Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183001	Find the Roots (Zeros)	3x^4-16x^2-12=0	$3 x^{4} - 16 x^{2} - 12 = 0$
183002	Solve for Z	W=xYZ for Z	$W = x Y Z$ for $Z$
183003	Solve the Absolute Value Inequality for x	\|2x-5\|<3	$\| 2 x - 5 \| < 3$
183004	Combine Like Terms	3x+3(x+y)	$3 x + 3 (x + y)$
183005	Simplify	( cube root of 125)^2	${(\sqrt[3]{125})}^{2}$
183006	Simplify	(2x^2-50)/(x-5)*(x+4)/(x^4+9x^3+20x^2)	$\frac{2 x^{2} - 50}{x - 5} \cdot \frac{x + 4}{x^{4} + 9 x^{3} + 20 x^{2}}$
183007	Find the Domain and Range	y=-\|x+1\|+3	$y = - \| x + 1 \| + 3$
183008	Graph	g(x)=-1/2 square root of x	$g (x) = - \frac{1}{2} \sqrt{x}$
183009	Solve for w	\|8w+5\|=21	$\| 8 w + 5 \| = 21$
183010	Convert to Scientific Notation	(6.4810^5)/((2.410^4)(1.8*10^-2))	$\frac{6.48 \times 10^{5}}{(2.4 \times 10^{4}) (1.8 \times 10^{- 2})}$
183011	Find the Product	7/(8-2a)*(4-a)/2	$\frac{7}{8 - 2 a} \cdot \frac{4 - a}{2}$
183012	Simplify	4z-9z^3+4+7(-3z^2+6)	$4 z - 9 z^{3} + 4 + 7 (- 3 z^{2} + 6)$
183013	Simplify	(x^2+10x)/(x(x+10)^2)*((x+10)^2)/(x^2+19x+90)	$\frac{x^{2} + 10 x}{x {(x + 10)}^{2}} \cdot \frac{{(x + 10)}^{2}}{x^{2} + 19 x + 90}$
183014	Simplify the Radical Expression	fourth root of 48	$\sqrt[4]{48}$
183015	Solve the Inequality for x	(x+5)/((x-3)^2(x-4))<=0	$\frac{x + 5}{{(x - 3)}^{2} (x - 4)} \leq 0$
183016	Simplify	3/4 square root of -80	$\frac{3}{4} \sqrt{- 80}$
183017	Evaluate	1/2(1)+2	$\frac{1}{2} (1) + 2$
183018	Evaluate	4/3pi12^3	$\frac{4}{3} \cdot π \cdot 12^{3}$
183019	Evaluate	(4-x^2)^2	${(4 - x^{2})}^{2}$
183020	Solve for x	(\|4x-2\|)/6=7	$\frac{\| 4 x - 2 \|}{6} = 7$
183021	Solve for x	1/5x-2/3*15=30	$\frac{1}{5} x - \frac{2}{3} \cdot 15 = 30$
183022	Solve for h	7=bh	$7 = b h$
183023	Solve the Inequality for x	x^2-4x<12	$x^{2} - 4 x < 12$
183024	Solve for y	3 square root of y-18=-3	$3 \sqrt{y} - 18 = - 3$
183025	Find the Standard Form of the Parabola	x^2-6x+8y=23	$x^{2} - 6 x + 8 y = 23$
183026	Expand the Logarithmic Expression	log of (x^2 square root of y^5)/z	$\log (\frac{x^{2} \sqrt{y^{5}}}{z})$
183027	Solve for x	1-9/(x+2)=-2x	$1 - \frac{9}{x + 2} = - 2 x$
183028	Find the Exact Value	log base 3 of square root of 27+ log base 3 of 81	$\log_{3} (\sqrt{27}) + \log_{3} (81)$
183029	Solve for x	x/15=3/(5x)	$\frac{x}{15} = \frac{3}{5 x}$
183030	Solve the Inequality for y	-2y>2	$- 2 y > 2$
183031	Solve the Inequality for x	2+3x<=8-x	$2 + 3 x \leq 8 - x$
183032	Find q(r(x))	q(x)=x^2+6 r(x) = square root of x+1	$q (x) = x^{2} + 6$ $r (x) = \sqrt{x + 1}$
183033	Find the Distance Between Two Points	(5,-4) and (0,8)	$(5, - 4)$ and $(0, 8)$
