Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
109401	Simplify	w^2+30w+81	$w^{2} + 30 w + 81$
109402	Simplify	x/(x^2-y^2)+y/(x^2-y^2)	$\frac{x}{x^{2} - y^{2}} + \frac{y}{x^{2} - y^{2}}$
109403	Write as a Single Logarithm	log of 5-k log of 2	$\log (5) - k \log (2)$
109404	Simplify	x/(x-6)-(x-3)/(3x)	$\frac{x}{x - 6} - \frac{x - 3}{3 x}$
109405	Simplify	x^(1/2)(4x-4)	$x^{\frac{1}{2}} (4 x - 4)$
109406	Add	3/(n^2-9)+7/(3-n)	$\frac{3}{n^{2} - 9} + \frac{7}{3 - n}$
109407	Simplify	x^3y^5x^5	$x^{3} y^{5} x^{5}$
109408	Convert to Interval Notation	((x+9)(x-11))/(x+7)<=0	$\frac{(x + 9) (x - 11)}{x + 7} \leq 0$
109409	Simplify	x^2=81	$x^{2} = 81$
109410	Convert to Interval Notation	\|10-4x\|>=20	$\| 10 - 4 x \| \geq 20$
109411	Simplify	x^2-12	$x^{2} - 12$
109412	Convert to Interval Notation	3\|x-5\|+1>=13	$3 \| x - 5 \| + 1 \geq 13$
109413	Simplify	x^2-2x-8	$x^{2} - 2 x - 8$
109414	Simplify	x^2-x-20	$x^{2} - x - 20$
109415	Simplify	x^2-8x+12	$x^{2} - 8 x + 12$
109416	Simplify	x^2-9x+18	$x^{2} - 9 x + 18$
109417	Simplify	x^2-7	$x^{2} - 7$
109418	Simplify	x^2-6x+5	$x^{2} - 6 x + 5$
109419	Simplify	x^2-6x+8	$x^{2} - 6 x + 8$
109420	Simplify	x^3(y^-5)(x^-8)	$x^{3} (y^{- 5}) (x^{- 8})$
109421	Find the x and y Intercepts	f(x)=2x^2+9x-5	$f (x) = 2 x^{2} + 9 x - 5$
109422	Simplify	x^(9/4)+x^(5/2)	$x^{\frac{9}{4}} + x^{\frac{5}{2}}$
109423	Simplify	x^(6/5)	$x^{\frac{6}{5}}$
109424	Simplify	x^(-6/7)	$x^{- \frac{6}{7}}$
109425	Simplify	x^(3/7)*x^(8/7)	$x^{\frac{3}{7}} \cdot x^{\frac{8}{7}}$
109426	Simplify	x^(3/4)*x^(1/5)	$x^{\frac{3}{4}} \cdot x^{\frac{1}{5}}$
109427	Simplify	x^(-5/3)*x^(8/3)	$x^{- \frac{5}{3}} \cdot x^{\frac{8}{3}}$
109428	Find the Domain	f(x) = square root of x-15	$f (x) = \sqrt{x - 15}$
109429	Simplify	x^(1/3)*x^(3/7)	$x^{\frac{1}{3}} \cdot x^{\frac{3}{7}}$
109430	Simplify	x^(-1/4)*x^(5/4)	$x^{- \frac{1}{4}} \cdot x^{\frac{5}{4}}$
109431	Expand the Logarithmic Expression	log of ( cube root of x^5)/(y^2z)	$\log (\frac{\sqrt[3]{x^{5}}}{y^{2} z})$
109432	Simplify	x^2+2x-3	$x^{2} + 2 x - 3$
109433	Add	(-4b^3+b-1)+(6b-6)	$(- 4 b^{3} + b - 1) + (6 b - 6)$
109434	Simplify	x^2+3x-10	$x^{2} + 3 x - 10$
