Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172001	Simplify	(4x^3-7x^2-8)+(8x^3-5x^2-3)	$(4 x^{3} - 7 x^{2} - 8) + (8 x^{3} - 5 x^{2} - 3)$
172002	Solve for d	7(d+3)-10=12d-5d+11	$7 (d + 3) - 10 = 12 d - 5 d + 11$
172003	Graph	18<=3(b-4)	$18 \leq 3 (b - 4)$
172004	Simplify	(9x^3)^2(x^8)^(1/2)	${(9 x^{3})}^{2} {(x^{8})}^{\frac{1}{2}}$
172005	Solve for f	1/5f-2/3=-1/5f+2/3	$\frac{1}{5} f - \frac{2}{3} = - \frac{1}{5} f + \frac{2}{3}$
172006	Find the Exact Value	cos(arctan(( square root of 3)/3))	$\cos (\arctan (\frac{\sqrt{3}}{3}))$
172007	Factor	2x^2+2y^2-5x-4y+5xy+2	$2 x^{2} + 2 y^{2} - 5 x - 4 y + 5 x y + 2$
172008	Graph	3y>3x+9	$3 y > 3 x + 9$
172009	Divide	(-2x)÷x	$- 2 x \div x$
172010	Solve the System of Inequalities	4x-9<=3 or 4x-9<27	$4 x - 9 \leq 3$ or $4 x - 9 < 27$
172011	Simplify	- cube root of (81y^2)/(1000x^3)	$- \sqrt[3]{\frac{81 y^{2}}{1000 x^{3}}}$
172012	Simplify	cube root of 5^4* fifth root of 5	$\sqrt[3]{5^{4}} \cdot \sqrt[5]{5}$
172013	Graph	y<=5-4x	$y \leq 5 - 4 x$
172014	Solve the Inequality for x	6x^2+1<=0	$6 x^{2} + 1 \leq 0$
172015	Solve by Substitution	-8x-7y=-5 -x=y	$- 8 x - 7 y = - 5$ $- x = y$
172016	Evaluate	square root of -x^2	$\sqrt{- x^{2}}$
172017	Solve for m	m=-3/2	$m = \frac{- 3}{2}$
172018	Graph	y>=1-3x	$y \geq 1 - 3 x$
172019	Evaluate Using the Given Value	5c+cd when c=1/5 and d=15	$5 c + c d$ when $c = \frac{1}{5}$ and $d = 15$
172020	Simplify	log base 4 of 8	$\log_{4} (8)$
172021	Simplify	(-2x^3)/(5x+8)-(-3x^3)/(5x+8)	$\frac{- 2 x^{3}}{5 x + 8} - \frac{- 3 x^{3}}{5 x + 8}$
172022	Find the Discriminant	x^2-6x=2x^2+6x	$x^{2} - 6 x = 2 x^{2} + 6 x$
172023	Evaluate	( square root of x)^3	${(\sqrt{x})}^{3}$
172024	Simplify	( square root of -100)( square root of 5)	$(\sqrt{- 100}) (\sqrt{5})$
172025	Factor	245m^2n-210mn^2+45n^3	$245 m^{2} n - 210 m n^{2} + 45 n^{3}$
172026	Graph	x+y=3 x-y=1	$x + y = 3$ $x - y = 1$
172027	Convert to Grams	325mg	$325 mg$
172028	Solve for x	405=5(9x)^(4/3)	$405 = 5 {(9 x)}^{\frac{4}{3}}$
172029	Find the Holes in the Graph	f(x)=(2x^2+9x-18)/(x^2+7x+6)	$f (x) = \frac{2 x^{2} + 9 x - 18}{x^{2} + 7 x + 6}$
172030	Find the Function	f(x)=x^3-x	$f (x) = x^{3} - x$
172031	Simplify the Radical Expression	square root of 36x	$\sqrt{36 x}$
172032	Simplify	(-2x^2-2x)/(8x^2-24x-32)	$\frac{- 2 x^{2} - 2 x}{8 x^{2} - 24 x - 32}$
172033	Solve for y	(3y+10)/4=2y	$\frac{3 y + 10}{4} = 2 y$
172034	Solve for w	5(w+1)-w=3(w-1)+7	$5 (w + 1) - w = 3 (w - 1) + 7$
