Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14901	Simplify	(a+4)/(25a-5)+(5a)/(25a-5)	$\frac{a + 4}{25 a - 5} + \frac{5 a}{25 a - 5}$
14902	Simplify	cube root of 64x^4* square root of 16x	$\sqrt[3]{64 x^{4}} \cdot \sqrt{16 x}$
14903	Multiply	(2x+3y+5)^2	${(2 x + 3 y + 5)}^{2}$
14904	Solve for x	1/6(12x+48)=-1/8(8x-16)+3x	$\frac{1}{6} (12 x + 48) = - \frac{1}{8} (8 x - 16) + 3 x$
14905	Simplify	( fourth root of x^2)/( cube root of x^3)	$\frac{\sqrt[4]{x^{2}}}{\sqrt[3]{x^{3}}}$
14906	Integrate Using u-Substitution	integral of x(5x^2+4)^3 with respect to x	$\int x {(5 x^{2} + 4)}^{3} d x$
14907	Graph	y=2x^2-4 y=-2x	$y = 2 x^{2} - 4$ $y = - 2 x$
14908	Find the Exact Value	sin(arccos(-4/( square root of 25)))	$\sin (\arccos (- \frac{4}{\sqrt{25}}))$
14909	Simplify	( square root of c^3)/( fourth root of c^5)	$\frac{\sqrt{c^{3}}}{\sqrt[4]{c^{5}}}$
14910	Solve the System of Equations	y+17=3(x+6)-14 y+15=x+6	$y + 17 = 3 (x + 6) - 14$ $y + 15 = x + 6$
14911	Simplify the Radical Expression	( square root of 3a)/( square root of 27a^7)	$\frac{\sqrt{3 a}}{\sqrt{27 a^{7}}}$
14912	Find the Antiderivative	1/(x(x+3))	$\frac{1}{x (x + 3)}$
14913	Graph	f(x)=3cot(2x)-1	$f (x) = 3 \cot (2 x) - 1$
14914	Simplify	(6^2*6^5)^-6	${(6^{2} \cdot 6^{5})}^{- 6}$
14915	Simplify	(x+3)/(4x)(3x-18)/(6x+18)(x^2)/(4x+12)	$\frac{x + 3}{4 x} \cdot \frac{3 x - 18}{6 x + 18} \cdot \frac{x^{2}}{4 x + 12}$
14916	Simplify	(1-a/(a-b))/(1/(a-b))	$\frac{1 - \frac{a}{a - b}}{\frac{1}{a - b}}$
14917	Simplify	2(8^(1/5))+10(8^(1/5))	$2 (8^{\frac{1}{5}}) + 10 (8^{\frac{1}{5}})$
14918	Solve for x	x^6-9x^4-x^2+9=0	$x^{6} - 9 x^{4} - x^{2} + 9 = 0$
14919	Find the Exact Value	4sin(90 degrees )-3tan(180 degrees )	$4 \sin (90 °) - 3 \tan (180 °)$
14920	Find the Antiderivative	-1/((6x+1)^2)	$- \frac{1}{{(6 x + 1)}^{2}}$
14921	Solve for y	log of 6- log of -2y-3 = log of 4	$\log (6) - \log (- 2 y - 3) = \log (4)$
14922	Solve for x	square root of 6-x=-16	$\sqrt{6 - x} = - 16$
14923	Solve for x	-1+1/2=-3/(2x)	$- 1 + \frac{1}{2} = \frac{- 3}{2 x}$
14924	Solve the System of Equations	y=x^2-5x x+y=21	$y = x^{2} - 5 x$ $x + y = 21$
14925	Evaluate the Limit	limit as x approaches -2 of 2x-4=-8	$lim_{x \to - 2} 2 x - 4 = - 8$
14926	Evaluate the Limit	limit as t approaches 10 of (2(t-10)^2)/t	$lim_{t \to 10} \frac{2 {(t - 10)}^{2}}{t}$
14927	Evaluate	2a+3b=5	$2 a + 3 b = 5$
14928	Write in Exponential Form	fifth root of 3^4* fifth root of 3^6	$\sqrt[5]{3^{4}} \cdot \sqrt[5]{3^{6}}$
14929	Simplify	(4+ square root of 5)/( square root of 5-2)	$\frac{4 + \sqrt{5}}{\sqrt{5} - 2}$
14930	Simplify	(2^5*8^2)/(16^-3)	$\frac{2^{5} \cdot 8^{2}}{16^{- 3}}$
14931	Evaluate	1/x+1/(x-2)=1/4	$\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}$
14932	Solve by Factoring	12n^2+48n=-n^3-64	$12 n^{2} + 48 n = - n^{3} - 64$
14933	Evaluate	56-(7+9)+24÷8	$56 - (7 + 9) + 24 \div 8$
14934	Solve for a	2x+3y=3 ax+by=6	$2 x + 3 y = 3$ $a x + b y = 6$
