Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189001	Solve the Inequality for x	\|x-3\|>-1	$\| x - 3 \| > - 1$
189002	Solve the Inequality for x	(x-6)/((x-3)(x-9))<0	$\frac{x - 6}{(x - 3) (x - 9)} < 0$
189003	Find the Function	f(x)=2(x)^2+5 square root of x+2	$f (x) = 2 {(x)}^{2} + 5 \sqrt{x + 2}$
189004	Solve for B	(2pi)/B=2	$\frac{2 π}{B} = 2$
189005	Simplify	( square root of -4)^2	${(\sqrt{- 4})}^{2}$
189006	Multiply	square root of 2* square root of 3* square root of 13	$\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{13}$
189007	Find the x and y Intercepts	y=2- square root of x	$y = 2 - \sqrt{x}$
189008	Simplify	(1/x+1/(x^2))/(1/9+1/(3x))	$\frac{\frac{1}{x} + \frac{1}{x^{2}}}{\frac{1}{9} + \frac{1}{3 x}}$
189009	Evaluate	f(2)=e^2	$f (2) = e^{2}$
189010	Simplify	9-8-19x-4x	$9 - 8 - 19 x - 4 x$
189011	Find the Roots (Zeros)	-8x^2-3x-2=-10x^2	$- 8 x^{2} - 3 x - 2 = - 10 x^{2}$
189012	Solve for x	-1/2(3x-5)=7	$- \frac{1}{2} (3 x - 5) = 7$
189013	Solve the Inequality for y	y/3<-1	$\frac{y}{3} < - 1$
189014	Simplify	(5-2 square root of 2)/( square root of 12)	$\frac{5 - 2 \sqrt{2}}{\sqrt{12}}$
189015	Simplify	(3x)/(x+3)+(x+2)/x	$\frac{3 x}{x + 3} + \frac{x + 2}{x}$
189016	Multiply	(x-1+i)(x-1-i)	$(x - 1 + i) (x - 1 - i)$
189017	Solve the Rational Equation for x	x/(x-2)+1/5=2/(x-2)	$\frac{x}{x - 2} + \frac{1}{5} = \frac{2}{x - 2}$
189018	Solve for t	-16<=8/3t	$- 16 \leq \frac{8}{3} t$
189019	Evaluate	(pi/6)/(2pi)	$\frac{\frac{π}{6}}{2 π}$
189020	Solve for b	-ab+a=b-1	$- a b + a = b - 1$
189021	Find the Exact Value	(2/3)^-1	${(\frac{2}{3})}^{- 1}$
189022	Evaluate	e^0+1	$e^{0} + 1$
189023	Simplify	2^3*2^2	$2^{3} \times 2^{2}$
189024	Graph	y<x-4 y>=-1/2x+5	$y < x - 4$ $y \geq - \frac{1}{2} x + 5$
189025	Solve for x	-8.5=x/2.5-3	$- 8.5 = \frac{x}{2.5} - 3$
189026	Find the x and y Intercepts	y=1/4(8x-x^2)	$y = \frac{1}{4} (8 x - x^{2})$
189027	Solve for h	1/2(6h-4)=-5h+1	$\frac{1}{2} (6 h - 4) = - 5 h + 1$
189028	Solve for x	3-4x=18+x	$3 - 4 x = 18 + x$
189029	Graph	3-4x=-3-x^2-4x	$3 - 4 x = - 3 - x^{2} - 4 x$
189030	Solve for C	A=2CD+2CB	$A = 2 C D + 2 C B$
189031	Simplify	2m^3n^2*3mn^4	$2 m^{3} n^{2} \cdot 3 m n^{4}$
189032	Evaluate	1/(8*2^2)	$\frac{1}{8 \cdot 2^{2}}$
189033	Simplify	-cot(x)sin(x)	$- \cot (x) \sin (x)$
189034	Find the x and y Intercepts	f(x)=(3x^2-192)/(x+5)	$f (x) = \frac{3 x^{2} - 192}{x + 5}$
