Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28501	Simplify	x/2+2/x	$\frac{x}{2} + \frac{2}{x}$
28502	Graph	M(s)=-5(s-4)(s-2)(s+1)(s+3)(s+5)	$M (s) = - 5 (s - 4) (s - 2) (s + 1) (s + 3) (s + 5)$
28503	Solve for x	128=4^(2x)*2^x	$128 = 4^{2 x} \cdot 2^{x}$
28504	Evaluate	(27^2)/27 4/3	$\frac{27^{2}}{27 \frac{4}{3}}$
28505	Write as a Single Logarithm	1/2* log base 2 of 9x^16-2/3* log base 2 of 8x^3	$\frac{1}{2} \cdot \log_{2} (9 x^{16}) - \frac{2}{3} \cdot \log_{2} (8 x^{3})$
28506	Solve the Inequality for x	-1<=(x-4)/4<1/2	$- 1 \leq \frac{x - 4}{4} < \frac{1}{2}$
28507	Find dx/dy	x/(y^3)=1	$\frac{x}{y^{3}} = 1$
28508	Find the Derivative - d/dy	(1+x+y)/( square root of 1+x^2+y^2)	$\frac{1 + x + y}{\sqrt{1 + x^{2} + y^{2}}}$
28509	Simplify	5/(1/3x^(-2/3)+4)	$\frac{5}{\frac{1}{3} x^{- \frac{2}{3}} + 4}$
28510	Find the Roots (Zeros)	-3x(x+4)(3x+2)(x-9)	$- 3 x (x + 4) (3 x + 2) (x - 9)$
28511	Solve the Inequality for x	natural log of x<=9	$\ln (x) \leq 9$
28512	Find h(g(x))	g(x)=2x and h(x)=x^2+4	$g (x) = 2 x$ and $h (x) = x^{2} + 4$
28513	Simplify the Radical Expression	fourth root of (81a^12)/(625b^8)	$\sqrt[4]{\frac{81 a^{12}}{625 b^{8}}}$
28514	Integrate Using u-Substitution	integral of x^2 square root of x-1 with respect to x	$\int x^{2} \sqrt{x - 1} d x$
28515	Solve for r	s=r(((1+i)^n-1)/i)	$s = r (\frac{{(1 + i)}^{n} - 1}{i})$
28516	Evaluate	square root of 99-2 square root of 27+4 square root of 3-6 square root of 176	$\sqrt{99} - 2 \sqrt{27} + 4 \sqrt{3} - 6 \sqrt{176}$
28517	Solve for x	Solve: 21=14+7x	Solve: $21 = 14 + 7 x$
28518	Solve for h	82h+9(-16h+70)=-44h-36	$82 h + 9 (- 16 h + 70) = - 44 h - 36$
28519	Solve for t	square root of 2sin(t)=2cos(t)sin(t)	$\sqrt{2} \sin (t) = 2 \cos (t) \sin (t)$
28520	Solve for x	(2x^2-5x+3)/(10x-5)=0	$\frac{2 x^{2} - 5 x + 3}{10 x - 5} = 0$
28521	Evaluate the Limit	limit as x approaches pi/2 of sin(2x)+tan((5x)/2)	$lim_{x \to \frac{π}{2}} \sin (2 x) + \tan (\frac{5 x}{2})$
28522	Solve the Function Operation	Given that f(x)=x^2+2x-8 and g(x)=x+4 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 2 x - 8$ and $g (x) = x + 4$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
28523	Solve the Inequality for r	12>60-6r	$12 > 60 - 6 r$
28524	Find the Vertex	y=1/3(x-4)^2	$y = \frac{1}{3} {(x - 4)}^{2}$
28525	Solve the Rational Equation for r	(r-4)/(5r)=1/(5r)+1	$\frac{r - 4}{5 r} = \frac{1}{5 r} + 1$
28526	Simplify	((3x-9)/(9x^2-4))÷((5x+7)/(3x-2))	$\frac{3 x - 9}{9 x^{2} - 4} \div \frac{5 x + 7}{3 x - 2}$
28527	Evaluate	(1/(x+h)-1/x)/h	$\frac{\frac{1}{x + h} - \frac{1}{x}}{h}$
28528	Multiply	4 square root of 8* square root of 2	$4 \sqrt{8} \cdot \sqrt{2}$
28529	Solve the Inequality for m	m/-14<=-4	$\frac{m}{- 14} \leq - 4$
