Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237401	Simplify	(p+r)(p-r)(p+r)	$(p + r) (p - r) (p + r)$
237402	Simplify	(2x^2y^3)^4(-xy^2)^2	${(2 x^{2} y^{3})}^{4} {(- x y^{2})}^{2}$
237403	Simplify	5f^2g(-2(fg^3))g^4	$(5 f^{2} g) (- 2 f g^{3}) (g^{4})$
237404	Divide	(10 square root of 2)/2	$\frac{10 \sqrt{2}}{2}$
237405	Graph Using a Table of Values	f(x) = square root of x+6	$f (x) = \sqrt{x + 6}$
237406	Graph	y<2x-5 2x+2y>8	$y < 2 x - 5$ $2 x + 2 y > 8$
237407	Write the Fraction in Simplest Form	3/2*10/9	$\frac{3}{2} \cdot \frac{10}{9}$
237408	Solve the Absolute Value Inequality for y	\|y\|+1=3	$\| y \| + 1 = 3$
237409	Solve for x	square root of 3x-8-9=-7	$\sqrt{3 x - 8 - 9} = - 7$
237410	Solve for x	\|x/2-1/3\|=1	$\| \frac{x}{2} - \frac{1}{3} \| = 1$
237411	Divide	((35x^2+50x)/(5x))÷((7x^2+66x+80)/(3x-3))	$\frac{35 x^{2} + 50 x}{5 x} \div \frac{7 x^{2} + 66 x + 80}{3 x - 3}$
237412	Solve for x	0.2(x+3)-0.4(x+3)=-0.2x-0.6	$0.2 (x + 3) - 0.4 (x + 3) = - 0.2 x - 0.6$
237413	Solve for n	0.3325=(n^2-1)/(3n^2)	$0.3325 = \frac{n^{2} - 1}{3 n^{2}}$
237414	Solve the System of Equations	y=x^2-4x+2 y=-3/4x-1	$y = x^{2} - 4 x + 2$ $y = - \frac{3}{4} x - 1$
237415	Subtract	(5r)/(r^2-9)-(4r+1)/(r^2-6r+9)	$\frac{5 r}{r^{2} - 9} - \frac{4 r + 1}{r^{2} - 6 r + 9}$
237416	Simplify	(j^2+7j+6)/(12j^3-14j^2-10j)	$\frac{j^{2} + 7 j + 6}{12 j^{3} - 14 j^{2} - 10 j}$
237417	Find the Inverse	f(x)=5(( cube root of x)/6+10)	$f (x) = 5 (\frac{\sqrt[3]{x}}{6} + 10)$
237418	Plot	x+y<=3	$x + y \leq 3$
237419	Graph	-3x+10<=-2 and -17<-3x+10	$- 3 x + 10 \leq - 2$ and $- 17 < - 3 x + 10$
237420	Write as a Single Logarithm	4* log base 4 of a+2* log base 4 of b	$4 \cdot \log_{4} (a) + 2 \cdot \log_{4} (b)$
237421	Multiply	x(1/x)	$x (\frac{1}{x})$
237422	Solve for x	x^(2/3)=2x^(1/3)	$x^{\frac{2}{3}} = 2 x^{\frac{1}{3}}$
237423	Find the Domain and Range	f(x)=(x^2+5x+4)/(3x^2-12)	$f (x) = \frac{x^{2} + 5 x + 4}{3 x^{2} - 12}$
237424	Find g(f(x))	f(x)=x^2-x+7 g(x)=-2x+14	$f (x) = x^{2} - x + 7$ $g (x) = - 2 x + 14$
237425	Divide Using Long Polynomial Division	(8x^5+6x^4-x^3+1)÷(2x^3-x^2-3)	$(8 x^{5} + 6 x^{4} - x^{3} + 1) \div (2 x^{3} - x^{2} - 3)$
237426	Simplify the Radical Expression	square root of 9^2	$\sqrt{9^{2}}$
237427	Solve for x	log base 3 of 2x^2+2- log base 3 of x+3=0	$\log_{3} (2 x^{2} + 2) - \log_{3} (x + 3) = 0$
237428	Graph	\|y\|>=x	$\| y \| \geq x$
237429	Solve for w	4w+5+33=90	$4 w + 5 + 33 = 90$
237430	Solve for y	square root of 3y=9	$\sqrt{3 y} = 9$
237431	Solve for θ	1+cos(theta)=0	$1 + \cos (θ) = 0$
237432	Find the Product	(48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)	$\frac{48 x^{5} y^{3}}{y^{4}} \cdot \frac{x^{2} y}{6 x^{3} y^{2}}$
