Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
238501	Rationalize the Denominator	-4/(-1- square root of 17)	$\frac{- 4}{- 1 - \sqrt{17}}$
238502	Evaluate	1 3/4-2+(-4 3/4)	$1 \frac{3}{4} - 2 + (- 4 \frac{3}{4})$
238503	Write in Standard Form	3x+9=7/2y	$3 x + 9 = \frac{7}{2} y$
238504	Graph	g(x)=1/4(-x)^(1/2)	$g (x) = \frac{1}{4} {(- x)}^{\frac{1}{2}}$
238505	Find the Domain and Range	y=x(5-x)	$y = x (5 - x)$
238506	Simplify	Simplify (-4r^5)(2r^8)	Simplify $(- 4 r^{5}) (2 r^{8})$
238507	Subtract	1/3-5/3	$\frac{1}{3} - \frac{5}{3}$
238508	Solve for b	6^2+b^2=(3 square root of 5)^2	$6^{2} + b^{2} = {(3 \sqrt{5})}^{2}$
238509	Evaluate	3^(2+4^2)	$3^{2 + 4^{2}}$
238510	Simplify	(9x+18)/(x^2-2x-8)*(3x-12)/(6x)	$\frac{9 x + 18}{x^{2} - 2 x - 8} \cdot \frac{3 x - 12}{6 x}$
238511	Evaluate	4 2/5÷(7/10+2 3/5)	$4 \frac{2}{5} \div (\frac{7}{10} + 2 \frac{3}{5})$
238512	Combine Like Terms	3x+4x+5y+6y+7+8	$3 x + 4 x + 5 y + 6 y + 7 + 8$
238513	Solve for r	a=(pir^2)/h	$a = \frac{π r^{2}}{h}$
238514	Find the Distance Between Two Points	(-5,8) and (-3,1)	$(- 5, 8)$ and $(- 3, 1)$
238515	Solve for x	1- square root of 4x+3=-5	$1 - \sqrt{4 x + 3} = - 5$
238516	Multiply	(x^2-36)/(x^2-5x-6)*(3x+3)/(9x^2)	$\frac{x^{2} - 36}{x^{2} - 5 x - 6} \cdot \frac{3 x + 3}{9 x^{2}}$
238517	Find the GCF	21cd-3d	$21 c d - 3 d$
238518	Simplify	1+cot(-theta)^2	$1 + \cot^{2} (- θ)$
238519	Simplify the Radical Expression	square root of 32h+4 square root of 98h-3 square root of 50h	$\sqrt{32 h} + 4 \sqrt{98 h} - 3 \sqrt{50 h}$
238520	Evaluate	natural log of e/( square root of e^5)	$\ln (\frac{e}{\sqrt{e^{5}}})$
238521	Solve for x	-19x^3-12x^2+16x=0	$- 19 x^{3} - 12 x^{2} + 16 x = 0$
238522	Simplify	(a^3)/( square root of 15a^5)	$\frac{a^{3}}{\sqrt{15 a^{5}}}$
238523	Find the Degree	f(x)=-x^3-11x^2-28x	$f (x) = - x^{3} - 11 x^{2} - 28 x$
238524	Simplify the Radical Expression	i^4	$i^{4}$
238525	Simplify	4x^4y^4*x^4	$4 x^{4} y^{4} \cdot x^{4}$
238526	Solve for x	(7x)/6-3=(5x)/4	$\frac{7 x}{6} - 3 = \frac{5 x}{4}$
238527	Simplify the Radical Expression	(18w^(1/3)v^(5/4))/(27w^(4/3)v^(1/2))	$\frac{18 w^{\frac{1}{3}} v^{\frac{5}{4}}}{27 w^{\frac{4}{3}} v^{\frac{1}{2}}}$
238528	Graph	y>=x^2-4 y<=-2x^2+7x+4	$y \geq x^{2} - 4$ $y \leq - 2 x^{2} + 7 x + 4$
238529	Factor	9x^8-72x^4+144	$9 x^{8} - 72 x^{4} + 144$
238530	Convert to a Decimal	sin(72)deg	$\sin (72)$ degrees
238531	Find the x and y Intercepts	y = log base 2 of 2x+3	$y = \log_{2} (2 x + 3)$
238532	Convert to a Decimal	350deg	$350$ degrees
238533	Solve for y	7y-4+3y+6=9y+8	$7 y - 4 + 3 y + 6 = 9 y + 8$
238534	Solve for x	\|x-2\|+5<4	$\| x - 2 \| + 5 < 4$
