Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175601	Simplify	f^-1(f(x))	$f^{- 1} (f (x))$
175602	Solve for x	2x+3/(x+4)=x	$2 x + \frac{3}{x + 4} = x$
175603	Solve for s	-4\|s+9\|=-24	$- 4 \| s + 9 \| = - 24$
175604	Solve for a	( fifth root of x^2)/((x^2)^(1/5))=x^a	$\frac{\sqrt[5]{x^{2}}}{{(x^{2})}^{\frac{1}{5}}} = x^{a}$
175605	Find the Excluded Values	1/(v-5)	$\frac{1}{v - 5}$
175606	Solve for n	5(3/5n+2)-n=-6n	$5 (\frac{3}{5} n + 2) - n = - 6 n$
175607	Simplify	( sixth root of 64)/( fourth root of 256)	$\frac{\sqrt[6]{64}}{\sqrt[4]{256}}$
175608	Graph	4+n/3<6	$4 + \frac{n}{3} < 6$
175609	Simplify	(7a+7b)/(a^2-b^2)	$\frac{7 a + 7 b}{a^{2} - b^{2}}$
175610	Graph	y=1/3sin(2x)	$y = \frac{1}{3} \sin (2 x)$
175611	Solve the Inequality for z	2(z+1)-4(z-4)<=2(z+5)	$2 (z + 1) - 4 (z - 4) \leq 2 (z + 5)$
175612	Solve for x	square root of x+11 = square root of -1-3x	$\sqrt{x + 11} = \sqrt{- 1 - 3 x}$
175613	Find the Distance Between Two Points	(7,-1) and (5,9)	$(7, - 1)$ and $(5, 9)$
175614	Evaluate	5/9(F-32)	$\frac{5}{9} (F - 32)$
175615	Evaluate	((2^5- square root of 400)/2)-(3(-5+1))	$(\frac{2^{5} - \sqrt{400}}{2}) - (3 (- 5 + 1))$
175616	Factor	2x^3+3x^2-1	$2 x^{3} + 3 x^{2} - 1$
175617	Solve Using the Quadratic Formula	f(x)=x^2-4x+5	$f (x) = x^{2} - 4 x + 5$
175618	Solve for x	cube root of x+10=8	$\sqrt[3]{x} + 10 = 8$
175619	Solve for a	1.7a+0.3a=4/5	$1.7 a + 0.3 a = \frac{4}{5}$
175620	Find the Holes in the Graph	f(x)=(x+7)/(x^2+x-42)	$f (x) = \frac{x + 7}{x^{2} + x - 42}$
175621	Evaluate	2*(3(5+2)-1)	$2 \cdot (3 (5 + 2) - 1)$
175622	Solve the Inequality for x	2(4-2x)>1	$2 (4 - 2 x) > 1$
175623	Solve for m	(5m)/-7+8=3	$\frac{5 m}{- 7} + 8 = 3$
175624	Simplify	((2p)/(4p^2-1))÷((6p^3)/(6p+3))	$\frac{2 p}{4 p^{2} - 1} \div \frac{6 p^{3}}{6 p + 3}$
175625	Find the Holes in the Graph	h(x)=(x+3)/(x(x-9))	$h (x) = \frac{x + 3}{x (x - 9)}$
175626	Find the Midpoint	(-9,-8) and (-1,2)	$(- 9, - 8)$ and $(- 1, 2)$
175627	Solve for w	P=2l+2w ; for w	$P = 2 l + 2 w$ ; for $w$
175628	Solve the System of Equations	(x^2)/25+(y^2)/100=1 x^2+y^2=25	$\frac{x^{2}}{25} + \frac{y^{2}}{100} = 1$ $x^{2} + y^{2} = 25$
175629	Solve for x	square root of 4x+2=x^3	$\sqrt{4 x + 2} = x^{3}$
175630	Find the Discriminant	x^2+11x-48=3x	$x^{2} + 11 x - 48 = 3 x$
175631	Solve the Rational Equation for x	4/x=9/(x-2)	$\frac{4}{x} = \frac{9}{x - 2}$
175632	Solve for x	2-ax=-8	$2 - a x = - 8$
175633	Simplify	0/(0^2+1)	$\frac{0}{0^{2} + 1}$
175634	Graph	F(x)=x/((x-1)(x-5))	$F (x) = \frac{x}{(x - 1) (x - 5)}$
175635	Simplify	((b^2c^2)/(3b^4))^3	${(\frac{b^{2} c^{2}}{3 b^{4}})}^{3}$
