Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15001	Simplify	cube root of 8x^6* fourth root of 81x^12	$\sqrt[3]{8 x^{6}} \cdot \sqrt[4]{81 x^{12}}$
15002	Evaluate	((x^(n+5))/y)^2	${(\frac{x^{n + 5}}{y})}^{2}$
15003	Simplify the Radical Expression	square root of 2 square root of 5	$\sqrt{2} \sqrt{5}$
15004	Graph	-4y<=2/3x-2	$- 4 y \leq \frac{2}{3} x - 2$
15005	Solve the Function Operation	Given f(x)=8x^3 and g(x)=3x^2 ; find (f*g)(x)	Given $f (x) = 8 x^{3}$ and $g (x) = 3 x^{2}$ ; find $(f \cdot g) (x)$
15006	Simplify	((6x^2y^3)^2)/(108x^6y)	$\frac{{(6 x^{2} y^{3})}^{2}}{108 x^{6} y}$
15007	Simplify	15 square root of 11+3 square root of 11+5 square root of 11+6 square root of 11	$15 \sqrt{11} + 3 \sqrt{11} + 5 \sqrt{11} + 6 \sqrt{11}$
15008	Solve for b	square root of 2b-15 = square root of b/8	$\sqrt{2 b - 15} = \sqrt{\frac{b}{8}}$
15009	Simplify	(5x^3)(2x)(3x^2)	$(5 x^{3}) (2 x) (3 x^{2})$
15010	Simplify	(1+i square root of 2)-(1-i square root of 2)	$(1 + i \sqrt{2}) - (1 - i \sqrt{2})$
15011	Simplify the Radical Expression	2 square root of 180x^4yz^3	$2 \sqrt{180 x^{4} y z^{3}}$
15012	Simplify	(3k^2+5)+(16x^2+7)	$(3 k^{2} + 5) + (16 x^{2} + 7)$
15013	Find the Product	-7(8+k)	$- 7 (8 + k)$
15014	Find the Derivative - d/dx	( square root of x)/(1+x+x^3)	$\frac{\sqrt{x}}{1 + x + x^{3}}$
15015	Find the Foci	((y-1)^2)/9-x^2=1	$\frac{{(y - 1)}^{2}}{9} - x^{2} = 1$
15016	Simplify	9(3s-3t)-2t-10(8t+s)*9(3s-3t)-2t-10(8t+s)	$9 (3 s - 3 t) - 2 t - 10 (8 t + s) \cdot 9 (3 s - 3 t) - 2 t - 10 (8 t + s)$
15017	Simplify	(x^-6y^-4z^-5)/(x^4y^-3z^8)	$\frac{x^{- 6} y^{- 4} z^{- 5}}{x^{4} y^{- 3} z^{8}}$
15018	Simplify	(8e^-4f^-2)/(18ef^-5)	$\frac{8 e^{- 4} f^{- 2}}{18 e f^{- 5}}$
15019	Evaluate the Integral	integral of (2^x+3^x) with respect to x	$\int (2^{x} + 3^{x}) d x$
15020	Solve for x	x/(x+6)+(2x+7)/(6-x)=1/(x-6)	$\frac{x}{x + 6} + \frac{2 x + 7}{6 - x} = \frac{1}{x - 6}$
15021	Multiply	square root of 30*6 square root of 10	$\sqrt{30} \cdot 6 \sqrt{10}$
15022	Solve for w	A=lw+wh+lh	$A = l w + w h + l h$
15023	Factor	5(4x+3)^2(7x-2)-(4x+3)(7x-2)^2	$5 {(4 x + 3)}^{2} (7 x - 2) - (4 x + 3) {(7 x - 2)}^{2}$
15024	Evaluate	5/9(32-32)	$\frac{5}{9} (32 - 32)$
15025	Solve the Inequality for x	(3x-1)/4-(x-5)/5>-2	$\frac{3 x - 1}{4} - \frac{x - 5}{5} > - 2$
15026	Solve for x	x^2(x^2+31)=180	$x^{2} (x^{2} + 31) = 180$
15027	Simplify the Radical Expression	10 square root of 20-12 square root of 45+9 square root of 24-15 square root of 54	$10 \sqrt{20} - 12 \sqrt{45} + 9 \sqrt{24} - 15 \sqrt{54}$
15028	Solve for m	3\|m+7\|+9<30	$3 \| m + 7 \| + 9 < 30$
15029	Simplify	1/(x^2y^3)+1/(x^2y)	$\frac{1}{x^{2} y^{3}} + \frac{1}{x^{2} y}$
15030	Solve for x	square root of 2x+4+2 square root of x-7=0	$\sqrt{2 x + 4} + 2 \sqrt{x - 7} = 0$
15031	Solve the Inequality for a	a/5<=5	$\frac{a}{5} \leq 5$
15032	Combine Like Terms	-9x-x+3+5	$- 9 x - x + 3 + 5$
15033	Solve for F	r=1/(2A) square root of B^2+C^2-4AF	$r = \frac{1}{2 A} \sqrt{B^{2} + C^{2} - 4 A F}$
15034	Expand the Logarithmic Expression	log of x square root of ( square root of x)/z	$\log (x \sqrt{\frac{\sqrt{x}}{z}})$
15035	Solve for x	( fifth root of 3)^(5x-10)=( eighth root of 3)^(4x)	${(\sqrt[5]{3})}^{5 x - 10} = {(\sqrt[8]{3})}^{4 x}$
