Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218001	Solve for d	t = square root of d/16	$t = \sqrt{\frac{d}{16}}$
218002	Convert to Interval Notation	x<-9 or x>-6	$x < - 9$ or $x > - 6$
218003	Multiply	(8x+64)/(x-4)*(x^2-49)/(x^2+x-56)	$\frac{8 x + 64}{x - 4} \cdot \frac{x^{2} - 49}{x^{2} + x - 56}$
218004	Graph	table[[x,y],[-1,-4],[0,-3],[1,-2]]	$\begin{array}{c} x & y \\ - 1 & - 4 \\ 0 & - 3 \\ 1 & - 2 \end{array}$
218005	Simplify	((6^4)/(3^2))^3	${(\frac{6^{4}}{3^{2}})}^{3}$
218006	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+3x^2-10x-9 is divided by x+1	Use synthetic division to find the result when $4 x^{3} + 3 x^{2} - 10 x - 9$ is divided by $x + 1$
218007	Solve for x	4(3-x)+6x=x+12-3x	$4 (3 - x) + 6 x = x + 12 - 3 x$
218008	Write the Fraction in Simplest Form	limit as x approaches 0 of (e^(2x)-1)/(e^x-1)	$lim_{x \to 0} \frac{e^{2 x} - 1}{e^{x} - 1}$
218009	Find the Roots (Zeros)	y=x^2-2 square root of 2x+2	$y = x^{2} - 2 \sqrt{2} x + 2$
218010	Factor	6a^(2x)-24b^2	$6 a^{2 x} - 24 b^{2}$
218011	Evaluate	((3m^-2n)^-3)/(6mn^-2)	$\frac{{(3 m^{- 2} n)}^{- 3}}{6 m n^{- 2}}$
218012	Find the Product	2m^2*2m^3	$2 m^{2} \cdot 2 m^{3}$
218013	Solve the Inequality for x	3(x-5)+x<13	$3 (x - 5) + x < 13$
218014	Rationalize the Denominator	-1/( cube root of 2m^2n)	$- \frac{1}{\sqrt[3]{2 m^{2} n}}$
218015	Solve for x	4x^2-8x+4=1	$4 x^{2} - 8 x + 4 = 1$
218016	Simplify	(cot(x)^2)/(1+cot(x)^2)	$\frac{\cot^{2} (x)}{1 + \cot^{2} (x)}$
218017	Find the Product	-2/3n^2(-9n^2+3n+6)	$- \frac{2}{3} n^{2} (- 9 n^{2} + 3 n + 6)$
218018	Simplify the Radical Expression	((2^4)/(3^4))^(1/8)	${(\frac{2^{4}}{3^{4}})}^{\frac{1}{8}}$
218019	Simplify the Radical Expression	((3q^(5/2)r^(1/4))/(6^(1/2)))^2	${(\frac{3 q^{\frac{5}{2}} r^{\frac{1}{4}}}{6^{\frac{1}{2}}})}^{2}$
218020	Find the Domain and Range	y=4+ square root of x+6	$y = 4 + \sqrt{x + 6}$
218021	Simplify	(3 square root of 20)/( square root of 45)	$\frac{3 \sqrt{20}}{\sqrt{45}}$
218022	Solve for c	c^3+27=0	$c^{3} + 27 = 0$
218023	Simplify	2y*3x^-1y^4	$2 y \cdot 3 x^{- 1} y^{4}$
218024	Find the Midpoint	What is the midpoint of the points (2,4) and (-5,5) ?	What is the midpoint of the points $(2, 4)$ and $(- 5, 5)$ ?
