Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
163801	Graph	[0,2pi]	$[0, 2 π]$
163802	Solve the Inequality for x	(x+1)(x-3)^2>0	$(x + 1) {(x - 3)}^{2} > 0$
163803	Solve for P	6Q=14-2P	$6 Q = 14 - 2 P$
163804	Simplify	(8xy^2)/(12x^2y)	$\frac{8 x y^{2}}{12 x^{2} y}$
163805	Solve for x	(x+4)/(6x)=1/x	$\frac{x + 4}{6 x} = \frac{1}{x}$
163806	Graph	y=cos(pi/12x)+6	$y = \cos (\frac{π}{12} x) + 6$
163807	Write in Standard Form	9-x^2+1/6x	$9 - x^{2} + \frac{1}{6} x$
163808	Simplify	4+ square root of -25	$4 + \sqrt{- 25}$
163809	Write in Standard Form	-2x^3+1/7+x^4-x^2	$- 2 x^{3} + \frac{1}{7} + x^{4} - x^{2}$
163810	Multiply	-x*-1	$- x \cdot - 1$
163811	Simplify	(3x^4+y^5)^2	${(3 x^{4} + y^{5})}^{2}$
163812	Solve for x	(3x-2)^2-4=9x-6	${(3 x - 2)}^{2} - 4 = 9 x - 6$
163813	Simplify	(-1/2 square root of 2)(-6 square root of 18)	$(- \frac{1}{2} \sqrt{2}) (- 6 \sqrt{18})$
163814	Simplify	( square root of 3)/( square root of 3- square root of x)	$\frac{\sqrt{3}}{\sqrt{3} - \sqrt{x}}$
163815	Solve for z	3z+8w-1=-3-11w-2z	$3 z + 8 w - 1 = - 3 - 11 w - 2 z$
163816	Find the Product	(x-3)(2x^2-5x+1)	$(x - 3) (2 x^{2} - 5 x + 1)$
163817	Graph	y<=x+3 y>=-2x-2	$y \leq x + 3$ $y \geq - 2 x - 2$
163818	Simplify	(-2y^-1)^6	${(- 2 y^{- 1})}^{6}$
163819	Evaluate	4pi*8^2	$4 π \cdot 8^{2}$
163820	Solve for x	2x-7x^(1/2)=15	$2 x - 7 x^{\frac{1}{2}} = 15$
163821	Write in Standard Form	5x+7+1/8x^2	$5 x + 7 + \frac{1}{8} x^{2}$
163822	Write in Standard Form	-(x^5)/7-5+x^2	$- \frac{x^{5}}{7} - 5 + x^{2}$
163823	Find All Complex Solutions	x^2=36	$x^{2} = 36$
163824	Evaluate	8(-3-2+5)+5(-8+9-3)-(6(-9))	$8 (- 3 - 2 + 5) + 5 (- 8 + 9 - 3) - (6 (- 9))$
163825	Combine Like Terms	-3(10b+10)+5(b+2)	$- 3 (10 b + 10) + 5 (b + 2)$
163826	Write in Standard Form	-7-1/8x-x^2	$- 7 - \frac{1}{8} x - x^{2}$
163827	Solve for x	10/3=x/(-5/2)	$\frac{10}{3} = \frac{x}{(- \frac{5}{2})}$
163828	Simplify	((m^2)/(m^(1/3)))^(-1/2)	${(\frac{m^{2}}{m^{\frac{1}{3}}})}^{- \frac{1}{2}}$
163829	Simplify	3x^5-2x+4-x^5+x^2	$3 x^{5} - 2 x + 4 - x^{5} + x^{2}$
163830	Simplify	(x^4y^3z^8)/(x^2z^5)	$\frac{x^{4} y^{3} z^{8}}{x^{2} z^{5}}$
163831	Subtract	(4n^4-8n+4)-(8n^2+4n^4+1)	$(4 n^{4} - 8 n + 4) - (8 n^{2} + 4 n^{4} + 1)$
163832	Graph Using a Table of Values	f(x) = square root of x-1	$f (x) = \sqrt{x - 1}$
163833	Solve for n	8(-n-18)+37=-8(-4n-8)-11	$8 (- n - 18) + 37 = - 8 (- 4 n - 8) - 11$
