Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
167901	Write in Standard Form	2x^2+3x=-13	$2 x^{2} + 3 x = - 13$
167902	Find the LCM	4 and 6	$4$ and $6$
167903	Simplify	2 square root of 30*5 square root of 60	$2 \sqrt{30} \cdot 5 \sqrt{60}$
167904	Solve the Inequality for d	-1/4(d+1)<2	$- \frac{1}{4} (d + 1) < 2$
167905	Solve the Inequality for x	(2x-5)/(x-5)<=3	$\frac{2 x - 5}{x - 5} \leq 3$
167906	Solve for a	12(x-a)(x-b)=12x^2-7x-12	$12 (x - a) (x - b) = 12 x^{2} - 7 x - 12$
167907	Solve the System of Equations	2x-5y=8 5y=-2x+8	$2 x - 5 y = 8$ $5 y = - 2 x + 8$
167908	Factor	x^4+x^3-7x^2-x+6	$x^{4} + x^{3} - 7 x^{2} - x + 6$
167909	Solve for b	3/8-1/8b=3/4b+1/2	$\frac{3}{8} - \frac{1}{8} b = \frac{3}{4} b + \frac{1}{2}$
167910	Find All Complex Solutions	square root of 3csc(theta)-2=0	$\sqrt{3} \csc (θ) - 2 = 0$
167911	Graph	F(x)=x^4-3	$F (x) = x^{4} - 3$
167912	Solve for j	-3/4j-2+1/2j=3/2-j	$- \frac{3}{4} j - 2 + \frac{1}{2} j = \frac{3}{2} - j$
167913	Simplify	(8x^2-44x+60)/(6x^2+18x-108)	$\frac{8 x^{2} - 44 x + 60}{6 x^{2} + 18 x - 108}$
167914	Solve for x	1/6=1/2-1/4x	$\frac{1}{6} = \frac{1}{2} - \frac{1}{4} x$
167915	Solve the Inequality for x	-5<=-5x+5<=50	$- 5 \leq - 5 x + 5 \leq 50$
167916	Solve for x	7(3x-1)-(x+5)=-52	$7 (3 x - 1) - (x + 5) = - 52$
167917	Solve for x	0=4x^2-72x	$0 = 4 x^{2} - 72 x$
167918	Simplify	(4(5/x)+3)/(6(5/x)+2)	$\frac{4 (\frac{5}{x}) + 3}{6 (\frac{5}{x}) + 2}$
167919	Find the Axis of Symmetry	3x^2+y=12	$3 x^{2} + y = 12$
167920	Solve for x	(2x+1)+(x-10)=90	$(2 x + 1) + (x - 10) = 90$
167921	Write in Exponential Form	log base 5x of x=7/2	$\log_{5 x} (x) = \frac{7}{2}$
167922	Simplify	(5x+8)/6+(-8x-3)/6	$\frac{5 x + 8}{6} + \frac{- 8 x - 3}{6}$
167923	Multiply	(1+x)(x^2-5x-6)	$(1 + x) (x^{2} - 5 x - 6)$
167924	Simplify	8/(5-c)-8/(5+c)	$\frac{8}{5 - c} - \frac{8}{5 + c}$
167925	Simplify	(4+3i)/(-10+i)	$\frac{4 + 3 i}{- 10 + i}$
167926	Solve the Inequality for x	x^3-16x<=0	$x^{3} - 16 x \leq 0$
167927	Solve for x	1/3*x=20	$\frac{1}{3} \cdot x = 20$
167928	Solve for θ	4cos(theta)^2=3	$4 \cos^{2} (θ) = 3$
167929	Simplify	(10j^-3)/(-2(j^-3)^3)	$\frac{10 j^{- 3}}{- 2 {(j^{- 3})}^{3}}$
167930	Simplify	(2/5)^-1	${(\frac{2}{5})}^{- 1}$
167931	Graph Using a Table of Values	f(x)=-(2/5)^(-x)	$f (x) = - {(\frac{2}{5})}^{- x}$
167932	Find the Inverse	y=(2x-5)/(3x)	$y = \frac{2 x - 5}{3 x}$
