Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180101	Find the Holes in the Graph	f(x)=(2x+8)/(x^2+6x+8)	$f (x) = \frac{2 x + 8}{x^{2} + 6 x + 8}$
180102	Simplify	( square root of x^3)	$(\sqrt{x^{3}})$
180103	Solve for x	square root of x^2-x-2=x-2	$\sqrt{x^{2} - x - 2} = x - 2$
180104	Solve the Inequality for x	x/(x-5)>0	$\frac{x}{x - 5} > 0$
180105	Write Using Positive Exponents	(36x^-4y^2z^0)/(5x^2y^-3z^-2)	$\frac{36 x^{- 4} y^{2} z^{0}}{5 x^{2} y^{- 3} z^{- 2}}$
180106	Solve the Inequality for p	20-2p>-2(p+2)+4p	$20 - 2 p > - 2 (p + 2) + 4 p$
180107	Evaluate	\|x\|=4	$\| x \| = 4$
180108	Solve the System of Equations	x-2y=11 x+5y=-17	$x - 2 y = 11$ $x + 5 y = - 17$
180109	Solve the Inequality for x	x^2-16x+55>0	$x^{2} - 16 x + 55 > 0$
180110	Solve for x	5x^2=-30x-65	$5 x^{2} = - 30 x - 65$
180111	Graph	x^2<=-4x	$x^{2} \leq - 4 x$
180112	Solve the Inequality for b	-4b-5>-25	$- 4 b - 5 > - 25$
180113	Simplify	(-15xz-4xy)+(20xy-9yz-16xz)	$(- 15 x z - 4 x y) + (20 x y - 9 y z - 16 x z)$
180114	Graph	y>-x+2 y<1/2x-4	$y > - x + 2$ $y < \frac{1}{2} x - 4$
180115	Evaluate the Function	f(0)=5	$f (0) = 5$
180116	Find the Holes in the Graph	f(x)=x/(x+3)	$f (x) = \frac{x}{x + 3}$
180117	Convert to a Decimal	-300deg	$- 300$ degrees
180118	Find the Function	f(x)=x-9	$f (x) = x - 9$
180119	Multiply	(1/2x-3)(x+4/3)	$(\frac{1}{2} x - 3) (x + \frac{4}{3})$
180120	Solve for Q	E=(kQ)/(r^2)	$E = \frac{k Q}{r^{2}}$
180121	Evaluate	-2(1/4)	$- 2 (\frac{1}{4})$
180122	Find the Product	(a+3)(a-3)	$(a + 3) (a - 3)$
180123	Evaluate	(-14+3/2b)-(1+8/2b)	$(- 14 + \frac{3}{2} b) - (1 + \frac{8}{2} b)$
180124	Solve the System of Equations	3x+4y=14 x+2y=-2	$3 x + 4 y = 14$ $x + 2 y = - 2$
180125	Solve the System of Equations	2x-5y=-24 5y=2x	$2 x - 5 y = - 24$ $5 y = 2 x$
180126	Evaluate	1/4pi	$\frac{1}{4} π$
180127	Find the Holes in the Graph	(x-4)/(x^2-16)	$\frac{x - 4}{x^{2} - 16}$
180128	Write in Standard Form	-4x^2-13-2x=4x-2x^2	$- 4 x^{2} - 13 - 2 x = 4 x - 2 x^{2}$
180129	Simplify	(16^2)^(1/4)	${(16^{2})}^{\frac{1}{4}}$
180130	Simplify	10 square root of -81/25	$10 \sqrt{\frac{- 81}{25}}$
180131	Solve by Addition/Elimination	14x+7y=-7 y=-2x-1	$14 x + 7 y = - 7$ $y = - 2 x - 1$
180132	Find All Complex Solutions	1/2(x+12)=4x-1	$\frac{1}{2} (x + 12) = 4 x - 1$
180133	Solve the Inequality for x	6(2/3x-4)+4>5x-12	$6 (\frac{2}{3} x - 4) + 4 > 5 x - 12$
180134	Simplify	-5+(-2)	$- 5 + (- 2)$
