Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33601	Evaluate the Limit	limit as x approaches infinity of (3x^2+20x)/(4x^2+9)	$lim_{x \to \infty} \frac{3 x^{2} + 20 x}{4 x^{2} + 9}$
33602	Simplify	8/(7v-6)+4/(3v^2)	$\frac{8}{7 v - 6} + \frac{4}{3 v^{2}}$
33603	Simplify	w/(4^-2)	$\frac{w}{4^{- 2}}$
33604	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (3tan(3x)-x^3)/(4 natural log of 1-2x-3x^3)	$lim_{x \to 0} \frac{3 \tan (3 x) - x^{3}}{4 \ln (1 - 2 x) - 3 x^{3}}$
33605	Simplify	((3-4i)/5)-1	$(\frac{3 - 4 i}{5}) - 1$
33606	Simplify	((6x^3)^2)/((2x^2)^3)*(3x^2)^0	$\frac{{(6 x^{3})}^{2}}{{(2 x^{2})}^{3}} \cdot {(3 x^{2})}^{0}$
33607	Find the Maximum/Minimum Value	f(x)=10/3x^3-x^2-8x+48	$f (x) = \frac{10}{3} x^{3} - x^{2} - 8 x + 48$
33608	Write in Standard Form	4x^4+8x^2+1-3x	$4 x^{4} + 8 x^{2} + 1 - 3 x$
33609	Solve for x	7=3(5+x)	$7 = 3 (5 + x)$
33610	Evaluate the Function	Evaluate f(x)=3(2)^x for x=-1	Evaluate $f (x) = 3 {(2)}^{x}$ for $x = - 1$
33611	Simplify	(3x^2y^(3/2))/(xy^(1/2))	$\frac{3 x^{2} y^{\frac{3}{2}}}{x y^{\frac{1}{2}}}$
33612	Add	(3x^2+2x+1)+(-3+2x-x^2)	$(3 x^{2} + 2 x + 1) + (- 3 + 2 x - x^{2})$
33613	Find dy/dx	x^3-y^3=6xy	$x^{3} - y^{3} = 6 x y$
33614	Solve the Inequality for p	\|9p-5\|=2p	$\| 9 p - 5 \| = 2 p$
33615	Simplify	(2x+y-4z)^2	${(2 x + y - 4 z)}^{2}$
33616	Solve by Factoring	n^2-1+6n=6n	$n^{2} - 1 + 6 n = 6 n$
33617	Solve for x	(x)=\|x\|	$(x) = \| x \|$
33618	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-x^3+x^2-19x-6 is divided by x-3	Use synthetic division to find the result when $x^{4} - x^{3} + x^{2} - 19 x - 6$ is divided by $x - 3$
