Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226201	Simplify the Radical Expression	( square root of 44a^2b)/( square root of 11b^7c^4)	$\frac{\sqrt{44 a^{2} b}}{\sqrt{11 b^{7} c^{4}}}$
226202	Multiply	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
226203	Solve for n	log base 3 of 1/9=n/3	$\log_{3} (\frac{1}{9}) = \frac{n}{3}$
226204	Factor by Grouping	x^3y^2+x^2y+x	$x^{3} y^{2} + x^{2} y + x$
226205	Factor	x^6-5x^4+4x^2	$x^{6} - 5 x^{4} + 4 x^{2}$
226206	Divide	(-4/3)÷12	$- \frac{4}{3} \div 12$
226207	Evaluate the Function	A(4)=2x^3+5	$A (4) = 2 x^{3} + 5$
226208	Solve for x	14*10^(0.5x)=100	$14 \cdot 10^{0.5 x} = 100$
226209	Simplify	square root of -1/18	$\sqrt{- \frac{1}{18}}$
226210	Simplify the Radical Expression	square root of 500+ square root of 20+11 square root of 5	$\sqrt{500} + \sqrt{20} + 11 \sqrt{5}$
226211	Simplify the Radical Expression	fifth root of square root of y^5	$\sqrt[5]{\sqrt{y^{5}}}$
226212	Find the Product	(32x^3y)/(5xy^2)*(15y)/(8x^2y^4)	$\frac{32 x^{3} y}{5 x y^{2}} \cdot \frac{15 y}{8 x^{2} y^{4}}$
226213	Solve for x	cube root of 6x-5- cube root of 3x+2=0	$\sqrt[3]{6 x - 5} - \sqrt[3]{3 x + 2} = 0$
226214	Simplify	r^7s^4s*r^3	$r^{7} \cdot s^{4} \cdot s \cdot r^{3}$
226215	Simplify	(8p^2-5p^4-2p^3)+(4p^3+2p^2-2p^4)	$(8 p^{2} - 5 p^{4} - 2 p^{3}) + (4 p^{3} + 2 p^{2} - 2 p^{4})$
226216	Rationalize the Denominator	1/(( square root of 2)/2)	$\frac{1}{\frac{\sqrt{2}}{2}}$
226217	Solve for x	2/3(x-4/5)=-88/15	$\frac{2}{3} (x - \frac{4}{5}) = - \frac{88}{15}$
226218	Evaluate	(x^4)/(x^4y^-2y^4)	$\frac{x^{4}}{x^{4} y^{- 2} y^{4}}$
226219	Simplify	5(3+ square root of 2)	$5 (3 + \sqrt{2})$
226220	Simplify	-d(9kd^5)^2	$- d {(9 k d^{5})}^{2}$
226221	Solve the System of Equations	x=y+2 -3x+3y=6	$x = y + 2$ $- 3 x + 3 y = 6$
226222	Rationalize the Denominator	(2 square root of 5r)/( square root of m^3)	$\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
226223	Find the Product	(x+(3+5i))^2	${(x + (3 + 5 i))}^{2}$
226224	Solve the System of Equations	3s-t-u=5 3s+2t-u=11 6s-3t+2u=-12	$3 s - t - u = 5$ $3 s + 2 t - u = 11$ $6 s - 3 t + 2 u = - 12$
226225	Divide Using Long Polynomial Division	(2x^4+2x^3-10x-9)÷(x^3+x^2-5)	$(2 x^{4} + 2 x^{3} - 10 x - 9) \div (x^{3} + x^{2} - 5)$
226226	Convert to a Decimal	0.5rad	$0.5$ radians
226227	Solve for x	(7-2x)/6=(x-5)/1	$\frac{7 - 2 x}{6} = \frac{x - 5}{1}$
226228	Simplify the Radical Expression	6/( square root of 8)	$\frac{6}{\sqrt{8}}$
226229	Simplify	-(a+h)^2+6(a+h)	$- {(a + h)}^{2} + 6 (a + h)$
226230	Graph	y=x^-3+3	$y = x^{- 3} + 3$
226231	Find the Domain and Range	f(x) = square root of x^2+1-2	$f (x) = \sqrt{x^{2} + 1} - 2$
226232	Simplify	m/(1/3+18/m)	$\frac{m}{\frac{1}{3} + \frac{18}{m}}$
226233	Solve for x	2-1/3x=1/6x+1	$2 - \frac{1}{3} x = \frac{1}{6} x + 1$
