Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40201	Divide	(9x^3y^6)/(xy^6)	$\frac{9 x^{3} y^{6}}{x y^{6}}$
40202	Evaluate	40% of 65	$40 %$ of $65$
40203	Write Using Positive Exponents	-4a^-2b^-2	$- 4 a^{- 2} b^{- 2}$
40204	Solve for z	2(3z+4)^(1/2)=10	$2 {(3 z + 4)}^{\frac{1}{2}} = 10$
40205	Simplify	((3^2)^3*3^6)/(3^4)	$\frac{{(3^{2})}^{3} \cdot 3^{6}}{3^{4}}$
40206	Solve for m	3m-8qt=14	$3 m - 8 qt = 14$
40207	Evaluate	((1/2)/2)^2	${(\frac{\frac{1}{2}}{2})}^{2}$
40208	Simplify	7/(y+8)+35/(y^2+11y+24)	$\frac{7}{y + 8} + \frac{35}{y^{2} + 11 y + 24}$
40209	Solve the Absolute Value Inequality for x	-2\|x\|=14	$- 2 \| x \| = 14$
40210	Solve the Function Operation	f(x)=8(x+9)^(1/7) ; find f^-1(x)	$f (x) = 8 {(x + 9)}^{\frac{1}{7}}$ ; find $f^{- 1} (x)$
40211	Find the Domain	f(x) = square root of 3-e^(2x)	$f (x) = \sqrt{3 - e^{2 x}}$
40212	Find the x and y Intercepts	y=1/2	$y = \frac{1}{2}$
40213	Simplify	(5 square root of 7)-(11 square root of 7)	$(5 \sqrt{7}) - (11 \sqrt{7})$
40214	Solve in Terms of the Arbitrary Variable x	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
40215	Solve by Factoring	4x^3-7x^2=3x^2	$4 x^{3} - 7 x^{2} = 3 x^{2}$
40216	Simplify	1/(5x)+x/15	$\frac{1}{5 x} + \frac{x}{15}$
40217	Simplify the Radical Expression	(10 square root of 18)÷2 square root of 9	$10 \sqrt{18} \div 2 \sqrt{9}$
40218	Find the Derivative - d/dx	cube root of x^2(2x-x^2)	$\sqrt[3]{x^{2}} (2 x - x^{2})$
40219	Simplify	-1^-2	$- 1^{- 2}$
40220	Simplify	7(1/9a+2)	$7 (\frac{1}{9} a + 2)$
40221	Simplify the Radical Expression	( cube root of 4^5)( cube root of 5^5)	$(\sqrt[3]{4^{5}}) (\sqrt[3]{5^{5}})$
40222	Solve for x	-5(x+3/5)=-4	$- 5 (x + \frac{3}{5}) = - 4$
40223	Solve for x	-4-4(-x-1)=4(x-1)	$- 4 - 4 (- x - 1) = 4 (x - 1)$
40224	Simplify	((-7nm^2)^-3)^0	${({(- 7 n m^{2})}^{- 3})}^{0}$
40225	Solve the Inequality for r	-13<=-5r+2	$- 13 \leq - 5 r + 2$
40226	Simplify	square root of 15b^3* square root of 20b^3	$\sqrt{15 b^{3}} \cdot \sqrt{20 b^{3}}$
40227	Solve for x	3/4x-(x-14)/6=7/4x	$\frac{3}{4} x - \frac{x - 14}{6} = \frac{7}{4} x$
40228	Add	(3-91i)+(67)	$(3 - 91 i) + (67)$
40229	Find the Roots (Zeros)	6x=9+x^2	$6 x = 9 + x^{2}$
40230	Find the End Behavior	-2r^5+4r^3+9r-7	$- 2 r^{5} + 4 r^{3} + 9 r - 7$
40231	Simplify	square root of (25m^2)/(p^8q^1*0)	$\sqrt{\frac{25 m^{2}}{p^{8} q^{1} \cdot 0}}$
40232	Multiply	x^3x^3x^3	$x^{3} \cdot x^{3} \cdot x^{3}$
40233	Evaluate	( square root of 5+2)(4- square root of 5)	$(\sqrt{5} + 2) (4 - \sqrt{5})$
40234	Determine if Dependent, Independent, or Inconsistent	x-y=-4 y=x+4	$x - y = - 4$ $y = x + 4$
40235	Solve for x	log base 3 of 27+ log base 3 of 1/3 = log base 3 of x	$\log_{3} (27) + \log_{3} (\frac{1}{3}) = \log_{3} (x)$
