Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212501	Solve for y	y^4-7y^2=-10	$y^{4} - 7 y^{2} = - 10$
212502	Multiply	(3x+12)/(4x-16)*(8-2x)/(x+4)	$\frac{3 x + 12}{4 x - 16} \cdot \frac{8 - 2 x}{x + 4}$
212503	Simplify	((x^2+6x+5)/(x^2+8x+15)*(x^3-3x^2-10x)/(x^2+3x+2))÷((x^2-4x-5)/(x^2+4x+3))	$\frac{x^{2} + 6 x + 5}{x^{2} + 8 x + 15} \cdot \frac{x^{3} - 3 x^{2} - 10 x}{x^{2} + 3 x + 2} \div \frac{x^{2} - 4 x - 5}{x^{2} + 4 x + 3}$
212504	Evaluate	((5pi)/6)	$(\frac{5 π}{6})$
212505	Graph	y=x+x^3	$y = x + x^{3}$
212506	Find the Complex Conjugate	1/6-5/6i	$\frac{1}{6} - \frac{5}{6} i$
212507	Solve for u	u^2=0	$u^{2} = 0$
212508	Simplify the Radical Expression	3 square root of xy- square root of 9xy	$3 \sqrt{x y} - \sqrt{9 x y}$
212509	Solve the Inequality for x	-16<x/-4+6<=-2	$- 16 < \frac{x}{- 4} + 6 \leq - 2$
212510	Find the Product	3ab(4a^2-7b^3)	$3 a b (4 a^{2} - 7 b^{3})$
212511	Solve for x	(2x+1)/3+(4-x)/6=3	$\frac{2 x + 1}{3} + \frac{4 - x}{6} = 3$
212512	Simplify	-2/(1+ square root of 6)	$\frac{- 2}{1 + \sqrt{6}}$
212513	Write Using Positive Exponents	(16x^4y^-3z^4)/(36x^-2yz^0)	$\frac{16 x^{4} y^{- 3} z^{4}}{36 x^{- 2} y z^{0}}$
212514	Find the LCM	2 and 7	$2$ and $7$
212515	Graph	Graph the line with the equation y=2x-2	Graph the line with the equation $y = 2 x - 2$
212516	Solve for x	(x+4)/x-5/(6x)=7/6	$\frac{x + 4}{x} - \frac{5}{6 x} = \frac{7}{6}$
212517	Simplify	6+1.5(5x^(3/5)y^(2/3))^0	$6 + 1.5 {(5 x^{\frac{3}{5}} y^{\frac{2}{3}})}^{0}$
212518	Solve for u	6/9=u/12	$\frac{6}{9} = \frac{u}{12}$
212519	Solve the Inequality for x	(4\|x+7\|)/3<8	$\frac{4 \| x + 7 \|}{3} < 8$
212520	Find the x and y Intercepts	(2x^2-98)/(x+4)	$\frac{2 x^{2} - 98}{x + 4}$
212521	Multiply	(4x^3)/3*(9/x)^3	$\frac{4 x^{3}}{3} \cdot {(\frac{9}{x})}^{3}$
212522	Solve for y	(8+2y)/3=x	$\frac{8 + 2 y}{3} = x$
212523	Simplify	-3x^4y^4z^0	$- 3 x^{4} y^{4} z^{0}$
212524	Solve the Inequality for g	4>=-g/8	$4 \geq - \frac{g}{8}$
212525	Solve for x	2/k-3/(x+k)=0	$\frac{2}{k} - \frac{3}{x + k} = 0$
212526	Simplify	10(3/10x-2/5)	$10 (\frac{3}{10} x - \frac{2}{5})$
212527	Simplify	( square root of z^9)/( fourth root of z^3)	$\frac{\sqrt{z^{9}}}{\sqrt[4]{z^{3}}}$
212528	Find the Exact Value	(f(-5))/(f(2))	$\frac{f (- 5)}{f (2)}$
212529	Evaluate	42/12+5*18^(-1/2)-2	$\frac{42}{12} + 5 \cdot 18^{- \frac{1}{2}} - 2$
212530	Solve for x	9/(x-1)=3+11/(x-1)	$\frac{9}{x - 1} = 3 + \frac{11}{x - 1}$
212531	Write in Standard Form	y=-2(2x+1)(x-3)+5	$y = - 2 (2 x + 1) (x - 3) + 5$
212532	Find the Inverse	y=e^(6-x)	$y = e^{6 - x}$
212533	Solve the Inequality for x	-3x^2+25x-54>-8x	$- 3 x^{2} + 25 x - 54 > - 8 x$
212534	Find the Domain and Range	xy^2-x+3y^2+1=0	$x y^{2} - x + 3 y^{2} + 1 = 0$
