Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
164501	Solve the Inequality for x	x^2+x-2>0	$x^{2} + x - 2 > 0$
164502	Simplify	x^-5x+6	$x^{- 5} x + 6$
164503	Simplify	-3x^3y^2(12y^4)	$- 3 x^{3} y^{2} (12 y^{4})$
164504	Solve the Inequality for x	2x^2+4<=8x	$2 x^{2} + 4 \leq 8 x$
164505	Solve the Inequality for x	2^(x+2)>1/32	$2^{x + 2} > \frac{1}{32}$
164506	Solve for a	b=9+1/3qa	$b = 9 + \frac{1}{3} q a$
164507	Simplify	square root of -36+ square root of -100+7	$\sqrt{- 36} + \sqrt{- 100} + 7$
164508	Simplify	(x+8)/(x^2+13x+40)*(x^2-25)/(9x^2)	$\frac{x + 8}{x^{2} + 13 x + 40} \cdot \frac{x^{2} - 25}{9 x^{2}}$
164509	Evaluate	pi/(2/2)	$\frac{π}{\frac{2}{2}}$
164510	Simplify	8/(4(x-3)^2-5)	$\frac{8}{4 {(x - 3)}^{2} - 5}$
164511	Graph	y=-1/(x+4)	$y = - \frac{1}{x + 4}$
164512	Convert to Interval Notation	2x-11<5x+7<=2x-2	$2 x - 11 < 5 x + 7 \leq 2 x - 2$
164513	Solve for a	-(2/3a-1/3)+5/3a=-4	$- (\frac{2}{3} a - \frac{1}{3}) + \frac{5}{3} a = - 4$
164514	Simplify	(a^2b^5c)/(a^4bc^3)	$\frac{a^{2} b^{5} c}{a^{4} b c^{3}}$
164515	Solve the Inequality for x	(x+8)(x-6)^2(x+2)>=0	$(x + 8) {(x - 6)}^{2} (x + 2) \geq 0$
164516	Write in Standard Form	8x^2-5+7x^4-9x-x^5	$8 x^{2} - 5 + 7 x^{4} - 9 x - x^{5}$
164517	Solve for x	8/9(54x-36)+2=-3/4(-40+16x)+90x	$\frac{8}{9} (54 x - 36) + 2 = - \frac{3}{4} (- 40 + 16 x) + 90 x$
164518	Solve for x	square root of x+2=-x	$\sqrt{x + 2} = - x$
164519	Simplify	(8x^3y^-2z^-4)/(6x^-1yz^-5)	$\frac{8 x^{3} y^{- 2} z^{- 4}}{6 x^{- 1} y z^{- 5}}$
164520	Solve for x	x^2+x-25=x	$x^{2} + x - 25 = x$
164521	Find the Function	f(x)=2x^2+3	$f (x) = 2 x^{2} + 3$
164522	Graph	f(x)=4 if x<-2; x^2 if -2<=x<=2; -x+6 if x>2	$f (x) = {\begin{cases} 4 & x < - 2 \\ x^{2} & - 2 \leq x \leq 2 \\ - x + 6 & x > 2 \end{cases}$
164523	Solve for w	4(w+1)+w=5(w-1)+9	$4 (w + 1) + w = 5 (w - 1) + 9$
164524	Solve for x	z=(x+h)k	$z = (x + h) k$
164525	Solve for x	square root of 4x+0+11=13	$\sqrt{4 x + 0} + 11 = 13$
164526	Solve for p	(\|7p+4\|)/8=3	$\frac{\| 7 p + 4 \|}{8} = 3$
164527	Find the Roots (Zeros)	x(x^2+4x-12)	$x (x^{2} + 4 x - 12)$
164528	Solve for x	log base 2 of log base 2 of square root of 4x=1	$\log_{2} (\log_{2} (\sqrt{4 x})) = 1$
164529	Evaluate	(x+1)(x+1)	$(x + 1) (x + 1)$
164530	Simplify	b+2(b+2b)	$b + 2 (b + 2 b)$
164531	Evaluate	2/(2pi)	$\frac{2}{2 π}$
164532	Solve the Inequality for x	-x^2+9>0	$- x^{2} + 9 > 0$
