Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211501	Simplify	1/(b^-7*b^5)	$\frac{1}{b^{- 7} \cdot b^{5}}$
211502	Convert to a Decimal	-5pirad	$- 5 π$ radians
211503	Solve for x	2/(x+2)-1/x=-4/(x(x+2))	$\frac{2}{x + 2} - \frac{1}{x} = \frac{- 4}{x (x + 2)}$
211504	Simplify	((a^(2/3)b)/(ab^(3/4)))^3	${(\frac{a^{\frac{2}{3}} b}{a b^{\frac{3}{4}}})}^{3}$
211505	Simplify	(x+3)^3-9x(x+3)	${(x + 3)}^{3} - 9 x (x + 3)$
211506	Solve for x	(2x)/5=(x-1)/4	$\frac{2 x}{5} = \frac{x - 1}{4}$
211507	Solve for m	natural log of m+3- natural log of 2m-1 = natural log of 4	$\ln (m + 3) - \ln (2 m - 1) = \ln (4)$
211508	Solve for x	4x(2x+1)-5(2x+1)=0	$4 x (2 x + 1) - 5 (2 x + 1) = 0$
211509	Convert to a Decimal	-450deg	$- 450$ degrees
211510	Solve for x	1/2x^5=512	$\frac{1}{2} x^{5} = 512$
211511	Solve for x	square root of 2x^2-121=x	$\sqrt{2 x^{2} - 121} = x$
211512	Simplify	(2f^0)/(7g^-10)	$\frac{2 f^{0}}{7 g^{- 10}}$
211513	Simplify	(x^2+18x+81)/((x+9)^4 square root of x+9)	$\frac{x^{2} + 18 x + 81}{{(x + 9)}^{4} \sqrt{x + 9}}$
211514	Simplify	((25x)^(3/2))/(5x^(1/2))	$\frac{{(25 x)}^{\frac{3}{2}}}{5 x^{\frac{1}{2}}}$
211515	Graph	y=3+x^-1	$y = 3 + x^{- 1}$
211516	Simplify	(a+b+c+d)^2	${(a + b + c + d)}^{2}$
211517	Simplify	( square root of -4+ square root of -9)( square root of -4- square root of -9)	$(\sqrt{- 4} + \sqrt{- 9}) (\sqrt{- 4} - \sqrt{- 9})$
