Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16301	Solve for w	-30w+49.5=-33.5w-48+13.5	$- 30 w + 49.5 = - 33.5 w - 48 + 13.5$
16302	Simplify	fourth root of 256x^4* cube root of 27x	$\sqrt[4]{256 x^{4}} \cdot \sqrt[3]{27 x}$
16303	Simplify	((2x^3y^2)/(x^2))^2	${(\frac{2 x^{3} y^{2}}{x^{2}})}^{2}$
16304	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5+2x^2-3x^4-2x-x^3	$f (x) = 5 + 2 x^{2} - 3 x^{4} - 2 x - x^{3}$
16305	Find the Roots (Zeros)	x(x+3)(x-2)	$x (x + 3) (x - 2)$
16306	Simplify the Radical Expression	cube root of a^2b^3	$\sqrt[3]{a^{2} b^{3}}$
16307	Solve for x	cube root of 7x = cube root of 15x-40	$\sqrt[3]{7 x} = \sqrt[3]{15 x - 40}$
16308	Solve for x	x+3+x-8+x=55	$x + 3 + x - 8 + x = 55$
16309	Find the Percentage Rate of Change	f(t)=1500(1.074)^t	$f (t) = 1500 {(1.074)}^{t}$
16310	Find the Antiderivative	5-3(1+x^2)^-1	$5 - 3 {(1 + x^{2})}^{- 1}$
16311	Multiply	(x^2-1)3x-(x^2-2)2x	$(x^{2} - 1) \cdot 3 x - (x^{2} - 2) \cdot 2 x$
16312	Evaluate	square root of 39y^9	$\sqrt{39 y^{9}}$
16313	Find the Skew	2 , 6 , 7 , 8 , 18	$2$ , $6$ , $7$ , $8$ , $18$
16314	Graph	Find x	Find $x$
16315	Simplify the Radical Expression	2 square root of 8b^3*9 square root of 18b	$2 \sqrt{8 b^{3}} \cdot 9 \sqrt{18 b}$
16316	Evaluate Using the Given Value	4.39x-x^2 if x=3.39	$4.39 x - x^{2}$ if $x = 3.39$
16317	Solve Over the Interval	9cos(x)^2+6cos(x)-8=0 , 0<=x<=2pi	$9 \cos^{2} (x) + 6 \cos (x) - 8 = 0$ , $0 \leq x \leq 2 π$
16318	Solve for x	-4/7(x-1/4)=3/7	$- \frac{4}{7} (x - \frac{1}{4}) = \frac{3}{7}$
16319	Simplify	(5x^2-10xy+5y^2)/(x^2-y^2)	$\frac{5 x^{2} - 10 x y + 5 y^{2}}{x^{2} - y^{2}}$
16320	Find the Derivative - d/dx	x/2+2/x	$\frac{x}{2} + \frac{2}{x}$
16321	Simplify	5^(2- log base 5 of 5)	$5^{2 - \log_{5} (5)}$
16322	Simplify	(2/9v)-(-1/3v+5/9)	$(\frac{2}{9} v) - (- \frac{1}{3} v + \frac{5}{9})$
16323	Simplify the Radical Expression	(3 cube root of 12)÷2 cube root of 3	$3 \sqrt[3]{12} \div 2 \sqrt[3]{3}$
16324	Solve for n	3n(n+2)=0	$3 n (n + 2) = 0$
16325	Solve for x	x/2-(7x)/9=1/6	$\frac{x}{2} - \frac{7 x}{9} = \frac{1}{6}$
16326	Simplify	7x^2-y+4(x^3+9y)	$7 x^{2} - y + 4 (x^{3} + 9 y)$
16327	Simplify	2/3m^-1n^5	$\frac{2}{3} m^{- 1} n^{5}$
16328	Solve the System of Equations	x-y-z=4 2x+y+3z=9 -3x-2y+4z=-23	$x - y - z = 4$ $2 x + y + 3 z = 9$ $- 3 x - 2 y + 4 z = - 23$
16329	Divide	(4y^2-4y+1)/(2y-1)	$\frac{4 y^{2} - 4 y + 1}{2 y - 1}$
16330	Solve the Inequality for z	-6z>=36	$- 6 z \geq 36$
16331	Find the x and y Intercepts	P(x)=3x	$P (x) = 3 x$
16332	Simplify	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
16333	Simplify	(8r)/(r^2-1)-(7r+1)/(r^2-2r+1)	$\frac{8 r}{r^{2} - 1} - \frac{7 r + 1}{r^{2} - 2 r + 1}$
16334	Find the Difference Quotient	-x^3	$- x^{3}$
16335	Simplify	((x^-5y^3)^-2)/((2x^-2y^2)^-3)	$\frac{{(x^{- 5} y^{3})}^{- 2}}{{(2 x^{- 2} y^{2})}^{- 3}}$
