Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180901	Solve the Inequality for x	x^2+8x+12>=0	$x^{2} + 8 x + 12 \geq 0$
180902	Graph Using a Table of Values	y=\|x-5\|	$y = \| x - 5 \|$
180903	Graph	y=1/4(-x)^3+4	$y = \frac{1}{4} {(- x)}^{3} + 4$
180904	Multiply	(x-2)/(3x+9)*(2x+6)/(2x-4)	$\frac{x - 2}{3 x + 9} \cdot \frac{2 x + 6}{2 x - 4}$
180905	Find the Product	2s(s-4)	$2 s (s - 4)$
180906	Subtract	(3b)/(b^2-1)-(2b)/(b+1)	$\frac{3 b}{b^{2} - 1} - \frac{2 b}{b + 1}$
180907	Graph	f(x)=(x^2-3x-4)/(-4x+8)	$f (x) = \frac{x^{2} - 3 x - 4}{- 4 x + 8}$
180908	Solve for θ	square root of 3csc(theta)+2=0	$\sqrt{3} \csc (θ) + 2 = 0$
180909	Write in Standard Form	x^2-x+3=4x^2-5	$x^{2} - x + 3 = 4 x^{2} - 5$
180910	Simplify	(-5a^3-7a^2+3)+(-9a^3+5a^2+9)	$(- 5 a^{3} - 7 a^{2} + 3) + (- 9 a^{3} + 5 a^{2} + 9)$
180911	Write in Standard Form	13+8x=-2x^2	$13 + 8 x = - 2 x^{2}$
180912	Solve for x	5x+12+3x=8x-5	$5 x + 12 + 3 x = 8 x - 5$
180913	Convert to Radical Form	(16 square root of x^3)^(1/4)	${(16 \sqrt{x^{3}})}^{\frac{1}{4}}$
180914	Simplify	3/4(3x+6)-1/4(5x-24)	$\frac{3}{4} (3 x + 6) - \frac{1}{4} (5 x - 24)$
180915	Solve by Substitution	y=5x y=-x+30	$y = 5 x$ $y = - x + 30$
180916	Simplify the Radical Expression	cube root of x^10	$\sqrt[3]{x^{10}}$
180917	Graph	y=3/2cos(x+pi/2)	$y = \frac{3}{2} \cos (x + \frac{π}{2})$
180918	Divide	(4x)÷2x	$4 x \div 2 x$
180919	Simplify	x square root of 2x^3-4x^2 square root of 128x	$x \sqrt{2 x^{3}} - 4 x^{2} \sqrt{128 x}$
180920	Solve for a	(x^(1/2))/( cube root of x^5)=x^a	$\frac{x^{\frac{1}{2}}}{\sqrt[3]{x^{5}}} = x^{a}$
180921	Convert to Interval Notation	{x\|-2<=x<=2}	${x \| - 2 \leq x \leq 2}$
180922	Write as a Single Logarithm	2 log base b of 6- log base b of 9	$2 \log_{b} (6) - \log_{b} (9)$
180923	Find the Roots (Zeros)	x^3-3x^2+3x-1=0	$x^{3} - 3 x^{2} + 3 x - 1 = 0$
180924	Solve for x	tan(x+pi)+2sin(x+pi)=0	$\tan (x + π) + 2 \sin (x + π) = 0$
180925	Solve the System of Inequalities	x<8 or x<9	$x < 8$ or $x < 9$
180926	Factor	1-64a^3-12a+48a^2	$1 - 64 a^{3} - 12 a + 48 a^{2}$
180927	Find the Exact Value	5-(6-2-(1-8)-3+6)+5	$5 - (6 - 2 - (1 - 8) - 3 + 6) + 5$
180928	Factor by Grouping	3x^3-1-x^2+3x	$3 x^{3} - 1 - x^{2} + 3 x$
180929	Evaluate	7p-(-5)+(-1)	$7 p - (- 5) + (- 1)$
180930	Solve for x	((x-5)^(1/2))^2=(-3)^2	${({(x - 5)}^{\frac{1}{2}})}^{2} = {(- 3)}^{2}$
180931	Find the x and y Intercepts	f(x)=3/2*(4/3)^x-1	$f (x) = \frac{3}{2} \cdot {(\frac{4}{3})}^{x} - 1$
180932	Graph	[-pi,pi]	$[- π, π]$
180933	Find All Complex Solutions	3x+6i=27+yi	$3 x + 6 i = 27 + y i$
180934	Solve for d	d/(d-4)=20/11	$\frac{d}{d - 4} = \frac{20}{11}$
