Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1101	Simplify	(x+y)/2-(5-x^2)/(y-x)	$\frac{x + y}{2} - \frac{5 - x^{2}}{y - x}$
1102	Solve for s	-6s-5s+5=-7+s	$- 6 s - 5 s + 5 = - 7 + s$
1103	Solve for x	b-7x=a-b	$b - 7 x = a - b$
1104	Simplify	cube root of (128a^9)/(2a^3)	$\sqrt[3]{\frac{128 a^{9}}{2 a^{3}}}$
1105	Find the Derivative - d/dx	y = fourth root of 8x^2	$y = \sqrt[4]{8 x^{2}}$
1106	Write in Standard Form	(2x-1)(2x+1)=x(2x+3)	$(2 x - 1) (2 x + 1) = x (2 x + 3)$
1107	Solve for x	3(3-3x)=2(x+3)-30	$3 (3 - 3 x) = 2 (x + 3) - 30$
1108	Solve for x	14x-1/2(4x+6)=3(x-4)-18	$14 x - \frac{1}{2} (4 x + 6) = 3 (x - 4) - 18$
1109	Find the Domain	(a^2-b^2)/(a^2-3a)*(2a-6)/((a+b)^2)	$\frac{a^{2} - b^{2}}{a^{2} - 3 a} \cdot \frac{2 a - 6}{{(a + b)}^{2}}$
1110	Graph	y<=x-1 y<-2x+2	$y \leq x - 1$ $y < - 2 x + 2$
1111	Solve for F	9/5C+32=F	$\frac{9}{5} C + 32 = F$
1112	Simplify	((-6a^-9b^5)/(2a^2b^-4))^4	${(\frac{- 6 a^{- 9} b^{5}}{2 a^{2} b^{- 4}})}^{4}$
1113	Solve for x	square root of 1-5x=1+ square root of 6-x	$\sqrt{1 - 5 x} = 1 + \sqrt{6 - x}$
1114	Simplify	( square root of 40a^2b^5)/( square root of 5a^5b)	$\frac{\sqrt{40 a^{2} b^{5}}}{\sqrt{5 a^{5} b}}$
1115	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (cos(6x)-cos(7x))/(x^2)	$lim_{x \to 0} \frac{\cos (6 x) - \cos (7 x)}{x^{2}}$
1116	Solve the System of Equations	A+C=1 B+D=0 4A+2C=0 4B+2D=6	$A + C = 1$ $B + D = 0$ $4 A + 2 C = 0$ $4 B + 2 D = 6$
1117	Simplify	-3a*(7a^2-4)	$- 3 a \cdot (7 a^{2} - 4)$
1118	Solve for w	-2+2/3w=10	$- 2 + \frac{2}{3} w = 10$
1119	Simplify the Radical Expression	4 sixth root of 3+2 fourth root of 32-3 sixth root of 192-2 sixth root of 192	$4 \sqrt[6]{3} + 2 \sqrt[4]{32} - 3 \sqrt[6]{192} - 2 \sqrt[6]{192}$
1120	Simplify	((4m^2)(3n^5))/((2m^-3)(-mn)^3)	$\frac{(4 m^{2}) (3 n^{5})}{(2 m^{- 3}) {(- m n)}^{3}}$
1121	Solve for q	-7-7q=-8q-4-8	$- 7 - 7 q = - 8 q - 4 - 8$
1122	Solve by Graphing	y=1/3x+2 y=2/3x+5	$y = \frac{1}{3} x + 2$ $y = \frac{2}{3} x + 5$
1123	Evaluate the Limit	limit as x approaches infinity of ((x-4)/(x+3))^(2x+1)	$lim_{x \to \infty} {(\frac{x - 4}{x + 3})}^{2 x + 1}$
1124	Simplify	(2x^(1/3)*y^(3/5))^2	${(2 x^{\frac{1}{3}} \cdot y^{\frac{3}{5}})}^{2}$
1125	Solve the Inequality for x	2 cube root of x-5>=3	$2 \sqrt[3]{x} - 5 \geq 3$
1126	Find the Antiderivative	x^2*e^x	$x^{2} \cdot e^{x}$
1127	Factor	12a^2b^4-36a^2b+44abc	$12 a^{2} b^{4} - 36 a^{2} b + 44 a b c$
1128	Solve for h	2-4h-4=6-5h	$2 - 4 h - 4 = 6 - 5 h$
1129	Simplify	( square root of 7-7)*(1+ square root of 7)	$(\sqrt{7} - 7) \cdot (1 + \sqrt{7})$
1130	Simplify	cube root of 4* square root of 8	$\sqrt[3]{4} \cdot \sqrt{8}$