163834	Factor	5y(2x+7)+4(2x+7)	$5 y (2 x + 7) + 4 (2 x + 7)$
163835	Solve the System of Equations	y=-3x^2+2 and y=3	$y = - 3 x^{2} + 2$ and $y = 3$
163836	Write the Fraction in Simplest Form	1/2+1/4	$\frac{1}{2} + \frac{1}{4}$
163837	Solve the Inequality for x	(x-4)(x+1)(x-6)^2>=0	$(x - 4) (x + 1) {(x - 6)}^{2} \geq 0$
163838	Simplify	(3x^2-12x+12)/(6x^2-24)	$\frac{3 x^{2} - 12 x + 12}{6 x^{2} - 24}$
163839	Solve for t	t÷(5/12)=-3/10	$t \div \frac{5}{12} = - \frac{3}{10}$
163840	Factor	x(3y-5)+3(3y-5)	$x (3 y - 5) + 3 (3 y - 5)$
163841	Solve for p	5(2p-4(p+5))=25	$5 (2 p - 4 (p + 5)) = 25$
163842	Simplify	((x^2-1)/(9x))÷((x^2+7x-8)/(4x))	$\frac{x^{2} - 1}{9 x} \div \frac{x^{2} + 7 x - 8}{4 x}$
163843	Simplify	a^(1/3)+2/(a^(2/3))	$a^{\frac{1}{3}} + \frac{2}{a^{\frac{2}{3}}}$
163844	Solve for x	x-(2x+3)/(x+3)=3/(x+3)	$x - \frac{2 x + 3}{x + 3} = \frac{3}{x + 3}$
163845	Evaluate	(x^27y)^(1/3)	${(x^{27} y)}^{\frac{1}{3}}$
163846	Solve for x	(x^2-2)^2-10(x^2-2)+21=0	${(x^{2} - 2)}^{2} - 10 (x^{2} - 2) + 21 = 0$
163847	Combine Like Terms	2(3y+6)-3(-4-y)	$2 (3 y + 6) - 3 (- 4 - y)$
163848	Find All Complex Solutions	2sin(x)^2+sin(x)=1	$2 \sin^{2} (x) + \sin (x) = 1$
163849	Simplify	(5x)/(x-6)+1/(6-x)	$\frac{5 x}{x - 6} + \frac{1}{6 - x}$
163850	Find the Holes in the Graph	f(x)=(x^2-81)/(x-9)	$f (x) = \frac{x^{2} - 81}{x - 9}$
163851	Write in Standard Form	-2+1/3x^2-x	$- 2 + \frac{1}{3} x^{2} - x$
163852	Find the Inverse	y=(e^(x^8))/2	$y = \frac{e^{x^{8}}}{2}$
163853	Evaluate	(-7c+8d)*0.6	$(- 7 c + 8 d) \cdot 0.6$
163854	Solve for x	2^(1-x^2)=1/8	$2^{1 - x^{2}} = \frac{1}{8}$
163855	Solve the Inequality for x	(x+2)(x-7)(x-13)>0	$(x + 2) (x - 7) (x - 13) > 0$
163856	Combine Like Terms	5(10k+1)+2(2+8k)	$5 (10 k + 1) + 2 (2 + 8 k)$
163857	Combine Like Terms	-5(3p+3)+9(-7+p)	$- 5 (3 p + 3) + 9 (- 7 + p)$
163858	Simplify	3x-2x+x^2+x	$3 x - 2 x + x^{2} + x$
163859	Simplify	( square root of 8x^2)÷( square root of 3x)	$\sqrt{8 x^{2}} \div \sqrt{3 x}$
163860	Solve the Inequality for x	-x/4<7	$- \frac{x}{4} < 7$
163861	Graph	y=-1/(x^2)+4	$y = - \frac{1}{x^{2}} + 4$
163862	Solve the System of Inequalities	3x-4<-13 or 7x+1>22	$3 x - 4 < - 13$ or $7 x + 1 > 22$
163863	Simplify	( cube root of 64)^2	${(\sqrt[3]{64})}^{2}$
163864	Write in Standard Form	( square root of -75)^2	${(\sqrt{- 75})}^{2}$
163865	Find the Holes in the Graph	f(x)=(2x^2+6x)/(-4x^2+8x)	$f (x) = \frac{2 x^{2} + 6 x}{- 4 x^{2} + 8 x}$
