Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175501	Graph	y = cube root of -x-1	$y = \sqrt[3]{- x - 1}$
175502	Solve the System of Inequalities	-11>2x+9 or 25>2x+9	$- 11 > 2 x + 9$ or $25 > 2 x + 9$
175503	Rationalize the Denominator	( square root of 2+ square root of 3)/( square root of 6)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{6}}$
175504	Solve for s	76s+3s-71s-5s-1=29	$76 s + 3 s - 71 s - 5 s - 1 = 29$
175505	Simplify	cos(theta)^2*sec(theta)^2	$\cos^{2} (θ) \cdot \sec^{2} (θ)$
175506	Factor	(x-3)(x-4)+(x-3)(x+4)	$(x - 3) (x - 4) + (x - 3) (x + 4)$
175507	Find the Equation Using Point-Slope Formula	(-8,6) , slope=1/4	$(- 8, 6)$ , $s l o p e = \frac{1}{4}$
175508	Solve for c	2(5c-7)>=10(c-3)	$2 (5 c - 7) \geq 10 (c - 3)$
175509	Solve the Inequality for x	-4(x+7)<3(x-2)	$- 4 (x + 7) < 3 (x - 2)$
175510	Solve the System of Equations	x+3y-z=2 x+y-z=0 3x+2y-3z=-1	$x + 3 y - z = 2$ $x + y - z = 0$ $3 x + 2 y - 3 z = - 1$
175511	Evaluate	4/3(3.14)(3)^3	$\frac{4}{3} (3.14) {(3)}^{3}$
175512	Solve for b	-4/7b+1/4=1/3b+1/2	$- \frac{4}{7} b + \frac{1}{4} = \frac{1}{3} b + \frac{1}{2}$
175513	Solve for x	2 1/2x-3/4(2x+5)=3/8	$2 \frac{1}{2} x - \frac{3}{4} (2 x + 5) = \frac{3}{8}$
175514	Find the Exact Value	sin(-22.5 degrees )	$\sin (- 22.5 °)$
175515	Evaluate	4m-2+(-8m)	$4 m - 2 + (- 8 m)$
175516	Solve for y	6/(y+4)-2/(y-3)=3	$\frac{6}{y + 4} - \frac{2}{y - 3} = 3$
175517	Solve for x	-8(2x-9)=20-12x	$- 8 (2 x - 9) = 20 - 12 x$
175518	Write in Exponential Form	( seventh root of x^2)/( fifth root of y^3)	$\frac{\sqrt[7]{x^{2}}}{\sqrt[5]{y^{3}}}$
175519	Solve Using the Square Root Property	9(2x-1)^2-8=0	$9 {(2 x - 1)}^{2} - 8 = 0$
175520	Simplify	(2ay^2+5y^3)-(-8a^3-11a^2y)+(-10a^2y-ay^2)	$(2 a y^{2} + 5 y^{3}) - (- 8 a^{3} - 11 a^{2} y) + (- 10 a^{2} y - a y^{2})$
175521	Simplify	(2^3*3^2)^2	${(2^{3} \cdot 3^{2})}^{2}$
175522	Solve for x	5(x+1)<=5x+3	$5 (x + 1) \leq 5 x + 3$
175523	Solve the System of Equations	y=2x-11 -3y=-6x-15	$y = 2 x - 11$ $- 3 y = - 6 x - 15$
175524	Find the Domain and Range	F(x)=1+1/x	$F (x) = 1 + \frac{1}{x}$
175525	Solve the System of Inequalities	4x+1<=-11 and -3>4x+1	$4 x + 1 \leq - 11$ and $- 3 > 4 x + 1$
175526	Convert to a Simplified Fraction	3/4+1.6	$\frac{3}{4} + 1.6$
175527	Graph	p(x)=(x-1)(2x+7)^2(x+1)^2	$p (x) = (x - 1) {(2 x + 7)}^{2} {(x + 1)}^{2}$
175528	Find the Inverse	f(x)=10x^(1/5)-2	$f (x) = 10 x^{\frac{1}{5}} - 2$
175529	Solve the Inequality for x	2(x+1)-3(x+5)>=0	$2 (x + 1) - 3 (x + 5) \geq 0$
175530	Solve the Inequality for x	(3x+1)/(x-2)>=5	$\frac{3 x + 1}{x - 2} \geq 5$
