Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
165601	Simplify	((x^2y^4z)^5)/((xy)^2)	$\frac{{(x^{2} y^{4} z)}^{5}}{{(x y)}^{2}}$
165602	Solve for w	x=w/a	$x = \frac{w}{a}$
165603	Solve the Inequality for f	5f+3(-8f-9)<=-8f-1-4	$5 f + 3 (- 8 f - 9) \leq - 8 f - 1 - 4$
165604	Multiply	5*(-1/2)	$5 \cdot (- \frac{1}{2})$
165605	Find the Function	f(x)=2x^2-3x	$f (x) = 2 x^{2} - 3 x$
165606	Solve for y	w=z/(3y-x)	$w = \frac{z}{3 y - x}$
165607	Solve the Inequality for n	-1<9+n<17	$- 1 < 9 + n < 17$
165608	Find the x and y Intercepts	(x-2)(-x-4)=y	$(x - 2) (- x - 4) = y$
165609	Solve for x	(5x)/6-1/2=1/3	$\frac{5 x}{6} - \frac{1}{2} = \frac{1}{3}$
165610	Solve the Inequality for p	2p-3>p+6	$2 p - 3 > p + 6$
165611	Find All Complex Solutions	cos(2x)+sin(x)=0	$\cos (2 x) + \sin (x) = 0$
165612	Identify the Conic	y=12x^2-5	$y = 12 x^{2} - 5$
165613	Solve for z	z/0.5-3.7=-6.7	$\frac{z}{0.5} - 3.7 = - 6.7$
165614	Find the Volume	sphere (8cm)	 $\begin{array}{r} r = & 8 cm \end{array}$
165615	Find the Exact Value	square root of -2	$\sqrt{- 2}$
165616	Solve the Inequality for z	19>=3z+1>=-5	$19 \geq 3 z + 1 \geq - 5$
165617	Simplify	square root of 48+ square root of 24-3 square root of 12	$\sqrt{48} + \sqrt{24} - 3 \sqrt{12}$
165618	Solve for a	(x^2)^(3/2)=x^a	${(x^{2})}^{\frac{3}{2}} = x^{a}$
165619	Subtract	3x^2+8x from -9x^2+3x-8	$3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$
165620	Solve for x	-(x-1)+10=-3(x-2)	$- (x - 1) + 10 = - 3 (x - 2)$
165621	Solve for z	-0.2=1.8+z/0.2	$- 0.2 = 1.8 + \frac{z}{0.2}$
165622	Solve for x	-15x-8x-6x+16x-15=11	$- 15 x - 8 x - 6 x + 16 x - 15 = 11$
165623	Find the x and y Intercepts	-2	$- 2$
165624	Solve for x	(x+2)/(x-4)-1/x=4/(x^2-4x)	$\frac{x + 2}{x - 4} - \frac{1}{x} = \frac{4}{x^{2} - 4 x}$
165625	Simplify	(7x+2)/(x-6)+5/(6-x)	$\frac{7 x + 2}{x - 6} + \frac{5}{6 - x}$
165626	Solve for θ	sin(2theta)+cos(theta)=0	$\sin (2 θ) + \cos (θ) = 0$
165627	Solve for x	3/2+1/x=2	$\frac{3}{2} + \frac{1}{x} = 2$
165628	Solve the Inequality for f	-7f-5(-8f+10)<-4f-3-3	$- 7 f - 5 (- 8 f + 10) < - 4 f - 3 - 3$
165629	Graph Using a Table of Values	f(x)=-3	$f (x) = - 3$
165630	Simplify	-3w-3x-7w+4x-2w	$- 3 w - 3 x - 7 w + 4 x - 2 w$
165631	Find the Exact Value	sin(-105 degrees )	$\sin (- 105 °)$
165632	Solve the Inequality for n	10n-(n+1)<-2n-6-8n	$10 n - (n + 1) < - 2 n - 6 - 8 n$
165633	Solve for x	- square root of x=5	$- \sqrt{x} = 5$
165634	Solve the Inequality for x	-7x+7<=-56	$- 7 x + 7 \leq - 56$