238535	Divide	((5x^2-3x-14)/(3x^2+5x-2))÷((4x-8)/(3x-1))	$\frac{5 x^{2} - 3 x - 14}{3 x^{2} + 5 x - 2} \div \frac{4 x - 8}{3 x - 1}$
238536	Write in Slope-Intercept Form	4x+y>3	$4 x + y > 3$
238537	Evaluate	1/e-e	$\frac{1}{e} - e$
238538	Convert to a Percentage	27 is what percent of 60	$27$ is what percent of $60$
238539	Solve the System of Equations	x-4y=-8 -x+4y-8=0	$x - 4 y = - 8$ $- x + 4 y - 8 = 0$
238540	Solve the System of Equations	(x-5)^2+(y-3)^2=90 x+y=2	${(x - 5)}^{2} + {(y - 3)}^{2} = 90$ $x + y = 2$
238541	Find the Parabola with Focus (-3,-5) and Directrix x=-7	(-3,-5) x=-7	$(- 3, - 5)$ $x = - 7$
238542	Find the Parabola with Focus (0,5) and Directrix y=-5	(0,5) , y=-5	$(0, 5)$ , $y = - 5$
238543	Evaluate	log of (1/9)/k	$\log (\frac{\frac{1}{9}}{k})$
238544	Find the Equation Using Point-Slope Formula	(-2,3) and slope m=9	$(- 2, 3)$ and slope $m = 9$
238545	Simplify	(24m^3n)*(1/4n)	$(24 m^{3} n) \cdot (\frac{1}{4} n)$
238546	Solve for x	f(x)=1/2x-3	$f (x) = \frac{1}{2} x - 3$
238547	Simplify	square root of x^7y^7*4 square root of 2x^11y^2	$\sqrt{x^{7} y^{7}} \cdot 4 \sqrt{2 x^{11} y^{2}}$
238548	Simplify	((3x^-2y)^3)/(9x^5)	$\frac{{(3 x^{- 2} y)}^{3}}{9 x^{5}}$
238549	Factor	(x^2-9)/(x^2+5x+6)	$\frac{x^{2} - 9}{x^{2} + 5 x + 6}$
238550	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5x-x^3+3x^5-2	$f (x) = 5 x - x^{3} + 3 x^{5} - 2$
238551	Solve for x	22=5x-4(x+7)	$22 = 5 x - 4 (x + 7)$
238552	Simplify	(x+4)/5+(x+5)/5	$\frac{x + 4}{5} + \frac{x + 5}{5}$
238553	Solve the Rational Equation for x	1/(x-1)-1=x/(x-1)	$\frac{1}{x - 1} - 1 = \frac{x}{x - 1}$
238554	Find All Complex Solutions	cos(theta)^2=1/2	$\cos^{2} (θ) = \frac{1}{2}$
238555	Find the Roots (Zeros)	16x^2=-72x-83	$16 x^{2} = - 72 x - 83$
238556	Divide Using Long Polynomial Division	2x^3+7x^2+9x+10 divided by 2x+5	$2 x^{3} + 7 x^{2} + 9 x + 10$ divided by $2 x + 5$
238557	Evaluate	(10(-1)^2+12(-1)+5)/((5(-1)+3)^2)	$\frac{10 {(- 1)}^{2} + 12 (- 1) + 5}{{(5 (- 1) + 3)}^{2}}$
238558	Find the Remainder	(2x^6+x^2+2)/(x+2)	$\frac{2 x^{6} + x^{2} + 2}{x + 2}$
238559	Simplify the Radical Expression	(x^4y^2)/( fourth root of x^3y^2)	$\frac{x^{4} y^{2}}{\sqrt[4]{x^{3} y^{2}}}$
238560	Solve the Inequality for x	x+4<5/x	$x + 4 < \frac{5}{x}$
238561	Simplify the Radical Expression	square root of -7* square root of -7	$\sqrt{- 7} \cdot \sqrt{- 7}$
238562	Evaluate	40% of 85	$40 %$ of $85$
238563	Simplify	sin(x)*(tan(x)+cot(x))	$\sin (x) \cdot (\tan (x) + \cot (x))$
238564	Solve the System of Equations	y=3x^2-7x+1 y=-4x+19	$y = 3 x^{2} - 7 x + 1$ $y = - 4 x + 19$
238565	Simplify	(5x^2+14x-3)/(3x-15x^2)	$\frac{5 x^{2} + 14 x - 3}{3 x - 15 x^{2}}$
