Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195901	Simplify the Radical Expression	fifth root of 13^3	$\sqrt[5]{13^{3}}$
195902	Evaluate Using the Given Value	c/2-3+6/d when c=14 and d=3	$\frac{c}{2} - 3 + \frac{6}{d}$ when $c = 14$ and $d = 3$
195903	Solve the System of Equations	-a+4b+2c=-8 3a+b-4c=9 b=-1	$- a + 4 b + 2 c = - 8$ $3 a + b - 4 c = 9$ $b = - 1$
195904	Evaluate	-1/infinity	$\frac{- 1}{\infty}$
195905	Find the Roots (Zeros)	f(x)=(x^2+6)^2	$f (x) = {(x^{2} + 6)}^{2}$
195906	Solve for s	49s-24s=50	$49 s - 24 s = 50$
195907	Write in Standard Form	f(x)=3x^2+6x	$f (x) = 3 x^{2} + 6 x$
195908	Solve the System of Equations	y=x+5 x^2+y^2=97	$y = x + 5$ $x^{2} + y^{2} = 97$
195909	Find All Complex Solutions	2cos(2theta)-1=0	$2 \cos (2 θ) - 1 = 0$
195910	Solve for c	10b=5( square root of c+2)	$10 b = 5 (\sqrt{c} + 2)$
195911	Find the Axis of Symmetry	f(x)=-2x^2	$f (x) = - 2 x^{2}$
195912	Find the LCD	1/(4x+20) and 7/(8x)	$\frac{1}{4 x + 20}$ and $\frac{7}{8 x}$
195913	Simplify	((9+4x)+21)/5	$\frac{(9 + 4 x) + 21}{5}$
195914	Simplify	(-4-i)+(-1+7i)+(6i)	$(- 4 - i) + (- 1 + 7 i) + (6 i)$
195915	Find the Function	f(x)=\|-2x-3\|	$f (x) = \| - 2 x - 3 \|$
195916	Simplify	b+4b-9b	$b + 4 b - 9 b$
195917	Simplify	((81x^12)/(3x^3))^(1/3)	${(\frac{81 x^{12}}{3 x^{3}})}^{\frac{1}{3}}$
195918	Solve for x	log base 5 of x- log base 5 of x+4 = log base 5 of 38	$\log_{5} (x) - \log_{5} (x + 4) = \log_{5} (38)$
195919	Solve for c	f=9/5*c+32	$f = \frac{9}{5} \cdot c + 32$
195920	Evaluate	(6^0)/(3^1)+5^0	$\frac{6^{0}}{3^{1}} + 5^{0}$
195921	Solve for z	z/16=(2(3z+1))/9	$\frac{z}{16} = \frac{2 (3 z + 1)}{9}$
195922	Factor	9y^2z^2-81y^3z^2-90y^2z^4	$9 y^{2} z^{2} - 81 y^{3} z^{2} - 90 y^{2} z^{4}$
195923	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9-4x^3-9x^5-x+x^4	$f (x) = 9 - 4 x^{3} - 9 x^{5} - x + x^{4}$
195924	Solve for y	1+5y=10x-9	$1 + 5 y = 10 x - 9$
195925	Convert to a Decimal	763 milesimas	$763$ milesimas
195926	Find the x and y Intercepts	\|x-2\|	$\| x - 2 \|$
195927	Evaluate	tan(theta)=0	$\tan (θ) = 0$
195928	Find the Roots (Zeros)	f(x)=(x+2)(x-1)^2(x+1)^2	$f (x) = (x + 2) {(x - 1)}^{2} {(x + 1)}^{2}$
195929	Solve for x	3x-1>0	$3 x - 1 > 0$
195930	Simplify	2/x+x/3	$\frac{2}{x} + \frac{x}{3}$
195931	Solve for m	-8=1/4(m-n)	$- 8 = \frac{1}{4} (m - n)$
195932	Evaluate	pi(2)	$π (2)$
195933	Solve the Absolute Value Inequality for n	\|n\|+2>=5	$\| n \| + 2 \geq 5$