164533	Simplify	3x^2-2x+4x^2-x+x	$3 x^{2} - 2 x + 4 x^{2} - x + x$
164534	Graph	-8<=8+y	$- 8 \leq 8 + y$
164535	Graph	f(x)=2(x-5)(x+1)(x+8)	$f (x) = 2 (x - 5) (x + 1) (x + 8)$
164536	Solve for w	12+5w-4w=15	$12 + 5 w - 4 w = 15$
164537	Solve for x	9+12i=3x+4yi	$9 + 12 i = 3 x + 4 y i$
164538	Solve for x	3x+2<=5(x-4)	$3 x + 2 \leq 5 (x - 4)$
164539	Solve for θ	sin(theta)cos(theta)-1/2cos(theta)=0	$\sin (θ) \cos (θ) - \frac{1}{2} \cos (θ) = 0$
164540	Evaluate	(-x)^4	${(- x)}^{4}$
164541	Solve for x	(x+2)/2=(3x-8)/10	$\frac{x + 2}{2} = \frac{3 x - 8}{10}$
164542	Solve for x	square root of x+3=2 square root of x-2	$\sqrt{x + 3} = 2 \sqrt{x - 2}$
164543	Solve the Inequality for x	2x^2<5x+3	$2 x^{2} < 5 x + 3$
164544	Evaluate	natural log of e^8+ natural log of e^4	$\ln (e^{8}) + \ln (e^{4})$
164545	Solve for x	square root of x+1 = square root of x+3	$\sqrt{x} + 1 = \sqrt{x + 3}$
164546	Simplify	\|3-10\|-(12÷4+2)^2	$\| 3 - 10 \| - {(12 \div 4 + 2)}^{2}$
164547	Graph	y<=x+4 2x+y<=-4	$y \leq x + 4$ $2 x + y \leq - 4$
164548	Solve for f	3M+1/2tf=g^3	$3 M + \frac{1}{2} t f = g^{3}$
164549	Find the x and y Intercepts	y=-x^6-6x^5+50x^3+45x^2-108x-108	$y = - x^{6} - 6 x^{5} + 50 x^{3} + 45 x^{2} - 108 x - 108$
164550	Simplify	3xy(5x^2+2xy+3y^2)	$3 x y (5 x^{2} + 2 x y + 3 y^{2})$
164551	Solve the Inequality for t	-8-5(10t+1)>=4t-10-9t	$- 8 - 5 (10 t + 1) \geq 4 t - 10 - 9 t$
164552	Solve the System of Inequalities	9x<=-27 or 4x>=36	$9 x \leq - 27$ or $4 x \geq 36$
164553	Solve the System of Inequalities	15<x+8 and x+8<=19	$15 < x + 8$ and $x + 8 \leq 19$
164554	Evaluate	e^(2x)-3e^x+2=0	$e^{2 x} - 3 e^{x} + 2 = 0$
164555	Solve for m	n=-Q+1/3Tm	$n = - Q + \frac{1}{3} T m$
164556	Convert to Polar	x=5	$x = 5$
164557	Factor by Grouping	x^4-13x^2+36	$x^{4} - 13 x^{2} + 36$
164558	Solve the System of Equations	4x+2y=8 4x+3y=16	$4 x + 2 y = 8$ $4 x + 3 y = 16$
164559	Find the LCM	LCM: 24 and 52	LCM: $24$ and $52$
164560	Solve for b	-17=-3/2b	$- 17 = - \frac{3}{2} b$
164561	Simplify	x/(x^2+4x-45)*(x^2+13x+36)/(x+4)	$\frac{x}{x^{2} + 4 x - 45} \cdot \frac{x^{2} + 13 x + 36}{x + 4}$
164562	Simplify	8^n8^178^17	$8^{n} \cdot 8^{17} \cdot 8^{17}$
164563	Solve for r	-13=-3/4r	$- 13 = - \frac{3}{4} r$
164564	Graph	y>=-7/6x	$y \geq - \frac{7}{6} x$
164565	Find the Exact Value	sin(75 degrees )-sin(15 degrees )	$\sin (75 °) - \sin (15 °)$
164566	Solve for x	2/3(x-2)=4x	$\frac{2}{3} (x - 2) = 4 x$
