Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37401	Simplify	fifth root of 72i^4b^3 fifth root of 216i^8b^11	$\sqrt[5]{72 i^{4} b^{3}} \sqrt[5]{216 i^{8} b^{11}}$
37402	Determine if Continuous	f(x)=x+1/x	$f (x) = x + \frac{1}{x}$
37403	Evaluate the Integral	integral from 0 to pi of (2+cos(x)) with respect to x	$\int_{0}^{π} (2 + \cos (x)) d x$
37404	Solve for n	log base 4 of n=1/4 log base 4 of 81+1/2 log base 4 of 25	$\log_{4} (n) = \frac{1}{4} \log_{4} (81) + \frac{1}{2} \log_{4} (25)$
37405	Solve for m	-1+m^2=3	$- 1 + m^{2} = 3$
37406	Evaluate	254+(5^28)-1	$25 \cdot 4 + (5^{2} \cdot 8) - 1$
37407	Convert to Radical Form	(7xy)2/3	$(7 x y) \frac{2}{3}$
37408	Simplify	(4^0)(5^-5)(100)^0(1/(2^-1))	$(4^{0}) (5^{- 5}) {(100)}^{0} (\frac{1}{2^{- 1}})$
37409	Find the LCM	x^2-9 and x^2-5x+6	$x^{2} - 9$ and $x^{2} - 5 x + 6$
37410	Graph	g<-3 or g>=4	$g < - 3$ or $g \geq 4$
37411	Multiply	4a(8a-8b)	$4 a (8 a - 8 b)$
37412	Simplify	square root of xy^5z^20	$\sqrt{x y^{5}} z^{20}$
37413	Evaluate	x^2*x^(1/2)	$x^{2} \cdot x^{\frac{1}{2}}$
37414	Find dy/dx	4+xy-4x=5y	$4 + x y - 4 x = 5 y$
37415	Find the Domain and Range	y=1/3cos(3x)	$y = \frac{1}{3} \cos (3 x)$
37416	Simplify	((x+2)/(x^2-6x-16))÷(1/(9x))	$\frac{x + 2}{x^{2} - 6 x - 16} \div \frac{1}{9 x}$
37417	Simplify	x^a(1+x^b)	$x^{a} (1 + x^{b})$
37418	Find the Slope	2(x-3)=y+3	$2 (x - 3) = y + 3$
37419	Simplify	(8x+y)(x-8y)-(x+8y)(8x-y)	$(8 x + y) (x - 8 y) - (x + 8 y) (8 x - y)$
37420	Evaluate	10-8÷2-2^2	$10 - 8 \div 2 - 2^{2}$
37421	Solve for y	y=1/4(-2)^2	$y = \frac{1}{4} {(- 2)}^{2}$
37422	Solve for x in Radians	( square root of 2)/2csc(x)-1=0	$\frac{\sqrt{2}}{2} \csc (x) - 1 = 0$
37423	Solve for x	(x^2+4)=0	$(x^{2} + 4) = 0$
37424	Add	(1/4x-3)+(3/16x+5)	$(\frac{1}{4} x - 3) + (\frac{3}{16} x + 5)$
37425	Determine if Continuous	f(x)=(x^2-1)/(x+1) if x!=-1; 1 if x=-1	$f (x) = {\begin{cases} \frac{x^{2} - 1}{x + 1} & x \neq - 1 \\ 1 & x = - 1 \end{cases}$
37426	Simplify	x square root of 3(x square root of 6-2x+ square root of 3)	$x \sqrt{3} (x \sqrt{6} - 2 x + \sqrt{3})$
37427	Simplify	36÷2-(81÷(3^2))	$36 \div 2 - (81 \div 3^{2})$
37428	Write in Standard Form	-6x+x^2=97+10y-y^2	$- 6 x + x^{2} = 97 + 10 y - y^{2}$
37429	Find the Domain and Range	(x)=\|x\|	$(x) = \| x \|$
37430	Find the LCD	9/(x+8) and 7/(x-8)	$\frac{9}{x + 8}$ and $\frac{7}{x - 8}$
37431	Find the Derivative - d/dx	(2x(x^2-3))/((x^2+1)^3)	$\frac{2 x (x^{2} - 3)}{{(x^{2} + 1)}^{3}}$
37432	Simplify	(3x^2y^2)^(1/2)	${(3 x^{2} y^{2})}^{\frac{1}{2}}$
37433	Graph	y>=-2x+1/2	$y \geq - 2 x + \frac{1}{2}$
37434	Graph	y>=1/3x+2 and y<=2x+3	$y \geq \frac{1}{3} x + 2$ and $y \leq 2 x + 3$
37435	Simplify	(2 square root of 3+ square root of 2)÷( square root of 6)	$(2 \sqrt{3} + \sqrt{2}) \div \sqrt{6}$