172035	Simplify	(4 square root of 6)/( square root of 30)	$\frac{4 \sqrt{6}}{\sqrt{30}}$
172036	Solve the System of Equations	3x-(y-3)/5=6 3y-(x-2)/7=9	$3 x - \frac{y - 3}{5} = 6$ $3 y - \frac{x - 2}{7} = 9$
172037	Rationalize the Denominator	(8+ square root of 3)/( square root of 6)	$\frac{8 + \sqrt{3}}{\sqrt{6}}$
172038	Solve the System of Equations	y=3x+4 and y=2x+4	$y = 3 x + 4$ and $y = 2 x + 4$
172039	Simplify	(4x)/7-(8x)/3	$\frac{4 x}{7} - \frac{8 x}{3}$
172040	Simplify	((2p^3k^-3)^-5)/(10k^-6)	$\frac{{(2 p^{3} k^{- 3})}^{- 5}}{10 k^{- 6}}$
172041	Solve for x	\|5x+6\|-6=x	$\| 5 x + 6 \| - 6 = x$
172042	Find the Holes in the Graph	f(x)=(x^2+8x-20)/(2x^2+20x)	$f (x) = \frac{x^{2} + 8 x - 20}{2 x^{2} + 20 x}$
172043	Solve for x	x/6-(x-2)/2=(x-13)/9	$\frac{x}{6} - \frac{x - 2}{2} = \frac{x - 13}{9}$
172044	Find the Discriminant	x^2-25x+104=-7x-3	$x^{2} - 25 x + 104 = - 7 x - 3$
172045	Solve the Inequality for x	square root of x-3>5-x	$\sqrt{x - 3} > 5 - x$
172046	Solve for x	x+6/(x-3)=(2x)/(x-3)	$x + \frac{6}{x - 3} = \frac{2 x}{x - 3}$
172047	Graph	y-3x<-x+4	$y - 3 x < - x + 4$
172048	Solve the System of Equations	f(x)=x^2-2x+3 , f(x)=-6x	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 6 x$
172049	Factor	xy-x	$x y - x$
172050	Write in Standard Form	(2+3w)(w^2+6w+9)	$(2 + 3 w) (w^{2} + 6 w + 9)$
172051	Solve the Inequality for h	2h+8>3h-6	$2 h + 8 > 3 h - 6$
172052	Find the Distance Between Two Points	(0,-2) and (3,1)	$(0, - 2)$ and $(3, 1)$
172053	Factor	2a^2b-32a^4b	$2 a^{2} b - 32 a^{4} b$
172054	Simplify	(-5 square root of -3)( square root of 8)	$(- 5 \sqrt{- 3}) (\sqrt{8})$
172055	Simplify	1/4g+6g-2/3	$\frac{1}{4} g + 6 g - \frac{2}{3}$
172056	Solve for x	square root of x+8=2+x	$\sqrt{x + 8} = 2 + x$
172057	Solve for x	x-5(x-4)=2(2x+7)+6	$x - 5 (x - 4) = 2 (2 x + 7) + 6$
172058	Describe the Transformation	y=3f(x)	$y = 3 f (x)$
172059	Solve for b	4(b+5)-9=-7	$4 (b + 5) - 9 = - 7$
172060	Simplify	(1/6)^-3	${(\frac{1}{6})}^{- 3}$
172061	Simplify	(7p-7p)/p*(2p^2)/(8p-8)	$\frac{7 p - 7 p}{p} \cdot \frac{2 p^{2}}{8 p - 8}$
172062	Write in Standard Form	1- square root of -12	$1 - \sqrt{- 12}$
172063	Simplify	7m+2m+5p+4m	$7 m + 2 m + 5 p + 4 m$
172064	Factor	t^12-r^3s^15	$t^{12} - r^{3} s^{15}$
172065	Graph	r>=-\|5\|	$r \geq - \| 5 \|$
172066	Solve for y	w-y=3w-10	$w - y = 3 w - 10$
172067	Evaluate	3/(3/x)	$\frac{3}{\frac{3}{x}}$