180935	Find f(h(x))	f(x)=6-1/2x h(x)=4(x-3)^2	$f (x) = 6 - \frac{1}{2} x$ $h (x) = 4 {(x - 3)}^{2}$
180936	Evaluate Using the Given Value	-c^2z+cz+c when c=-1	$- c^{2} z + c z + c$ when $c = - 1$
180937	Find the Midpoint	(6,4) and (9,9)	$(6, 4)$ and $(9, 9)$
180938	Simplify	(r/(s^2))/((r^2)/s)	$\frac{\frac{r}{s^{2}}}{\frac{r^{2}}{s}}$
180939	Solve Using the Quadratic Formula	x^4-81	$x^{4} - 81$
180940	Simplify	1/(6a)-3/(4a^2)	$\frac{1}{6 a} - \frac{3}{4 a^{2}}$
180941	Solve the System of Equations	9x+y=2 -4x-y=-17	$9 x + y = 2$ $- 4 x - y = - 17$
180942	Simplify the Radical Expression	square root of x^17	$\sqrt{x^{17}}$
180943	Evaluate	(6!7!)/(4!9!)	$\frac{6! 7!}{4! 9!}$
180944	Solve for x	x/(x+1)+3=1/(x^2+x)	$\frac{x}{x + 1} + 3 = \frac{1}{x^{2} + x}$
180945	Evaluate	square root of square root of 625	$\sqrt{\sqrt{625}}$
180946	Write in Standard Form	5x+3x^2=2x^2+5	$5 x + 3 x^{2} = 2 x^{2} + 5$
180947	Simplify	((3^2)^2)^2	${({(3^{2})}^{2})}^{2}$
180948	Solve for A	A=(-2(9-3)-3(-2+4))/(6-(5-3))+3/2	$A = \frac{- 2 (9 - 3) - 3 (- 2 + 4)}{6 - (5 - 3)} + \frac{3}{2}$
180949	Solve for x	4x+7=7(x+1)-3x	$4 x + 7 = 7 (x + 1) - 3 x$
180950	Simplify	5 square root of 28x^2+5x square root of 63	$5 \sqrt{28 x^{2}} + 5 x \sqrt{63}$
180951	Solve for y	3x+5=9-4y	$3 x + 5 = 9 - 4 y$
180952	Evaluate	(x^2-9)^2-9	${(x^{2} - 9)}^{2} - 9$
180953	Simplify	-10*(13i-9)	$- 10 \cdot (13 i - 9)$
180954	Graph	(0,0) , (0,0)	$(0, 0)$ , $(0, 0)$
180955	Graph	y=((x-4)(x-1))/((x+5)(x-5))	$y = \frac{(x - 4) (x - 1)}{(x + 5) (x - 5)}$
180956	Solve for x	(9x)/(x-2)-8/(x^2-2x)=-1/(x-2)	$\frac{9 x}{x - 2} - \frac{8}{x^{2} - 2 x} = - \frac{1}{x - 2}$
180957	Evaluate the Function	f(3)=2	$f (3) = 2$
180958	Simplify	square root of a^2+a^2	$\sqrt{a^{2} + a^{2}}$
180959	Factor	4x^2-8x=0	$4 x^{2} - 8 x = 0$
180960	Graph	y=x+1,x>2; x+2,x<=2	$y = {\begin{cases} x + 1, x > 2 \\ x + 2, x \leq 2 \end{cases}$
180961	Solve the Inequality for x	1/(x+1)>2/(x-1)	$\frac{1}{x + 1} > \frac{2}{x - 1}$
180962	Simplify the Radical Expression	square root of -252	$\sqrt{- 252}$
180963	Graph	y=-1/3cos(3x)	$y = - \frac{1}{3} \cos (3 x)$
180964	Simplify	2/x+3/(x-1)-4/(x^2-x)	$\frac{2}{x} + \frac{3}{x - 1} - \frac{4}{x^{2} - x}$
180965	Simplify	4x^3+x^2+2(x^3-3x^2)	$4 x^{3} + x^{2} + 2 (x^{3} - 3 x^{2})$
180966	Solve for t	3=t+11.5-t	$3 = t + 11.5 - t$
180967	Evaluate the Function	f(-x)=(-x)/(-x^2+1)	$f (- x) = \frac{- x}{- x^{2} + 1}$
180968	Find the First Term	4n-2	$4 n - 2$
180969	Simplify	3ax-2by-2bx-6a+3ay+4b	$3 a x - 2 b y - 2 b x - 6 a + 3 a y + 4 b$