40236	Simplify	i^2i^3i^4	$i^{2} \cdot i^{3} \cdot i^{4}$
40237	Simplify	i square root of -16	$i \sqrt{- 16}$
40238	Find the Domain	f(x)=(-x^2+x+2)/(x^2-2x-3)	$f (x) = \frac{- x^{2} + x + 2}{x^{2} - 2 x - 3}$
40239	Solve for θ	csc(theta)^2-2=0	$\csc^{2} (θ) - 2 = 0$
40240	Simplify	1/(2x^3)+3/(4x^2)	$\frac{1}{2 x^{3}} + \frac{3}{4 x^{2}}$
40241	Solve for x	3-(7+2x)>-8	$3 - (7 + 2 x) > - 8$
40242	Graph	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
40243	Find the Roots (Zeros)	f(x)=(x+2)(x-1)(x-(4+3i))(x-(4-3i))	$f (x) = (x + 2) (x - 1) (x - (4 + 3 i)) (x - (4 - 3 i))$
40244	Solve for x	x/(x^2-2)=-1/x	$\frac{x}{x^{2} - 2} = - \frac{1}{x}$
40245	Evaluate	fifth root of x+5=7	$\sqrt[5]{x} + 5 = 7$
40246	Simplify	square root of -3 square root of -5	$\sqrt{- 3} \sqrt{- 5}$
40247	Evaluate Using the Given Value	8-4xy^2 for x=3 and y=-2	$8 - 4 x y^{2}$ for $x = 3$ and $y = - 2$
40248	Find the Derivative - d/dx	(x-1)^2(x-2)(x-4)	${(x - 1)}^{2} (x - 2) (x - 4)$
40249	Evaluate	(csc(theta))/(sin(theta))	$\frac{\csc (θ)}{\sin (θ)}$
40250	Find the Center and Radius	-x^2-12x+3y^2-24y=0	$- x^{2} - 12 x + 3 y^{2} - 24 y = 0$
40251	Evaluate	(b^(9/4))/(b^2)	$\frac{b^{\frac{9}{4}}}{b^{2}}$
40252	Find the Domain	((3ab)/(4xy))÷(-(21a^2b)/(10x^2y))	$\frac{3 a b}{4 x y} \div (- \frac{21 a^{2} b}{10 x^{2} y})$
40253	Solve for y	y^4=2-y^2	$y^{4} = 2 - y^{2}$
40254	Solve the System of Inequalities	y<=-x+3 y<=2x-3	$y \leq - x + 3$ $y \leq 2 x - 3$
40255	Solve for x	(4)^2=2^((1/2)x)	${(4)}^{2} = 2^{(\frac{1}{2}) x}$
40256	Convert to Interval Notation	x<5 and x>-3	$x < 5$ and $x > - 3$
40257	Solve for x	90+x+x=180	$90 + x + x = 180$
40258	Solve for y	xy^2-x+3y^2+1=0	$x y^{2} - x + 3 y^{2} + 1 = 0$
40259	Find Where Increasing/Decreasing	f(x)=6x^5-15x^4+10x^3	$f (x) = 6 x^{5} - 15 x^{4} + 10 x^{3}$
40260	Simplify	5x(-4x+3x^2-2)+8(15+9x+4x^2)	$5 x (- 4 x + 3 x^{2} - 2) + 8 (15 + 9 x + 4 x^{2})$
40261	Solve the System of Inequalities	-5m<20 and 6m>-18	$- 5 m < 20$ and $6 m > - 18$
40262	Solve for x	3/4(x-13)=-2(9+x)	$\frac{3}{4} (x - 13) = - 2 (9 + x)$
40263	Find the Derivative - d/dx	(-x)/(x^2+4)	$\frac{- x}{x^{2} + 4}$
40264	Evaluate	square root of 16x^2*x^(2/3)+ cube root of 8x^5	$\sqrt{16 x^{2}} \cdot x^{\frac{2}{3}} + \sqrt[3]{8 x^{5}}$
40265	Graph	y>=4 2x-y<3	$y \geq 4$ $2 x - y < 3$
40266	Solve for x in Radians	csc(x)=- square root of 2	$\csc (x) = - \sqrt{2}$
40267	Solve for x	1/2 square root of x-5=2	$\frac{1}{2} \sqrt{x} - 5 = 2$
40268	Multiply	4/5*(-2/9)	$\frac{4}{5} \cdot (- \frac{2}{9})$
40269	Solve for x	(3x+4)^2-36=15x+20	${(3 x + 4)}^{2} - 36 = 15 x + 20$
40270	Simplify	(2-1/2x)^2	${(2 - \frac{1}{2} x)}^{2}$