165635	Graph	F(x)=1/((x-1)(x+1))	$F (x) = \frac{1}{(x - 1) (x + 1)}$
165636	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-49=0	$x^{2} - 49 = 0$
165637	Write in Standard Form	x^2-25=0	$x^{2} - 25 = 0$
165638	Solve the Inequality for t	10t-4(t+6)<=-10t-3-10	$10 t - 4 (t + 6) \leq - 10 t - 3 - 10$
165639	Solve for x	4x+x-3-9+4x=6	$4 x + x - 3 - 9 + 4 x = 6$
165640	Factor	9a^5b-12a^2b^3+15ab^2-18a^3b^4	$9 a^{5} b - 12 a^{2} b^{3} + 15 a b^{2} - 18 a^{3} b^{4}$
165641	Solve for x	(5x)/7=(2x-4)/3	$\frac{5 x}{7} = \frac{2 x - 4}{3}$
165642	Find the Inverse	y=(1/3)^x	$y = {(\frac{1}{3})}^{x}$
165643	Evaluate Using the Given Value	(5x)/(3x-9) , x=4	$\frac{5 x}{3 x - 9}$ , $x = 4$
165644	Solve the Inequality for x	(1+x)/(1-x)>=1	$\frac{1 + x}{1 - x} \geq 1$
165645	Solve for x	9+7x=7x^2	$9 + 7 x = 7 x^{2}$
165646	Solve the Inequality for x	4^(3x+2)<64	$4^{3 x + 2} < 64$
165647	Solve the Inequality for x	-2(3x-1)<8	$- 2 (3 x - 1) < 8$
165648	Solve the Absolute Value Inequality for x	4-\|x\|=1	$4 - \| x \| = 1$
165649	Solve for w	2(4w-1)=-10(w-3)+4	$2 (4 w - 1) = - 10 (w - 3) + 4$
165650	Find the Domain and Range	f(x)=1/3\|x\|-7	$f (x) = \frac{1}{3} \| x \| - 7$
165651	Find the Midpoint	(-7,4) and (0,-5)	$(- 7, 4)$ and $(0, - 5)$
165652	Graph	((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1	$\frac{{(x - h)}^{2}}{a^{2}} + \frac{{(y - k)}^{2}}{b^{2}} = 1$
165653	Find the Exact Value	(2^2)^3	${(2^{2})}^{3}$
165654	Find the Focus	(y+5/2)^2=-5(x-9/2)	${(y + \frac{5}{2})}^{2} = - 5 (x - \frac{9}{2})$
165655	Evaluate	x*x^2	$x \cdot x^{2}$
165656	Solve for x	x/0.1-2.1=0.9	$\frac{x}{0.1} - 2.1 = 0.9$
165657	Simplify	((x^2+x-6)/(x^2+5x+6))÷((x-6)/(x+2))	$\frac{x^{2} + x - 6}{x^{2} + 5 x + 6} \div \frac{x - 6}{x + 2}$
165658	Graph	y=- square root of 4-x^2	$y = - \sqrt{4 - x^{2}}$
165659	Simplify	square root of (3+4i)(4i-3)	$\sqrt{(3 + 4 i) (4 i - 3)}$
165660	Combine Like Terms	8c^2-c+3+2c^2-c+2	$8 c^{2} - c + 3 + 2 c^{2} - c + 2$
165661	Simplify	square root of 3/16* square root of 3/9	$\sqrt{\frac{3}{16}} \cdot \sqrt{\frac{3}{9}}$
165662	Solve for p	2h=w-3p	$2 h = w - 3 p$
165663	Solve for x	(3x+7)^2=-6x-14	${(3 x + 7)}^{2} = - 6 x - 14$
165664	Simplify	(4(h^4)^4)/(12h)	$\frac{4 {(h^{4})}^{4}}{12 h}$
165665	Solve Using the Quadratic Formula	1/3u^2+2/3u=-1/12	$\frac{1}{3} u^{2} + \frac{2}{3} u = - \frac{1}{12}$
165666	Find the Holes in the Graph	f(x)=(x^2-4)/(2x^2-11x+14)	$f (x) = \frac{x^{2} - 4}{2 x^{2} - 11 x + 14}$
165667	Solve Using the Quadratic Formula	2x(x+5)+10=0	$2 x (x + 5) + 10 = 0$
