Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11301	Solve for y	1/3y+x=1	$\frac{1}{3} y + x = 1$
11302	Evaluate	(y*y^(1/3))^(3/2)	${(y \cdot y^{\frac{1}{3}})}^{\frac{3}{2}}$
11303	Find the Antiderivative	x/x	$\frac{x}{x}$
11304	Simplify	cube root of square root of 125	$\sqrt[3]{\sqrt{125}}$
11305	Simplify	( square root of 2+ square root of 3)/( square root of 2- square root of 3)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}}$
11306	Solve for x	2 log of 2- log of x = log of x+3- log of 7	$2 \log (2) - \log (x) = \log (x + 3) - \log (7)$
11307	Find the x and y Intercepts	1/3x-1/6y=-2/3	$\frac{1}{3} x - \frac{1}{6} y = - \frac{2}{3}$
11308	Find the Roots (Zeros)	cos(x)-sin(x)	$\cos (x) - \sin (x)$
11309	Write the Fraction in Simplest Form	(20z^-9)/((-5z)^2)	$\frac{20 z^{- 9}}{{(- 5 z)}^{2}}$
11310	Find the GCF	8 and 24	$8$ and $24$
11311	Solve for x	square root of x^2-4x+4>0	$\sqrt{x^{2} - 4 x + 4} > 0$
11312	Simplify	((2x^3)/y)^3*1/(6x^3)	${(\frac{2 x^{3}}{y})}^{3} \cdot \frac{1}{6 x^{3}}$
11313	Solve the Absolute Value Inequality for b	\|b+4\|-2=4	$\| b + 4 \| - 2 = 4$
11314	Multiply	3 square root of 6*2 square root of 3	$3 \sqrt{6} \cdot 2 \sqrt{3}$
11315	Simplify	x-24>=9	$x - 24 \geq 9$
11316	Evaluate	(52x^6)/(13x^-7)	$\frac{52 x^{6}}{13 x^{- 7}}$
11317	Find the Antiderivative	f(x) = square root of x+2x^2 square root of x	$f (x) = \sqrt{x} + 2 x^{2} \sqrt{x}$
11318	Solve for x	natural log of x+1=0	$\ln (x) + 1 = 0$
11319	Evaluate the Integral	integral from square root of pi/2 to square root of pi of 9theta^3cos(theta^2) with respect to theta	$\int_{\sqrt{\frac{π}{2}}}^{\sqrt{π}} 9 θ^{3} \cos (θ^{2}) d θ$
11320	Solve for x	2/(x+n)=n/(x+3)	$\frac{2}{x + n} = \frac{n}{x + 3}$
11321	Simplify the Radical Expression	(b^2)^(1/9)	${(b^{2})}^{\frac{1}{9}}$
11322	Write in Slope-Intercept Form	2x-y<1	$2 x - y < 1$
11323	Simplify	5(43-6)	$5 (43 - 6)$
11324	Solve the Inequality for b	-3b<=0.75	$- 3 b \leq 0.75$
11325	Evaluate	- log of 2*10^-2	$- \log (2) \cdot 10^{- 2}$
11326	Evaluate	3((2pi)/3)	$3 (\frac{2 π}{3})$
11327	Graph	f(x)=4x-9-x^3	$f (x) = 4 x - 9 - x^{3}$
11328	Solve for x	1/(3x^2)=(x+3)/(2x^2)-1/(6x^2)	$\frac{1}{3 x^{2}} = \frac{x + 3}{2 x^{2}} - \frac{1}{6 x^{2}}$
11329	Simplify the Radical Expression	(3/(2p^2))^(2/3)	${(\frac{3}{2 p^{2}})}^{\frac{2}{3}}$
11330	Simplify the Radical Expression	y square root of 28x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{28 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
11331	Simplify the Radical Expression	square root of (56x^5y^5)/(7xy)	$\sqrt{\frac{56 x^{5} y^{5}}{7 x y}}$
11332	Simplify	square root of (2- square root of 5)^2+ square root of (2+ square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}} + \sqrt{{(2 + \sqrt{5})}^{2}}$
11333	Find the Antiderivative	f(x)=(2-3x)^2	$f (x) = {(2 - 3 x)}^{2}$
