Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21701	Solve for n	(3n)/-5=9	$\frac{3 n}{- 5} = 9$
21702	Solve for n	n root of a/b=(n root of a)/(n root of b)	$\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
21703	Write as a Single Logarithm	5 log base b of x+1/2 log base b of x+2	$5 \log_{b} (x) + \frac{1}{2} \log_{b} (x + 2)$
21704	Simplify	(2a-20)/(6a)*(a-9)/(a-10)	$\frac{2 a - 20}{6 a} \cdot \frac{a - 9}{a - 10}$
21705	Solve the Inequality for x	-2x^2-3x+9<=-5x-3	$- 2 x^{2} - 3 x + 9 \leq - 5 x - 3$
21706	Solve for m	7( square root of m+1-3)=21	$7 (\sqrt{m + 1} - 3) = 21$
21707	Find the Excluded Values	44/(x^2+100)	$\frac{44}{x^{2} + 100}$
21708	Solve the Function Operation	A=[[2,-3],[-1,3]] , B=[[1,0],[-1,1],[2,-2]]	$A = [\begin{array}{c} 2 & - 3 \\ - 1 & 3 \end{array}]$ , $B = [\begin{array}{c} 1 & 0 \\ - 1 & 1 \\ 2 & - 2 \end{array}]$
21709	Find the Derivative - d/dx	cos(x^2+1)	$\cos (x^{2} + 1)$
21710	Solve by Addition/Elimination	3x+y=2 6x+2y=4	$3 x + y = 2$ $6 x + 2 y = 4$
21711	Find the LCD	(2x)/(x+10) and 3/(10x)	$\frac{2 x}{x + 10}$ and $\frac{3}{10 x}$
21712	Calculate the Square Root	square root of 64/4	$\sqrt{\frac{64}{4}}$
21713	Find the Degree	3xy^3+5x^5y^3+x^3y^7-7x^2y	$3 x y^{3} + 5 x^{5} y^{3} + x^{3} y^{7} - 7 x^{2} y$
21714	Find the Domain	(x-2)/( square root of 16-x^2)	$\frac{x - 2}{\sqrt{16 - x^{2}}}$
21715	Evaluate	3x-5y>=10	$3 x - 5 y \geq 10$
21716	Simplify	((4x^5y)/(-x^6y^3))^-2	${(\frac{4 x^{5} y}{- x^{6} y^{3}})}^{- 2}$
21717	Solve the Inequality for t	3t-2(t-1)>=5t-4(2+t)	$3 t - 2 (t - 1) \geq 5 t - 4 (2 + t)$
21718	Solve the System of Equations	8t+5h=220 5t+h=112	$8 t + 5 h = 220$ $5 t + h = 112$
21719	Simplify	square root of (243x^5y^6)/(144xy^3)	$\sqrt{\frac{243 x^{5} y^{6}}{144 x y^{3}}}$
21720	Simplify	x^2(xy^3)^2+y^2(x^2y^2)^2	$x^{2} {(x y^{3})}^{2} + y^{2} {(x^{2} y^{2})}^{2}$
21721	Simplify	(8b^(2/3)9t^(1/5))(8b^(5/3)9t^(3/5))	$(8 b^{\frac{2}{3}} \cdot 9 t^{\frac{1}{5}}) (8 b^{\frac{5}{3}} \cdot 9 t^{\frac{3}{5}})$
21722	Find the Fourth Roots of a Complex Number	-3+4i	$- 3 + 4 i$
21723	Simplify	(5x^-2)^2(y^7z^-5)^-4	${(5 x^{- 2})}^{2} {(y^{7} z^{- 5})}^{- 4}$
21724	Find the Percentage Rate of Change	f(t)=70(2/5)^t	$f (t) = 70 {(\frac{2}{5})}^{t}$
21725	Simplify the Radical Expression	( square root of x)^3	${(\sqrt{x})}^{3}$
21726	Find the Maximum/Minimum Value	f(x)=-3/4x^4+x^3+45x^2+12	$f (x) = - \frac{3}{4} x^{4} + x^{3} + 45 x^{2} + 12$
21727	Simplify	(-x)/-1	$\frac{- x}{- 1}$
21728	Simplify	(1-x/3)^2	${(1 - \frac{x}{3})}^{2}$
21729	Simplify	(5- square root of 5)/( square root of 5+ square root of 3)	$\frac{5 - \sqrt{5}}{\sqrt{5} + \sqrt{3}}$
21730	Plot	y>x-3	$y > x - 3$
21731	Find the x and y Intercepts	y=(4-x)(x-3)	$y = (4 - x) (x - 3)$
21732	Solve for n	2^2*2^n=(2^4)^3	$2^{2} \times 2^{n} = {(2^{4})}^{3}$
21733	Find dy/dx	y=(x-1)(x+2)	$y = (x - 1) (x + 2)$
21734	Simplify	(8x-6x^3)/(-9x^3+12x)	$\frac{8 x - 6 x^{3}}{- 9 x^{3} + 12 x}$
