Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21401	Solve the Inequality for y	19-6y<=-2y+21	$19 - 6 y \leq - 2 y + 21$
21402	Evaluate the Limit	limit as x approaches -3 of 6/(9-x^2)-1/(x+3)	$lim_{x \to - 3} \frac{6}{9 - x^{2}} - \frac{1}{x + 3}$
21403	Factor	4x^4+24x^(1/3)	$4 x^{4} + 24 x^{\frac{1}{3}}$
21404	Graph	3x-y=-6 y=x+4	$3 x - y = - 6$ $y = x + 4$
21405	Solve for x	5 square root of 1-5x-3=27	$5 \sqrt{1 - 5 x} - 3 = 27$
21406	Evaluate	((32+5)2)*2-4	$((3 \cdot 2 + 5) \cdot 2) \cdot 2 - 4$
21407	Solve the Rational Equation for x	2/(3x)+1/6=4/(3x)	$\frac{2}{3 x} + \frac{1}{6} = \frac{4}{3 x}$
21408	Solve for x	cube root of 5x^2-61-4=0	$\sqrt[3]{5 x^{2} - 61} - 4 = 0$
21409	Evaluate	5*4-(2+8)+6÷2	$5 \cdot 4 - (2 + 8) + 6 \div 2$
21410	Solve the Inequality for x	-4/3x+1/6<7/9	$- \frac{4}{3} x + \frac{1}{6} < \frac{7}{9}$
21411	Simplify	((9x^3)/5)÷((3x^3)/8)	$\frac{9 x^{3}}{5} \div \frac{3 x^{3}}{8}$
21412	Write the Fraction in Simplest Form	(13x^-5y^0)/(5^-3z^-10)	$\frac{13 x^{- 5} y^{0}}{5^{- 3} z^{- 10}}$
21413	Divide	((x-8)/(10x^3+70x^2))÷(1/(x+7))	$\frac{x - 8}{10 x^{3} + 70 x^{2}} \div \frac{1}{x + 7}$
21414	Write in Standard Form	x/3-y/4-1/2=0	$\frac{x}{3} - \frac{y}{4} - \frac{1}{2} = 0$
21415	Solve the Rational Equation for v	1/v+(3v+12)/(v^2-5v)=(7v-56)/(v^2-5v)	$\frac{1}{v} + \frac{3 v + 12}{v^{2} - 5 v} = \frac{7 v - 56}{v^{2} - 5 v}$
21416	Simplify	4 square root of 22 square root of 8 square root of 20	$4 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{20}$
21417	Solve for d	d+2/5=9	$d + \frac{2}{5} = 9$
21418	Simplify	(4 1/2/4 3/4)^4	${(\frac{4 \frac{1}{2}}{4 \frac{3}{4}})}^{4}$
21419	Simplify	12 square root of mn^2+5 square root of n^2+2 square root of m^3n^3	$12 \sqrt{m n^{2}} + 5 \sqrt{n^{2}} + 2 \sqrt{m^{3} n^{3}}$
21420	Solve for s	q-r+s=P	$q - r + s = P$
21421	Solve for x	5*17^(1-3x)=20	$5 \cdot 17^{1 - 3 x} = 20$
21422	Simplify	fifth root of k^4 fourth root of k^11	$\sqrt[5]{k^{4}} \sqrt[4]{k^{11}}$
21423	Evaluate	2/3(3)^(3/2)	$\frac{2}{3} {(3)}^{\frac{3}{2}}$
21424	Solve the Function Operation	g(x)=-x-2 ; find g(-3)	$g (x) = - x - 2$ ; find $g (- 3)$
21425	Evaluate	25% of 120	$25 %$ of $120$
21426	Solve the Inequality for x	5x^2-33x-7>=x	$5 x^{2} - 33 x - 7 \geq x$
21427	Evaluate	x^2=1	$x^{2} = 1$
21428	Simplify	sixth root of r^11 fifth root of r^8	$\sqrt[6]{r^{11}} \sqrt[5]{r^{8}}$
21429	Graph	y=2 log base 2 of -x+8-3	$y = 2 \log_{2} (- x + 8) - 3$
21430	Find Where Increasing/Decreasing	f'(x)=x^3-18x^2+81x	$f' (x) = x^{3} - 18 x^{2} + 81 x$
21431	Simplify the Radical Expression	7/(2+ square root of 3)	$\frac{7}{2 + \sqrt{3}}$
21432	Solve by Substitution	2x=12 and x-5y=-29	$2 x = 12$ and $x - 5 y = - 29$
21433	Subtract	x^2-2x-6-6x+5	$x^{2} - 2 x - 6 - 6 x + 5$
21434	Solve for X	6X-9=12	$6 X - 9 = 12$
21435	Evaluate	24/(4^(3/2))	$\frac{24}{4^{\frac{3}{2}}}$
