Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1401	Simplify	(1/2a^3b^4c^5)^3	${(\frac{1}{2} a^{3} b^{4} c^{5})}^{3}$
1402	Solve for j	6(j-10)=-8j+10	$6 (j - 10) = - 8 j + 10$
1403	Find the Domain	(2a+b)/(2a^2-ab)-(16a)/(4a^2-b^2)-(2a-b)/(2a^2+ab)	$\frac{2 a + b}{2 a^{2} - a b} - \frac{16 a}{4 a^{2} - b^{2}} - \frac{2 a - b}{2 a^{2} + a b}$
1404	Find the Asymptotes	y=(1-3x)/(2+x)	$y = \frac{1 - 3 x}{2 + x}$
1405	Solve for x	3x+1/2(2x+6)=6x+1	$3 x + \frac{1}{2} (2 x + 6) = 6 x + 1$
1406	Find the Product	4x^3y^3*(3x^3-7xy^2+2xy-y)	$4 x^{3} y^{3} \cdot (3 x^{3} - 7 x y^{2} + 2 x y - y)$
1407	Solve for x	2x+4(3-2x)=(3(2x+2))/6+4	$2 x + 4 (3 - 2 x) = \frac{3 (2 x + 2)}{6} + 4$
1408	Solve for x	(4^(x/2))(4^(x/5))=4^14	$(4^{\frac{x}{2}}) (4^{\frac{x}{5}}) = 4^{14}$
1409	Simplify the Radical Expression	cube root of 7/4	$\sqrt[3]{\frac{7}{4}}$
1410	Graph	y<=1/2x+3 y<=3x-4	$y \leq \frac{1}{2} x + 3$ $y \leq 3 x - 4$
1411	Simplify	8x^2y^0z^-1	$8 x^{2} y^{0} z^{- 1}$
1412	Simplify the Radical Expression	2 cube root of 192p^7q^18	$2 \sqrt[3]{192 p^{7} q^{18}}$
1413	Find Reduced Row Echelon Form	[[0,1,-2,1,1,5],[-2,3,-6,0,6,9],[1,1,-2,0,2,3]]	$[\begin{array}{c} 0 & 1 & - 2 & 1 & 1 & 5 \\ - 2 & 3 & - 6 & 0 & 6 & 9 \\ 1 & 1 & - 2 & 0 & 2 & 3 \end{array}]$
1414	Simplify	((x+1)-y)^3	${((x + 1) - y)}^{3}$
1415	Simplify	(x^2-xy)/y*(y^2)/x	$\frac{x^{2} - x y}{y} \cdot \frac{y^{2}}{x}$
1416	Simplify	(3m^-3r^4p^2)/(12t^4)	$\frac{3 m^{- 3} r^{4} p^{2}}{12 t^{4}}$
1417	Find the Concavity	x^4+8x^3+18x^2	$x^{4} + 8 x^{3} + 18 x^{2}$
1418	Solve for y	y = square root of 2-y	$y = \sqrt{2 - y}$
1419	Simplify	-(25x^3y^3)/(14a^2b)*(-(21ab)/(10x^2y))	$- \frac{25 x^{3} y^{3}}{14 a^{2} b} \cdot (- \frac{21 a b}{10 x^{2} y})$
1420	Solve for x	square root of x+ square root of 2x = square root of 2x	$\sqrt{x + \sqrt{2 x}} = \sqrt{2 x}$
1421	Solve for n	6n-7(n+1)=6n	$6 n - 7 (n + 1) = 6 n$
1422	Evaluate the Function	f(x)=0.5^x for x=-3	$f (x) = {0.5}^{x}$ for $x = - 3$
1423	Simplify	(sin(theta)sec(theta))/(cos(theta)^2)	$\frac{\sin (θ) \sec (θ)}{\cos^{2} (θ)}$
1424	Solve the System of Equations	8y=-10x y^2=2x^2-7	$8 y = - 10 x$ $y^{2} = 2 x^{2} - 7$
1425	Find the Derivative - d/dx	y=sech(x)tanh(x)	$y = sech (x) \tanh (x)$
1426	Simplify	(p^12t^3r)/(p^2tr)	$\frac{p^{12} t^{3} r}{p^{2} t r}$
1427	Evaluate	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
1428	Evaluate	log base 2 of (2^4)/(2^10)	$\log_{2} (\frac{2^{4}}{2^{10}})$
1429	Find the Roots (Zeros)	12x^4-48x^3-8x^2+32x	$12 x^{4} - 48 x^{3} - 8 x^{2} + 32 x$
1430	Solve for q	-10+10q-10=10+4q	$- 10 + 10 q - 10 = 10 + 4 q$
1431	Solve for s	-6s+8=-6s+5-s	$- 6 s + 8 = - 6 s + 5 - s$
1432	Find the Parabola with Vertex (-3,-4) and Focus (-3,-2)	vertex (-3,-4) focus (-3,-2)	vertex $(- 3, - 4)$ focus $(- 3, - 2)$
