Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
31501	Solve the System of Equations	x-y=12 and x+7y=-20	$x - y = 12$ and $x + 7 y = - 20$
31502	Find the Domain	(x(x-2))/((x-2)(x+3))=x/(x+3)	$\frac{x (x - 2)}{(x - 2) (x + 3)} = \frac{x}{x + 3}$
31503	Find the Exact Value	2^-2*3^-1	$2^{- 2} \cdot 3^{- 1}$
31504	Simplify	-9m^-2n^5*2m^-3n^-6 ?	$- 9 m^{- 2} n^{5} \times 2 m^{- 3} n^{- 6}$ ?
31505	Write Using Positive Exponents	(y^-5)/(y^-2)	$\frac{y^{- 5}}{y^{- 2}}$
31506	Find the Quotient	(8x^2+2x^3+3)÷(x^2+2x-1)	$(8 x^{2} + 2 x^{3} + 3) \div (x^{2} + 2 x - 1)$
31507	Solve the System of Equations	x+y=-4 y=-x+5	$x + y = - 4$ $y = - x + 5$
31508	Factor	(81x^4-16)	$(81 x^{4} - 16)$
31509	Graph	x-6y>5 7x+2y>=4	$x - 6 y > 5$ $7 x + 2 y \geq 4$
31510	Simplify	2x^2+x-3+x-1	$2 x^{2} + x - 3 + x - 1$
31511	Factor	x^4-5x^2+6=0	$x^{4} - 5 x^{2} + 6 = 0$
31512	Simplify	(2 fourth root of x)^2	${(2 \sqrt[4]{x})}^{2}$
31513	Multiply	14/9*3/4	$\frac{14}{9} \cdot \frac{3}{4}$
31514	Evaluate the Limit	limit as x approaches 1 of (x^2+4x-5)/(1- square root of x)	$lim_{x \to 1} \frac{x^{2} + 4 x - 5}{1 - \sqrt{x}}$
31515	Simplify	((x+2)^3)/(x+2)	$\frac{{(x + 2)}^{3}}{(x + 2)}$
31516	Solve by Factoring	x^4=16x^2	$x^{4} = 16 x^{2}$
31517	Solve for x	-6x-12=(1/2)^x-4	$- 6 x - 12 = {(\frac{1}{2})}^{x} - 4$
31518	Solve for x	4^(x-1)=2*4^(x-4)	$4^{x - 1} = 2 \cdot 4^{x - 4}$
31519	Solve for x	-4 square root of x-6=-20	$- 4 \sqrt{x} - 6 = - 20$
31520	Solve the Inequality for x	y<=x+4	$y \leq x + 4$
31521	Solve the System of Equations	4x+2y=-14 and 7x-y=16	$4 x + 2 y = - 14$ and $7 x - y = 16$
31522	Simplify	(((x-4)^2)/(3x))÷((x^2-16)/(x+4))	$\frac{{(x - 4)}^{2}}{3 x} \div \frac{(x^{2} - 16)}{x + 4}$
31523	Simplify the Radical Expression	square root of 1/(h^-5*h^6)	$\sqrt{\frac{1}{h^{- 5} \cdot h^{6}}}$
31524	Convert to Interval Notation	x<3 and x>-2	$x < 3$ and $x > - 2$
31525	Solve for x	x^2+(1/2)^2=1^2	$x^{2} + {(\frac{1}{2})}^{2} = 1^{2}$
31526	Graph	f(x)=(2-x)^2	$f (x) = {(2 - x)}^{2}$
31527	Solve for t	(t-3)^(1/3)=2	${(t - 3)}^{\frac{1}{3}} = 2$
31528	Solve for x	5x-6=3x-6+2x	$5 x - 6 = 3 x - 6 + 2 x$
31529	Find dy/dx	sin(x^2y)=x	$\sin (x^{2} y) = x$
31530	Solve for x	3e^(x+1)-7=23	$3 e^{x + 1} - 7 = 23$
31531	Simplify the Matrix	What is B if A=[[3,-2],[1,-4]] and AB=[[-4,-6],[2,-12]] ?	What is $B$ if $A = [\begin{array}{c} 3 & - 2 \\ 1 & - 4 \end{array}]$ and $A B = [\begin{array}{c} - 4 & - 6 \\ 2 & - 12 \end{array}]$ ?