211518	Multiply	cube root of x* square root of x	$\sqrt[3]{x} \cdot \sqrt{x}$
211519	Divide	(3v^3+v^2+2v)/(9v^3)	$\frac{3 v^{3} + v^{2} + 2 v}{9 v^{3}}$
211520	Solve for h	18+7h^(1/2)=12	$18 + 7 h^{\frac{1}{2}} = 12$
211521	Graph	4x+y=6x-1	$4 x + y = 6 x - 1$
211522	Simplify	-1/5z^2+3/5z^2	$- \frac{1}{5} z^{2} + \frac{3}{5} z^{2}$
211523	Find All Complex Solutions	square root of x+5+x=7	$\sqrt{x + 5} + x = 7$
211524	Solve for x	-6x+14=-2^x+6	$- 6 x + 14 = - 2^{x} + 6$
211525	Evaluate	5x^6=30	$5 x^{6} = 30$
211526	Solve for b	(a-b)/4=L	$\frac{a - b}{4} = L$
211527	Simplify	1/4(8-6x+12)	$\frac{1}{4} (8 - 6 x + 12)$
211528	Write in Standard Form	(9x^2-8)+(9x^2+9x+3)	$(9 x^{2} - 8) + (9 x^{2} + 9 x + 3)$
211529	Solve the Inequality for x	x^2+x>0	$x^{2} + x > 0$
211530	Find All Complex Solutions	-2(11-12x)=-4(1-6x)	$- 2 (11 - 12 x) = - 4 (1 - 6 x)$
211531	Solve the Rational Equation for x	square root of x+2=x	$\sqrt{x + 2} = x$
211532	Find the Product	xy^2(x^2+3xy+9)	$x y^{2} (x^{2} + 3 x y + 9)$
211533	Solve the Inequality for x	2x^2-6x-133>7	$2 x^{2} - 6 x - 133 > 7$
211534	Write in Exponential Form	square root of a* square root of b	$\sqrt{a} \cdot \sqrt{b}$
211535	Graph	\|x\|+y>=0	$\| x \| + y \geq 0$
211536	Graph	((x-i)(2x+i))/(x-i)	$\frac{(x - i) (2 x + i)}{(x - i)}$
211537	Solve for v	5v^2+2=-5	$5 v^{2} + 2 = - 5$
211538	Solve for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$ ?
211539	Simplify	(2^2y^5)^-3	${(2^{2} y^{5})}^{- 3}$
211540	Find All Complex Solutions	cos(theta)^2+sin(theta)^2=1	$\cos^{2} (θ) + \sin^{2} (θ) = 1$
211541	Solve the Inequality for x	x/4-1/5<=x/5+1	$\frac{x}{4} - \frac{1}{5} \leq \frac{x}{5} + 1$
211542	Convert to a Percentage	45 is what percent of 60 ?	$45$ is what percent of $60$ ?
211543	Solve for k	-2.7+1.9k=1.5-1.2k+k	$- 2.7 + 1.9 k = 1.5 - 1.2 k + k$
211544	Multiply	x(-9x^2-5x+9)	$x (- 9 x^{2} - 5 x + 9)$
211545	Solve the System of Equations	x^2+y^2=16 x^2-4x+y^2=12	$x^{2} + y^{2} = 16$ $x^{2} - 4 x + y^{2} = 12$
211546	Multiply	(x^2+5x+4)/(x^2-13x+40)*(x-8)/(x^2-1)	$\frac{x^{2} + 5 x + 4}{x^{2} - 13 x + 40} \cdot \frac{x - 8}{x^{2} - 1}$
211547	Solve for n	1n+1.50=0.50n+4.50	$1 n + 1.5 = 0.5 n + 4.5$
211548	Solve for u	u/12=6/8	$\frac{u}{12} = \frac{6}{8}$
211549	Graph	f(x)=1/3 square root of x+2	$f (x) = \frac{1}{3} \sqrt{x + 2}$
211550	Solve the Inequality for x	5^(2x)<125^(x-5)	$5^{2 x} < 125^{x - 5}$
211551	Evaluate	2sin(15 degrees )cos(15 degrees )	$2 \sin (15 °) \cos (15 °)$
211552	Solve the Rational Equation for x	(3x-1)^(1/5)=2	${(3 x - 1)}^{\frac{1}{5}} = 2$
211553	Solve for x	cube root of 2x-3 = cube root of 2-x	$\sqrt[3]{2 x - 3} = \sqrt[3]{2 - x}$
211554	Evaluate	(10 square root of 3)/3*2	$\frac{10 \sqrt{3}}{3} \cdot 2$
211555	Solve for y	(y-2)^2-10(y-2)+9=0	${(y - 2)}^{2} - 10 (y - 2) + 9 = 0$
211556	Find All Complex Solutions	x^4=-2+2 square root of 3i	$x^{4} = - 2 + 2 \sqrt{3} i$
211557	Simplify	x/( square root of 12)	$\frac{x}{\sqrt{12}}$
211558	Solve for x	3x=-x^2	$3 x = - x^{2}$
211559	Solve Using the Quadratic Formula	16(7-3x)^2+13=17	$16 {(7 - 3 x)}^{2} + 13 = 17$
211560	Simplify	c^3+c^2+2c-3c^3-c^2-4c	$c^{3} + c^{2} + 2 c - 3 c^{3} - c^{2} - 4 c$
211561	Multiply	square root of -5* square root of 5	$\sqrt{- 5} \cdot \sqrt{5}$
