Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175601	Factor	2x^3+3x^2-1	$2 x^{3} + 3 x^{2} - 1$
175602	Solve Using the Quadratic Formula	f(x)=x^2-4x+5	$f (x) = x^{2} - 4 x + 5$
175603	Solve for x	cube root of x+10=8	$\sqrt[3]{x} + 10 = 8$
175604	Solve for a	1.7a+0.3a=4/5	$1.7 a + 0.3 a = \frac{4}{5}$
175605	Find the Holes in the Graph	f(x)=(x+7)/(x^2+x-42)	$f (x) = \frac{x + 7}{x^{2} + x - 42}$
175606	Evaluate	2*(3(5+2)-1)	$2 \cdot (3 (5 + 2) - 1)$
175607	Solve the Inequality for x	2(4-2x)>1	$2 (4 - 2 x) > 1$
175608	Solve for m	(5m)/-7+8=3	$\frac{5 m}{- 7} + 8 = 3$
175609	Simplify	((2p)/(4p^2-1))÷((6p^3)/(6p+3))	$\frac{2 p}{4 p^{2} - 1} \div \frac{6 p^{3}}{6 p + 3}$
175610	Find the Holes in the Graph	h(x)=(x+3)/(x(x-9))	$h (x) = \frac{x + 3}{x (x - 9)}$
175611	Find the Midpoint	(-9,-8) and (-1,2)	$(- 9, - 8)$ and $(- 1, 2)$
175612	Solve for w	P=2l+2w ; for w	$P = 2 l + 2 w$ ; for $w$
175613	Solve the System of Equations	(x^2)/25+(y^2)/100=1 x^2+y^2=25	$\frac{x^{2}}{25} + \frac{y^{2}}{100} = 1$ $x^{2} + y^{2} = 25$
175614	Solve for x	square root of 4x+2=x^3	$\sqrt{4 x + 2} = x^{3}$
175615	Find the Discriminant	x^2+11x-48=3x	$x^{2} + 11 x - 48 = 3 x$
175616	Solve the Rational Equation for x	4/x=9/(x-2)	$\frac{4}{x} = \frac{9}{x - 2}$
175617	Solve for x	2-ax=-8	$2 - a x = - 8$
175618	Simplify	0/(0^2+1)	$\frac{0}{0^{2} + 1}$
175619	Graph	F(x)=x/((x-1)(x-5))	$F (x) = \frac{x}{(x - 1) (x - 5)}$
175620	Simplify	((b^2c^2)/(3b^4))^3	${(\frac{b^{2} c^{2}}{3 b^{4}})}^{3}$
175621	Simplify	(3a^2b)^3(2a^3b)	${(3 a^{2} b)}^{3} (2 a^{3} b)$
175622	Divide	(-2/3)÷2	$- \frac{2}{3} \div 2$
175623	Solve the System of Inequalities	-4x+7>-9 or -29<=-4x+7	$- 4 x + 7 > - 9$ or $- 29 \leq - 4 x + 7$
175624	Simplify	(1-cos(x)^2)^2	${(1 - \cos^{2} (x))}^{2}$
175625	Find All Complex Solutions	square root of x=x-2	$\sqrt{x} = x - 2$
175626	Evaluate	32-(5-68+15)-3(5-12+40÷(2^3))+45	$32 - (5 - 68 + 15) - 3 (5 - 12 + 40 \div 2^{3}) + 45$
175627	Solve for r	A=p(1+nr) for r	$A = p (1 + n r)$ for $r$
175628	Simplify	((x+y)/6)÷((x^2-y^2)/3)	$\frac{x + y}{6} \div \frac{x^{2} - y^{2}}{3}$
175629	Find f(g(x))	f(x)=x+2 , g(x)=4x^2-7x-2	$f (x) = x + 2$ , $g (x) = 4 x^{2} - 7 x - 2$
175630	Simplify	-3(2x-y)+2y+2(x+y)	$- 3 (2 x - y) + 2 y + 2 (x + y)$
175631	Solve for f	1/3(6f+5)+2/3(3f-1)=4/3f	$\frac{1}{3} (6 f + 5) + \frac{2}{3} (3 f - 1) = \frac{4}{3} f$
175632	Find the Function	f(x)=(3x^2-5x+1)^3	$f (x) = {(3 x^{2} - 5 x + 1)}^{3}$
175633	Solve for c	2/3cy+8m=2f	$\frac{2}{3} c y + 8 m = 2 f$
175634	Factor	x+z^2-2ax-2az^2	$x + z^{2} - 2 a x - 2 a z^{2}$