14935	Solve for x	cube root of 4x^2+2=x+2	$\sqrt[3]{4 x^{2}} + 2 = x + 2$
14936	Find the Derivative - d/dx	d/(dx)(e^xsin(x)+e^xcos(x))	$\frac{d}{d x} (e^{x} \sin (x) + e^{x} \cos (x))$
14937	Solve the System of Equations	x+y-3z=-20 -3y+2z=5 z=4	$x + y - 3 z = - 20$ $- 3 y + 2 z = 5$ $z = 4$
14938	Simplify the Radical Expression	2/( square root of x)	$\frac{2}{\sqrt{x}}$
14939	Evaluate the Integral	integral of sin(3x)+e^(2x+1) with respect to x	$\int \sin (3 x) + e^{2 x + 1} d x$
14940	Describe the Transformation	y = square root of 2x	$y = \sqrt{2 x}$
14941	Solve the Inequality for g	4-5g>39	$4 - 5 g > 39$
14942	Find the Asymptotes	f(x)=(x^3+3x^2)/(x^2+2x-3)	$f (x) = \frac{x^{3} + 3 x^{2}}{x^{2} + 2 x - 3}$
14943	Add	(w^3-2w^2-5)+(3w^2-11)	$(w^{3} - 2 w^{2} - 5) + (3 w^{2} - 11)$
14944	Evaluate	ba^4*(2ba^4)^-3	$b a^{4} \cdot {(2 b a^{4})}^{- 3}$
14945	Factor	x^3-kx^2+2x	$x^{3} - k x^{2} + 2 x$
14946	Solve for x	(x^2)/5-x/3=-2/15	$\frac{x^{2}}{5} - \frac{x}{3} = - \frac{2}{15}$
14947	Solve for y	x=(y^2)/2	$x = \frac{y^{2}}{2}$
14948	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (4 natural log of 3x-2)/(2-2x^2)	$lim_{x \to 1} \frac{4 \ln (3 x - 2)}{2 - 2 x^{2}}$
14949	Simplify	(1/9-1/x)/(1/81-1/(x^2))	$\frac{\frac{1}{9} - \frac{1}{x}}{\frac{1}{81} - \frac{1}{x^{2}}}$
14950	Find the Percentage Rate of Change	g(t)=240(0.75)^t	$g (t) = 240 {(0.75)}^{t}$
14951	Solve by Graphing	y=-1/4x+3 y=-3/2x-2	$y = - \frac{1}{4} x + 3$ $y = - \frac{3}{2} x - 2$
14952	Simplify	((256x^20)/(y^8))^(-1/4)	${(\frac{256 x^{20}}{y^{8}})}^{- \frac{1}{4}}$
14953	Graph	x+y>4 2x-y<=3	$x + y > 4$ $2 x - y \leq 3$
14954	Evaluate the Limit	limit as x approaches 0 of square root of 7+2e^(2x)	$lim_{x \to 0} \sqrt{7 + 2 e^{2 x}}$
14955	Simplify	(6a+6)+(3x-2)+(2a+4)	$(6 a + 6) + (3 x - 2) + (2 a + 4)$
14956	Find the Exact Value	arcos (-1/2)	arcos $(- \frac{1}{2})$
14957	Evaluate	1/((2pi)/3)	$\frac{1}{\frac{2 π}{3}}$
14958	Simplify	-2/(5-i)	$\frac{- 2}{5 - i}$
14959	Add	3/2+9/4+27/8+81/16+243/32	$\frac{3}{2} + \frac{9}{4} + \frac{27}{8} + \frac{81}{16} + \frac{243}{32}$
14960	Divide Using Synthetic Division	x^3+10x^2+17x-12 by x+3	$x^{3} + 10 x^{2} + 17 x - 12$ by $x + 3$
14961	Simplify	((5 square root of 96)/6)÷((2 square root of 24)/5)	$\frac{5 \sqrt{96}}{6} \div \frac{2 \sqrt{24}}{5}$
14962	Simplify	- natural log of e^(3/2x)	$- \ln (e^{\frac{3}{2} x})$
14963	Solve for c	2x^3-8x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 8 x^{2} - 24 x = a x (x + b) (x + c)$
14964	Graph	f(x)=1/( square root of 1-x^2)	$f (x) = \frac{1}{\sqrt{1 - x^{2}}}$
14965	Simplify	(x+1)/( square root of x-1)	$\frac{x + 1}{\sqrt{x} - 1}$
14966	Find the Antiderivative	natural log of x-1	$\ln (x - 1)$
14967	Determine if a Polynomial	(x^5)/8	$\frac{x^{5}}{8}$
14968	Simplify	square root of (3 square root of 2- square root of 14)^2	$\sqrt{{(3 \sqrt{2} - \sqrt{14})}^{2}}$
14969	Solve for x	(4x)/(6x+4)=x/25	$\frac{4 x}{6 x + 4} = \frac{x}{25}$