163866	Solve the System of Inequalities	-16>=-3x-4>-31	$- 16 \geq - 3 x - 4 > - 31$
163867	Graph	(-5,infinity)	$(- 5, \infty)$
163868	Evaluate	pi*3	$π \cdot 3$
163869	Graph	f(x)=x^3+x^2-2x	$f (x) = x^{3} + x^{2} - 2 x$
163870	Graph	y<3x+2 and 2y<=6x-4	$y < 3 x + 2$ and $2 y \leq 6 x - 4$
163871	Solve for t	-2=-4+t	$- 2 = - 4 + t$
163872	Graph	f(x)=1/2(x+1)(x-1)(x-2)^2	$f (x) = \frac{1}{2} (x + 1) (x - 1) {(x - 2)}^{2}$
163873	Simplify	7/8(4/5x+16)+3/5(1/2x-10)	$\frac{7}{8} (\frac{4}{5} x + 16) + \frac{3}{5} (\frac{1}{2} x - 10)$
163874	Simplify	(6d^6)/(2(d^5)^2)	$\frac{6 d^{6}}{2 {(d^{5})}^{2}}$
163875	Evaluate	f(x)=(1/3)^2	$f (x) = {(\frac{1}{3})}^{2}$
163876	Simplify	square root of 25/128	$\sqrt{\frac{25}{128}}$
163877	Subtract	6/8-1/4	$\frac{6}{8} - \frac{1}{4}$
163878	Simplify	x^5y^3(-9y^3)	$x^{5} y^{3} (- 9 y^{3})$
163879	Evaluate	natural log of e^3+ natural log of e^7	$\ln (e^{3}) + \ln (e^{7})$
163880	Solve the Inequality for x	(4x)/(3-x)>=4x	$\frac{4 x}{3 - x} \geq 4 x$
163881	Solve for x	2^9=2^(3x)	$2^{9} = 2^{3 x}$
163882	Solve for x	(8x)/(x+1)-2=-8/(x+1)	$\frac{8 x}{x + 1} - 2 = - \frac{8}{x + 1}$
163883	Simplify	(x^2-64)/(x^4-8x^3)	$\frac{x^{2} - 64}{x^{4} - 8 x^{3}}$
163884	Solve the System of Equations	x=6y+7 -x+7y=-9	$x = 6 y + 7$ $- x + 7 y = - 9$
163885	Multiply	3x*2x^2	$3 x \cdot 2 x^{2}$
163886	Factor	(6/x)^2-4+(2/x)^2-5x+6	${(\frac{6}{x})}^{2} - 4 + {(\frac{2}{x})}^{2} - 5 x + 6$
163887	Subtract	7/8-1/4-1/2	$\frac{7}{8} - \frac{1}{4} - \frac{1}{2}$
163888	Find the Inverse	f(x) = cube root of 8x+4	$f (x) = \sqrt[3]{8 x} + 4$
163889	Solve for x	1/3x+2=7x	$\frac{1}{3} x + 2 = 7 x$
163890	Convert to a Decimal	-2 1/2	$- 2 \frac{1}{2}$
163891	Solve for x	15=\|10-3x\|	$15 = \| 10 - 3 x \|$
163892	Write in Exponential Form	fourth root of x^2	$\sqrt[4]{x^{2}}$
163893	Solve for a	-Da+h^2=na	$- D a + h^{2} = n a$
163894	Simplify	(10 square root of 2)(- square root of -90)	$(10 \sqrt{2}) (- \sqrt{- 90})$
163895	Solve the Inequality for x	(x-1)/(x-2)<0	$\frac{x - 1}{x - 2} < 0$
163896	Solve for n	6-(8-4n)=2(2n-1)	$6 - (8 - 4 n) = 2 (2 n - 1)$
163897	Multiply	1/2*2x	$\frac{1}{2} \cdot 2 x$
163898	Subtract	(4x^2+x)-(x^2+2x)	$(4 x^{2} + x) - (x^{2} + 2 x)$
163899	Evaluate	12/4+2(1/2)-3	$\frac{12}{4} + 2 (\frac{1}{2}) - 3$
163900	Factor	2xy-6y+xz-3z	$2 x y - 6 y + x z - 3 z$