218025	Factor	5ax-2ay-3bz+2by+3az-5bx	$5 a x - 2 a y - 3 b z + 2 b y + 3 a z - 5 b x$
218026	Graph	P(x)=x^4-3x^2+x-8	$P (x) = x^{4} - 3 x^{2} + x - 8$
218027	Solve for x	log base 9 of x+6+ log base 9 of x+4=1/2	$\log_{9} (x + 6) + \log_{9} (x + 4) = \frac{1}{2}$
218028	Factor	xz(x+z)+xy(x-y)-yz(y+z)	$x z (x + z) + x y (x - y) - y z (y + z)$
218029	Solve for h	h^2+7h+10=0	$h^{2} + 7 h + 10 = 0$
218030	Simplify	e^x*6e^(3x-1)	$e^{x} \cdot 6 e^{3 x - 1}$
218031	Simplify	10/( square root of 3x^5)	$\frac{10}{\sqrt{3 x^{5}}}$
218032	Evaluate	1/3*5/6-2/9	$\frac{1}{3} \cdot \frac{5}{6} - \frac{2}{9}$
218033	Solve for b	10+5b^2=200	$10 + 5 b^{2} = 200$
218034	Solve the Inequality for x	(x-\|5x+2\|)/(2x+\|5x+2\|)>x	$\frac{x - \| 5 x + 2 \|}{2 x + \| 5 x + 2 \|} > x$
218035	Solve for x	x^2+2x-8<=0	$x^{2} + 2 x - 8 \leq 0$
218036	Simplify	( square root of 15)/(2 square root of 4)	$\frac{\sqrt{15}}{2 \sqrt{4}}$
218037	Simplify	-36114/9	$- 36 \cdot 11 \cdot \frac{4}{9}$
218038	Solve for x	2/5=x/3+1/3	$\frac{2}{5} = \frac{x}{3} + \frac{1}{3}$
218039	Convert to Radical Form	(64n^12)^(-1/6)	${(64 n^{12})}^{- \frac{1}{6}}$
218040	Solve the System of Inequalities	k-3<-7 or k+5>=8	$k - 3 < - 7$ or $k + 5 \geq 8$
218041	Simplify	-z^3 square root of 16z^3+3 square root of 36z^7	$- z^{3} \sqrt{16 z^{3}} + 3 \sqrt{36 z^{7}}$
218042	Simplify	(x^2)/(2 square root of x)	$\frac{x^{2}}{2 \sqrt{x}}$
218043	Simplify	-1/3 square root of -90	$- \frac{1}{3} \sqrt{- 90}$
218044	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+9x^3-3x^2+2x+10 is divided by x+1	Use synthetic division to find the result when $4 x^{4} + 9 x^{3} - 3 x^{2} + 2 x + 10$ is divided by $x + 1$
218045	Simplify the Radical Expression	20x^6 cube root of -1/1000x^36	$20 x^{6} \sqrt[3]{\frac{- 1}{1000} x^{36}}$
218046	Simplify the Radical Expression	fourth root of (3a^2)/(8b^7)	$\sqrt[4]{\frac{3 a^{2}}{8 b^{7}}}$
218047	Simplify	(3a^-1b^-4)/(3ab)	$\frac{3 a^{- 1} b^{- 4}}{3 a b}$
218048	Find the Roots (Zeros)	f(x)=x^4-4x^3+2x^2+x+4	$f (x) = x^{4} - 4 x^{3} + 2 x^{2} + x + 4$
218049	Solve the Rational Equation for x	8/(3x-2)=2/(x-1)	$\frac{8}{3 x - 2} = \frac{2}{x - 1}$
218050	Graph	f(x)=-x(x+2)(x-2)(x+1)	$f (x) = - x (x + 2) (x - 2) (x + 1)$
218051	Solve for x	105=(x-2)(x)(x+2)	$105 = (x - 2) (x) (x + 2)$
218052	Graph the Intersection (and)	y<=-3x+1 y>=-1/4x+6	$y \leq - 3 x + 1$ $y \geq - \frac{1}{4} x + 6$
218053	Solve for x	3^x+3^(1+x)=36	$3^{x} + 3^{1 + x} = 36$
218054	Solve for x	12/(7-x)=x	$\frac{12}{7 - x} = x$
218055	Solve for x	(-3cos(x)-5sin(x))^2-16sin(x)^2=(18+15 square root of 3)/2	${(- 3 \cos (x) - 5 \sin (x))}^{2} - 16 \sin^{2} (x) = \frac{18 + 15 \sqrt{3}}{2}$
218056	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,-8) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(8, - 8)$ and has a slope of $- \frac{1}{4}$ ?