165668	Solve for x	3/-2x-4=20	$\frac{3}{- 2} x - 4 = 20$
165669	Find All Complex Solutions	2cos(x)^2+cos(x)=1	$2 \cos^{2} (x) + \cos (x) = 1$
165670	Solve for a	-16-7(2a+3)=23-2a	$- 16 - 7 (2 a + 3) = 23 - 2 a$
165671	Simplify	64^(3/6)	$64^{\frac{3}{6}}$
165672	Simplify	-8/(3+ square root of 17)	$\frac{- 8}{3 + \sqrt{17}}$
165673	Simplify	(2/3)÷(2^4)+(3/4+1/6)÷(1/3)	$\frac{2}{3} \div 2^{4} + (\frac{3}{4} + \frac{1}{6}) \div \frac{1}{3}$
165674	Solve the Inequality for c	1+4(8c-6)<-6c-10-1	$1 + 4 (8 c - 6) < - 6 c - 10 - 1$
165675	Simplify	(-5/(x+1)-4/(x-7))/(-6/(x-7))	$\frac{- \frac{5}{x + 1} - \frac{4}{x - 7}}{- \frac{6}{x - 7}}$
165676	Solve the System of Inequalities	-6x+14<-28 and 3x+28<=25	$- 6 x + 14 < - 28$ and $3 x + 28 \leq 25$
165677	Graph	y=f(0)	$y = f (0)$
165678	Solve for n	-2 4/5=-3 1/2n	$- 2 \frac{4}{5} = - 3 \frac{1}{2} n$
165679	Find the LCD	3/(5x-10) and (5x)/(4x-8)	$\frac{3}{5 x - 10}$ and $\frac{5 x}{4 x - 8}$
165680	Solve for x	x^2=-8x-7	$x^{2} = - 8 x - 7$
165681	Solve the Inequality for c	-7c-2(3c-6)<=-7c+8+4	$- 7 c - 2 (3 c - 6) \leq - 7 c + 8 + 4$
165682	Combine Like Terms	-2y+14-9y+5	$- 2 y + 14 - 9 y + 5$
165683	Solve for T	PV=nRT for T	$P V = n R T$ for $T$
165684	Find the Exact Value	sin(105 degrees )-sin(15 degrees )	$\sin (105 °) - \sin (15 °)$
165685	Simplify	7x+5-1/(x+6)	$7 x + 5 - \frac{1}{x + 6}$
165686	Solve for d	d-2.8÷0.2=-14	$d - 2.8 \div 0.2 = - 14$
165687	Simplify	(2x+1)/(6x^2)-(7x-2)/(6x^2)	$\frac{2 x + 1}{6 x^{2}} - \frac{7 x - 2}{6 x^{2}}$
165688	Solve for x	-3(4/3x-2)=2(x+15)	$- 3 (\frac{4}{3} x - 2) = 2 (x + 15)$
165689	Find the Roots (Zeros)	x^2-3=0	$x^{2} - 3 = 0$
165690	Solve the Rational Equation for x	(5x)/6-1/2=1/3	$\frac{5 x}{6} - \frac{1}{2} = \frac{1}{3}$
165691	Solve for x	3x+4/5=7-2x	$3 x + \frac{4}{5} = 7 - 2 x$
165692	Solve the Inequality for b	-1-(3b-10)<=2b-2-9b	$- 1 - (3 b - 10) \leq 2 b - 2 - 9 b$
165693	Solve the Inequality for x	5x-7>=8	$5 x - 7 \geq 8$
165694	Evaluate	5-((3)(2)-4+2)	$5 - ((3) (2) - 4 + 2)$
165695	Graph	f(x)=2a^x	$f (x) = 2 a^{x}$
165696	Solve for x₁	m=(x_1+x_2)/2	$m = \frac{x_{1} + x_{2}}{2}$
165697	Graph	y=-f(x)+2	$y = - f (x) + 2$
165698	Solve Using the Quadratic Formula	3x^2-12x+11=x	$3 x^{2} - 12 x + 11 = x$
165699	Graph	h(x)=-6,-9<=x<-4; 1,-3<=x<2; 4,3<=x<8	$h (x) = {\begin{cases} - 6, - 9 \leq x < - 4 \\ 1, - 3 \leq x < 2 \\ 4, 3 \leq x < 8 \end{cases}$
165700	Solve for G	square root of 4G-N^2=T	$\sqrt{4 G - N^{2}} = T$