Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1201	Find the Domain	1/( square root of y)(1/( square root of x- square root of y)-1/( square root of x+ square root of y))	$\frac{1}{\sqrt{y}} (\frac{1}{\sqrt{x} - \sqrt{y}} - \frac{1}{\sqrt{x} + \sqrt{y}})$
1202	Graph	g(x)=- cube root of 2x	$g (x) = - \sqrt[3]{2 x}$
1203	Solve for f	4+10f=7(2f-4)	$4 + 10 f = 7 (2 f - 4)$
1204	Evaluate the Integral	integral of (x^3-3x+e^(3x)) with respect to x	$\int (x^{3} - 3 x + e^{3 x}) d x$
1205	Solve by Graphing	4x-4y=20 y=-5	$4 x - 4 y = 20$ $y = - 5$
1206	Simplify	(9x^2)/( fifth root of 27x^6)	$\frac{9 x^{2}}{\sqrt[5]{27 x^{6}}}$
1207	Simplify	cube root of square root of x^24	$\sqrt[3]{\sqrt[2]{x^{24}}}$
1208	Solve for x	(2x+3)/2=9/(x-1)	$\frac{2 x + 3}{2} = \frac{9}{x - 1}$
1209	Solve the Inequality for x	(5x-4)/(2x+1)>1	$\frac{5 x - 4}{2 x + 1} > 1$
1210	Simplify the Radical Expression	fourth root of 36w^6	$\sqrt[4]{36 w^{6}}$
1211	Simplify	(-4b^-2)^0	${(- 4 b^{- 2})}^{0}$
1212	Find the Derivative - d/dv	v=1/3pir^2h	$v = \frac{1}{3} π r^{2} h$
1213	Find the Domain	y/(y-6)+15/(y+6)	$\frac{y}{y - 6} + \frac{15}{y + 6}$
1214	Identify the Sequence	1/2 , 1/3 , 2/9 , 4/27	$\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{2}{9}$ , $\frac{4}{27}$
1215	Solve for x	(2^(2x+2))(2^(3x-7))=2^25	$(2^{2 x + 2}) (2^{3 x - 7}) = 2^{25}$
1216	Solve Using an Augmented Matrix	-2x_1-6x_2-3x_3=9 -x_1+x_2-x_3=1 x_1-x_2+2x_3=2	$- 2 x_{1} - 6 x_{2} - 3 x_{3} = 9$ $- x_{1} + x_{2} - x_{3} = 1$ $x_{1} - x_{2} + 2 x_{3} = 2$
1217	Simplify the Radical Expression	16/( fourth root of 16^3)	$\frac{16}{\sqrt[4]{16^{3}}}$
1218	Graph	x=f(y)	$x = f (y)$
1219	Factor	-6am^2+9m^3-12m^4	$- 6 a m^{2} + 9 m^{3} - 12 m^{4}$
1220	Evaluate the Limit	limit as x approaches 1 of (e^(x-1)-1)/(x-1)	$lim_{x \to 1} \frac{e^{x - 1} - 1}{x - 1}$
1221	Simplify	(y^(1/6))^3* square root of x	${(y^{\frac{1}{6}})}^{3} \cdot \sqrt{x}$
1222	Solve for x	a/x-b=c	$\frac{a}{x} - b = c$
1223	Simplify	(x^2+y)(x+y^2)	$(x^{2} + y) (x + y^{2})$
1224	Find the Product	((8x^2)/(2x^2))^2	${(\frac{8 x^{2}}{2 x^{2}})}^{2}$
1225	Solve for x	1-2/(x-3)=-12/(x^2-9)	$1 - \frac{2}{x - 3} = - \frac{12}{x^{2} - 9}$
1226	Find the Third Derivative	7^x+1102	$7^{x} + 1102$
1227	Simplify	-(16/81)^(3/4)	$- {(\frac{16}{81})}^{\frac{3}{4}}$
1228	Simplify	(9x^2+4y^2-12xy)/(4y^2-9x^2)	$\frac{9 x^{2} + 4 y^{2} - 12 x y}{4 y^{2} - 9 x^{2}}$
1229	Simplify the Radical Expression	( square root of 50)/( square root of 2)	$\frac{\sqrt{50}}{\sqrt{2}}$
1230	Simplify the Radical Expression	fourth root of p* square root of p^3	$\sqrt[4]{p} \cdot \sqrt{p^{3}}$
1231	Simplify	-(5c^2d^5)/(8cd^5f^0)	$- \frac{5 c^{2} d^{5}}{8 c d^{5} f^{0}}$