40271	Graph	f(x)=-x^5+3/4x^2+x	$f (x) = - x^{5} + \frac{3}{4} x^{2} + x$
40272	Solve the System of Equations	-6x-2y=-12 and -3x-6y=9	$- 6 x - 2 y = - 12$ and $- 3 x - 6 y = 9$
40273	Solve for x	2(x/3+4)=12	$2 (\frac{x}{3} + 4) = 12$
40274	Solve for j	5j+2/3=-1/6	$5 j + \frac{2}{3} = - \frac{1}{6}$
40275	Simplify	1/2e^-2(2e^4)^3	$\frac{1}{2} e^{- 2} {(2 e^{4})}^{3}$
40276	Solve for x	(5b)/(8a^3)=x/(24a^3b^2)	$\frac{5 b}{8 a^{3}} = \frac{x}{24 a^{3} b^{2}}$
40277	Simplify	Simplify (x^5)/(x^4)*x	Simplify $\frac{x^{5}}{x^{4}} \cdot x$
40278	Verify the Identity	12 root of 16 = cube root of fourth root of 16	$\sqrt[12]{16} = \sqrt[3]{\sqrt[4]{16}}$
40279	Simplify	(3x^2+2y-3)+(2x^2-x+3y)	$(3 x^{2} + 2 y - 3) + (2 x^{2} - x + 3 y)$
40280	Evaluate	23y+50+27y=50y+50	$23 y + 50 + 27 y = 50 y + 50$
40281	Find the Antiderivative	f(x)=cos(x)-1	$f (x) = \cos (x) - 1$
40282	Find the Slope	What is the slope of the line through (6,9) and (7,1) ?	What is the slope of the line through $(6, 9)$ and $(7, 1)$ ?
40283	Simplify	(48x^5)/(49y^4)*(7y^2)/(16x^3)	$\frac{48 x^{5}}{49 y^{4}} \cdot \frac{7 y^{2}}{16 x^{3}}$
40284	Solve for x	(3x-4)/2=3/(2x-1)	$\frac{3 x - 4}{2} = \frac{3}{2 x - 1}$
40285	Factor by Grouping	x^3+x^2-2x	$x^{3} + x^{2} - 2 x$
40286	Simplify	-6x+8/6-3/2x-1/2+5/2x	$- 6 x + \frac{8}{6} - \frac{3}{2} x - \frac{1}{2} + \frac{5}{2} x$
40287	Write in Slope-Intercept Form	(3,5) and (0,4)	$(3, 5)$ and $(0, 4)$
40288	Simplify	(x+1)/(x^2+x)	$\frac{x + 1}{x^{2} + x}$
40289	Find the Center and Radius	(x-5)2+(y-6)2=81	$(x - 5) \cdot 2 + (y - 6) \cdot 2 = 81$
40290	Graph	\|x+y\|>=x-y	$\| x + y \| \geq x - y$
40291	Solve for v	r = square root of v/(pih)	$r = \sqrt{\frac{v}{π h}}$
40292	Solve for x	square root of x+2 = square root of x	$\sqrt{x + 2} = \sqrt{x}$
40293	Simplify	(-8r^-5)/(s^-2)	$\frac{- 8 r^{- 5}}{s^{- 2}}$
40294	Write in Exponential Form	fourth root of ( square root of m cube root of n^2)/( square root of p^5)	$\sqrt[4]{\frac{\sqrt{m} \sqrt[3]{n^{2}}}{\sqrt{p^{5}}}}$
40295	Simplify	(ax-ay)/(5x^2y^2)*(-(5xy)/(by-bx))	$\frac{a x - a y}{5 x^{2} y^{2}} \times (- \frac{5 x y}{b y - b x})$
40296	Solve for x	log base 5 of 4x-7 = log base 5 of x+5	$\log_{5} (4 x) - 7 = \log_{5} (x) + 5$
40297	Solve the Function Operation	Given that f(x)=x^2+2x-8 and g(x)=x+4 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 2 x - 8$ and $g (x) = x + 4$ ; find $(f - g) (x)$ and express the result in standard form.
40298	Find the Derivative - d/dx	(x^3)/3+e^x	$\frac{x^{3}}{3} + e^{x}$
40299	Simplify	6/(n+1)-(6n)/(n+4)	$\frac{6}{n + 1} - \frac{6 n}{n + 4}$
40300	Identify the Conic	(y+3)^2=1/8(x-5)	${(y + 3)}^{2} = \frac{1}{8} (x - 5)$