183034	Solve Using the Quadratic Formula	2x^2+x	$2 x^{2} + x$
183035	Solve the Inequality for x	2x(2x-1)-5x<4x^2-x	$2 x (2 x - 1) - 5 x < 4 x^{2} - x$
183036	Write the Fraction in Simplest Form	(12a^2-21a)/(12a^2-28a)	$\frac{12 a^{2} - 21 a}{12 a^{2} - 28 a}$
183037	Find the x and y Intercepts	f(x)=-2(4x^2+4)(x-5)(x+1)	$f (x) = - 2 (4 x^{2} + 4) (x - 5) (x + 1)$
183038	Solve for w	(2w+7)/6+(5w+2)/2=5	$\frac{2 w + 7}{6} + \frac{5 w + 2}{2} = 5$
183039	Write in Standard Form	2 square root of 6	$2 \sqrt{6}$
183040	Solve the Inequality for x	-3(x+1)>=-6	$- 3 (x + 1) \geq - 6$
183041	Multiply	((2n)/(6n+4))((3n+2)/(3n-2))	$(\frac{2 n}{6 n + 4}) (\frac{3 n + 2}{3 n - 2})$
183042	Solve the Inequality for x	3/(2-x)<=1/(x+4)	$\frac{3}{2 - x} \leq \frac{1}{x + 4}$
183043	Simplify	y^3 square root of 36x^4y^5	$y^{3} \sqrt{36 x^{4} y^{5}}$
183044	Solve for x	2 natural log of e^( natural log of 5x)=2 natural log of 15	$2 \ln (e^{\ln (5 x)}) = 2 \ln (15)$ ?
183045	Solve for x	-3x^5-16x^4-20x^3=0	$- 3 x^{5} - 16 x^{4} - 20 x^{3} = 0$
183046	Graph	y=1+1/x+1/(x^2)	$y = 1 + \frac{1}{x} + \frac{1}{x^{2}}$
183047	Evaluate	square root of (1/2)^2+(( square root of 3)/2)^2	$\sqrt{{(\frac{1}{2})}^{2} + {(\frac{\sqrt{3}}{2})}^{2}}$
183048	Simplify	((4x^3y)(2x^4y^2))/(2x^3y)	$\frac{(4 x^{3} y) (2 x^{4} y^{2})}{2 x^{3} y}$
183049	Solve the System of Inequalities	4x+1>9 and -6x-2>10	$4 x + 1 > 9$ and $- 6 x - 2 > 10$
183050	Solve for x	2^x+2^(-x)=2	$2^{x} + 2^{- x} = 2$
183051	Find the Slope and y-intercept	4y=2	$4 y = 2$
183052	Solve for x	-5-9x=3(1-3x)-8	$- 5 - 9 x = 3 (1 - 3 x) - 8$
183053	Simplify	(6x^2-384)/(2x^2-36x+160)*(x-10)/(x^2+12x+32)	$\frac{6 x^{2} - 384}{2 x^{2} - 36 x + 160} \cdot \frac{x - 10}{x^{2} + 12 x + 32}$
183054	Graph	f(x)=(-x)^(1/3)	$f (x) = {(- x)}^{\frac{1}{3}}$
183055	Simplify	3 square root of 18w^7*10 square root of 4w^9	$3 \sqrt{18 w^{7}} \cdot 10 \sqrt{4 w^{9}}$
183056	Solve the Inequality for x	2x<-3x+15	$2 x < - 3 x + 15$
183057	Evaluate	(-12)÷((-3+16÷8)^3)+2	$(- 12) \div {(- 3 + 16 \div 8)}^{3} + 2$
183058	Find the Roots (Zeros)	4x^2+77=-36x	$4 x^{2} + 77 = - 36 x$
183059	Solve the Inequality for x	8/(x+4)>=1/(x+4)	$\frac{8}{x + 4} \geq \frac{1}{x + 4}$
183060	Solve Using the Quadratic Formula	3/x+5/(x+4)=1	$\frac{3}{x} + \frac{5}{x + 4} = 1$
183061	Find the Roots (Zeros)	(x-5)^3(x-4)=0	${(x - 5)}^{3} (x - 4) = 0$
183062	Evaluate	(x^2+9)^2+9	${(x^{2} + 9)}^{2} + 9$
183063	Find the Product	(y^2-3y)(y^2+3y)	$(y^{2} - 3 y) (y^{2} + 3 y)$
183064	Factor	1/25+25/36b^4-(b^2)/3	$\frac{1}{25} + \frac{25}{36} b^{4} - \frac{b^{2}}{3}$
