Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180801	Write Using Negative Exponents	x^4+3x	$x^{4} + 3 x$
180802	Graph	x^2>=4x	$x^{2} \geq 4 x$
180803	Find the Domain and Range	f(x) = cube root of x+2-2	$f (x) = \sqrt[3]{x + 2} - 2$
180804	Solve for x	2 natural log of 8x+7-12=0	$2 \ln (8 x + 7) - 12 = 0$
180805	Solve for x	x+3/4=-1/2	$x + \frac{3}{4} = - \frac{1}{2}$
180806	Solve the System of Equations	y=-2x-9 2x+3y=-3	$y = - 2 x - 9$ $2 x + 3 y = - 3$
180807	Solve the Inequality for y	2y+4>2(3+y)	$2 y + 4 > 2 (3 + y)$
180808	Solve for x	16^(2x-5)>=64^(2x-3)	$16^{2 x - 5} \geq 64^{2 x - 3}$
180809	Solve the Inequality for x	3+4/x>=(x+2)/x	$3 + \frac{4}{x} \geq \frac{x + 2}{x}$
180810	Simplify	(3x^2y^2-6xz)/(6x^2yz)	$\frac{3 x^{2} y^{2} - 6 x z}{6 x^{2} y z}$
180811	Solve for x	(7x)/9=7/x	$\frac{7 x}{9} = \frac{7}{x}$
180812	Evaluate	1/(4pi(3)^2)*180pi	$\frac{1}{4 π {(3)}^{2}} \cdot 180 π$
180813	Find the Exact Value	(-12+ square root of -18)/60	$\frac{- 12 + \sqrt{- 18}}{60}$
180814	Simplify	2-(x+1)/(x-2)-(x-4)/(x+2)	$2 - \frac{x + 1}{x - 2} - \frac{x - 4}{x + 2}$
180815	Solve for p	p^2+2pq+q^2=1	$p^{2} + 2 p q + q^{2} = 1$
180816	Solve the Inequality for x	(x-5)(x+4)>=0	$(x - 5) (x + 4) \geq 0$
180817	Solve for a	h=k+ log of a/c	$h = k + \log (\frac{a}{c})$
180818	Simplify	cube root of (27x^3)^4	$\sqrt[3]{{(27 x^{3})}^{4}}$
180819	Find the Slope and y-intercept	y-9=0	$y - 9 = 0$
180820	Solve by Completing the Square	0=x^2-14x+46	$0 = x^{2} - 14 x + 46$
180821	Solve the Inequality for x	-(9x)/11-7<-5	$- \frac{9 x}{11} - 7 < - 5$
180822	Solve for p	7p+9-p=4p-2	$7 p + 9 - p = 4 p - 2$
180823	Simplify	(b+3)/(b^2-9)+1/(b-3)	$\frac{b + 3}{b^{2} - 9} + \frac{1}{b - 3}$
180824	Solve the Inequality for x	x/6<1	$\frac{x}{6} < 1$
180825	Simplify	(6x^2-600)/(3x-30)*(x^2-100)/(x^2(x+10)^2)	$\frac{6 x^{2} - 600}{3 x - 30} \cdot \frac{x^{2} - 100}{x^{2} {(x + 10)}^{2}}$
180826	Find the Product	(-12-n)^2	${(- 12 - n)}^{2}$
180827	Find All Complex Solutions	5x=8x-15	$5 x = 8 x - 15$
180828	Solve the Inequality for r	24>-3r>-9	$24 > - 3 r > - 9$
180829	Solve for x	3x=7(2/7-3/7x)-10	$3 x = 7 (\frac{2}{7} - \frac{3}{7} x) - 10$
180830	Find the Exact Value	cos(((4pi)/3)/2)	$\cos (\frac{\frac{4 π}{3}}{2})$
180831	Evaluate	(1+0.04/4)	$(1 + \frac{0.04}{4})$
180832	Find the Product	(9g-4)^2	${(9 g - 4)}^{2}$