37436	Evaluate Using Summation Formulas	sum from i=1 to 14 of 5i^2+13	$\sum_{i = 1}^{14} 5 i^{2} + 13$
37437	Solve for w	0=w-13	$0 = w - 13$
37438	Simplify	Simplify square root of 2/(7b)	Simplify $\sqrt{\frac{2}{7 b}}$
37439	Solve the Inequality for k	14-4k<38	$14 - 4 k < 38$
37440	Simplify	2-x+1/x	$2 - x + \frac{1}{x}$
37441	Solve for y	x-3(y+2)=6	$x - 3 (y + 2) = 6$
37442	Evaluate the Limit	limit as x approaches negative infinity of ( square root of x^2+3)/(2x-8)	$lim_{x \to - \infty} \frac{\sqrt{x^{2} + 3}}{2 x - 8}$
37443	Simplify the Radical Expression	square root of 100- square root of -49- square root of 81+ square root of -36	$\sqrt{100} - \sqrt{- 49} - \sqrt{81} + \sqrt{- 36}$
37444	Solve the Inequality for y	4^y<5^(2y+1)	$4^{y} < 5^{2 y + 1}$
37445	Add	(4x^2-2x+8)+(2x^2+2x-5)	$(4 x^{2} - 2 x + 8) + (2 x^{2} + 2 x - 5)$
37446	Evaluate	pi*2pi	$π \cdot 2 π$
37447	Solve the System of Equations	1/6x-1/3y=-2 1/2x+3/5y=2	$\frac{1}{6} x - \frac{1}{3} y = - 2$ $\frac{1}{2} x + \frac{3}{5} y = 2$
37448	Solve the Inequality for x	-x^2(3-x)^3(x+2)>0	$- x^{2} {(3 - x)}^{3} (x + 2) > 0$
37449	Simplify	11x+2x^2-(-7x-3x^2+4)	$11 x + 2 x^{2} - (- 7 x - 3 x^{2} + 4)$
37450	Find the Domain and Range	f(theta)=-5cot(2pitheta+pi)	$f (θ) = - 5 \cot (2 π θ + π)$
37451	Graph	\|y\|	$\| y \|$
37452	Solve for x	-3/4(16x+8)=19-(10x-3)	$- \frac{3}{4} (16 x + 8) = 19 - (10 x - 3)$
37453	Simplify	3x(2x^2-4x+2)-(5x^2-7x-8)	$3 x (2 x^{2} - 4 x + 2) - (5 x^{2} - 7 x - 8)$
37454	Find the Derivative - d/dy	1/(2y^2)+(y^4)/16	$\frac{1}{2 y^{2}} + \frac{y^{4}}{16}$
37455	Find the Domain and Range	x=1/x	$x = \frac{1}{x}$
37456	Evaluate	log base b of ( square root of x)/( cube root of z)	$\log_{b} (\frac{\sqrt{x}}{\sqrt[3]{z}})$
37457	Evaluate	(2^-7*2^6)/(2^0)	$\frac{2^{- 7} \cdot 2^{6}}{2^{0}}$
37458	Simplify	( fourth root of 3)÷( cube root of 3)	$\sqrt[4]{3} \div \sqrt[3]{3}$
37459	Solve for c	c=( cube root of 107.7)^3	$c = {(\sqrt[3]{107.7})}^{3}$
37460	Solve for x	-12=11x^2+28x	$- 12 = 11 x^{2} + 28 x$
37461	Solve the Inequality for x	5\|x-3\|<35	$5 \| x - 3 \| < 35$
37462	Find the Exact Value	sec(690 degrees )	$\sec (690 °)$
37463	Simplify	(x^5x^(4/5))/(x^(2/5)x)	$\frac{x^{5} \cdot x^{\frac{4}{5}}}{x^{\frac{2}{5}} \cdot x}$
37464	Solve for x	3x^2-12x+11=x	$3 x^{2} - 12 x + 11 = x$
37465	Simplify the Radical Expression	square root of 400/5	$\sqrt{\frac{400}{5}}$
37466	Find the Lower or First Quartile	1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25	$1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $7$ , $8$ , $9$ , $10$ , $11$ , $12$ , $13$ , $14$ , $15$ , $16$ , $17$ , $18$ , $19$ , $20$ , $21$ , $22$ , $23$ , $24$ , $25$
37467	Find the Product	x(x+1)	$x (x + 1)$
37468	Simplify the Radical Expression	( square root of 8)/(2 square root of 14)	$\frac{\sqrt{8}}{2 \sqrt{14}}$
