Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187201	Solve for x	-5=3 1/2x	$- 5 = 3 \frac{1}{2} x$
187202	Solve for y	natural log of 2y-1=3	$\ln (2 y - 1) = 3$
187203	Evaluate	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
187204	Simplify	(3x-1)/(2x)+(3x)/(x-1)	$\frac{3 x - 1}{2 x} + \frac{3 x}{x - 1}$
187205	Simplify	(24a^-7b^-2c)/(6a^-2b^-3c^-6)	$\frac{24 a^{- 7} b^{- 2} c}{6 a^{- 2} b^{- 3} c^{- 6}}$
187206	Simplify	((x^2-9)/(x^2-5x+6))÷((x^2+5x+6)/(x^2-4))	$\frac{x^{2} - 9}{x^{2} - 5 x + 6} \div \frac{x^{2} + 5 x + 6}{x^{2} - 4}$
187207	Solve for x	x-1=(x^2-4x+3)/(x+2)	$x - 1 = \frac{x^{2} - 4 x + 3}{x + 2}$
187208	Find the Roots (Zeros)	-x=-6x^2+1	$- x = - 6 x^{2} + 1$
187209	Simplify	(-12az^2-2z^3)+(-2a^3+7a^2z)-(-4a^2z+8az^2)	$(- 12 a z^{2} - 2 z^{3}) + (- 2 a^{3} + 7 a^{2} z) - (- 4 a^{2} z + 8 a z^{2})$
187210	Solve by Factoring	0=-x^2+6x	$0 = - x^{2} + 6 x$
187211	Subtract	Subtract -7x^2+4x+2 from x^2-3	Subtract $- 7 x^{2} + 4 x + 2$ from $x^{2} - 3$
187212	Convert to Interval Notation	1/2+12/(x^2)>5/x	$\frac{1}{2} + \frac{12}{x^{2}} > \frac{5}{x}$
187213	Find the Domain and Range	f(x)=-1/2(x+3)^2	$f (x) = - \frac{1}{2} {(x + 3)}^{2}$
187214	Find the Holes in the Graph	(5x)/(2x-5)	$\frac{5 x}{2 x - 5}$
187215	Solve for x	3^(2x+1)*3^x=243	$3^{2 x + 1} \cdot 3^{x} = 243$
187216	Solve the Inequality for x	x^2+14x+49>=0	$x^{2} + 14 x + 49 \geq 0$
187217	Find f(g(x))	f(x)=x+6 and g(x)=x-6	$f (x) = x + 6$ and $g (x) = x - 6$
187218	Factor	x^2+x-56=0	$x^{2} + x - 56 = 0$
187219	Solve the Inequality for x	6(3x-7)<=7x+13	$6 (3 x - 7) \leq 7 x + 13$
187220	Solve the Inequality for x	(x+1)(x+5)(x-9)>=0	$(x + 1) (x + 5) (x - 9) \geq 0$
187221	Evaluate	-3(2+4k)+7(2k-1)	$- 3 (2 + 4 k) + 7 (2 k - 1)$
187222	Write in Standard Form	-7+5m^3+9m-3m^2	$- 7 + 5 m^{3} + 9 m - 3 m^{2}$
187223	Solve for a	-7+3/5a=3/10a-4	$- 7 + \frac{3}{5} a = \frac{3}{10} a - 4$
187224	Graph	f(x)=[1/2x]	$f (x) = [\frac{1}{2} x]$
187225	Simplify	10 square root of 10*4 square root of 12	$10 \sqrt{10} \cdot 4 \sqrt{12}$
187226	Solve for a	7/(a-4)=14/6	$\frac{7}{a - 4} = \frac{14}{6}$
187227	Solve for x	a=c/(b-x)	$a = \frac{c}{b - x}$
187228	Solve for x	(x,-4) and (2,8) , m=-3	$(x, - 4)$ and $(2, 8)$ , $m = - 3$
187229	Simplify	2xx3yyy	$2 \cdot x \cdot x \cdot 3 \cdot y \cdot y \cdot y$
187230	Solve the Inequality for y	2y<=-3	$2 y \leq - 3$
187231	Solve for x	\|2(x-3)+5\|-4=6x	$\| 2 (x - 3) + 5 \| - 4 = 6 x$
187232	Graph	x+5y=3 2x-3y=1	$x + 5 y = 3$ $2 x - 3 y = 1$