167933	Simplify	(64x^6y^3)^(1/3)	${(64 x^{6} y^{3})}^{\frac{1}{3}}$
167934	Graph	(negative infinity,-1) union (-1,infinity)	$(- \infty, - 1) \cup (- 1, \infty)$
167935	Solve for n	m+1=-2(n+6)	$m + 1 = - 2 (n + 6)$
167936	Simplify	((3d^5x^-2)^-4)/(4d^-6x^10)	$\frac{{(3 d^{5} x^{- 2})}^{- 4}}{4 d^{- 6} x^{10}}$
167937	Solve for d	15=2+4-d	$15 = 2 + 4 - d$
167938	Evaluate	f(-2)=2^-2	$f (- 2) = 2^{- 2}$
167939	Find the Complex Conjugate	12- square root of 5	$12 - \sqrt{5}$
167940	Subtract	4/5-2/8	$\frac{4}{5} - \frac{2}{8}$
167941	Solve for x	-12=3-2x-3x	$- 12 = 3 - 2 x - 3 x$
167942	Simplify	(1/5a^(2k))^6*(125a^2)^2	${(\frac{1}{5} a^{2 k})}^{6} \cdot {(125 a^{2})}^{2}$
167943	Solve for a	x^3 cube root of x=x^a	$x^{3} \sqrt[3]{x} = x^{a}$
167944	Find the Function	f(x)=\|x-2\|	$f (x) = \| x - 2 \|$
167945	Simplify	5a^2-7a^2+3a^2-2a^2	$5 a^{2} - 7 a^{2} + 3 a^{2} - 2 a^{2}$
167946	Solve the System of Equations	x-6y=-35 -7x-6y=-43	$x - 6 y = - 35$ $- 7 x - 6 y = - 43$
167947	Factor	y=x^2-6x+8	$y = x^{2} - 6 x + 8$
167948	Solve for C	D=ABC for C	$D = A B C$ for $C$
167949	Graph	f(x)=3x(x+1)(x-4)^2	$f (x) = 3 x (x + 1) {(x - 4)}^{2}$
167950	Solve for x	64^(x-6)*4^(9x-3)=64^(6x+4)	$64^{x - 6} \cdot 4^{9 x - 3} = 64^{6 x + 4}$
167951	Find the Holes in the Graph	h(x)=x/(x(x-7))	$h (x) = \frac{x}{x (x - 7)}$
167952	Write in Standard Form	y=-(7x)/9+5	$y = - \frac{7 x}{9} + 5$
167953	Simplify the Radical Expression	square root of x^(3/4)x^-1	$\sqrt{x^{\frac{3}{4}} x^{- 1}}$
167954	Solve for a	a(2x+3)=9x+15+x	$a (2 x + 3) = 9 x + 15 + x$
167955	Graph	g(x)=2/3(x)(x-6)	$g (x) = \frac{2}{3} (x) (x - 6)$
167956	Graph	R(x)=-(x+2)^3	$R (x) = - {(x + 2)}^{3}$
167957	Factor	2ax+2bx-ay+5a-by+5b	$2 a x + 2 b x - a y + 5 a - b y + 5 b$
167958	Simplify	1/2-3/4	$\frac{1}{2} - \frac{3}{4}$
167959	Simplify	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{- \frac{1}{5}}$
167960	Solve for r	v=pir^2h for r	$v = π r^{2} h$ for $r$
167961	Simplify	3/(2a)+1/(6a)	$\frac{3}{2 a} + \frac{1}{6 a}$
167962	Solve for c	10=\|-8+c\|	$10 = \| - 8 + c \|$
167963	Graph	f(x)=x+2 if x<=-5; -2 if -5=6	$f (x) = {\begin{cases} x + 2 & x \leq - 5 \\ - 2 & - 5 = 6 \end{cases}$
167964	Solve for y	2/3=-1/4y+1/2	$\frac{2}{3} = - \frac{1}{4} y + \frac{1}{2}$
167965	Graph Using a Table of Values	f(x)=2/(x-1)	$f (x) = \frac{2}{x - 1}$
167966	Graph	y-3=1/2(x-2)	$y - 3 = \frac{1}{2} (x - 2)$