21735	Add	(8a^5-4)+(3a^5+a-2)	$(8 a^{5} - 4) + (3 a^{5} + a - 2)$
21736	Find the LCD	1/(6x) and 3/(2x+10)	$\frac{1}{6 x}$ and $\frac{3}{2 x + 10}$
21737	Simplify	(5x-4)(2+3x)+(x-5)^2	$(5 x - 4) (2 + 3 x) + {(x - 5)}^{2}$
21738	Solve for t	h(t)=320-16t^2	$h (t) = 320 - 16 t^{2}$
21739	Find the Derivative - d/dx	(2-3x)/(3+x^2)	$\frac{2 - 3 x}{3 + x^{2}}$
21740	Simplify	3 square root of 7/25- square root of 28/25+ square root of 63/25	$3 \sqrt{\frac{7}{25}} - \sqrt{\frac{28}{25}} + \sqrt{\frac{63}{25}}$
21741	Simplify	(1-tan(x)^2)/(cot(x)^2-1)	$\frac{1 - \tan^{2} (x)}{\cot^{2} (x) - 1}$
21742	Solve for x	3/5(x-7/10)=-3 1/4	$\frac{3}{5} (x - \frac{7}{10}) = - 3 \frac{1}{4}$
21743	Identify the Sequence	-5 , -4 , -1 , 4 , 11 , 20 , 31	$- 5$ , $- 4$ , $- 1$ , $4$ , $11$ , $20$ , $31$
21744	Simplify the Radical Expression	( square root of a^5)/( cube root of a^2)	$\frac{\sqrt{a^{5}}}{\sqrt[3]{a^{2}}}$
21745	Simplify	(x+1)^3*(x+1)^4	${(x + 1)}^{3} \cdot {(x + 1)}^{4}$
21746	Solve the Absolute Value Inequality for x	\|3-x\|-\|x+2\|=5	$\| 3 - x \| - \| x + 2 \| = 5$
21747	Find the Inverse	f(x)=(3x+2)/(2+x)	$f (x) = \frac{3 x + 2}{2 + x}$
21748	Simplify	fourth root of 1/16m^12x^16	$\sqrt[4]{\frac{1}{16} m^{12} x^{16}}$
21749	Solve for g	square root of g+2 = square root of 2g-5	$\sqrt{g + 2} = \sqrt{2 g - 5}$
21750	Evaluate	38+2-(16*34)÷2 square root of 38	$38 + 2 - 16 \cdot 34 \div 2 \sqrt{38}$
21751	Simplify	(x-2)/(3x^3)*(9x^2)/(x^2-4x+4)	$\frac{x - 2}{3 x^{3}} \cdot \frac{9 x^{2}}{x^{2} - 4 x + 4}$
21752	Integrate Using u-Substitution	integral of cos(4x) with respect to x , u=4x	$\int \cos (4 x) d x$ , $u = 4 x$
21753	Simplify	square root of 8+ square root of 12	$\sqrt{8} + \sqrt{12}$
21754	Write the Fraction in Simplest Form	((3t^-4n^-5)^-3)/(4n^3)	$\frac{{(3 t^{- 4} n^{- 5})}^{- 3}}{4 n^{3}}$
21755	Simplify	-5/(2(x-4)^2+6)	$\frac{- 5}{2 {(x - 4)}^{2} + 6}$
21756	Simplify	(6^-5*6^4)^-1	${(6^{- 5} \cdot 6^{4})}^{- 1}$
21757	Solve for x	x^2-8y=121.5	$x^{2} - 8 y = 121.5$
21758	Solve the Inequality for b	b-7>-9	$b - 7 > - 9$
21759	Find dy/dx	x+y-2x^3=2	$x + y - 2 x^{3} = 2$
21760	Graph	y<=3x-2 and y>=-4x+2	$y \leq 3 x - 2$ and $y \geq - 4 x + 2$
21761	Solve for x	0.5(x+3)-0.8(x+3)=-0.3x-0.9	$0.5 (x + 3) - 0.8 (x + 3) = - 0.3 x - 0.9$
21762	Find the Degree	-r^2+r^4 square root of 3-2r^5	$- r^{2} + r^{4} \sqrt{3} - 2 r^{5}$
21763	Graph	3x+4y>=12 2x-5y>=10	$3 x + 4 y \geq 12$ $2 x - 5 y \geq 10$
21764	Simplify	5xy^3z^4 square root of 384x^20yz^9	$5 x y^{3} z^{4} \sqrt{384 x^{20} y z^{9}}$
21765	Evaluate the Integral	integral of 4x(2x-3)(3x+1) with respect to x	$\int 4 x (2 x - 3) (3 x + 1) d x$
21766	Solve for t	5(2t-1)+3=3(3t+2)	$5 (2 t - 1) + 3 = 3 (3 t + 2)$
21767	Simplify the Radical Expression	-2 cube root of -6+2 fourth root of 96-3 cube root of 750	$- 2 \sqrt[3]{- 6} + 2 \sqrt[4]{96} - 3 \sqrt[3]{750}$
21768	Simplify the Radical Expression	cube root of 27x-81-5	$\sqrt[3]{27 x - 81} - 5$
