Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
163701	Find the Holes in the Graph	f(x)=(x^2+2x+1)/(2x+2)	$f (x) = \frac{x^{2} + 2 x + 1}{2 x + 2}$
163702	Solve for k	(5(k+2)-7)/6=(13-(4-k))/9	$\frac{5 (k + 2) - 7}{6} = \frac{13 - (4 - k)}{9}$
163703	Simplify	((3x^2)/(3x))÷((x^2-9)/(x^2-10x+21))	$\frac{3 x^{2}}{3 x} \div \frac{x^{2} - 9}{x^{2} - 10 x + 21}$
163704	Graph Using a Table of Values	f(x) = square root of x-4	$f (x) = \sqrt{x - 4}$
163705	Solve for v	s=1/2at^2+vt	$s = \frac{1}{2} a t^{2} + v t$
163706	Solve for r	6r=3(4-2r)	$6 r = 3 (4 - 2 r)$
163707	Solve for g	-g+2(3+g)=-4(g+1)	$- g + 2 (3 + g) = - 4 (g + 1)$
163708	Solve for b	N=-m^2+(3d)/b	$N = - m^{2} + \frac{3 d}{b}$
163709	Find the x and y Intercepts	(x+5)(x-3)=y	$(x + 5) (x - 3) = y$
163710	Subtract	3/2-3	$\frac{3}{2} - 3$
163711	Find the Holes in the Graph	f(x)=(3x^2+6x)/(2x^2)	$f (x) = \frac{3 x^{2} + 6 x}{2 x^{2}}$
163712	Evaluate	a=1/2h(b_1+b_2)	$a = \frac{1}{2} h (b_{1} + b_{2})$
163713	Find the Distance Between Two Points	(-2,6) and (7,3)	$(- 2, 6)$ and $(7, 3)$
163714	Write in Standard Form	2-8x-(x^2)/5	$2 - 8 x - \frac{x^{2}}{5}$
163715	Solve for a	q^3=-m+f/a	$q^{3} = - m + \frac{f}{a}$
163716	Find the Function	f(x)=x^2+2x+1	$f (x) = x^{2} + 2 x + 1$
163717	Simplify	(x^2+5x-6)/(x^2-9x+8)*(x^2)/(3x+18)	$\frac{x^{2} + 5 x - 6}{x^{2} - 9 x + 8} \cdot \frac{x^{2}}{3 x + 18}$
163718	Rationalize the Denominator	(15 square root of 6)/(3 square root of 5)	$\frac{15 \sqrt{6}}{3 \sqrt{5}}$
163719	Solve for x	30x-(-x+6)+(-5x+4)=-(5x+6)+(-8+3x)	$30 x - (- x + 6) + (- 5 x + 4) = - (5 x + 6) + (- 8 + 3 x)$
163720	Evaluate	((8)(-7)(6))/((-4)(-2)(-3))	$\frac{(8) (- 7) (6)}{(- 4) (- 2) (- 3)}$
163721	Evaluate	sin(theta)=-( square root of 3)/2	$\sin (θ) = - \frac{\sqrt{3}}{2}$
163722	Simplify	(6ab)/((a^0b^2)^4)	$\frac{6 a b}{{(a^{0} b^{2})}^{4}}$
163723	Find the Roots (Zeros)	P(x)=x^4-3x^3+2x^2	$P (x) = x^{4} - 3 x^{3} + 2 x^{2}$
163724	Solve for x	2(3x+3)-4(5x-3)=x(x-3)-x(x+5)	$2 (3 x + 3) - 4 (5 x - 3) = x (x - 3) - x (x + 5)$
163725	Find the Holes in the Graph	f(x)=(-2x-6)/(x+3)	$f (x) = \frac{- 2 x - 6}{x + 3}$
163726	Write in Standard Form	-7x^3-1-1/9x	$- 7 x^{3} - 1 - \frac{1}{9} x$
163727	Simplify	(x^2-9)/(x-3)*(2x^2-2)/(x^2+4x+3)	$\frac{x^{2} - 9}{x - 3} \cdot \frac{2 x^{2} - 2}{x^{2} + 4 x + 3}$
163728	Simplify	((x^2)/(x^2-x-42))÷((5x)/(x^2-36))	$\frac{x^{2}}{x^{2} - x - 42} \div \frac{5 x}{x^{2} - 36}$
163729	Solve for a	(2a-6)(3a+15)=0	$(2 a - 6) (3 a + 15) = 0$
163730	Evaluate	(5!)/(4!(5-4)!)	$\frac{5!}{4! (5 - 4)!}$