175636	Simplify	(3a^2b)^3(2a^3b)	${(3 a^{2} b)}^{3} (2 a^{3} b)$
175637	Divide	(-2/3)÷2	$- \frac{2}{3} \div 2$
175638	Solve the System of Inequalities	-4x+7>-9 or -29<=-4x+7	$- 4 x + 7 > - 9$ or $- 29 \leq - 4 x + 7$
175639	Simplify	(1-cos(x)^2)^2	${(1 - \cos^{2} (x))}^{2}$
175640	Find All Complex Solutions	square root of x=x-2	$\sqrt{x} = x - 2$
175641	Evaluate	32-(5-68+15)-3(5-12+40÷(2^3))+45	$32 - (5 - 68 + 15) - 3 (5 - 12 + 40 \div 2^{3}) + 45$
175642	Solve for r	A=p(1+nr) for r	$A = p (1 + n r)$ for $r$
175643	Simplify	((x+y)/6)÷((x^2-y^2)/3)	$\frac{x + y}{6} \div \frac{x^{2} - y^{2}}{3}$
175644	Find f(g(x))	f(x)=x+2 , g(x)=4x^2-7x-2	$f (x) = x + 2$ , $g (x) = 4 x^{2} - 7 x - 2$
175645	Simplify	-3(2x-y)+2y+2(x+y)	$- 3 (2 x - y) + 2 y + 2 (x + y)$
175646	Solve for f	1/3(6f+5)+2/3(3f-1)=4/3f	$\frac{1}{3} (6 f + 5) + \frac{2}{3} (3 f - 1) = \frac{4}{3} f$
175647	Find the Function	f(x)=(3x^2-5x+1)^3	$f (x) = {(3 x^{2} - 5 x + 1)}^{3}$
175648	Solve for c	2/3cy+8m=2f	$\frac{2}{3} c y + 8 m = 2 f$
175649	Factor	x+z^2-2ax-2az^2	$x + z^{2} - 2 a x - 2 a z^{2}$
175650	Solve for x	square root of 2x+7+1 = square root of 2x+14	$\sqrt{2 x + 7} + 1 = \sqrt{2 x + 14}$
175651	Multiply	(-6x+6)*(4x-5y-2)	$(- 6 x + 6) \cdot (4 x - 5 y - 2)$
175652	Solve for k	-24-10k=-8(k+4)-2k	$- 24 - 10 k = - 8 (k + 4) - 2 k$
175653	Solve for z	-8(3/4z-2-1/2z)-12=2z	$- 8 (\frac{3}{4} z - 2 - \frac{1}{2} z) - 12 = 2 z$
175654	Find the Roots (Zeros)	(x+2)(2x^2+3x-9)	$(x + 2) (2 x^{2} + 3 x - 9)$
175655	Graph	square root of 0,25	$\sqrt{0, 25}$
175656	Graph	f(x)=(2x)/(1-x^2)	$f (x) = \frac{2 x}{1 - x^{2}}$
175657	Simplify	(50y^3)/(8xy^2)	$\frac{50 y^{3}}{8 x y^{2}}$
175658	Evaluate	1/4*(-4)^(8-1)	$\frac{1}{4} \cdot {(- 4)}^{8 - 1}$
175659	Solve for x	3x+17+1/2x-5=180	$3 x + 17 + \frac{1}{2} x - 5 = 180$
175660	Graph	f(x)<-2\|x\|+6	$f (x) < - 2 \| x \| + 6$
175661	Solve for r	I=Prt ; solve for r	$I = P r t$ ; solve for $r$
175662	Find the Roots (Zeros)	p(x)=(x+2)(2x+7)(x-1)(x-3)	$p (x) = (x + 2) (2 x + 7) (x - 1) (x - 3)$
175663	Solve for x	x/3+1/4=x/2	$\frac{x}{3} + \frac{1}{4} = \frac{x}{2}$
175664	Find the Roots (Zeros)	4x^2-28x=-53	$4 x^{2} - 28 x = - 53$
175665	Solve the Inequality for x	2\|5-2x\|-3<=15	$2 \| 5 - 2 x \| - 3 \leq 15$
175666	Solve for s	2/5(5+10s)=-3/2(2/3s-4)+3	$\frac{2}{5} (5 + 10 s) = - \frac{3}{2} (\frac{2}{3} s - 4) + 3$
175667	Graph Using a Table of Values	y = square root of x-2	$y = \sqrt{x - 2}$
175668	Solve for x	square root of x^2-4x+8+x=2-x	$\sqrt{x^{2} - 4 x + 8} + x = 2 - x$