238566	Simplify	4*( square root of 2)/2	$4 \cdot \frac{\sqrt{2}}{2}$
238567	Reduce	square root of 108	$\sqrt{108}$
238568	Solve for b	2b-25+5b=7-32	$2 b - 25 + 5 b = 7 - 32$
238569	Simplify	(3x^2y-2xy)(3x^2y+2xy)	$(3 x^{2} y - 2 x y) (3 x^{2} y + 2 x y)$
238570	Solve for u	9=-3/u	$9 = - \frac{3}{u}$
238571	Subtract	-3x^2-4x+3 and 2x^2-x+3	$- 3 x^{2} - 4 x + 3$ and $2 x^{2} - x + 3$
238572	Simplify	((x-1)/(2x-7))/(-1/10)	$\frac{\frac{x - 1}{2 x - 7}}{- \frac{1}{10}}$
238573	Solve the Inequality for x	-2<x<2	$- 2 < x < 2$
238574	Simplify	9 square root of 7+ square root of 6-3 square root of 7+5 square root of 6	$9 \sqrt{7} + \sqrt{6} - 3 \sqrt{7} + 5 \sqrt{6}$
238575	Evaluate	tan((-5pi)/4)	$\tan (\frac{- 5 π}{4})$
238576	Evaluate the Function	f(x+3)=f(x)	$f (x + 3) = f (x)$
238577	Find the Remainder	(-19x^2+3+7x+15x^4)÷(-5x^2+3)	$(- 19 x^{2} + 3 + 7 x + 15 x^{4}) \div (- 5 x^{2} + 3)$
238578	Solve for x	-\|3+3x\|-2>-11	$- \| 3 + 3 x \| - 2 > - 11$
238579	Simplify	(3m)/(m-6)*(5m^3-30m^2)/(5m^2)	$\frac{3 m}{m - 6} \cdot \frac{5 m^{3} - 30 m^{2}}{5 m^{2}}$
238580	Solve in Terms of the Arbitrary Variable a	y=4x-5 and y=ax+2	$y = 4 x - 5$ and $y = a x + 2$
238581	Solve for x	4(3x-3)^(2/3)=36	$4 {(3 x - 3)}^{\frac{2}{3}} = 36$
238582	Simplify the Radical Expression	(3+ square root of 8)/(2-2 square root of 8)	$\frac{3 + \sqrt{8}}{2 - 2 \sqrt{8}}$
238583	Simplify the Radical Expression	square root of -9+ square root of -25- square root of -5	$\sqrt{- 9} + \sqrt{- 25} - \sqrt{- 5}$
238584	Simplify	(9x-x^2)(3+ square root of x)	$(9 x - x^{2}) (3 + \sqrt{x})$
238585	Solve for v	10^-410^9=10^(v+4)10^(2v-11)	$10^{- 4} \cdot 10^{9} = 10^{v + 4} \cdot 10^{2 v - 11}$
238586	Find the LCM	b+8 , 7b-3	$b + 8$ , $7 b - 3$
238587	Evaluate	x/5+4x+3(x-5)	$\frac{x}{5} + 4 x + 3 (x - 5)$
238588	Graph	-1/3x+5<3	$- \frac{1}{3} x + 5 < 3$
238589	Evaluate	n^(1/2)+6n^(1/4)-16=0	$n^{\frac{1}{2}} + 6 n^{\frac{1}{4}} - 16 = 0$
238590	Solve the Rational Equation for y	square root of 4y=10	$\sqrt{4 y} = 10$
238591	Evaluate	\|i\|	$\| i \|$
238592	Solve the System of Equations	x-2y=6 y=2x	$x - 2 y = 6$ $y = 2 x$
238593	Simplify	3/4*12/27	$\frac{3}{4} \cdot \frac{12}{27}$
238594	Simplify	fourth root of square root of z^5	$\sqrt[4]{\sqrt{z^{5}}}$
238595	Simplify	(2t^3)/( square root of 4t^5)	$\frac{2 t^{3}}{\sqrt{4 t^{5}}}$
238596	Solve for t	-3t+9>=-21	$- 3 t + 9 \geq - 21$
238597	Simplify the Radical Expression	eighth root of 49a^8b^2	$\sqrt[8]{49 a^{8} b^{2}}$
238598	Find the Quotient	(-19x^2+3+7x+15x^4)÷(-5x^2+3)	$(- 19 x^{2} + 3 + 7 x + 15 x^{4}) \div (- 5 x^{2} + 3)$
238599	Simplify	(3^2*3^-4)^4	${(3^{2} \times 3^{- 4})}^{4}$
238600	Solve for m	c=3m+2	$c = 3 m + 2$