Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3001	Simplify	(7- square root of 5)/(4+ square root of 5)	$\frac{7 - \sqrt{5}}{4 + \sqrt{5}}$
3002	Simplify the Radical Expression	square root of 16x	$\sqrt{16 x}$
3003	Identify the Sequence	1/2 , 7/6 , 11/6 , 5/2	$\frac{1}{2}$ , $\frac{7}{6}$ , $\frac{11}{6}$ , $\frac{5}{2}$
3004	Simplify	((2pq)(3p^2q^4))/(-6pq^5)	$\frac{(2 p q) (3 p^{2} q^{4})}{- 6 p q^{5}}$
3005	Evaluate the Limit	limit as x approaches -3 of \|x+1\|+3/x	$lim_{x \to - 3} \| x + 1 \| + \frac{3}{x}$
3006	Factor	F(X)=x^2-5x+6	$F (X) = x^{2} - 5 x + 6$
3007	Evaluate	(1/(216^(-2/3)))	$(\frac{1}{216^{- \frac{2}{3}}})$
3008	Find the Perpendicular Line	y+2=1/3(x-5) , (-4,3)	$y + 2 = \frac{1}{3} (x - 5)$ , $(- 4, 3)$
3009	Describe the Transformation	f(x)=-(4/3)^(2(x-3))+1	$f (x) = - {(\frac{4}{3})}^{2 (x - 3)} + 1$
3010	Find the Inverse	f(x)=- cube root of (2x+4)/3	$f (x) = - \sqrt[3]{\frac{2 x + 4}{3}}$
3011	Simplify	1/(i+2)	$\frac{1}{i + 2}$
3012	Evaluate the Summation	sum from 6 to 17 of (n-8)/(n+5)	$\sum_{6}^{17} \frac{n - 8}{n + 5}$
3013	Determine if Odd, Even, or Neither	f(x)=(x-2)^2(x+3)(x+1)^2	$f (x) = {(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
3014	Simplify	x(4x+5)+3(2x^2-4x+1)	$x (4 x + 5) + 3 (2 x^{2} - 4 x + 1)$
3015	Solve the System of Equations	3x-18y+6z=7 7x-2y+z=1 -x+6y-2z=-2	$3 x - 18 y + 6 z = 7$ $7 x - 2 y + z = 1$ $- x + 6 y - 2 z = - 2$
3016	Solve for x	(2x+5)/10=42/20	$\frac{2 x + 5}{10} = \frac{42}{20}$
3017	Simplify the Radical Expression	fourth root of 1/256	$\sqrt[4]{\frac{1}{256}}$
3018	Find the Derivative - d/dx	d/(dx)(arcsec(sin(x)))	$\frac{d}{d x} (arcsec (\sin (x)))$
3019	Simplify	(3x)/(4x^2+4)-(2x^2)/(x^4-1)	$\frac{3 x}{4 x^{2} + 4} - \frac{2 x^{2}}{x^{4} - 1}$
3020	Solve for x	1-5/(x-1)=-10/(x^2-1)	$1 - \frac{5}{x - 1} = - \frac{10}{x^{2} - 1}$
3021	Simplify	(24x^5)/(18x^2-12x^3)	$\frac{24 x^{5}}{18 x^{2} - 12 x^{3}}$
3022	Find the Domain	(mx^2-my^2)/(2m+8)*(3m+12)/(my+mx)	$\frac{m x^{2} - m y^{2}}{2 m + 8} \cdot \frac{3 m + 12}{m y + m x}$
3023	Simplify the Radical Expression	square root of -6* square root of -12* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 12} \cdot \sqrt{- 5}$