31532	Find the Derivative - d/dx	2^xsin(x)	$2^{x} \sin (x)$
31533	Evaluate Using the Given Value	S=4LW+4wh+3(hL) ; for h	$S = 4 L W + 4 w h + 3 hL$ ; for $h$
31534	Simplify	(6z^4+3z^2-9)(3z^2-6)^-1	$(6 z^{4} + 3 z^{2} - 9) {(3 z^{2} - 6)}^{- 1}$
31535	Simplify	(14x^5y^3*3x^4y^9)/(6x^3y^4)	$\frac{14 x^{5} y^{3} \cdot 3 x^{4} y^{9}}{6 x^{3} y^{4}}$
31536	Factor	x^4-(x-z)^4	$x^{4} - {(x - z)}^{4}$
31537	Evaluate	32(-3/5)	$32 (\frac{- 3}{5})$
31538	Solve the Inequality for x	2x^2-21x+4>=-7x-8	$2 x^{2} - 21 x + 4 \geq - 7 x - 8$
31539	Simplify	4/( square root of 3p^6)	$\frac{4}{\sqrt{3 p^{6}}}$
31540	Solve for v	w^2-v^2=u^2	$w^{2} - v^{2} = u^{2}$
31541	Simplify	-7+3(x-2)+5	$- 7 + 3 (x - 2) + 5$
31542	Rationalize the Denominator	( square root of 3+ square root of 7)/( square root of 3- square root of 7)	$\frac{\sqrt{3} + \sqrt{7}}{\sqrt{3} - \sqrt{7}}$
31543	Simplify	fourth root of (1024m^10n^4p^12)/(4m^2p^4)	$\sqrt[4]{\frac{1024 m^{10} n^{4} p^{12}}{4 m^{2} p^{4}}}$
31544	Simplify	square root of fourth root of 4	$\sqrt{\sqrt[4]{4}}$
31545	Simplify	3(5+ square root of 21)	$3 (5 + \sqrt{21})$
31546	Evaluate	((x+7)/2)(6/x)	$(\frac{x + 7}{2}) (\frac{6}{x})$
31547	Find the Degree	x^4+2x^3-5x^2+7x=21	$x^{4} + 2 x^{3} - 5 x^{2} + 7 x = 21$
31548	Factor by Grouping	a^8-a^2b^6	$a^{8} - a^{2} b^{6}$
31549	Simplify	(e^3)/(e^(x+3))	$\frac{e^{3}}{e^{x + 3}}$
31550	Integrate Using u-Substitution	integral from 0 to 2 of (3x^2-1)/(x^2) with respect to x	$\int_{0}^{2} \frac{3 x^{2} - 1}{x^{2}} d x$
31551	Solve the System of Equations	p-6q+4r=2 2p+4q-8r=16 p-2q=5	$p - 6 q + 4 r = 2$ $2 p + 4 q - 8 r = 16$ $p - 2 q = 5$
31552	Simplify	(3x^2-2xy)/(2x)	$\frac{3 x^{2} - 2 x y}{2 x}$
31553	Solve the System of Equations	2x-4y=-2 and -x+8y=-23	$2 x - 4 y = - 2$ and $- x + 8 y = - 23$
31554	Simplify	(8 square root of 2)/(2 square root of 8)	$\frac{8 \sqrt{2}}{2 \sqrt{8}}$
31555	Simplify	(d^2)/d*8d^5	$\frac{d^{2}}{d} \cdot 8 d^{5}$
31556	Simplify	square root of 7x^4* square root of 8x^7	$\sqrt{7 x^{4}} \cdot \sqrt{8 x^{7}}$
31557	Factor by Grouping	11x-xy+11y-x^2	$11 x - x y + 11 y - x^{2}$
31558	Solve for b	b+1=2b	$b + 1 = 2 b$
31559	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,3) and has a slope of -1/6 ?	What is the equation of the line that passes through the point $(- 6, 3)$ and has a slope of $- \frac{1}{6}$ ?