189035	Graph	y>-4/5x	$y > - \frac{4}{5} x$
189036	Factor	ab+bc	$a b + b c$
189037	Simplify	2( square root of 2)	$2 (\sqrt{2})$
189038	Solve the Inequality for x	y>=2x^2-3x+1	$y \geq 2 x^{2} - 3 x + 1$
189039	Solve for n	5(n-6)=4(n-7)	$5 (n - 6) = 4 (n - 7)$
189040	Solve for x	2(x-a)+b=3x+a	$2 (x - a) + b = 3 x + a$
189041	Solve the Inequality for s	-4s<-8	$- 4 s < - 8$
189042	Find the Roots (Zeros)	2x^2+x-2=4	$2 x^{2} + x - 2 = 4$
189043	Simplify	2 square root of 3*4 square root of 5	$2 \sqrt{3} \cdot 4 \sqrt{5}$
189044	Find the Distance Between Two Points	(-8,0) and (1,7)	$(- 8, 0)$ and $(1, 7)$
189045	Evaluate	1/3(-4)^2-5	$\frac{1}{3} {(- 4)}^{2} - 5$
189046	Convert to Interval Notation	x<=4 or x>=8	$x \leq 4$ or $x \geq 8$
189047	Solve for t	t-27=4t	$t - 27 = 4 t$
189048	Solve for t	h(t)=50-t/5	$h (t) = 50 - \frac{t}{5}$
189049	Solve for x	4/(3x)-1=-1/(6x)	$\frac{4}{3 x} - 1 = - \frac{1}{6 x}$
189050	Graph	f(x)=arccos(x)	$f (x) = \arccos (x)$
189051	Find the Quotient	(90x^5y^6-108x^2y^3-126x)/(-9x)	$\frac{90 x^{5} y^{6} - 108 x^{2} y^{3} - 126 x}{- 9 x}$
189052	Write in Slope-Intercept Form	x+y>-2	$x + y > - 2$
189053	Simplify	(3-x^2)(x^2-4)	$(3 - x^{2}) (x^{2} - 4)$
189054	Evaluate the Function	V(3)=4/3pir^3	$V (3) = \frac{4}{3} π r^{3}$
189055	Find the LCM	6 and 12	$6$ and $12$
189056	Find All Complex Solutions	(x+1)/(x-3)=-(x^2-6x+1)/((x-3)(x-1))	$\frac{x + 1}{x - 3} = - \frac{x^{2} - 6 x + 1}{(x - 3) (x - 1)}$
189057	Solve for c	2>c/3	$2 > \frac{c}{3}$
189058	Find the Domain and Range	F(x)=5+1/x	$F (x) = 5 + \frac{1}{x}$
189059	Evaluate Using the Given Value	-2x^2+1 for x=-3	$- 2 x^{2} + 1$ for $x = - 3$
189060	Find the x and y Intercepts	f(x)=(x+2)/(2x+6)	$f (x) = \frac{x + 2}{2 x + 6}$
189061	Graph	y=x+8 y=-3/2x-2	$y = x + 8$ $y = - \frac{3}{2} x - 2$
189062	Evaluate	2^(2+ log base 2 of 10)	$2^{2 + \log_{2} (10)}$
189063	Evaluate	-1/3(-5)^2+4	$- \frac{1}{3} {(- 5)}^{2} + 4$
189064	Graph	y(x^2+1)=1	$y (x^{2} + 1) = 1$
189065	Multiply	(a^5)/10*5/(a^3)	$\frac{a^{5}}{10} \cdot \frac{5}{a^{3}}$
189066	Solve for θ	2cos(theta)^2-3cos(theta)+1=0	$2 \cos^{2} (θ) - 3 \cos (θ) + 1 = 0$
189067	Find All Complex Solutions	2cos(theta)^2-3cos(theta)+1=0	$2 \cos^{2} (θ) - 3 \cos (θ) + 1 = 0$
189068	Simplify	(3/2x^-7)(2x^-1)^5	$(\frac{3}{2} x^{- 7}) {(2 x^{- 1})}^{5}$
189069	Graph	5x+6y>1 y-x<0	$5 x + 6 y > 1$ $y - x < 0$