195934	Simplify the Radical Expression	1/(1+ square root of 3)	$\frac{1}{1 + \sqrt{3}}$
195935	Simplify	7-3((n^3+8n)÷(-n)+9n^2)	$7 - 3 ((n^{3} + 8 n) \div (- n) + 9 n^{2})$
195936	Evaluate	e^0cos(0)	$e^{0} \cos (0)$
195937	Solve for x	1/2x+8=3-1/3x	$\frac{1}{2} x + 8 = 3 - \frac{1}{3} x$
195938	Simplify	2 square root of 3(3- square root of 2)	$2 \sqrt{3} (3 - \sqrt{2})$
195939	Evaluate	(3x^(1/2))^2	${(3 x^{\frac{1}{2}})}^{2}$
195940	Graph	y<=-2x^2+10x-8	$y \leq - 2 x^{2} + 10 x - 8$
195941	Simplify	(1/(3x))/(5/(6y))	$\frac{\frac{1}{3 x}}{\frac{5}{6 y}}$
195942	Solve for x	(x-1)/4+(2x+7)/9=3x-2	$\frac{x - 1}{4} + \frac{2 x + 7}{9} = 3 x - 2$
195943	Solve the System of Equations	-x+y+z=-1 x-2y+z=7 4x+2y-2z=-4	$- x + y + z = - 1$ $x - 2 y + z = 7$ $4 x + 2 y - 2 z = - 4$
195944	Simplify	((x^2+9x+18)/(x-5))÷((x+3)/(x^2-25))	$\frac{x^{2} + 9 x + 18}{x - 5} \div \frac{x + 3}{x^{2} - 25}$
195945	Find the Degree	x^2(x-1)(x+1)=0	$x^{2} (x - 1) (x + 1) = 0$
195946	Multiply	square root of x(x- square root of x)	$\sqrt{x} (x - \sqrt{x})$
195947	Solve for x	square root of x+5 = square root of x^2+5	$\sqrt{x + 5} = \sqrt{x^{2} + 5}$
195948	Solve for x	1/4-x=-3/8	$\frac{1}{4} - x = - \frac{3}{8}$
195949	Write the Fraction in Simplest Form	1/51/51/5*1/5	$\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}$
195950	Graph	[-pi/2,pi/2]	$[- \frac{π}{2}, \frac{π}{2}]$
195951	Find the Product	(4x^3+7y^3z^4)^2	${(4 x^{3} + 7 y^{3} z^{4})}^{2}$
195952	Graph	x = square root of x	$x = \sqrt{x}$
195953	Multiply	x/3*3	$\frac{x}{3} \cdot 3$
195954	Graph	y-5=1/2(x+3)^2	$y - 5 = \frac{1}{2} {(x + 3)}^{2}$
195955	Solve for x	x+x-4=17-2x+1	$x + x - 4 = 17 - 2 x + 1$
195956	Solve the System of Equations	r+s=-12 4r-6s=12	$r + s = - 12$ $4 r - 6 s = 12$
195957	Find the Quadratic Equation Given the Roots	2/3 , 7	$\frac{2}{3}$ , $7$
195958	Graph	3+v<=-9	$3 + v \leq - 9$
195959	Evaluate Using the Given Value	4x-4 for x=3	$4 x - 4$ for $x = 3$
195960	Convert to Interval Notation	x<-5 or x>-2	$x < - 5$ or $x > - 2$
195961	Evaluate	(5x^2+8x)+(x^2-5x+1)	$(5 x^{2} + 8 x) + (x^{2} - 5 x + 1)$
195962	Solve for t	\|t+5\|=8	$\| t + 5 \| = 8$
195963	Write in Slope-Intercept Form	x+3y>=6	$x + 3 y \geq 6$
195964	Solve for q	square root of 3q+2 = square root of 5	$\sqrt{3} q + 2 = \sqrt{5}$
195965	Find the Third Term	(x^2+2)^4	${(x^{2} + 2)}^{4}$
195966	Solve for s	7s+8>=3s-1	$7 s + 8 \geq 3 s - 1$
195967	Solve for x	x^3-5x^2+x+15=0	$x^{3} - 5 x^{2} + x + 15 = 0$
195968	Find the Excluded Values	x/(x^2+x-12)	$\frac{x}{x^{2} + x - 12}$
