Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193401	Factor	g^3h-343h^4	$g^{3} h - 343 h^{4}$
193402	Write in Standard Form	x^2+y^2-2/5x+5y+5=0	$x^{2} + y^{2} - \frac{2}{5} x + 5 y + 5 = 0$
193403	Solve for x	(x+2)/(x^2-4)+11=8	$\frac{x + 2}{x^{2} - 4} + 11 = 8$
193404	Solve the Inequality for x	(4x-3)/(2x+1)<=3	$\frac{4 x - 3}{2 x + 1} \leq 3$
193405	Solve for x	-2/x=x/(5x-12)	$\frac{- 2}{x} = \frac{x}{5 x - 12}$
193406	Find the Directrix	x=-1/4(y+2)^2	$x = - \frac{1}{4} {(y + 2)}^{2}$
193407	Find the Exact Value	(- square root of 6- square root of 2)/4	$\frac{- \sqrt{6} - \sqrt{2}}{4}$
193408	Solve for x	-8x=6-8x	$- 8 x = 6 - 8 x$
193409	Factor	x^5-2x+x^3	$x^{5} - 2 x + x^{3}$
193410	Solve for x	3+x/4-1=-7	$3 + \frac{x}{4} - 1 = - 7$
193411	Simplify	(-5x^-2y)*(6x^7y^-1)+7x^5	$(- 5 x^{- 2} y) \cdot (6 x^{7} y^{- 1}) + 7 x^{5}$
193412	Simplify	square root of 9x^3+ square root of 25x^5- square root of x	$\sqrt{9 x^{3}} + \sqrt{25 x^{5}} - \sqrt{x}$
193413	Find the Exact Value	( square root of 5+ square root of 3)/( square root of 5- square root of 3)+( square root of 5- square root of 3)/( square root of 5+ square root of 3)	$\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}} + \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$
193414	Find the Exact Value	csc(-(7pi)/9)	$\csc (- \frac{7 π}{9})$
193415	Simplify	(ab+3)(3-ab)	$(a b + 3) (3 - a b)$
193416	Graph	y=1/2csc(x/2)	$y = \frac{1}{2} \csc (\frac{x}{2})$
193417	Find the Domain and Range	(x^2-9)/(x-3)	$\frac{x^{2} - 9}{x - 3}$
193418	Find the Distance Between Two Points	(3,-3) and (7,-8)	$(3, - 3)$ and $(7, - 8)$
193419	Simplify	6-(3x+10)+4(2-x)=15	$6 - (3 x + 10) + 4 (2 - x) = 15$
193420	Solve for x	5(x+1)-2x=2(3+x)	$5 (x + 1) - 2 x = 2 (3 + x)$
193421	Graph	f(x)=x if x>=0; -x if x<0	$f (x) = {\begin{cases} x & x \geq 0 \\ - x & x < 0 \end{cases}$
193422	Convert to a Decimal	cos(15)deg	$\cos (15)$ degrees
193423	Solve for x	4/(x-1)-5/(x-4)=-2/(x^2-5x+4)	$\frac{4}{x - 1} - \frac{5}{x - 4} = - \frac{2}{x^{2} - 5 x + 4}$
193424	Solve for x	8x-27-10-6x=15	$8 x - 27 - 10 - 6 x = 15$
193425	Solve the Inequality for z	(2z)/3-(3z)/4+(4z)/5-(5z)/6<7	$\frac{2 z}{3} - \frac{3 z}{4} + \frac{4 z}{5} - \frac{5 z}{6} < 7$
193426	Solve for x	\|3x+5\|=0	$\| 3 x + 5 \| = 0$
193427	Solve for a	( fifth root of x^4)/((x^(1/4))^5)=x^a	$\frac{\sqrt[5]{x^{4}}}{{(x^{\frac{1}{4}})}^{5}} = x^{a}$
193428	Solve for x	1+2/(x-9)=(x+3)/(x^2-12x+27)	$1 + \frac{2}{x - 9} = \frac{x + 3}{x^{2} - 12 x + 27}$
193429	Evaluate	square root of (-1)^2+( square root of 3)^2	$\sqrt{{(- 1)}^{2} + {(\sqrt{3})}^{2}}$
193430	Solve for x	log of x^2+1=5	$\log (x^{2}) + 1 = 5$