1232	Simplify	(3x-y^4)/(4y^5)-(y^4+3x)/(4y^5)	$\frac{3 x - y^{4}}{4 y^{5}} - \frac{y^{4} + 3 x}{4 y^{5}}$
1233	Find the Antiderivative	(x-1)/(x^2)	$\frac{x - 1}{x^{2}}$
1234	Solve for b	-9-b=8b	$- 9 - b = 8 b$
1235	Solve for y	y/3-a=b	$\frac{y}{3} - a = b$
1236	Solve for p	-7p-6+6p=2p+9	$- 7 p - 6 + 6 p = 2 p + 9$
1237	Simplify the Radical Expression	square root of square root of 625	$\sqrt{\sqrt{625}}$
1238	Find the Domain	y=1/( square root of x^2-x-2)	$y = \frac{1}{\sqrt{x^{2} - x - 2}}$
1239	Graph	2x-2y=x^2+9	$2 x - 2 y = x^{2} + 9$
1240	Simplify	7/(-3+ square root of -2)	$\frac{7}{- 3 + \sqrt{- 2}}$
1241	Simplify the Radical Expression	square root of 5x^2	$\sqrt{5 x^{2}}$
1242	Find the Antiderivative	1/x-3/(x^3)	$\frac{1}{x} - \frac{3}{x^{3}}$
1243	Solve for A	1/((x+1)(x+2))=A/(x+1)+B/(x+2)	$\frac{1}{(x + 1) (x + 2)} = \frac{A}{x + 1} + \frac{B}{x + 2}$
1244	Graph	f(x)=(3x)/4+3	$f (x) = \frac{3 x}{4} + 3$
1245	Find the Antiderivative	x*e^(2x)	$x \cdot e^{2 x}$
1246	Evaluate the Integral	integral of (2^x+2) with respect to x	$\int (2^{x} + 2) d x$
1247	Simplify	(11x^3)/(7x^(7/3))	$\frac{11 x^{3}}{7 x^{\frac{7}{3}}}$
1248	Evaluate	(-7/8-(3/4))-(3/2-9/8)	$(- \frac{7}{8} - (\frac{3}{4})) - (\frac{3}{2} - \frac{9}{8})$
1249	Solve the System of Equations	6x=4y-42 4x+y=5	$6 x = 4 y - 42$ $4 x + y = 5$
1250	Simplify	x square root of y+ square root of x^2y+2x square root of y	$x \sqrt{y} + \sqrt{x^{2} y} + 2 x \sqrt{y}$
1251	Evaluate	f(x)=3(2)^-1	$f (x) = 3 {(2)}^{- 1}$
1252	Simplify	( cube root of 3)/( square root of 3)	$\frac{\sqrt[3]{3}}{\sqrt{3}}$
1253	Simplify	((j^-1k^3)^-4)/(j^3k^3)	$\frac{{(j^{- 1} k^{3})}^{- 4}}{j^{3} k^{3}}$
1254	Solve for z	z-5=z^2-25	$z - 5 = z^{2} - 25$
1255	Simplify	(28^(3/5))^(5/6)	${(28^{\frac{3}{5}})}^{\frac{5}{6}}$
1256	Solve for f	8+5f=-4f+1+8f	$8 + 5 f = - 4 f + 1 + 8 f$
1257	Solve for x	b-x/10=a	$b - \frac{x}{10} = a$
1258	Simplify	( square root of 2-i square root of 2)( square root of 2+i square root of 2)	$(\sqrt{2} - i \sqrt{2}) (\sqrt{2} + i \sqrt{2})$
1259	Simplify	(( square root of 63+ square root of 112)* square root of 28)/42	$\frac{(\sqrt{63} + \sqrt{112}) \cdot \sqrt{28}}{42}$
1260	Write the Fraction in Simplest Form	(2^-4)/(4^0)	$\frac{2^{- 4}}{4^{0}}$
1261	Solve for d	-6+d=7+3d+3	$- 6 + d = 7 + 3 d + 3$
1262	Simplify	(-3^-2)/(4^-1)	$\frac{- 3^{- 2}}{4^{- 1}}$
1263	Find the Standard Deviation	1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9	$1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $7$ , $8$ , $9$
1264	Simplify	- square root of -25x^12y^8	$- \sqrt{- 25 x^{12} y^{8}}$
1265	Graph	y>x+3 y<3x-2	$y > x + 3$ $y < 3 x - 2$
