Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237401	Find the Inverse	f(x)=5(( cube root of x)/6+10)	$f (x) = 5 (\frac{\sqrt[3]{x}}{6} + 10)$
237402	Plot	x+y<=3	$x + y \leq 3$
237403	Graph	-3x+10<=-2 and -17<-3x+10	$- 3 x + 10 \leq - 2$ and $- 17 < - 3 x + 10$
237404	Write as a Single Logarithm	4* log base 4 of a+2* log base 4 of b	$4 \cdot \log_{4} (a) + 2 \cdot \log_{4} (b)$
237405	Multiply	x(1/x)	$x (\frac{1}{x})$
237406	Solve for x	x^(2/3)=2x^(1/3)	$x^{\frac{2}{3}} = 2 x^{\frac{1}{3}}$
237407	Find the Domain and Range	f(x)=(x^2+5x+4)/(3x^2-12)	$f (x) = \frac{x^{2} + 5 x + 4}{3 x^{2} - 12}$
237408	Find g(f(x))	f(x)=x^2-x+7 g(x)=-2x+14	$f (x) = x^{2} - x + 7$ $g (x) = - 2 x + 14$
237409	Divide Using Long Polynomial Division	(8x^5+6x^4-x^3+1)÷(2x^3-x^2-3)	$(8 x^{5} + 6 x^{4} - x^{3} + 1) \div (2 x^{3} - x^{2} - 3)$
237410	Simplify the Radical Expression	square root of 9^2	$\sqrt{9^{2}}$
237411	Solve for x	log base 3 of 2x^2+2- log base 3 of x+3=0	$\log_{3} (2 x^{2} + 2) - \log_{3} (x + 3) = 0$
237412	Graph	\|y\|>=x	$\| y \| \geq x$
237413	Solve for w	4w+5+33=90	$4 w + 5 + 33 = 90$
237414	Solve for y	square root of 3y=9	$\sqrt{3 y} = 9$
237415	Solve for θ	1+cos(theta)=0	$1 + \cos (θ) = 0$
237416	Find the Product	(48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)	$\frac{48 x^{5} y^{3}}{y^{4}} \cdot \frac{x^{2} y}{6 x^{3} y^{2}}$
237417	Solve the Absolute Value Inequality for y	20=\|3y-11\|	$20 = \| 3 y - 11 \|$
237418	Find the LCD	8/(x-7) and 1/(x+7)	$\frac{8}{x - 7}$ and $\frac{1}{x + 7}$
237419	Simplify	14-3z+8+z	$14 - 3 z + 8 + z$
237420	Solve the Rational Equation for x	(x-2)^(1/2)-(28-2x)^(1/4)=0	${(x - 2)}^{\frac{1}{2}} - {(28 - 2 x)}^{\frac{1}{4}} = 0$
237421	Solve for x	1/(2 square root of x)=1/2	$\frac{1}{2 \sqrt{x}} = \frac{1}{2}$
237422	Simplify	(x^8y^12)/(x^4y^3z^2)	$\frac{x^{8} y^{12}}{x^{4} y^{3} z^{2}}$
237423	Solve for x	2x-3(2x+2)=1-5(4x+3)	$2 x - 3 (2 x + 2) = 1 - 5 (4 x + 3)$
237424	Simplify	( square root of x+1)( square root of x+1)	$(\sqrt{x + 1}) (\sqrt{x + 1})$
237425	Solve for t	9-1/t=8/(t^2)	$9 - \frac{1}{t} = \frac{8}{t^{2}}$
237426	Solve for x	square root of x = cube root of x	$\sqrt{x} = \sqrt[3]{x}$
237427	Evaluate	(4x^5+11)^2	${(4 x^{5} + 11)}^{2}$
237428	Solve the Inequality for m	-3m>=-27	$- 3 m \geq - 27$
237429	Factor	Factor x^2+4x+3	Factor $x^{2} + 4 x + 3$
237430	Graph	-y<=3x	$- y \leq 3 x$
237431	Evaluate	3/4(4h-6)	$\frac{3}{4} (4 h - 6)$
237432	Evaluate	tan(arccos(-( square root of 3)/2))	$\tan (\arccos (- \frac{\sqrt{3}}{2}))$
237433	Simplify the Radical Expression	cube root of 5^2* fourth root of 5^3	$\sqrt[3]{5^{2}} \cdot \sqrt[4]{5^{3}}$
237434	Solve for x	y=(x-8)(x+8)	$y = (x - 8) (x + 8)$
