Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12201	Find the Domain	(2x+2y)/(x^2-2xy+y^2)*(x^2-xy)/(7y+7x)	$\frac{2 x + 2 y}{x^{2} - 2 x y + y^{2}} \cdot \frac{x^{2} - x y}{7 y + 7 x}$
12202	Simplify	(5x^-1+2y^-1)/(x^-2y^-2)	$\frac{5 x^{- 1} + 2 y^{- 1}}{x^{- 2} y^{- 2}}$
12203	Simplify	i^6i^19i^39	$i^{6} \cdot i^{19} \cdot i^{39}$
12204	Divide	(3/4)÷1 1/2	$\frac{3}{4} \div 1 \frac{1}{2}$
12205	Evaluate	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
12206	Verify the Identity	(csc(x)cot(x))/(sec(x)tan(x))=cot(x)^3	$\frac{\csc (x) \cot (x)}{\sec (x) \tan (x)} = \cot^{3} (x)$
12207	Find the Domain and Range	f(x)=-2 log base 3 of 3-x	$f (x) = - 2 \log_{3} (3 - x)$
12208	Evaluate the Integral	integral of 1/(x square root of x^4-1) with respect to x	$\int \frac{1}{x \sqrt{x^{4} - 1}} d x$
12209	Simplify	(tan(pi/4)+tan(x))/(1-tan(pi/4)tan(x))	$\frac{\tan (\frac{π}{4}) + \tan (x)}{1 - \tan (\frac{π}{4}) \tan (x)}$
12210	Solve the System of Equations	-x-3y-2z=8 -x+y+6z=4 x-9y-2z=4	$- x - 3 y - 2 z = 8$ $- x + y + 6 z = 4$ $x - 9 y - 2 z = 4$
12211	Solve for x	(x^2+x-4)/(x-2)=x-1/(x-2)	$\frac{x^{2} + x - 4}{x - 2} = x - \frac{1}{x - 2}$
12212	Solve the Inequality for x	-34<-2(4x-1)	$- 34 < - 2 (4 x - 1)$
12213	Find the LCD	-2/(x+3) and (7x)/(6x+18)	$\frac{- 2}{x + 3}$ and $\frac{7 x}{6 x + 18}$
12214	Solve for y	y=2-9x , x=23	$y = 2 - 9 x$ , $x = 23$
12215	Simplify the Radical Expression	(x^10)^(1/5)+(x^4)^(1/2)	${(x^{10})}^{\frac{1}{5}} + {(x^{4})}^{\frac{1}{2}}$
12216	Simplify	(a^-3x^2)/(a^-3b^-2x^2)	$\frac{a^{- 3} x^{2}}{a^{- 3} b^{- 2} x^{2}}$
12217	Simplify	1/2a^-4b^2	$\frac{1}{2} a^{- 4} b^{2}$
12218	Factor by Grouping	9x^2-3xy+6x-2y	$9 x^{2} - 3 x y + 6 x - 2 y$
12219	Simplify	cos(2arccos(2/5))	$\cos (2 \arccos (\frac{2}{5}))$
12220	Write in y=mx+b Form	2(y-3)=2x-6	$2 (y - 3) = 2 x - 6$
12221	Simplify	(-(2b^5)/a)((3b)/(a^5))	$(- \frac{2 b^{5}}{a}) (\frac{3 b}{a^{5}})$
12222	Evaluate	4(x-2+y)	$4 (x - 2 + y)$
12223	Graph	y=2-2/3cos(x-pi/2)	$y = 2 - \frac{2}{3} \cos (x - \frac{π}{2})$
12224	Simplify the Radical Expression	fourth root of 16/81	$\sqrt[4]{\frac{16}{81}}$
12225	Graph	2/3x^3+x^2-5x=-9	$\frac{2}{3} x^{3} + x^{2} - 5 x = - 9$
12226	Find the Product	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2 + 4}) (5 \sqrt{2 - 4})$
12227	Find the Product	(2x-1/2)(2x+1/2)	$(2 x - \frac{1}{2}) (2 x + \frac{1}{2})$
12228	Solve for x	-3/4+(2x+2)/x=-7/(4x)	$\frac{- 3}{4} + \frac{2 x + 2}{x} = \frac{- 7}{4 x}$
12229	Find the Quotient	(4t^7)/(2t)	$\frac{4 t^{7}}{2 t}$