187233	Solve for x	1+5/(x+5)=3/(x^2+13x+40)	$1 + \frac{5}{x + 5} = \frac{3}{x^{2} + 13 x + 40}$
187234	Simplify	(1/x-x/9)/((x^2)/9+x/3)	$\frac{\frac{1}{x} - \frac{x}{9}}{\frac{x^{2}}{9} + \frac{x}{3}}$
187235	Simplify	3/2049/1120/3	$\frac{3}{20} \cdot \frac{49}{11} \cdot \frac{20}{3}$
187236	Solve for n	n = square root of 12-n	$n = \sqrt{12 - n}$
187237	Simplify	(x^2-5x+13)+(x^2+3x-6)	$(x^{2} - 5 x + 13) + (x^{2} + 3 x - 6)$
187238	Solve for x	(2x+1)^-2=10-e^(x^2+2)	${(2 x + 1)}^{- 2} = 10 - e^{x^{2} + 2}$
187239	Solve for x	-5/(x-5)=1-2/(x+9)	$\frac{- 5}{x - 5} = 1 - \frac{2}{x + 9}$
187240	Solve the Inequality for w	-36-2(w+77)>-4(2w+52)	$- 36 - 2 (w + 77) > - 4 (2 w + 52)$
187241	Solve for v	square root of 3-2v+17=20	$\sqrt{3 - 2 v} + 17 = 20$
187242	Find the Roots (Zeros)	f(x)=sin(x)	$f (x) = \sin (x)$
187243	Solve Using the Quadratic Formula	3x^2-4ax-2a^2=0	$3 x^{2} - 4 a x - 2 a^{2} = 0$
187244	Evaluate	40% of 80	$40 %$ of $80$
187245	Solve for n	square root of 6n-5+1=8	$\sqrt{6 n - 5} + 1 = 8$
187246	Simplify	(-3xy^2)^3*(-2/3x^2y^3)^4	${(- 3 x y^{2})}^{3} \cdot {(- \frac{2}{3} x^{2} y^{3})}^{4}$
187247	Find the Domain and Range	f(x)=3 cube root of -2x+1	$f (x) = 3 \sqrt[3]{- 2 x} + 1$
187248	Subtract	subtract -7x-9 from -4x^2+3x-5	subtract $- 7 x - 9$ from $- 4 x^{2} + 3 x - 5$
187249	Solve the Inequality for x	(x-3)(x+5)<0	$(x - 3) (x + 5) < 0$
187250	Find the Exact Value	square root of 3+ square root of 3	$\sqrt{3} + \sqrt{3}$
187251	Find the Exact Value	3^2+5(5-2)	$3^{2} + 5 (5 - 2)$
187252	Evaluate	(f(3+h)-f(3))/h	$\frac{f (3 + h) - f (3)}{h}$
187253	Find g(f(x))	f(x)=3x-3 and g(x)=4x^2-3	$f (x) = 3 x - 3$ and $g (x) = 4 x^{2} - 3$
187254	Find the Symmetry	y=1/4x^3	$y = \frac{1}{4} x^{3}$
187255	Evaluate	(3(16)^(1/2))/2	$\frac{3 {(16)}^{\frac{1}{2}}}{2}$
187256	Solve for x	2x+y=9 and 2x-y=11	$2 x + y = 9$ and $2 x - y = 11$
187257	Solve for x	log base x+6 of 2x^2-4x=2	$\log_{x + 6} (2 x^{2} - 4 x) = 2$
187258	Solve the Inequality for y	2-3y>16	$2 - 3 y > 16$
187259	Solve the System of Equations	-x+3y+z=3 x-y+2z=0 3x-5y+2z=-2	$- x + 3 y + z = 3$ $x - y + 2 z = 0$ $3 x - 5 y + 2 z = - 2$
187260	Graph	g(x)=(x+1)(x^2-16)	$g (x) = (x + 1) (x^{2} - 16)$
187261	Solve for z	z^2=1	$z^{2} = 1$
187262	Find the Domain and Range	y=6sin(1/6x)	$y = 6 \sin (\frac{1}{6} x)$
187263	Solve the Inequality for x	3(x-3)-5x>-3x-6	$3 (x - 3) - 5 x > - 3 x - 6$
187264	Solve the System of Equations	y=2x^2+-1 and y=-2x^2+3	$y = 2 x^{2} + - 1$ and $y = - 2 x^{2} + 3$