109435	Add	(3x^3+4x^2)+(3x^3-4x^2-9x)	$(3 x^{3} + 4 x^{2}) + (3 x^{3} - 4 x^{2} - 9 x)$
109436	Simplify	(x+1)/(x-1)	$\frac{x + 1}{x - 1}$
109437	Simplify	(x+2)/(x^2-36)-x/(x^2+9x+18)	$\frac{x + 2}{x^{2} - 36} - \frac{x}{x^{2} + 9 x + 18}$
109438	Add	(2n^2-5n-6)+(-n^2-3n+11)	$(2 n^{2} - 5 n - 6) + (- n^{2} - 3 n + 11)$
109439	Simplify	(x+3)/(x+2)*(2x-4)/(x^2-9)	$\frac{x + 3}{x + 2} \cdot \frac{2 x - 4}{x^{2} - 9}$
109440	Simplify	(x+2)/(x-4)*(3x)/(x+4)	$\frac{x + 2}{x - 4} \cdot \frac{3 x}{x + 4}$
109441	Solve Using the Quadratic Formula	3x-9x^2+10=0	$3 x - 9 x^{2} + 10 = 0$
109442	Simplify	x^6y^-2	$x^{6} y^{- 2}$
109443	Find the x and y Intercepts	-3y=15	$- 3 y = 15$
109444	Simplify	x^6*x^5	$x^{6} \cdot x^{5}$
109445	Simplify	x^7*x^9	$x^{7} \cdot x^{9}$
109446	Solve by Completing the Square	x^2+11x=3	$x^{2} + 11 x = 3$
109447	Find the Inverse	f(x)=(2x+5)/7	$f (x) = \frac{2 x + 5}{7}$
109448	Subtract	180-53	$180 - 53$
109449	Simplify	(x+5)/(4x-16)*(2x^2-32)/(x^2-25)	$\frac{x + 5}{4 x - 16} \cdot \frac{2 x^{2} - 32}{x^{2} - 25}$
109450	Subtract	180-126	$180 - 126$
109451	Simplify	(x-1)/(x^2-1)	$\frac{x - 1}{x^{2} - 1}$
109452	Simplify	(x-1)/(x^2+1)*(x^2-1)/((x-1)^2)	$\frac{x - 1}{x^{2} + 1} \cdot \frac{x^{2} - 1}{{(x - 1)}^{2}}$
109453	Simplify	(x-2)/(x^2+3x-10)	$\frac{x - 2}{x^{2} + 3 x - 10}$
109454	Simplify	(x-2)/(x^2+x-12)+x/(x^2-2x-3)	$\frac{x - 2}{x^{2} + x - 12} + \frac{x}{x^{2} - 2 x - 3}$
109455	Simplify	(x-2)/(3x+9)*(2x+6)/(2x-4)	$\frac{x - 2}{3 x + 9} \cdot \frac{2 x + 6}{2 x - 4}$
109456	Convert to Interval Notation	(x+2)/(x-7)>=2/5	$\frac{x + 2}{x - 7} \geq \frac{2}{5}$
109457	Simplify	(x-3)/(x+2)*(x+3)/(x-3)	$\frac{x - 3}{x + 2} \cdot \frac{x + 3}{x - 3}$
109458	Convert to Interval Notation	((x+8)(x-10))/(x+6)<=0	$\frac{(x + 8) (x - 10)}{x + 6} \leq 0$
109459	Simplify	(-x-4)/(x^2-x-20)	$\frac{- x - 4}{x^{2} - x - 20}$
109460	Convert to Interval Notation	\|x-5\|>=4	$\| x - 5 \| \geq 4$
109461	Simplify	(y+4)/(y^2+y-6)-4/(y^2-4)	$\frac{y + 4}{y^{2} + y - 6} - \frac{4}{y^{2} - 4}$
109462	Simplify	(y-5)/(y^2-3y-10)+y/(y^2+y-2)	$\frac{y - 5}{y^{2} - 3 y - 10} + \frac{y}{y^{2} + y - 2}$
