Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
160501	Solve for a	69=13-7/12a	$69 = 13 - \frac{7}{12} a$
160502	Find the Exact Value	fourth root of -81	$\sqrt[4]{- 81}$
160503	Find f(g(x))	f(x)=x+3 , g(x)=2x^2-5x-3	$f (x) = x + 3$ , $g (x) = 2 x^{2} - 5 x - 3$
160504	Solve for θ	tan(theta)+ square root of 3=0	$\tan (θ) + \sqrt{3} = 0$
160505	Find the Exact Value	sin(195 degrees )	$\sin (195 °)$
160506	Graph Using a Table of Values	y=(1/5)^x	$y = {(\frac{1}{5})}^{x}$
160507	Evaluate	(1/x)^2	${(\frac{1}{x})}^{2}$
160508	Simplify	25-( square root of 16-1)*(3-9)^2	$25 - (\sqrt{16} - 1) \cdot {(3 - 9)}^{2}$
160509	Find the Holes in the Graph	f(x)=(x-1)/(x^2-4x+3)	$f (x) = \frac{x - 1}{x^{2} - 4 x + 3}$
160510	Simplify	(-66+27i)/(-6-3i)	$\frac{- 66 + 27 i}{- 6 - 3 i}$
160511	Solve for A	d-4h=3QA	$d - 4 h = 3 Q A$
160512	Simplify	(15(x^-2)^3)/(3(x^-4)^-3)	$\frac{15 {(x^{- 2})}^{3}}{3 {(x^{- 4})}^{- 3}}$
160513	Solve for x	13=11-4x	$13 = 11 - 4 x$
160514	Solve the Inequality for w	9+w>7	$9 + w > 7$
160515	Solve for x	10=3/5(x+5)	$10 = \frac{3}{5} (x + 5)$
160516	Find the x and y Intercepts	x^2-9x-24y+20=0	$x^{2} - 9 x - 24 y + 20 = 0$
160517	Simplify	square root of (72x^16)/(50x^36)	$\sqrt{\frac{72 x^{16}}{50 x^{36}}}$
160518	Solve for v	-2v+v=3	$- 2 v + v = 3$
160519	Solve the Inequality for w	53w+13<56w+16	$53 w + 13 < 56 w + 16$
160520	Solve for x	\|x+1\|>=3	$\| x + 1 \| \geq 3$
160521	Solve for x	9^x-1=2	$9^{x} - 1 = 2$
160522	Solve the Inequality for v	-42v+33<8v+91	$- 42 v + 33 < 8 v + 91$
160523	Combine Like Terms	12r+5+3r-5	$12 r + 5 + 3 r - 5$
160524	Graph	g(x)=-f(x-2)	$g (x) = - f (x - 2)$
160525	Find the Exact Value	natural log of 1/e	$\ln (\frac{1}{e})$
160526	Solve for z	-17=-25+1/3z	$- 17 = - 25 + \frac{1}{3} z$
160527	Simplify	( square root of 18)/( square root of 8)	$\frac{\sqrt{18}}{\sqrt{8}}$
160528	Multiply	-1/2*-3	$- \frac{1}{2} \cdot - 3$
160529	Solve for x	4(8^x)=64	$4 (8^{x}) = 64$
160530	Graph Using a Table of Values	f(x)=4/3(3)^x	$f (x) = \frac{4}{3} {(3)}^{x}$
160531	Simplify	9a+8-2a-3-5a	$9 a + 8 - 2 a - 3 - 5 a$
160532	Write in Slope-Intercept Form	12+4y=-4x	$12 + 4 y = - 4 x$
160533	Simplify	((-10n^2)^3(4n^5)^2)/((2n^8)^2)	$\frac{{(- 10 n^{2})}^{3} {(4 n^{5})}^{2}}{{(2 n^{8})}^{2}}$
160534	Solve the Inequality for r	3+r/-4<=6	$3 + \frac{r}{- 4} \leq 6$
160535	Factor	1+14x^2y+49x^4y^2	$1 + 14 x^{2} y + 49 x^{4} y^{2}$
160536	Solve the Inequality for x	(x+2)(x-3)<0	$(x + 2) (x - 3) < 0$
160537	Graph	-1/2x>=4	$- \frac{1}{2} x \geq 4$
160538	Find a,b,c	9e-7=7e-11	$9 e - 7 = 7 e - 11$
160539	Simplify	x^4 square root of x^2	$x^{4} \sqrt{x^{2}}$
160540	Evaluate	1/2 square root of 2	$\frac{1}{2} \sqrt{2}$
160541	Find the Exact Value	cot(arcsin(u))	$\cot (\arcsin (u))$
160542	Simplify	(2x+5y-z)+(-6x-4y+7z)	$(2 x + 5 y - z) + (- 6 x - 4 y + 7 z)$
160543	Solve for n	3n-5p+2n=10p	$3 n - 5 p + 2 n = 10 p$
160544	Solve for x	x/5+1/4=x/2	$\frac{x}{5} + \frac{1}{4} = \frac{x}{2}$
160545	Solve for x	-2/3(x+12)+2/3x=-5/4x+2	$- \frac{2}{3} (x + 12) + \frac{2}{3} x = - \frac{5}{4} x + 2$
160546	Graph	f(x)<=0	$f (x) \leq 0$
160547	Evaluate	-\|-7 3/5\|	$- \| - 7 \frac{3}{5} \|$
160548	Solve the Inequality for c	-32c+12<=-66c-16	$- 32 c + 12 \leq - 66 c - 16$
160549	Solve for x	log of 5(x+6) = log of 8(9x)	$\log (5 (x + 6)) = \log (8 (9 x))$
160550	Graph	z=x^2+y^2	$z = x^{2} + y^{2}$