237435	Find the Equation Using Slope-Intercept Form	m=3 and (0,-6)	$m = 3$ and $(0, - 6)$
237436	Evaluate	1/(cos(pi/9)^2)-1/(cot(pi/9)^2)	$\frac{1}{\cos^{2} (\frac{π}{9})} - \frac{1}{\cot^{2} (\frac{π}{9})}$
237437	Simplify	(x^2+4x-5)/(x^2+7x-8)(20x-4x^2)/(x^2+x-30)(x^2+14x+48)/(x+5)	$\frac{x^{2} + 4 x - 5}{x^{2} + 7 x - 8} \cdot \frac{20 x - 4 x^{2}}{x^{2} + x - 30} \cdot \frac{x^{2} + 14 x + 48}{x + 5}$
237438	Evaluate	csc(theta)=-2	$\csc (θ) = - 2$
237439	Simplify	(1 3/5+1 3/5)/(4 1/3-1 1/5)	$\frac{(1 \frac{3}{5} + 1 \frac{3}{5})}{(4 \frac{1}{3} - 1 \frac{1}{5})}$
237440	Solve the Inequality for h	(3/2)h+12>=6	$(\frac{3}{2}) h + 12 \geq 6$
237441	Find the Exact Value	2/3*6	$\frac{2}{3} \cdot 6$
237442	Simplify	(-x^3yz^-1)(2x^5y^-1z^-3)^3	$(- x^{3} y z^{- 1}) {(2 x^{5} y^{- 1} z^{- 3})}^{3}$
237443	Identify the Sequence	-3 , -1 , -1/3 , -1/9	$- 3$ , $- 1$ , $- \frac{1}{3}$ , $- \frac{1}{9}$
237444	Find the Complex Conjugate	i+4	$i + 4$
237445	Simplify	(7/(9x^3))/(5/(3x^2))	$\frac{\frac{7}{9 x^{3}}}{\frac{5}{3 x^{2}}}$
237446	Factor by Grouping	x^4-3x^2+2	$x^{4} - 3 x^{2} + 2$
237447	Solve Using the Quadratic Formula	(x-2)^2-20=-45	${(x - 2)}^{2} - 20 = - 45$
237448	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,3) and has a slope of -1/3 ?	What is the equation of the line that passes through the point $(6, 3)$ and has a slope of $- \frac{1}{3}$ ?
237449	Find All Complex Solutions	csc(theta)=-2	$\csc (θ) = - 2$
237450	Evaluate	cos(arcsin(2x))	$\cos (\arcsin (2 x))$
237451	Simplify	(9xy+y-2x)-(6xy-2x)	$(9 x y + y - 2 x) - (6 x y - 2 x)$
237452	Solve for y	5-(y-3)=3x	$5 - (y - 3) = 3 x$
237453	Evaluate	square root of 2sin(x)+1=0	$\sqrt{2} \sin (x) + 1 = 0$
237454	Graph	-x-y<=2 y-2x>1	$- x - y \leq 2$ $y - 2 x > 1$
237455	Solve the Rational Equation for x	(x+3)/(x-3)+x/(x-5)=(x+5)/(x-5)	$\frac{x + 3}{x - 3} + \frac{x}{x - 5} = \frac{x + 5}{x - 5}$
237456	Simplify	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
237457	Solve the Absolute Value Inequality for x	\|x\|>=0	$\| x \| \geq 0$
237458	Find the Equation Given the Roots	-8+5i , 7i	$- 8 + 5 i$ , $7 i$
237459	Solve for x	5/(x-5)=7+x/(x-5)	$\frac{5}{x - 5} = 7 + \frac{x}{x - 5}$
237460	Simplify	1/(n^7*n^-5)	$\frac{1}{n^{7} \cdot n^{- 5}}$
237461	Simplify	sin(theta)cos(30)+cos(theta)sin(30)	$\sin (θ) \cos (30) + \cos (θ) \sin (30)$
237462	Simplify	3a(2+5b)	$3 a (2 + 5 b)$
237463	Solve for y	M=(x-y)/9	$M = \frac{x - y}{9}$
237464	Graph	x-y<=2 x+2y>=8 y<=4	$x - y \leq 2$ $x + 2 y \geq 8$ $y \leq 4$
237465	Simplify the Radical Expression	(x^-8*x^-6)^(1/6)	${(x^{- 8} \cdot x^{- 6})}^{\frac{1}{6}}$
237466	Convert to a Percentage	0.7 as a percentage	$0.7$ as a percentage