183065	Graph	p(x)=(x+3)(x+1)^2(2x-1)	$p (x) = (x + 3) {(x + 1)}^{2} (2 x - 1)$
183066	Evaluate	g^-1(3)	$g^{- 1} (3)$
183067	Find g(f(x))	f(x)=x-4 and g(x)=5x^2-2	$f (x) = x - 4$ and $g (x) = 5 x^{2} - 2$
183068	Solve the System of Equations	2x+y+2z=-2 -2x+2y-z=-5 4x+y+2z=0	$2 x + y + 2 z = - 2$ $- 2 x + 2 y - z = - 5$ $4 x + y + 2 z = 0$
183069	Factor by Grouping	4x^2-64	$4 x^{2} - 64$
183070	Graph	y=cot(x-(2pi)/3)	$y = \cot (x - \frac{2 π}{3})$
183071	Solve for x	6(-6+x)=76-2x	$6 (- 6 + x) = 76 - 2 x$
183072	Write in Standard Form	f(x)=(x+3)(x+7)	$f (x) = (x + 3) (x + 7)$
183073	Solve the Inequality for v	v+1>v-6	$v + 1 > v - 6$
183074	Solve for x	x=x/b+a	$x = \frac{x}{b} + a$
183075	Find the Function	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
183076	Simplify	(3i)/(-2+i)	$\frac{3 i}{- 2 + i}$
183077	Find the Exact Value	(-8+ square root of -12)/40	$\frac{- 8 + \sqrt{- 12}}{40}$
183078	Solve for y	15y+32=2(10y-7)-5y+46	$15 y + 32 = 2 (10 y - 7) - 5 y + 46$
183079	Graph	F(x)=x/((x+4)(x-1))	$F (x) = \frac{x}{(x + 4) (x - 1)}$
183080	Find the Holes in the Graph	(-3x+3)/(x^2-6x+5)	$\frac{- 3 x + 3}{x^{2} - 6 x + 5}$
183081	Divide	x^4+7 by x-3	$x^{4} + 7$ by $x - 3$
183082	Solve for a	-3(2x^2+ax+b)=-6x^2+12x-15	$- 3 (2 x^{2} + a x + b) = - 6 x^{2} + 12 x - 15$
183083	Find the Complex Conjugate	square root of -15	$\sqrt{- 15}$
183084	Graph	f(x)=x/(-2x^2+4x)	$f (x) = \frac{x}{- 2 x^{2} + 4 x}$
183085	Solve the Inequality for x	8(x+1)>7(x+2)	$8 (x + 1) > 7 (x + 2)$
183086	Solve the Absolute Value Inequality for v	5+\|3v\|>20	$5 + \| 3 v \| > 20$
183087	Write in Standard Form	x+7=0	$x + 7 = 0$
183088	Solve the Inequality for x	x-3>3(x-1)	$x - 3 > 3 (x - 1)$
183089	Divide Using Long Polynomial Division	(x^3+x^2+x-3)÷(x-1)	$(x^{3} + x^{2} + x - 3) \div (x - 1)$
183090	Find g(f(x))	f(x)=2x-2 and g(x)=6x^2-3	$f (x) = 2 x - 2$ and $g (x) = 6 x^{2} - 3$
183091	Find the Slope and y-intercept	4x-1=3y+5	$4 x - 1 = 3 y + 5$
183092	Find All Complex Solutions	2cos(theta)+3=2	$2 \cos (θ) + 3 = 2$
183093	Solve for a	(x^(5/2))/(x^(1/6))=x^a	$\frac{x^{\frac{5}{2}}}{x^{\frac{1}{6}}} = x^{a}$
183094	Graph	y>=3/2x-5 y<=-x+5	$y \geq \frac{3}{2} x - 5$ $y \leq - x + 5$
183095	Graph	(x^2)/(x^2+x-6)	$\frac{x^{2}}{x^{2} + x - 6}$
183096	Solve for x	3/(x+7)+x/(x-7)=7/(x-7)	$\frac{3}{x + 7} + \frac{x}{x - 7} = \frac{7}{x - 7}$
183097	Solve for y	z=x/y	$z = \frac{x}{y}$
183098	Solve for x	-2(6+x)=18-3x	$- 2 (6 + x) = 18 - 3 x$
183099	Solve for x	3(x-1)=x+2(x+1)+1	$3 (x - 1) = x + 2 (x + 1) + 1$
183100	Solve for F	C=59(F-32)	$C = 59 (F - 32)$