175635	Solve for x	square root of 2x+7+1 = square root of 2x+14	$\sqrt{2 x + 7} + 1 = \sqrt{2 x + 14}$
175636	Multiply	(-6x+6)*(4x-5y-2)	$(- 6 x + 6) \cdot (4 x - 5 y - 2)$
175637	Solve for k	-24-10k=-8(k+4)-2k	$- 24 - 10 k = - 8 (k + 4) - 2 k$
175638	Solve for z	-8(3/4z-2-1/2z)-12=2z	$- 8 (\frac{3}{4} z - 2 - \frac{1}{2} z) - 12 = 2 z$
175639	Find the Roots (Zeros)	(x+2)(2x^2+3x-9)	$(x + 2) (2 x^{2} + 3 x - 9)$
175640	Graph	square root of 0,25	$\sqrt{0, 25}$
175641	Graph	f(x)=(2x)/(1-x^2)	$f (x) = \frac{2 x}{1 - x^{2}}$
175642	Simplify	(50y^3)/(8xy^2)	$\frac{50 y^{3}}{8 x y^{2}}$
175643	Evaluate	1/4*(-4)^(8-1)	$\frac{1}{4} \cdot {(- 4)}^{8 - 1}$
175644	Solve for x	3x+17+1/2x-5=180	$3 x + 17 + \frac{1}{2} x - 5 = 180$
175645	Graph	f(x)<-2\|x\|+6	$f (x) < - 2 \| x \| + 6$
175646	Solve for r	I=Prt ; solve for r	$I = P r t$ ; solve for $r$
175647	Find the Roots (Zeros)	p(x)=(x+2)(2x+7)(x-1)(x-3)	$p (x) = (x + 2) (2 x + 7) (x - 1) (x - 3)$
175648	Solve for x	x/3+1/4=x/2	$\frac{x}{3} + \frac{1}{4} = \frac{x}{2}$
175649	Find the Roots (Zeros)	4x^2-28x=-53	$4 x^{2} - 28 x = - 53$
175650	Solve the Inequality for x	2\|5-2x\|-3<=15	$2 \| 5 - 2 x \| - 3 \leq 15$
175651	Solve for s	2/5(5+10s)=-3/2(2/3s-4)+3	$\frac{2}{5} (5 + 10 s) = - \frac{3}{2} (\frac{2}{3} s - 4) + 3$
175652	Graph Using a Table of Values	y = square root of x-2	$y = \sqrt{x - 2}$
175653	Solve for x	square root of x^2-4x+8+x=2-x	$\sqrt{x^{2} - 4 x + 8} + x = 2 - x$
175654	Solve for x	(2^(x+1))^2=64	${(2^{x + 1})}^{2} = 64$
175655	Solve the System of Inequalities	-x+6<12 or -x+6>2	$- x + 6 < 12$ or $- x + 6 > 2$
175656	Find the Midpoint	(-2,7) and (2,3)	$(- 2, 7)$ and $(2, 3)$
175657	Solve for q	1/3(3/4q+5)=3q-3/2(2q-1)	$\frac{1}{3} (\frac{3}{4} q + 5) = 3 q - \frac{3}{2} (2 q - 1)$
175658	Solve the Inequality for x	1/2(-2x-10)>3(4-6x)	$\frac{1}{2} (- 2 x - 10) > 3 (4 - 6 x)$
175659	Evaluate	(1/2)÷(-( square root of 3)/2)	$\frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
175660	Evaluate	f(x+h)=x/(x^2+1)	$f (x + h) = \frac{x}{x^{2} + 1}$
175661	Solve for x	x+5/(x-4)=2x	$x + \frac{5}{x - 4} = 2 x$
175662	Simplify	1/2+1/4+1/8	$\frac{1}{2} + \frac{1}{4} + \frac{1}{8}$
175663	Simplify	(4x)mn15*2	$(4 x) \cdot m n \cdot 15 \cdot 2$
175664	Simplify	(x/2)/2	$\frac{(\frac{x}{2})}{2}$
175665	Solve the Rational Equation for n	1/(n-8)-1=7/(n-8)	$\frac{1}{n - 8} - 1 = \frac{7}{n - 8}$
175666	Simplify	-4^-4	$- 4^{- 4}$
175667	Write in Standard Form	7-5x=3x^2	$7 - 5 x = 3 x^{2}$
175668	Find the Function	f(x)=x square root of x^2+1	$f (x) = x \sqrt{x^{2}} + 1$
