Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200401	Solve for c	-2c=6-3c	$- 2 c = 6 - 3 c$
200402	Evaluate	(-5^0)/(2^-2)	$\frac{- 5^{0}}{2^{- 2}}$
200403	Solve for w	-3w-4=w+3	$- 3 w - 4 = w + 3$
200404	Simplify	((16y^5)/(4y^3))^(1/2)	${(\frac{16 y^{5}}{4 y^{3}})}^{\frac{1}{2}}$
200405	Simplify	- cube root of 2x^2y^2*2 cube root of 15x^5y	$- \sqrt[3]{2 x^{2} y^{2}} \cdot 2 \sqrt[3]{15 x^{5} y}$
200406	Simplify	(2gh^4)^3((-2g^4h)^3)^2	${(2 g h^{4})}^{3} {({(- 2 g^{4} h)}^{3})}^{2}$
200407	Solve for b	b/(5h)=f+g	$\frac{b}{5 h} = f + g$
200408	Simplify	( cube root of 24^4)/24	$\frac{\sqrt[3]{24^{4}}}{24}$
200409	Convert to Radical Form	(s/(r^2))^(-3/4)	${(\frac{s}{r^{2}})}^{- \frac{3}{4}}$
200410	Simplify	(2/(3r^2t^3z^6))^2	${(\frac{2}{3 r^{2} t^{3} z^{6}})}^{2}$
200411	Simplify	square root of (18X^3)/(49xy^2)	$\sqrt{\frac{18 X^{3}}{49 x y^{2}}}$
200412	Simplify	(r^4)/((3r)^3)	$\frac{r^{4}}{{(3 r)}^{3}}$
200413	Simplify	(x^-7)/(8y^2)*8/(x^8y^-2)	$\frac{x^{- 7}}{8 y^{2}} \cdot \frac{8}{x^{8} y^{- 2}}$
200414	Simplify	(g^0h^7j^-2)/(g^-5h^0j^-2)	$\frac{g^{0} h^{7} j^{- 2}}{g^{- 5} h^{0} j^{- 2}}$
200415	Simplify	(8n^2)/(m^2-16)*(m^2-4m)/(6n)	$\frac{8 n^{2}}{m^{2} - 16} \cdot \frac{m^{2} - 4 m}{6 n}$
200416	Simplify the Radical Expression	4 square root of 15( square root of 6+ square root of 5)	$4 \sqrt{15} (\sqrt{6} + \sqrt{5})$
200417	Rationalize the Denominator	(7+5i)/(-7i)	$\frac{7 + 5 i}{- 7 i}$
200418	Find the Roots (Zeros)	S(r)=r^5+4r^4-13r^3-10r^2-12r+72	$S (r) = r^{5} + 4 r^{4} - 13 r^{3} - 10 r^{2} - 12 r + 72$
200419	Evaluate	( square root of 48)/( square root of 27)	$\frac{\sqrt{48}}{\sqrt{27}}$
200420	Simplify	((-(14x)^0y^-7z)^-2)/((y^-3z)^-2)	$\frac{{(- {(14 x)}^{0} y^{- 7} z)}^{- 2}}{{(y^{- 3} z)}^{- 2}}$
200421	Solve for x	7/(x-3)-(10x)/(6x+9)=5/3	$\frac{7}{x - 3} - \frac{10 x}{6 x + 9} = \frac{5}{3}$
200422	Solve by Factoring	3x^2=-12-5x	$3 x^{2} = - 12 - 5 x$
200423	Factor	10x-2xy+35-7y	$10 x - 2 x y + 35 - 7 y$
200424	Solve for y	1-2/(3y)=6/15	$1 - \frac{2}{3 y} = \frac{6}{15}$
200425	Solve for h	-9+3h=2h+7-h	$- 9 + 3 h = 2 h + 7 - h$
200426	Simplify	(3^2x^-3y^-4)/(2^-1x^-4y^-5)	$\frac{3^{2} x^{- 3} y^{- 4}}{2^{- 1} x^{- 4} y^{- 5}}$
200427	Solve for Y	x-2Y=3	$x - 2 Y = 3$
200428	Solve the System of Equations	y-x=2 y=-1/4x+7	$y - x = 2$ $y = - \frac{1}{4} x + 7$
200429	Solve for x	7/(4x+3)=2	$\frac{7}{4 x + 3} = 2$
200430	Simplify	(mx^2-my^2)/(2m+8)*(3m+12)/(my+mx)	$\frac{m x^{2} - m y^{2}}{2 m + 8} \cdot \frac{3 m + 12}{m y + m x}$
200431	Simplify	(12x^5y^3)/(4x^-1)	$\frac{12 x^{5} y^{3}}{4 x^{- 1}}$
200432	Solve for y	5.4/(2y)=9	$\frac{5.4}{2 y} = 9$
200433	Write as a Single Logarithm	-3 natural log of x-3 natural log of y+3 natural log of z	$- 3 \ln (x) - 3 \ln (y) + 3 \ln (z)$
200434	Solve the Inequality for N	X^2-4NX+4M>0	$X^{2} - 4 N X + 4 M > 0$
200435	Solve for a	4=ga	$4 = g a$
