \frac{2 x}{x - 1}$
110930	Find the Domain	f(x)=(3x)/(2x-4)	$f (x) = \frac{3 x}{2 x - 4}$
110931	Find the Roots (Zeros)	f(t)=t^2-13t+36	$f (t) = t^{2} - 13 t + 36$
110932	Find the Domain	y = square root of x+6-7	$y = \sqrt{x + 6} - 7$
110933	Find the Vertex	k(x)=(x-1)^2-4	$k (x) = {(x - 1)}^{2} - 4$
110934	Divide	(2x^3+9x^2+14x+5)/(2x+1)	$\frac{2 x^{3} + 9 x^{2} + 14 x + 5}{2 x + 1}$
110935	Divide	(2x^4-4x^3-12x-15)/(x-3)	$\frac{2 x^{4} - 4 x^{3} - 12 x - 15}{x - 3}$
110936	Divide	(x^3+5x^2+5x-2)/(x+2)	$\frac{x^{3} + 5 x^{2} + 5 x - 2}{x + 2}$
110937	Divide	(x^3+2x^2-x-2)/(x+2)	$\frac{x^{3} + 2 x^{2} - x - 2}{x + 2}$
110938	Divide	(x^2-74)/(x-8)	$\frac{x^{2} - 74}{x - 8}$
110939	Divide	(a^(2n)-a^n-6)/(a^n+8)	$\frac{a^{2 n} - a^{n} - 6}{a^{n} + 8}$
110940	Write in Standard Form	x^2-2x+y^2-3=0	$x^{2} - 2 x + y^{2} - 3 = 0$
110941	Divide	(n^2-n-29)/(n-6)	$\frac{n^{2} - n - 29}{n - 6}$
110942	Divide	(3x^4+2x^3-x^2+2x-19)÷(x+2)	$(3 x^{4} + 2 x^{3} - x^{2} + 2 x - 19) \div (x + 2)$
110943	Subtract	7/10-1/15	$\frac{7}{10} - \frac{1}{15}$
110944	Find the Domain	y=3e^x	$y = 3 e^{x}$
110945	Find the Roots (Zeros)	3x^5-10x^4-21x^2+70x	$3 x^{5} - 10 x^{4} - 21 x^{2} + 70 x$
110946	Convert to a Decimal	35/22	$\frac{35}{22}$
110947	Convert to a Decimal	9 1/2%	$9 \frac{1}{2} %$
110948	Simplify	( square root of 13+2)/3	$\frac{\sqrt{13} + 2}{3}$
110949	Convert to Scientific Notation	(1.88*10^6)/2000	$\frac{1.88 \cdot 10^{6}}{2000}$
110950	Convert to Scientific Notation	53010000	$53010000$
110951	Evaluate	(7 square root of 3-3 square root of 2)/(3 square root of 2-2 square root of 3)	$\frac{7 \sqrt{3} - 3 \sqrt{2}}{3 \sqrt{2} - 2 \sqrt{3}}$
110952	Convert to Scientific Notation	(5.410^12)/(1.210^3)	$\frac{5.4 \cdot 10^{12}}{1.2 \cdot 10^{3}}$
110953	Evaluate	3/(9- square root of 7)	$\frac{3}{9 - \sqrt{7}}$
110954	Evaluate	35/( square root of 7)	$\frac{35}{\sqrt{7}}$
110955	Find the x and y Intercepts	y^2-x-25=0	$y^{2} - x - 25 = 0$
110956	Find the x and y Intercepts	6x-2y=-18	$6 x - 2 y = - 18$
110957	Find the x and y Intercepts	y=3x^3-3	$y = 3 x^{3} - 3$
110958	Evaluate	3/(2 square root of 7)	$\frac{3}{2 \sqrt{7}}$
110959	Find the x and y Intercepts	2x+10=-2y+10	$2 x + 10 = - 2 y + 10$
110960	Evaluate	(4 square root of 6)/( square root of 30)	$\frac{4 \sqrt{6}}{\sqrt{30}}$
110961	Find the x and y Intercepts	y^2-x-4=0	$y^{2} - x - 4 = 0$
