Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175401	Simplify	1/(( fourth root of 5x)^5)	$\frac{1}{{(\sqrt[4]{5 x})}^{5}}$
175402	Find the End Behavior	f(x)=-2x(3x^2+5)(4x-3) ?	$f (x) = - 2 x (3 x^{2} + 5) (4 x - 3)$ ?
175403	Solve for s	9(5s+11)-20=-11	$9 (5 s + 11) - 20 = - 11$
175404	Graph	-1/3(2x+1)<3	$- \frac{1}{3} (2 x + 1) < 3$
175405	Simplify	(x^2(x^2-5x-14))/(4x(x^2+6x+8))	$\frac{x^{2} (x^{2} - 5 x - 14)}{4 x (x^{2} + 6 x + 8)}$
175406	Evaluate	sin(theta)=0	$\sin (θ) = 0$
175407	Expand the Logarithmic Expression	log of (x^2y^5)/( square root of z^3)	$\log (\frac{x^{2} y^{5}}{\sqrt{z^{3}}})$
175408	Simplify	6/( square root of 12x)	$\frac{6}{\sqrt{12 x}}$
175409	Factor	9a^2b^2-16b^2c^6	$9 a^{2} b^{2} - 16 b^{2} c^{6}$
175410	Solve for x	3/4(2x+4)=x+19	$\frac{3}{4} (2 x + 4) = x + 19$
175411	Evaluate	(80/25)÷(-2/3)	$\frac{80}{25} \div (- \frac{2}{3})$
175412	Solve for x	-7x+x^2+6=-6x+3+x^2	$- 7 x + x^{2} + 6 = - 6 x + 3 + x^{2}$
175413	Solve for y	2(3y+5)=3(5y+1/3)	$2 (3 y + 5) = 3 (5 y + \frac{1}{3})$
175414	Divide Using Synthetic Division	-6x^3+18x^2-7x-10 by (x-2)	$- 6 x^{3} + 18 x^{2} - 7 x - 10$ by $(x - 2)$
175415	Factor	2mx^4+3nx^4+10m+15n	$2 m x^{4} + 3 n x^{4} + 10 m + 15 n$
175416	Graph	y=2x+1 y=x+2	$y = 2 x + 1$ $y = x + 2$
175417	Solve for x	3/(5x)+1/(6x)=2/3	$\frac{3}{5 x} + \frac{1}{6 x} = \frac{2}{3}$
175418	Simplify	(3x^-2y)*(6xy^-3)	$(3 x^{- 2} y) \cdot (6 x y^{- 3})$
175419	Graph	y=\|x^2-2x-3\|	$y = \| x^{2} - 2 x - 3 \|$
175420	Solve for n	3\|n-1\|>9	$3 \| n - 1 \| > 9$
175421	Solve for y	3y-yz=2z	$3 y - y z = 2 z$
175422	Solve the Inequality for h	h-6<=-8.4	$h - 6 \leq - 8.4$
175423	Simplify	((81xz^3)/(36y))÷((27x^2z^2)/(12xy))	$\frac{81 x z^{3}}{36 y} \div \frac{27 x^{2} z^{2}}{12 x y}$
175424	Simplify	1/2(2x)	$\frac{1}{2} (2 x)$
175425	Simplify	(3^-1)÷(3^4)	$3^{- 1} \div 3^{4}$
175426	Solve the System of Inequalities	-2x-4>12 and -2x-4>-14	$- 2 x - 4 > 12$ and $- 2 x - 4 > - 14$
175427	Solve the System of Inequalities	-44>4x-4 and 4x-4<=-24	$- 44 > 4 x - 4$ and $4 x - 4 \leq - 24$
175428	Write in Standard Form	(4x-9)(2x^2+2x+1)	$(4 x - 9) (2 x^{2} + 2 x + 1)$
175429	Simplify	(ab^2)^-4	${(a b^{2})}^{- 4}$
175430	Evaluate	10*5+(4^2)/4	$10 \cdot 5 + \frac{4^{2}}{4}$
175431	Solve for t	2t-2t+2t=8	$2 t - 2 t + 2 t = 8$
175432	Solve the Inequality for x	x^2+1>=0	$x^{2} + 1 \geq 0$
175433	Solve for b	(5^6)/(5^2)=a^b	$\frac{5^{6}}{5^{2}} = a^{b}$
175434	Find the Roots (Zeros)	x^2-8x-8=-2x	$x^{2} - 8 x - 8 = - 2 x$
175435	Solve the System of Inequalities	12x-39<=9 and -4x+3<-6	$12 x - 39 \leq 9$ and $- 4 x + 3 < - 6$
