Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173101	Simplify	(3x-5)(x-1)^2	$(3 x - 5) {(x - 1)}^{2}$
173102	Simplify	y^2(-4y+5)-6y^2	$y^{2} (- 4 y + 5) - 6 y^{2}$
173103	Find the Quadratic Equation Given the Roots	-2 and 3	$- 2$ and $3$
173104	Simplify	5*(-2w-4)	$5 \cdot (- 2 w - 4)$
173105	Find the Roots (Zeros)	5x^4+x^3+3x^2-7	$5 x^{4} + x^{3} + 3 x^{2} - 7$
173106	Solve for y	y-2/5=-1/3	$y - \frac{2}{5} = - \frac{1}{3}$
173107	Solve for g	-5+7g=3g+9	$- 5 + 7 g = 3 g + 9$
173108	Solve for n	2/5n+1/10=1/2(n+4)	$\frac{2}{5} n + \frac{1}{10} = \frac{1}{2} (n + 4)$
173109	Simplify	3a^2+9ab+5-4a^2-4ab+3	$3 a^{2} + 9 a b + 5 - 4 a^{2} - 4 a b + 3$
173110	Solve the Rational Equation for x	(5x)/2+(x-2)/8=2	$\frac{5 x}{2} + \frac{x - 2}{8} = 2$
173111	Subtract	4p^2-9p+11 from p^2-5p+4	$4 p^{2} - 9 p + 11$ from $p^{2} - 5 p + 4$
173112	Write as a Single Logarithm	5 log of x+ log of 20- log of 10	$5 \log (x) + \log (20) - \log (10)$
173113	Simplify the Radical Expression	square root of 216	$\sqrt{216}$
173114	Factor	5(x-6)-10(x-6)+12(x-6)	$5 (x - 6) - 10 (x - 6) + 12 (x - 6)$
173115	Write as a Function of x	-9x-3y^2=6	$- 9 x - 3 y^{2} = 6$
173116	Solve for n	-4=-7n-4(1-2n)	$- 4 = - 7 n - 4 (1 - 2 n)$
173117	Describe the Transformation	y=-g(x)	$y = - g (x)$
173118	Simplify	b(a+b)-a(a-b)	$b (a + b) - a (a - b)$
173119	Solve the System of Equations	y=-x^2+1 and y=x^2-1	$y = - x^{2} + 1$ and $y = x^{2} - 1$
173120	Simplify	(x^8*x)/(x^4)	$\frac{x^{8} \cdot x}{x^{4}}$
173121	Simplify	- square root of 65/121	$- \sqrt{\frac{65}{121}}$
173122	Find g(f(x))	f(x)=2x and g(x)=x/2	$f (x) = 2 x$ and $g (x) = \frac{x}{2}$
173123	Simplify	(x+1/2)/(2+1/x)	$\frac{x + \frac{1}{2}}{2 + \frac{1}{x}}$
173124	Convert to Radical Form	(b^2)^(1/9)	${(b^{2})}^{\frac{1}{9}}$
173125	Simplify	19x+2y-10y-7x	$19 x + 2 y - 10 y - 7 x$
173126	Graph	(x^2)/9+(y^2)/16+(z^2)/9=1	$\frac{x^{2}}{9} + \frac{y^{2}}{16} + \frac{z^{2}}{9} = 1$
173127	Solve for x	(81^x)/(9^(5x-8))=9^(f(x))	$\frac{81^{x}}{9^{5 x - 8}} = 9^{f (x)}$
173128	Graph	y=3cos(3/2)(theta-pi)+4	$y = 3 \cos (\frac{3}{2}) (θ - π) + 4$
173129	Solve for x	x*0.9(x+1)=25+x	$x \cdot 0.9 (x + 1) = 25 + x$
173130	Solve for b	\|3b+9\|-16=-52	$\| 3 b + 9 \| - 16 = - 52$
173131	Simplify	9 square root of 3-4 square root of 3+ square root of 5+2 square root of 5	$9 \sqrt{3} - 4 \sqrt{3} + \sqrt{5} + 2 \sqrt{5}$
173132	Solve the System of Inequalities	6+7m<6m-5 or 3m-7<5+6m	$6 + 7 m < 6 m - 5$ or $3 m - 7 < 5 + 6 m$
