Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6701	Simplify	fifth root of -1024/243	$\sqrt[5]{- \frac{1024}{243}}$
6702	Evaluate	(54^327^28)/(108^4*27)	$\frac{54^{3} \cdot 27^{2} \cdot 8}{108^{4} \cdot 27}$
6703	Find the Antiderivative	(x^3)/(x-1)	$\frac{x^{3}}{x - 1}$
6704	Simplify	3(2/3p+3-1/3p-5)	$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$
6705	Simplify	( fifth root of 32)/( fifth root of m^3)	$\frac{\sqrt[5]{32}}{\sqrt[5]{m^{3}}}$
6706	Find the Exact Value	-5^-1	$- 5^{- 1}$
6707	Simplify	(x+3x)/2	$\frac{x + 3 x}{2}$
6708	Find the Derivative of the Integral	G(x) = integral from 4 to x of square root of 1+t^2 with respect to t	$G (x) = \int_{4}^{x} \sqrt{1 + t^{2}} d t$
6709	Solve for n	-9/10=n-3/5	$- \frac{9}{10} = n - \frac{3}{5}$
6710	Simplify	square root of 5x* square root of 20x^12	$\sqrt{5 x} \cdot \sqrt{20 x^{12}}$
6711	Simplify	(x^3-5x^2-3x+15)/(x^2-8x+15)	$\frac{x^{3} - 5 x^{2} - 3 x + 15}{x^{2} - 8 x + 15}$
6712	Simplify the Radical Expression	cube root of 4* cube root of 16	$\sqrt[3]{4} \cdot \sqrt[3]{16}$
6713	Evaluate the Integral	integral of (4x^3)/(2x+3) with respect to x	$\int \frac{4 x^{3}}{2 x + 3} d x$
6714	Solve the Inequality for x	6x-2(x+1)>0	$6 x - 2 (x + 1) > 0$
6715	Find the Excluded Values	(2x^2+4x)/(x^2+5x+6)	$\frac{2 x^{2} + 4 x}{x^{2} + 5 x + 6}$
6716	Solve for n	(4n)/(5n+7)=2/3	$\frac{4 n}{5 n + 7} = \frac{2}{3}$
6717	Write in Exponential Form	( fifth root of 4mn)^2	${(\sqrt[5]{4 m n})}^{2}$
6718	Simplify	19m^8n^8-(4m^5n)(3m^3n^7)	$19 m^{8} n^{8} - (4 m^{5} n) (3 m^{3} n^{7})$
6719	Solve for w	square root of 6w-5+10=3	$\sqrt{6 w - 5} + 10 = 3$
6720	Divide	( square root of 32)÷( square root of 2)	$\sqrt{32} \div \sqrt{2}$
6721	Factor	P(x)=2x^3+12x^2-26x-84	$P (x) = 2 x^{3} + 12 x^{2} - 26 x - 84$
6722	Simplify	4y cube root of 81x^7y^7	$4 y \sqrt[3]{81 x^{7} y^{7}}$
6723	Evaluate	y+(2y^3)/(x^3-y^3)	$y + \frac{2 y^{3}}{x^{3} - y^{3}}$
6724	Find the Derivative - d/dx	3/(8(x+1)^(5/2))	$\frac{3}{8 {(x + 1)}^{\frac{5}{2}}}$
6725	Simplify	(7-4k^2+k)+(8k+5k^2-7)	$(7 - 4 k^{2} + k) + (8 k + 5 k^{2} - 7)$
6726	Simplify	(x^3+x^6)^2	${(x^{3} + x^{6})}^{2}$
6727	Solve for x	(2(1-x))/(3x)=1-3/x	$\frac{2 (1 - x)}{3 x} = 1 - \frac{3}{x}$
6728	Evaluate the Summation	7 sum from m=1 to 5 of -7+2m	$7 \sum_{m = 1}^{5} - 7 + 2 m$
6729	Solve the Inequality for x	x/-3-20<-25	$\frac{x}{- 3} - 20 < - 25$
6730	Simplify	(x)(x^5)(x)	$(x) (x^{5}) (x)$
6731	Evaluate the Limit	limit as x approaches 2 of (-4f(x))/(g(x))+e^(x-2)-1	$lim_{x \to 2} \frac{- 4 f (x)}{g (x)} + e^{x - 2} - 1$
6732	Find the Equation Using Slope-Intercept Form	(3,-2) ; slope 1/3	$(3, - 2)$ ; slope $\frac{1}{3}$
6733	Evaluate the Integral	integral from 0 to 2 of x/(1-x) with respect to x	$\int_{0}^{2} \frac{x}{1 - x} d x$
6734	Simplify	square root of 3^5* cube root of 3	$\sqrt{3^{5}} \cdot \sqrt[3]{3}$
