Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199501	Simplify	(3 square root of 3)/( square root of 6m)	$\frac{3 \sqrt{3}}{\sqrt{6 m}}$
199502	Graph	y< = square root of 2x+4-3	$y \leq \sqrt{2 x + 4} - 3$
199503	Simplify the Radical Expression	fourth root of 6* fourth root of 8	$\sqrt[4]{6} \cdot \sqrt[4]{8}$
199504	Factor	a^3x^2-16a^3x+64a^3-b^3x^2+16b^3x-64b^3	$a^{3} x^{2} - 16 a^{3} x + 64 a^{3} - b^{3} x^{2} + 16 b^{3} x - 64 b^{3}$
199505	Solve for x	4x-2*(3x-2)=3x	$4 x - 2 \cdot (3 x - 2) = 3 x$
199506	Evaluate	(z^8*z^2)/(z^5)	$\frac{z^{8} \cdot z^{2}}{z^{5}}$
199507	Find the Axis of Symmetry	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
199508	Solve for x	square root of 4x^2-20x+25=5-2x	$\sqrt{4 x^{2} - 20 x + 25} = 5 - 2 x$
199509	Solve for x	x^3=3x^2	$x^{3} = 3 x^{2}$
199510	Simplify	8*(-1/2x^3y)^2-3y^5-x^6y^2	$8 \cdot {(- \frac{1}{2} x^{3} y)}^{2} - 3 y^{5} - x^{6} y^{2}$
199511	Find the Product	(2+(x-1))(2-(x-1))	$(2 + (x - 1)) (2 - (x - 1))$
199512	Simplify	( square root of 12)/( fourth root of 3)	$\frac{\sqrt{12}}{\sqrt[4]{3}}$
199513	Evaluate	1/4(4)^(3/2)	$\frac{1}{4} {(4)}^{\frac{3}{2}}$
199514	Factor	8x^5-25y^3+80x^4-x^2y^3+200x^3-10xy^3	$8 x^{5} - 25 y^{3} + 80 x^{4} - x^{2} y^{3} + 200 x^{3} - 10 x y^{3}$
199515	Solve for x	5(x-a)=3(x+b)	$5 (x - a) = 3 (x + b)$
199516	Evaluate	(1/(2r^6))^-6	${(\frac{1}{2 r^{6}})}^{- 6}$
199517	Simplify	((a+b)/b-a/(a+b))÷((a+b)/a-b/(a+b))	$(\frac{a + b}{b} - \frac{a}{a + b}) \div (\frac{a + b}{a} - \frac{b}{a + b})$
199518	Solve Using the Quadratic Formula	x^4+12x^2-8	$x^{4} + 12 x^{2} - 8$
199519	Solve for x	-7/9(x+3)=14	$- \frac{7}{9} (x + 3) = 14$
199520	Simplify the Radical Expression	(x^2y^8)^(2/3)	${(x^{2} y^{8})}^{\frac{2}{3}}$
199521	Simplify	(2 2/9a^(3m-2/3))^3*(0.45a^(m-5))^3	${(2 \frac{2}{9} a^{3 m - \frac{2}{3}})}^{3} \cdot {(0.45 a^{m - 5})}^{3}$
199522	Simplify the Radical Expression	1/(2+ square root of 5)	$\frac{1}{2 + \sqrt{5}}$
199523	Simplify	121÷11+(3*4)÷2	$121 \div 11 + 3 \cdot 4 \div 2$
199524	Simplify the Radical Expression	sixth root of (g^6h)/(h^7)	$\sqrt[6]{\frac{g^{6} h}{h^{7}}}$
199525	Solve for x	8- square root of x+12=3	$8 - \sqrt{x + 12} = 3$
199526	Solve for u	m/(u^2)+r=-k-y	$\frac{m}{u^{2}} + r = - k - y$
199527	Solve for x	(x-2 square root of 5)(x+5 square root of 2)=x^2-10 square root of 10	$(x - 2 \sqrt{5}) (x + 5 \sqrt{2}) = x^{2} - 10 \sqrt{10}$
199528	Solve for x	6x^3(2x+4)=2x(6x^3+12x^2-10)+60	$6 x^{3} (2 x + 4) = 2 x (6 x^{3} + 12 x^{2} - 10) + 60$
199529	Simplify	(7x^2+a^2)(x^2-3a^2)	$(7 x^{2} + a^{2}) (x^{2} - 3 a^{2})$
199530	Simplify	(a-(2a-1)/a)/((1-a)/(3a))	$\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}$
199531	Solve for f	3/5f=2 1/5	$\frac{3}{5} f = 2 \frac{1}{5}$
199532	Simplify the Radical Expression	(n^4)^(3/2)	${(n^{4})}^{\frac{3}{2}}$
