Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
161801	Find the Inverse	f(x)=-3 square root of x+2-6 , x>=-2	$f (x) = - 3 \sqrt{x + 2} - 6$ , $x \geq - 2$
161802	Graph	f(-x)=-f(x)	$f (- x) = - f (x)$
161803	Solve for a	f^2+h=ma	$f^{2} + h = m a$
161804	Combine Like Terms	9a+10(6a-1)	$9 a + 10 (6 a - 1)$
161805	Solve the Inequality for x	2x^2+5x-3>0	$2 x^{2} + 5 x - 3 > 0$
161806	Evaluate	natural log of e^2- natural log of e^11	$\ln (e^{2}) - \ln (e^{11})$
161807	Solve the Inequality for x	(x-3)/(x+1)>0	$\frac{x - 3}{x + 1} > 0$
161808	Multiply	1/2*-5	$\frac{1}{2} \cdot - 5$
161809	Solve the Inequality for x	-6>2/3x	$- 6 > \frac{2}{3} x$
161810	Solve the System of Inequalities	2x+2<8 or 12<2x+2	$2 x + 2 < 8$ or $12 < 2 x + 2$
161811	Solve for D	D(h^3+n)=t	$D (h^{3} + n) = t$
161812	Find the Roots (Zeros)	(x+5)^2+(x-2)^2=37	${(x + 5)}^{2} + {(x - 2)}^{2} = 37$
161813	Solve for m	4-m/2=10	$4 - \frac{m}{2} = 10$
161814	Divide	6÷(4/5)	$6 \div \frac{4}{5}$
161815	Solve for q	10/(2q+8)=10	$\frac{10}{2 q + 8} = 10$
161816	Find the Intersection of the Line Perpendicular to Plane 1 Through the Origin and Plane 2	x-y=4 , 4x-y=-5	$x - y = 4$ , $4 x - y = - 5$
161817	Rationalize the Denominator	1/(2- square root of 3)	$\frac{1}{2 - \sqrt{3}}$
161818	Solve the Inequality for d	3d-2<=-5d+9	$3 d - 2 \leq - 5 d + 9$
161819	Find the Product	(2a+b)^2	${(2 a + b)}^{2}$
161820	Factor	x^4-x^5y^2	$x^{4} - x^{5} y^{2}$
161821	Evaluate	7-(-19)-18+(-19)+18	$7 - (- 19) - 18 + (- 19) + 18$
161822	Solve for x	(11^x)/(11^3)=11^2	$\frac{11^{x}}{11^{3}} = 11^{2}$
161823	Evaluate	(a+b)(a-b)	$(a + b) (a - b)$
161824	Multiply	(4+x)(4-x)	$(4 + x) (4 - x)$
161825	Multiply	(m-7)(5m^2+m-5)	$(m - 7) (5 m^{2} + m - 5)$
161826	Solve for w	-1/2w-3/5=1/5w	$- \frac{1}{2} w - \frac{3}{5} = \frac{1}{5} w$
161827	Simplify	(4-2i)/(7+3i)	$\frac{4 - 2 i}{7 + 3 i}$
161828	Convert to Polar	y=x^2	$y = x^{2}$
161829	Evaluate	f(x)=(1/2)^-2	$f (x) = {(\frac{1}{2})}^{- 2}$
161830	Find the Product	(5x-3)(x^3-5x+2)	$(5 x - 3) (x^{3} - 5 x + 2)$
161831	Graph	y=1/2(x-4)^2-2	$y = \frac{1}{2} {(x - 4)}^{2} - 2$
161832	Solve the Inequality for n	-6<3n+9<21	$- 6 < 3 n + 9 < 21$
161833	Evaluate	i^-1	$i^{- 1}$
161834	Solve for s	\|2s-7\|>=-1	$\| 2 s - 7 \| \geq - 1$
161835	Graph	f(x)=-(x+1)(x-1)^2(x-2)	$f (x) = - (x + 1) {(x - 1)}^{2} (x - 2)$