173133	Solve the System of Equations	y=1/3x-10 2x+y=4	$y = \frac{1}{3} x - 10$ $2 x + y = 4$
173134	Convert to Interval Notation	1/2z+1/3z>=7/12z-1/4	$\frac{1}{2} z + \frac{1}{3} z \geq \frac{7}{12} z - \frac{1}{4}$
173135	Solve for x	20-6+4x=2-2x	$20 - 6 + 4 x = 2 - 2 x$
173136	Graph	f(x)=-2/3\|x+4\|-6	$f (x) = - \frac{2}{3} \| x + 4 \| - 6$
173137	Solve for x	10=5e^x	$10 = 5 e^{x}$
173138	Find the Roots (Zeros)	F(x)=((x+3)(x-1))/((x-2)(x+2))	$F (x) = \frac{(x + 3) (x - 1)}{(x - 2) (x + 2)}$
173139	Solve for x	1/(x-2)=(2x+1)/(x^2+2x-8)+2/(x+4)	$\frac{1}{x - 2} = \frac{2 x + 1}{x^{2} + 2 x - 8} + \frac{2}{x + 4}$
173140	Simplify	((3m^4t^5)^2)/(2t^7)	$\frac{{(3 m^{4} t^{5})}^{2}}{2 t^{7}}$
173141	Solve the System of Equations	5x-4y+2z=21 -x-5y+6z=-24 -x-4y+5z=-21	$5 x - 4 y + 2 z = 21$ $- x - 5 y + 6 z = - 24$ $- x - 4 y + 5 z = - 21$
173142	Solve the Inequality for n	6<=n+15	$6 \leq n + 15$
173143	Solve for x	x^2-3/5x=60	$x^{2} - \frac{3}{5} x = 60$
173144	Simplify	-3/4(5p-12)+2(8-1/4p)	$- \frac{3}{4} (5 p - 12) + 2 (8 - \frac{1}{4} p)$
173145	Solve for t	6000^(0.04t)=12000	$6000^{0.04 t} = 12000$
173146	Factor	5x^2-25x-30y+6xy	$5 x^{2} - 25 x - 30 y + 6 x y$
173147	Evaluate	4*2^-4+5	$4 \cdot 2^{- 4} + 5$
173148	Find the Vertex Form	2y-4x+x^2+y^2=3	$2 y - 4 x + x^{2} + y^{2} = 3$
173149	Solve for x	5x-2(x+1)=1/4	$5 x - 2 (x + 1) = \frac{1}{4}$
173150	Simplify	square root of 4+ square root of -100- square root of 9- square root of -81	$\sqrt{4} + \sqrt{- 100} - \sqrt{9} - \sqrt{- 81}$
173151	Describe the Transformation	f(x)	$f (x)$
173152	Simplify	762h*d	$7 \cdot 6 \cdot 2 h \cdot d$
173153	Evaluate	f(x)=(2/3)^0	$f (x) = {(\frac{2}{3})}^{0}$
173154	Write in Standard Form	4x^2=2x+6	$4 x^{2} = 2 x + 6$
173155	Solve for w	w/3+2/5=1/15	$\frac{w}{3} + \frac{2}{5} = \frac{1}{15}$
173156	Simplify	5(7+6s-9t)	$5 (7 + 6 s - 9 t)$
173157	Graph	y>=1 y-x>0	$y \geq 1$ $y - x > 0$
173158	Simplify	f(x+1)	$f (x + 1)$
173159	Solve the System of Inequalities	-x-8>=-18 and -20<=-x-8	$- x - 8 \geq - 18$ and $- 20 \leq - x - 8$
173160	Solve the Inequality for x	29>4x+1>=-31	$29 > 4 x + 1 \geq - 31$
173161	Solve for x	8x^2-32x^(4/3)=0	$8 x^{2} - 32 x^{\frac{4}{3}} = 0$
173162	Solve for t	t-3/5=4/5	$t - \frac{3}{5} = \frac{4}{5}$
173163	Find All Complex Solutions	2cos(theta)^2+ square root of 3cos(theta)=0	$2 \cos^{2} (θ) + \sqrt{3} \cos (θ) = 0$
173164	Solve the Inequality for n	n-3>=-5	$n - 3 \geq - 5$
173165	Solve the Inequality for y	7y-3<=10y+9	$7 y - 3 \leq 10 y + 9$
173166	Find the Domain and Range	y=-x^2-4x	$y = - x^{2} - 4 x$