1131	Find the Tangent Line at x=1	f(x)=x^3-6x^2+1 is concave down at x=1	$f (x) = x^{3} - 6 x^{2} + 1$ is concave down at $x = 1$
1132	Solve for d	8 1/4÷d=2/11	$8 \frac{1}{4} \div d = \frac{2}{11}$
1133	Solve for x	(1/x+1/a)/(x+a)=1	$\frac{\frac{1}{x} + \frac{1}{a}}{x + a} = 1$
1134	Solve for y	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
1135	Solve for y	square root of y-3=-5	$\sqrt{y - 3} = - 5$
1136	Simplify	( cube root of 64)^-2	${(\sqrt[3]{64})}^{- 2}$
1137	Solve for T	Pr=I/T	$P r = \frac{I}{T}$
1138	Evaluate	-(10^0)^7	$- {(10^{0})}^{7}$
1139	Rationalize the Denominator	( square root of 5+2 square root of 2)/( square root of 6)	$\frac{\sqrt{5} + 2 \sqrt{2}}{\sqrt{6}}$
1140	Simplify	5 square root of 27-2 cube root of 27+ cube root of 27	$5 \sqrt{27} - 2 \sqrt[3]{27} + \sqrt[3]{27}$
1141	Solve for y	square root of y^2-12y+36=-1	$\sqrt{y^{2} - 12 y + 36} = - 1$
1142	Simplify the Radical Expression	( square root of 2)/(4 square root of 8)	$\frac{\sqrt{2}}{4 \sqrt{8}}$
1143	Solve Using an Augmented Matrix	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
1144	Solve for u	-10u+10=-1-9u+7	$- 10 u + 10 = - 1 - 9 u + 7$
1145	Solve for j	-7j-2-2j=4-3j	$- 7 j - 2 - 2 j = 4 - 3 j$
1146	Simplify	((x^2-x-2)(x^2-9))/((x^2-2x-3)(x^2+x-6))	$\frac{(x^{2} - x - 2) (x^{2} - 9)}{(x^{2} - 2 x - 3) (x^{2} + x - 6)}$
1147	Solve for c	12x^5=(4x^2)(c)	$12 x^{5} = (4 x^{2}) (c)$
1148	Write in Exponential Form	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
1149	Solve for v	9v=-10+10v	$9 v = - 10 + 10 v$
1150	Find All Complex Solutions	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
1151	Simplify	(80xy)/(10(xy)^-2)	$\frac{80 x y}{10 {(x y)}^{- 2}}$
1152	Solve for r	8+4r=9r+r-10	$8 + 4 r = 9 r + r - 10$
1153	Solve for g	-9-g-7g=7-10g	$- 9 - g - 7 g = 7 - 10 g$
1154	Simplify	( square root of c^5)/( square root of d^9)	$\frac{\sqrt{c^{5}}}{\sqrt{d^{9}}}$
1155	Simplify	(a-2)(4a^3-3a^2)	$(a - 2) (4 a^{3} - 3 a^{2})$
1156	Solve for c	a*b^c=d	$a \cdot b^{c} = d$
1157	Simplify	(a-b)(a+2)-(a+b)(a-2)	$(a - b) (a + 2) - (a + b) (a - 2)$
1158	Write in Standard Form	(3a^2-a+3)+(4a^2-5)	$(3 a^{2} - a + 3) + (4 a^{2} - 5)$
1159	Simplify	( square root of 75x^5y)/( square root of 28xy^3)	$\frac{\sqrt{75 x^{5} y}}{\sqrt{28 x y^{3}}}$
1160	Simplify	(a^15b^2c^18)/(a^12b^2c^3)	$\frac{a^{15} b^{2} c^{18}}{a^{12} b^{2} c^{3}}$
1161	Solve for b	-8b-4b+2=-9b+8	$- 8 b - 4 b + 2 = - 9 b + 8$
1162	Graph	x-y>3 x>=6	$x - y > 3$ $x \geq 6$
1163	Solve for x	1/2x-7=1/3(x-12)	$\frac{1}{2} x - 7 = \frac{1}{3} (x - 12)$
1164	Simplify	2/3(x-12)	$\frac{2}{3} (x - 12)$
1165	Solve for j	-10+j=10-5j+4	$- 10 + j = 10 - 5 j + 4$