175531	Graph	\|x-2\|<=3	$\| x - 2 \| \leq 3$
175532	Simplify	(2i)/(3+i)	$\frac{2 i}{3 + i}$
175533	Solve the Inequality for w	-3(w+3)<9-3w	$- 3 (w + 3) < 9 - 3 w$
175534	Write in Standard Form	20-2x^2-5x=4	$20 - 2 x^{2} - 5 x = 4$
175535	Simplify	Simplify: square root of 32+ square root of 8	Simplify: $\sqrt{32} + \sqrt{8}$
175536	Solve for x	(1/64)^(-x-3)=16	${(\frac{1}{64})}^{- x - 3} = 16$
175537	Find the Inverse	f^-1(x)=x+10	$f^{- 1} (x) = x + 10$
175538	Evaluate Using the Given Value	(1/2)*400t^2=20 , 0	$(\frac{1}{2}) \cdot 400 t^{2} = 20$ , $0$
175539	Write in Standard Form	4x+2x^2=-8	$4 x + 2 x^{2} = - 8$
175540	Solve for x	3x+5+2x=12+4x	$3 x + 5 + 2 x = 12 + 4 x$
175541	Divide	(-7x^4+20x^2+10+5x^3)÷(-x^2+x+3)	$(- 7 x^{4} + 20 x^{2} + 10 + 5 x^{3}) \div (- x^{2} + x + 3)$
175542	Combine Like Terms	2r+(t+r)	$2 r + (t + r)$
175543	Evaluate	x+3(x-1)=6-4(2x+3)	$x + 3 (x - 1) = 6 - 4 (2 x + 3)$
175544	Find the x and y Intercepts	f(x)=x^3+x^2-20x	$f (x) = x^{3} + x^{2} - 20 x$
175545	Simplify	(a^2-b^2)/(a^3-b^3)	$\frac{a^{2} - b^{2}}{a^{3} - b^{3}}$
175546	Factor by Grouping	ax-bx+ay-by	$a x - b x + a y - b y$
175547	Solve for c	9c=6+5(c+2)	$9 c = 6 + 5 (c + 2)$
175548	Solve for y	-4y+8-2y=8(3/4y+3+1/2y)	$- 4 y + 8 - 2 y = 8 (\frac{3}{4} y + 3 + \frac{1}{2} y)$
175549	Solve for x	1410=4500(0.95)^(2x)+580	$1410 = 4500 {(0.95)}^{2 x} + 580$
175550	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 $x + 1$
175551	Solve for h	41h+8h-30h-57=-19	$41 h + 8 h - 30 h - 57 = - 19$
175552	Evaluate	2(3/2)-3	$2 (\frac{3}{2}) - 3$
175553	Simplify	1*0-0/y	$1 \cdot 0 - \frac{0}{y}$
175554	Evaluate	-1/(1^2)	$- \frac{1}{1^{2}}$
175555	Solve for z	2/3z-4+z=5+2/3(z-6)	$\frac{2}{3} z - 4 + z = 5 + \frac{2}{3} (z - 6)$
175556	Find the Equation of the Circle	Center (0,0) , r=3	Center $(0, 0)$ , $r = 3$
175557	Solve for x	8+ square root of x/8=10	$8 + \sqrt{\frac{x}{8}} = 10$
175558	Solve for k	-29=9-6k-2k-14	$- 29 = 9 - 6 k - 2 k - 14$
175559	Find the Roots (Zeros)	t^3-13t^2+65t-105=0	$t^{3} - 13 t^{2} + 65 t - 105 = 0$
175560	Find All Complex Solutions	2cos(x)^2+sin(x)=1	$2 \cos^{2} (x) + \sin (x) = 1$
175561	Solve for r	V=1/3pir^2h ; for r	$V = \frac{1}{3} π r^{2} h$ ; for $r$
175562	Solve for s	t^2=2p+as	$t^{2} = 2 p + a s$
175563	Solve for x	f(x)=x^2	$f (x) = x^{2}$
175564	Solve for x	6+7* log base 2 of x=21	$6 + 7 \cdot \log_{2} (x) = 21$
175565	Simplify	((a^2b^4c)^2(6a^3b)(2c^5)^3)/(4a^6b^12c^3)	$\frac{{(a^{2} b^{4} c)}^{2} (6 a^{3} b) {(2 c^{5})}^{3}}{4 a^{6} b^{12} c^{3}}$
175566	Solve for b	A=1/2bh ; for b	$A = \frac{1}{2} b h$ ; for $b$