1433	Solve for x	3^(2x-1)-4*3^x+9=0	$3^{2 x - 1} - 4 \cdot 3^{x} + 9 = 0$
1434	Simplify	(5m^0-n^0)/(m^0-5n^0)	$\frac{5 m^{0} - n^{0}}{m^{0} - 5 n^{0}}$
1435	Simplify	(3- fourth root of 5x^2)/( fourth root of 3x^3)	$\frac{3 - \sqrt[4]{5 x^{2}}}{\sqrt[4]{3 x^{3}}}$
1436	Simplify	1/3xy+5/4xy^2-3/4xy+1/2xy^2-3x^2y+5/6x^2y	$\frac{1}{3} x y + \frac{5}{4} x y^{2} - \frac{3}{4} x y + \frac{1}{2} x y^{2} - 3 x^{2} y + \frac{5}{6} x^{2} y$
1437	Add	4 , 8 , 9 5 , 2 , 7 7 , 5 , 8	$4$ , $8$ , $9$ $5$ , $2$ , $7$ $7$ , $5$ , $8$
1438	Graph	-5x>=9+3y	$- 5 x \geq 9 + 3 y$
1439	Verify the Differential Equation Solution	y'+y''=6e^(2x) , y=e^(2x)	$y' + y'' = 6 e^{2 x}$ , $y = e^{2 x}$
1440	Solve the System of Equations	3x+3y-6z=9 -4x+y+3z=8 -2x+y+2z=2	$3 x + 3 y - 6 z = 9$ $- 4 x + y + 3 z = 8$ $- 2 x + y + 2 z = 2$
1441	Simplify	((9x^5y^6)(4xy))/(6x^2y^4)	$\frac{(9 x^{5} y^{6}) (4 x y)}{6 x^{2} y^{4}}$
1442	Evaluate	-5x^-3	$- 5 x^{- 3}$
1443	Multiply	square root of 2x^4* square root of 8x^3	$\sqrt{2 x^{4}} \cdot \sqrt{8 x^{3}}$
1444	Solve for d	7(d-1)=6d	$7 (d - 1) = 6 d$
1445	Find Amplitude, Period, and Phase Shift	y=-4sin(x+3pi)	$y = - 4 \sin (x + 3 π)$
1446	Verify the Identity	1/(1+sec(s))+1/(1-sec(s))=-2cot(s)^2	$\frac{1}{1 + \sec (s)} + \frac{1}{1 - \sec (s)} = - 2 \cot^{2} (s)$
1447	Find the Product	((3x^2)/(2y^2))^5	${(\frac{3 x^{2}}{2 y^{2}})}^{5}$
1448	Solve for a	(2x+1)/((x+2)(x-3))=a/(x+2)+b/(x-3)	$\frac{2 x + 1}{(x + 2) (x - 3)} = \frac{a}{x + 2} + \frac{b}{x - 3}$
1449	Evaluate	3 square root of 16-5	$3 \sqrt{16} - 5$
1450	Find the Derivative - d/dx	f(x)( cube root of 64x^6)/(x^5)	$f (x) \frac{\sqrt[3]{64 x^{6}}}{x^{5}}$
1451	Simplify	7 cube root of m^7+3m^(7/3)	$7 \sqrt[3]{m^{7}} + 3 m^{\frac{7}{3}}$
1452	Evaluate the Limit	limit as x approaches 0 of (3x+2x^-1)/(x+4x^-1)	$lim_{x \to 0} \frac{3 x + 2 x^{- 1}}{x + 4 x^{- 1}}$
1453	Simplify	(xy^(2/3))^(1/2)	${(x y^{\frac{2}{3}})}^{\frac{1}{2}}$
1454	Solve for x	3.4>x+2/3	$3.4 > x + \frac{2}{3}$
1455	Factor	a^6x^3+b^9y^6	$a^{6} x^{3} + b^{9} y^{6}$
1456	Find the Nth Root of the Given Value	n=2 , a=36	$n = 2$ , $a = 36$
1457	Simplify	-x^0+2	$- x^{0} + 2$
1458	Describe the Transformation	y=2 cube root of x-4	$y = 2 \sqrt[3]{x} - 4$
1459	Divide	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
1460	Simplify	(x^12y^10)^(-1/2)	${(x^{12} y^{10})}^{- \frac{1}{2}}$
1461	Find the Domain and Range	y=\|2x+5\|-1	$y = \| 2 x + 5 \| - 1$
1462	Find the Antiderivative	f(x)=-1/(x^2)	$f (x) = - \frac{1}{x^{2}}$
1463	Rationalize the Denominator	( square root of 8x)/( square root of 3y)	$\frac{\sqrt{8 x}}{\sqrt{3 y}}$
1464	Solve for v	v+0.9=0.2v+1.3	$v + 0.9 = 0.2 v + 1.3$
1465	Find the Antiderivative	1/(x^2)-x^2-1/3	$\frac{1}{x^{2}} - x^{2} - \frac{1}{3}$
1466	Evaluate the Integral	integral from 0 to 1 of x^4e^(2x^5-7) with respect to x	$\int_{0}^{1} x^{4} e^{2 x^{5} - 7} d x$