237467	Simplify the Radical Expression	12 root of 64	$\sqrt[12]{64}$
237468	Factor	x^4-x^2+x^3-x-6x^2+6	$x^{4} - x^{2} + x^{3} - x - 6 x^{2} + 6$
237469	Solve for x	3/4x=7-x	$\frac{3}{4} x = 7 - x$
237470	Evaluate	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
237471	Solve the Inequality for v	v/3<=-14	$\frac{v}{3} \leq - 14$
237472	Solve for R	R=2/3( log of E/(10^4.40))	$R = \frac{2}{3} (\log (\frac{E}{10^{4.4}}))$
237473	Solve for x	y=(ax+b)/(cx+d)	$y = \frac{a x + b}{c x + d}$
237474	Simplify	((18xy^3)/(7a^2b^2))÷((12x^2y)/(35a^2b))	$\frac{18 x y^{3}}{7 a^{2} b^{2}} \div \frac{12 x^{2} y}{35 a^{2} b}$
237475	Simplify	(24x^3)/(25y^5)*(15y^2)/(8x^2)	$\frac{24 x^{3}}{25 y^{5}} \cdot \frac{15 y^{2}}{8 x^{2}}$
237476	Simplify	(3xy^2+12x^2y)/(3xy)	$\frac{3 x y^{2} + 12 x^{2} y}{3 x y}$
237477	Divide	((3j^2)/(5k))÷((6j)/(10k))	$\frac{3 j^{2}}{5 k} \div \frac{6 j}{10 k}$
237478	Find the Domain and Range	y=(x-1)/(x^2-5x+4)	$y = \frac{x - 1}{x^{2} - 5 x + 4}$
237479	Multiply	( square root of 3)/2*1/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
237480	Rationalize the Denominator	( square root of 3)/( fourth root of 3)	$\frac{\sqrt{3}}{\sqrt[4]{3}}$
237481	Simplify	((3)^-1)/7	$\frac{{(3)}^{- 1}}{7}$
237482	Solve for t	t^3=-343	$t^{3} = - 343$
237483	Graph	y=x^4+x^3-7x^2-x+6	$y = x^{4} + x^{3} - 7 x^{2} - x + 6$
237484	Graph	f(x)=x+2 if x<0; 1-x if x>=0	$f (x) = {\begin{cases} x + 2 & x < 0 \\ 1 - x & x \geq 0 \end{cases}$
237485	Solve for x	10 square root of x/5=2 square root of 5x	$10 \sqrt{\frac{x}{5}} = 2 \sqrt{5 x}$
237486	Evaluate	(a+2b+3c)-(4a+6b-5c)	$(a + 2 b + 3 c) - (4 a + 6 b - 5 c)$
237487	Round to the Nearest Whole Number	16(1+0.09)^8	$16 {(1 + 0.09)}^{8}$
237488	Graph	(x^3)^(-)*5	${(x^{3})}^{-} \cdot 5$
237489	Simplify	(4r)/(r^2-1)-(3r+1)/(r^2-2r+1)	$\frac{4 r}{r^{2} - 1} - \frac{3 r + 1}{r^{2} - 2 r + 1}$
237490	Solve by Addition/Elimination	x-y=4 x-2y=10	$x - y = 4$ $x - 2 y = 10$
237491	Write in Standard Form	(x^2-x-2)(x^2-x-2)	$(x^{2} - x - 2) (x^{2} - x - 2)$
237492	Evaluate	2/(3(-1)^(1/3))	$\frac{2}{3 {(- 1)}^{\frac{1}{3}}}$
237493	Find the Exact Value	1/( log base 2 of 14)+1/( log base 7 of 14)	$\frac{1}{\log_{2} (14)} + \frac{1}{\log_{7} (14)}$
237494	Multiply	(xy)(xy)	$(x y) (x y)$
237495	Simplify	(2x-5)/x-4/(5x)-4	$\frac{2 x - 5}{x} - \frac{4}{5 x} - 4$
237496	Solve for x	2sin(x)^2+3cos(x)=0	$2 \sin^{2} (x) + 3 \cos (x) = 0$
237497	Solve for y	(y^2-11)^2-10(y^2-11)=-25	${(y^{2} - 11)}^{2} - 10 (y^{2} - 11) = - 25$
237498	Simplify	-(2p^4)^3(-1.5p^7)	$- {(2 p^{4})}^{3} (- 1.5 p^{7})$
237499	Solve Using the Quadratic Formula	3^2=6	$3^{2} = 6$
237500	Solve for x	6(x-6)=2(6+3x)	$6 (x - 6) = 2 (6 + 3 x)$