163731	Find the Product	(x-5)^3	${(x - 5)}^{3}$
163732	Solve the System of Equations	8x+5y=24 y=-4x	$8 x + 5 y = 24$ $y = - 4 x$
163733	Solve for k	-3(k-8)-(k+5)=23	$- 3 (k - 8) - (k + 5) = 23$
163734	Solve for n	n/(n-3)=2/3	$\frac{n}{n - 3} = \frac{2}{3}$
163735	Simplify	(8x^2y)/(x^7y^5)	$\frac{8 x^{2} y}{x^{7} y^{5}}$
163736	Solve for x	9(2x+1/3)=39	$9 (2 x + \frac{1}{3}) = 39$
163737	Solve for b	Db^2-4g=m	$D b^{2} - 4 g = m$
163738	Write in Standard Form	f(x)=3x^2+5x-7	$f (x) = 3 x^{2} + 5 x - 7$
163739	Solve the Inequality for n	9n+10>=10n+1	$9 n + 10 \geq 10 n + 1$
163740	Solve for b	\|b/5\|=1	$\| \frac{b}{5} \| = 1$
163741	Graph	3x+2y>=-2 x+2y<=2	$3 x + 2 y \geq - 2$ $x + 2 y \leq 2$
163742	Graph	g(x)=6-(1/3)^x	$g (x) = 6 - {(\frac{1}{3})}^{x}$
163743	Solve for x	x/5=15+x/3	$\frac{x}{5} = 15 + \frac{x}{3}$
163744	Solve for x	square root of x+3=2x	$\sqrt{x + 3} = 2 x$
163745	Simplify	((x^2y^-2)^-3)/((x^-2y)^-2)	$\frac{{(x^{2} y^{- 2})}^{- 3}}{{(x^{- 2} y)}^{- 2}}$
163746	Solve the System of Inequalities	0.36w<=0.54 and -1/2w>3	$0.36 w \leq 0.54$ and $- \frac{1}{2} w > 3$
163747	Find the Product	(4k+2)/(k^2-4)*(k-2)/(2k+1)	$\frac{4 k + 2}{k^{2} - 4} \cdot \frac{k - 2}{2 k + 1}$
163748	Evaluate	sin(theta)^2+cos(theta)^2=1	$\sin^{2} (θ) + \cos^{2} (θ) = 1$
163749	Simplify	(x^4+8x^3)/(8x)*(x^2-9)/(x^2+11x+24)	$\frac{x^{4} + 8 x^{3}}{8 x} \cdot \frac{x^{2} - 9}{x^{2} + 11 x + 24}$
163750	Solve for a	b^2=-g+1/8ra	$b^{2} = - g + \frac{1}{8} r a$
163751	Solve for x	x-3/(x+3)=x/(x+3)	$x - \frac{3}{x + 3} = \frac{x}{x + 3}$
163752	Solve for x	0.75(8+x)=2-1.25x	$0.75 (8 + x) = 2 - 1.25 x$
163753	Solve for x	(2x-7)/4=(x+3)/3	$\frac{2 x - 7}{4} = \frac{x + 3}{3}$
163754	Divide	(6/(k-4))÷((k+6)/(k^2+2k-24))	$\frac{6}{k - 4} \div \frac{k + 6}{k^{2} + 2 k - 24}$
163755	Solve for x	x/(x+1)-3=-1/(x+1)	$\frac{x}{x + 1} - 3 = - \frac{1}{x + 1}$
163756	Find the Holes in the Graph	f(x)=(-5x+10)/(x^2-2x)	$f (x) = \frac{- 5 x + 10}{x^{2} - 2 x}$
163757	Solve the Inequality for y	-4y<=-32	$- 4 y \leq - 32$
163758	Solve for x	2x^2+x=0	$2 x^{2} + x = 0$
163759	Graph Using a Table of Values	f(x)=-2x	$f (x) = - 2 x$
163760	Solve for c	-c/1.9-3.4=-2.4	$- \frac{c}{1.9} - 3.4 = - 2.4$
163761	Factor	factoring 4x^2+20x+16	factoring $4 x^{2} + 20 x + 16$
163762	Simplify	-5((x^3+1)(x+4))	$- 5 ((x^{3} + 1) (x + 4))$
163763	Divide	(7/8)÷(-9/5)	$\frac{7}{8} \div (- \frac{9}{5})$
163764	Solve for x	7/12+9/(x-4)=55/48	$\frac{7}{12} + \frac{9}{x - 4} = \frac{55}{48}$