193431	Solve Using the Quadratic Formula	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
193432	Simplify	( square root of 3-2)/(5-2 square root of 3)	$\frac{\sqrt{3} - 2}{5 - 2 \sqrt{3}}$
193433	Find the Distance Between Two Points	(0,0) and (-12,5)	$(0, 0)$ and $(- 12, 5)$
193434	Simplify	(a/b+1)/(a/b-1)	$\frac{\frac{a}{b} + 1}{\frac{a}{b} - 1}$
193435	Simplify	x(2x)^2	$x {(2 x)}^{2}$
193436	Solve for x	y=a/(x^2)-c	$y = \frac{a}{x^{2}} - c$
193437	Convert to Interval Notation	x<=-11 or x>=9	$x \leq - 11$ or $x \geq 9$
193438	Write in Slope-Intercept Form	17x+3x=5+y	$17 x + 3 x = 5 + y$
193439	Evaluate	2^(3x+1)=7	$2^{3 x + 1} = 7$
193440	Evaluate	(10x^2-x+1)-(9x-2)	$(10 x^{2} - x + 1) - (9 x - 2)$
193441	Write in Standard Form	log base 11 of x+ log base 11 of 10x-1=1	$\log_{11} (x) + \log_{11} (10 x - 1) = 1$
193442	Solve for r	E=V+Ir	$E = V + I r$
193443	Solve for x	-2 cube root of 2x+10-1=3	$- 2 \sqrt[3]{2 x + 10} - 1 = 3$
193444	Solve Using the Quadratic Formula	6/x=7-2x	$\frac{6}{x} = 7 - 2 x$
193445	Simplify	-3x^2+2y^2+5xy-2y+5x^2-3y^2	$- 3 x^{2} + 2 y^{2} + 5 x y - 2 y + 5 x^{2} - 3 y^{2}$
193446	Evaluate	6+4*(5-7)^2	$6 + 4 \cdot {(5 - 7)}^{2}$
193447	Simplify	(3a^3-75a)/(a(a+5)(a+5))	$\frac{3 a^{3} - 75 a}{a (a + 5) (a + 5)}$
193448	Graph	y=-f(x+3)+2	$y = - f (x + 3) + 2$
193449	Solve for x	3(x-1)+5=6-(x+2)	$3 (x - 1) + 5 = 6 - (x + 2)$
193450	Find the Roots (Zeros)	f(x)=x^6+x^4-30x^2	$f (x) = x^{6} + x^{4} - 30 x^{2}$
193451	Graph	c-10+3c<2	$c - 10 + 3 c < 2$
193452	Solve for h	A=2pir^2+2pirh for h	$A = 2 π r^{2} + 2 π r h$ for $h$
193453	Solve for z	z-3/4=-1/3	$z - \frac{3}{4} = - \frac{1}{3}$
193454	Solve for x	x^2=4(4+21)	$x^{2} = 4 (4 + 21)$
193455	Find the End Behavior	f(x)=48x^2-128x-2x^4+96	$f (x) = 48 x^{2} - 128 x - 2 x^{4} + 96$
193456	Solve for y	log of 5+ log of y = log of 40	$\log (5) + \log (y) = \log (40)$
193457	Solve the System of Inequalities	3>=(7-x)/2>=1	$3 \geq \frac{7 - x}{2} \geq 1$
193458	Find the x and y Intercepts	y=x square root of x+5	$y = x \sqrt{x + 5}$
193459	Solve for x	(x+2)/9-(2x+9)/5=2x+3	$\frac{x + 2}{9} - \frac{2 x + 9}{5} = 2 x + 3$
193460	Factor by Grouping	75a^2c-45a^2d-30bc+18bd	$75 a^{2} c - 45 a^{2} d - 30 b c + 18 b d$
193461	Find the Distance Between Two Points	(-4,2) and (2,-6)	$(- 4, 2)$ and $(2, - 6)$
193462	Solve for X	(X-4)/9=-4	$\frac{X - 4}{9} = - 4$
193463	Graph	y^2=16/3x	$y^{2} = \frac{16}{3} x$
193464	Solve Using the Quadratic Formula	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
193465	Find the Axis of Symmetry	4x^2-3y^2=12	$4 x^{2} - 3 y^{2} = 12$
193466	Evaluate	(3/2)	$(\frac{3}{2})$
193467	Graph	y<=\|x\|-3	$y \leq \| x \| - 3$