175669	Solve for x	(2^(x+1))^2=64	${(2^{x + 1})}^{2} = 64$
175670	Solve the System of Inequalities	-x+6<12 or -x+6>2	$- x + 6 < 12$ or $- x + 6 > 2$
175671	Find the Midpoint	(-2,7) and (2,3)	$(- 2, 7)$ and $(2, 3)$
175672	Solve for q	1/3(3/4q+5)=3q-3/2(2q-1)	$\frac{1}{3} (\frac{3}{4} q + 5) = 3 q - \frac{3}{2} (2 q - 1)$
175673	Solve the Inequality for x	1/2(-2x-10)>3(4-6x)	$\frac{1}{2} (- 2 x - 10) > 3 (4 - 6 x)$
175674	Evaluate	(1/2)÷(-( square root of 3)/2)	$\frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
175675	Evaluate	f(x+h)=x/(x^2+1)	$f (x + h) = \frac{x}{x^{2} + 1}$
175676	Solve for x	x+5/(x-4)=2x	$x + \frac{5}{x - 4} = 2 x$
175677	Simplify	1/2+1/4+1/8	$\frac{1}{2} + \frac{1}{4} + \frac{1}{8}$
175678	Simplify	(4x)mn15*2	$(4 x) \cdot m n \cdot 15 \cdot 2$
175679	Simplify	(x/2)/2	$\frac{(\frac{x}{2})}{2}$
175680	Solve the Rational Equation for n	1/(n-8)-1=7/(n-8)	$\frac{1}{n - 8} - 1 = \frac{7}{n - 8}$
175681	Simplify	-4^-4	$- 4^{- 4}$
175682	Write in Standard Form	7-5x=3x^2	$7 - 5 x = 3 x^{2}$
175683	Find the Function	f(x)=x square root of x^2+1	$f (x) = x \sqrt{x^{2}} + 1$
175684	Solve for m	-m/3=12	$- \frac{m}{3} = 12$
175685	Solve the System of Inequalities	-57<=3(3x-4)<24	$- 57 \leq 3 (3 x - 4) < 24$
175686	Describe the Transformation	g(x)=1/3f(x)	$g (x) = \frac{1}{3} f (x)$
175687	Find the Equation of the Circle	Center (-3,4) , r=5	Center $(- 3, 4)$ , $r = 5$
175688	Find the Equation of the Circle	Center (6,-8) , r=10	Center $(6, - 8)$ , $r = 10$
175689	Write in Standard Form	(3x-2)(-x^2-10x-7)	$(3 x - 2) (- x^{2} - 10 x - 7)$
175690	Simplify	cube root of (216x^4)/(125y^21)	$\sqrt[3]{\frac{216 x^{4}}{125 y^{21}}}$
175691	Evaluate	(4+((2-5)^2-4(7-5)^3+2(15/3))) square root of 16	$(4 + ({(2 - 5)}^{2} - 4 {(7 - 5)}^{3} + 2 (\frac{15}{3}))) \sqrt{16}$
175692	Simplify	3x^2y(-2x^3y^4+3x^2y+2x-8y)	$3 x^{2} y (- 2 x^{3} y^{4} + 3 x^{2} y + 2 x - 8 y)$
175693	Graph	y<=-x+4 , y>x+2 , y>=0 , x>=0	$y \leq - x + 4$ , $y > x + 2$ , $y \geq 0$ , $x \geq 0$
175694	Simplify the Radical Expression	x^4 square root of x^6	$x^{4} \sqrt{x^{6}}$
175695	Graph	y=\|x^3\|	$y = \| x^{3} \|$
175696	Find the Holes in the Graph	f(x)=x/(x-3)	$f (x) = \frac{x}{x - 3}$
175697	Solve for d	cube root of d+2=7	$\sqrt[3]{d + 2} = 7$
175698	Solve the System of Equations	y=5/2x+2 2y=5x+8	$y = \frac{5}{2} x + 2$ $2 y = 5 x + 8$
175699	Find All Complex Solutions	2cos(theta)^2- square root of 3cos(theta)=0	$2 \cos^{2} (θ) - \sqrt{3} \cos (θ) = 0$
175700	Simplify	(2x^2y^-5)(6x^-3y)(1/3x^-1y^3)	$(2 x^{2} y^{- 5}) (6 x^{- 3} y) (\frac{1}{3} x^{- 1} y^{3})$