175436	Simplify	(a^3-b^3)^2	${(a^{3} - b^{3})}^{2}$
175437	Write in Standard Form	(3x+5)(2x^2+x+5)	$(3 x + 5) (2 x^{2} + x + 5)$
175438	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+1)^2(x-3)^5(x-4)	$f (x) = {(x + 1)}^{2} {(x - 3)}^{5} (x - 4)$
175439	Find the Domain and Range	y=(x-1)/(x^2-4)	$y = \frac{x - 1}{x^{2} - 4}$
175440	Solve for z	3=12/(z^2)	$3 = \frac{12}{z^{2}}$
175441	Find the Quotient	(x^5-1)/(x-1)	$\frac{x^{5} - 1}{x - 1}$
175442	Solve the System of Inequalities	-38>=-5x-3 or -53>=-5x-3	$- 38 \geq - 5 x - 3$ or $- 53 \geq - 5 x - 3$
175443	Solve for x	x+(3x)/(x-10)=2	$x + \frac{3 x}{x - 10} = 2$
175444	Graph	0<=2n+3n	$0 \leq 2 n + 3 n$
175445	Evaluate	2(((9-4)/5)((10-2)/4))+((9)(6))/18+2	$2 ((\frac{9 - 4}{5}) (\frac{10 - 2}{4})) + \frac{(9) (6)}{18} + 2$
175446	Solve for X	2/(3-X)+3/(X+3)=(6X)/(X^2-9)	$\frac{2}{3 - X} + \frac{3}{X + 3} = \frac{6 X}{X^{2} - 9}$
175447	Solve for x	(3(2+x))/(2x)=-1/x+2	$\frac{3 (2 + x)}{2 x} = - \frac{1}{x} + 2$
175448	Solve the Inequality for x	log base 3 of 3x-2<2	$\log_{3} (3 x - 2) < 2$
175449	Solve for G	P=2G+2M for G	$P = 2 G + 2 M$ for $G$
175450	Find the x and y Intercepts	y=2(1/3)^x	$y = 2 {(\frac{1}{3})}^{x}$
175451	Find the Focus	x^2=y	$x^{2} = y$
175452	Find the Inverse	f(x)=4\|2x-1\|	$f (x) = 4 \| 2 x - 1 \|$
175453	Solve for x	1/(x^2)<0.000001	$\frac{1}{x^{2}} < 0.000001$
175454	Solve for θ	sin(2theta)=1	$\sin (2 θ) = 1$
175455	Write in Standard Form	-19+x^2+4x=3x^2+1-x	$- 19 + x^{2} + 4 x = 3 x^{2} + 1 - x$
175456	Evaluate	tan(theta)=-( square root of 3)/3	$\tan (θ) = - \frac{\sqrt{3}}{3}$
175457	Solve Using the Quadratic Formula	9(2x-1)^2-8=0	$9 {(2 x - 1)}^{2} - 8 = 0$
175458	Find the Roots (Zeros)	(x- square root of 3)^2(x- square root of 7)	${(x - \sqrt{3})}^{2} (x - \sqrt{7})$
175459	Find a,b,c	(x-1)^2+3=2x+1	${(x - 1)}^{2} + 3 = 2 x + 1$
175460	Solve for a	g=4ca-3ba ; for a	$g = 4 c a - 3 b a$ ; for $a$
175461	Solve the System of Inequalities	-6x+14<-28 ; OR , 9x+15<=-12	$- 6 x + 14 < - 28$ ; OR , $9 x + 15 \leq - 12$
175462	Solve for x	log base 7 of 9x-2 log base 7 of 7=0	$\log_{7} (9 x) - 2 \log_{7} (7) = 0$
175463	Solve the Inequality for x	\|x\|>=3	$\| x \| \geq 3$
175464	Simplify the Radical Expression	eighth root of x^2y^6	$\sqrt[8]{x^{2} y^{6}}$
175465	Write in Standard Form	-6-5x^2+13x=5x+5	$- 6 - 5 x^{2} + 13 x = 5 x + 5$
175466	Simplify	(x^3-1)/(1-x^3)	$\frac{x^{3} - 1}{1 - x^{3}}$
175467	Find the Midpoint	(9,6) and (5,2)	$(9, 6)$ and $(5, 2)$
175468	Convert to a Decimal	36deg	$36$ degrees
175469	Solve for x	-4x-14-9x=-13x-7-6	$- 4 x - 14 - 9 x = - 13 x - 7 - 6$