110962	Find the x and y Intercepts	-6/7y=x	$- \frac{6}{7} y = x$
110963	Evaluate	5/(1+ square root of 10)	$\frac{5}{1 + \sqrt{10}}$
110964	Evaluate	(5- square root of 7)/(9- square root of 14)	$\frac{5 - \sqrt{7}}{9 - \sqrt{14}}$
110965	Divide	5/(8i)	$\frac{5}{8 i}$
110966	Find the Axis of Symmetry	f(x)=2x^2-3x+2	$f (x) = 2 x^{2} - 3 x + 2$
110967	Divide	5/(5/x)	$\frac{5}{\frac{5}{x}}$
110968	Divide	(4x-4)/(6x-20)	$\frac{4 x - 4}{6 x - 20}$
110969	Divide	(6a^-1c^-3)/(d^0)	$\frac{6 a^{- 1} c^{- 3}}{d^{0}}$
110970	Divide	7/(-i)	$\frac{7}{- i}$
110971	Write in y=mx+b Form	y-4=2(x-2)	$y - 4 = 2 (x - 2)$
110972	Divide	8/(7i)	$\frac{8}{7 i}$
110973	Divide	(2pi)/(pi-7)	$\frac{2 π}{π - 7}$
110974	Find the Domain and Range	y=-12/x	$y = - \frac{12}{x}$
110975	Find the Domain	f(x) = log base 4 of 5-x	$f (x) = \log_{4} (5 - x)$
110976	Divide	(3r^3)/(2r)	$\frac{3 r^{3}}{2 r}$
110977	Find the Domain	f(x) = square root of 24-4x	$f (x) = \sqrt{24 - 4 x}$
110978	Find the Domain	f(x)=1/( square root of x-13)	$f (x) = \frac{1}{\sqrt{x - 13}}$
110979	Divide	3/(a^-9b)	$\frac{3}{a^{- 9} b}$
110980	Divide	(3y^3+2y^2-7y+2)/(3y-1)	$\frac{3 y^{3} + 2 y^{2} - 7 y + 2}{3 y - 1}$
110981	Divide	(4x^3)/(28x^4)	$\frac{4 x^{3}}{28 x^{4}}$
110982	Divide	(4x^2-16)/(2-x)	$\frac{4 x^{2} - 16}{2 - x}$
110983	Identify the Zeros and Their Multiplicities	f(x)=x^3-26x^2+169x	$f (x) = x^{3} - 26 x^{2} + 169 x$
110984	Divide	(3x-6)/(6-3x)	$\frac{3 x - 6}{6 - 3 x}$
110985	Find the Asymptotes	(x^3-9x)/(3x^2-6x-9)	$\frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
110986	Divide	(4e^x)/(e^(4x))	$\frac{4 e^{x}}{e^{4 x}}$
110987	Graph	y>=3x+4	$y \geq 3 x + 4$
110988	Divide	(x+2)/(x-1)	$\frac{x + 2}{x - 1}$
110989	Convert to Logarithmic Form	0.00032=5^-5	$0.00032 = 5^{- 5}$
110990	Divide	(x+6)/(x-6)	$\frac{x + 6}{x - 6}$
110991	Find the Slope and y-intercept	-4x+2y=-8	$- 4 x + 2 y = - 8$
110992	Divide	(x-3)/(x+3)	$\frac{x - 3}{x + 3}$
110993	Divide	(x-5)/(x+5)	$\frac{x - 5}{x + 5}$
110994	Find the Inverse	y = natural log of x+9	$y = \ln (x + 9)$
110995	Divide	(m-2)/(4-2m)	$\frac{m - 2}{4 - 2 m}$
110996	Find the Inverse	y = log base 3 of -4x	$y = \log_{3} (- 4 x)$
110997	Divide	9/(7i)	$\frac{9}{7 i}$
110998	Find the Directrix	-8(y-3)=(x+4)^2	$- 8 (y - 3) = {(x + 4)}^{2}$
110999	Graph	y<=3x-2	$y \leq 3 x - 2$
111000	Graph	y=3x^2-7x+1	$y = 3 x^{2} - 7 x + 1$