Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175501	Solve for y	6/(y+4)-2/(y-3)=3	$\frac{6}{y + 4} - \frac{2}{y - 3} = 3$
175502	Solve for x	-8(2x-9)=20-12x	$- 8 (2 x - 9) = 20 - 12 x$
175503	Write in Exponential Form	( seventh root of x^2)/( fifth root of y^3)	$\frac{\sqrt[7]{x^{2}}}{\sqrt[5]{y^{3}}}$
175504	Solve Using the Square Root Property	9(2x-1)^2-8=0	$9 {(2 x - 1)}^{2} - 8 = 0$
175505	Simplify	(2ay^2+5y^3)-(-8a^3-11a^2y)+(-10a^2y-ay^2)	$(2 a y^{2} + 5 y^{3}) - (- 8 a^{3} - 11 a^{2} y) + (- 10 a^{2} y - a y^{2})$
175506	Simplify	(2^3*3^2)^2	${(2^{3} \cdot 3^{2})}^{2}$
175507	Solve for x	5(x+1)<=5x+3	$5 (x + 1) \leq 5 x + 3$
175508	Solve the System of Equations	y=2x-11 -3y=-6x-15	$y = 2 x - 11$ $- 3 y = - 6 x - 15$
175509	Find the Domain and Range	F(x)=1+1/x	$F (x) = 1 + \frac{1}{x}$
175510	Solve the System of Inequalities	4x+1<=-11 and -3>4x+1	$4 x + 1 \leq - 11$ and $- 3 > 4 x + 1$
175511	Convert to a Simplified Fraction	3/4+1.6	$\frac{3}{4} + 1.6$
175512	Graph	p(x)=(x-1)(2x+7)^2(x+1)^2	$p (x) = (x - 1) {(2 x + 7)}^{2} {(x + 1)}^{2}$
175513	Find the Inverse	f(x)=10x^(1/5)-2	$f (x) = 10 x^{\frac{1}{5}} - 2$
175514	Solve the Inequality for x	2(x+1)-3(x+5)>=0	$2 (x + 1) - 3 (x + 5) \geq 0$
175515	Solve the Inequality for x	(3x+1)/(x-2)>=5	$\frac{3 x + 1}{x - 2} \geq 5$
175516	Graph	\|x-2\|<=3	$\| x - 2 \| \leq 3$
175517	Simplify	(2i)/(3+i)	$\frac{2 i}{3 + i}$
175518	Solve the Inequality for w	-3(w+3)<9-3w	$- 3 (w + 3) < 9 - 3 w$
175519	Write in Standard Form	20-2x^2-5x=4	$20 - 2 x^{2} - 5 x = 4$
175520	Simplify	Simplify: square root of 32+ square root of 8	Simplify: $\sqrt{32} + \sqrt{8}$
175521	Solve for x	(1/64)^(-x-3)=16	${(\frac{1}{64})}^{- x - 3} = 16$
175522	Find the Inverse	f^-1(x)=x+10	$f^{- 1} (x) = x + 10$
175523	Evaluate Using the Given Value	(1/2)*400t^2=20 , 0	$(\frac{1}{2}) \cdot 400 t^{2} = 20$ , $0$
175524	Write in Standard Form	4x+2x^2=-8	$4 x + 2 x^{2} = - 8$
175525	Solve for x	3x+5+2x=12+4x	$3 x + 5 + 2 x = 12 + 4 x$
175526	Divide	(-7x^4+20x^2+10+5x^3)÷(-x^2+x+3)	$(- 7 x^{4} + 20 x^{2} + 10 + 5 x^{3}) \div (- x^{2} + x + 3)$
175527	Combine Like Terms	2r+(t+r)	$2 r + (t + r)$
175528	Evaluate	x+3(x-1)=6-4(2x+3)	$x + 3 (x - 1) = 6 - 4 (2 x + 3)$
175529	Find the x and y Intercepts	f(x)=x^3+x^2-20x	$f (x) = x^{3} + x^{2} - 20 x$
175530	Simplify	(a^2-b^2)/(a^3-b^3)	$\frac{a^{2} - b^{2}}{a^{3} - b^{3}}$
175531	Factor by Grouping	ax-bx+ay-by	$a x - b x + a y - b y$
175532	Solve for c	9c=6+5(c+2)	$9 c = 6 + 5 (c + 2)$
175533	Solve for y	-4y+8-2y=8(3/4y+3+1/2y)	$- 4 y + 8 - 2 y = 8 (\frac{3}{4} y + 3 + \frac{1}{2} y)$
