Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180801	Graph	g(x)=f(2x) ?	$g (x) = f (2 x)$ ?
180802	Simplify	(x^5-11x^4+10x^3)/(6x^2-6x)*(x^2-1)/(x^2-9x-10)	$\frac{x^{5} - 11 x^{4} + 10 x^{3}}{6 x^{2} - 6 x} \cdot \frac{x^{2} - 1}{x^{2} - 9 x - 10}$
180803	Find the Product	(x-3y)^3	${(x - 3 y)}^{3}$
180804	Simplify	xy-2xy+3x^2y-4xy^2+2xy^2	$x y - 2 x y + 3 x^{2} y - 4 x y^{2} + 2 x y^{2}$
180805	Graph Using a Table of Values	f(x) = log base 4 of x	$f (x) = \log_{4} (x)$
180806	Subtract	(8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4)	$(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)$
180807	Factor	x^5+x^4-3x^3-3x^2-4x-4	$x^{5} + x^{4} - 3 x^{3} - 3 x^{2} - 4 x - 4$
180808	Evaluate	square root of 1-x^2	$\sqrt{1 - x^{2}}$
180809	Find the Holes in the Graph	(x-3)/(2x+7)	$\frac{x - 3}{2 x + 7}$
180810	Solve for x	(2x)/(x-3)-(2x-5)/(x^2-8x+15)=-3/(x-5)	$\frac{2 x}{x - 3} - \frac{2 x - 5}{x^{2} - 8 x + 15} = \frac{- 3}{x - 5}$
180811	Solve for y	-4+y<-8	$- 4 + y < - 8$
180812	Graph	\|x\|+\|y\|<=1	$\| x \| + \| y \| \leq 1$
180813	Graph	y>-x+8 y>2x-4	$y > - x + 8$ $y > 2 x - 4$
180814	Simplify	-6ab^3(a^5b^2-2a^4b-10ab-7)	$- 6 a b^{3} (a^{5} b^{2} - 2 a^{4} b - 10 a b - 7)$
180815	Solve for x	3(x-2)+7=8-(4x+7)	$3 (x - 2) + 7 = 8 - (4 x + 7)$
180816	Write Using Negative Exponents	x^4+3x	$x^{4} + 3 x$
180817	Graph	x^2>=4x	$x^{2} \geq 4 x$
180818	Find the Domain and Range	f(x) = cube root of x+2-2	$f (x) = \sqrt[3]{x + 2} - 2$
180819	Solve for x	2 natural log of 8x+7-12=0	$2 \ln (8 x + 7) - 12 = 0$
180820	Solve for x	x+3/4=-1/2	$x + \frac{3}{4} = - \frac{1}{2}$
180821	Solve the System of Equations	y=-2x-9 2x+3y=-3	$y = - 2 x - 9$ $2 x + 3 y = - 3$
180822	Solve the Inequality for y	2y+4>2(3+y)	$2 y + 4 > 2 (3 + y)$
180823	Solve for x	16^(2x-5)>=64^(2x-3)	$16^{2 x - 5} \geq 64^{2 x - 3}$
180824	Solve the Inequality for x	3+4/x>=(x+2)/x	$3 + \frac{4}{x} \geq \frac{x + 2}{x}$
180825	Simplify	(3x^2y^2-6xz)/(6x^2yz)	$\frac{3 x^{2} y^{2} - 6 x z}{6 x^{2} y z}$
180826	Solve for x	(7x)/9=7/x	$\frac{7 x}{9} = \frac{7}{x}$
180827	Evaluate	1/(4pi(3)^2)*180pi	$\frac{1}{4 π {(3)}^{2}} \cdot 180 π$
180828	Find the Exact Value	(-12+ square root of -18)/60	$\frac{- 12 + \sqrt{- 18}}{60}$
180829	Simplify	2-(x+1)/(x-2)-(x-4)/(x+2)	$2 - \frac{x + 1}{x - 2} - \frac{x - 4}{x + 2}$
180830	Solve for p	p^2+2pq+q^2=1	$p^{2} + 2 p q + q^{2} = 1$
180831	Solve the Inequality for x	(x-5)(x+4)>=0	$(x - 5) (x + 4) \geq 0$