1166	Factor	20x^4-25x^2y^2-10x^3	$20 x^{4} - 25 x^{2} y^{2} - 10 x^{3}$
1167	Simplify	2(-5x+3)+-2(7x-1)	$2 (- 5 x + 3) + - 2 (7 x - 1)$
1168	Find dx/dy	y=(4x^2-16)/(x-2)	$y = \frac{4 x^{2} - 16}{x - 2}$
1169	Solve for n	-4n=2-5n	$- 4 n = 2 - 5 n$
1170	Simplify	(a-a/b)/(b-1/b)	$\frac{a - \frac{a}{b}}{b - \frac{1}{b}}$
1171	Find the Domain	((x-y)^2)/(2xy+6y)*(4x+12)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{2 x y + 6 y} \cdot \frac{4 x + 12}{x^{2} - y^{2}}$
1172	Simplify	( sixth root of 4)/( cube root of 4)	$\frac{\sqrt[6]{4}}{\sqrt[3]{4}}$
1173	Solve for v	-2v-5=7+3v-3v	$- 2 v - 5 = 7 + 3 v - 3 v$
1174	Solve for u	-9-4u=-u	$- 9 - 4 u = - u$
1175	Simplify	-2x+6y+x+4-3y	$- 2 x + 6 y + x + 4 - 3 y$
1176	Simplify	sixth root of 64(x+6)^6	$\sqrt[6]{64 {(x + 6)}^{6}}$
1177	Find the x and y Intercepts	f(x)=3 cube root of -x-2+6	$f (x) = 3 \sqrt[3]{- x - 2} + 6$
1178	Solve for m	7m=7(2m-3)	$7 m = 7 (2 m - 3)$
1179	Solve for c	8^c=1/64	$8^{c} = \frac{1}{64}$
1180	Find the Exact Value	9(3^-2)-(3^4)/(3^2)-( square root of 2^6)÷2	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}} \div 2$
1181	Simplify	( square root of 2x^6)/( square root of 5x^4y^5)	$\frac{\sqrt{2 x^{6}}}{\sqrt{5 x^{4} y^{5}}}$
1182	Solve for x	1/81<9^(2x-4)	$\frac{1}{81} < 9^{2 x - 4}$
1183	Solve for t	-7t=-5t+6	$- 7 t = - 5 t + 6$
1184	Solve for x	8x+32=1/5(25x-15)-4x	$8 x + 32 = \frac{1}{5} (25 x - 15) - 4 x$
1185	Simplify the Radical Expression	cube root of 64/49	$\sqrt[3]{\frac{64}{49}}$
1186	Simplify	-4mn^3*(-3m^2n+12mn^2-6m+7n^2)	$- 4 m n^{3} \cdot (- 3 m^{2} n + 12 m n^{2} - 6 m + 7 n^{2})$
1187	Solve for h	4(h-1)=3h	$4 (h - 1) = 3 h$
1188	Rationalize the Denominator	6/(2+2 square root of 5)	$\frac{6}{2 + 2 \sqrt{5}}$
1189	Simplify	(i-1)^2+2/((i-1)^2)	${(i - 1)}^{2} + \frac{2}{{(i - 1)}^{2}}$
1190	Simplify	(5a-3a^3)(4a-1)	$(5 a - 3 a^{3}) (4 a - 1)$
1191	Find the Roots (Zeros)	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
1192	Evaluate	y=1/4(4)^(3/2)	$y = \frac{1}{4} {(4)}^{\frac{3}{2}}$
1193	Simplify	(3x^3y)^4-(7x^5y)^2*x^2y^2	${(3 x^{3} y)}^{4} - {(7 x^{5} y)}^{2} \cdot x^{2} y^{2}$
1194	Find the Antiderivative	e^x-e^(-x)	$e^{x} - e^{- x}$
1195	Multiply	(7x^2+a^2)(x^2-3a^2)	$(7 x^{2} + a^{2}) (x^{2} - 3 a^{2})$
1196	Evaluate the Limit	limit as x approaches 1 of (x^2-x^-2)/(x-x^-1)	$lim_{x \to 1} \frac{x^{2} - x^{- 2}}{x - x^{- 1}}$
1197	Evaluate the Function	y=-4(5)^x for x=2	$y = - 4 {(5)}^{x}$ for $x = 2$
1198	Simplify	((12)^(3/4))/((4)^(1/4))	$\frac{{(12)}^{\frac{3}{4}}}{{(4)}^{\frac{1}{4}}}$
1199	Find the Domain	(x-5)/(x^2+1)-x^2	$\frac{x - 5}{x^{2} + 1} - x^{2}$
1200	Simplify	(6^15)/(6^-7)	$\frac{6^{15}}{6^{- 7}}$