218057	Simplify	csc(theta)^2+cot(theta)^2-1	$\csc^{2} (θ) + \cot^{2} (θ) - 1$
218058	Simplify the Radical Expression	(b^-2)/(b^4)	$\frac{b^{- 2}}{b^{4}}$
218059	Simplify	(12x^3y^5)1/2	$(12 x^{3} y^{5}) \frac{1}{2}$
218060	Multiply	-4(rs^2)(-5r^4s)	$- 4 (r s^{2}) (- 5 r^{4} s)$
218061	Factor	(3x^2-12)/(8x^2-18x+4)	$\frac{3 x^{2} - 12}{8 x^{2} - 18 x + 4}$
218062	Find the Domain and Range	f(x)=5-3(x-1)	$f (x) = 5 - 3 (x - 1)$
218063	Solve for x	x2/3=4	$x \frac{2}{3} = 4$
218064	Solve by Completing the Square	x^2+bx+c=0	$x^{2} + b x + c = 0$
218065	Write in Exponential Form	2 square root of x^2	$2 \sqrt{x^{2}}$
218066	Evaluate	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
218067	Simplify	1/( square root of -5)	$\frac{1}{\sqrt{- 5}}$
218068	Solve for x	7 1/4x+x-2 11/12x+1 2/3x=5 3/5	$7 \frac{1}{4} x + x - 2 \frac{11}{12} x + 1 \frac{2}{3} x = 5 \frac{3}{5}$
218069	Solve by Substitution	x-2y=3 and 4x-8y=12	$x - 2 y = 3$ and $4 x - 8 y = 12$
218070	Solve for m	(2m-1)/19=m/10	$\frac{2 m - 1}{19} = \frac{m}{10}$
218071	Simplify	(-4^-2y)^2	${(- 4^{- 2} y)}^{2}$
218072	Simplify	square root of -2x^2	$\sqrt{- 2 x^{2}}$
218073	Solve for x	a=(4x)/t-p	$a = \frac{4 x}{t} - p$
218074	Solve for x	0=x^3+x^2-9x-9	$0 = x^{3} + x^{2} - 9 x - 9$
218075	Write the Fraction in Simplest Form	((4x^-2j^3)^-3)/(3x^6j^-4)	$\frac{{(4 x^{- 2} j^{3})}^{- 3}}{3 x^{6} j^{- 4}}$
218076	Write in Standard Form	-2x+3=4y	$- 2 x + 3 = 4 y$
218077	Simplify	cube root of fourth root of y^11	$\sqrt[3]{\sqrt[4]{y^{11}}}$
218078	Subtract	(m^2+n^2)-(4m^2+7n^2)	$(m^{2} + n^{2}) - (4 m^{2} + 7 n^{2})$
218079	Solve for x	square root of 8-x=2x+d	$\sqrt{8 - x} = 2 x + d$
218080	Evaluate	sin(theta)(csc(theta)-sin(theta))	$\sin (θ) (\csc (θ) - \sin (θ))$
218081	Simplify	1/(cos(x))-(sin(x))/(cos(x))	$\frac{1}{\cos (x)} - \frac{\sin (x)}{\cos (x)}$
218082	Solve the Inequality for k	\|k-4\|>3	$\| k - 4 \| > 3$
218083	Find the Excluded Values	1-5/(x-2)=-20/(x^2-4)	$1 - \frac{5}{x - 2} = - \frac{20}{x^{2} - 4}$
218084	Divide	( cube root of 6)/( fourth root of 6)	$\frac{\sqrt[3]{6}}{\sqrt[4]{6}}$
218085	Find All Complex Solutions	z^4=-1	$z^{4} = - 1$
218086	Evaluate the Function	f(x)=x^3+x^2-5x-6 at x=2	$f (x) = x^{3} + x^{2} - 5 x - 6$ at $x = 2$
218087	Simplify	square root of 2*5	$\sqrt{2 \cdot 5}$
218088	Solve for x	x^5-32=-64	$x^{5} - 32 = - 64$
218089	Divide Using Synthetic Division	(x^4-x^3+x^2-x+1)÷(x-1)	$(x^{4} - x^{3} + x^{2} - x + 1) \div (x - 1)$
218090	Find the Domain and Range	y=-3/2sin(x/3+pi/6)+2	$y = - \frac{3}{2} \sin (\frac{x}{3} + \frac{π}{6}) + 2$
218091	Factor	(5x-6)^2+x5(5x-6)5	${(5 x - 6)}^{2} + x \cdot 5 (5 x - 6) \cdot 5$
218092	Simplify	y^2+11y-6y+y^2	$y^{2} + 11 y - 6 y + y^{2}$
218093	Simplify	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \cdot \frac{(1 - x)}{1 + x} \cdot \frac{x}{x^{2} - 1}$
218094	Factor	5(4x^2+3x-10)-(3x+2)(x+2)	$5 (4 x^{2} + 3 x - 10) - (3 x + 2) (x + 2)$
218095	Simplify	((2x^3)/(x+5))÷((x-5)/(3x-1))	$\frac{2 x^{3}}{x + 5} \div \frac{x - 5}{3 x - 1}$
218096	Evaluate	y=2(4)^-2	$y = 2 {(4)}^{- 2}$
218097	Graph	x^2\|x\|	$x^{2} \| x \|$
218098	Evaluate	(3x+2)-(x+4)	$(3 x + 2) - (x + 4)$
218099	Simplify	2/3y-2(4/3y+z)	$\frac{2}{3} y - 2 (\frac{4}{3} y + z)$
218100	Solve the Rational Equation for x	square root of 10x+15-4=x	$\sqrt{10 x + 15} - 4 = x$