6735	Graph	{(x,y)\|y=x^2}	${(x, y) \| y = x^{2}}$
6736	Solve for x	6x^(2/3)=2x	$6 x^{\frac{2}{3}} = 2 x$
6737	Find the Exact Value	((-6)(sin(pi/3))(sin(pi/3))+(6)(cos(pi/3))(cos(pi/3)))/((-6)(sin(pi/3))(cos(pi/3))-(6)cos(pi/3)sin(pi/3))	$\frac{((- 6) (\sin (\frac{π}{3})) (\sin (\frac{π}{3})) + (6) (\cos (\frac{π}{3})) (\cos (\frac{π}{3})))}{((- 6) (\sin (\frac{π}{3})) (\cos (\frac{π}{3})) - (6) \cos (\frac{π}{3}) \sin (\frac{π}{3}))}$
6738	Factor	3x(x-3y)+9y(3y-x)	$3 x (x - 3 y) + 9 y (3 y - x)$
6739	Solve for m	mx^2-36=(3x+6)(3x-6)	$m x^{2} - 36 = (3 x + 6) (3 x - 6)$
6740	Convert to Radical Form	(3xy)2/3	$(3 x y) \frac{2}{3}$
6741	Simplify	(12(x-1))/(2x)	$\frac{12 (x - 1)}{2 x}$
6742	Evaluate	(x^10)(x^5)^2	$(x^{10}) {(x^{5})}^{2}$
6743	Find the Roots (Zeros)	square root of 3x+1- square root of x+8=1	$\sqrt{3 x + 1} - \sqrt{x + 8} = 1$
6744	Solve for x	9=81^x	$9 = 81^{x}$
6745	Simplify	(x-1)/(x-2)-(x^2+4x-4)/(x^2+4x-12)	$\frac{x - 1}{x - 2} - \frac{x^{2} + 4 x - 4}{x^{2} + 4 x - 12}$
6746	Simplify	1/28x(10x^3+6x-8)-1/26x(8x^3+2x-4)	$\frac{1}{2} \cdot 8 x (10 x^{3} + 6 x - 8) - \frac{1}{2} \cdot 6 x (8 x^{3} + 2 x - 4)$
6747	Find All Complex Solutions	\|2x-4\|=\|x+1\|	$\| 2 x - 4 \| = \| x + 1 \|$
6748	Graph	6x+4y>12 3x-4y>8	$6 x + 4 y > 12$ $3 x - 4 y > 8$
6749	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10x^3-8-5x-6x^2	$f (x) = 10 x^{3} - 8 - 5 x - 6 x^{2}$
6750	Solve for x	log base 6 of x^2-4- log base 6 of 3x+6=0	$\log_{6} (x^{2} - 4) - \log_{6} (3 x + 6) = 0$
6751	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x^4-10x^2+8+9x	$f (x) = - x^{4} - 10 x^{2} + 8 + 9 x$
6752	Graph Using a Table of Values	f(x) = log base 2 of x+3	$f (x) = \log_{2} (x + 3)$
6753	Graph	y>=-1/2x+5 y>=3	$y \geq - \frac{1}{2} x + 5$ $y \geq 3$
6754	Simplify	( square root of 12x^4y^6)/( square root of x^4)	$\frac{\sqrt{12 x^{4} y^{6}}}{\sqrt{x^{4}}}$
6755	Evaluate	x^2=5	$x^{2} = 5$
6756	Solve the Rational Equation for x	square root of 2x=6	$\sqrt{2 x} = 6$
6757	Evaluate the Integral	integral of x(x^3+2/(x^3)) with respect to x	$\int x (x^{3} + \frac{2}{x^{3}}) d x$
6758	Graph	-18 square root of 2x-1>-36	$- 18 \sqrt{2 x - 1} > - 36$
6759	Simplify	((2x+4)/5)÷((3x+6)/10)	$\frac{2 x + 4}{5} \div \frac{3 x + 6}{10}$
6760	Simplify	a^3(4a-3a^2)	$a^{3} (4 a - 3 a^{2})$
6761	Solve for x	log of x = log of 3+ log of 10	$\log (x) = \log (3) + \log (10)$
6762	Evaluate the Limit	limit as x approaches 1/2 of (xcos(pix))/(e^x- square root of e)	$lim_{x \to \frac{1}{2}} \frac{x \cos (π x)}{e^{x} - \sqrt{e}}$
6763	Factor by Grouping	40-5t^3	$40 - 5 t^{3}$
6764	Solve for W	S=2LH+(2L+2H)W	$S = 2 L H + (2 L + 2 H) W$
6765	Solve for y	y+y/3=12	$y + \frac{y}{3} = 12$
6766	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3(x+1)(x-4)(x+5)	$f (x) = 3 (x + 1) (x - 4) (x + 5)$