237433	Solve the Absolute Value Inequality for y	20=\|3y-11\|	$20 = \| 3 y - 11 \|$
237434	Find the LCD	8/(x-7) and 1/(x+7)	$\frac{8}{x - 7}$ and $\frac{1}{x + 7}$
237435	Simplify	14-3z+8+z	$14 - 3 z + 8 + z$
237436	Solve the Rational Equation for x	(x-2)^(1/2)-(28-2x)^(1/4)=0	${(x - 2)}^{\frac{1}{2}} - {(28 - 2 x)}^{\frac{1}{4}} = 0$
237437	Solve for x	1/(2 square root of x)=1/2	$\frac{1}{2 \sqrt{x}} = \frac{1}{2}$
237438	Simplify	(x^8y^12)/(x^4y^3z^2)	$\frac{x^{8} y^{12}}{x^{4} y^{3} z^{2}}$
237439	Solve for x	2x-3(2x+2)=1-5(4x+3)	$2 x - 3 (2 x + 2) = 1 - 5 (4 x + 3)$
237440	Simplify	( square root of x+1)( square root of x+1)	$(\sqrt{x + 1}) (\sqrt{x + 1})$
237441	Solve for t	9-1/t=8/(t^2)	$9 - \frac{1}{t} = \frac{8}{t^{2}}$
237442	Solve for x	square root of x = cube root of x	$\sqrt{x} = \sqrt[3]{x}$
237443	Evaluate	(4x^5+11)^2	${(4 x^{5} + 11)}^{2}$
237444	Solve the Inequality for m	-3m>=-27	$- 3 m \geq - 27$
237445	Factor	Factor x^2+4x+3	Factor $x^{2} + 4 x + 3$
237446	Graph	-y<=3x	$- y \leq 3 x$
237447	Evaluate	3/4(4h-6)	$\frac{3}{4} (4 h - 6)$
237448	Evaluate	tan(arccos(-( square root of 3)/2))	$\tan (\arccos (- \frac{\sqrt{3}}{2}))$
237449	Simplify the Radical Expression	cube root of 5^2* fourth root of 5^3	$\sqrt[3]{5^{2}} \cdot \sqrt[4]{5^{3}}$
237450	Solve for x	y=(x-8)(x+8)	$y = (x - 8) (x + 8)$
237451	Find the Equation Using Slope-Intercept Form	m=3 and (0,-6)	$m = 3$ and $(0, - 6)$
237452	Evaluate	1/(cos(pi/9)^2)-1/(cot(pi/9)^2)	$\frac{1}{\cos^{2} (\frac{π}{9})} - \frac{1}{\cot^{2} (\frac{π}{9})}$
237453	Simplify	(x^2+4x-5)/(x^2+7x-8)(20x-4x^2)/(x^2+x-30)(x^2+14x+48)/(x+5)	$\frac{x^{2} + 4 x - 5}{x^{2} + 7 x - 8} \cdot \frac{20 x - 4 x^{2}}{x^{2} + x - 30} \cdot \frac{x^{2} + 14 x + 48}{x + 5}$
237454	Evaluate	csc(theta)=-2	$\csc (θ) = - 2$
237455	Simplify	(1 3/5+1 3/5)/(4 1/3-1 1/5)	$\frac{(1 \frac{3}{5} + 1 \frac{3}{5})}{(4 \frac{1}{3} - 1 \frac{1}{5})}$
237456	Solve the Inequality for h	(3/2)h+12>=6	$(\frac{3}{2}) h + 12 \geq 6$
237457	Find the Exact Value	2/3*6	$\frac{2}{3} \cdot 6$
237458	Simplify	(-x^3yz^-1)(2x^5y^-1z^-3)^3	$(- x^{3} y z^{- 1}) {(2 x^{5} y^{- 1} z^{- 3})}^{3}$
237459	Identify the Sequence	-3 , -1 , -1/3 , -1/9	$- 3$ , $- 1$ , $- \frac{1}{3}$ , $- \frac{1}{9}$
237460	Find the Complex Conjugate	i+4	$i + 4$
237461	Simplify	(7/(9x^3))/(5/(3x^2))	$\frac{\frac{7}{9 x^{3}}}{\frac{5}{3 x^{2}}}$
237462	Factor by Grouping	x^4-3x^2+2	$x^{4} - 3 x^{2} + 2$
237463	Solve Using the Quadratic Formula	(x-2)^2-20=-45	${(x - 2)}^{2} - 20 = - 45$
237464	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 $- \frac{1}{3}$ ?