195969	Graph	F(x)=\|3x+1\|	$F (x) = \| 3 x + 1 \|$
195970	Simplify	(2a^5b^5)^3(3a^5b^3)^3	${(2 a^{5} b^{5})}^{3} {(3 a^{5} b^{3})}^{3}$
195971	Simplify	(3x^2-6x)/(x^2-6x+9)*(x^2-x-6)/(x^2-4)	$\frac{3 x^{2} - 6 x}{x^{2} - 6 x + 9} \cdot \frac{x^{2} - x - 6}{x^{2} - 4}$
195972	Find the Exact Value	square root of 9/4	$\sqrt{\frac{9}{4}}$
195973	Simplify	(3k)/(4k)+(k-3)/(5k-4)	$\frac{3 k}{4 k} + \frac{k - 3}{5 k - 4}$
195974	Simplify	(x-2)+(x^2+3)	$(x - 2) + (x^{2} + 3)$
195975	Find the Exact Value	e^-4	$e^{- 4}$
195976	Simplify the Radical Expression	x^3 square root of x^6	$x^{3} \sqrt{x^{6}}$
195977	Convert to a Decimal	sin(225)deg	$\sin (225)$ degrees
195978	Simplify	(2x^2y^(1/3))^5	${(2 x^{2} y^{\frac{1}{3}})}^{5}$
195979	Solve for y	y^3+5y^2-25y-125=0	$y^{3} + 5 y^{2} - 25 y - 125 = 0$
195980	Solve for x	(2x+3)^2+8(2x+3)+11=0	${(2 x + 3)}^{2} + 8 (2 x + 3) + 11 = 0$
195981	Solve for t	2(2t+4)=34(24-8t)	$2 (2 t + 4) = 34 (24 - 8 t)$
195982	Simplify	(x^2+3x+2)/(x^2-2x+1)-(3x+3)/(x^2-2x+1)	$\frac{x^{2} + 3 x + 2}{x^{2} - 2 x + 1} - \frac{3 x + 3}{x^{2} - 2 x + 1}$
195983	Solve for x	(4x^2)/(x^2-9)-(2x)/(x+3)=1/(x-3)	$\frac{4 x^{2}}{x^{2} - 9} - \frac{2 x}{x + 3} = \frac{1}{x - 3}$
195984	Solve for x	2=20/(x^2+2)	$2 = \frac{20}{x^{2} + 2}$
195985	Solve for x	x/(x-1)=3/(x+2)+(3x)/(x^2+x-2)	$\frac{x}{x - 1} = \frac{3}{x + 2} + \frac{3 x}{x^{2} + x - 2}$
195986	Factor	8a^2b+16a^3b-24a^2b^2	$8 a^{2} b + 16 a^{3} b - 24 a^{2} b^{2}$
195987	Solve the Inequality for x	4-(x+2)<-3(x+4)	$4 - (x + 2) < - 3 (x + 4)$
195988	Graph	y=cot(x-(5pi)/6)	$y = \cot (x - \frac{5 π}{6})$
195989	Solve the Absolute Value Inequality for x	(\|x-4\|)/5<=2	$\frac{\| x - 4 \|}{5} \leq 2$
195990	Solve for w	\|-4w-8\|>20	$\| - 4 w - 8 \| > 20$
195991	Evaluate	-1/5*5^(7-1)	$- \frac{1}{5} \cdot 5^{7 - 1}$
195992	Simplify	(-5cd^-4)(2cd^2)^2	$(- 5 c d^{- 4}) {(2 c d^{2})}^{2}$
195993	Convert to Interval Notation	x^2<=2x+8	$x^{2} \leq 2 x + 8$
195994	Evaluate	2*3^-1	$2 \cdot 3^{- 1}$
195995	Write the Fraction in Simplest Form	(1/3)^-2	${(\frac{1}{3})}^{- 2}$
195996	Solve for x	5\|x\|+6>=1	$5 \| x \| + 6 \geq 1$
195997	Solve for x	log base 8 of 3x+1+16=18	$\log_{8} (3 x + 1) + 16 = 18$
195998	Simplify	-5(8x+1)+2(6x-5)-1	$- 5 (8 x + 1) + 2 (6 x - 5) - 1$
195999	Solve for x	x^( square root of x)=(16 root of 2)^-1	$x^{\sqrt{x}} = {(\sqrt[16]{2})}^{- 1}$
196000	Solve for x	5/9-x/3=4/9	$\frac{5}{9} - \frac{x}{3} = \frac{4}{9}$