Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
1001	Graph	y=-(2x+3)(x-1)^2	$y = - (2 x + 3) {(x - 1)}^{2}$
1002	Simplify	(x^(2/5)y^(4/10))^-5	${(x^{\frac{2}{5}} y^{\frac{4}{10}})}^{- 5}$
1003	Solve for b	8b+9=7b	$8 b + 9 = 7 b$
1004	Solve for y	square root of (y-3)^2=5	$\sqrt{{(y - 3)}^{2}} = 5$
1005	Solve for x	x=5+ square root of 2x-10	$x = 5 + \sqrt{2 x - 10}$
1006	Factor	x^4+2x^3-2x-1	$x^{4} + 2 x^{3} - 2 x - 1$
1007	Solve for x	3 1/3(1+2x)=5 1/2(2x-1)	$3 \frac{1}{3} (1 + 2 x) = 5 \frac{1}{2} (2 x - 1)$
1008	Solve for x	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
1009	Simplify	( cube root of 6)/( cube root of 32)	$\frac{\sqrt[3]{6}}{\sqrt[3]{32}}$
1010	Divide Using Long Polynomial Division	(8x^4-18x^3+9x^2+4x+2)÷(x^2-2x+1)	$(8 x^{4} - 18 x^{3} + 9 x^{2} + 4 x + 2) \div (x^{2} - 2 x + 1)$
1011	Solve for u	-5u-8=-2u-1+4u	$- 5 u - 8 = - 2 u - 1 + 4 u$
1012	Solve for x	-1/5=-2/3-1/6x	$- \frac{1}{5} = - \frac{2}{3} - \frac{1}{6} x$
1013	Simplify	4a^2b^3*(9a^4b^2-4a^2+3)	$4 a^{2} b^{3} \cdot (9 a^{4} b^{2} - 4 a^{2} + 3)$
1014	Simplify	(14/(9x^3))÷((7x)/(2y^2))	$\frac{14}{9 x^{3}} \div \frac{7 x}{2 y^{2}}$
1015	Simplify	fourth root of a^2b^14	$\sqrt[4]{a^{2} b^{14}}$
1016	Find the Roots (Zeros)	2x^4+8x^3+10x^2+40x	$2 x^{4} + 8 x^{3} + 10 x^{2} + 40 x$
1017	Simplify	(x^(7/8))(x^(1/4))	$(x^{\frac{7}{8}}) (x^{\frac{1}{4}})$
1018	Solve for x	1-5/(x-2)=-20/(x^2-4)	$1 - \frac{5}{x - 2} = - \frac{20}{x^{2} - 4}$
1019	Solve for x	1/4(5/12x-3/4)>x+1/12	$\frac{1}{4} (\frac{5}{12} x - \frac{3}{4}) > x + \frac{1}{12}$
1020	Simplify	( square root of 8x)/( square root of 3y)	$\frac{\sqrt{8 x}}{\sqrt{3 y}}$
1021	Simplify	cube root of x* square root of 2x	$\sqrt[3]{x} \cdot \sqrt{2 x}$
1022	Solve for x	fifth root of x+5=7	$\sqrt[5]{x} + 5 = 7$
1023	Solve for x in Degrees	3cos(x)=3+7cos(x)	$3 \cos (x) = 3 + 7 \cos (x)$
1024	Simplify	(2 square root of 3-3)/(6- square root of 3)	$\frac{2 \sqrt{3} - 3}{6 - \sqrt{3}}$
1025	Factor	p(c-d)+c-d	$p (c - d) + c - d$
1026	Solve for m	(m+2)(m+3)=(m+2)(m-2)	$(m + 2) (m + 3) = (m + 2) (m - 2)$
1027	Simplify	((4x^4y^2)/(6xy))^2	${(\frac{4 x^{4} y^{2}}{6 x y})}^{2}$
1028	Solve for p	5/8p-3/4=4	$\frac{5}{8} p - \frac{3}{4} = 4$
1029	Solve for a	square root of a^2=17	$\sqrt{a^{2}} = 17$
1030	Simplify	(2i-1)^3	${(2 i - 1)}^{3}$
1031	Solve the Inequality for x	-2 cube root of x+4<12	$- 2 \sqrt[3]{x + 4} < 12$
1032	Factor	3a(2x-7)+5b(7-2x)	$3 a (2 x - 7) + 5 b (7 - 2 x)$
1033	Solve for w	-6+8w=-4-7+7w	$- 6 + 8 w = - 4 - 7 + 7 w$
1034	Simplify	(2a^2)^3+(a^4)(3a^2)	${(2 a^{2})}^{3} + (a^{4}) (3 a^{2})$