14970	Solve for θ	2sin(theta)*cos(theta)=-cos(theta)	$2 \sin (θ) \cdot \cos (θ) = - \cos (θ)$
14971	Graph	Graph 2x-6y=12	Graph $2 x - 6 y = 12$
14972	Factor	a^3b^2-a	$a^{3} b^{2} - a$
14973	Simplify	(3x)/(2y+3)+(x^2+3x)/(4xy-3-2y+6x)	$\frac{3 x}{2 y + 3} + \frac{(x^{2} + 3 x)}{4 x y - 3 - 2 y + 6 x}$
14974	Simplify	cube root of 18x^3y^5* cube root of 72x^2y	$\sqrt[3]{18 x^{3} y^{5}} \cdot \sqrt[3]{72 x^{2} y}$
14975	Solve for p	1/6(p+24)=10	$\frac{1}{6} (p + 24) = 10$
14976	Divide	(2 square root of 2)/2	$\frac{2 \sqrt{2}}{2}$
14977	Solve for x	-7/4-9/x=(2x+9)/(4x)	$\frac{- 7}{4} - \frac{9}{x} = \frac{2 x + 9}{4 x}$
14978	Find the Domain	(2t(t+1))/(t-1)-(3+t)/(t-1)	$\frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
14979	Solve by Addition/Elimination	4x+3y=8 and x-2y=-13	$4 x + 3 y = 8$ and $x - 2 y = - 13$
14980	Solve for r	w = square root of a/r	$w = \sqrt{\frac{a}{r}}$
14981	Solve for q	8q=18-2p	$8 q = 18 - 2 p$
14982	Write in Standard Form	(5x^3+2x-1+4x^2)+(6-5x+x^3)-(2x^2+5)	$(5 x^{3} + 2 x - 1 + 4 x^{2}) + (6 - 5 x + x^{3}) - (2 x^{2} + 5)$
14983	Add	square root of 5+3 square root of 5+2 square root of 5	$\sqrt{5} + 3 \sqrt{5} + 2 \sqrt{5}$
14984	Graph	y=-x^5+3x^4+x^3-7x^2+4	$y = - x^{5} + 3 x^{4} + x^{3} - 7 x^{2} + 4$
14985	Find the x and y Intercepts	f(x)=2 log of 5(x+4)-6	$f (x) = 2 \log (5) (x + 4) - 6$
14986	Solve the System of Inequalities	-3x+7>-23 OR -29>-3X+7	$- 3 x + 7 > - 23$ OR $- 29 > - 3 X + 7$
14987	Evaluate the Integral	integral of (3x(7^(x^2)))/(7^(x^2)-5) with respect to x	$\int \frac{3 x (7^{x^{2}})}{7^{x^{2}} - 5} d x$
14988	Solve for y	log base 2 of y=x+7	$\log_{2} (y) = x + 7$
14989	Simplify	((3x+y)/(x-y)-3)/(1-(x-3y)/(x+y))	$\frac{\frac{3 x + y}{x - y} - 3}{1 - \frac{x - 3 y}{x + y}}$
14990	Subtract	(-4x^7+2x^9+9+9x^8)-(5-3x^8+8x^9+7x^7)	$(- 4 x^{7} + 2 x^{9} + 9 + 9 x^{8}) - (5 - 3 x^{8} + 8 x^{9} + 7 x^{7})$
14991	Solve for k	28=-k+16-2k-9	$28 = - k + 16 - 2 k - 9$
14992	Find the Tangent Given the Point	((2 square root of 5)/5,-( square root of 5)/5)	$(\frac{2 \sqrt{5}}{5}, - \frac{\sqrt{5}}{5})$
14993	Find the Antiderivative	-1/(x square root of 1-( natural log of x)^2)	$\frac{- 1}{x \sqrt{1 - \ln^{2} (x)}}$
14994	Find dy/dx	-xy^2+x+4-y^3=0	$- x y^{2} + x + 4 - y^{3} = 0$
14995	Find the Exact Value	cos((2pi)/3)^2+sin((2pi)/3)^2	$\cos^{2} (\frac{2 π}{3}) + \sin^{2} (\frac{2 π}{3})$
14996	Simplify	(2c^(2/5))(2^3c^(2/5))	$(2 c^{\frac{2}{5}}) (2^{3} c^{\frac{2}{5}})$
14997	Solve the Function Operation	Given that f(x)=x^2-12x+32 and g(x)=x-4 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 12 x + 32$ and $g (x) = x - 4$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
14998	Simplify	(11a-2b)/(4a)+(2a-3b)/(4a)-(a-b)/(4a)	$\frac{11 a - 2 b}{4 a} + \frac{2 a - 3 b}{4 a} - \frac{a - b}{4 a}$
14999	Simplify	(a/(5b))^-2	${(\frac{a}{5 b})}^{- 2}$
15000	Simplify	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$