175567	Solve for x	4x^2-16x+13=3 log base 2 of x	$4 x^{2} - 16 x + 13 = 3 \log_{2} (x)$
175568	Solve by Substitution	3x-6=y -6x+y=-9	$3 x - 6 = y$ $- 6 x + y = - 9$
175569	Solve for x	-5x^2+9+7x=0	$- 5 x^{2} + 9 + 7 x = 0$
175570	Solve the Inequality for a	6a+11<=7a-10	$6 a + 11 \leq 7 a - 10$
175571	Solve the System of Inequalities	-30<=4x-10 and 30<4x-10	$- 30 \leq 4 x - 10$ and $30 < 4 x - 10$
175572	Simplify	(x^2-y^2)/(x^2+xy)	$\frac{x^{2} - y^{2}}{x^{2} + x y}$
175573	Solve for b	S=1/2(a-b)x	$S = \frac{1}{2} (a - b) x$
175574	Find All Complex Solutions	-7x-10-15x=-22x+83	$- 7 x - 10 - 15 x = - 22 x + 83$
175575	Solve for y	2y+5 = square root of 15-2y	$2 y + 5 = \sqrt{15 - 2 y}$
175576	Solve for k	-124=4(1+8k)	$- 124 = 4 (1 + 8 k)$
175577	Graph	y=1/2cos(x-pi)	$y = \frac{1}{2} \cos (x - π)$
175578	Find the Product	(x^2-9)/(x^2+x-20)*(x^2-8x+16)/(3x-9)	$\frac{x^{2} - 9}{x^{2} + x - 20} \cdot \frac{x^{2} - 8 x + 16}{3 x - 9}$
175579	Graph	((-)/oo,2) union (2,infinity)	$(\frac{-}{o} o, 2) \cup (2, \infty)$
175580	Graph	g(x)=-1/2f(x-2)	$g (x) = - \frac{1}{2} f (x - 2)$
175581	Solve for x	2(7x-2)-3(2x+6)=38	$2 (7 x - 2) - 3 (2 x + 6) = 38$
175582	Find the Holes in the Graph	f(x)=(x+3)/((x-1)(x+3))	$f (x) = \frac{x + 3}{(x - 1) (x + 3)}$
175583	Solve the Rational Equation for x	(x+4)/(x-2)=0	$\frac{x + 4}{x - 2} = 0$
175584	Solve for b	-4(b+1)+2b=3(2b-1)	$- 4 (b + 1) + 2 b = 3 (2 b - 1)$
175585	Solve for d	2/3(6+d)-2d=-3/4(d-8)	$\frac{2}{3} (6 + d) - 2 d = - \frac{3}{4} (d - 8)$
175586	Find the Midpoint	(4,-10) and (10,0)	$(4, - 10)$ and $(10, 0)$
175587	Find the Exact Value	(-1/2)^3	${(- \frac{1}{2})}^{3}$
175588	Graph	r=2sec(theta)	$r = 2 \sec (θ)$
175589	Evaluate	(-3+2)/2	$\frac{- 3 + 2}{2}$
175590	Solve for x	0.2x+2.7x-8.1=6.9+1.1x	$0.2 x + 2.7 x - 8.1 = 6.9 + 1.1 x$
175591	Simplify	(3xy)^2*(-4x^3y^2)^3	${(3 x y)}^{2} \cdot {(- 4 x^{3} y^{2})}^{3}$
175592	Write in Slope-Intercept Form	y+3=-1/3(2x+6)	$y + 3 = - \frac{1}{3} (2 x + 6)$
175593	Solve the System of Inequalities	-20<=5x-5 and 5x-5>=0	$- 20 \leq 5 x - 5$ and $5 x - 5 \geq 0$
175594	Solve for b	b+1=1/4(3b+2)	$b + 1 = \frac{1}{4} (3 b + 2)$
175595	Find the x and y Intercepts	R(x)=(x^2)/(x^2-x-12)	$R (x) = \frac{x^{2}}{x^{2} - x - 12}$
175596	Graph	-2>=x	$- 2 \geq x$
175597	Find the Exact Value	sec((3pi)/4)^2	$\sec^{2} (\frac{3 π}{4})$
175598	Solve the Inequality for x	square root of x^2-2x< square root of 3x+6	$\sqrt{x^{2} - 2 x} < \sqrt{3 x + 6}$
175599	Solve for b	10^(5b+2)>1000	$10^{5 b + 2} > 1000$
175600	Solve the Inequality for r	r+10<=-3(2r-3)+6(r+3)	$r + 10 \leq - 3 (2 r - 3) + 6 (r + 3)$