1035	Find the Antiderivative	f(x)=(x^2)/4+2/(3x^2)- square root of x+pi	$f (x) = \frac{x^{2}}{4} + \frac{2}{3 x^{2}} - \sqrt{x} + π$
1036	Solve for x	(1/8)^(x/2-1)=(1/4)^(x/3)	${(\frac{1}{8})}^{\frac{x}{2} - 1} = {(\frac{1}{4})}^{\frac{x}{3}}$
1037	Solve for x	x^9-x^5+x^4-1=0	$x^{9} - x^{5} + x^{4} - 1 = 0$
1038	Solve for f	6+4f=6(2f+7)+10f	$6 + 4 f = 6 (2 f + 7) + 10 f$
1039	Simplify	6t-1+t+2-7t	$6 t - 1 + t + 2 - 7 t$
1040	Simplify	(3 cube root of 2)/( cube root of 3)	$\frac{3 \sqrt[3]{2}}{\sqrt[3]{3}}$
1041	Evaluate	(x-5)^4=256	${(x - 5)}^{4} = 256$
1042	Simplify	(4+2/x)/(3-2/x)	$\frac{4 + \frac{2}{x}}{3 - \frac{2}{x}}$
1043	Solve by Substitution	x-3y=-15 x=-3	$x - 3 y = - 15$ $x = - 3$
1044	Solve for f	-7f-10=-2+f+8	$- 7 f - 10 = - 2 + f + 8$
1045	Simplify	(x^2-3x-3)+(2x^2+7x-2)	$(x^{2} - 3 x - 3) + (2 x^{2} + 7 x - 2)$
1046	Solve for x	7x+10=1/3(12x-3)+14x	$7 x + 10 = \frac{1}{3} (12 x - 3) + 14 x$
1047	Evaluate	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
1048	Evaluate the Limit	limit as x approaches 0 of (2/( square root of x+4)-1/( square root of x+1))/(x square root of x+3)	$lim_{x \to 0} \frac{\frac{2}{\sqrt{x + 4}} - \frac{1}{\sqrt{x + 1}}}{x \sqrt{x + 3}}$
1049	Solve by Graphing	y=-1/2x-2 y=-3/2x+2	$y = - \frac{1}{2} x - 2$ $y = - \frac{3}{2} x + 2$
1050	Solve for x	2 square root of x+8=3 square root of x-2	$2 \sqrt{x + 8} = 3 \sqrt{x - 2}$
1051	Find the Antiderivative	(x^2)/(x+1)	$\frac{x^{2}}{x + 1}$
1052	Divide	(-1/2a^3b^4-1/3a^2b^2+2/5a^5b-a^2b^3)÷(-5a^3b^2)	$(- \frac{1}{2} a^{3} b^{4} - \frac{1}{3} a^{2} b^{2} + \frac{2}{5} a^{5} b - a^{2} b^{3}) \div (- 5 a^{3} b^{2})$
1053	Find dy/dx	x^2y-x/y=-2	$x^{2} y - \frac{x}{y} = - 2$
1054	Write in Exponential Form	cube root of fourth root of 228	$\sqrt[3]{\sqrt[4]{228}}$
1055	Solve for c	c=-9-8c	$c = - 9 - 8 c$
1056	Simplify	(28d^3k^2+d^2k^2-4dk^2)(4dk^2)^-1	$(28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}) {(4 d k^{2})}^{- 1}$
1057	Solve for a	d(a-n)=q	$d (a - n) = q$
1058	Solve for b	ab-2=3c	$a b - 2 = 3 c$
1059	Solve by Substitution	y=2x -6x+3y=16	$y = 2 x$ $- 6 x + 3 y = 16$
1060	Simplify the Radical Expression	-3 sixth root of 3-2 sixth root of 192- sixth root of 320	$- 3 \sqrt[6]{3} - 2 \sqrt[6]{192} - \sqrt[6]{320}$
1061	Solve for a	(8-9a)a=-40+(6-3a)(6+3a)	$(8 - 9 a) a = - 40 + (6 - 3 a) (6 + 3 a)$
1062	Find the Coterminal Angle	-1323 degrees	$- 1323 °$
1063	Solve for f	-8f=-7f-8	$- 8 f = - 7 f - 8$
1064	Simplify	( cube root of 48x^3y^7)/( cube root of 8x^5y)	$\frac{\sqrt[3]{48 x^{3} y^{7}}}{\sqrt[3]{8 x^{5} y}}$
1065	Solve for m	cube root of 5m+2=3	$\sqrt[3]{5 m + 2} = 3$
1066	Evaluate	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