160551	Solve for x	(9/8)^(3x+12)=1	${(\frac{9}{8})}^{3 x + 12} = 1$
160552	Solve for G	P=2G+2M	$P = 2 G + 2 M$
160553	Simplify	(2v)^2*2v^2	${(2 v)}^{2} \cdot 2 v^{2}$
160554	Solve for f	f+3pi=7pi	$f + 3 π = 7 π$
160555	Solve the Inequality for x	-x^2+4x-3>=0	$- x^{2} + 4 x - 3 \geq 0$
160556	Find the Domain and Range	A	$A$
160557	Multiply	2x*3x^2	$2 x \cdot 3 x^{2}$
160558	Solve for x	u=kx+yx	$u = k x + y x$
160559	Simplify	(-14+3/2b)-(1+8/2b)	$(- 14 + \frac{3}{2} b) - (1 + \frac{8}{2} b)$
160560	Solve for x	(x-4)/8=(2x-9)/5	$\frac{x - 4}{8} = \frac{2 x - 9}{5}$
160561	Evaluate	square root of 2x^2	$\sqrt{2 x^{2}}$
160562	Graph	f(x)=-2-x if x<=1; -2+2x if x>1	$f (x) = {\begin{cases} - 2 - x & x \leq 1 \\ - 2 + 2 x & x > 1 \end{cases}$
160563	Solve for b	-2(bx-5)=16	$- 2 (b x - 5) = 16$
160564	Graph	y>=x+4 y>=5-x	$y \geq x + 4$ $y \geq 5 - x$
160565	Graph	x-y<=0	$x - y \leq 0$
160566	Solve for x	(x+4)/(x-1)=(-x^2+3x+12)/((x+3)(x-1))	$\frac{x + 4}{x - 1} = \frac{- x^{2} + 3 x + 12}{(x + 3) (x - 1)}$
160567	Divide	(3x)÷x	$3 x \div x$
160568	Graph	3y^2=24x	$3 y^{2} = 24 x$
160569	Solve for z	40=19+1/4z	$40 = 19 + \frac{1}{4} z$
160570	Expand the Logarithmic Expression	log of z/3(t-2)	$\log (\frac{z}{3} (t - 2))$
160571	Solve the System of Inequalities	m-2<-8 or m/8>1	$m - 2 < - 8$ or $\frac{m}{8} > 1$
160572	Simplify	(4+ square root of z)( square root of 10+ square root of z)	$(4 + \sqrt{z}) (\sqrt{10} + \sqrt{z})$
160573	Graph	[0,2pi)	$[0, 2 π)$
160574	Solve for b	b-3/16=5/16	$b - \frac{3}{16} = \frac{5}{16}$
160575	Simplify	((-4m^3)^2(5m^4)^3)/((-10m^6)^3)	$\frac{{(- 4 m^{3})}^{2} {(5 m^{4})}^{3}}{{(- 10 m^{6})}^{3}}$
160576	Simplify	( square root of 22)(5 square root of 2)	$(\sqrt{22}) (5 \sqrt{2})$
160577	Solve for x	9=8/5(x+5)	$9 = \frac{8}{5} (x + 5)$
160578	Solve the System of Inequalities	v+8<3 or -8v<-40	$v + 8 < 3$ or $- 8 v < - 40$
160579	Solve the Inequality for m	6>=m-1	$6 \geq m - 1$
160580	Evaluate	f^-1(0)	$f^{- 1} (0)$
160581	Find the Distance Between Two Points	(-6,-5) and (2,0)	$(- 6, - 5)$ and $(2, 0)$
160582	Simplify	(2^-7*5^5)^2	${(2^{- 7} \cdot 5^{5})}^{2}$
160583	Simplify	-6/4	$\frac{- 6}{4}$
160584	Solve for x	4kx+10kx=7	$4 k x + 10 k x = 7$
160585	Find the Holes in the Graph	f(x)=(x-3)/(2x+7)	$f (x) = \frac{x - 3}{2 x + 7}$
160586	Solve for b₂	A=1/2(b_1+b_2)h	$A = \frac{1}{2} (b_{1} + b_{2}) h$
160587	Solve for p	(p^2*p^4)^(1/3)+5=13	${(p^{2} \cdot p^{4})}^{\frac{1}{3}} + 5 = 13$
160588	Solve the Inequality for n	-2(5+6n)<6(8-2n)	$- 2 (5 + 6 n) < 6 (8 - 2 n)$
160589	Describe the Transformation	g(x)=f(2x)	$g (x) = f (2 x)$
160590	Subtract	-1/2-1/2	$- \frac{1}{2} - \frac{1}{2}$
160591	Solve for x	2x^2+8x=x^2-16	$2 x^{2} + 8 x = x^{2} - 16$
160592	Solve for x	(x^2-3)/x=2	$\frac{x^{2} - 3}{x} = 2$
160593	Solve the System of Equations	y=3x y=x^2-4	$y = 3 x$ $y = x^{2} - 4$
160594	Solve for θ	sin(theta)=3/5	$\sin (θ) = \frac{3}{5}$
160595	Solve for b	Hb=f+4g	$H b = f + 4 g$
160596	Solve for m	6m-8=6(m+1)+2	$6 m - 8 = 6 (m + 1) + 2$
160597	Solve the Inequality for x	((x+2)(x-3))/((x-2)(x+5))<=0	$\frac{(x + 2) (x - 3)}{(x - 2) (x + 5)} \leq 0$
160598	Graph	r=sin(theta)	$r = \sin (θ)$
160599	Solve for n	14n+6p-8n=18p	$14 n + 6 p - 8 n = 18 p$
160600	Simplify	(3/4 square root of 15)(16 square root of 5)	$(\frac{3}{4} \sqrt{15}) (16 \sqrt{5})$