15036	Evaluate	12% of 72 is what number?	$12 %$ of $72$ is what number?
15037	Solve for x	3+(2x+7)/x=9/2	$3 + \frac{2 x + 7}{x} = \frac{9}{2}$
15038	Find the Maximum/Minimum Value	y=-7cos((2x)/3-4)+3	$y = - 7 \cos (\frac{2 x}{3} - 4) + 3$
15039	Evaluate	( cube root of x* square root of x^3)/( square root of 25x)	$\frac{\sqrt[3]{x} \cdot \sqrt{x^{3}}}{\sqrt{25 x}}$
15040	Simplify	( cube root of 27a^9)^2	${(\sqrt[3]{27 a^{9}})}^{2}$
15041	Factor	x^4-16x^2=x^2+18	$x^{4} - 16 x^{2} = x^{2} + 18$
15042	Simplify	square root of (3- square root of 15)^2- square root of (3+ square root of 15)^2	$\sqrt{{(3 - \sqrt{15})}^{2}} - \sqrt{{(3 + \sqrt{15})}^{2}}$
15043	Evaluate the Limit	limit as x approaches infinity of 1/( square root of x) integral from 1 to x of 1/( square root of t) with respect to t	$lim_{x \to \infty} \frac{1}{\sqrt{x}} \int_{1}^{x} \frac{1}{\sqrt{t}} d t$
15044	Find the Derivative - d/dx	y=1/(e^(2x))	$y = \frac{1}{e^{2 x}}$
15045	Solve for t	5-4t=6	$5 - 4 t = 6$
15046	Simplify	3x^2y cube root of 8x^10y^8	$3 x^{2} y \sqrt[3]{8 x^{10} y^{8}}$
15047	Evaluate the Integral	integral of 6/(2x+3x^2) with respect to x	$\int \frac{6}{2 x + 3 x^{2}} d x$
15048	Evaluate	(-1/8)/(-1/8+1)-1	$\frac{- \frac{1}{8}}{- \frac{1}{8} + 1} - 1$
15049	Solve for x	1/2x-1/3=4-x	$\frac{1}{2} x - \frac{1}{3} = 4 - x$
15050	Solve the Inequality for x	(\|x+8\|)/7>=1	$\frac{\| x + 8 \|}{7} \geq 1$
15051	Solve the Inequality for x	-3<=2/3x-5<-1	$- 3 \leq \frac{2}{3} x - 5 < - 1$
15052	Rationalize the Denominator	-8/(4+ square root of 13)	$\frac{- 8}{4 + \sqrt{13}}$
15053	Graph	y=2x-2 x=4	$y = 2 x - 2$ $x = 4$
15054	Find the Percentage Rate of Change	y=10(1+0.4)^t	$y = 10 {(1 + 0.4)}^{t}$
15055	Simplify	(5m^(4/3)5n^(1/4))(m^(1/3)2n^(1/8))	$(5 m^{\frac{4}{3}} \cdot 5 n^{\frac{1}{4}}) (m^{\frac{1}{3}} \cdot 2 n^{\frac{1}{8}})$
15056	Find the Exact Value	sec(arctan( square root of 3))	$\sec (\arctan (\sqrt{3}))$
15057	Simplify	(x^2+1)/(x^2-1)+1/(x+1)+1/(x-1)	$\frac{x^{2} + 1}{x^{2} - 1} + \frac{1}{x + 1} + \frac{1}{x - 1}$
15058	Evaluate the Integral	integral of [3x^3(x^5+4/(x^4))] with respect to x	$\int [3 x^{3} (x^{5} + \frac{4}{x^{4}})] d x$
15059	Solve the Inequality for x	1/x+3>4	$\frac{1}{x} + 3 > 4$
15060	Evaluate	5* log base 7 of 7	$5 \cdot \log_{7} (7)$
15061	Solve for x	14+5/7x-20=4(1/7x-1)	$14 + \frac{5}{7} x - 20 = 4 (\frac{1}{7} x - 1)$
15062	Find the Antiderivative	(x^2)/(x+2)	$\frac{x^{2}}{x + 2}$
15063	Simplify	(-1)^4(-3)^-39^2	${(- 1)}^{4} \cdot {(- 3)}^{- 3} \cdot 9^{2}$
15064	Graph	Graph y=-4	Graph $y = - 4$
15065	Simplify the Radical Expression	square root of (81a^2)/(100b^2)	$\sqrt{\frac{81 a^{2}}{100 b^{2}}}$
15066	Evaluate the Limit	limit as x approaches infinity of (1+1/(x^2))^x	$lim_{x \to \infty} {(1 + \frac{1}{x^{2}})}^{x}$