12230	Find the Distance Between Two Points	(6,-3) and (4,3)	$(6, - 3)$ and $(4, 3)$
12231	Convert to a Decimal	sin(600)deg	$\sin (600)$ degrees
12232	Simplify	Subtract -3x-8 from 4x^2-7x-2	Subtract $- 3 x - 8$ from $4 x^{2} - 7 x - 2$
12233	Find the Exact Value	-(17)^0	$- {(17)}^{0}$
12234	Simplify	((x^2-16x+64)(x+2))/((x^2-64)(x^2-6x-16))	$\frac{(x^{2} - 16 x + 64) (x + 2)}{(x^{2} - 64) (x^{2} - 6 x - 16)}$
12235	Graph	Graph 9x+15y=45	Graph $9 x + 15 y = 45$
12236	Evaluate	sec(theta)=2	$\sec (θ) = 2$
12237	Evaluate	x^(4/3)=9	$x^{\frac{4}{3}} = 9$
12238	Multiply	square root of 32 square root of 25 square root of 8* square root of 18	$\sqrt{3} \cdot 2 \sqrt{2} \cdot 5 \sqrt{8} \cdot \sqrt{18}$
12239	Solve the Inequality for b	-4+b/6<10	$- 4 + \frac{b}{6} < 10$
12240	Simplify	2/(2x^3-2)-4/(3x^3-3)	$\frac{2}{2 x^{3} - 2} - \frac{4}{3 x^{3} - 3}$
12241	Evaluate	x^2=7	$x^{2} = 7$
12242	Simplify	(4x^5-3x^3+2x^2-7)-(x^4+2x^3-4x-3)	$(4 x^{5} - 3 x^{3} + 2 x^{2} - 7) - (x^{4} + 2 x^{3} - 4 x - 3)$
12243	Evaluate	square root of 5x-1+4=1	$\sqrt{5 x - 1} + 4 = 1$
12244	Describe the Transformation	y=- cube root of -x+3-5	$y = - \sqrt[3]{- x + 3} - 5$
12245	Solve the Function Operation	f(x)=-x+9 g(x)=3x^2+x-5 Find: (fog)(x)	$f (x) = - x + 9$ $g (x) = 3 x^{2} + x - 5$ Find: $((f \circ g)) (x)$
12246	Solve for x	square root of x+7+2 = square root of 3-x	$\sqrt{x + 7} + 2 = \sqrt{3 - x}$
12247	Find the Concavity	f(x)=1/4x^4+4x^3+24x^2	$f (x) = \frac{1}{4} x^{4} + 4 x^{3} + 24 x^{2}$
12248	Simplify	x^(-1/2)*x	$x^{- \frac{1}{2}} \cdot x$
12249	Evaluate the Integral	integral from 0 to 1 of (1+4x+9x^2+16x^3) with respect to x	$\int_{0}^{1} (1 + 4 x + 9 x^{2} + 16 x^{3}) d x$
12250	Solve for n	4^(2n^2+2n)=8	$4^{2 n^{2} + 2 n} = 8$
12251	Find the Derivative - d/dx	sin(x^2+pi)	$\sin (x^{2} + π)$
12252	Convert to a Decimal	290deg	$290$ degrees
12253	Solve for x	3/4-(2x)/(4x-24)=8/(x-6)	$\frac{3}{4} - \frac{2 x}{4 x - 24} = \frac{8}{x - 6}$
12254	Graph	f(x)=x^3+x^2+x^1+x^0	$f (x) = x^{3} + x^{2} + x^{1} + x^{0}$
12255	Find dy/dx	10x^3+5y^2=25y	$10 x^{3} + 5 y^{2} = 25 y$
12256	Simplify the Matrix	M=((x^5)^0x^8(x^2)^3)/((x*x)^5) , x!=0	$M = \frac{{(x^{5})}^{0} x^{8} {(x^{2})}^{3}}{{(x \cdot x)}^{5}}$ , $x \neq 0$
12257	Find dy/dx	3y^2-4x=x^2y	$3 y^{2} - 4 x = x^{2} y$
12258	Simplify the Radical Expression	cube root of 16xy	$\sqrt[3]{16 x y}$
12259	Simplify	x^2(x-1)^3	$x^{2} {(x - 1)}^{3}$
12260	Find the x and y Intercepts	P(x)=(x+1)(x-2)(x-4)	$P (x) = (x + 1) (x - 2) (x - 4)$