1067	Solve the Inequality for a	1/2a<20	$\frac{1}{2} a < 20$
1068	Solve for r	-10-5r=-6r-1	$- 10 - 5 r = - 6 r - 1$
1069	Simplify	(a-2)/(8a)+(2a+5)/(8a)-(3-a)/(8a)	$\frac{a - 2}{8 a} + \frac{2 a + 5}{8 a} - \frac{3 - a}{8 a}$
1070	Solve for v	-1+10v+3=-5+9v	$- 1 + 10 v + 3 = - 5 + 9 v$
1071	Find the Antiderivative	f(x)=2x^3-4x^2+2x	$f (x) = 2 x^{3} - 4 x^{2} + 2 x$
1072	Find the Derivative Using Chain Rule - d/dx	fx=sin(e^(2x)+6x^2)	$f x = \sin (e^{2 x} + 6 x^{2})$
1073	Evaluate the Function	f(x)=1/3(6)^x for x=3	$f (x) = \frac{1}{3} {(6)}^{x}$ for $x = 3$
1074	Simplify	(x^3y^3)^3*xy^2	${(x^{3} y^{3})}^{3} \cdot x y^{2}$
1075	Solve for m	-7+4m=8+4m+5m	$- 7 + 4 m = 8 + 4 m + 5 m$
1076	Graph	7x+3y<=-24 x+3y<=-6	$7 x + 3 y \leq - 24$ $x + 3 y \leq - 6$
1077	Simplify	(i-2)^2(i+2)	${(i - 2)}^{2} (i + 2)$
1078	Simplify	(6f^-2g^3h^5)/(54f^-2g^-5h^3)	$\frac{6 f^{- 2} g^{3} h^{5}}{54 f^{- 2} g^{- 5} h^{3}}$
1079	Find the Domain	((2a-b)^2)÷((4a^3-ab^2)/3)	${(2 a - b)}^{2} \div \frac{4 a^{3} - a b^{2}}{3}$
1080	Solve for x	square root of 3x+2- square root of 2x+7=0	$\sqrt{3 x + 2} - \sqrt{2 x + 7} = 0$
1081	Solve for p	-2p=-3p+8	$- 2 p = - 3 p + 8$
1082	Simplify the Radical Expression	fourth root of a^2b^14	$\sqrt[4]{a^{2} b^{14}}$
1083	Graph	f(x)=-x+4 if X<1; 2x+1 if x>=1	$f (x) = {\begin{cases} - x + 4 & X < 1 \\ 2 x + 1 & x \geq 1 \end{cases}$
1084	Graph	y<=x/2-3	$y \leq \frac{x}{2} - 3$
1085	Simplify	square root of 2x^3y* square root of 6x^2y^2	$\sqrt{2 x^{3} y} \cdot \sqrt{6 x^{2} y^{2}}$
1086	Solve for t	250=62.5 cube root of t+75.8	$250 = 62.5 \sqrt[3]{t} + 75.8$
1087	Simplify	3(j+0.2j)	$3 (j + 0.2 j)$
1088	Solve for q	6+8(4q-9)=10q	$6 + 8 (4 q - 9) = 10 q$
1089	Simplify	((c^2y)/(2d^2))/((c^6)/(5d))	$\frac{\frac{c^{2} y}{2 d^{2}}}{\frac{c^{6}}{5 d}}$
1090	Simplify	(2x^5y^2)(4xy^3)+(x^4y^4)(3x^2y)	$(2 x^{5} y^{2}) (4 x y^{3}) + (x^{4} y^{4}) (3 x^{2} y)$
1091	Solve for n	-3-10n-2n=-10-5n	$- 3 - 10 n - 2 n = - 10 - 5 n$
1092	Find the Derivative - d/dx	y=1/(sin(20x))	$y = \frac{1}{\sin (20 x)}$
1093	Simplify	( cube root of w* square root of w^5)/( square root of 25w^16)	$\frac{\sqrt[3]{w} \cdot \sqrt{w^{5}}}{\sqrt{25 w^{16}}}$
1094	Factor	c^3-c^4+2c^5	$c^{3} - c^{4} + 2 c^{5}$
1095	Simplify	( square root of 2x^9)/( square root of x^6)	$\frac{\sqrt{2 x^{9}}}{\sqrt{x^{6}}}$
1096	Find the Domain	f(x) = log base 1-x of x	$f (x) = \log_{1 - x} (x)$
1097	Multiply	-3ab (5a-8b)	$- 3 a b$ $(5 a - 8 b)$
1098	Solve for x	4 square root of x-2>20	$4 \sqrt{x - 2} > 20$
1099	Graph	X>-2 and y<-1	$X > - 2$ and $y < - 1$
1100	Solve for z	z+64/(z+4)=12	$z + \frac{64}{z + 4} = 12$