175534	Solve for x	1410=4500(0.95)^(2x)+580	$1410 = 4500 {(0.95)}^{2 x} + 580$
175535	Divide Using Synthetic Division	2x^3-9x^2-16x-2 is divided by x+1	$2 x^{3} - 9 x^{2} - 16 x - 2$ is divided by $x + 1$
175536	Solve for h	41h+8h-30h-57=-19	$41 h + 8 h - 30 h - 57 = - 19$
175537	Evaluate	2(3/2)-3	$2 (\frac{3}{2}) - 3$
175538	Simplify	1*0-0/y	$1 \cdot 0 - \frac{0}{y}$
175539	Evaluate	-1/(1^2)	$- \frac{1}{1^{2}}$
175540	Solve for z	2/3z-4+z=5+2/3(z-6)	$\frac{2}{3} z - 4 + z = 5 + \frac{2}{3} (z - 6)$
175541	Find the Equation of the Circle	Center (0,0) , r=3	Center $(0, 0)$ , $r = 3$
175542	Solve for x	8+ square root of x/8=10	$8 + \sqrt{\frac{x}{8}} = 10$
175543	Solve for k	-29=9-6k-2k-14	$- 29 = 9 - 6 k - 2 k - 14$
175544	Find the Roots (Zeros)	t^3-13t^2+65t-105=0	$t^{3} - 13 t^{2} + 65 t - 105 = 0$
175545	Find All Complex Solutions	2cos(x)^2+sin(x)=1	$2 \cos^{2} (x) + \sin (x) = 1$
175546	Solve for r	V=1/3pir^2h ; for r	$V = \frac{1}{3} π r^{2} h$ ; for $r$
175547	Solve for s	t^2=2p+as	$t^{2} = 2 p + a s$
175548	Solve for x	f(x)=x^2	$f (x) = x^{2}$
175549	Solve for x	6+7* log base 2 of x=21	$6 + 7 \cdot \log_{2} (x) = 21$
175550	Simplify	((a^2b^4c)^2(6a^3b)(2c^5)^3)/(4a^6b^12c^3)	$\frac{{(a^{2} b^{4} c)}^{2} (6 a^{3} b) {(2 c^{5})}^{3}}{4 a^{6} b^{12} c^{3}}$
175551	Solve for b	A=1/2bh ; for b	$A = \frac{1}{2} b h$ ; for $b$
175552	Solve for x	4x^2-16x+13=3 log base 2 of x	$4 x^{2} - 16 x + 13 = 3 \log_{2} (x)$
175553	Solve by Substitution	3x-6=y -6x+y=-9	$3 x - 6 = y$ $- 6 x + y = - 9$
175554	Solve for x	-5x^2+9+7x=0	$- 5 x^{2} + 9 + 7 x = 0$
175555	Solve the Inequality for a	6a+11<=7a-10	$6 a + 11 \leq 7 a - 10$
175556	Solve the System of Inequalities	-30<=4x-10 and 30<4x-10	$- 30 \leq 4 x - 10$ and $30 < 4 x - 10$
175557	Simplify	(x^2-y^2)/(x^2+xy)	$\frac{x^{2} - y^{2}}{x^{2} + x y}$
175558	Solve for b	S=1/2(a-b)x	$S = \frac{1}{2} (a - b) x$
175559	Find All Complex Solutions	-7x-10-15x=-22x+83	$- 7 x - 10 - 15 x = - 22 x + 83$
175560	Solve for y	2y+5 = square root of 15-2y	$2 y + 5 = \sqrt{15 - 2 y}$
175561	Solve for k	-124=4(1+8k)	$- 124 = 4 (1 + 8 k)$
175562	Graph	y=1/2cos(x-pi)	$y = \frac{1}{2} \cos (x - π)$
175563	Find the Product	(x^2-9)/(x^2+x-20)*(x^2-8x+16)/(3x-9)	$\frac{x^{2} - 9}{x^{2} + x - 20} \cdot \frac{x^{2} - 8 x + 16}{3 x - 9}$
175564	Graph	((-)/oo,2) union (2,infinity)	$(\frac{-}{o} o, 2) \cup (2, \infty)$
175565	Graph	g(x)=-1/2f(x-2)	$g (x) = - \frac{1}{2} f (x - 2)$
175566	Solve for x	2(7x-2)-3(2x+6)=38	$2 (7 x - 2) - 3 (2 x + 6) = 38$