199533	Factor	9x+ay+9y+ax	$9 x + a y + 9 y + a x$
199534	Solve for y	(2y+1)^2-4y^2=5	${(2 y + 1)}^{2} - 4 y^{2} = 5$
199535	Solve for z	1/3(z+4)-6=2/3(5-z)	$\frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z)$
199536	Simplify	(x^2)/((x-y)^2)-(x+y)/(2x-2y)	$\frac{x^{2}}{{(x - y)}^{2}} - \frac{x + y}{2 x - 2 y}$
199537	Solve for x	x^7+x^4+x^3+1=0	$x^{7} + x^{4} + x^{3} + 1 = 0$
199538	Solve the Inequality for x	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
199539	Simplify	(x-y)/(2x)+(5-y)/(3-x)	$\frac{x - y}{2 x} + \frac{5 - y}{3 - x}$
199540	Simplify	((-2xy^2)^3)^2	${({(- 2 x y^{2})}^{3})}^{2}$
199541	Simplify	6m-2n+6n-2+n^2	$6 m - 2 n + 6 n - 2 + n^{2}$
199542	Write in Standard Form	f(x)=2x+x^3+3x^5+4	$f (x) = 2 x + x^{3} + 3 x^{5} + 4$
199543	Solve for x	(a(1+ square root of x))/(x-1)=b	$\frac{a (1 + \sqrt{x})}{x - 1} = b$
199544	Simplify	(4x)/(9x^(1/2))	$\frac{4 x}{9 x^{\frac{1}{2}}}$
199545	Simplify	(8c^3d^2f^4)/(4c^-1d^2f^-3)	$\frac{8 c^{3} d^{2} f^{4}}{4 c^{- 1} d^{2} f^{- 3}}$
199546	Factor	g(x)=4x^3-8x^2-25x+50	$g (x) = 4 x^{3} - 8 x^{2} - 25 x + 50$
199547	Solve for x	5+x^2=(x+1)(x+6)	$5 + x^{2} = (x + 1) (x + 6)$
199548	Find the Product	((x+2)-(y+1))((x+2)+(y+1))	$((x + 2) - (y + 1)) ((x + 2) + (y + 1))$
199549	Simplify	(2x^2-2y^2)/(x^2+2xy+y^2)	$\frac{2 x^{2} - 2 y^{2}}{x^{2} + 2 x y + y^{2}}$
199550	Simplify	((a+b)^2)^2	${({(a + b)}^{2})}^{2}$
199551	Solve for x	log base 5 of 2x+1 = log base 5 of 4x-7	$\log_{5} (2 x) + 1 = \log_{5} (4 x) - 7$
199552	Factor	9(p-1)+(p-1)^2	$9 (p - 1) + {(p - 1)}^{2}$
199553	Simplify	8+5y^2-42xy-2-3y	$8 + 5 y^{2} - 42 x y - 2 - 3 y$
199554	Simplify	( square root of 2)/(i square root of 2)	$\frac{\sqrt{2}}{i \sqrt{2}}$
199555	Simplify	((3x^2y^-3)/(2x^-3y^2))^3	${(\frac{3 x^{2} y^{- 3}}{2 x^{- 3} y^{2}})}^{3}$
199556	Multiply	square root of 14xy* square root of 12* square root of 30y	$\sqrt{14 x y} \cdot \sqrt{12} \cdot \sqrt{30 y}$
199557	Find the Product	(x+(y-2))^3	${(x + (y - 2))}^{3}$
199558	Simplify	(x-y)-(x-1)(x-2)	$(x - y) - (x - 1) (x - 2)$
199559	Solve for x	8- fourth root of x=7	$8 - \sqrt[4]{x} = 7$
199560	Simplify	fourth root of 81+ fourth root of 32- fourth root of 2	$\sqrt[4]{81} + \sqrt[4]{32} - \sqrt[4]{2}$
199561	Solve the Inequality for x	2x+6y<=10	$2 x + 6 y \leq 10$
199562	Simplify	xy^-1z^-2	$x y^{- 1} z^{- 2}$
199563	Simplify	((2a-b)^2)÷((4a^3-ab^2)/3)	${(2 a - b)}^{2} \div \frac{4 a^{3} - a b^{2}}{3}$
199564	Simplify	12x-4+6y-2+3x-y+3	$12 x - 4 + 6 y - 2 + 3 x - y + 3$
199565	Simplify	a/(a-6)-3/(a+6)+(a^2)/(36-a^2)	$\frac{a}{a - 6} - \frac{3}{a + 6} + \frac{a^{2}}{36 - a^{2}}$
199566	Factor	-x^3+y^3	$- x^{3} + y^{3}$
199567	Simplify	a+b-(a^2+b^2)/(a+b)	$a + b - \frac{a^{2} + b^{2}}{a + b}$
199568	Simplify	(1/4ad^3)^2	${(\frac{1}{4} a d^{3})}^{2}$
199569	Simplify	(x+3)/(2x^2+1)-5/(1-2x)	$\frac{x + 3}{2 x^{2} + 1} - \frac{5}{1 - 2 x}$