180832	Solve for a	h=k+ log of a/c	$h = k + \log (\frac{a}{c})$
180833	Simplify	cube root of (27x^3)^4	$\sqrt[3]{{(27 x^{3})}^{4}}$
180834	Find the Slope and y-intercept	y-9=0	$y - 9 = 0$
180835	Solve by Completing the Square	0=x^2-14x+46	$0 = x^{2} - 14 x + 46$
180836	Solve the Inequality for x	-(9x)/11-7<-5	$- \frac{9 x}{11} - 7 < - 5$
180837	Solve for p	7p+9-p=4p-2	$7 p + 9 - p = 4 p - 2$
180838	Simplify	(b+3)/(b^2-9)+1/(b-3)	$\frac{b + 3}{b^{2} - 9} + \frac{1}{b - 3}$
180839	Solve the Inequality for x	x/6<1	$\frac{x}{6} < 1$
180840	Simplify	(6x^2-600)/(3x-30)*(x^2-100)/(x^2(x+10)^2)	$\frac{6 x^{2} - 600}{3 x - 30} \cdot \frac{x^{2} - 100}{x^{2} {(x + 10)}^{2}}$
180841	Find the Product	(-12-n)^2	${(- 12 - n)}^{2}$
180842	Find All Complex Solutions	5x=8x-15	$5 x = 8 x - 15$
180843	Solve the Inequality for r	24>-3r>-9	$24 > - 3 r > - 9$
180844	Solve for x	3x=7(2/7-3/7x)-10	$3 x = 7 (\frac{2}{7} - \frac{3}{7} x) - 10$
180845	Find the Exact Value	cos(((4pi)/3)/2)	$\cos (\frac{\frac{4 π}{3}}{2})$
180846	Evaluate	(1+0.04/4)	$(1 + \frac{0.04}{4})$
180847	Find the Product	(9g-4)^2	${(9 g - 4)}^{2}$
180848	Find the Holes in the Graph	f(x)=(x-1)/(-2x^2+8x-6)	$f (x) = \frac{x - 1}{- 2 x^{2} + 8 x - 6}$
180849	Describe the Transformation	y = log base 4 of x-1+5	$y = \log_{4} (x - 1) + 5$
180850	Find f(g(x))	f(x)=x-3 and g(x)=5x^2-3	$f (x) = x - 3$ and $g (x) = 5 x^{2} - 3$
180851	Solve the System of Inequalities	-3x-4<=-10 or -16>=-3x-4	$- 3 x - 4 \leq - 10$ or $- 16 \geq - 3 x - 4$
180852	Graph	f(x)=x^x	$f (x) = x^{x}$
180853	Graph	y=(2x)^3+2	$y = {(2 x)}^{3} + 2$
180854	Solve for B	V=Bh for B	$V = B h$ for $B$
180855	Solve for x	log base 6 of 8x-3 log base 6 of 3=2	$\log_{6} (8 x) - 3 \log_{6} (3) = 2$
180856	Find the Exact Value	tan(arcsin(x-1))	$\tan (\arcsin (x - 1))$
180857	Evaluate	(x^4)^4	${(x^{4})}^{4}$
180858	Find All Complex Solutions	square root of 2cos(theta)^2+cos(theta)=0	$\sqrt{2} \cos^{2} (θ) + \cos (θ) = 0$
180859	Solve Using the Quadratic Formula	3(x+5)^2=60	$3 {(x + 5)}^{2} = 60$
180860	Factor	m^6-7m^4-18m^2	$m^{6} - 7 m^{4} - 18 m^{2}$
180861	Simplify	(4x-9)+8(2x+3)-7x	$(4 x - 9) + 8 (2 x + 3) - 7 x$
180862	Find the Product	(3a-2b)^2	${(3 a - 2 b)}^{2}$
180863	Solve the Inequality for s	\|2s-7\|>=-1	$\| 2 s - 7 \| \geq - 1$
180864	Factor	ax-ay	$a x - a y$
180865	Graph	y>=\|x+2\|-3	$y \geq \| x + 2 \| - 3$
180866	Graph	y<=-2/3x+2 y<4/3x-4	$y \leq - \frac{2}{3} x + 2$ $y < \frac{4}{3} x - 4$