180833	Find the Holes in the Graph	f(x)=(x-1)/(-2x^2+8x-6)	$f (x) = \frac{x - 1}{- 2 x^{2} + 8 x - 6}$
180834	Describe the Transformation	y = log base 4 of x-1+5	$y = \log_{4} (x - 1) + 5$
180835	Find f(g(x))	f(x)=x-3 and g(x)=5x^2-3	$f (x) = x - 3$ and $g (x) = 5 x^{2} - 3$
180836	Solve the System of Inequalities	-3x-4<=-10 or -16>=-3x-4	$- 3 x - 4 \leq - 10$ or $- 16 \geq - 3 x - 4$
180837	Graph	f(x)=x^x	$f (x) = x^{x}$
180838	Graph	y=(2x)^3+2	$y = {(2 x)}^{3} + 2$
180839	Solve for B	V=Bh for B	$V = B h$ for $B$
180840	Solve for x	log base 6 of 8x-3 log base 6 of 3=2	$\log_{6} (8 x) - 3 \log_{6} (3) = 2$
180841	Find the Exact Value	tan(arcsin(x-1))	$\tan (\arcsin (x - 1))$
180842	Evaluate	(x^4)^4	${(x^{4})}^{4}$
180843	Find All Complex Solutions	square root of 2cos(theta)^2+cos(theta)=0	$\sqrt{2} \cos^{2} (θ) + \cos (θ) = 0$
180844	Solve Using the Quadratic Formula	3(x+5)^2=60	$3 {(x + 5)}^{2} = 60$
180845	Factor	m^6-7m^4-18m^2	$m^{6} - 7 m^{4} - 18 m^{2}$
180846	Simplify	(4x-9)+8(2x+3)-7x	$(4 x - 9) + 8 (2 x + 3) - 7 x$
180847	Find the Product	(3a-2b)^2	${(3 a - 2 b)}^{2}$
180848	Solve the Inequality for s	\|2s-7\|>=-1	$\| 2 s - 7 \| \geq - 1$
180849	Factor	ax-ay	$a x - a y$
180850	Graph	y>=\|x+2\|-3	$y \geq \| x + 2 \| - 3$
180851	Graph	y<=-2/3x+2 y<4/3x-4	$y \leq - \frac{2}{3} x + 2$ $y < \frac{4}{3} x - 4$
180852	Simplify	(-5x+5)*(-3x^2+2x+3)	$(- 5 x + 5) \cdot (- 3 x^{2} + 2 x + 3)$
180853	Graph	y=-(2x)^3-5	$y = - {(2 x)}^{3} - 5$
180854	Solve for x	square root of 4x+2 = square root of 9x-9	$\sqrt{4 x} + 2 = \sqrt{9 x - 9}$
180855	Solve for m	m+5(m-1)=7	$m + 5 (m - 1) = 7$
180856	Simplify	(n^2+7n-18)/(n^2-5n+6)-1/(n-3)	$\frac{n^{2} + 7 n - 18}{n^{2} - 5 n + 6} - \frac{1}{n - 3}$
180857	Rationalize the Denominator	( square root of 20)/(6- square root of 5)	$\frac{\sqrt{20}}{6 - \sqrt{5}}$
180858	Evaluate	(-1)^(1/2)	${(- 1)}^{\frac{1}{2}}$
180859	Evaluate	\|3-6\|-(12÷6+1)^2	$\| 3 - 6 \| - {(12 \div 6 + 1)}^{2}$
180860	Solve the Inequality for x	(8x)/(x-9)>=0	$\frac{8 x}{x - 9} \geq 0$
180861	Factor	3x(x-2y)^2-(x-2y)^3	$3 x {(x - 2 y)}^{2} - {(x - 2 y)}^{3}$
180862	Solve for x	3(6-x)-4=3x-4	$3 (6 - x) - 4 = 3 x - 4$
180863	Solve for x	e^(x^2)=e^9	$e^{x^{2}} = e^{9}$
180864	Evaluate	e^(-1^2)	$e^{- 1^{2}}$
180865	Find the x and y Intercepts	r(x)=(3x+6)/(-6x+2)	$r (x) = \frac{3 x + 6}{- 6 x + 2}$
180866	Solve Using the Quadratic Formula	0.20=(x^2)/(55-x)	$0.2 = \frac{x^{2}}{55 - x}$