33619	Find Amplitude, Period, and Phase Shift	y=1/6sin(x/4)	$y = \frac{1}{6} \sin (\frac{x}{4})$
33620	Simplify	(9(y+2))÷3*2+1	$9 (y + 2) \div 3 \cdot 2 + 1$
33621	Simplify	(8x^2-24x)/(-4x)	$\frac{8 x^{2} - 24 x}{- 4 x}$
33622	Simplify	2(x+2)^2-8	$2 {(x + 2)}^{2} - 8$
33623	Simplify	(n^2)/( square root of 9n^11)	$\frac{n^{2}}{\sqrt{9 n^{11}}}$
33624	Solve for y	y-2 = square root of 2y+20	$y - 2 = \sqrt{2 y + 20}$
33625	Solve the Rational Equation for x	-(2x)/(x-2)+5=-4/(x-2)	$- \frac{2 x}{x - 2} + 5 = - \frac{4}{x - 2}$
33626	Solve for x	\|x-4\|=\|3x\|	$\| x - 4 \| = \| 3 x \|$
33627	Evaluate	-(1/41/41/4*1/4)	$- (\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4})$
33628	Simplify	- square root of (1+cos(7A))/2	$- \sqrt{\frac{1 + \cos (7 A)}{2}}$
33629	Simplify	(p^3)(2p^2-4p)(3p^2-1) ?	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$ ?
33630	Evaluate	i^3=(i^2)i	$i^{3} = (i^{2}) i$
33631	Simplify	(0.005w)^0abc	${(0.005 w)}^{0} a b c$
33632	Find the Exact Value	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
33633	Simplify	square root of 2a* square root of 14a^3* square root of 5a	$\sqrt{2 a \cdot \sqrt{14 a^{3}} \cdot \sqrt{5 a}}$
33634	Rationalize the Denominator	(x-y)/( square root of x- square root of y)	$\frac{x - y}{\sqrt{x} - \sqrt{y}}$
33635	Simplify	9m+3+m-3+5m	$9 m + 3 + m - 3 + 5 m$
33636	Solve by Substitution	-v+w=7 v+w=1	$- v + w = 7$ $v + w = 1$
33637	Solve the System of Equations	1/2x+3/5y=2 1/6x-1/3y=-2	$\frac{1}{2} x + \frac{3}{5} y = 2$ $\frac{1}{6} x - \frac{1}{3} y = - 2$
33638	Solve the Inequality for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
33639	Solve the System of Inequalities	y<=x+10 y>6x+2	$y \leq x + 10$ $y > 6 x + 2$
33640	Simplify	((x^2-3x-10)/(2x^2-11x+5))÷((x^2-5x+6)/(2x^2-7x+3))	$\frac{x^{2} - 3 x - 10}{2 x^{2} - 11 x + 5} \div \frac{x^{2} - 5 x + 6}{2 x^{2} - 7 x + 3}$
33641	Solve for x	1/(sin(x)^2)=4	$\frac{1}{\sin^{2} (x)} = 4$
33642	Simplify the Radical Expression	cube root of 3/(5a^4)	$\sqrt[3]{\frac{3}{5 a^{4}}}$
33643	Simplify the Matrix	A=[[2,3],[4,7]] and B=[[7/2,-3/2],[-2,1]]	$A = [\begin{array}{c} 2 & 3 \\ 4 & 7 \end{array}]$ and $B = [\begin{array}{c} \frac{7}{2} & - \frac{3}{2} \\ - 2 & 1 \end{array}]$
33644	Evaluate the Integral	integral of ((-4x-4x^5)/(x^2)+5e^(7x)) with respect to x	$\int (\frac{- 4 x - 4 x^{5}}{x^{2}} + 5 e^{7 x}) d x$
33645	Find Amplitude, Period, and Phase Shift	y=2cos(1/2x)+1	$y = 2 \cos (\frac{1}{2} x) + 1$
33646	Find dy/dx	y=2cos(x)^3	$y = 2 \cos^{3} (x)$
33647	Simplify	5/(2-x)-4/x	$\frac{5}{2 - x} - \frac{4}{x}$
33648	Simplify	Find (x+10)^2	Find ${(x + 10)}^{2}$
33649	Solve the Function Operation	f(x)=5(x^(1/3)-6) ; find f^-1(x)	$f (x) = 5 (x^{\frac{1}{3}} - 6)$ ; find $f^{- 1} (x)$
33650	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^4+4x-9 square root of x+3x^2-8	$f (x) = 2 x^{4} + 4 x - 9 \sqrt{x} + 3 x^{2} - 8$
33651	Solve for x	(x)+(x+3)+(x-2)+3(x+3)-1=87	$(x) + (x + 3) + (x - 2) + 3 (x + 3) - 1 = 87$
33652	Evaluate the Limit	limit as x approaches infinity of 4x^3-x^4	$lim_{x \to \infty} 4 x^{3} - x^{4}$
33653	Solve for θ in Degrees	14cos(theta)-5=5cos(theta)-5	$14 \cos (θ) - 5 = 5 \cos (θ) - 5$
33654	Divide Using Long Polynomial Division	(2x^3+7)/x	$\frac{2 x^{3} + 7}{x}$
33655	Solve the System of Equations	3x+2y=13 3x+2y+z=13 2x+y+3z=9	$3 x + 2 y = 13$ $3 x + 2 y + z = 13$ $2 x + y + 3 z = 9$
33656	Graph	F(x)=-12/(x^2+8x+12)	$F (x) = \frac{- 12}{x^{2} + 8 x + 12}$
33657	Solve for A	square root of A=6	$\sqrt{A} = 6$
33658	Solve for x	y=6(x-a)	$y = 6 (x - a)$
33659	Solve for m	cube root of 5m+2=9	$\sqrt[3]{5 m + 2} = 9$
33660	Evaluate	185/100+50%+4%	$\frac{185}{100} + 50 % + 4 %$
33661	Evaluate the Integral	integral from 0 to 1 of xsin(pix^2) with respect to x	$\int_{0}^{1} x \sin (π x^{2}) d x$
33662	Simplify	(2x+3)/(x+4)+(x-1)/(x^2+2x-8)	$\frac{2 x + 3}{x + 4} + \frac{x - 1}{x^{2} + 2 x - 8}$
33663	Evaluate Using the Given Value	(a-(2a-1)/a)/((1-a)/(3a)) if a=-1.5	$\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}$ if $a = - 1.5$
33664	Solve the Inequality for x	2-10x>5-4(3-2x)	$2 - 10 x > 5 - 4 (3 - 2 x)$
33665	Describe the Transformation	f(x) = cube root of x , g(x) = cube root of x+4-5	$f (x) = \sqrt[3]{x}$ , $g (x) = \sqrt[3]{x + 4} - 5$
33666	Write the Fraction in Simplest Form	((5h^-5s^-4)^-3)/(20h^5s^-7)	$\frac{{(5 h^{- 5} s^{- 4})}^{- 3}}{20 h^{5} s^{- 7}}$
33667	Simplify the Radical Expression	cube root of -0.008	$\sqrt[3]{- 0.008}$
33668	Solve the System of Equations	Solve the system of equations y=3x+4 and y=2x+4 using the Graphing Method.	Solve the system of equations $y = 3 x + 4$ and $y = 2 x + 4$ using the Graphing Method.