16336	Simplify	(3^(-6/5)*3^(9/5))^(-3/2)	${(3^{- \frac{6}{5}} \cdot 3^{\frac{9}{5}})}^{- \frac{3}{2}}$
16337	Find the Asymptotes	(x^2)/9-((y-1)^2)/5=1	$\frac{x^{2}}{9} - \frac{{(y - 1)}^{2}}{5} = 1$
16338	Solve for x	(2x-7)(x^2-4x+4)>0	$(2 x - 7) (x^{2} - 4 x + 4) > 0$
16339	Evaluate	fourth root of 256(5x-2)^12	$\sqrt[4]{256 {(5 x - 2)}^{12}}$
16340	Graph	{(x,y)\|x>=1}	${(x, y) \| x \geq 1}$
16341	Solve for x	(2/3)^(x-2)=8/27	${(\frac{2}{3})}^{x - 2} = \frac{8}{27}$
16342	Simplify the Radical Expression	fourth root of 16x^3	$\sqrt[4]{16 x^{3}}$
16343	Write in Slope-Intercept Form	y+3=x	$y + 3 = x$
16344	Factor	x^2-y^2+2yz-z^2	$x^{2} - y^{2} + 2 y z - z^{2}$
16345	Evaluate the Limit	limit as z approaches 2 of ((2z+z^2)/(z^2+4))^3	$lim_{z \to 2} {(\frac{2 z + z^{2}}{z^{2} + 4})}^{3}$
16346	Find the Derivative - d/dx	x^2y+xy^2=3x	$x^{2} y + x y^{2} = 3 x$
16347	Find the Product	square root of b* square root of b	$\sqrt{b} \cdot \sqrt{b}$
16348	Find the Antiderivative	f(x)=4/(5x-2)+7	$f (x) = \frac{4}{5 x - 2} + 7$
16349	Find All Complex Solutions	5(x-3)-3x=8x-15-6x	$5 (x - 3) - 3 x = 8 x - 15 - 6 x$
16350	Solve for x	5/(x+9)+(x+7)/(x-9)=(2x)/(x-9)	$\frac{5}{x + 9} + \frac{x + 7}{x - 9} = \frac{2 x}{x - 9}$
16351	Solve for x	arccot( square root of x)+arctan(x)=pi/2	$arccot (\sqrt{x}) + \arctan (x) = \frac{π}{2}$
16352	Simplify	(1-6x)(x^2-4)	$(1 - 6 x) (x^{2} - 4)$
16353	Evaluate	2*1+3^2-6÷2	$2 \times 1 + 3^{2} - 6 \div 2$
16354	Simplify	cube root of 32p^10-9p^2 cube root of 4p^4	$\sqrt[3]{32 p^{10}} - 9 p^{2} \sqrt[3]{4 p^{4}}$
16355	Simplify the Radical Expression	square root of -3* square root of -12	$\sqrt{- 3} \cdot \sqrt{- 12}$
16356	Find the GCF	30ab^6 , 45a^2b	$30 a b^{6}$ , $45 a^{2} b$
16357	Solve for d	3=54d^(3/2)	$3 = 54 d^{\frac{3}{2}}$
16358	Simplify	(8+5i)(3+2i)-(4+i)(4-i)	$(8 + 5 i) (3 + 2 i) - (4 + i) (4 - i)$
16359	Solve the Inequality for x	x^2-1>7x+7	$x^{2} - 1 > 7 x + 7$
16360	Divide	((x-4)/(x+3))÷((x^2-16)/(x^2+6x+9))	$\frac{x - 4}{x + 3} \div \frac{x^{2} - 16}{x^{2} + 6 x + 9}$
16361	Find the Concavity	f(x)=3/20x^5-7x^3	$f (x) = \frac{3}{20} x^{5} - 7 x^{3}$
16362	Graph	Graph -7x+5y=35	Graph $- 7 x + 5 y = 35$
16363	Find Trig Functions Using Identities	tan(theta)=5/12 , cos(theta)<0	$\tan (θ) = \frac{5}{12}$ , $\cos (θ) < 0$
16364	Solve the Function Operation	f(x)=5(x+10) ; find f^-1(x)	$f (x) = 5 (x + 10)$ ; find $f^{- 1} (x)$
16365	Find the Secant Given the Point	(-3, square root of 3)	$(- 3, \sqrt{3})$
16366	Multiply	(5x+2y)(x^2-3xy+6)	$(5 x + 2 y) (x^{2} - 3 x y + 6)$
16367	Solve for d	17+d+19=6(-2d-20)	$17 + d + 19 = 6 (- 2 d - 20)$
16368	Convert to a Simplified Fraction	(4^11)/(4^-8)	$\frac{4^{11}}{4^{- 8}}$
16369	Find the Exact Value	csc(660 degrees )	$\csc (660 °)$
16370	Find the Degree, Leading Term, and Leading Coefficient	f(x)=1+2x^2	$f (x) = 1 + 2 x^{2}$