175567	Find the Holes in the Graph	f(x)=(x+3)/((x-1)(x+3))	$f (x) = \frac{x + 3}{(x - 1) (x + 3)}$
175568	Solve the Rational Equation for x	(x+4)/(x-2)=0	$\frac{x + 4}{x - 2} = 0$
175569	Solve for b	-4(b+1)+2b=3(2b-1)	$- 4 (b + 1) + 2 b = 3 (2 b - 1)$
175570	Solve for d	2/3(6+d)-2d=-3/4(d-8)	$\frac{2}{3} (6 + d) - 2 d = - \frac{3}{4} (d - 8)$
175571	Find the Midpoint	(4,-10) and (10,0)	$(4, - 10)$ and $(10, 0)$
175572	Find the Exact Value	(-1/2)^3	${(- \frac{1}{2})}^{3}$
175573	Graph	r=2sec(theta)	$r = 2 \sec (θ)$
175574	Evaluate	(-3+2)/2	$\frac{- 3 + 2}{2}$
175575	Solve for x	0.2x+2.7x-8.1=6.9+1.1x	$0.2 x + 2.7 x - 8.1 = 6.9 + 1.1 x$
175576	Simplify	(3xy)^2*(-4x^3y^2)^3	${(3 x y)}^{2} \cdot {(- 4 x^{3} y^{2})}^{3}$
175577	Write in Slope-Intercept Form	y+3=-1/3(2x+6)	$y + 3 = - \frac{1}{3} (2 x + 6)$
175578	Solve the System of Inequalities	-20<=5x-5 and 5x-5>=0	$- 20 \leq 5 x - 5$ and $5 x - 5 \geq 0$
175579	Solve for b	b+1=1/4(3b+2)	$b + 1 = \frac{1}{4} (3 b + 2)$
175580	Find the x and y Intercepts	R(x)=(x^2)/(x^2-x-12)	$R (x) = \frac{x^{2}}{x^{2} - x - 12}$
175581	Graph	-2>=x	$- 2 \geq x$
175582	Find the Exact Value	sec((3pi)/4)^2	$\sec^{2} (\frac{3 π}{4})$
175583	Solve the Inequality for x	square root of x^2-2x< square root of 3x+6	$\sqrt{x^{2} - 2 x} < \sqrt{3 x + 6}$
175584	Solve for b	10^(5b+2)>1000	$10^{5 b + 2} > 1000$
175585	Solve the Inequality for r	r+10<=-3(2r-3)+6(r+3)	$r + 10 \leq - 3 (2 r - 3) + 6 (r + 3)$
175586	Simplify	f^-1(f(x))	$f^{- 1} (f (x))$
175587	Solve for x	2x+3/(x+4)=x	$2 x + \frac{3}{x + 4} = x$
175588	Solve for s	-4\|s+9\|=-24	$- 4 \| s + 9 \| = - 24$
175589	Solve for a	( fifth root of x^2)/((x^2)^(1/5))=x^a	$\frac{\sqrt[5]{x^{2}}}{{(x^{2})}^{\frac{1}{5}}} = x^{a}$
175590	Find the Excluded Values	1/(v-5)	$\frac{1}{v - 5}$
175591	Solve for n	5(3/5n+2)-n=-6n	$5 (\frac{3}{5} n + 2) - n = - 6 n$
175592	Simplify	( sixth root of 64)/( fourth root of 256)	$\frac{\sqrt[6]{64}}{\sqrt[4]{256}}$
175593	Graph	4+n/3<6	$4 + \frac{n}{3} < 6$
175594	Simplify	(7a+7b)/(a^2-b^2)	$\frac{7 a + 7 b}{a^{2} - b^{2}}$
175595	Graph	y=1/3sin(2x)	$y = \frac{1}{3} \sin (2 x)$
175596	Solve the Inequality for z	2(z+1)-4(z-4)<=2(z+5)	$2 (z + 1) - 4 (z - 4) \leq 2 (z + 5)$
175597	Solve for x	square root of x+11 = square root of -1-3x	$\sqrt{x + 11} = \sqrt{- 1 - 3 x}$
175598	Find the Distance Between Two Points	(7,-1) and (5,9)	$(7, - 1)$ and $(5, 9)$
175599	Evaluate	5/9(F-32)	$\frac{5}{9} (F - 32)$
175600	Evaluate	((2^5- square root of 400)/2)-(3(-5+1))	$(\frac{2^{5} - \sqrt{400}}{2}) - (3 (- 5 + 1))$