3024	Factor	15a-3ab+4b-20	$15 a - 3 a b + 4 b - 20$
3025	Find the Exact Value	tan(-225 degrees )+tan(405 degrees )	$\tan (- 225 °) + \tan (405 °)$
3026	Solve the System of Equations	x+y=27 y=x+3	$x + y = 27$ $y = x + 3$
3027	Solve the Inequality for x	3(2x-3)<(-5)\|7-10\|	$3 (2 x - 3) < (- 5) \| 7 - 10 \|$
3028	Simplify	((2a^2+14a)/(8a^2))÷(10a+70)	$\frac{2 a^{2} + 14 a}{8 a^{2}} \div (10 a + 70)$
3029	Find Amplitude, Period, and Phase Shift	y=sin(2/3x-pi/2)-11	$y = \sin (\frac{2}{3} x - \frac{π}{2}) - 11$
3030	Simplify	(x^2-x)/(x^2+x)	$\frac{x^{2} - x}{x^{2} + x}$
3031	Find the Antiderivative	x*e^(-x)	$x \cdot e^{- x}$
3032	Simplify	(-3g^-2hk^-2)/(-6h^0)	$\frac{- 3 g^{- 2} h k^{- 2}}{- 6 h^{0}}$
3033	Solve by Graphing	2x+y=8 x=5	$2 x + y = 8$ $x = 5$
3034	Solve for f	-8(1.14+1.6f)=-(1.92+4.8f)	$- 8 (1.14 + 1.6 f) = - (1.92 + 4.8 f)$
3035	Solve for h	5h-9=-16+6h	$5 h - 9 = - 16 + 6 h$
3036	Simplify	( cube root of 729)^-2	${(\sqrt[3]{729})}^{- 2}$
3037	Find the Derivative - d/dx	y=arctan( square root of x-5)	$y = \arctan (\sqrt{x - 5})$
3038	Find the Equation Using Slope-Intercept Form	(1,-5) ; slope -3/2	$(1, - 5)$ ; slope $- \frac{3}{2}$
3039	Evaluate the Integral	integral of (5+x)^2 with respect to x	$\int {(5 + x)}^{2} d x$
3040	Simplify	((-2mn^2)^-3)/(4m^-6n^4)	$\frac{{(- 2 m n^{2})}^{- 3}}{4 m^{- 6} n^{4}}$
3041	Simplify	(5x(x-y))/(x^3(y-x))	$\frac{5 x (x - y)}{x^{3} (y - x)}$
3042	Factor	f(x)=64x^3-240x^2+300x-125 ?	$f (x) = 64 x^{3} - 240 x^{2} + 300 x - 125$ ?
3043	Simplify	2x+3y-2/3x+1 1/2y	$2 x + 3 y - \frac{2}{3} x + 1 \frac{1}{2} y$
3044	Divide	( square root of 12)/( fourth root of 3)	$\frac{\sqrt{12}}{\sqrt[4]{3}}$
3045	Evaluate the Integral	integral from -5 to 9 of (2(2x+9)^(1/3))/3 with respect to x	$\int_{- 5}^{9} \frac{2 {(2 x + 9)}^{\frac{1}{3}}}{3} d x$
3046	Solve for x	-2(11-12x)=-4(1-6x)	$- 2 (11 - 12 x) = - 4 (1 - 6 x)$
3047	Solve for x	(1/16)^(3x)=64^(2(x+8))	${(\frac{1}{16})}^{3 x} = 64^{2 (x + 8)}$
3048	Solve for G	3+q^2=G/R	$3 + q^{2} = \frac{G}{R}$
3049	Simplify the Radical Expression	(64x^3y^-12)^(1/6)	${(64 x^{3} y^{- 12})}^{\frac{1}{6}}$
3050	Factor	8a(x+y)-(x+y)	$8 a (x + y) - (x + y)$
3051	Simplify	(4a-3b)/(3ab)+3/6	$\frac{4 a - 3 b}{3 a b} + \frac{3}{6}$
3052	Solve for x	2(8-x)=3x	$2 (8 - x) = 3 x$
3053	Find the Second Derivative	y=(5x^2-3)(7x^3+x)	$y = (5 x^{2} - 3) (7 x^{3} + x)$
3054	Write in y=mx+b Form	2(x-3)+3y=0	$2 (x - 3) + 3 y = 0$
3055	Simplify	square root of (x+15)^4	$\sqrt{{(x + 15)}^{4}}$
3056	Write the Fraction in Simplest Form	1/(2+ square root of 5)	$\frac{1}{2 + \sqrt{5}}$
3057	Solve for z	4=8/(5+z)	$4 = \frac{8}{5 + z}$
3058	Simplify	k(k^3)	$k (k^{3})$
3059	Simplify	(-p+q)(-1-q)	$(- p + q) (- 1 - q)$
3060	Find the Antiderivative	x/((x+1)^2)	$\frac{x}{{(x + 1)}^{2}}$
3061	Simplify	((3x)^-3y^4)/(-x^2y^-6)	$\frac{{(3 x)}^{- 3} y^{4}}{- x^{2} y^{- 6}}$
3062	Solve for y	3/5y+7=3-1/5y	$\frac{3}{5} y + 7 = 3 - \frac{1}{5} y$
3063	Solve the Function Operation	3^(2x)=6 , 561	$3^{2 x} = 6$ , $561$
3064	Add	(6x)/(x^2-8x)+4/(2x-16)	$\frac{6 x}{x^{2} - 8 x} + \frac{4}{2 x - 16}$