28530	Solve the Function Operation	f(x)=(x+9)^5 ; find f^-1(x)	$f (x) = {(x + 9)}^{5}$ ; find $f^{- 1} (x)$
28531	Solve for y	6x+3y=4x-2y+8	$6 x + 3 y = 4 x - 2 y + 8$
28532	Add	(-4x^2+3xy-y^2)+(-7x^2-xy+6y^2)+(x^2+4xy-2y^2)	$(- 4 x^{2} + 3 x y - y^{2}) + (- 7 x^{2} - x y + 6 y^{2}) + (x^{2} + 4 x y - 2 y^{2})$
28533	Write as a Single Logarithm	6 natural log of 2-4 natural log of y	$6 \ln (2) - 4 \ln (y)$
28534	Write in Standard Form	square root of 8	$\sqrt{8}$
28535	Find the Quotient	(6x^4-20x^3+15x^2-8)÷(-x^2+2x-1)	$(6 x^{4} - 20 x^{3} + 15 x^{2} - 8) \div (- x^{2} + 2 x - 1)$
28536	Solve for x	y=x/4-7 , y=2	$y = \frac{x}{4} - 7$ , $y = 2$
28537	Solve for x	(2sin(x)+1)(sin(x)+1)=0	$(2 \sin (x) + 1) (\sin (x) + 1) = 0$
28538	Find the Distance Between Two Points	(2,-3) and (-4,-7)	$(2, - 3)$ and $(- 4, - 7)$
28539	Find Where Increasing/Decreasing	f(x)=-x^3+15x^2-75x+125	$f (x) = - x^{3} + 15 x^{2} - 75 x + 125$
28540	Solve the Rational Equation for x	5 square root of x=30	$5 \sqrt{x} = 30$
28541	Find the Antiderivative	1959*e^(1959x)	$1959 \cdot e^{1959 x}$
28542	Graph	(-3,2) y (5,-8)	$(- 3, 2)$ $y$ $(5, - 8)$
28543	Find the Integral	1/( square root of 1-x)	$\frac{1}{\sqrt{1 - x}}$
28544	Simplify	(2 square root of x)^3	${(2 \sqrt{x})}^{3}$
28545	Solve for z	4z^2-8z+5=2	$4 z^{2} - 8 z + 5 = 2$
28546	Solve for x	5-(x+7)/8=x/3	$5 - \frac{x + 7}{8} = \frac{x}{3}$
28547	Simplify	(3x^5+17x^3-1)+(-2x^5-6)	$(3 x^{5} + 17 x^{3} - 1) + (- 2 x^{5} - 6)$
28548	Write in Standard Form	(9c^6)(3c^6)	$(9 c^{6}) (3 c^{6})$
28549	Simplify	(a^4)^6(b^5)^-2	${(a^{4})}^{6} {(b^{5})}^{- 2}$
28550	Solve for x	10x-1=(2x+1)^2	$10 x - 1 = {(2 x + 1)}^{2}$
28551	Solve for x	log of 10/x=3+ log of x	$\log (\frac{10}{x}) = 3 + \log (x)$
28552	Solve for q	e=(kq)/(r^2)	$e = \frac{k q}{r^{2}}$
28553	Graph	sin(t)>0 and cos(t)<0	$\sin (t) > 0$ and $\cos (t) < 0$
28554	Simplify	-y^3x-y^2x+y^2+y^3x+y^2	$- y^{3} x - y^{2} x + y^{2} + y^{3} x + y^{2}$
28555	Evaluate the Integral	integral of (3 square root of x^5)/2 with respect to x	$\int \frac{3 \sqrt{x^{5}}}{2} d x$
28556	Solve the Function Operation	f(x)=(x+4)^(1/3) ; find f^-1(x)	$f (x) = {(x + 4)}^{\frac{1}{3}}$ ; find $f^{- 1} (x)$
28557	Find the Derivative - d/dx	(70x)/((3x^2+8)^2)	$\frac{70 x}{{(3 x^{2} + 8)}^{2}}$
28558	Solve Using the Quadratic Formula	3y^2+6y+15=12x	$3 y^{2} + 6 y + 15 = 12 x$
28559	Factor by Grouping	xa+ya+x+y	$x a + y a + x + y$
28560	Evaluate the Function	g(-x)=-x^3	$g (- x) = - x^{3}$
28561	Solve the System of Inequalities	p-2<=-2 or p-2>1	$p - 2 \leq - 2$ or $p - 2 > 1$
28562	Simplify	3/2(x-2)	$\frac{3}{2} (x - 2)$
28563	Solve the Inequality for x	x/2+y/3>1	$\frac{x}{2} + \frac{y}{3} > 1$
28564	Evaluate	(2xy^3)^4	${(2 x y^{3})}^{4}$
28565	Graph	Slope -3	Slope $- 3$
28566	Multiply	5x^3(2x+4y)	$5 x^{3} (2 x + 4 y)$