200436	Simplify	(18w^(1/3)v^(5/4))/(27w^(4/3)v^(1/2))	$\frac{18 w^{\frac{1}{3}} v^{\frac{5}{4}}}{27 w^{\frac{4}{3}} v^{\frac{1}{2}}}$
200437	Simplify	(2x^-3y^-2)/(z^4)	$\frac{2 x^{- 3} y^{- 2}}{z^{4}}$
200438	Simplify the Radical Expression	9/( square root of 3+ square root of 7)	$\frac{9}{\sqrt{3} + \sqrt{7}}$
200439	Simplify	5x^2y^3*(-2 3/4xy^6)	$5 x^{2} y^{3} \cdot (- 2 \frac{3}{4} x y^{6})$
200440	Simplify the Radical Expression	( cube root of 24^4)/24	$\frac{\sqrt[3]{24^{4}}}{24}$
200441	Solve for x	1/2x^(5/2)=16	$\frac{1}{2} x^{\frac{5}{2}} = 16$
200442	Write in Standard Form	(2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b)	$(2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2}) - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)$
200443	Graph	x+3y<-18 5x+2y<=14	$x + 3 y < - 18$ $5 x + 2 y \leq 14$
200444	Simplify	(6y^2+y-2)(2y-1)^-1	$(6 y^{2} + y - 2) {(2 y - 1)}^{- 1}$
200445	Simplify	( square root of x- square root of x+1)/( square root of x+ square root of x+1)	$\frac{\sqrt{x} - \sqrt{x + 1}}{\sqrt{x} + \sqrt{x + 1}}$
200446	Solve for x	1/x+5=1/2	$\frac{1}{x} + 5 = \frac{1}{2}$
200447	Solve for x	5/x-2=5/4	$\frac{5}{x} - 2 = \frac{5}{4}$
200448	Simplify	(3a)/(b^2)*(ab+b^2)/9	$\frac{3 a}{b^{2}} \cdot \frac{a b + b^{2}}{9}$
200449	Solve for x	3x^2-7x-9=4x^2-4x-9	$3 x^{2} - 7 x - 9 = 4 x^{2} - 4 x - 9$
200450	Solve for x	-(2-3x)+x=9-x	$- (2 - 3 x) + x = 9 - x$
200451	Simplify the Radical Expression	cube root of 3/(4k)	$\sqrt[3]{\frac{3}{4 k}}$
200452	Solve for x	4/(3(x+2))-2/(3x)=1/(x+2)	$\frac{4}{3 (x + 2)} - \frac{2}{3 x} = \frac{1}{x + 2}$
200453	Simplify	6 square root of 3ab*4 square root of 24ab^3	$6 \sqrt{3 a b} \cdot 4 \sqrt{24 a b^{3}}$
200454	Find the Complex Conjugate	square root of 6-3	$\sqrt{6} - 3$
200455	Write in Slope-Intercept Form	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
200456	Solve the System of Inequalities	3x+12>=-9 and 9x-3<=33	$3 x + 12 \geq - 9$ and $9 x - 3 \leq 33$
200457	Simplify	((x^2-3x-10)/(x+3))/((2x^2-7x-15)/(x^2-9))	$\frac{\frac{x^{2} - 3 x - 10}{x + 3}}{\frac{2 x^{2} - 7 x - 15}{x^{2} - 9}}$
200458	Simplify	(5a+b^2)/(8b)-(5a-7b^2)/(8b)	$\frac{5 a + b^{2}}{8 b} - \frac{5 a - 7 b^{2}}{8 b}$
200459	Simplify the Radical Expression	cube root of 750+ cube root of 2058- cube root of 48	$\sqrt[3]{750} + \sqrt[3]{2058} - \sqrt[3]{48}$
200460	Solve for z	square root of (z+1)^2=2	$\sqrt{{(z + 1)}^{2}} = 2$
200461	Simplify	( square root of 18x+4 square root of 8x- square root of 50x)	$(\sqrt{18 x} + 4 \sqrt{8 x} - \sqrt{50 x})$
200462	Evaluate	(6 5/6-5 3/8)÷(7/48)	$(6 \frac{5}{6} - 5 \frac{3}{8}) \div \frac{7}{48}$
200463	Solve for x	9/(15x)+1/5=2/5	$\frac{9}{15 x} + \frac{1}{5} = \frac{2}{5}$
200464	Solve for x	2/x=4/(2x)-2	$\frac{2}{x} = \frac{4}{2 x} - 2$
200465	Solve for f	fg=5	$f g = 5$
200466	Find the Product	(x^2+10x+100)(x-10)	$(x^{2} + 10 x + 100) (x - 10)$