211562	Solve for m	1/10m+1/2=-1/2m-1/2	$\frac{1}{10} m + \frac{1}{2} = - \frac{1}{2} m - \frac{1}{2}$
211563	Solve the Inequality for y	5>-2/-5y-3	$5 > \frac{- 2}{- 5} y - 3$
211564	Solve for t	S=P+Prt for t	$S = P + P r t$ for $t$
211565	Simplify	fourth root of 16x^10* square root of 81x	$\sqrt[4]{16 x^{10}} \cdot \sqrt{81 x}$
211566	Solve for x	x+2x^2-4=-7x+6	$x + 2 x^{2} - 4 = - 7 x + 6$
211567	Solve for θ	sec(theta)=undefined	$\sec (θ) = u n d e f i n e d$
211568	Simplify	((3x^4)/(y^-2))^5	${(\frac{3 x^{4}}{y^{- 2}})}^{5}$
211569	Solve for x	log base 11 of x^2+5x-108 = log base 11 of 28x	$\log_{11} (x^{2} + 5 x - 108) = \log_{11} (28 x)$
211570	Find All Complex Solutions	3^(x+1)+3^x=12	$3^{x + 1} + 3^{x} = 12$
211571	Simplify	(2^(2x)-2^x)/(2^x-1)	$\frac{2^{2 x} - 2^{x}}{2^{x} - 1}$
211572	Graph	Graph x=-5	Graph $x = - 5$
211573	Simplify	P(x)=x^2(b^2x+a^2)+ab(x^5+1)	$P (x) = x^{2} (b^{2} x + a^{2}) + a b (x^{5} + 1)$
211574	Simplify	(m^(1/5)n^(1/7))/(m^(1/4)n^(2/7))	$\frac{m^{\frac{1}{5}} n^{\frac{1}{7}}}{m^{\frac{1}{4}} n^{\frac{2}{7}}}$
211575	Evaluate	(1-2+3)4^5+67-8	$(1 - 2 + 3) \cdot 4^{5} + 6 \cdot 7 - 8$
211576	Evaluate	f(3x)=x/(x^2+1)	$f (3 x) = \frac{x}{x^{2} + 1}$
211577	Simplify	x/4+(3x)/2	$\frac{x}{4} + \frac{3 x}{2}$
211578	Find the Product	x^3(x^2+5x+1)	$x^{3} (x^{2} + 5 x + 1)$
211579	Solve for x	log base y of x+2- log base y of x-1 = log base y of 4	$\log_{y} (x + 2) - \log_{y} (x - 1) = \log_{y} (4)$
211580	Simplify	2/(3x)*(3x)/2	$\frac{2}{3 x} \cdot \frac{3 x}{2}$
211581	Solve the System of Equations	2p-q+4r=11 p+2q-6r=-11 3p-2q-10r=11	$2 p - q + 4 r = 11$ $p + 2 q - 6 r = - 11$ $3 p - 2 q - 10 r = 11$
211582	Simplify	(7x-12x^4y^4)+(-11x^3y^2+6x-x^4y^4)-(7x^4y^4-12x^3y^2)	$(7 x - 12 x^{4} y^{4}) + (- 11 x^{3} y^{2} + 6 x - x^{4} y^{4}) - (7 x^{4} y^{4} - 12 x^{3} y^{2})$
211583	Simplify	square root of 24x* square root of 18y* square root of 15y	$\sqrt{24 x} \cdot \sqrt{18 y} \cdot \sqrt{15 y}$
211584	Simplify	(4jk^2-2j^3k^4)/(2jk)	$\frac{4 j k^{2} - 2 j^{3} k^{4}}{2 j k}$
211585	Solve for x	(x+4)/3-2/x=1	$\frac{x + 4}{3} - \frac{2}{x} = 1$
211586	Find the Inverse	(x+4)^(1/4)	${(x + 4)}^{\frac{1}{4}}$
211587	Divide Using Synthetic Division	(2x^3-54)÷(x+3)	$(2 x^{3} - 54) \div (x + 3)$
211588	Find the Roots (Zeros)	8(x-2)^3=0	$8 {(x - 2)}^{3} = 0$
211589	Solve for x	-28=-7(3x+4)+21x	$- 28 = - 7 (3 x + 4) + 21 x$
211590	Evaluate	2(3)^2-(7)^1+3(3)^0	$2 {(3)}^{2} - {(7)}^{1} + 3 {(3)}^{0}$
211591	Solve for s	square root of s+31=9/( square root of s+31)	$\sqrt{s + 31} = \frac{9}{\sqrt{s + 31}}$
211592	Simplify	1/x+1/(xy)	$\frac{1}{x} + \frac{1}{x y}$
211593	Simplify	i^13i^14i^22	$i^{13} \cdot i^{14} \cdot i^{22}$
211594	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x-10	$f (x) = 9 x - 10$
211595	Graph	-3(7n+3)<6n	$- 3 (7 n + 3) < 6 n$
211596	Simplify	(5x^2+15x)/(x^2+6x+9)	$\frac{5 x^{2} + 15 x}{x^{2} + 6 x + 9}$
211597	Simplify	(2x)/( cube root of 2x)	$\frac{2 x}{\sqrt[3]{2 x}}$
211598	Simplify the Radical Expression	( cube root of 270x^20)/( cube root of 5x)	$\frac{\sqrt[3]{270 x^{20}}}{\sqrt[3]{5 x}}$
211599	Simplify	2x^-5*xy^3	$2 x^{- 5} \cdot x y^{3}$
211600	Solve for x	5(4+2x)-(8x-12)=68	$5 (4 + 2 x) - (8 x - 12) = 68$