199570	Divide	(4x^3)÷(2x)	$(4 x^{3}) \div (2 x)$
199571	Evaluate	(6/n)^-2	${(\frac{6}{n})}^{- 2}$
199572	Solve for y	(d^2)y=0	$(d^{2}) y = 0$
199573	Solve for C	F=1.8C+32	$F = 1.8 C + 32$
199574	Solve for x	\|2x-1\|>\|3x+5\|	$\| 2 x - 1 \| > \| 3 x + 5 \|$
199575	Simplify	cot(theta)sin(theta)tan(theta)	$\cot (θ) \cdot \sin (θ) \cdot \tan (θ)$
199576	Factor	3a+b-6a^2-2ab	$3 a + b - 6 a^{2} - 2 a b$
199577	Simplify	a/(a-b)+(3a)/(a+b)-(2ab)/(a^2-b^2)	$\frac{a}{a - b} + \frac{3 a}{a + b} - \frac{2 a b}{a^{2} - b^{2}}$
199578	Solve for d	(3d)/8=6r+1	$\frac{3 d}{8} = 6 r + 1$
199579	Solve the Inequality for x	square root of 10-x^2+6<\|10-x^2\|	$\sqrt{10 - x^{2}} + 6 < \| 10 - x^{2} \|$
199580	Solve for B	Ax+By=C	$A x + B y = C$
199581	Simplify	2x-5y+2-y+6x-3	$2 x - 5 y + 2 - y + 6 x - 3$
199582	Solve for y	square root of 2x+y-3z=5	$\sqrt{2 x + y - 3 z} = 5$
199583	Simplify	(2y^2+7y+3)/(y^3-1)-(1-2y)/(y^2+y+1)-3/(y-1)	$\frac{2 y^{2} + 7 y + 3}{y^{3} - 1} - \frac{1 - 2 y}{y^{2} + y + 1} - \frac{3}{y - 1}$
199584	Simplify the Radical Expression	5 square root of 12-19 square root of 3	$5 \sqrt{12} - 19 \sqrt{3}$
199585	Simplify	(i square root of 2-5)/(i+ square root of 2)	$\frac{i \sqrt{2} - 5}{i + \sqrt{2}}$
199586	Simplify	1/2xy^2+3x-5/2xy^2+3/7x^2-4x	$\frac{1}{2} x y^{2} + 3 x - \frac{5}{2} x y^{2} + \frac{3}{7} x^{2} - 4 x$
199587	Simplify	(2/3p)^2	${(\frac{2}{3} p)}^{2}$
199588	Simplify	(6((7x+5)/(3x-6))+5)/(3((7x+5)/(3x-6))-7)	$\frac{6 (\frac{7 x + 5}{3 x - 6}) + 5}{3 (\frac{7 x + 5}{3 x - 6}) - 7}$
199589	Solve for m	m+(5x^2-2xy)=6x^2+9xy-y^2	$m + (5 x^{2} - 2 x y) = 6 x^{2} + 9 x y - y^{2}$
199590	Simplify	1/(2- fourth root of 9)	$\frac{1}{2 - \sqrt[4]{9}}$
199591	Simplify	( square root of 125+ square root of 20- square root of 45)/( square root of 10)*( square root of 2)/3	$\frac{\sqrt{125} + \sqrt{20} - \sqrt{45}}{\sqrt{10}} \cdot \frac{\sqrt{2}}{3}$
199592	Simplify	(x-2)/(x^2+2x+4)-(6x)/(x^3-8)+1/(x-2)	$\frac{x - 2}{x^{2} + 2 x + 4} - \frac{6 x}{x^{3} - 8} + \frac{1}{x - 2}$
199593	Solve the Inequality for y	(y-1)/2-(2y+3)/8-y>2	$\frac{y - 1}{2} - \frac{2 y + 3}{8} - y > 2$
199594	Simplify	(3b+2c)/(9b^2c)-(2c-5b)/(6bc^2)	$\frac{3 b + 2 c}{9 b^{2} c} - \frac{2 c - 5 b}{6 b c^{2}}$
199595	Evaluate	square root of 0.32*(2 square root of 800-3 square root of 1800)	$\sqrt{0.32} \cdot (2 \sqrt{800} - 3 \sqrt{1800})$
199596	Simplify	(5y+3)/(2y+2)-(7y+4)/(3y+3)	$\frac{5 y + 3}{2 y + 2} - \frac{7 y + 4}{3 y + 3}$
199597	Simplify the Radical Expression	square root of 20+ square root of 45- square root of 5	$\sqrt{20} + \sqrt{45} - \sqrt{5}$
199598	Simplify the Radical Expression	square root of 2+ square root of 12	$\sqrt{2} + \sqrt{12}$
199599	Rationalize the Denominator	(2x)/( square root of 2)	$\frac{2 x}{\sqrt{2}}$
199600	Simplify	(m^2-n)(m^2+2n^2)	$(m^{2} - n) (m^{2} + 2 n^{2})$