226234	Solve for x	y=x+1/x	$y = x + \frac{1}{x}$
226235	Simplify	Simplify 9 square root of 12+ square root of 32- square root of 72	Simplify $9 \sqrt{12} + \sqrt{32} - \sqrt{72}$
226236	Subtract	(x^2+9)-(x-9)	$(x^{2} + 9) - (x - 9)$
226237	Simplify the Radical Expression	x^(2/5)*x^(1/5)	$x^{\frac{2}{5}} \cdot x^{\frac{1}{5}}$
226238	Simplify	2* square root of 4	$2 \cdot \sqrt{4}$
226239	Solve for x	((x-12)(x+5))/((x-3)^3)<=0	$\frac{(x - 12) (x + 5)}{{(x - 3)}^{3}} \leq 0$
226240	Simplify	2a^2(3a-5)-6a(8a^2-2a+4)	$2 a^{2} (3 a - 5) - 6 a (8 a^{2} - 2 a + 4)$
226241	Simplify	(54m^6n^4)/(3m^2n)-10m^4n^3	$\frac{54 m^{6} n^{4}}{3 m^{2} n} - 10 m^{4} n^{3}$
226242	Solve for x	-3-2x+6=5x	$- 3 - 2 x + 6 = 5 x$
226243	Simplify the Radical Expression	-1/4 square root of 48x^3	$- \frac{1}{4} \sqrt{48 x^{3}}$
226244	Solve for x	5(x+3)+4x-3=-(2x-4)+2	$5 (x + 3) + 4 x - 3 = - (2 x - 4) + 2$
226245	Simplify	(2^x)/2	$\frac{2^{x}}{2}$
226246	Simplify	( fourth root of 2)^2	${(\sqrt[4]{2})}^{2}$
226247	Solve for x	- cube root of 5-2x=1	$- \sqrt[3]{5 - 2 x} = 1$
226248	Graph	y^2=2x , x=2y	$y^{2} = 2 x$ , $x = 2 y$
226249	Solve for x	x/4+16-2(x-1)=4	$\frac{x}{4} + 16 - 2 (x - 1) = 4$
226250	Graph	y=(2x+1)(2x+3)(2x-5)	$y = (2 x + 1) (2 x + 3) (2 x - 5)$
226251	Solve for z	1/4z-2/7=5/7	$\frac{1}{4} z - \frac{2}{7} = \frac{5}{7}$
226252	Multiply	square root of 2x^3* square root of 5x^3	$\sqrt{2 x^{3}} \cdot \sqrt{5 x^{3}}$
226253	Graph	f(x)=2*cos(x+pi)	$f (x) = 2 \cdot \cos (x + π)$
226254	Solve for x	x^3+x^2-2x-2=0	$x^{3} + x^{2} - 2 x - 2 = 0$
226255	Simplify	a^-4*(a^4b^3)^2	$a^{- 4} \cdot {(a^{4} b^{3})}^{2}$
226256	Simplify	-4(x^2-2xy+5y^2-3)	$- 4 (x^{2} - 2 x y + 5 y^{2} - 3)$
226257	Simplify	((x^-2y)/(y^-1))^-3	${(\frac{x^{- 2} y}{y^{- 1}})}^{- 3}$
226258	Graph	1-y^2=x^2	$1 - y^{2} = x^{2}$
226259	Simplify	-3/4x+5x	$- \frac{3}{4} x + 5 x$
226260	Simplify	((x-5)/6)÷((2x-10)/12)	$\frac{x - 5}{6} \div \frac{2 x - 10}{12}$
226261	Solve for x	-x^2+6x=x^2-2x	$- x^{2} + 6 x = x^{2} - 2 x$
226262	Simplify	-10(u+v)+8(u-1)-3(u+6)	$- 10 (u + v) + 8 (u - 1) - 3 (u + 6)$
226263	Solve for y	y+5x-7=0	$y + 5 x - 7 = 0$
226264	Graph	y<=3x-1 y<=x+3	$y \leq 3 x - 1$ $y \leq x + 3$
226265	Simplify	tan(180 degrees )	$\tan (180 °)$
226266	Solve for x	2 cube root of x+16=0	$2 \sqrt[3]{x} + 16 = 0$
226267	Factor	((x+1)^(2n)+4(x+1)^(2n+1)+6(x+1)^6-11)/(x(x+2))	$\frac{{(x + 1)}^{2 n} + 4 {(x + 1)}^{2 n + 1} + 6 {(x + 1)}^{6} - 11}{x (x + 2)}$
226268	Solve the System of Equations	y-2x=0 y+x=3	$y - 2 x = 0$ $y + x = 3$
226269	Simplify the Radical Expression	5^(1/2)*5^(1/2)	$5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}}$
226270	Solve the System of Inequalities	x<2 and x>-1	$x < 2$ and $x > - 1$
