Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1101	Find the Asymptotes	f(x)=(2x^2+1)/x	$f (x) = \frac{2 x^{2} + 1}{x}$
1102	Solve Using the Quadratic Formula	4x^2-4x=11	$4 x^{2} - 4 x = 11$
1103	Solve Using the Quadratic Formula	5x=3x^2+1	$5 x = 3 x^{2} + 1$
1104	Solve Using the Quadratic Formula	7x^2+71x+72=0	$7 x^{2} + 71 x + 72 = 0$
1105	Calculate the Square Root	square root of 6	$\sqrt{6}$
1106	Calculate the Square Root	square root of 15	$\sqrt{15}$
1107	Write as a Function of ?	sin(x)=( square root of 2)/2	$\sin (x) = \frac{\sqrt{2}}{2}$
1108	Write as a Function of y	x^2+y^2=25	$x^{2} + y^{2} = 25$
1109	Write as a Function of x	x+y^3=8	$x + y^{3} = 8$
1110	Write as a Function of y	y=x^2+0.2sin(50x)	$y = x^{2} + 0.2 \sin (50 x)$
1111	Write as a Function of y	y = square root of x-4	$y = \sqrt{x - 4}$
1112	Factor	x^3-3x^2+12x-10	$x^{3} - 3 x^{2} + 12 x - 10$
1113	Factor	x^3+5x^2-25x-125	$x^{3} + 5 x^{2} - 25 x - 125$
1114	Factor	u^2v^2-225	$u^{2} v^{2} - 225$
1115	Factor	x^(-3/2)+2x^(-1/2)+x^(1/2)	$x^{- \frac{3}{2}} + 2 x^{- \frac{1}{2}} + x^{\frac{1}{2}}$
1116	Factor	n^2-8n-72	$n^{2} - 8 n - 72$
1117	Factor	csc(x)^3-csc(x)^2-csc(x)+1	$\csc^{3} (x) - \csc^{2} (x) - \csc (x) + 1$
1118	Factor	a^12-b^3	$a^{12} - b^{3}$
1119	Factor	(x+2)^2-(x+2)-42	${(x + 2)}^{2} - (x + 2) - 42$
1120	Factor	12x^3+18x	$12 x^{3} + 18 x$
1121	Factor	x^4+3x^2-40	$x^{4} + 3 x^{2} - 40$
1122	Factor	x^4-2x^3+13x^2-32x-48	$x^{4} - 2 x^{3} + 13 x^{2} - 32 x - 48$
1123	Factor	x^3-8x^2+17x-10	$x^{3} - 8 x^{2} + 17 x - 10$
1124	Factor	x^3-5x^2+3x-2	$x^{3} - 5 x^{2} + 3 x - 2$
1125	Factor	2x^3-9x^2-6x+5	$2 x^{3} - 9 x^{2} - 6 x + 5$
1126	Factor	20x^3-8x^2-5x+2	$20 x^{3} - 8 x^{2} - 5 x + 2$
1127	Factor	27s^3-64t^3	$27 s^{3} - 64 t^{3}$
1128	Factor	2x^2+6x-1	$2 x^{2} + 6 x - 1$
1129	Factor	(x^2+2)^(5/2)+2x(x^2+2)^(3/2)+x^2 square root of x^2+2	${(x^{2} + 2)}^{\frac{5}{2}} + 2 x {(x^{2} + 2)}^{\frac{3}{2}} + x^{2} \sqrt{x^{2} + 2}$
1130	Factor	(3x+2)^2+8(3x+2)+12	${(3 x + 2)}^{2} + 8 (3 x + 2) + 12$
1131	Find the Degree	y	$y$
1132	Find the Degree	(8pi)/5	$\frac{8 π}{5}$
1133	Find the Degree	(9pi)/10	$\frac{9 π}{10}$
1134	Find the Other Trig Values in Quadrant IV	sin(x)=-( square root of 3)/2	$\sin (x) = - \frac{\sqrt{3}}{2}$
1135	Find the Other Trig Values in Quadrant IV	cos(x)=8/17	$\cos (x) = \frac{8}{17}$
1136	Find the Other Trig Values in Quadrant III	cot(x)=12/5	$\cot (x) = \frac{12}{5}$