189070	Evaluate	1-1/(1-1/(1-1/2))	$1 - \frac{1}{1 - \frac{1}{1 - \frac{1}{2}}}$
189071	Simplify	x^2+(-3x-x^2+5)	$x^{2} + (- 3 x - x^{2} + 5)$
189072	Solve for x	square root of x<0	$\sqrt{x} < 0$
189073	Evaluate	tan(arccos(( square root of 3)/2))	$\tan (\arccos (\frac{\sqrt{3}}{2}))$
189074	Find the Holes in the Graph	(5x^2-10x+5)/(2x^2-x-1)	$\frac{5 x^{2} - 10 x + 5}{2 x^{2} - x - 1}$
189075	Solve the System of Equations	12q+3r=15 -4q-4r=-44	$12 q + 3 r = 15$ $- 4 q - 4 r = - 44$
189076	Find the Domain and Range	3y-xy=2	$3 y - x y = 2$
189077	Solve by Factoring	7v^2-42=-35v	$7 v^{2} - 42 = - 35 v$
189078	Solve for n	2/10=4/(n+5)	$\frac{2}{10} = \frac{4}{n + 5}$
189079	Describe the Transformation	h(x)=- natural log of x	$h (x) = - \ln (x)$
189080	Solve for c	2(5c+2)-2c=3(2c+3)+7	$2 (5 c + 2) - 2 c = 3 (2 c + 3) + 7$
189081	Find the Distance Between Two Points	(-7,-1) and (-4,3)	$(- 7, - 1)$ and $(- 4, 3)$
189082	Find the Roots (Zeros)	P(x)=x^5+3x^4-9x^3-31x^2+36	$P (x) = x^{5} + 3 x^{4} - 9 x^{3} - 31 x^{2} + 36$
189083	Graph	-6<g(x)<=3	$- 6 < g (x) \leq 3$
189084	Simplify	-3x(7x+4y-10)	$- 3 x (7 x + 4 y - 10)$
189085	Solve for a	2=a/b+3	$2 = \frac{a}{b} + 3$
189086	Solve for n	1/2(-4+6n)=1/3n+2/3(n+9)	$\frac{1}{2} (- 4 + 6 n) = \frac{1}{3} n + \frac{2}{3} (n + 9)$
189087	Simplify	(4-7)^2-6*7+20	${(4 - 7)}^{2} - 6 \cdot 7 + 20$
189088	Evaluate Using the Given Value	10^(2-b)=10 , 0	$10^{2 - b} = 10$ , $0$
189089	Solve the Inequality for a	-168>-12a	$- 168 > - 12 a$
189090	Simplify	square root of 6* square root of 8	$\sqrt{6 \cdot \sqrt{8}}$
189091	Simplify	-4r+s-2r-3s	$- 4 r + s - 2 r - 3 s$
189092	Find the Product	(-3y+1)(4y^2-y-7)	$(- 3 y + 1) (4 y^{2} - y - 7)$
189093	Solve for x	v=(sx)/3	$v = \frac{s x}{3}$
189094	Find the Product	9=-3(e-2)	$9 = - 3 (e - 2)$
189095	Solve for x	-1/4(-4x-6)-6=-1/2x	$- \frac{1}{4} (- 4 x - 6) - 6 = - \frac{1}{2} x$
189096	Simplify	1/3(1-1/4)^2	$\frac{1}{3} {(1 - \frac{1}{4})}^{2}$
189097	Find the x and y Intercepts	-x^4-4x^3+16x^2+64x	$- x^{4} - 4 x^{3} + 16 x^{2} + 64 x$
189098	Divide	(2x^4y^2-4x^3y^3+6x^2y^4)÷(-2x^3y^3)	$(2 x^{4} y^{2} - 4 x^{3} y^{3} + 6 x^{2} y^{4}) \div (- 2 x^{3} y^{3})$
189099	Find the x and y Intercepts	(-2x+8)/(x^2-4x)	$\frac{- 2 x + 8}{x^{2} - 4 x}$
189100	Graph	f(x)=-2 if x<=-1; -1 if x>-1	$f (x) = {\begin{cases} - 2 & x \leq - 1 \\ - 1 & x > - 1 \end{cases}$