33669	Solve the System of Equations	a+5b-c=-20 4a-5b+4c=19 -a-5b-5c=2	$a + 5 b - c = - 20$ $4 a - 5 b + 4 c = 19$ $- a - 5 b - 5 c = 2$
33670	Simplify	-4/5m+1/5m+1/4n-1/4n	$- \frac{4}{5} m + \frac{1}{5} m + \frac{1}{4} n - \frac{1}{4} n$
33671	Simplify	( fourth root of 81x^8y^12)^3	${(\sqrt[4]{81 x^{8} y^{12}})}^{3}$
33672	Solve for y	natural log of (1+xy)/(1-xy)-2x=c	$\ln (\frac{1 + x y}{1 - x y}) - 2 x = c$
33673	Solve the Inequality for x	1/6(x-15)<x+20	$\frac{1}{6} (x - 15) < x + 20$
33674	Verify the Identity	(sin(x)^2)/(cos(x))+cos(x)-1/(cos(x))+1=sec(x)^2cos(x)^2	$\frac{\sin^{2} (x)}{\cos (x)} + \cos (x) - \frac{1}{\cos (x)} + 1 = \sec^{2} (x) \cos^{2} (x)$
33675	Solve for q	\|q\|-5>0	$\| q \| - 5 > 0$
33676	Solve the Inequality for b	12>=-3b	$12 \geq - 3 b$
33677	Rationalize the Denominator	fourth root of 81/(4x^6)	$\sqrt[4]{\frac{81}{4 x^{6}}}$
33678	Simplify the Radical Expression	( fourth root of 27)/( square root of 3)	$\frac{\sqrt[4]{27}}{\sqrt{3}}$
33679	Simplify	(2^(2x)-1)/(2^x+1)	$\frac{2^{2 x} - 1}{2^{x} + 1}$
33680	Find the Inverse	4x^2 , x<=0	$4 x^{2}$ , $x \leq 0$
33681	Simplify	-6z+(-5.5)+3.5z+5y-2.5	$- 6 z + (- 5.5) + 3.5 z + 5 y - 2.5$
33682	Graph	( square root of 3,0)	$(\sqrt{3}, 0)$
33683	Solve the Function Operation	f(x)=( cube root of x-6)/4 ; find f^-1(x)	$f (x) = \frac{\sqrt[3]{x - 6}}{4}$ ; find $f^{- 1} (x)$
33684	Simplify	square root of x*x	$\sqrt{x \cdot x}$
33685	Factor	2x^3-5x^2+40x-100=0	$2 x^{3} - 5 x^{2} + 40 x - 100 = 0$
33686	Solve the Function Operation	Given f(x)=6(1-x) ; what is the value of f(-8) ?	Given $f (x) = 6 (1 - x)$ ; what is the value of $f (- 8)$ ?
33687	Add	x/(x^2-49)+(3x+1)/(x+7)	$\frac{x}{x^{2} - 49} + \frac{3 x + 1}{x + 7}$
33688	Write in Standard Form	f(x)=(x+2)(x-2)	$f (x) = (x + 2) (x - 2)$
33689	Find the Reference Angle	sin((19pi)/6)	$\sin (\frac{19 π}{6})$
33690	Find the Directrix	6x+y^2=0	$6 x + y^{2} = 0$
33691	Solve for x	square root of x-2 = square root of 12	$\sqrt{x - 2} = \sqrt{12}$
33692	Evaluate	(4.1610^3+2.5810^2)/(5.377*10^4)	$\frac{4.16 \cdot 10^{3} + 2.58 \cdot 10^{2}}{5.377 \cdot 10^{4}}$
33693	Find the Exact Value	sin(120 degrees )^2	$\sin^{2} (120 °)$
33694	Divide Using Synthetic Division	5x^3-15x^2+16x-12 by x-2	$5 x^{3} - 15 x^{2} + 16 x - 12$ by $x - 2$
33695	Solve for y	2y-x=3/4(-y+1)	$2 y - x = \frac{3}{4} (- y + 1)$
33696	Solve for q	4(3q+10)=6(2q-9)	$4 (3 q + 10) = 6 (2 q - 9)$
33697	Find the Second Derivative	x*e^x	$x \cdot e^{x}$
33698	Write the Fraction in Simplest Form	((-3s^-1c^-4)^2)/(4s^10c^-10)	$\frac{{(- 3 s^{- 1} c^{- 4})}^{2}}{4 s^{10} c^{- 10}}$
33699	Write the Fraction in Simplest Form	(2(p^2)^-4)/(2r^-2)	$\frac{2 {(p^{2})}^{- 4}}{2 r^{- 2}}$
33700	Evaluate the Integral	integral of (x^3)/(2x^4) with respect to x	$\int \frac{x^{3}}{2 x^{4}} d x$