1137	Find the Other Trig Values in Quadrant I	sin(x)=4/7	$\sin (x) = \frac{4}{7}$
1138	Find the Other Trig Values in Quadrant I	sin(x)=1/3	$\sin (x) = \frac{1}{3}$
1139	Find the Asymptotes	y=sin(x)	$y = \sin (x)$
1140	Identify the Zeros and Their Multiplicities	2x^2(x-1)(x+2)^3(x^2+1)^2	$2 x^{2} (x - 1) {(x + 2)}^{3} {(x^{2} + 1)}^{2}$
1141	Find the Asymptotes	y=4/x	$y = \frac{4}{x}$
1142	Find the Asymptotes	y=4^x	$y = 4^{x}$
1143	Find the Asymptotes	y=(x^3)/(x^2+4)	$y = \frac{x^{3}}{x^{2} + 4}$
1144	Find the Asymptotes	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
1145	Solve for y	y^(4/5)=34	$y^{\frac{4}{5}} = 34$
1146	Solve for x	sin(x)cos(x)=1/4	$\sin (x) \cos (x) = \frac{1}{4}$
1147	Solve for x	sin(x) = square root of 3-sin(x)	$\sin (x) = \sqrt{3} - \sin (x)$
1148	Solve for x	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
1149	Solve for x	sin(3x)=( square root of 2)/2	$\sin (3 x) = \frac{\sqrt{2}}{2}$
1150	Solve for x	sin(x/2-pi/4)=1/2	$\sin (\frac{x}{2} - \frac{π}{4}) = \frac{1}{2}$
1151	Solve for x	tan(2x)- square root of 3=0	$\tan (2 x) - \sqrt{3} = 0$
1152	Solve for x	x+10/x=7	$x + \frac{10}{x} = 7$
1153	Solve for x	x+1/x=2	$x + \frac{1}{x} = 2$
1154	Solve for x	x+(4x)/(x-3)=12/(x-3)	$x + \frac{4 x}{x - 3} = \frac{12}{x - 3}$
1155	Solve for x	x+2=15/x	$x + 2 = \frac{15}{x}$
1156	Solve for x	7 log base 4 of 0.6x=12	$7 \log_{4} (0.6 x) = 12$
1157	Solve for x	cos(x/2)=( square root of 2)/2	$\cos (\frac{x}{2}) = \frac{\sqrt{2}}{2}$
1158	Solve for x	natural log of 1/e=x	$\ln (\frac{1}{e}) = x$
1159	Solve for x	cot(x)+1=0	$\cot (x) + 1 = 0$
1160	Solve for x	cot(x/2)=0	$\cot (\frac{x}{2}) = 0$
1161	Solve for x	cot(x)cos(x)^2=2cot(x)	$\cot (x) \cos^{2} (x) = 2 \cot (x)$
1162	Solve for x	csc(x)=2/( square root of 3)	$\csc (x) = \frac{2}{\sqrt{3}}$
1163	Solve for x	csc(x) = square root of 2	$\csc (x) = \sqrt{2}$
1164	Solve for x	natural log of x+ natural log of x+6=1/2* natural log of 9	$\ln (x) + \ln (x + 6) = \frac{1}{2} \cdot \ln (9)$
1165	Solve for x	natural log of x^2-x = natural log of 6	$\ln (x^{2} - x) = \ln (6)$
1166	Solve for x	natural log of 4+x=2	$\ln (4 + x) = 2$
1167	Solve for x	natural log of x+9 = natural log of x+ natural log of 9	$\ln (x + 9) = \ln (x) + \ln (9)$
1168	Solve for x	natural log of x+3 = natural log of x+ natural log of 3	$\ln (x + 3) = \ln (x) + \ln (3)$
1169	Solve for x	natural log of x-3+ natural log of x+4=1	$\ln (x - 3) + \ln (x + 4) = 1$