163765	Solve for k	2k-3(2k-3)=45	$2 k - 3 (2 k - 3) = 45$
163766	Solve the Inequality for x	(2x+10)/(x+3)>=1	$\frac{2 x + 10}{x + 3} \geq 1$
163767	Solve for x	x^2-x-8=-3x	$x^{2} - x - 8 = - 3 x$
163768	Solve for m	7(2m+3)-5m=2(4m+8)+9	$7 (2 m + 3) - 5 m = 2 (4 m + 8) + 9$
163769	Simplify	(x/3-6)/(10+4/x)	$\frac{\frac{x}{3} - 6}{10 + \frac{4}{x}}$
163770	Simplify	1/(x+3)-5x	$\frac{1}{x + 3} - 5 x$
163771	Solve for h	11h-(2h-1)=118	$11 h - (2 h - 1) = 118$
163772	Solve for x	natural log of x+6- natural log of 2x-1=0	$\ln (x + 6) - \ln (2 x - 1) = 0$
163773	Simplify the Radical Expression	cube root of -64	$\sqrt[3]{- 64}$
163774	Simplify	8xy(x^3y)	$8 x y (x^{3} y)$
163775	Simplify	(x+9)/(x-1)*(x^2-7x+6)/(x^2+3x-54)	$\frac{x + 9}{x - 1} \cdot \frac{x^{2} - 7 x + 6}{x^{2} + 3 x - 54}$
163776	Find the Third Term	2n^2	$2 n^{2}$
163777	Determine if Perpendicular	y=-2x+1 , y=1/2x+4	$y = - 2 x + 1$ , $y = \frac{1}{2} x + 4$
163778	Simplify	square root of -1* square root of -1	$\sqrt{- 1} \cdot \sqrt{- 1}$
163779	Solve for d	2n^2d=fd+m	$2 n^{2} d = f d + m$
163780	Find the Exact Value	6/2(1+2)	$\frac{6}{2} (1 + 2)$
163781	Find the Holes in the Graph	f(x)=(5x^2+20x)/(3x+12)	$f (x) = \frac{5 x^{2} + 20 x}{3 x + 12}$
163782	Solve for x	x/(x+8)+5=-8/(x+8)	$\frac{x}{x + 8} + 5 = - \frac{8}{x + 8}$
163783	Simplify	-6xy^2-xy^2-3xy^2	$- 6 x y^{2} - x y^{2} - 3 x y^{2}$
163784	Solve for x	3(x+1)^2-15=-12	$3 {(x + 1)}^{2} - 15 = - 12$
163785	Solve the System of Inequalities	y>2x y>7	$y > 2 x$ $y > 7$
163786	Graph	[0,2pi]	$[0, 2 π]$
163787	Solve the Inequality for x	(x+1)(x-3)^2>0	$(x + 1) {(x - 3)}^{2} > 0$
163788	Solve for P	6Q=14-2P	$6 Q = 14 - 2 P$
163789	Simplify	(8xy^2)/(12x^2y)	$\frac{8 x y^{2}}{12 x^{2} y}$
163790	Solve for x	(x+4)/(6x)=1/x	$\frac{x + 4}{6 x} = \frac{1}{x}$
163791	Graph	y=cos(pi/12x)+6	$y = \cos (\frac{π}{12} x) + 6$
163792	Write in Standard Form	9-x^2+1/6x	$9 - x^{2} + \frac{1}{6} x$
163793	Simplify	4+ square root of -25	$4 + \sqrt{- 25}$
163794	Write in Standard Form	-2x^3+1/7+x^4-x^2	$- 2 x^{3} + \frac{1}{7} + x^{4} - x^{2}$
163795	Multiply	-x*-1	$- x \cdot - 1$
163796	Simplify	(3x^4+y^5)^2	${(3 x^{4} + y^{5})}^{2}$
163797	Solve for x	(3x-2)^2-4=9x-6	${(3 x - 2)}^{2} - 4 = 9 x - 6$
163798	Simplify	(-1/2 square root of 2)(-6 square root of 18)	$(- \frac{1}{2} \sqrt{2}) (- 6 \sqrt{18})$
163799	Simplify	( square root of 3)/( square root of 3- square root of x)	$\frac{\sqrt{3}}{\sqrt{3} - \sqrt{x}}$
163800	Solve for z	3z+8w-1=-3-11w-2z	$3 z + 8 w - 1 = - 3 - 11 w - 2 z$