3065	Simplify	(c^2-cd-d^2)(c+d)	$(c^{2} - c d - d^{2}) (c + d)$
3066	Simplify the Radical Expression	6 square root of 5+2 square root of 5-3 square root of 5	$6 \sqrt{5} + 2 \sqrt{5} - 3 \sqrt{5}$
3067	Evaluate	5^(3-2x)=5^(-x)	$5^{3 - 2 x} = 5^{- x}$
3068	Factor	x(y-5)-y(5-y)	$x (y - 5) - y (5 - y)$
3069	Evaluate	((3m^-5n^2)/(4m^-2n^0))^2*((mn^4)/(9n))^2	${(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}})}^{2} \cdot {(\frac{m n^{4}}{9 n})}^{2}$
3070	Solve for x	cube root of 5x+10- cube root of x-4=0	$\sqrt[3]{5 x + 10} - \sqrt[3]{x - 4} = 0$
3071	Divide Using Long Polynomial Division	(x^4+2x^2-x+5)÷(x^2-x+1)	$(x^{4} + 2 x^{2} - x + 5) \div (x^{2} - x + 1)$
3072	Simplify	4x^0+5	$4 x^{0} + 5$
3073	Simplify	((8b^4)/(4b^2))^3	${(\frac{8 b^{4}}{4 b^{2}})}^{3}$
3074	Find the Roots (Zeros)	y=2x^3+x^2-x	$y = 2 x^{3} + x^{2} - x$
3075	Find Amplitude, Period, and Phase Shift	y=-2cos(-x/2)	$y = - 2 \cos (- \frac{x}{2})$
3076	Simplify	((9m+63)/(m^2+11m+28))÷(9/(8m+32))	$\frac{9 m + 63}{m^{2} + 11 m + 28} \div \frac{9}{8 m + 32}$
3077	Simplify the Radical Expression	-3 square root of 20- square root of 5	$- 3 \sqrt{20} - \sqrt{5}$
3078	Solve for y	5y+2-2y=8y-4-2y	$5 y + 2 - 2 y = 8 y - 4 - 2 y$
3079	Find the Antiderivative	4e^(-2x)+(x-1)^3	$4 e^{- 2 x} + {(x - 1)}^{3}$
3080	Solve for x	2x^2-x+55=x+5	$2 x^{2} - x + 55 = x + 5$
3081	Describe the Transformation	f(x)=(4/5)^(x+2)	$f (x) = {(\frac{4}{5})}^{x + 2}$
3082	Simplify	sixth root of (t^-8)/(t^-4)	$\sqrt[6]{\frac{t^{- 8}}{t^{- 4}}}$
3083	Simplify	square root of 15* square root of 35/12	$\sqrt{15} \cdot \sqrt{\frac{35}{12}}$
3084	Simplify	9x^3+2x^2+5x^3+4x^2	$9 x^{3} + 2 x^{2} + 5 x^{3} + 4 x^{2}$
3085	Simplify	(5y^2+10y)/(6y^4+12y^3)	$\frac{5 y^{2} + 10 y}{6 y^{4} + 12 y^{3}}$
3086	Simplify	(3x)/(x+6)+(2x)/(x+6)	$\frac{3 x}{x + 6} + \frac{2 x}{x + 6}$
3087	Write in Exponential Form	fourth root of x- fourth root of x^3	$\sqrt[4]{x} - \sqrt[4]{x^{3}}$
3088	Simplify	(4x^-3y^4)/(8x^2(y^-3)^2)	$\frac{4 x^{- 3} y^{4}}{8 x^{2} {(y^{- 3})}^{2}}$
3089	Simplify	(1/3-i/6)/(2/3-i/3)	$\frac{(\frac{1}{3} - \frac{i}{6})}{(\frac{2}{3} - \frac{i}{3})}$
3090	Find the Slope of the Tangent Line at (1/2,16)	f(t)=t^-4 ;, (1/2,16)	$f (t) = t^{- 4}$ ;, $(\frac{1}{2}, 16)$
3091	Simplify	4-5/(4m+8)	$4 - \frac{5}{4 m + 8}$
3092	Simplify	(36x^-4y^8)/(12y^7)	$\frac{36 x^{- 4} y^{8}}{12 y^{7}}$
3093	Simplify	(8x+12)+(-4)(2x+3)	$(8 x + 12) + (- 4) (2 x + 3)$
3094	Find Where Increasing/Decreasing	x^5+10x^4+25x^3	$x^{5} + 10 x^{4} + 25 x^{3}$
3095	Graph	f(x)=-1/3*6^x+5	$f (x) = - \frac{1}{3} \cdot 6^{x} + 5$
3096	Find the Derivative - d/dx	2/3(x-1)^(3/2)	$\frac{2}{3} {(x - 1)}^{\frac{3}{2}}$
3097	Solve for y	square root of y^4+2y^2+1=y^2+1	$\sqrt{y^{4} + 2 y^{2} + 1} = y^{2} + 1$
3098	Solve for w	( fourth root of 7w-5)/2 = fourth root of w-2	$\frac{\sqrt[4]{7 w - 5}}{2} = \sqrt[4]{w - 2}$
3099	Simplify	3 square root of -12*2 square root of -2	$3 \sqrt{- 12} \cdot 2 \sqrt{- 2}$
3100	Solve the Inequality for a	8a+2(1-5a)<=20	$8 a + 2 (1 - 5 a) \leq 20$