1467	Simplify	fourth root of square root of 256	$\sqrt[4]{\sqrt{256}}$
1468	Solve for x	(x+5)/(y-3)=0	$\frac{(x + 5)}{(y - 3)} = 0$
1469	Graph	y> = square root of 3x+1+2	$y \geq \sqrt{3 x + 1} + 2$
1470	Graph	y<=-5/6x+2/3	$y \leq - \frac{5}{6} x + \frac{2}{3}$
1471	Find the Exact Value	(1/2+1/3+1/6)÷2 1/2	$(\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) \div 2 \frac{1}{2}$
1472	Solve for t	-8t=-3(t+5)+10t	$- 8 t = - 3 (t + 5) + 10 t$
1473	Find the Product	(4f^9h^3)(-5f^6)(-3h^2)	$(4 f^{9} h^{3}) (- 5 f^{6}) (- 3 h^{2})$
1474	Evaluate	-5y-9=-(y-1)	$- 5 y - 9 = - (y - 1)$
1475	Simplify	(27a^3)÷((18a^4)/(7b^2))	$27 a^{3} \div \frac{18 a^{4}}{7 b^{2}}$
1476	Solve for x	2(x-5)^(1/3)-3=7	$2 {(x - 5)}^{\frac{1}{3}} - 3 = 7$
1477	Simplify	( square root of 5+ square root of 6+ square root of 7)*( square root of 5+ square root of 6- square root of 7)	$(\sqrt{5} + \sqrt{6} + \sqrt{7}) \cdot (\sqrt{5} + \sqrt{6} - \sqrt{7})$
1478	Solve the Inequality for q	7(q+2)<-77	$7 (q + 2) < - 77$
1479	Solve for y	3^(2y-2)=81^(2y+1)	$3^{2 y - 2} = 81^{2 y + 1}$
1480	Solve for x	1-(2/3)^x=-6	$1 - {(\frac{2}{3})}^{x} = - 6$
1481	Solve for t	-6-2t-8t=-9t+1	$- 6 - 2 t - 8 t = - 9 t + 1$
1482	Find the Domain and Range	F(x) = natural log of x-3	$F (x) = \ln (x - 3)$
1483	Simplify the Radical Expression	square root of 3^3*6^3	$\sqrt{3^{3} \cdot 6^{3}}$
1484	Simplify	fourth root of (5x)/x	$\sqrt[4]{\frac{5 x}{x}}$
1485	Simplify	(n^4)3/2	$(n^{4}) \frac{3}{2}$
1486	Write in Slope-Intercept Form	y+4=3(3x+3)	$y + 4 = 3 (3 x + 3)$
1487	Evaluate the Limit	limit as x approaches infinity of 3+5x^2+3x	$lim_{x \to \infty} 3 + 5 x^{2} + 3 x$
1488	Solve for x	1-3/(5x)=4/(10x)	$1 - \frac{3}{5 x} = \frac{4}{10 x}$
1489	Evaluate	square root of ( square root of 11-3)^2+( square root of 11+3)^2	$\sqrt{{(\sqrt{11} - 3)}^{2} + {(\sqrt{11} + 3)}^{2}}$
1490	Solve for x	(x^2+5x+25)^(3/2)=343	${(x^{2} + 5 x + 25)}^{\frac{3}{2}} = 343$
1491	Solve for c	-10+3c+1=3+5c	$- 10 + 3 c + 1 = 3 + 5 c$
1492	Find the Domain	(a+3)/(a^2-1)-1/(a^2+a)	$\frac{a + 3}{a^{2} - 1} - \frac{1}{a^{2} + a}$
1493	Simplify	(6+5 square root of 2)/(4+3 square root of 2)	$\frac{6 + 5 \sqrt{2}}{4 + 3 \sqrt{2}}$
1494	Simplify	(3t^4+4t^3-32t^2-5t-20)(t+4)^-1	$(3 t^{4} + 4 t^{3} - 32 t^{2} - 5 t - 20) {(t + 4)}^{- 1}$
1495	Solve for c	-2c=6-3c	$- 2 c = 6 - 3 c$
1496	Evaluate	(-5^0)/(2^-2)	$\frac{- 5^{0}}{2^{- 2}}$
1497	Solve for w	-3w-4=w+3	$- 3 w - 4 = w + 3$
1498	Integrate Using Partial Fractions	integral of (x^5)/(x^3-1) with respect to x	$\int \frac{x^{5}}{x^{3} - 1} d x$
1499	Simplify	((16y^5)/(4y^3))^(1/2)	${(\frac{16 y^{5}}{4 y^{3}})}^{\frac{1}{2}}$
1500	Simplify	- cube root of 2x^2y^2*2 cube root of 15x^5y	$- \sqrt[3]{2 x^{2} y^{2}} \cdot 2 \sqrt[3]{15 x^{5} y}$