167967	Solve the Inequality for x	16-x^2>=0	$16 - x^{2} \geq 0$
167968	Solve for x	f(x)=1	$f (x) = 1$
167969	Solve the Inequality for x	x-3>4	$x - 3 > 4$
167970	Evaluate	1/2(1-0.98)	$\frac{1}{2} (1 - 0.98)$
167971	Solve for d	-16(d+1)=-20	$- 16 (d + 1) = - 20$
167972	Solve for d	d/t=r	$\frac{d}{t} = r$
167973	Solve for x	5x-(x+3)=3(2-2x)+x	$5 x - (x + 3) = 3 (2 - 2 x) + x$
167974	Solve the Inequality for x	x^2-2x>=3	$x^{2} - 2 x \geq 3$
167975	Solve for n	-5+5(n-7)=-40+5n	$- 5 + 5 (n - 7) = - 40 + 5 n$
167976	Evaluate Using the Given Value	13-0.75w+8x when w=12 and x=1/2	$13 - 0.75 w + 8 x$ when $w = 12$ and $x = \frac{1}{2}$
167977	Solve for x	5/4x+3-1/2x-2=4-3/4x	$\frac{5}{4} x + 3 - \frac{1}{2} x - 2 = 4 - \frac{3}{4} x$
167978	Solve for P	l=Prt	$l = P r t$
167979	Factor	4x^2-12x+9=0	$4 x^{2} - 12 x + 9 = 0$
167980	Evaluate	-(-1)^2+(-1)+1	$- {(- 1)}^{2} + (- 1) + 1$
167981	Solve the Inequality for x	3x+11<=6x+8	$3 x + 11 \leq 6 x + 8$
167982	Solve the Inequality for x	-5x>20	$- 5 x > 20$
167983	Simplify	(4t^-8)/(-3(t^4)^5)	$\frac{4 t^{- 8}}{- 3 {(t^{4})}^{5}}$
167984	Subtract	-7a^2+3a-9 from 5a^2-6a-4	$- 7 a^{2} + 3 a - 9$ from $5 a^{2} - 6 a - 4$
167985	Combine Like Terms	4x-2y^2+2y^2+2-3x+4-y^2	$4 x - 2 y^{2} + 2 y^{2} + 2 - 3 x + 4 - y^{2}$
167986	Solve for z	-7/8+2/7z=-2/3	$- \frac{7}{8} + \frac{2}{7} z = - \frac{2}{3}$
167987	Solve the Inequality for x	x^2-6x>=-8	$x^{2} - 6 x \geq - 8$
167988	Graph	y=k/x	$y = \frac{k}{x}$
167989	Graph	y>=x+3 y>=4-x	$y \geq x + 3$ $y \geq 4 - x$
167990	Simplify	5 square root of 10+ square root of 40+ square root of 90	$5 \sqrt{10} + \sqrt{40} + \sqrt{90}$
167991	Graph	f(x)=-3-x if x<=1; -3+2x if x>1	$f (x) = {\begin{cases} - 3 - x & x \leq 1 \\ - 3 + 2 x & x > 1 \end{cases}$
167992	Solve for x	x-4=(2(x+8))/5	$x - 4 = \frac{2 (x + 8)}{5}$
167993	Solve the System of Equations	y=x^2-2x-19 y+4x=5	$y = x^{2} - 2 x - 19$ $y + 4 x = 5$
167994	Find the Domain and Range	y	$y$
167995	Solve for n	2/5+3/5n-11/5=2/5n+1/5	$\frac{2}{5} + \frac{3}{5} n - \frac{11}{5} = \frac{2}{5} n + \frac{1}{5}$
167996	Solve the Rational Equation for x	8/(x^2)+1=9/x	$\frac{8}{x^{2}} + 1 = \frac{9}{x}$
167997	Convert to a Decimal	100deg	$100$ degrees
167998	Solve for a	d=b^2-4ac	$d = b^{2} - 4 a c$
167999	Solve for z	7/10z+1/2=-1/2	$\frac{7}{10} z + \frac{1}{2} = - \frac{1}{2}$
168000	Solve for θ	sin(theta)^2=1/4	$\sin^{2} (θ) = \frac{1}{4}$