175470	Convert to Radical Form	1/(3x^(-5/2))	$\frac{1}{3 x^{- \frac{5}{2}}}$
175471	Solve for z	z-2/3=1/8	$z - \frac{2}{3} = \frac{1}{8}$
175472	Find the Exact Value	tan(arcsin(-( square root of 3)/2))	$\tan (\arcsin (- \frac{\sqrt{3}}{2}))$
175473	Solve for a	6(2/3a-4)-8(3+1/2a)=-a	$6 (\frac{2}{3} a - 4) - 8 (3 + \frac{1}{2} a) = - a$
175474	Solve the Inequality for x	-4(2x+1)<=3(x-5)	$- 4 (2 x + 1) \leq 3 (x - 5)$
175475	Write in Slope-Intercept Form	y-1=-1/3(x-6)	$y - 1 = - \frac{1}{3} (x - 6)$
175476	Evaluate	(2^-4*z^-3)^5	${(2^{- 4} \cdot z^{- 3})}^{5}$
175477	Solve for m	5^m*(5^-7)^m=5^12	$5^{m} \cdot {(5^{- 7})}^{m} = 5^{12}$
175478	Solve the System of Equations	4x+2y=8 and 4x-y=-1	$4 x + 2 y = 8$ and $4 x - y = - 1$
175479	Solve for x	(2pi)/x=3pi	$\frac{2 π}{x} = 3 π$
175480	Find the Midpoint	(-1,9) and (-7,1)	$(- 1, 9)$ and $(- 7, 1)$
175481	Write in Standard Form	-5+2x^2=-7x+x^2-4	$- 5 + 2 x^{2} = - 7 x + x^{2} - 4$
175482	Write in Standard Form	-3x-17=x^2-2	$- 3 x - 17 = x^{2} - 2$
175483	Simplify	14cd-2c^2d^2+15cd+5c^2d^2-15cd	$14 c d - 2 c^{2} d^{2} + 15 c d + 5 c^{2} d^{2} - 15 c d$
175484	Simplify	(9a^3b^4c)^2(2a^2b^3)^3(ac)	${(9 a^{3} b^{4} c)}^{2} \cdot {(2 a^{2} b^{3})}^{3} \cdot (a c)$
175485	Solve for a	( cube root of x^5)/((x^(1/3))^5)=x^a	$\frac{\sqrt[3]{x^{5}}}{{(x^{\frac{1}{3}})}^{5}} = x^{a}$
175486	Simplify	(5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)	$(5 x^{3} + 4 x^{2} + 6 x - 3) + (- 2 x^{3} + 3 x^{2} - 7 x + 9) - (5 x + 3) (4 x^{2} + x - 1)$
175487	Solve for x	3/10=x/2	$\frac{3}{10} = \frac{x}{2}$
175488	Solve the Inequality for m	m^2-7m<=10	$m^{2} - 7 m \leq 10$
175489	Solve for x	2x+3=1/2(4x+2)+2	$2 x + 3 = \frac{1}{2} (4 x + 2) + 2$
175490	Simplify	(6x^2)/(2xy)-(8z)/(xz)	$\frac{6 x^{2}}{2 x y} - \frac{8 z}{x z}$
175491	Evaluate	(12(30-(9+4^2)))/(\|10\|-\|-6\|)	$\frac{12 (30 - (9 + 4^{2}))}{\| 10 \| - \| - 6 \|}$
175492	Graph Using a Table of Values	y=5(2)^x	$y = 5 {(2)}^{x}$
175493	Simplify	(-3(j^-3a^4)^-3)/(3j^4a^8)	$\frac{- 3 {(j^{- 3} a^{4})}^{- 3}}{3 j^{4} a^{8}}$
175494	Solve for x	3/4x+5-1/2x=3	$\frac{3}{4} x + 5 - \frac{1}{2} x = 3$
175495	Solve for y	4\|2y-7\|+13=9	$4 \| 2 y - 7 \| + 13 = 9$
175496	Simplify	(2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3)	$\frac{2 x^{2} - 7 x - 15}{x^{2} - 25} \cdot \frac{x^{2} + x}{2 x^{2} + 5 x + 3}$
175497	Graph	15>=q+3	$15 \geq q + 3$
175498	Solve Using the Quadratic Formula	3y^2+y=-1/12	$3 y^{2} + y = - \frac{1}{12}$
175499	Solve the System of Inequalities	12x+7<-11 ; OR , 5x-8>40	$12 x + 7 < - 11$ ; OR , $5 x - 8 > 40$
175500	Solve for m	9>=-2m+2-3	$9 \geq - 2 m + 2 - 3$