161836	Factor	xy^4-y	$x y^{4} - y$
161837	Solve for y	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
161838	Simplify	3x^2+7xy+9x+(-8xy)+21x^2	$3 x^{2} + 7 x y + 9 x + (- 8 x y) + 21 x^{2}$
161839	Solve the Inequality for f	-f-9>=2f-1	$- f - 9 \geq 2 f - 1$
161840	Find the Holes in the Graph	f(x)=(4x-8)/(x^2-4x+4)	$f (x) = \frac{4 x - 8}{x^{2} - 4 x + 4}$
161841	Multiply	(9n-4/7z)^2	${(9 n - \frac{4}{7} z)}^{2}$
161842	Find the Holes in the Graph	f(x)=(-2x^2-4x)/(4x+8)	$f (x) = \frac{- 2 x^{2} - 4 x}{4 x + 8}$
161843	Evaluate	cube root of x^5y	$\sqrt[3]{x^{5} y}$
161844	Factor	(x^2-x-2)	$(x^{2} - x - 2)$
161845	Multiply	(3x^2)/2*2/(9x)	$\frac{3 x^{2}}{2} \cdot \frac{2}{9 x}$
161846	Factor	28+a^2-11a	$28 + a^{2} - 11 a$
161847	Simplify	-12-6p-(-2)	$- 12 - 6 p - (- 2)$
161848	Evaluate	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
161849	Find the x and y Intercepts	f(x)=(4x+16)/(x^2+x-12)	$f (x) = \frac{4 x + 16}{x^{2} + x - 12}$
161850	Find the Exact Value	sec(arccos(( square root of 3)/2))	$\sec (\arccos (\frac{\sqrt{3}}{2}))$
161851	Solve the System of Inequalities	14>=3x-7 or 3x-7>20	$14 \geq 3 x - 7$ or $3 x - 7 > 20$
161852	Simplify	(2x+5)/(x^2-64)-2/(x+8)	$\frac{2 x + 5}{x^{2} - 64} - \frac{2}{x + 8}$
161853	Solve Using the Quadratic Formula	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
161854	Solve for m	(18+4)+m=(5-3)m	$(18 + 4) + m = (5 - 3) m$
161855	Find the Perfect Square Trinomial	x^2+y^2	$x^{2} + y^{2}$
161856	Factor	xy^2+y	$x y^{2} + y$
161857	Simplify	17/3x+17-2/3x-15	$\frac{17}{3} x + 17 - \frac{2}{3} x - 15$
161858	Find the Holes in the Graph	f(x)=(2x^2+18x+40)/(3x^2+10x-25)	$f (x) = \frac{2 x^{2} + 18 x + 40}{3 x^{2} + 10 x - 25}$
161859	Solve the System of Inequalities	-5x-8<-53 and -63<-5x-8	$- 5 x - 8 < - 53$ and $- 63 < - 5 x - 8$
161860	Solve for b	(4b-8)/3=2b	$\frac{4 b - 8}{3} = 2 b$
161861	Solve for θ	cot(theta)+1=0	$\cot (θ) + 1 = 0$
161862	Solve for p	36-7p=-7(p-5)	$36 - 7 p = - 7 (p - 5)$
161863	Solve for c	\|4c+5\|>7	$\| 4 c + 5 \| > 7$
161864	Simplify	((16m^2)/(m^2+5))/((4m)/(3m^2+15))	$\frac{\frac{16 m^{2}}{m^{2} + 5}}{\frac{4 m}{3 m^{2} + 15}}$
161865	Solve for x	x/(x+2)+2/(x-2)=(x+6)/(x^2-4)	$\frac{x}{x + 2} + \frac{2}{x - 2} = \frac{x + 6}{x^{2} - 4}$
161866	Solve for w	A=-4w^2+64w	$A = - 4 w^{2} + 64 w$
161867	Evaluate	1/2(4)^(-1/2)	$\frac{1}{2} {(4)}^{- \frac{1}{2}}$