172068	Solve the Rational Equation for x	square root of x+6=x-6	$\sqrt{x + 6} = x - 6$
172069	Solve for X	X^2-21=0	$X^{2} - 21 = 0$
172070	Solve for x	5x+2(x+3)=4(2x+3)	$5 x + 2 (x + 3) = 4 (2 x + 3)$
172071	Simplify	(2x^2+6x-4)(2x^2-3x)	$(2 x^{2} + 6 x - 4) (2 x^{2} - 3 x)$
172072	Simplify	10x^2y+2xy^2-4x^2-4x^2y	$10 x^{2} y + 2 x y^{2} - 4 x^{2} - 4 x^{2} y$
172073	Simplify	( square root of 6)(6 square root of -80)	$(\sqrt{6}) (6 \sqrt{- 80})$
172074	Solve for y	16x+9=9y-2x for y	$16 x + 9 = 9 y - 2 x$ for $y$
172075	Simplify	square root of 80- square root of 45+3 square root of 2	$\sqrt{80} - \sqrt{45} + 3 \sqrt{2}$
172076	Solve for L	V=LWH for L	$V = L W H$ for $L$
172077	Simplify	square root of 5/(x^2)* square root of (x^2)/45	$\sqrt{\frac{5}{x^{2}}} \cdot \sqrt{\frac{x^{2}}{45}}$
172078	Solve the Rational Equation for x	1/(x-6)+x/(x-2)=4/(x^2-8x+12)	$\frac{1}{x - 6} + \frac{x}{x - 2} = \frac{4}{x^{2} - 8 x + 12}$
172079	Solve the Inequality for x	-1.5(4x+1)>=4.5-2.5(x+1)	$- 1.5 (4 x + 1) \geq 4.5 - 2.5 (x + 1)$
172080	Solve for x	2x-(5x+3)=7+(3x-2)	$2 x - (5 x + 3) = 7 + (3 x - 2)$
172081	Solve for k	1/5(k-3)=3/4	$\frac{1}{5} (k - 3) = \frac{3}{4}$
172082	Solve for x	kx+9=7 for x	$k x + 9 = 7$ for $x$
172083	Solve for x	5x-(x+1)=5-2x	$5 x - (x + 1) = 5 - 2 x$
172084	Solve for x	natural log of x+31- natural log of 4-3x=5 natural log of 2	$\ln (x + 31) - \ln (4 - 3 x) = 5 \ln (2)$
172085	Factor	3/8d+3/4	$\frac{3}{8} d + \frac{3}{4}$
172086	Solve the Inequality for m	2.1>=m-6.7	$2.1 \geq m - 6.7$
172087	Solve for θ	(tan(theta)-1)(sec(theta)-1)=0	$(\tan (θ) - 1) (\sec (θ) - 1) = 0$
172088	Simplify	1^-3	$1^{- 3}$
172089	Find the Quotient	(x^3-1)÷(x+2)	$(x^{3} - 1) \div (x + 2)$
172090	Simplify	(2-3x-2x^2)+(-2x^3-4x^2-3x-5)	$(2 - 3 x - 2 x^{2}) + (- 2 x^{3} - 4 x^{2} - 3 x - 5)$
172091	Solve for a	\|a/5\|=12	$\| \frac{a}{5} \| = 12$
172092	Solve for y	(y+150)^2=50	${(y + 150)}^{2} = 50$
172093	Solve for b	10=\|b/9\|	$10 = \| \frac{b}{9} \|$
172094	Find the Domain and Range	1- square root of x	$1 - \sqrt{x}$
172095	Solve for x	1/(3x)+(4x)/6=1	$\frac{1}{3 x} + \frac{4 x}{6} = 1$
172096	Factor	x^3y^6+27z^42	$x^{3} y^{6} + 27 z^{42}$
172097	Simplify	(10h^10)/((-5h^5q)^3)	$\frac{10 h^{10}}{{(- 5 h^{5} q)}^{3}}$
172098	Solve for x	\|3x-6\|-\|x+2\|=0	$\| 3 x - 6 \| - \| x + 2 \| = 0$
172099	Convert to Interval Notation	10y-3(y+2)>2y+4	$10 y - 3 (y + 2) > 2 y + 4$
172100	Solve for y	(3y-1)/(2y+4)=4/5	$\frac{3 y - 1}{2 y + 4} = \frac{4}{5}$