1266	Solve for n	-9n-10=5n+8+10	$- 9 n - 10 = 5 n + 8 + 10$
1267	Find the Roots (Zeros)	x^3+x^2-22x-40=(x+2)(x+4)(x-5)	$x^{3} + x^{2} - 22 x - 40 = (x + 2) (x + 4) (x - 5)$
1268	Find the Domain and Range	g(x)=- cube root of 2x	$g (x) = - \sqrt[3]{2 x}$
1269	Simplify	2ab^2 square root of (200a^2b^5c^11)/(c^11)	$2 a b^{2} \sqrt{\frac{200 a^{2} b^{5} c^{11}}{c^{11}}}$
1270	Find the Domain	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{x - 3}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
1271	Find the Domain	((a^2-4)/(x^2-9))÷((a^2-2a)/(xy+3y))+(2-y)/(x-3)	$\frac{a^{2} - 4}{x^{2} - 9} \div \frac{a^{2} - 2 a}{x y + 3 y} + \frac{2 - y}{x - 3}$
1272	Graph	2y+6>4x	$2 y + 6 > 4 x$
1273	Solve for c	8(c+10)=9c	$8 (c + 10) = 9 c$
1274	Evaluate	cube root of square root of 64	$\sqrt[3]{\sqrt[2]{64}}$
1275	Find the Domain	(x^2+2x-3)/(2x^2+x-3)	$\frac{x^{2} + 2 x - 3}{2 x^{2} + x - 3}$
1276	Solve for y	3y(4y-1)-2y(6y-5)=9y-8(3+y)	$3 y (4 y - 1) - 2 y (6 y - 5) = 9 y - 8 (3 + y)$
1277	Simplify	8z+x-5-9z+2	$8 z + x - 5 - 9 z + 2$
1278	Convert to Polar	y^2-8x-16=0	$y^{2} - 8 x - 16 = 0$
1279	Expand the Logarithmic Expression	natural log of 1/( square root of 7x-3)	$\ln (\frac{1}{\sqrt{7 x - 3}})$
1280	Find the Exact Value	sec(-420 degrees )	$\sec (- 420 °)$
1281	Solve for X	\|X/(X-1)\|=4/X	$\| \frac{X}{X - 1} \| = \frac{4}{X}$
1282	Solve for X	X^2+3X=18	$X^{2} + 3 X = 18$
1283	Find the Domain	a/(2a-b)+(3a-b)/(b-2a)	$\frac{a}{2 a - b} + \frac{3 a - b}{b - 2 a}$
1284	Find the Antiderivative	natural log of x+1	$\ln (x + 1)$
1285	Solve the Inequality for x	cube root of x-4<=5	$\sqrt[3]{x - 4} \leq 5$
1286	Simplify	(c^3)^2(-3c^5)^2	${(c^{3})}^{2} {(- 3 c^{5})}^{2}$
1287	Find the Antiderivative	1/(x^2-3x+2)	$\frac{1}{x^{2} - 3 x + 2}$
1288	Solve for z	-7(7z-1)=7-4z	$- 7 (7 z - 1) = 7 - 4 z$
1289	Simplify	(-5^8)/(-5^4)	$\frac{- 5^{8}}{- 5^{4}}$
1290	Simplify the Radical Expression	( square root of 5)^2	${(\sqrt{5})}^{2}$
1291	Solve the Inequality for v	-6v>-72	$- 6 v > - 72$
1292	Solve for z	-7+3z=-2z+5+8z	$- 7 + 3 z = - 2 z + 5 + 8 z$
1293	Factor	-mk-nk	$- m k - n k$
1294	Solve for m	-10-4m=-3m	$- 10 - 4 m = - 3 m$
1295	Solve for v	p=iv	$p = i v$
1296	Simplify	((q^-1r^3)/(qr^-2))^-5	${(\frac{q^{- 1} r^{3}}{q r^{- 2}})}^{- 5}$
1297	Solve for q	0.5(2q+1)=0.75q	$0.5 (2 q + 1) = 0.75 q$
1298	Simplify	(3/2a^2-2ab+2/3b^2)/(1/4a^2-1/9b^2)+(6b)/(3/4a+1/2b)	$\frac{\frac{3}{2} a^{2} - 2 a b + \frac{2}{3} b^{2}}{\frac{1}{4} a^{2} - \frac{1}{9} b^{2}} + \frac{6 b}{\frac{3}{4} a + \frac{1}{2} b}$
1299	Find the Exact Value	arcsin((11pi)/2)	$\arcsin (\frac{11 π}{2})$
1300	Solve the Inequality for r	13>18+r	$13 > 18 + r$