31560	Find the Domain	f(x)=( square root of x+4)/(x^2+5x)	$f (x) = \frac{\sqrt{x + 4}}{x^{2} + 5 x}$
31561	Evaluate	65% of 80	$65 %$ of $80$
31562	Find the Asymptotes	((2x+3)(x-4))/(3(x-4))	$\frac{(2 x + 3) (x - 4)}{3 (x - 4)}$
31563	Evaluate	4.8+2.2w-1.4w+2.4	$4.8 + 2.2 w - 1.4 w + 2.4$
31564	Solve the Inequality for x	-4x<=10-6x	$- 4 x \leq 10 - 6 x$
31565	Solve by Completing the Square	5x^2-57x=3x-120	$5 x^{2} - 57 x = 3 x - 120$
31566	Factor	Factor 2x^2+4x-30	Factor $2 x^{2} + 4 x - 30$
31567	Simplify	(-9b^-5)/((-3b^-1*b^-4)^3)	$\frac{- 9 b^{- 5}}{{(- 3 b^{- 1} \cdot b^{- 4})}^{3}}$
31568	Solve for x	6x-(2x+3)>4x-5	$6 x - (2 x + 3) > 4 x - 5$
31569	Solve for x	(11x)/10+2=(9x)/8	$\frac{11 x}{10} + 2 = \frac{9 x}{8}$
31570	Solve the System of Equations	y=2x-3 y-2x=-3	$y = 2 x - 3$ $y - 2 x = - 3$
31571	Simplify	((5^3)^2)/((5^2)^4)	$\frac{{(5^{3})}^{2}}{{(5^{2})}^{4}}$
31572	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^x+e^(-x)-2)/(1-cos(2x))	$lim_{x \to 0} \frac{e^{x} + e^{- x} - 2}{1 - \cos (2 x)}$
31573	Graph	f(x)=3cot(2(x-pi/2))+2	$f (x) = 3 \cot (2 (x - \frac{π}{2})) + 2$
31574	Solve the Inequality for x	x<2x-(-8x+6/5)	$x < 2 x - (- 8 x + \frac{6}{5})$
31575	Evaluate the Limit	limit as x approaches 4 of (f(x)-5)/(x-2)	$lim_{x \to 4} \frac{f (x) - 5}{x - 2}$
31576	Find dy/dx	y=tan(x)^2	$y = \tan^{2} (x)$
31577	Simplify	(m^2)/( cube root of m)	$\frac{m^{2}}{\sqrt[3]{m}}$
31578	Simplify	(x^2-1)/(x+2)*(2x+4)/(2-2x^2)	$\frac{x^{2} - 1}{x + 2} \cdot \frac{2 x + 4}{2 - 2 x^{2}}$
31579	Find the Product	-3(2x^4)(4x^5y)^2	$- 3 (2 x^{4}) {(4 x^{5} y)}^{2}$
31580	Subtract	5/(x^2)-3/(6x^2+12x)	$\frac{5}{x^{2}} - \frac{3}{6 x^{2} + 12 x}$
31581	Solve for a	61/28+a=19/4a-11/7	$\frac{61}{28} + a = \frac{19}{4} a - \frac{11}{7}$
31582	Find the Integral	(12x^2-4x)dx	$(12 x^{2} - 4 x) d x$
31583	Solve for d	dx+3x=12	$d x + 3 x = 12$
31584	Graph	-1>(12+x)/4	$- 1 > \frac{12 + x}{4}$
31585	Multiply	(y^2-2.4y+6)*1.5y	$(y^{2} - 2.4 y + 6) \cdot 1.5 y$
31586	Identify the Zeros and Their Multiplicities	f(x)=36x^4-12x^3+x^2	$f (x) = 36 x^{4} - 12 x^{3} + x^{2}$
31587	Write in y=mx+b Form	y=-3x	$y = - 3 x$
31588	Evaluate	-2(3)^3+3^2-3*3+4	$- 2 {(3)}^{3} + 3^{2} - 3 \cdot 3 + 4$
31589	Graph	f(x)=- cube root of 2x	$f (x) = - \sqrt[3]{2 x}$
31590	Solve using Gaussian Elimination	3x-3y-6z=3 2x-3y-5z=8 x+4y+2z=6	$3 x - 3 y - 6 z = 3$ $2 x - 3 y - 5 z = 8$ $x + 4 y + 2 z = 6$
31591	Simplify	-5/(4+ square root of 6)	$\frac{- 5}{4 + \sqrt{6}}$
31592	Evaluate	y^-8y^3x^0x^-2	$y^{- 8} y^{3} x^{0} x^{- 2}$
31593	Solve for p	-6(-3p-6)-20p=-2p+2	$- 6 (- 3 p - 6) - 20 p = - 2 p + 2$
31594	Solve the Inequality for a	a-6>=1	$a - 6 \geq 1$
31595	Graph	f(x)=3 cube root of -x-2+6	$f (x) = 3 \sqrt[3]{- x - 2} + 6$
31596	Find the Inflection Points	f(x)=-0.5*x^4+3x^2	$f (x) = - 0.5 \cdot x^{4} + 3 x^{2}$
31597	Solve for x	xe^x-1=0	$x e^{x} - 1 = 0$
31598	Add	(x^3-6x^2+3)+(3x^3+4x-1)	$(x^{3} - 6 x^{2} + 3) + (3 x^{3} + 4 x - 1)$
31599	Factor	5x^2y^3-180y	$5 x^{2} y^{3} - 180 y$
31600	Find Where Increasing/Decreasing	-3/4x^4-16x^3-90x^2+25	$- \frac{3}{4} x^{4} - 16 x^{3} - 90 x^{2} + 25$