Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1	Simplify	square root of s square root of s^7	$\sqrt{s \sqrt{s^{7}}}$ $\sqrt{s \sqrt{s^{7}}}$
2	Simplify	cube root of 8x^7y^9z^3	$\sqrt[3]{8 x^{7} y^{9} z^{3}}$ $\sqrt[3]{8 x^{7} y^{9} z^{3}}$
3	Simplify	arccos(( square root of 3)/2)	$arccos (\frac{\sqrt{3}}{2})$ $\arccos (\frac{\sqrt{3}}{2})$
4	Solve for ?	sin(x)=1/2	$sin (x) = \frac{1}{2}$ $\sin (x) = \frac{1}{2}$
5	Simplify	square root of s square root of s^3	$\sqrt{s \sqrt{s^{3}}}$ $\sqrt{s \sqrt{s^{3}}}$
6	Solve for ?	cos(x)=1/2	$cos (x) = \frac{1}{2}$ $\cos (x) = \frac{1}{2}$
7	Solve for x	sin(x)=-1/2	$sin (x) = - \frac{1}{2}$ $\sin (x) = - \frac{1}{2}$
8	Convert from Degrees to Radians	225	$225$ $225$
9	Solve for ?	cos(x)=( square root of 2)/2	$cos (x) = \frac{\sqrt{2}}{2}$ $\cos (x) = \frac{\sqrt{2}}{2}$
10	Solve for x	cos(x)=( square root of 3)/2	$cos (x) = \frac{\sqrt{3}}{2}$ $\cos (x) = \frac{\sqrt{3}}{2}$
11	Solve for x	sin(x)=( square root of 3)/2	$sin (x) = \frac{\sqrt{3}}{2}$ $\sin (x) = \frac{\sqrt{3}}{2}$
12	Graph	g(x)=3/4* fifth root of x	$g (x) = \frac{3}{4} \cdot \sqrt[5]{x}$ $g (x) = \frac{3}{4} \cdot \sqrt[5]{x}$
13	Find the Center and Radius	x^2+y^2=9	$x^{2} + y^{2} = 9$ $x^{2} + y^{2} = 9$
14	Convert from Degrees to Radians	120 degrees	$120 °$ $120 °$
15	Convert from Degrees to Radians	180	$180$ $180$
16	Find the Exact Value	tan(195)	$tan (195)$ $\tan (195)$
17	Find the Degree	f(x)=2x^2(x-1)(x+2)^3(x^2+1)^2	$f (x) = 2 x^{2} (x - 1) {(x + 2)}^{3} {(x^{2} + 1)}^{2}$ $f (x) = 2 x^{2} (x - 1) {(x + 2)}^{3} {(x^{2} + 1)}^{2}$
18	Solve for ?	tan(x) = square root of 3	$tan (x) = \sqrt{3}$ $\tan (x) = \sqrt{3}$
19	Solve for ?	sin(x)=( square root of 2)/2	$sin (x) = \frac{\sqrt{2}}{2}$ $\sin (x) = \frac{\sqrt{2}}{2}$
20	Find the Center and Radius	x^2+y^2=25	$x^{2} + y^{2} = 25$ $x^{2} + y^{2} = 25$
21	Find the Center and Radius	x^2+y^2=4	$x^{2} + y^{2} = 4$ $x^{2} + y^{2} = 4$
22	Solve for x	2cos(x)-1=0	$2 cos (x) - 1 = 0$ $2 \cos (x) - 1 = 0$
23	Solve for x	6x^2+12x+7=0	$6 x^{2} + 12 x + 7 = 0$ $6 x^{2} + 12 x + 7 = 0$
24	Find the Domain	x^2	$x^{2}$ $x^{2}$
25	Find the Domain	f(x)=x^2	$f (x) = x^{2}$ $f (x) = x^{2}$
26	Convert from Degrees to Radians	330 degrees	$330 °$ $330 °$
27	Expand the Logarithmic Expression	natural log of (x^4(x-4)^2)/( square root of x^2+1)	$ln (\frac{x^{4} {(x - 4)}^{2}}{\sqrt{x^{2} + 1}})$ $\ln (\frac{x^{4} {(x - 4)}^{2}}{\sqrt{x^{2} + 1}})$