180970	Simplify	(36x^5y^-3z)/(-9x^8y^2z^4)	$\frac{36 x^{5} y^{- 3} z}{- 9 x^{8} y^{2} z^{4}}$
180971	Solve for x	3-5x=-9+x	$3 - 5 x = - 9 + x$
180972	Find All Complex Solutions	-9(x+6)=-9x+108	$- 9 (x + 6) = - 9 x + 108$
180973	Convert to a Decimal	345deg	$345$ degrees
180974	Solve the System of Inequalities	3-2x>=5 or 3(x-2)+1>7	$3 - 2 x \geq 5$ or $3 (x - 2) + 1 > 7$
180975	Graph Using a Table of Values	f(x)=3*2^x	$f (x) = 3 \cdot 2^{x}$
180976	Solve for x	(x+2)/(x+3)-(x+1)/(x-1)=4/((x+3)(x-1))	$\frac{x + 2}{x + 3} - \frac{x + 1}{x - 1} = \frac{4}{(x + 3) (x - 1)}$
180977	Find the x and y Intercepts	f(x)=-(x+2)(x-1)(x-2)	$f (x) = - (x + 2) (x - 1) (x - 2)$
180978	Simplify	(5n)/(20n^2-15)	$\frac{5 n}{20 n^{2} - 15}$
180979	Solve for x	1/2(x+6)=18	$\frac{1}{2} (x + 6) = 18$
180980	Simplify	(2x+3)/(5x-30)-(3x+4)/(x-6)	$\frac{2 x + 3}{5 x - 30} - \frac{3 x + 4}{x - 6}$
180981	Solve for b	-1/4(-16b-20)=-7b-16	$- \frac{1}{4} (- 16 b - 20) = - 7 b - 16$
180982	Graph	y=(3x)/2	$y = \frac{3 x}{2}$
180983	Multiply	( square root of 2x^3+ square root of 12x)(2 square root of 10x^5+ square root of 6x^2)	$(\sqrt{2 x^{3}} + \sqrt{12 x}) (2 \sqrt{10 x^{5}} + \sqrt{6 x^{2}})$
180984	Simplify the Radical Expression	4/( square root of 3)	$\frac{4}{\sqrt{3}}$
180985	Evaluate	csc(theta)-sin(theta)	$\csc (θ) - \sin (θ)$
180986	Graph	{x\|x<-2}	${x \| x < - 2}$
180987	Subtract	8 6/9-3/9	$8 \frac{6}{9} - \frac{3}{9}$
180988	Find the Distance Between Two Points	(2,-8) and (5,-6)	$(2, - 8)$ and $(5, - 6)$
180989	Simplify	square root of 5(3- square root of 5)	$\sqrt{5} (3 - \sqrt{5})$
180990	Evaluate	(35/5)÷(-3/4)	$\frac{35}{5} \div (- \frac{3}{4})$
180991	Graph	f(x)=-3x if x<0; 3x if x>=0	$f (x) = {\begin{cases} - 3 x & x < 0 \\ 3 x & x \geq 0 \end{cases}$
180992	Solve for t	z^t*z^5=z^15	$z^{t} \cdot z^{5} = z^{15}$
180993	Find the Product	(x square root of 7-3 square root of 8)(x square root of 7-3 square root of 8)	$(x \sqrt{7} - 3 \sqrt{8}) (x \sqrt{7} - 3 \sqrt{8})$
180994	Simplify	(2a^5-4a+a^4+2a^3+5)+(-5a^5+3a^3-9+11a)	$(2 a^{5} - 4 a + a^{4} + 2 a^{3} + 5) + (- 5 a^{5} + 3 a^{3} - 9 + 11 a)$
180995	Find the Exact Value	(-3/2)^2	${(- \frac{3}{2})}^{2}$
180996	Solve the Inequality for x	(7x)/(x^2-16)>=0	$\frac{7 x}{x^{2} - 16} \geq 0$
180997	Solve for x	1.6=3^(x+1)	$1.6 = 3^{x + 1}$
180998	Simplify	(7 square root of 3)/(4 square root of 7)	$\frac{7 \sqrt{3}}{4 \sqrt{7}}$
180999	Write as a Single Logarithm	4 log base 4 of x+5 log base 4 of y-2 log base 4 of z	$4 \log_{4} (x) + 5 \log_{4} (y) - 2 \log_{4} (z)$
181000	Solve for a	(x^(2/3))^(1/5)=x^a	${(x^{\frac{2}{3}})}^{\frac{1}{5}} = x^{a}$