237465	Find All Complex Solutions	csc(theta)=-2	$\csc (θ) = - 2$
237466	Evaluate	cos(arcsin(2x))	$\cos (\arcsin (2 x))$
237467	Simplify	(9xy+y-2x)-(6xy-2x)	$(9 x y + y - 2 x) - (6 x y - 2 x)$
237468	Solve for y	5-(y-3)=3x	$5 - (y - 3) = 3 x$
237469	Evaluate	square root of 2sin(x)+1=0	$\sqrt{2} \sin (x) + 1 = 0$
237470	Graph	-x-y<=2 y-2x>1	$- x - y \leq 2$ $y - 2 x > 1$
237471	Solve the Rational Equation for x	(x+3)/(x-3)+x/(x-5)=(x+5)/(x-5)	$\frac{x + 3}{x - 3} + \frac{x}{x - 5} = \frac{x + 5}{x - 5}$
237472	Simplify	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
237473	Solve the Absolute Value Inequality for x	\|x\|>=0	$\| x \| \geq 0$
237474	Find the Equation Given the Roots	-8+5i , 7i	$- 8 + 5 i$ , $7 i$
237475	Solve for x	5/(x-5)=7+x/(x-5)	$\frac{5}{x - 5} = 7 + \frac{x}{x - 5}$
237476	Simplify	1/(n^7*n^-5)	$\frac{1}{n^{7} \cdot n^{- 5}}$
237477	Simplify	sin(theta)cos(30)+cos(theta)sin(30)	$\sin (θ) \cos (30) + \cos (θ) \sin (30)$
237478	Simplify	3a(2+5b)	$3 a (2 + 5 b)$
237479	Solve for y	M=(x-y)/9	$M = \frac{x - y}{9}$
237480	Graph	x-y<=2 x+2y>=8 y<=4	$x - y \leq 2$ $x + 2 y \geq 8$ $y \leq 4$
237481	Simplify the Radical Expression	(x^-8*x^-6)^(1/6)	${(x^{- 8} \cdot x^{- 6})}^{\frac{1}{6}}$
237482	Convert to a Percentage	0.7 as a percentage	$0.7$ as a percentage
237483	Simplify the Radical Expression	12 root of 64	$\sqrt[12]{64}$
237484	Factor	x^4-x^2+x^3-x-6x^2+6	$x^{4} - x^{2} + x^{3} - x - 6 x^{2} + 6$
237485	Solve for x	3/4x=7-x	$\frac{3}{4} x = 7 - x$
237486	Evaluate	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
237487	Solve the Inequality for v	v/3<=-14	$\frac{v}{3} \leq - 14$
237488	Solve for R	R=2/3( log of E/(10^4.40))	$R = \frac{2}{3} (\log (\frac{E}{10^{4.4}}))$
237489	Solve for x	y=(ax+b)/(cx+d)	$y = \frac{a x + b}{c x + d}$
237490	Simplify	((18xy^3)/(7a^2b^2))÷((12x^2y)/(35a^2b))	$\frac{18 x y^{3}}{7 a^{2} b^{2}} \div \frac{12 x^{2} y}{35 a^{2} b}$
237491	Simplify	(24x^3)/(25y^5)*(15y^2)/(8x^2)	$\frac{24 x^{3}}{25 y^{5}} \cdot \frac{15 y^{2}}{8 x^{2}}$
237492	Simplify	(3xy^2+12x^2y)/(3xy)	$\frac{3 x y^{2} + 12 x^{2} y}{3 x y}$
237493	Divide	((3j^2)/(5k))÷((6j)/(10k))	$\frac{3 j^{2}}{5 k} \div \frac{6 j}{10 k}$
237494	Find the Domain and Range	y=(x-1)/(x^2-5x+4)	$y = \frac{x - 1}{x^{2} - 5 x + 4}$
237495	Multiply	( square root of 3)/2*1/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
237496	Rationalize the Denominator	( square root of 3)/( fourth root of 3)	$\frac{\sqrt{3}}{\sqrt[4]{3}}$
237497	Simplify	((3)^-1)/7	$\frac{{(3)}^{- 1}}{7}$
237498	Solve for t	t^3=-343	$t^{3} = - 343$
237499	Graph	y=x^4+x^3-7x^2-x+6	$y = x^{4} + x^{3} - 7 x^{2} - x + 6$
237500	Graph	f(x)=x+2 if x<0; 1-x if x>=0	$f (x) = {\begin{cases} x + 2 & x < 0 \\ 1 - x & x \geq 0 \end{cases}$