226271	Simplify	( cube root of 16- cube root of 54)/( cube root of 2)	$\frac{\sqrt[3]{16} - \sqrt[3]{54}}{\sqrt[3]{2}}$
226272	Solve the System of Equations	y=2 y=5/2x-3	$y = 2$ $y = \frac{5}{2} x - 3$
226273	Solve for x	natural log of x<=9	$\ln (x) \leq 9$
226274	Simplify	( fifth root of c^7)/( cube root of c^2)	$\frac{\sqrt[5]{c^{7}}}{\sqrt[3]{c^{2}}}$
226275	Simplify	(i square root of 2-5)/(i+ square root of 2)	$\frac{(i \sqrt{2} - 5)}{i + \sqrt{2}}$
226276	Solve for x	2 square root of 5 = square root of x	$2 \sqrt{5} = \sqrt{x}$
226277	Solve for x	16^x*64^(3-3x)=64	$16^{x} \cdot 64^{3 - 3 x} = 64$
226278	Solve the System of Equations	Solve the system of equations 3x+3y=9 and 5x-3y=7 using the Addition Method.	Solve the system of equations $3 x + 3 y = 9$ and $5 x - 3 y = 7$ using the Addition Method.
226279	Simplify	-8+b^2 by 5+b^2	$- 8 + b^{2}$ by $5 + b^{2}$
226280	Solve for s	square root of 2s+10=4	$\sqrt{2 s + 10} = 4$
226281	Simplify	square root of -81+3i	$\sqrt{- 81} + 3 i$
226282	Write in Standard Form	P(x)=x^3(-3x+x^2+7)	$P (x) = x^{3} (- 3 x + x^{2} + 7)$
226283	Graph	cos(theta)>0 and csc(theta)<0	$\cos (θ) > 0$ and $\csc (θ) < 0$
226284	Find the Exact Value	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
226285	Solve for x	3x-9=(-18)	$3 x - 9 = (- 18)$
226286	Solve for x	1/( log base 2 of x)+1/( log base 3 of x)=2	$\frac{1}{\log_{2} (x)} + \frac{1}{\log_{3} (x)} = 2$
226287	Rationalize the Denominator	( square root of 7- square root of 2)/( square root of 2)	$\frac{\sqrt{7} - \sqrt{2}}{\sqrt{2}}$
226288	Divide	( square root of 4)/(4 square root of 5)	$\frac{\sqrt{4}}{4 \sqrt{5}}$
226289	Find the Distance Between Two Points	(c,0) and (d,0)	$(c, 0)$ and $(d, 0)$
226290	Solve for x	((x+5)(x+1))/(x-4)>=0	$\frac{(x + 5) (x + 1)}{x - 4} \geq 0$
226291	Solve for y	\|5y+3\|=\|5y+7\|	$\| 5 y + 3 \| = \| 5 y + 7 \|$
226292	Evaluate the Function	f(5/x)=(6(5/x)+2)/(4(5/x)+3)	$f (\frac{5}{x}) = \frac{6 (\frac{5}{x}) + 2}{4 (\frac{5}{x}) + 3}$
226293	Simplify	(2/y)^4(4/y)^2	${(\frac{2}{y})}^{4} {(\frac{4}{y})}^{2}$
226294	Simplify	(9 square root of 3)÷( square root of 18)	$9 \sqrt{3} \div \sqrt{18}$
226295	Simplify	(4-8x^2+3x^4)+(2x+6x^4-7)	$(4 - 8 x^{2} + 3 x^{4}) + (2 x + 6 x^{4} - 7)$
226296	Solve the System of Inequalities	(m-8)/2<2 OR (3m+1)/2>-1	$\frac{m - 8}{2} < 2$ OR $\frac{3 m + 1}{2} > - 1$
226297	Solve for x	log of x- log of 5 = log of 2- log of x-3	$\log (x) - \log (5) = \log (2) - \log (x - 3)$
226298	Solve by Factoring	11x^2=x^2+8x	$11 x^{2} = x^{2} + 8 x$
226299	Solve for r	-1.3>=2.9-0.6r	$- 1.3 \geq 2.9 - 0.6 r$
226300	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,0) and has a slope of -1 ?	What is the equation of the line that passes through the point $(5, 0)$ and has a slope of $- 1$ ?