180867	Simplify	(-5x+5)*(-3x^2+2x+3)	$(- 5 x + 5) \cdot (- 3 x^{2} + 2 x + 3)$
180868	Graph	y=-(2x)^3-5	$y = - {(2 x)}^{3} - 5$
180869	Solve for x	square root of 4x+2 = square root of 9x-9	$\sqrt{4 x} + 2 = \sqrt{9 x - 9}$
180870	Solve for m	m+5(m-1)=7	$m + 5 (m - 1) = 7$
180871	Simplify	(n^2+7n-18)/(n^2-5n+6)-1/(n-3)	$\frac{n^{2} + 7 n - 18}{n^{2} - 5 n + 6} - \frac{1}{n - 3}$
180872	Rationalize the Denominator	( square root of 20)/(6- square root of 5)	$\frac{\sqrt{20}}{6 - \sqrt{5}}$
180873	Evaluate	(-1)^(1/2)	${(- 1)}^{\frac{1}{2}}$
180874	Evaluate	\|3-6\|-(12÷6+1)^2	$\| 3 - 6 \| - {(12 \div 6 + 1)}^{2}$
180875	Solve the Inequality for x	(8x)/(x-9)>=0	$\frac{8 x}{x - 9} \geq 0$
180876	Factor	3x(x-2y)^2-(x-2y)^3	$3 x {(x - 2 y)}^{2} - {(x - 2 y)}^{3}$
180877	Solve for x	3(6-x)-4=3x-4	$3 (6 - x) - 4 = 3 x - 4$
180878	Solve for x	e^(x^2)=e^9	$e^{x^{2}} = e^{9}$
180879	Evaluate	e^(-1^2)	$e^{- 1^{2}}$
180880	Find the x and y Intercepts	r(x)=(3x+6)/(-6x+2)	$r (x) = \frac{3 x + 6}{- 6 x + 2}$
180881	Solve Using the Quadratic Formula	0.20=(x^2)/(55-x)	$0.2 = \frac{x^{2}}{55 - x}$
180882	Graph	f(x)=x^2-3 , x<=0	$f (x) = x^{2} - 3$ , $x \leq 0$
180883	Multiply	(4/3)^-8*(4/3)^2	${(\frac{4}{3})}^{- 8} \cdot {(\frac{4}{3})}^{2}$
180884	Solve for a	\|3/4a-3\|=9	$\| \frac{3}{4} a - 3 \| = 9$
180885	Multiply	-3/2*-1	$- \frac{3}{2} \cdot - 1$
180886	Graph	y=(1/2)^x=2^(-x) , [-2,2]	$y = {(\frac{1}{2})}^{x} = 2^{- x}$ , $[- 2, 2]$
180887	Solve for x	(-3)^-5=1/x	${(- 3)}^{- 5} = \frac{1}{x}$
180888	Simplify	(x-10)/(6x-42)*(x^5+x^4-56x^3)/(x^2-x-72)	$\frac{x - 10}{6 x - 42} \cdot \frac{x^{5} + x^{4} - 56 x^{3}}{x^{2} - x - 72}$
180889	Simplify	9/( square root of 3+ square root of 7)	$\frac{9}{\sqrt{3} + \sqrt{7}}$
180890	Solve for w	square root of w=3	$\sqrt{w} = 3$
180891	Solve the System of Inequalities	-8<=2x-4<2	$- 8 \leq 2 x - 4 < 2$
180892	Find the Exact Value	square root of 45	$\sqrt{45}$
180893	Graph	f(x)=x^4+x^2	$f (x) = x^{4} + x^{2}$
180894	Simplify	fourth root of 5+4 fourth root of 5	$\sqrt[4]{5} + 4 \sqrt[4]{5}$
180895	Simplify	2/(x-5)+(3x)/(x^2-25)	$\frac{2}{x - 5} + \frac{3 x}{x^{2} - 25}$
180896	Graph	(-x)^2	${(- x)}^{2}$
180897	Solve for x	log of x^2-5x+14=2x+4	$\log (x^{2} - 5 x + 14) = 2 x + 4$
180898	Convert to Interval Notation	-(3x)/4<3 and 4x+6<-3	$- \frac{3 x}{4} < 3$ and $4 x + 6 < - 3$
180899	Simplify	(( square root of 2)/2-2/5i)^2	${(\frac{\sqrt{2}}{2} - \frac{2}{5} i)}^{2}$
180900	Factor	a(a+b)-b(a+b)	$a (a + b) - b (a + b)$