161868	Graph	3x^2=-12y	$3 x^{2} = - 12 y$
161869	Solve for a	t=(F^3+G)a	$t = (F^{3} + G) a$
161870	Solve for x	x-2=(4(x+1))/2	$x - 2 = \frac{4 (x + 1)}{2}$
161871	Find the Function	f(x)=x^4	$f (x) = x^{4}$
161872	Solve for m	5m+10p=20n	$5 m + 10 p = 20 n$
161873	Factor	xy+x^4y^5	$x y + x^{4} y^{5}$
161874	Simplify	5/(x+6)-3/(x^2+2x-24)	$\frac{5}{x + 6} - \frac{3}{x^{2} + 2 x - 24}$
161875	Solve the Rational Equation for x	square root of 2x+3+ square root of x-2=2	$\sqrt{2 x + 3} + \sqrt{x - 2} = 2$
161876	Solve for g	1/2g=H-Q^3	$\frac{1}{2} g = H - Q^{3}$
161877	Factor	x^4y^3-xy^2	$x^{4} y^{3} - x y^{2}$
161878	Find the Intersection of the Line Perpendicular to Plane 1 Through the Origin and Plane 2	4x-y=2 , 6x-2y=-1	$4 x - y = 2$ , $6 x - 2 y = - 1$
161879	Solve the Inequality for p	4p-1<=3p-10	$4 p - 1 \leq 3 p - 10$
161880	Find the Product	(2y)/(y-3)*(4y-12)/(2y+6)	$\frac{2 y}{y - 3} \cdot \frac{4 y - 12}{2 y + 6}$
161881	Simplify	(x-2)/(x^2+1)+(x+3)/(x^2+1)	$\frac{x - 2}{x^{2} + 1} + \frac{x + 3}{x^{2} + 1}$
161882	Solve for x	5(x-1)+16(2x+3)=3(2x-7)-x	$5 (x - 1) + 16 (2 x + 3) = 3 (2 x - 7) - x$
161883	Solve the Inequality for w	8w+8>=-10w-5	$8 w + 8 \geq - 10 w - 5$
161884	Simplify	9(3s-3t)-2t-10(8t+s)	$9 (3 s - 3 t) - 2 t - 10 (8 t + s)$
161885	Simplify the Radical Expression	square root of 9x^2	$\sqrt{9 x^{2}}$
161886	Solve the System of Inequalities	-3x-7<=11 and -10<-3x-7	$- 3 x - 7 \leq 11$ and $- 10 < - 3 x - 7$
161887	Find the Exact Value	(4^6)(4^5)	$(4^{6}) (4^{5})$
161888	Factor	xy-x^3	$x y - x^{3}$
161889	Simplify	(2 cube root of 12)(3 cube root of 2)	$(2 \sqrt[3]{12}) (3 \sqrt[3]{2})$
161890	Simplify	4^-2x^-1y^2	$4^{- 2} x^{- 1} y^{2}$
161891	Solve for x	11+ square root of 1-3x=15	$11 + \sqrt{1 - 3 x} = 15$
161892	Solve for r	-8/(r+6)=4	$\frac{- 8}{r + 6} = 4$
161893	Evaluate	-6-(-6)+7+(-4)+(-1)	$- 6 - (- 6) + 7 + (- 4) + (- 1)$
161894	Factor	x^4y-x^5y^5	$x^{4} y - x^{5} y^{5}$
161895	Solve for p	3p^2+12p=6	$3 p^{2} + 12 p = 6$
161896	Solve the Inequality for m	2m-6<3m+2	$2 m - 6 < 3 m + 2$
161897	Solve the Inequality for x	8(x/4-6)>=4	$8 (\frac{x}{4} - 6) \geq 4$
161898	Graph	f(x)=3x^0	$f (x) = 3 x^{0}$
161899	Solve the System of Inequalities	3x-2<22 or 3x-2>28	$3 x - 2 < 22$ or $3 x - 2 > 28$
161900	Solve for x	y=(2x-3)/3	$y = \frac{2 x - 3}{3}$