180135	Find the Holes in the Graph	f(x)=(-3x^2+15x)/(x^2-7x+10)	$f (x) = \frac{- 3 x^{2} + 15 x}{x^{2} - 7 x + 10}$
180136	Find the Midpoint	(8,10) and (5,2)	$(8, 10)$ and $(5, 2)$
180137	Simplify	(1/(3x^2-3))/(5/(x+1)-(x+4)/(x^2-3x-4))	$\frac{\frac{1}{3 x^{2} - 3}}{\frac{5}{x + 1} - \frac{x + 4}{x^{2} - 3 x - 4}}$
180138	Simplify	(4x^2-40x+64)/(x^3-6x^2)*(x^2-9x+18)/(x^2-5x+6)	$\frac{4 x^{2} - 40 x + 64}{x^{3} - 6 x^{2}} \cdot \frac{x^{2} - 9 x + 18}{x^{2} - 5 x + 6}$
180139	Simplify	((x^2y^-2w)^-2)/((x^-2yw^3)^-1)	$\frac{{(x^{2} y^{- 2} w)}^{- 2}}{{(x^{- 2} y w^{3})}^{- 1}}$
180140	Subtract	4/6-1/2	$\frac{4}{6} - \frac{1}{2}$
180141	Evaluate	2+63^2+910	$2 + 6 \cdot 3^{2} + 9 \cdot 10$
180142	Solve for x	6(3x+1)-30=3(2x-4)	$6 (3 x + 1) - 30 = 3 (2 x - 4)$
180143	Simplify	y^-8y^3x^0x^-2	$y^{- 8} y^{3} x^{0} x^{- 2}$
180144	Solve the Absolute Value Inequality for x	\|2x-1\|=11	$\| 2 x - 1 \| = 11$
180145	Factor	2xy^2+8y	$2 x y^{2} + 8 y$
180146	Evaluate	49/760/(25)	$\frac{49}{7} \cdot \frac{60}{2 \times 5}$
180147	Simplify	13- square root of -81	$13 - \sqrt{- 81}$
180148	Solve for x	(x-2)/(x-3)=8/x	$\frac{x - 2}{x - 3} = \frac{8}{x}$
180149	Graph Using a Table of Values	f(x)=tan(x)	$f (x) = \tan (x)$
180150	Expand the Logarithmic Expression	log of ( cube root of z^4y^4)/(x^2)	$\log (\frac{\sqrt[3]{z^{4}} y^{4}}{x^{2}})$
180151	Solve for x	6(x+5)=3x	$6 (x + 5) = 3 x$
180152	Solve for x	1/(x+6)+2/(x+3)=-3/(x^2+9x+18)	$\frac{1}{x + 6} + \frac{2}{x + 3} = \frac{- 3}{x^{2} + 9 x + 18}$
180153	Solve for x	3(3x+4)^2+18=27	$3 {(3 x + 4)}^{2} + 18 = 27$
180154	Write Using Negative Exponents	1/(x^2)	$\frac{1}{x^{2}}$
180155	Solve for x	3/(x+2)-(x+3)/(2-x)=5/(x-2)	$\frac{3}{x + 2} - \frac{x + 3}{2 - x} = \frac{5}{x - 2}$
180156	Solve for x	5(x+1)-8=5x(2-4)	$5 (x + 1) - 8 = 5 x (2 - 4)$
180157	Solve for x	b/ax=d/c+1	$\frac{b}{a} x = \frac{d}{c} + 1$
180158	Solve the Absolute Value Inequality for n	5n-3=\|n+9\|	$5 n - 3 = \| n + 9 \|$
180159	Simplify the Radical Expression	fourth root of 81x^4	$\sqrt[4]{81 x^{4}}$
180160	Solve for y	x=4/7(y+z)	$x = \frac{4}{7} (y + z)$
180161	Solve for x	(\|x-2\|)/(x-2)=1	$\frac{\| x - 2 \|}{x - 2} = 1$
180162	Find the Product	(5^2)(5^8)	$(5^{2}) (5^{8})$
180163	Divide	(3/2)÷1	$\frac{3}{2} \div 1$
180164	Convert to Radical Form	-16^(2/3)	$- 16^{\frac{2}{3}}$
180165	Solve the Rational Equation for x	x/3+1/4=x/2	$\frac{x}{3} + \frac{1}{4} = \frac{x}{2}$
180166	Simplify	(5x^3+y^4)^2	${(5 x^{3} + y^{4})}^{2}$
180167	Factor	x^3+216x^3y^3	$x^{3} + 216 x^{3} y^{3}$