21769	Simplify	- square root of (x^2-6)^8	$- \sqrt{{(x^{2} - 6)}^{8}}$
21770	Simplify	(30-2x)(18-2x)(x)	$(30 - 2 x) (18 - 2 x) (x)$
21771	Divide	4÷(-10/11)	$4 \div (- \frac{10}{11})$
21772	Simplify the Radical Expression	(2+ square root of 5)/(6- square root of 3)	$\frac{2 + \sqrt{5}}{6 - \sqrt{3}}$
21773	Simplify	square root of 2x^2* square root of 50x^3	$\sqrt{2 x^{2}} \cdot \sqrt{50 x^{3}}$
21774	Evaluate the Integral	integral of e^x*2x with respect to x	$\int e^{x} \cdot 2 x d x$
21775	Determine if Odd, Even, or Neither	f(x)=x^5+x^3+x	$f (x) = x^{5} + x^{3} + x$
21776	Evaluate	4*(5^2-12)-6	$4 \cdot (5^{2} - 12) - 6$
21777	Write in Exponential Form	cube root of c^-5	$\sqrt[3]{c^{- 5}}$
21778	Evaluate	(( square root of 5)/2)^2	${(\frac{\sqrt{5}}{2})}^{2}$
21779	Evaluate the Function	f(-3)=(t(t-3))/(t-2)+(4-t)/(t-2)	$f (- 3) = \frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
21780	Find the Derivative - d/dt	y=(1+at)(ct)^-2	$y = (1 + a t) {(c t)}^{- 2}$
21781	Simplify	-9np(8n^2p^2+11np-13)+10np(7n^2p^2+9np+14)	$- 9 n p (8 n^{2} p^{2} + 11 n p - 13) + 10 n p (7 n^{2} p^{2} + 9 n p + 14)$
21782	Solve for x	4/(x^2-3x-4)=1/(x-4)+1/(x^2-3x-4)	$\frac{4}{x^{2} - 3 x - 4} = \frac{1}{x - 4} + \frac{1}{x^{2} - 3 x - 4}$
21783	Solve for x	16^(2x-1)*(1/4)^(x+2)=8^(-x)	$16^{2 x - 1} \cdot {(\frac{1}{4})}^{x + 2} = 8^{- x}$
21784	Evaluate Using the Given Value	3n at n=11	$3 n$ at $n = 11$
21785	Integrate Using Partial Fractions	integral of (2x^3+x^2-21x+24)/(x^2+2x-8) with respect to x	$\int \frac{2 x^{3} + x^{2} - 21 x + 24}{x^{2} + 2 x - 8} d x$
21786	Write in y=mx+b Form	(3,-1) and (4,7)	$(3, - 1)$ and $(4, 7)$
21787	Graph	f(x)=(-2x^2+10x)/(4x-20)	$f (x) = \frac{- 2 x^{2} + 10 x}{4 x - 20}$
21788	Evaluate	2/(2(-3)-1)	$\frac{2}{2 (- 3) - 1}$
21789	Solve the Inequality for x	6<6(-2+x)	$6 < 6 (- 2 + x)$
21790	Evaluate Using Scientific Notation	(7.29610^2)÷9.610^-9	$7.296 \times 10^{2} \div 9.6 \times 10^{- 9}$
21791	Simplify	((x^2-6x+8)/(2-x)*(x^2+x-2)/(3x^3-48x))÷((1-x^2)/(-x-1))	$\frac{x^{2} - 6 x + 8}{2 - x} \cdot \frac{x^{2} + x - 2}{3 x^{3} - 48 x} \div \frac{1 - x^{2}}{- x - 1}$
21792	Find the Antiderivative	sin(x)^2*cos(x)^3	$\sin^{2} (x) \cdot \cos^{3} (x)$
21793	Solve the System of Equations	y=3x^2+x-206 2x+y=10	$y = 3 x^{2} + x - 206$ $2 x + y = 10$
21794	Simplify	3(8-4)^2+7*9	$3 {(8 - 4)}^{2} + 7 \cdot 9$
21795	Find Where Increasing/Decreasing	f(x)=x^4+4x^3-8x^2+1	$f (x) = x^{4} + 4 x^{3} - 8 x^{2} + 1$
21796	Evaluate	(3n^3+2n-7)-(n^3-n-2)	$(3 n^{3} + 2 n - 7) - (n^{3} - n - 2)$
21797	Simplify	- square root of 25* fifth root of -32	$- \sqrt{25} \cdot \sqrt[5]{- 32}$
21798	Find the Reference Angle	cot(-pi/6)	$\cot (- \frac{π}{6})$
21799	Write the Fraction in Simplest Form	((-3x^5m^-3)^5)/(12x^-1m^2)	$\frac{{(- 3 x^{5} m^{- 3})}^{5}}{12 x^{- 1} m^{2}}$
21800	Find the Antiderivative	(x^2-2x+3)/(x+1)	$\frac{x^{2} - 2 x + 3}{x + 1}$