28	Simplify	((3x^2)^2y^4)/(3y^2)	$\frac{{(3 x^{2})}^{2} y^{4}}{3 y^{2}}$ $\frac{{(3 x^{2})}^{2} y^{4}}{3 y^{2}}$
29	Simplify	(csc(x)cot(x))/(sec(x))	$\frac{csc (x) cot (x)}{sec (x)}$ $\frac{\csc (x) \cot (x)}{\sec (x)}$
30	Solve for ?	tan(x)=0	$\tan (x) = 0$
31	Solve for x	x^4-3x^3-x^2+3x=0	$x^{4} - 3 x^{3} - x^{2} + 3 x = 0$
32	Solve for x	cos(x)=sin(x)	$\cos (x) = \sin (x)$
33	Find the x and y Intercepts	x^2+y^2+6x-6y-46=0	$x^{2} + y^{2} + 6 x - 6 y - 46 = 0$
34	Solve for x	square root of x+30=x	$\sqrt{x + 30} = x$
35	Simplify	cot(x)tan(x)	$\cot (x) \tan (x)$
36	Find the Domain	y=x^2	$y = x^{2}$
37	Find the Domain	square root of x^2-4	$\sqrt{x^{2} - 4}$
38	Find the Exact Value	sin(255)	$\sin (255)$
39	Evaluate	log base 27 of 36	$\log_{27} (36)$
40	Convert from Radians to Degrees	2p	$2 p$
41	Simplify	(F(x+h)-Fx)/h	$\frac{F (x + h) - F x}{h}$
42	Solve for ?	2sin(x)^2-3sin(x)+1=0	$2 \sin^{2} (x) - 3 \sin (x) + 1 = 0$
43	Solve for x	tan(x)+ square root of 3=0	$\tan (x) + \sqrt{3} = 0$
44	Solve for x	sin(2x)+cos(x)=0	$\sin (2 x) + \cos (x) = 0$
45	Simplify	(1-cos(x))(1+cos(x))	$(1 - \cos (x)) (1 + \cos (x))$
46	Find the Domain	x^4	$x^{4}$
47	Solve for ?	2sin(x)+1=0	$2 \sin (x) + 1 = 0$
48	Solve for x	x^4-4x^3-x^2+4x=0	$x^{4} - 4 x^{3} - x^{2} + 4 x = 0$
49	Simplify	9/(x^2)+9/(x^3)	$\frac{9}{x^{2}} + \frac{9}{x^{3}}$
50	Simplify	(cot(x))/(csc(x))	$\frac{\cot (x)}{\csc (x)}$
51	Simplify	1/(c^(3/5))	$\frac{1}{c^{\frac{3}{5}}}$
52	Simplify	square root of 9a^3+ square root of a	$\sqrt{9 a^{3}} + \sqrt{a}$
53	Find the Exact Value	tan(285)	$\tan (285)$
54	Find the Exact Value	cos(255)	$\cos (255)$
55	Convert to Logarithmic Form	12^(x/6)=18	$12^{\frac{x}{6}} = 18$
56	Expand the Logarithmic Expression	( log base 27 of 36)( log base 36 of 49)( log base 49 of 81)	$(\log_{27} (36)) (\log_{36} (49)) (\log_{49} (81))$
57	Find the Properties	x^2=12y	$x^{2} = 12 y$
58	Find the Properties	x^2+y^2=25	$x^{2} + y^{2} = 25$
59	Graph	f(x)=- natural log of x-1+3	$f (x) = - \ln (x - 1) + 3$
60	Find the Value Using the Unit Circle	arcsin(-1/2)	$\arcsin (- \frac{1}{2})$
61	Find the Domain	square root of 36-4x^2	$\sqrt{36 - 4 x^{2}}$
62	Simplify	( square root of x-5)^2+3	${(\sqrt{x - 5})}^{2} + 3$
63	Solve for x	x^4-2x^3-x^2+2x=0	$x^{4} - 2 x^{3} - x^{2} + 2 x = 0$