173167	Graph	P(x)=(x^2+1)/(x+1)	$P (x) = \frac{x^{2} + 1}{x + 1}$
173168	Solve for x	S=1/3(x+b)a	$S = \frac{1}{3} (x + b) a$
173169	Find the Inverse	f(x)=5x^(1/5)	$f (x) = 5 x^{\frac{1}{5}}$
173170	Solve for x	x=-x^2	$x = - x^{2}$
173171	Solve the Inequality for x	\|x-10\|>=1	$\| x - 10 \| \geq 1$
173172	Solve for x	4x-3+5=2x+7-8x	$4 x - 3 + 5 = 2 x + 7 - 8 x$
173173	Solve for a	((x^(1/3))^2)/( cube root of x^2)=x^a	$\frac{{(x^{\frac{1}{3}})}^{2}}{\sqrt[3]{x^{2}}} = x^{a}$
173174	Solve the Inequality for n	-2n<30	$- 2 n < 30$
173175	Factor	(a+x)^2-(x+2)^2	${(a + x)}^{2} - {(x + 2)}^{2}$
173176	Find the x and y Intercepts	F(x)=9x^2-16	$F (x) = 9 x^{2} - 16$
173177	Find the Exact Value	square root of 400	$\sqrt{400}$
173178	Solve for w	3w-(7w+12)=2(w-3)	$3 w - (7 w + 12) = 2 (w - 3)$
173179	Evaluate	arcsec(-2/( square root of 3))	$arcsec (- \frac{2}{\sqrt{3}})$
173180	Solve for x	x^4-64=0	$x^{4} - 64 = 0$
173181	Solve for x	-5\|x-4\|>-20	$- 5 \| x - 4 \| > - 20$
173182	Simplify	( square root of 50x^3)÷( square root of 32x^2)	$\sqrt{50 x^{3}} \div \sqrt{32 x^{2}}$
173183	Find the x and y Intercepts	f(x)=x/(x^2+5x)	$f (x) = \frac{x}{x^{2} + 5 x}$
173184	Simplify	(csc(x)cos(x))/(cot(x))	$\frac{\csc (x) \cos (x)}{\cot (x)}$
173185	Simplify	((3-13)^2+14)/(4^2-5*2)	$\frac{{(3 - 13)}^{2} + 14}{4^{2} - 5 \cdot 2}$
173186	Solve for x	8x+10-2x=4(x-5)	$8 x + 10 - 2 x = 4 (x - 5)$
173187	Simplify	(5 square root of -1)(-5 square root of 16)	$(5 \sqrt{- 1}) (- 5 \sqrt{16})$
173188	Graph	h(x)=f(x-1/2)	$h (x) = f (x - \frac{1}{2})$
173189	Solve for T	T=50+(N-40)/4	$T = 50 + \frac{N - 40}{4}$
173190	Find the Equation of the Circle	Center (0,0) , r=4	Center $(0, 0)$ , $r = 4$
173191	Solve by Addition/Elimination	-24-8x=12y 1+5/9y=-7/18x	$- 24 - 8 x = 12 y$ $1 + \frac{5}{9} y = - \frac{7}{18} x$
173192	Find f(g(x))	f(x)=2x+3 g(x)=(x-3)/2	$f (x) = 2 x + 3$ $g (x) = \frac{x - 3}{2}$
173193	Solve for s	0.7(3s+4)-1.1s=7.9	$0.7 (3 s + 4) - 1.1 s = 7.9$
173194	Solve the Inequality for z	z/3<=3	$\frac{z}{3} \leq 3$
173195	Find the x and y Intercepts	r(x)=(x^2+4x-5)/(x^2+x-2)	$r (x) = \frac{x^{2} + 4 x - 5}{x^{2} + x - 2}$
173196	Solve for s	V=s^2h	$V = s^{2} h$
173197	Simplify	((x^2+10x+24)/(3x^2+3x))÷(x+6)	$\frac{x^{2} + 10 x + 24}{3 x^{2} + 3 x} \div (x + 6)$
173198	Solve for x	3/8(2x+16)-2=13	$\frac{3}{8} (2 x + 16) - 2 = 13$
173199	Solve for n	6/4=3/(n-5)	$\frac{6}{4} = \frac{3}{n - 5}$
173200	Solve for x	1/4(2(x-1)+10)=x	$\frac{1}{4} (2 (x - 1) + 10) = x$