21436	Expand the Logarithmic Expression	log of ( square root of x^2y^3)/z	$\log (\frac{\sqrt{x^{2} y^{3}}}{z})$
21437	Solve the Absolute Value Inequality for x	(2\|x-1\|)/5>=2	$\frac{2 \| x - 1 \|}{5} \geq 2$
21438	Solve the Inequality for x	-x^2+28>3x+10	$- x^{2} + 28 > 3 x + 10$
21439	Simplify	(x^4)(x^(k-4))	$(x^{4}) (x^{k - 4})$
21440	Simplify	(25^(5/9)*25^(7/9))/(5^(4/3))	$\frac{25^{\frac{5}{9}} \cdot 25^{\frac{7}{9}}}{5^{\frac{4}{3}}}$
21441	Simplify	3(500)^-2	$3 {(500)}^{- 2}$
21442	Graph	-3(1/2)^x-4	$- 3 {(\frac{1}{2})}^{x} - 4$
21443	Simplify	(ha^(1/5)w^(3/8))/(h^-2a^(1/5)w^(4/8))	$\frac{h a^{\frac{1}{5}} w^{\frac{3}{8}}}{h^{- 2} a^{\frac{1}{5}} w^{\frac{4}{8}}}$
21444	Solve for d	9(d-25)=920	$9 (d - 25) = 920$
21445	Add	(x+1-3x^2)+(8x+21x^2-1)	$(x + 1 - 3 x^{2}) + (8 x + 21 x^{2} - 1)$
21446	Simplify	(36m^4y^4-18m^3y^2)/(6m^2y)	$\frac{36 m^{4} y^{4} - 18 m^{3} y^{2}}{6 m^{2} y}$
21447	Solve for x	(1/8)^(-3x)=512^(3x)	${(\frac{1}{8})}^{- 3 x} = 512^{3 x}$
21448	Evaluate the Integral	integral of (2e^(1/(x^2)))/(3x^3) with respect to x	$\int \frac{2 e^{\frac{1}{x^{2}}}}{3 x^{3}} d x$
21449	Simplify	f+f-5f	$f + f - 5 f$
21450	Evaluate	(((3xy^-5)^3)/((x^-2y^2)^-4))^-2	${(\frac{{(3 x y^{- 5})}^{3}}{{(x^{- 2} y^{2})}^{- 4}})}^{- 2}$
21451	Graph	f(x)=2x^3-4x^2+x+1	$f (x) = 2 x^{3} - 4 x^{2} + x + 1$
21452	Solve the Inequality for x	x÷4>x-12	$x \div 4 > x - 12$
21453	Write the Fraction in Simplest Form	((3d^-2)^-4)/(3d^10q)	$\frac{{(3 d^{- 2})}^{- 4}}{3 d^{10} q}$
21454	Solve the Inequality for x	-4/5x-3<=17	$- \frac{4}{5} x - 3 \leq 17$
21455	Find dy/dx	4x^3-3xy^2+y^3=28	$4 x^{3} - 3 x y^{2} + y^{3} = 28$
21456	Simplify	(1+ square root of 5)/(1- square root of 5)	$\frac{1 + \sqrt{5}}{1 - \sqrt{5}}$
21457	Evaluate the Limit	limit as x approaches 0 of (tan(nx))/(sin(x))	$lim_{x \to 0} \frac{\tan (n x)}{\sin (x)}$
21458	Find the Derivative - d/dx	2^(1/x)	$2^{\frac{1}{x}}$
21459	Simplify	(16x^9y^5-4x^9y^5)/(2x^3y^5)+3x*7x^5	$\frac{16 x^{9} y^{5} - 4 x^{9} y^{5}}{2 x^{3} y^{5}} + 3 x \cdot 7 x^{5}$
21460	Write the Fraction in Simplest Form	(12m^2)/((4m)^-4)	$\frac{12 m^{2}}{{(4 m)}^{- 4}}$
21461	Factor	(3n+1)(4n+1)+(n+2)(4n+1)	$(3 n + 1) (4 n + 1) + (n + 2) (4 n + 1)$
21462	Solve for m	log base 4 of 2m^3-14m^2- log base 4 of 2m = log base 4 of 8	$\log_{4} (2 m^{3} - 14 m^{2}) - \log_{4} (2 m) = \log_{4} (8)$
21463	Simplify	3p^2q+8p^3-2p^2q+2p+5p^3	$3 p^{2} q + 8 p^{3} - 2 p^{2} q + 2 p + 5 p^{3}$
21464	Solve for k	-15k=9(-k+14)	$- 15 k = 9 (- k + 14)$
21465	Write in Exponential Form	square root of x* fourth root of x	$\sqrt{x} \cdot \sqrt[4]{x}$
21466	Find the Concavity	f(x)=2/15x^6+x^5	$f (x) = \frac{2}{15} x^{6} + x^{5}$
21467	Graph	-5<x-4<=1	$- 5 < x - 4 \leq 1$
21468	Find the Derivative - d/dx	d/(dx)( natural log of x^2+1)	$\frac{d}{d x} (\ln (x^{2} + 1))$
21469	Graph	-4/(x^2-3x)	$- \frac{4}{x^{2} - 3 x}$