64	Solve for x	y=(5-x)/(7x+11)	$y = \frac{5 - x}{7 x + 11}$
65	Solve for x	x^5-5x^2=0	$x^{5} - 5 x^{2} = 0$
66	Solve for x	cos(2x)=( square root of 2)/2	$\cos (2 x) = \frac{\sqrt{2}}{2}$
67	Graph	y=3	$y = 3$
68	Graph	f(x)=- log base 3 of x-1+3	$f (x) = - \log_{3} (x - 1) + 3$
69	Find the Roots (Zeros)	f(x)=3x^3-12x^2-15x	$f (x) = 3 x^{3} - 12 x^{2} - 15 x$
70	Find the Degree	2x^2(x-1)(x+2)^3(x^2+1)^2	$2 x^{2} (x - 1) {(x + 2)}^{3} {(x^{2} + 1)}^{2}$
71	Solve for x	square root of x+4+ square root of x-1=5	$\sqrt{x + 4} + \sqrt{x - 1} = 5$
72	Solve for ?	cos(2x)=-1/2	$\cos (2 x) = - \frac{1}{2}$
73	Solve for x	log base x of 16=4	$\log_{x} (16) = 4$
74	Simplify	e^x	$e^{x}$
75	Simplify	(cos(x))/(1-sin(x))+(1-sin(x))/(cos(x))	$\frac{\cos (x)}{1 - \sin (x)} + \frac{1 - \sin (x)}{\cos (x)}$
76	Simplify	sec(x)sin(x)	$\sec (x) \sin (x)$
77	Simplify	cube root of 24 cube root of 18	$\sqrt[3]{24} \sqrt[3]{18}$
78	Find the Domain	square root of 16-x^2	$\sqrt{16 - x^{2}}$
79	Find the Domain	square root of 1-x	$\sqrt{1 - x}$
80	Find the Domain	y=sin(x)	$y = \sin (x)$
81	Simplify	square root of 25x^2+25	$\sqrt{25 x^{2} + 25}$
82	Determine if Odd, Even, or Neither	f(x)=x^3	$f (x) = x^{3}$
83	Find the Domain and Range	f(x) = square root of x+3	$f (x) = \sqrt{x + 3}$
84	Find the Properties	x^2=4y	$x^{2} = 4 y$
85	Find the Properties	(x^2)/25+(y^2)/9=1	$\frac{x^{2}}{25} + \frac{y^{2}}{9} = 1$
86	Find the Exact Value	cos(-210)	$\cos (- 210)$
87	Simplify	cube root of 54x^17	$\sqrt[3]{54 x^{17}}$
88	Simplify	square root of square root of 256x^4	$\sqrt{\sqrt{256 x^{4}}}$
89	Find the Domain	f(x)=3/(x^2-2x-15)	$f (x) = \frac{3}{x^{2} - 2 x - 15}$
90	Find the Domain	square root of 4-x^2	$\sqrt{4 - x^{2}}$
91	Find the Domain	square root of x^2-9	$\sqrt{x^{2} - 9}$
92	Find the Domain	f(x)=x^3	$f (x) = x^{3}$
93	Solve for x	e^x-6e^(-x)-1=0	$e^{x} - 6 e^{- x} - 1 = 0$
94	Solve for x	6^(5x)=3000	$6^{5 x} = 3000$
95	Solve for x	4cos(x-1)^2=0	$4 \cos^{2} (x - 1) = 0$
96	Solve for x	3x+2=(5x-11)/(8y)	$3 x + 2 = \frac{5 x - 11}{8 y}$
97	Solve for ?	sin(2x)=-1/2	$\sin (2 x) = - \frac{1}{2}$
98	Solve for x	(2x-1)/(x+2)=4/5	$\frac{2 x - 1}{x + 2} = \frac{4}{5}$
99	Solve for x	sec(4x)=2	$\sec (4 x) = 2$
100	Solve for n	(4n+8)/(n^2+n-72)+8/(n^2+n-72)=1/(n+9)	$\frac{4 n + 8}{n^{2} + n - 72} + \frac{8}{n^{2} + n - 72} = \frac{1}{n + 9}$