16371	Solve the Inequality for x	-4x^2+7>=5x+1	$- 4 x^{2} + 7 \geq 5 x + 1$
16372	Solve for x	x+x-(-3)=12	$x + x - (- 3) = 12$
16373	Solve the System of Equations	2x-3y+10z=-83 12y+5z=-23 -3y+2z=-17	$2 x - 3 y + 10 z = - 83$ $12 y + 5 z = - 23$ $- 3 y + 2 z = - 17$
16374	Solve for k	740/7608.9=18.1/k0.0821*295	$\frac{740}{760} \times 8.9 = \frac{18.1}{k} \times 0.0821 \times 295$
16375	Solve the System of Inequalities	y<3x+12 y>=5x+7	$y < 3 x + 12$ $y \geq 5 x + 7$
16376	Find the Domain	(2x-3)/(x(x+1))	$\frac{2 x - 3}{x (x + 1)}$
16377	Simplify the Radical Expression	cube root of 27x	$\sqrt[3]{27 x}$
16378	Simplify	(3x-5)/(4x+3)+(-2x+1)/(7x-2)	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2}$
16379	Evaluate the Limit	limit as x approaches 3 of 6/(x^2-9)-1/(x-3)	$lim_{x \to 3} \frac{6}{x^{2} - 9} - \frac{1}{x - 3}$
16380	Verify the Identity	1/(tan(x)^2+1)=cos(x)^2	$\frac{1}{\tan^{2} (x) + 1} = \cos^{2} (x)$
16381	Simplify	-8mn+9mn	$- 8 m n + 9 m n$
16382	Simplify	5/(2x+1)+8/(4x+2)	$\frac{5}{2 x + 1} + \frac{8}{4 x + 2}$
16383	Simplify	(3/4x^2+2/3x+4)+(1/4x^2-5/3x-13)	$(\frac{3}{4} x^{2} + \frac{2}{3} x + 4) + (\frac{1}{4} x^{2} - \frac{5}{3} x - 13)$
16384	Simplify	4 1/4+2 1/4+6 1/3	$4 \frac{1}{4} + 2 \frac{1}{4} + 6 \frac{1}{3}$
16385	Simplify	2/x-4/(3x-1)	$\frac{2}{x} - \frac{4}{3 x - 1}$
16386	Evaluate the Integral	integral of (t^2-cos(t)) with respect to t	$\int (t^{2} - \cos (t)) d t$
16387	Find the Antiderivative	f(x)=x^2+2x-1	$f (x) = x^{2} + 2 x - 1$
16388	Evaluate	log base 3 of x* log base 2 of 3=5	$\log_{3} (x) \cdot \log_{2} (3) = 5$
16389	Find the Perpendicular Line	What is the equation of the line that is perpendicular to the line defined by the equation 2x=4y-8 and goes through the point (1,2) ?	What is the equation of the line that is perpendicular to the line defined by the equation $2 x = 4 y - 8$ and goes through the point $(1, 2)$ ?
16390	Find dy/dx	-2y^2+2x^2=-3x^3+y	$- 2 y^{2} + 2 x^{2} = - 3 x^{3} + y$
16391	Write in y=mx+b Form	y=4x	$y = 4 x$
16392	Evaluate	(94-93)/(2.68/( square root of 10))	$\frac{94 - 93}{\frac{2.68}{\sqrt{10}}}$
16393	Simplify	(7c^6d^2*-6c^2d)/(-3c^7d^2)	$\frac{7 c^{6} d^{2} \cdot - 6 c^{2} d}{- 3 c^{7} d^{2}}$
16394	Find the Slope	(-4,13) and (6,-2)	$(- 4, 13)$ and $(6, - 2)$
16395	Simplify	( square root of 18* square root of 8)/2	$\frac{\sqrt{18} \cdot \sqrt{8}}{2}$
16396	Evaluate the Limit	limit as x approaches 0 of (3/(x+3)-3/3)/(3x)	$lim_{x \to 0} \frac{\frac{3}{x + 3} - \frac{3}{3}}{3 x}$
16397	Evaluate the Function	(-3,-28) , (0,-4) , (4,168) , (-5,-174)	$(- 3, - 28)$ , $(0, - 4)$ , $(4, 168)$ , $(- 5, - 174)$
16398	Simplify	(m^5)^-3(m^4n^5)^4	${(m^{5})}^{- 3} {(m^{4} n^{5})}^{4}$
16399	Simplify	1/(n+5)*(n^2+2n-15)/(n-8)	$\frac{1}{n + 5} \cdot \frac{n^{2} + 2 n - 15}{n - 8}$
16400	Solve for x	9x-71>3(3x-7u)	$9 x - 71 > 3 (3 x - 7 u)$