37469	Find the Maximum/Minimum Value	y=x^3-2x+4	$y = x^{3} - 2 x + 4$
37470	Evaluate	(1/6(2)^6+1/3(2)^3-(1/6(0)^6+1/3(0)^3))	$(\frac{1}{6} {(2)}^{6} + \frac{1}{3} {(2)}^{3} - (\frac{1}{6} {(0)}^{6} + \frac{1}{3} {(0)}^{3}))$
37471	Graph	f(x)=(3x^2-6x-24)/(2x^2-8)	$f (x) = \frac{3 x^{2} - 6 x - 24}{2 x^{2} - 8}$
37472	Graph	y<1/2x+4 x-2y>=6	$y < \frac{1}{2} x + 4$ $x - 2 y \geq 6$
37473	Find the Inverse	f(x)=9((x^7)/4)^(1/5)	$f (x) = 9 {(\frac{x^{7}}{4})}^{\frac{1}{5}}$
37474	Solve the Function Operation	f(x)=3x+10 g(x)=x-2 Find f(g(x))	$f (x) = 3 x + 10$ $g (x) = x - 2$ Find $f (g (x))$
37475	Solve for x	1/2-sin(x)=0	$\frac{1}{2} - \sin (x) = 0$
37476	Solve the Rational Equation for x	3^(2x-1)-4*3^x+9=0	$3^{2 x - 1} - 4 \cdot 3^{x} + 9 = 0$
37477	Find the GCF	10x^3y^2-2xy^2+14xy	$10 x^{3} y^{2} - 2 x y^{2} + 14 x y$
37478	Graph	2x-y<3 y>=3/2x+1	$2 x - y < 3$ $y \geq \frac{3}{2} x + 1$
37479	Graph	f(x)=(x+3)(x-5)(x+7)^2(x-2)^2	$f (x) = (x + 3) (x - 5) {(x + 7)}^{2} {(x - 2)}^{2}$
37480	Solve the Inequality for h	-4(h-10)<7h(2+3)	$- 4 (h - 10) < 7 h (2 + 3)$
37481	Multiply	4 1/2312 1/2	$4 \frac{1}{2} \cdot 3 \cdot 12 \frac{1}{2}$
37482	Solve the System of Equations	x-y-2z=-2 2x-y+z=-1 -7x+5y+4z=8	$x - y - 2 z = - 2$ $2 x - y + z = - 1$ $- 7 x + 5 y + 4 z = 8$
37483	Simplify	9- cube root of 4k( cube root of 2k+ cube root of 2k^2)	$9 - \sqrt[3]{4 k} (\sqrt[3]{2 k} + \sqrt[3]{2 k^{2}})$
37484	Find the Inverse	A(b)=12*(b+9)/2	$A (b) = 12 \cdot \frac{b + 9}{2}$
37485	Evaluate the Integral	integral from theta_1 to theta_2 of 1/(theta_2-theta_1)x with respect to x	$\int_{θ_{1}}^{θ_{2}} \frac{1}{θ_{2} - θ_{1}} x d x$
37486	Find the Integral	1+x	$1 + x$
37487	Find the Reference Angle	cot(-pi/3)	$\cot (- \frac{π}{3})$
37488	Solve for a	a^0=1	$a^{0} = 1$
37489	Divide	(a^4-a)/(a+1)	$\frac{a^{4} - a}{a + 1}$
37490	Determine if True	1-cos(theta)^2=sin(theta)^2	$1 - \cos^{2} (θ) = \sin^{2} (θ)$
37491	Factor	4x^2-y^2+6y-9	$4 x^{2} - y^{2} + 6 y - 9$
37492	Find the Domain and Range	f(x)=arcsin(sin(x))	$f (x) = \arcsin (\sin (x))$
37493	Graph	-1<=(v-2)/21	$- 1 \leq \frac{v - 2}{21}$
37494	Solve for X	3 log base 3 of X=- log base 3 of 27	$3 \log_{3} (X) = - \log_{3} (27)$
37495	Find the Equation Using Point-Slope Formula	(8,-8) and (9,8)	$(8, - 8)$ and $(9, 8)$
37496	Solve the System of Equations	3x-y=-4 2y=6x+2	$3 x - y = - 4$ $2 y = 6 x + 2$
37497	Add	4 7/8+5 3/4+4 1/2+4 3/8+5/8	$4 \frac{7}{8} + 5 \frac{3}{4} + 4 \frac{1}{2} + 4 \frac{3}{8} + \frac{5}{8}$
37498	Write as a Single Logarithm	2* log of 6- log of 9	$2 \cdot \log (6) - \log (9)$
37499	Simplify	(a^2-2a-a^(1/2))/(a^(1/2))	$\frac{a^{2} - 2 a - a^{\frac{1}{2}}}{a^{\frac{1}{2}}}$
37500	Simplify	x/4+1/(3x^2)	$\frac{x}{4} + \frac{1}{3 x^{2}}$