212535	Evaluate	(1/27)^(4-x)=9^(2x-1)	${(\frac{1}{27})}^{4 - x} = 9^{2 x - 1}$
212536	Subtract	(10a^4-a)-(a^4+2a-2)	$(10 a^{4} - a) - (a^{4} + 2 a - 2)$
212537	Solve for x	14^(3-8x)+9=77	$14^{3 - 8 x} + 9 = 77$
212538	Simplify	i*3i	$i \cdot 3 i$
212539	Simplify	(8/9xy^4)^2	${(\frac{8}{9} x y^{4})}^{2}$
212540	Simplify	( cube root of 4^5)( cube root of 5^5)	$(\sqrt[3]{4^{5}}) (\sqrt[3]{5^{5}})$
212541	Solve the Inequality for a	3a+1>(-7a-14)/-4	$3 a + 1 > \frac{- 7 a - 14}{- 4}$
212542	Write the Fraction in Simplest Form	(-4p^-5)/(-2(p^5)^5)	$\frac{- 4 p^{- 5}}{- 2 {(p^{5})}^{5}}$
212543	Find the LCM	9x^2+30x+25 and 9x^2-25	$9 x^{2} + 30 x + 25$ and $9 x^{2} - 25$
212544	Simplify	(4x^4y)^2-11x^8y^2	${(4 x^{4} y)}^{2} - 11 x^{8} y^{2}$
212545	Solve for x	\|2x-6\|-4>=6	$\| 2 x - 6 \| - 4 \geq 6$
212546	Solve the Inequality for θ	cos(theta)<0	$\cos (θ) < 0$
212547	Solve for x	2(x+3)<0	$2 (x + 3) < 0$
212548	Simplify	-3xy(4x^2y^4-2xy^3)	$- 3 x y (4 x^{2} y^{4} - 2 x y^{3})$
212549	Find the Exact Value	27(-2/3)	$27 (\frac{- 2}{3})$
212550	Identify the Zeros and Their Multiplicities	h(t)=3(t-5)^3(t-3)^3(t-2)	$h (t) = 3 {(t - 5)}^{3} {(t - 3)}^{3} (t - 2)$
212551	Simplify the Radical Expression	fourth root of (x^4)/81	$\sqrt[4]{\frac{x^{4}}{81}}$
212552	Solve for x	square root of 3+ square root of x=3	$\sqrt{3 + \sqrt{x}} = 3$
212553	Find the Domain and Range	y=5+ cube root of x-1	$y = 5 + \sqrt[3]{x - 1}$
212554	Write the Fraction in Simplest Form	5/10+8/100	$\frac{5}{10} + \frac{8}{100}$
212555	Divide Using Long Polynomial Division	(-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)	$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$
212556	Solve for x	1/3(1/2x-9)=1/2(x+18)	$\frac{1}{3} (\frac{1}{2} x - 9) = \frac{1}{2} (x + 18)$
212557	Solve for v	59.8=1/20v^2+v	$59.8 = \frac{1}{20} v^{2} + v$
212558	Find the x and y Intercepts	f(x)=-2/(3(x-5))+4	$f (x) = - \frac{2}{3 (x - 5)} + 4$
212559	Solve the Inequality for s	-3s>=33	$- 3 s \geq 33$
212560	Simplify	( square root of c^9)/( fourth root of c)	$\frac{\sqrt{c^{9}}}{\sqrt[4]{c}}$
212561	Solve for x	square root of x*(x+2)+4=2	$\sqrt{x \cdot (x + 2) + 4} = 2$
212562	Solve the Inequality for x	-x/24<-1/6	$- \frac{x}{24} < - \frac{1}{6}$
212563	Subtract	(2x^2y-5xy+3y^2)-(7xy-6y^2+5x^2y)	$(2 x^{2} y - 5 x y + 3 y^{2}) - (7 x y - 6 y^{2} + 5 x^{2} y)$
212564	Simplify	(7x^4+4-x+3x^3)+(5x^3+3x-9)	$(7 x^{4} + 4 - x + 3 x^{3}) + (5 x^{3} + 3 x - 9)$
212565	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-5x-10+3x^4+4x^2	$f (x) = - 5 x - 10 + 3 x^{4} + 4 x^{2}$
212566	Solve for n	5^2*5^4=5^n	$5^{2} \cdot 5^{4} = 5^{n}$
212567	Write the Fraction in Simplest Form	(-5d^-3)/(-4(d^-5)^3)	$\frac{- 5 d^{- 3}}{- 4 {(d^{- 5})}^{3}}$