193468	Solve for x	2=3/(2x-1)+-1/((2x-1)^2)	$2 = \frac{3}{2 x - 1} + \frac{- 1}{{(2 x - 1)}^{2}}$
193469	Factor	192a^2b-300a^2bc^4	$192 a^{2} b - 300 a^{2} b c^{4}$
193470	Find the Exact Value	pi/4+2pi	$\frac{π}{4} + 2 π$
193471	Simplify	k+1/3(42+48k)	$k + \frac{1}{3} (42 + 48 k)$
193472	Factor	6(x-5)^3(7x+3)^4+(x-5)^4(7x+3)^3	$6 {(x - 5)}^{3} {(7 x + 3)}^{4} + {(x - 5)}^{4} {(7 x + 3)}^{3}$
193473	Graph	G(x)=1/2 cube root of x	$G (x) = \frac{1}{2} \sqrt[3]{x}$
193474	Solve the Inequality for x	x-(7x-3)<7-4x-5	$x - (7 x - 3) < 7 - 4 x - 5$
193475	Solve for x	a=(dx)/c	$a = \frac{d x}{c}$
193476	Simplify	1/((2 square root of 5)/5)	$\frac{1}{\frac{2 \sqrt{5}}{5}}$
193477	Solve the Absolute Value Inequality for x	(\|2+3x\|)/2>=5	$\frac{\| 2 + 3 x \|}{2} \geq 5$
193478	Solve the Inequality for x	2x^2-6x+3<0	$2 x^{2} - 6 x + 3 < 0$
193479	Find All Complex Solutions	2-x=x-8	$2 - x = x - 8$
193480	Solve for m	10m-1<=4m-3	$10 m - 1 \leq 4 m - 3$
193481	Subtract	(-5x^2-2x+5)-(-1+3x+x^2-x^3)	$(- 5 x^{2} - 2 x + 5) - (- 1 + 3 x + x^{2} - x^{3})$
193482	Solve for x	(2x-1)/4-(3x-2)/5=1/10	$\frac{2 x - 1}{4} - \frac{3 x - 2}{5} = \frac{1}{10}$
193483	Simplify	4c^8d^-3*5c^-5d^-1	$4 c^{8} d^{- 3} \cdot 5 c^{- 5} d^{- 1}$
193484	Solve for x	x-(5x-1)-(7-5x)/10=1	$x - (5 x - 1) - \frac{7 - 5 x}{10} = 1$
193485	Simplify	square root of 4* square root of 36	$\sqrt{4} \cdot \sqrt{36}$
193486	Evaluate	square root of 1+2	$\sqrt{1} + 2$
193487	Graph	y=x^3-2,x<1; x^2+4,x>=1	$y = {\begin{cases} x^{3} - 2, x < 1 \\ x^{2} + 4, x \geq 1 \end{cases}$
193488	Factor	e^(2x)-1	$e^{2 x} - 1$
193489	Solve the System of Equations	-x+y=4 x+3y=4	$- x + y = 4$ $x + 3 y = 4$
193490	Find the Domain and Range	y=2+(x^2)/(x^2+4)	$y = 2 + \frac{x^{2}}{x^{2} + 4}$
193491	Factor	R(x)=(x^2+4x-32)/(x^2-2x-8)	$R (x) = \frac{x^{2} + 4 x - 32}{x^{2} - 2 x - 8}$
193492	Find the Exact Value	2^2*2^3	$2^{2} \cdot 2^{3}$
193493	Simplify	(-2y)/(2y^2+5y)+(y-3)/(2y^2+y-10)	$\frac{- 2 y}{2 y^{2} + 5 y} + \frac{y - 3}{2 y^{2} + y - 10}$
193494	Solve for a	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
193495	Multiply	(2a^2b)/(b^2c)*b/a	$\frac{2 a^{2} b}{b^{2} c} \cdot \frac{b}{a}$
193496	Simplify	(-20(m^2v)(-v)^3)/(5(-v)^2(-m^4))	$\frac{- 20 (m^{2} v) {(- v)}^{3}}{5 {(- v)}^{2} (- m^{4})}$
193497	Find All Complex Solutions	7(2m+3)-5m=2(4m+8)+9	$7 (2 m + 3) - 5 m = 2 (4 m + 8) + 9$
193498	Solve for x	2vx-2gt=6	$2 v x - 2 g t = 6$
193499	Solve the Inequality for x	(x+2)/(x+3)<=0	$\frac{x + 2}{x + 3} \leq 0$
193500	Solve the System of Equations	10x+7y-2z=46 3x-2y+9z=22 5x+y-3z=28	$10 x + 7 y - 2 z = 46$ $3 x - 2 y + 9 z = 22$ $5 x + y - 3 z = 28$