200467	Solve the Inequality for t	7+t<=2(t+3)+2	$7 + t \leq 2 (t + 3) + 2$
200468	Find the Directrix	(x-1)^2+8(y+2)=0	${(x - 1)}^{2} + 8 (y + 2) = 0$
200469	Solve for x	square root of 4-x- square root of 3-x=1	$\sqrt{4 - x} - \sqrt{3 - x} = 1$
200470	Simplify the Radical Expression	( square root of 3)/( square root of 8)	$\frac{\sqrt{3}}{\sqrt{8}}$
200471	Simplify the Radical Expression	( cube root of 6* cube root of 72)/( cube root of 2)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{72}}{\sqrt[3]{2}}$
200472	Simplify	(6y^2+8y^4-5y)-(9y^4-7y+2y^2)	$(6 y^{2} + 8 y^{4} - 5 y) - (9 y^{4} - 7 y + 2 y^{2})$
200473	Simplify	4 square root of 2x*3 square root of 8x	$4 \sqrt{2 x} \cdot 3 \sqrt{8 x}$
200474	Simplify	16/( fourth root of 16^3)	$\frac{16}{\sqrt[4]{16^{3}}}$
200475	Simplify	(35x^5y)÷((7x^3)/34)	$35 x^{5} y \div \frac{7 x^{3}}{34}$
200476	Simplify	((2^6)/(5^3))^(-1/3)	${(\frac{2^{6}}{5^{3}})}^{- \frac{1}{3}}$
200477	Evaluate	2 3/4÷(1 1/2-2/5)	$2 \frac{3}{4} \div (1 \frac{1}{2} - \frac{2}{5})$
200478	Solve the Inequality for t	t-3>-8	$t - 3 > - 8$
200479	Simplify	3/4(24x+28)-(4x-1)	$\frac{3}{4} (24 x + 28) - (4 x - 1)$
200480	Solve for y	square root of 25y^2+40y+16=5y+4	$\sqrt{25 y^{2} + 40 y + 16} = 5 y + 4$
200481	Simplify	((-9p^(1/2)q)^0)^-1	${({(- 9 p^{\frac{1}{2}} q)}^{0})}^{- 1}$
200482	Solve the System of Equations	2x-6y=30 y=1/3x+1	$2 x - 6 y = 30$ $y = \frac{1}{3} x + 1$
200483	Solve for x	2 square root of x-8<24	$2 \sqrt{x - 8} < 24$
200484	Solve for h	-6+6h=9h	$- 6 + 6 h = 9 h$
200485	Simplify	((30x+15)/x)÷(10/(3x))	$\frac{30 x + 15}{x} \div \frac{10}{3 x}$
200486	Factor	x^5+5x^2-4x^3-20	$x^{5} + 5 x^{2} - 4 x^{3} - 20$
200487	Find the Domain and Range	f(x)=1/2 cube root of x+6	$f (x) = \frac{1}{2} \sqrt[3]{x + 6}$
200488	Expand the Logarithmic Expression	natural log of (3r^2)/(r-8)	$\ln (\frac{3 r^{2}}{r - 8})$
200489	Solve for x	2/x+3/x=1/(x-4)	$\frac{2}{x} + \frac{3}{x} = \frac{1}{x - 4}$
200490	Solve for x	7=(2x+46)/8	$7 = \frac{2 x + 46}{8}$
200491	Simplify	(-3)^(1/3)(-3)^(1/3)(-3)^(1/3)	${(- 3)}^{\frac{1}{3}} \cdot {(- 3)}^{\frac{1}{3}} \cdot {(- 3)}^{\frac{1}{3}}$
200492	Solve for w	-1/3=-5/6+w	$- \frac{1}{3} = - \frac{5}{6} + w$
200493	Solve the System of Inequalities	11x+4<15 or 12x-7>-25	$11 x + 4 < 15$ or $12 x - 7 > - 25$
200494	Solve for j	-9-7j+4=2-6j	$- 9 - 7 j + 4 = 2 - 6 j$
200495	Solve for c	10^2+10^2=c^2	$10^{2} + 10^{2} = c^{2}$
200496	Solve for x	x-5(x-1)=x-(2x-3)	$x - 5 (x - 1) = x - (2 x - 3)$
200497	Simplify the Radical Expression	fourth root of 5x* fourth root of 2x	$\sqrt[4]{5 x} \cdot \sqrt[4]{2 x}$
200498	Simplify	(a^-5b^8c^-12)(a^7b^-3c^7)	$(a^{- 5} b^{8} c^{- 12}) (a^{7} b^{- 3} c^{7})$
200499	Simplify	(2m^2)^-1(4m^(3/2))	${(2 m^{2})}^{- 1} (4 m^{\frac{3}{2}})$
200500	Solve the Rational Equation for m	fourth root of 2m=4	$\sqrt[4]{2 m} = 4$