180867	Graph	f(x)=x^2-3 , x<=0	$f (x) = x^{2} - 3$ , $x \leq 0$
180868	Multiply	(4/3)^-8*(4/3)^2	${(\frac{4}{3})}^{- 8} \cdot {(\frac{4}{3})}^{2}$
180869	Solve for a	\|3/4a-3\|=9	$\| \frac{3}{4} a - 3 \| = 9$
180870	Multiply	-3/2*-1	$- \frac{3}{2} \cdot - 1$
180871	Graph	y=(1/2)^x=2^(-x) , [-2,2]	$y = {(\frac{1}{2})}^{x} = 2^{- x}$ , $[- 2, 2]$
180872	Solve for x	(-3)^-5=1/x	${(- 3)}^{- 5} = \frac{1}{x}$
180873	Simplify	(x-10)/(6x-42)*(x^5+x^4-56x^3)/(x^2-x-72)	$\frac{x - 10}{6 x - 42} \cdot \frac{x^{5} + x^{4} - 56 x^{3}}{x^{2} - x - 72}$
180874	Simplify	9/( square root of 3+ square root of 7)	$\frac{9}{\sqrt{3} + \sqrt{7}}$
180875	Solve for w	square root of w=3	$\sqrt{w} = 3$
180876	Solve the System of Inequalities	-8<=2x-4<2	$- 8 \leq 2 x - 4 < 2$
180877	Find the Exact Value	square root of 45	$\sqrt{45}$
180878	Graph	f(x)=x^4+x^2	$f (x) = x^{4} + x^{2}$
180879	Simplify	fourth root of 5+4 fourth root of 5	$\sqrt[4]{5} + 4 \sqrt[4]{5}$
180880	Simplify	2/(x-5)+(3x)/(x^2-25)	$\frac{2}{x - 5} + \frac{3 x}{x^{2} - 25}$
180881	Graph	(-x)^2	${(- x)}^{2}$
180882	Solve for x	log of x^2-5x+14=2x+4	$\log (x^{2} - 5 x + 14) = 2 x + 4$
180883	Convert to Interval Notation	-(3x)/4<3 and 4x+6<-3	$- \frac{3 x}{4} < 3$ and $4 x + 6 < - 3$
180884	Simplify	(( square root of 2)/2-2/5i)^2	${(\frac{\sqrt{2}}{2} - \frac{2}{5} i)}^{2}$
180885	Factor	a(a+b)-b(a+b)	$a (a + b) - b (a + b)$
180886	Solve for v	2(3-1/4v)=2-v	$2 (3 - \frac{1}{4} v) = 2 - v$
180887	Find the x and y Intercepts	f(x)=-2x(x-1)(x^2+6)	$f (x) = - 2 x (x - 1) (x^{2} + 6)$
180888	Solve for n	n^(3/2)=125	$n^{\frac{3}{2}} = 125$
180889	Graph	y=1/2(x+3)^2+5	$y = \frac{1}{2} {(x + 3)}^{2} + 5$
180890	Graph	y^2-2y=8x-1	$y^{2} - 2 y = 8 x - 1$
180891	Find the Product	(9y^2-4x)(9y^2+4x)	$(9 y^{2} - 4 x) (9 y^{2} + 4 x)$
180892	Solve the Inequality for x	-3+3x<=x+2(x-4)	$- 3 + 3 x \leq x + 2 (x - 4)$
180893	Solve for c	A+b+c=180	$A + b + c = 180$
180894	Solve for p	2m=(p-q)/r	$2 m = \frac{p - q}{r}$
180895	Solve the System of Equations	x-y+z=-1 x+y+3z=-3 2x-y+2z=0	$x - y + z = - 1$ $x + y + 3 z = - 3$ $2 x - y + 2 z = 0$
180896	Find the Roots (Zeros)	f(x)=x^5-3x^3+x	$f (x) = x^{5} - 3 x^{3} + x$
180897	Graph	y<=x^2-5x+6	$y \leq x^{2} - 5 x + 6$
180898	Write in Standard Form	x^2=16	$x^{2} = 16$
180899	Find the Product	(6k+5)(5k+5)	$(6 k + 5) (5 k + 5)$
180900	Find the Function	f(x)=9-6x	$f (x) = 9 - 6 x$