11334	Evaluate	26/5226/5125/50	$\frac{26}{52} \cdot \frac{26}{51} \cdot \frac{25}{50}$
11335	Solve for x	3/(5x+10)=x/(x+2)	$\frac{3}{5 x + 10} = \frac{x}{x + 2}$
11336	Simplify	(2x+10)/(x^2+x-2)+2/(x+2)+x/(x-1)	$\frac{2 x + 10}{x^{2} + x - 2} + \frac{2}{x + 2} + \frac{x}{x - 1}$
11337	Integrate Using u-Substitution	integral of (x^3)/( square root of 1-x^2) with respect to x	$\int \frac{x^{3}}{\sqrt{1 - x^{2}}} d x$
11338	Evaluate	( fifth root of 96a^7)/( fifth root of 3a^2)	$\frac{\sqrt[5]{96 a^{7}}}{\sqrt[5]{3 a^{2}}}$
11339	Solve for x	1/2(2x-6)=x-3	$\frac{1}{2} (2 x - 6) = x - 3$
11340	Divide Using Long Polynomial Division	(-15x^5+10x^4+15x^2-37x+18)÷(3x-2)	$(- 15 x^{5} + 10 x^{4} + 15 x^{2} - 37 x + 18) \div (3 x - 2)$
11341	Solve the Function Operation	f(x) = cube root of x+7 ; find f^-1(x)	$f (x) = \sqrt[3]{x + 7}$ ; find $f^{- 1} (x)$
11342	Divide Using Long Polynomial Division	(6x^3+x-1)÷(x+2)	$(6 x^{3} + x - 1) \div (x + 2)$
11343	Find the Percentage Rate of Change	f(t)=1/3(1.26)^t	$f (t) = \frac{1}{3} {(1.26)}^{t}$
11344	Find the x and y Intercepts	y=8x-1/x-7	$y = 8 x - \frac{1}{x} - 7$
11345	Simplify the Radical Expression	square root of (121a^2b^2)/(9h^4)	$\sqrt{\frac{121 a^{2} b^{2}}{9 h^{4}}}$
11346	Simplify	((x^3y^-2)/(z^-5))^-4	${(\frac{x^{3} y^{- 2}}{z^{- 5}})}^{- 4}$
11347	Graph	f(x)=sin(x)-cos(x)	$f (x) = \sin (x) - \cos (x)$
11348	Find the Inverse	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
11349	Solve the Function Operation	f(x)=-x-5 if x!=-2; -2 if x=-2 Find f(-4)	$f (x) = {\begin{cases} - x - 5 & x \neq - 2 \\ - 2 & x = - 2 \end{cases}$ Find $f (- 4)$
11350	Solve for x	square root of 4x+3 = square root of 9x+13	$\sqrt{4 x} + 3 = \sqrt{9 x + 13}$
11351	Solve for x	3x(2x-4)=0	$3 x (2 x - 4) = 0$
11352	Solve for x	(2x^2)/(x-2)=(-7x+6)/(2-x)	$\frac{2 x^{2}}{x - 2} = \frac{- 7 x + 6}{2 - x}$
11353	Solve by Substitution	b=3/4a a+b=21	$b = \frac{3}{4} a$ $a + b = 21$
11354	Solve for b	square root of b-6+ square root of b=3	$\sqrt{b - 6} + \sqrt{b} = 3$
11355	Convert to a Percentage	0.4 as a percentage	$0.4$ as a percentage
11356	Write in Slope-Intercept Form	(7,2) and (2,12)	$(7, 2)$ and $(2, 12)$
11357	Evaluate	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
11358	Solve for b	(b^2)=b^8	$(b^{2}) = b^{8}$
11359	Solve for a	29=a^2	$29 = a^{2}$
11360	Solve for x	x/(x-2)+x/(x^2-4)=0	$\frac{x}{x - 2} + \frac{x}{x^{2} - 4} = 0$
11361	Evaluate	(3^-2a^0)/(b^-2)	$\frac{3^{- 2} a^{0}}{b^{- 2}}$
11362	Simplify	7(3x-4(2-x))	$7 (3 x - 4 (2 - x))$
11363	Subtract	(3m-4n-7)-(8m+n-6)	$(3 m - 4 n - 7) - (8 m + n - 6)$
11364	Solve for m	square root of 18-2m = square root of 2m-10	$\sqrt{18 - 2 m} = \sqrt{2 m - 10}$
11365	Solve for x	log base 3 of 2x^2+4- log base 3 of 3x+6=0	$\log_{3} (2 x^{2} + 4) - \log_{3} (3 x + 6) = 0$