187265	Solve the System of Equations	3x-y=5 , y=7-x	$3 x - y = 5$ , $y = 7 - x$
187266	Solve for b	b/(a+5)=3	$\frac{b}{a + 5} = 3$
187267	Find the Function	f(x)=1/2x+2	$f (x) = \frac{1}{2} x + 2$
187268	Find the Inverse	f(x)=(2x-5)/(3x)	$f (x) = \frac{2 x - 5}{3 x}$
187269	Graph	x^2+6x+5>=0	$x^{2} + 6 x + 5 \geq 0$
187270	Solve for x	5(x-6)+8-2x=x+2(x-11)	$5 (x - 6) + 8 - 2 x = x + 2 (x - 11)$
187271	Find the Distance Between Two Points	(3,-2) and (7,6)	$(3, - 2)$ and $(7, 6)$
187272	Graph	y^2+16x+4y-28=0	$y^{2} + 16 x + 4 y - 28 = 0$
187273	Solve for x	x+4/3=31/2	$x + \frac{4}{3} = \frac{31}{2}$
187274	Evaluate	(-( square root of 2)/2)÷(( square root of 2)/2)	$- \frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
187275	Solve the Absolute Value Inequality for x	\|2x-3\|<=5	$\| 2 x - 3 \| \leq 5$
187276	Find the Roots (Zeros)	(x-10)^2-1=0	${(x - 10)}^{2} - 1 = 0$
187277	Solve for x	x/2-7/6<4/3	$\frac{x}{2} - \frac{7}{6} < \frac{4}{3}$
187278	Graph	y=x^2+2,x>=1; -x+2,x<1	$y = {\begin{cases} x^{2} + 2, x \geq 1 \\ - x + 2, x < 1 \end{cases}$
187279	Evaluate	f(x-1)	$f (x - 1)$
187280	Solve for x	csc(x)+1=0	$\csc (x) + 1 = 0$
187281	Write in Standard Form	2x-9=y+3	$2 x - 9 = y + 3$
187282	Simplify	(1/3+1/(3x))/(1/x+1/3)	$\frac{\frac{1}{3} + \frac{1}{3 x}}{\frac{1}{x} + \frac{1}{3}}$
187283	Solve Using the Quadratic Formula	4(x+2)*2=36	$4 (x + 2) \cdot 2 = 36$
187284	Solve for h	6h-6+2h<2(4h-3)	$6 h - 6 + 2 h < 2 (4 h - 3)$
187285	Solve the System of Inequalities	5<x-1 or x-1>9	$5 < x - 1$ or $x - 1 > 9$
187286	Find the Exact Value	sin(pi/12)cos((7pi)/12)+cos(pi/12)sin((7pi)/12)	$\sin (\frac{π}{12}) \cos (\frac{7 π}{12}) + \cos (\frac{π}{12}) \sin (\frac{7 π}{12})$
187287	Solve for θ	csc(theta)+2=0	$\csc (θ) + 2 = 0$
187288	Graph	y=-x+5 y=2x-7	$y = - x + 5$ $y = 2 x - 7$
187289	Evaluate	pisin(pi)	$π \sin (π)$
187290	Graph	f(x)=x^2(1-x)^3	$f (x) = x^{2} {(1 - x)}^{3}$
187291	Convert to Interval Notation	5\|x\|+6>=1	$5 \| x \| + 6 \geq 1$
187292	Evaluate	2(8-4)^2-10÷2	$2 {(8 - 4)}^{2} - 10 \div 2$
187293	Divide	2/(3-i)	$\frac{2}{3 - i}$
187294	Solve for B	A=2BC+2BD	$A = 2 B C + 2 B D$
187295	Simplify	(2x^-5)/(3y^0)	$\frac{2 x^{- 5}}{3 y^{0}}$
187296	Find the Exact Value	(2pi)/8	$\frac{2 π}{8}$
187297	Simplify	4x*3x^2	$4 x \cdot 3 x^{2}$
187298	Solve the Inequality for x	(x+3)(x+1)^2>=0	$(x + 3) {(x + 1)}^{2} \geq 0$
187299	Evaluate	cube root of (2^15)/(3^2)	$\sqrt[3]{\frac{2^{15}}{3^{2}}}$
187300	Write in Standard Form	y=x^2-4	$y = x^{2} - 4$