1170	Solve for x	natural log of x-2- natural log of x+2 = natural log of x-1- natural log of 2x+1	$\ln (x - 2) - \ln (x + 2) = \ln (x - 1) - \ln (2 x + 1)$
1171	Solve for x	x^2-7x-10=-2x-4	$x^{2} - 7 x - 10 = - 2 x - 4$
1172	Solve for x	log of x-2+ log of x+5=2 log of 3	$\log (x - 2) + \log (x + 5) = 2 \log (3)$
1173	Solve for x	log of x+7=1	$\log (x + 7) = 1$
1174	Solve for x	sec(x)=-(2 square root of 3)/3	$\sec (x) = - \frac{2 \sqrt{3}}{3}$
1175	Solve for x	log of x- log of 2x-1=0	$\log (x) - \log (2 x - 1) = 0$
1176	Solve for x	\|x+4\|=\|2x+1\|	$\| x + 4 \| = \| 2 x + 1 \|$
1177	Solve for x	log of x=x^2-1	$\log (x) = x^{2} - 1$
1178	Solve for x	log of 3x+7+ log of x-2=1	$\log (3 x + 7) + \log (x - 2) = 1$
1179	Solve for x	8x^2+14x=0	$8 x^{2} + 14 x = 0$
1180	Solve for x	log of x^2-3x=1	$\log (x^{2} - 3 x) = 1$
1181	Solve for x	log of 1-x = log of 10	$\log (1 - x) = \log (10)$
1182	Solve for p	-5p-8=-(2p-2)+5(-8-p)	$- 5 p - 8 = - (2 p - 2) + 5 (- 8 - p)$
1183	Solve for t	(t-1)(t-4)=(t+1)^2	$(t - 1) (t - 4) = {(t + 1)}^{2}$
1184	Solve for z	z/5=3/10z+7	$\frac{z}{5} = \frac{3}{10} z + 7$
1185	Solve for a	h=bt+1/2*(at^2)	$h = b t + \frac{1}{2} \cdot (a t^{2})$
1186	Solve for y	y^5-18y^4+6y^3=0	$y^{5} - 18 y^{4} + 6 y^{3} = 0$
1187	Solve for y	y+6/y=5	$y + \frac{6}{y} = 5$
1188	Simplify	(e^x+e^(-x))(e^x-e^(-x))-(e^x-e^(-x))^2	$(e^{x} + e^{- x}) (e^{x} - e^{- x}) - {(e^{x} - e^{- x})}^{2}$
1189	Simplify	-(3/2+5/2i)+(5/3+11/3i)	$- (\frac{3}{2} + \frac{5}{2} \cdot i) + (\frac{5}{3} + \frac{11}{3} \cdot i)$
1190	Simplify	(x^(5/2)+y^(5/2))(x^(5/2)-y^(5/2))	$(x^{\frac{5}{2}} + y^{\frac{5}{2}}) (x^{\frac{5}{2}} - y^{\frac{5}{2}})$
1191	Simplify	(2x-5)(x^2-x+1)	$(2 x - 5) (x^{2} - x + 1)$
1192	Solve for x	x/(2x+7)-(x+1)/(x+3)=1	$\frac{x}{2 x + 7} - \frac{x + 1}{x + 3} = 1$
1193	Solve for x	x^(-2/3)=4	$x^{- \frac{2}{3}} = 4$
1194	Solve for x	2x^2-2.10x-0.48=0	$2 x^{2} - 2.1 x - 0.48 = 0$
1195	Solve for x	7-3e^(-x)=2	$7 - 3 e^{- x} = 2$
1196	Solve for x	5(1.2)^(3x-2)+1=7	$5 {(1.2)}^{3 x - 2} + 1 = 7$
1197	Simplify	(1-2i)^2-(1+2i)^2	${(1 - 2 i)}^{2} - {(1 + 2 i)}^{2}$
1198	Simplify	(a^2b^8c^5)^2(a^5c^2)^3(a^-2bc^-1)^3	${(a^{2} b^{8} c^{5})}^{2} {(a^{5} c^{2})}^{3} {(a^{- 2} b c^{- 1})}^{3}$
1199	Simplify	(a^3b^12c^2)^2(a^5c^2)^3(b^5c^4)^0	${(a^{3} b^{12} c^{2})}^{2} {(a^{5} c^{2})}^{3} {(b^{5} c^{4})}^{0}$
1200	Simplify	(3AB)^-1(A^2B^-1)^2	${(3 A B)}^{- 1} {(A^{2} B^{- 1})}^{2}$