109463	Simplify	y^(-3/4)	$y^{- \frac{3}{4}}$
109464	Simplify	y^(5/6)	$y^{\frac{5}{6}}$
109465	Simplify	100(4)^(-0.5t)	$100 {(4)}^{- 0.5 t}$
109466	Simplify	1 1/2	$1 \frac{1}{2}$
109467	Find the Center and Radius	x^2+y^2+6x-2y-26=0	$x^{2} + y^{2} + 6 x - 2 y - 26 = 0$
109468	Simplify	2(x+1)(x-1)	$2 (x + 1) (x - 1)$
109469	Simplify	1-x	$1 - x$
109470	Find the Discriminant	n^2+2n-2=0	$n^{2} + 2 n - 2 = 0$
109471	Simplify	18-2(x+(x-5))	$18 - 2 (x + (x - 5))$
109472	Write as a Single Logarithm	1/2 log of r+1/3 log of s-1/4 log of t	$\frac{1}{2} \log (r) + \frac{1}{3} \log (s) - \frac{1}{4} \log (t)$
109473	Simplify	2(2n+3)	$2 (2 n + 3)$
109474	Write as a Single Logarithm	natural log of 9+ natural log of 2	$\ln (9) + \ln (2)$
109475	Simplify	-2(4x-3)-2	$- 2 (4 x - 3) - 2$
109476	Simplify	-12i*(3i)	$- 12 i \cdot (3 i)$
109477	Simplify	( cube root of 32)/( cube root of 20)	$\frac{\sqrt[3]{32}}{\sqrt[3]{20}}$
109478	Find the Asymptotes	(x^2+x-6)/(x^2-9)	$\frac{x^{2} + x - 6}{x^{2} - 9}$
109479	Simplify	14-(10+x)	$14 - (10 + x)$
109480	Simplify	16 3/4	$16 \frac{3}{4}$
109481	Simplify	16x^2-49	$16 x^{2} - 49$
109482	Simplify	-16n-14n	$- 16 n - 14 n$
109483	Solve for x	7-6x<2x+89	$7 - 6 x < 2 x + 89$
109484	Graph	G(x)=(x-5)^2	$G (x) = {(x - 5)}^{2}$
109485	Find the Domain	f(x) = square root of 2x-16	$f (x) = \sqrt{2 x - 16}$
109486	Solve for x	7-x=5	$7 - x = 5$
109487	Solve for x	-7x>-56	$- 7 x > - 56$
109488	Solve for x	6x+3=2(5x+4)-3	$6 x + 3 = 2 (5 x + 4) - 3$
109489	Factor by Grouping	x^2+xy+8x+8y	$x^{2} + x y + 8 x + 8 y$
109490	Solve for x	6x(x-3)<2(3x-1)(x-4)	$6 x (x - 3) < 2 (3 x - 1) (x - 4)$
109491	Solve for x	-6x<18	$- 6 x < 18$
109492	Solve for x	-6x=12	$- 6 x = 12$
109493	Solve for x	6x>4(x-7)+17	$6 x > 4 (x - 7) + 17$
109494	Find the x and y Intercepts	h(x)=-3(x-4)(x+2)	$h (x) = - 3 (x - 4) (x + 2)$
109495	Solve for x	-6x-1=23	$- 6 x - 1 = 23$
109496	Solve for x	6x-4<2x	$6 x - 4 < 2 x$
109497	Solve for x	6-2/3x<x-9	$6 - \frac{2}{3} x < x - 9$
109498	Solve for x	5x+2<4x-4	$5 x + 2 < 4 x - 4$
109499	Find the x and y Intercepts	x^2+y^2-6x-2y-26=0	$x^{2} + y^{2} - 6 x - 2 y - 26 = 0$
109500	Solve for x	5x+2=3x-6	$5 x + 2 = 3 x - 6$