6767	Simplify	(610^8)÷(1.510^-4)	$(6 \cdot 10^{8}) \div (1.5 \cdot 10^{- 4})$
6768	Simplify	(sin(theta)^2)/(cos(theta))+(cos(theta)^2)/(cos(theta))	$\frac{\sin^{2} (θ)}{\cos (θ)} + \frac{\cos^{2} (θ)}{\cos (θ)}$
6769	Evaluate	(8x+5)+(-x^2-8)	$(8 x + 5) + (- x^{2} - 8)$
6770	Find the Exact Value	csc(45 degrees )cot(30 degrees )	$\csc (45 °) \cot (30 °)$
6771	Find the Degree	-7+5m^3+9m-3m^2	$- 7 + 5 m^{3} + 9 m - 3 m^{2}$
6772	Evaluate the Function	f(x)=x^3-2x^2+4x+3 for x=2	$f (x) = x^{3} - 2 x^{2} + 4 x + 3$ for $x = 2$
6773	Solve by Substitution	y=5x-7 and -3x-2y=-12	$y = 5 x - 7$ and $- 3 x - 2 y = - 12$
6774	Solve for S	S(t)=2t^(3/2)-9t+6	$S (t) = 2 t^{\frac{3}{2}} - 9 t + 6$
6775	Evaluate	5^25^-15^0	$5^{2} \cdot 5^{- 1} \cdot 5^{0}$
6776	Find the Cotangent Given the Point	((2 square root of 6)/5,1/5)	$(\frac{2 \sqrt{6}}{5}, \frac{1}{5})$
6777	Find the Maximum/Minimum Value	-(x+1)(x-1)^2	$- (x + 1) {(x - 1)}^{2}$
6778	Simplify	((120)(450)(60))/((36)(750)(48))	$\frac{(120) (450) (60)}{(36) (750) (48)}$
6779	Solve for n	(9^(3n+3))/(1/27)=9	$\frac{9^{3 n + 3}}{\frac{1}{27}} = 9$
6780	Solve for x	1+x+(x^2)/(1-x)=1/(1-x)	$1 + x + \frac{x^{2}}{1 - x} = \frac{1}{1 - x}$
6781	Simplify	(3x+5)-(4x^2-2)-(x^2-3x+1)	$(3 x + 5) - (4 x^{2} - 2) - (x^{2} - 3 x + 1)$
6782	Solve for x	x/(x-2)=(x-3)/(2x)	$\frac{x}{x - 2} = \frac{x - 3}{2 x}$
6783	Find the x and y Intercepts	F(x)=3^(x-2)+1	$F (x) = 3^{x - 2} + 1$
6784	Graph	h(x)=-(4x)/3+8	$h (x) = - \frac{4 x}{3} + 8$
6785	Simplify the Radical Expression	cube root of 3/(2a)	$\sqrt[3]{\frac{3}{2 a}}$
6786	Solve for x	(7x)/3-19/12=(5x)/2+11/6	$\frac{7 x}{3} - \frac{19}{12} = \frac{5 x}{2} + \frac{11}{6}$
6787	Write in Standard Form	-3+y=5/4x	$- 3 + y = \frac{5}{4} x$
6788	Solve for f	f^-1((3+x)/(x-2))=x+1	$f^{- 1} (\frac{3 + x}{x - 2}) = x + 1$
6789	Find the Derivative - d/dx	natural log of x^3 fifth root of x^2+1	$\ln (x^{3} \sqrt[5]{x^{2} + 1})$
6790	Evaluate	y=8(1-0.15)^3	$y = 8 {(1 - 0.15)}^{3}$
6791	Evaluate the Limit	limit as x approaches c of (64)^(2/3)	$lim_{x \to c} {(64)}^{\frac{2}{3}}$
6792	Simplify the Radical Expression	cube root of (18n^2)/(24n)	$\sqrt[3]{\frac{18 n^{2}}{24 n}}$
6793	Simplify	(6n^2+3n^4-8n-4n^3)+(7n^2-8n^3-2n)	$(6 n^{2} + 3 n^{4} - 8 n - 4 n^{3}) + (7 n^{2} - 8 n^{3} - 2 n)$
6794	Solve for h	-(-3h+6)=3(-10+3h)	$- (- 3 h + 6) = 3 (- 10 + 3 h)$
6795	Simplify the Radical Expression	3 square root of 12* square root of 6	$3 \sqrt{12} \cdot \sqrt{6}$
6796	Solve for x	(2^x)^5=2^15	${(2^{x})}^{5} = 2^{15}$
6797	Find the Derivative - d/dx	1/( cube root of x-1)	$\frac{1}{\sqrt[3]{x - 1}}$
6798	Divide Using Synthetic Division	(12x^3+2x^2-5x+1)÷(x-1/3)	$(12 x^{3} + 2 x^{2} - 5 x + 1) \div (x - \frac{1}{3})$
6799	Solve for x	log base 4 of 3x-2- log base 4 of 4x+1=2	$\log_{4} (3 x - 2) - \log_{4} (4 x + 1) = 2$
6800	Simplify	(x-1)/2+3/2x	$\frac{x - 1}{2} + \frac{3}{2} x$