21470	Find the Asymptotes	f(x)=(3x^4-2x+1)/(-x^3+8)	$f (x) = \frac{3 x^{4} - 2 x + 1}{- x^{3} + 8}$
21471	Graph	-2(x-1)>y/2+4 (x-1)/3<=(x-4)/6	$- 2 (x - 1) > \frac{y}{2} + 4$ $\frac{x - 1}{3} \leq \frac{x - 4}{6}$
21472	Solve by Substitution	2x-2y=2 y=x-1	$2 x - 2 y = 2$ $y = x - 1$
21473	Find the Maximum/Minimum Value	f(x)=-1/5x^5-2x^4-5x^3+9	$f (x) = - \frac{1}{5} x^{5} - 2 x^{4} - 5 x^{3} + 9$
21474	Simplify the Radical Expression	square root of 8x* square root of 4x* square root of 3x	$\sqrt{8 x} \cdot \sqrt{4 x} \cdot \sqrt{3 x}$
21475	Simplify the Radical Expression	square root of 64m^3n^3	$\sqrt{64 m^{3}} n^{3}$
21476	Graph	y<2x 2x+y<-5	$y < 2 x$ $2 x + y < - 5$
21477	Find the Antiderivative	g(x)=5 cube root of x^2-1/(2 square root of x)+pi	$g (x) = 5 \sqrt[3]{x^{2}} - \frac{1}{2 \sqrt{x}} + π$
21478	Find the Percentage Rate of Change	y=(0.85)^x	$y = {(0.85)}^{x}$
21479	Simplify	(-30x^3y+12x^2y^2-18x^2y)÷(-6x^2y)	$(- 30 x^{3} y + 12 x^{2} y^{2} - 18 x^{2} y) \div (- 6 x^{2} y)$
21480	Simplify the Radical Expression	cube root of x* square root of x	$\sqrt[3]{x} \cdot \sqrt{x}$
21481	Simplify	(x^2)^3(y^2)^4(x^3)^7	${(x^{2})}^{3} {(y^{2})}^{4} {(x^{3})}^{7}$
21482	Simplify	3 3/5*(-8 1/3)	$3 \frac{3}{5} \cdot (- 8 \frac{1}{3})$
21483	Solve the System of Equations	y=5 y=2x+16	$y = 5$ $y = 2 x + 16$
21484	Evaluate Using the Given Value	ab+a^2 if a=937 and b=63	$a b + a^{2}$ if $a = 937$ and $b = 63$
21485	Find the Maximum/Minimum Value	y=-4cos(x+pi/4)	$y = - 4 \cos (x + \frac{π}{4})$
21486	Solve for x	2x+4-3/2x=1/3(x+5)	$2 x + 4 - \frac{3}{2} x = \frac{1}{3} (x + 5)$
21487	Solve the Function Operation	f(x)=5x+1 ; find f(-3)	$f (x) = 5 x + 1$ ; find $f (- 3)$
21488	Simplify	((x^2y^-3)^2)/((x^-1y^4)^-3)	$\frac{{(x^{2} y^{- 3})}^{2}}{{(x^{- 1} y^{4})}^{- 3}}$
21489	Simplify the Radical Expression	( square root of 15)/( square root of 12)	$\frac{\sqrt{15}}{\sqrt{12}}$
21490	Simplify	square root of (4r^10)/(s^6)	$\sqrt{\frac{4 r^{10}}{s^{6}}}$
21491	Simplify	0/( square root of 1-0^2)	$\frac{0}{\sqrt{1 - 0^{2}}}$
21492	Solve for x	x-6 = square root of 3	$x - 6 = \sqrt{3}$
21493	Find the Skew	11 , 14 , 14 , 17 , 17 , 17 , 41 , 44 , 47 , 71 , 74 , 77	$11$ , $14$ , $14$ , $17$ , $17$ , $17$ , $41$ , $44$ , $47$ , $71$ , $74$ , $77$
21494	Subtract	3/(x^2-4)-(x+5)/(x+2)	$\frac{3}{x^{2} - 4} - \frac{x + 5}{x + 2}$
21495	Simplify	6a+8b+5(3a+b+4c)-(2a+3b)	$6 a + 8 b + 5 (3 a + b + 4 c) - (2 a + 3 b)$
21496	Solve for x	(5^(x/6))(5^((2x)/3))=5^4	$(5^{\frac{x}{6}}) (5^{\frac{2 x}{3}}) = 5^{4}$
21497	Solve the System of Equations	-3x-6y+4z=-8 -3x-y+2z=10 3x+4y-3z=1	$- 3 x - 6 y + 4 z = - 8$ $- 3 x - y + 2 z = 10$ $3 x + 4 y - 3 z = 1$
21498	Simplify	(-3a^2c)(-3b^2c)	$(- 3 a^{2} c) (- 3 b^{2} c)$
21499	Write in Exponential Form	fourth root of x^5* fifth root of x^2	$\sqrt[4]{x^{5}} \cdot \sqrt[5]{x^{2}}$
21500	Graph	y=cos(x/3+pi/2)	$y = \cos (\frac{x}{3} + \frac{π}{2})$