212568	Simplify the Radical Expression	(-27x^-9)^(1/3)	${(- 27 x^{- 9})}^{\frac{1}{3}}$
212569	Factor	ax+ay+bx+by-cx-cy	$a x + a y + b x + b y - c x - c y$
212570	Solve for x	4/3=-6x-5/3	$\frac{4}{3} = - 6 x - \frac{5}{3}$
212571	Find the End Behavior	2x^4+8x^3+10x^2+40x	$2 x^{4} + 8 x^{3} + 10 x^{2} + 40 x$
212572	Solve Using the Square Root Property	5(x^2-5)+8=3	$5 (x^{2} - 5) + 8 = 3$
212573	Find All Complex Solutions	4n^2+24n+25=4n	$4 n^{2} + 24 n + 25 = 4 n$
212574	Solve for x	4/3x-1=2/3x+6	$\frac{4}{3} x - 1 = \frac{2}{3} x + 6$
212575	Solve the System of Equations	8x+3y+z=-2 3x-5y=20 12x+30y=-120	$8 x + 3 y + z = - 2$ $3 x - 5 y = 20$ $12 x + 30 y = - 120$
212576	Write in Exponential Form	( fifth root of mn)^2	${(\sqrt[5]{m n})}^{2}$
212577	Solve for x	x^(1/2)-(x-5)^(1/2)=2	$x^{\frac{1}{2}} - {(x - 5)}^{\frac{1}{2}} = 2$
212578	Solve for x	(81^(3x+2))/(243^(-x))=3^4	$\frac{81^{3 x + 2}}{243^{- x}} = 3^{4}$
212579	Evaluate	-3x+8<15	$- 3 x + 8 < 15$
212580	Simplify	2i^4+i^2	$2 i^{4} + i^{2}$
212581	Simplify	52+(-x/3)+(-40)	$52 + (- \frac{x}{3}) + (- 40)$
212582	Solve for x	3-9/4=(2x+9)/(4x)	$3 - \frac{9}{4} = \frac{2 x + 9}{4 x}$
212583	Simplify	4a+b+10a-10b	$4 a + b + 10 a - 10 b$
212584	Simplify	(2a)/( square root of 36a^7)	$\frac{2 a}{\sqrt{36 a^{7}}}$
212585	Graph	y<=-2 y<=x-3	$y \leq - 2$ $y \leq x - 3$
212586	Evaluate	10÷( square root of 2)	$10 \div \sqrt{2}$
212587	Simplify	((x^2-7x+12)/(x^2+x-12)*(-4x)/(-x-2))÷((x-4)/(x+4))	$\frac{x^{2} - 7 x + 12}{x^{2} + x - 12} \cdot \frac{- 4 x}{- x - 2} \div \frac{x - 4}{x + 4}$
212588	Solve for a	-5+7a^3=-194	$- 5 + 7 a^{3} = - 194$
212589	Multiply	(4 square root of 2-1)^2	${(4 \sqrt{2} - 1)}^{2}$
212590	Simplify	(5x^4-4x^3-3x-4)-(2x-6x^3-2x^4)	$(5 x^{4} - 4 x^{3} - 3 x - 4) - (2 x - 6 x^{3} - 2 x^{4})$
212591	Solve the System of Equations	10x+4y-2z=-15 -8y+9z=70 3y-2z=-18	$10 x + 4 y - 2 z = - 15$ $- 8 y + 9 z = 70$ $3 y - 2 z = - 18$
212592	Determine if (7,2) is a Solution	2x-y>10 , (7,2)	$2 x - y > 10$ , $(7, 2)$
212593	Simplify	a^2-b^2+a^2+ab+3b^2	$a^{2} - b^{2} + a^{2} + a b + 3 b^{2}$
212594	Write in Standard Form	z(5z-3)-2z	$z (5 z - 3) - 2 z$
212595	Solve for n	-e^(-3.9n-1)-1=-3	$- e^{- 3.9 n - 1} - 1 = - 3$
212596	Simplify	((x^2+6x+8)/(x+4))÷((x^2-4)/(4x-8))	$\frac{x^{2} + 6 x + 8}{x + 4} \div \frac{x^{2} - 4}{4 x - 8}$
212597	Graph	x^2+x-10>10	$x^{2} + x - 10 > 10$
212598	Find the Exact Value	square root of 6*(2 square root of 3- square root of 2+ square root of 12)	$\sqrt{6} \cdot (2 \sqrt{3} - \sqrt{2} + \sqrt{12})$
212599	Simplify the Radical Expression	cube root of x^5y^6z^10	$\sqrt[3]{x^{5} y^{6} z^{10}}$
212600	Simplify	(2x^2-4x+1)+(5x+x^2-1)	$(2 x^{2} - 4 x + 1) + (5 x + x^{2} - 1)$