180168	Find the x and y Intercepts	f(x)=-2x(x+4)	$f (x) = - 2 x (x + 4)$
180169	Find the Exact Value	log base 16 of 4	$\log_{16} (4)$
180170	Find the Holes in the Graph	h(x)=(x+3)/(x(x-5))	$h (x) = \frac{x + 3}{x (x - 5)}$
180171	Find the Midpoint	(-2,7) and (-10,-1)	$(- 2, 7)$ and $(- 10, - 1)$
180172	Solve for x	3x=3x	$3 x = 3 x$
180173	Evaluate	3x=12	$3 x = 12$
180174	Divide Using Synthetic Division	(3x^3+x-11)/(x+1)	$\frac{3 x^{3} + x - 11}{x + 1}$
180175	Solve for x	403=4110(0.895)^(2x-2)-297	$403 = 4110 {(0.895)}^{2 x - 2} - 297$
180176	Evaluate	1/2(2/3e-3+2e)=-4(1/8e+1-e)	$\frac{1}{2} (\frac{2}{3} e - 3 + 2 e) = - 4 (\frac{1}{8} e + 1 - e)$
180177	Solve for x	0=x^2+2x+1	$0 = x^{2} + 2 x + 1$
180178	Solve for x	1/(x-3)+1/(x+3)=6/(x^2-9)	$\frac{1}{x - 3} + \frac{1}{x + 3} = \frac{6}{x^{2} - 9}$
180179	Simplify	8/(3- square root of 5)	$\frac{8}{3 - \sqrt{5}}$
180180	Solve the Inequality for x	3^(x-4)<1/27	$3^{x - 4} < \frac{1}{27}$
180181	Convert to a Decimal	sin(150)deg	$\sin (150)$ degrees
180182	Solve the System of Equations	-x+2y-3z=1 x-y-z=2 -3x+4y-z=-3	$- x + 2 y - 3 z = 1$ $x - y - z = 2$ $- 3 x + 4 y - z = - 3$
180183	Solve for x	2/3(9x-6)=4x+10	$\frac{2}{3} (9 x - 6) = 4 x + 10$
180184	Find the Midpoint	(6,3) and (0,9)	$(6, 3)$ and $(0, 9)$
180185	Solve the Inequality for x	\|3x-2\|>=5	$\| 3 x - 2 \| \geq 5$
180186	Simplify	(15x^6y^-9)/(5xy^-11)	$\frac{15 x^{6} y^{- 9}}{5 x y^{- 11}}$
180187	Evaluate	\|x-1\|+5=2	$\| x - 1 \| + 5 = 2$
180188	Simplify the Radical Expression	square root of 28x^3y^3	$\sqrt{28 x^{3} y^{3}}$
180189	Find the Expanded Form	(x-0.1)^2+(2.2-y)^2=25	${(x - 0.1)}^{2} + {(2.2 - y)}^{2} = 25$
180190	Evaluate	x^2+y^2=4	$x^{2} + y^{2} = 4$
180191	Simplify	(x-4/x)/((x+5)/6+1/x)	$\frac{x - \frac{4}{x}}{\frac{x + 5}{6} + \frac{1}{x}}$
180192	Solve Using the Quadratic Formula	x/(x+3)+5/(x+4)=0	$\frac{x}{x + 3} + \frac{5}{x + 4} = 0$
180193	Factor	49x^3-xy^2	$49 x^{3} - x y^{2}$
180194	Graph	y>=-2x-1 y>=x+2	$y \geq - 2 x - 1$ $y \geq x + 2$
180195	Solve the System of Inequalities	2x<=-8 or 3x+1>13	$2 x \leq - 8$ or $3 x + 1 > 13$
180196	Expand the Logarithmic Expression	log of (y cube root of z)/x	$\log (\frac{y \sqrt[3]{z}}{x})$
180197	Evaluate	(1 1/8+1/8)-5/4	$(1 \frac{1}{8} + \frac{1}{8}) - \frac{5}{4}$
180198	Simplify	((x^3y^n)/(z^(m+1)))^k	${(\frac{x^{3} y^{n}}{z^{m + 1}})}^{k}$
180199	Find the x and y Intercepts	y=x(x-4)	$y = x (x - 4)$
180200	Convert to a Decimal	285deg	$285$ degrees