28567	Solve for r	g=-5r+13	$g = - 5 r + 13$
28568	Simplify	square root of 9* square root of -9	$\sqrt{9} \cdot \sqrt{- 9}$
28569	Find the Remainder	x^3-3x+2 , x+2	$x^{3} - 3 x + 2$ , $x + 2$
28570	Simplify	24/((2 square root of x)^3)	$\frac{24}{{(2 \sqrt{x})}^{3}}$
28571	Simplify	cos(x)-sin(x)tan(x)	$\cos (x) - \sin (x) \tan (x)$
28572	Solve for c	-20-4c-6c=2(9c+19)-2	$- 20 - 4 c - 6 c = 2 (9 c + 19) - 2$
28573	Simplify	2x^(1/2)*3x^(1/3)	$2 x^{\frac{1}{2}} \cdot 3 x^{\frac{1}{3}}$
28574	Solve for n	a=p(1+nr) for n	$a = p (1 + n r)$ for $n$
28575	Solve the Rational Equation for x	x = square root of x+12	$x = \sqrt{x + 12}$
28576	Divide	(5x-35y+50)÷5	$(5 x - 35 y + 50) \div 5$
28577	Evaluate	x = square root of x+12	$x = \sqrt{x + 12}$
28578	Solve Using the Quadratic Formula	2^2=-3x+20	$2^{2} = - 3 x + 20$
28579	Solve the Function Operation	f(x)=(x-3)^2-2 if x!=3; 2 if x=3 Find f(3)	$f (x) = {\begin{cases} {(x - 3)}^{2} - 2 & x \neq 3 \\ 2 & x = 3 \end{cases}$ Find $f (3)$
28580	Find the Excluded Values	((8x+32)/(x^2+8x+16))÷((x^2-6x)/(x^2-2x-24))	$\frac{8 x + 32}{x^{2} + 8 x + 16} \div \frac{x^{2} - 6 x}{x^{2} - 2 x - 24}$
28581	Simplify	2i+3+7-12i	$2 i + 3 + 7 - 12 i$
28582	Evaluate	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
28583	Evaluate	y=3^-1	$y = 3^{- 1}$
28584	Graph	x^(1/x)	$x^{\frac{1}{x}}$
28585	Solve for x	3x-9+x+15+90=180	$3 x - 9 + x + 15 + 90 = 180$
28586	Simplify	(18x^3y^2-6x^2y^3+3x^3y^3)/(3x^3y^3)	$\frac{18 x^{3} y^{2} - 6 x^{2} y^{3} + 3 x^{3} y^{3}}{3 x^{3} y^{3}}$
28587	Simplify the Radical Expression	(x^8y^8)^(1/3)	${(x^{8} y^{8})}^{\frac{1}{3}}$
28588	Solve the Rational Equation for x	(x-5)^4=256	${(x - 5)}^{4} = 256$
28589	Solve the Rational Equation for x	1/2+1/(2x)=(x^2-7x+10)/(4x)	$\frac{1}{2} + \frac{1}{2 x} = \frac{x^{2} - 7 x + 10}{4 x}$
28590	Solve the Inequality for x	1-x>0	$1 - x > 0$
28591	Evaluate	(4x)/5=(2x+58)/3	$\frac{4 x}{5} = \frac{2 x + 58}{3}$
28592	Write as a Single Logarithm	4 log base 4 of x+5 log base 4 of 2	$4 \log_{4} (x) + 5 \log_{4} (2)$
28593	Find the Derivative - d/dr	y=-3r^5-5r^2	$y = - 3 r^{5} - 5 r^{2}$
28594	Solve for x	x/(x+4)=3-4/(x+4)	$\frac{x}{x + 4} = 3 - \frac{4}{x + 4}$
28595	Simplify	(1/y+1/(xy))/(1+1/(xy))+(y+1)/(y+1/x)-1	$\frac{\frac{1}{y} + \frac{1}{x y}}{1 + \frac{1}{x y}} + \frac{y + 1}{y + \frac{1}{x}} - 1$
28596	Simplify the Radical Expression	(16x^4yz^6)^(1/2)	${(16 x^{4} y z^{6})}^{\frac{1}{2}}$
28597	Solve the Function Operation	f(x) = fourth root of x+6 ; find f^-1(x)	$f (x) = \sqrt[4]{x + 6}$ ; find $f^{- 1} (x)$
28598	Find All Complex Solutions	3tan(3x) = square root of 3	$3 \tan (3 x) = \sqrt{3}$
28599	Find the Product	5x^2*2y^2	$5 x^{2} \cdot 2 y^{2}$
28600	Evaluate the Integral	integral of (e^t+1/t) with respect to t	$\int (e^{t} + \frac{1}{t}) d t$