164567	Solve for R	l=PRT	$l = P R T$
164568	Solve for r	4/5r=-7	$\frac{4}{5} r = - 7$
164569	Find the Degree	49xy+34y-72z	$49 x y + 34 y - 72 z$
164570	Simplify	(2a^2-2)/(2a^2+4a-6)	$\frac{2 a^{2} - 2}{2 a^{2} + 4 a - 6}$
164571	Solve for r	r-rs=2rs+5	$r - r s = 2 r s + 5$
164572	Solve for x	cube root of x+4+ cube root of 2x+8=0	$\sqrt[3]{x + 4} + \sqrt[3]{2 x + 8} = 0$
164573	Solve the Inequality for q	-9-5(8q-9)<=-2q-9-2	$- 9 - 5 (8 q - 9) \leq - 2 q - 9 - 2$
164574	Solve for x	z-m=z+bx	$z - m = z + b x$
164575	Factor	12m^3n^3-18m^2n^2-24m^4n^4	$12 m^{3} n^{3} - 18 m^{2} n^{2} - 24 m^{4} n^{4}$
164576	Solve the Inequality for k	10-2(8k+6)>8k+3+2	$10 - 2 (8 k + 6) > 8 k + 3 + 2$
164577	Graph Using a Table of Values	y=3*2^x	$y = 3 \cdot 2^{x}$
164578	Write in Standard Form	x^2+9+x/6	$x^{2} + 9 + \frac{x}{6}$
164579	Simplify	(a^3b^3c^5)/(ab^6c^2)	$\frac{a^{3} b^{3} c^{5}}{a b^{6} c^{2}}$
164580	Simplify	(8x)/(9x-81)*(x^2-81)/(x^2+x-72)	$\frac{8 x}{9 x - 81} \cdot \frac{x^{2} - 81}{x^{2} + x - 72}$
164581	Graph	f^-1(x) = cube root of x+1	$f^{- 1} (x) = \sqrt[3]{x + 1}$
164582	Factor	(x^2+x-2)	$(x^{2} + x - 2)$
164583	Solve for m	-5n=13-3m	$- 5 n = 13 - 3 m$
164584	Simplify	(2+3)^2-16÷2	${(2 + 3)}^{2} - 16 \div 2$
164585	Find the Function	f(x)=b^x	$f (x) = b^{x}$
164586	Write in Standard Form	-10x^4-9x^2+5+(x^5)/3	$- 10 x^{4} - 9 x^{2} + 5 + \frac{x^{5}}{3}$
164587	Solve for t	((3-4t)-12)/2=2t+3/2	$\frac{(3 - 4 t) - 12}{2} = 2 t + \frac{3}{2}$
164588	Solve the Inequality for x	3/7(35x-14)<=(21x)/2+3	$\frac{3}{7} (35 x - 14) \leq \frac{21 x}{2} + 3$
164589	Solve for c	b/c=a	$\frac{b}{c} = a$
164590	Solve for x	5x-(x-18)=6-2(x+15)	$5 x - (x - 18) = 6 - 2 (x + 15)$
164591	Graph	h(x)=-f(x)+3	$h (x) = - f (x) + 3$
164592	Evaluate	2pi4	$2 \cdot π \cdot 4$
164593	Solve for k	-3(k+7)-5k+4=23	$- 3 (k + 7) - 5 k + 4 = 23$
164594	Write in Exponential Form	( fourth root of 10v)^5	${(\sqrt[4]{10 v})}^{5}$
164595	Simplify	cube root of (8h^4)/27	$\sqrt[3]{\frac{8 h^{4}}{27}}$
164596	Simplify	(x^2-4x-5)/(x^2-2x-15)*(7x)/(7x)	$\frac{x^{2} - 4 x - 5}{x^{2} - 2 x - 15} \cdot \frac{7 x}{7 x}$
164597	Solve the Inequality for a	a+18<7	$a + 18 < 7$
164598	Simplify	(5k)/(k-2)-k/(k+2)	$\frac{5 k}{k - 2} - \frac{k}{k + 2}$
164599	Solve the Inequality for n	-6n<-12	$- 6 n < - 12$
164600	Simplify	-x^2+2x-2x^2-3x+4+x^2	$- x^{2} + 2 x - 2 x^{2} - 3 x + 4 + x^{2}$