11366	Solve by Addition/Elimination	6w-8z=16 3w-4z=8	$6 w - 8 z = 16$ $3 w - 4 z = 8$
11367	Simplify	( fourth root of 2^-2)/( sixth root of 2^-9)	$\frac{\sqrt[4]{2^{- 2}}}{\sqrt[6]{2^{- 9}}}$
11368	Simplify	-x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)	$- x^{2} z (2 z^{2} + 4 x z^{3}) + x z^{2} (x z + 5 x^{3} z) + x^{2} z^{3} (3 x^{2} z + 4 x z)$
11369	Solve for x	-3/(x+3)+1/2=x/6-1/2	$\frac{- 3}{x + 3} + \frac{1}{2} = \frac{x}{6} - \frac{1}{2}$
11370	Divide	(12 square root of 48)/(4 square root of 3)	$\frac{12 \sqrt{48}}{4 \sqrt{3}}$
11371	Solve for x	2(3x+5)=2(2x-3)+2x	$2 (3 x + 5) = 2 (2 x - 3) + 2 x$
11372	Simplify	(x^4y^5)/(x^2y^5)	$\frac{x^{4} y^{5}}{x^{2} y^{5}}$
11373	Simplify	x^0y^-2	$x^{0} y^{- 2}$
11374	Solve for y	y=200+150+50-30	$y = 200 + 150 + 50 - 30$
11375	Solve the Function Operation	f(x)=-5x+14 g(x)=x^2+6x-7 Find: f(g(x))	$f (x) = - 5 x + 14$ $g (x) = x^{2} + 6 x - 7$ Find: $f (g (x))$
11376	Solve for m	25=-5+2/3m	$25 = - 5 + \frac{2}{3} m$
11377	Convert to Rectangular	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
11378	Solve for x	(x+3)/3=(10+4)/4	$\frac{x + 3}{3} = \frac{10 + 4}{4}$
11379	Solve for x	9/2=(7x-8)/(x+1)	$\frac{9}{2} = \frac{7 x - 8}{x + 1}$
11380	Find Where Increasing/Decreasing	(x^2)/((x-2)^3)	$\frac{x^{2}}{{(x - 2)}^{3}}$
11381	Simplify	( fifth root of -21)^6	${(\sqrt[5]{- 21})}^{6}$
11382	Solve for x	2^x>=32	$2^{x} \geq 32$
11383	Solve the Inequality for x	-7(x-2)+1<x	$- 7 (x - 2) + 1 < x$
11384	Find the x and y Intercepts	(x^2-5x)/(2x^2)	$\frac{x^{2} - 5 x}{2 x^{2}}$
11385	Find the Product	(2x+5y)(3x^2-4xy+2y^2)	$(2 x + 5 y) (3 x^{2} - 4 x y + 2 y^{2})$
11386	Simplify	( square root of 108-6 square root of 3)^2	${(\sqrt{108} - 6 \sqrt{3})}^{2}$
11387	Graph	y=-2-4sin(pi/2(x-1/3))	$y = - 2 - 4 \sin (\frac{π}{2} (x - \frac{1}{3}))$
11388	Write in Standard Form	(8x^2+8x)-(-9x^2+8x)	$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$
11389	Simplify	(2x^3+x^2-4x)-(9x^3-3x^2)	$(2 x^{3} + x^{2} - 4 x) - (9 x^{3} - 3 x^{2})$
11390	Find the Roots (Zeros)	f(x)=(x^2-1)(9x^2+16x+21)	$f (x) = (x^{2} - 1) (9 x^{2} + 16 x + 21)$
11391	Solve for v	v^3=216	$v^{3} = 216$
11392	Solve for x	(x-6)^2-x(x+8)=2	${(x - 6)}^{2} - x (x + 8) = 2$
11393	Solve for m	7(2m-1)-3/5m=6/5(4-3m)	$7 (2 m - 1) - \frac{3}{5} m = \frac{6}{5} (4 - 3 m)$
11394	Find the Roots (Zeros)	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
11395	Find dx/dy	y=1/( cube root of x-1)	$y = \frac{1}{\sqrt[3]{x - 1}}$
11396	Solve the Inequality for h	-5h>-250	$- 5 h > - 250$
11397	Simplify	29u+4d-13u+2u+7d	$29 u + 4 d - 13 u + 2 u + 7 d$
11398	Divide	(6 square root of 15)÷2 square root of 5	$6 \sqrt{15} \div 2 \sqrt{5}$
11399	Find the Degree	(x^3y^5)/9+y	$\frac{x^{3} y^{5}}{9} + y$
11400	Simplify	x^2+2-1+6x^2-4x^2	$x^{2} + 2 - 1 + 6 x^{2} - 4 x^{2}$