175669	Solve for m	-m/3=12	$- \frac{m}{3} = 12$
175670	Solve the System of Inequalities	-57<=3(3x-4)<24	$- 57 \leq 3 (3 x - 4) < 24$
175671	Describe the Transformation	g(x)=1/3f(x)	$g (x) = \frac{1}{3} f (x)$
175672	Find the Equation of the Circle	Center (-3,4) , r=5	Center $(- 3, 4)$ , $r = 5$
175673	Find the Equation of the Circle	Center (6,-8) , r=10	Center $(6, - 8)$ , $r = 10$
175674	Write in Standard Form	(3x-2)(-x^2-10x-7)	$(3 x - 2) (- x^{2} - 10 x - 7)$
175675	Simplify	cube root of (216x^4)/(125y^21)	$\sqrt[3]{\frac{216 x^{4}}{125 y^{21}}}$
175676	Evaluate	(4+((2-5)^2-4(7-5)^3+2(15/3))) square root of 16	$(4 + ({(2 - 5)}^{2} - 4 {(7 - 5)}^{3} + 2 (\frac{15}{3}))) \sqrt{16}$
175677	Simplify	3x^2y(-2x^3y^4+3x^2y+2x-8y)	$3 x^{2} y (- 2 x^{3} y^{4} + 3 x^{2} y + 2 x - 8 y)$
175678	Graph	y<=-x+4 , y>x+2 , y>=0 , x>=0	$y \leq - x + 4$ , $y > x + 2$ , $y \geq 0$ , $x \geq 0$
175679	Simplify the Radical Expression	x^4 square root of x^6	$x^{4} \sqrt{x^{6}}$
175680	Graph	y=\|x^3\|	$y = \| x^{3} \|$
175681	Find the Holes in the Graph	f(x)=x/(x-3)	$f (x) = \frac{x}{x - 3}$
175682	Solve for d	cube root of d+2=7	$\sqrt[3]{d + 2} = 7$
175683	Solve the System of Equations	y=5/2x+2 2y=5x+8	$y = \frac{5}{2} x + 2$ $2 y = 5 x + 8$
175684	Find All Complex Solutions	2cos(theta)^2- square root of 3cos(theta)=0	$2 \cos^{2} (θ) - \sqrt{3} \cos (θ) = 0$
175685	Simplify	(2x^2y^-5)(6x^-3y)(1/3x^-1y^3)	$(2 x^{2} y^{- 5}) (6 x^{- 3} y) (\frac{1}{3} x^{- 1} y^{3})$
175686	Solve the Inequality for x	x^4>9x^2	$x^{4} > 9 x^{2}$
175687	Graph	-x^3+4x	$- x^{3} + 4 x$
175688	Solve the Inequality for k	2k-9<=-19	$2 k - 9 \leq - 19$
175689	Solve for y	6y- square root of 2y^2-1=7y-2	$6 y - \sqrt{2 y^{2} - 1} = 7 y - 2$
175690	Evaluate	2*7-10/(9-4)	$2 \times 7 - \frac{10}{9 - 4}$
175691	Solve for x	36x^2-49/64=0	$36 x^{2} - \frac{49}{64} = 0$
175692	Solve the System of Equations	y=9x y=2x	$y = 9 x$ $y = 2 x$
175693	Solve for q	5q+6=2q-2+q	$5 q + 6 = 2 q - 2 + q$
175694	Solve for x	1/(x^2)-1/(2x^2)=-1/x	$\frac{1}{x^{2}} - \frac{1}{2 x^{2}} = - \frac{1}{x}$
175695	Solve for b	16+8b>=50	$16 + 8 b \geq 50$
175696	Graph	p(x)=(2x-1)^3(x-2)^2	$p (x) = {(2 x - 1)}^{3} {(x - 2)}^{2}$
175697	Find All Complex Solutions	2+2sin(theta)=4cos(theta)^2	$2 + 2 \sin (θ) = 4 \cos^{2} (θ)$
175698	Simplify	4n(3n^2+n-4)-n(3-n)	$4 n (3 n^{2} + n - 4) - n (3 - n)$
175699	Evaluate	1*(-4+(-8))	$1 \cdot (- 4 + (- 8))$
175700	Simplify	6(x^17)^(1/6)*(8x)^(2/3)	$6 {(x^{17})}^{\frac{1}{6}} \cdot {(8 x)}^{\frac{2}{3}}$