15067	Evaluate	13(8^(3/4))-4*8^(3/4)	$13 (8^{\frac{3}{4}}) - 4 \cdot 8^{\frac{3}{4}}$
15068	Evaluate	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \cdot 3^{4}}{9}$
15069	Graph	Graph the line with the equation y=-x-2	Graph the line with the equation $y = - x - 2$
15070	Evaluate	((1.710^6)÷(2.6310^5))+7.33	$((1.7 \times 10^{6}) \div (2.63 \times 10^{5})) + 7.33$
15071	Divide	((x^2-9)/(x+1))÷((x^2-6x+9)/(7x+7))	$\frac{x^{2} - 9}{x + 1} \div \frac{x^{2} - 6 x + 9}{7 x + 7}$
15072	Find the Integral	x/(1+x)	$\frac{x}{1 + x}$
15073	Evaluate the Limit	limit as x approaches infinity of log of 5^(1/x)	$lim_{x \to \infty} \log (5^{\frac{1}{x}})$
15074	Solve for x	3x+1>(-7x-14)/-4	$3 x + 1 > \frac{- 7 x - 14}{- 4}$
15075	Solve for h	s=hp+2b	$s = h p + 2 b$
15076	Find the Domain and Range	f(x)=1/(1+ square root of x)	$f (x) = \frac{1}{1 + \sqrt{x}}$
15077	Solve for x	x^2-1/x=0	$x^{2} - \frac{1}{x} = 0$
15078	Simplify	((9xy)^2)/((3x)^3)	$\frac{{(9 x y)}^{2}}{{(3 x)}^{3}}$
15079	Simplify	x/7+(4x)/7	$\frac{x}{7} + \frac{4 x}{7}$
15080	Integrate Using u-Substitution	integral of cos(8x) with respect to x , u=8x	$\int \cos (8 x) d x$ , $u = 8 x$
15081	Evaluate the Limit	limit as x approaches 1 of (x^2-4)/4	$lim_{x \to 1} \frac{x^{2} - 4}{4}$
15082	Factor	2x(3x)+2x(5)	$2 x (3 x) + 2 x (5)$
15083	Solve for x	(3x-4)(x-2)-5=0	$(3 x - 4) (x - 2) - 5 = 0$
15084	Solve the Inequality for x	square root of 2x+2+1>=5	$\sqrt{2 x + 2} + 1 \geq 5$
15085	Simplify	-2(3m^3+6)+3m(2m^2+3m+1)	$- 2 (3 m^{3} + 6) + 3 m (2 m^{2} + 3 m + 1)$
15086	Factor	21xy-12b^2+14xb-18 by	$21 x y - 12 b^{2} + 14 x b - 18$ by
15087	Convert to Interval Notation	2(7a-1)-11a>=3(a-4)	$2 (7 a - 1) - 11 a \geq 3 (a - 4)$
15088	Multiply	12*(9-7i)	$12 \cdot (9 - 7 i)$
15089	Divide	(x^4-3x^3+5x-6)(x+2)^-1	$(x^{4} - 3 x^{3} + 5 x - 6) {(x + 2)}^{- 1}$
15090	Graph	{(x,y)\|x>=2}	${(x, y) \| x \geq 2}$
15091	Solve for x	log base 4 of x+1- log base 4 of x-2=2 log base 4 of 8	$\log_{4} (x + 1) - \log_{4} (x - 2) = 2 \log_{4} (8)$
15092	Find the Domain and Range	f(x)=-10(2x+1)^2-1	$f (x) = - 10 {(2 x + 1)}^{2} - 1$
15093	Write in Slope-Intercept Form	(-2,5) and (-4,-5)	$(- 2, 5)$ and $(- 4, - 5)$
15094	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,1) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 3, 1)$ and has a slope of $- 2$ ?
15095	Find the Reference Angle	tan(120 degrees )	$\tan (120 °)$
15096	Simplify the Radical Expression	square root of 2x^2y^3	$\sqrt{2 x^{2} y^{3}}$
15097	Find the Derivative - d/dx	x^2-pi^2	$x^{2} - π^{2}$
15098	Multiply	(2a^2b+2b^3)(3a^2b+3b+5b^3)	$(2 a^{2} b + 2 b^{3}) (3 a^{2} b + 3 b + 5 b^{3})$
15099	Find the End Behavior	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
15100	Solve for x	(12+6x)/3=(5-9)/2	$\frac{12 + 6 x}{3} = \frac{5 - 9}{2}$