12261	Convert to Radical Form	-(49)^(1/2)	$- {(49)}^{\frac{1}{2}}$
12262	Simplify	(2x)(2x)(2x)	$(2 x) (2 x) (2 x)$
12263	Solve for d	d(4d+5)-8=0	$d (4 d + 5) - 8 = 0$
12264	Solve the Rational Equation for x	7+ square root of x=12	$7 + \sqrt{x} = 12$
12265	Add	(5+24y^3-7y^2)+(-6y^3+7y^2+5)	$(5 + 24 y^{3} - 7 y^{2}) + (- 6 y^{3} + 7 y^{2} + 5)$
12266	Find the Exact Value	(2^3(3^2-2^0))/(2^3-3^2)	$\frac{2^{3} (3^{2} - 2^{0})}{(2^{3} - 3^{2})}$
12267	Solve the Inequality for k	4k-16<k+2	$4 k - 16 < k + 2$
12268	Simplify the Radical Expression	cube root of square root of 7	$\sqrt[3]{\sqrt{7}}$
12269	Graph	f^-1(x)=(2x)/3-8/3	$f^{- 1} (x) = \frac{2 x}{3} - \frac{8}{3}$
12270	Solve for x	4 log base x of square root of 2=1/2	$4 \log_{x} (\sqrt{2}) = \frac{1}{2}$
12271	Solve the System of Equations	x+y=-4 -2x-2y=6	$x + y = - 4$ $- 2 x - 2 y = 6$
12272	Evaluate the Integral	integral from e to e^2 of natural log of x with respect to x	$\int_{e}^{e^{2}} \ln (x) d x$
12273	Find dy/dx	-4x-5y^3+4-x^2=0	$- 4 x - 5 y^{3} + 4 - x^{2} = 0$
12274	Simplify	(x+2)/(x-1)*(x^2-x-2)/(x^2-x-6)	$\frac{x + 2}{x - 1} \cdot \frac{x^{2} - x - 2}{x^{2} - x - 6}$
12275	Solve the Inequality for x	x-10<6-5x	$x - 10 < 6 - 5 x$
12276	Round to the Nearest Whole Number	3 5/9	$3 \frac{5}{9}$
12277	Solve the Inequality for n	-18+n<-7	$- 18 + n < - 7$
12278	Solve for x	0.8(x^2+2x+110)^(2/3)=20	$0.8 {(x^{2} + 2 x + 110)}^{\frac{2}{3}} = 20$
12279	Solve for x	1/2 natural log of x+37 = natural log of x^2-25- natural log of x+5	$\frac{1}{2} \ln (x + 37) = \ln (x^{2} - 25) - \ln (x + 5)$
12280	Solve for x	1-3/(x+7)=(3x)/(x^2+x-42)	$1 - \frac{3}{x + 7} = \frac{3 x}{x^{2} + x - 42}$
12281	Solve the Function Operation	f(x)=-3x+1 g(x)=3x^2+4x-15 Find: f(g(x))	$f (x) = - 3 x + 1$ $g (x) = 3 x^{2} + 4 x - 15$ Find: $f (g (x))$
12282	Evaluate	((4(6-3)^2-5((-1)^2+7))^3-5)/(-3^2(2+3)+3(-2)^2-(-1)^3(-3)^2)	$\frac{{(4 {(6 - 3)}^{2} - 5 ({(- 1)}^{2} + 7))}^{3} - 5}{- 3^{2} (2 + 3) + 3 {(- 2)}^{2} - {(- 1)}^{3} {(- 3)}^{2}}$
12283	Simplify the Radical Expression	- square root of 27-3 square root of 45- square root of 20+2 square root of 45	$- \sqrt{27} - 3 \sqrt{45} - \sqrt{20} + 2 \sqrt{45}$
12284	Find the GCF	Find the GCF of 130x and 13	Find the GCF of $130 x$ and $13$
12285	Solve the Inequality for n	n/2<0	$\frac{n}{2} < 0$
12286	Multiply	square root of 15n^2* square root of 10n^3	$\sqrt{15 n^{2}} \cdot \sqrt{10 n^{3}}$
12287	Write in Standard Form	i(2+i)	$i (2 + i)$
12288	Simplify	1/3(x-3)+2/3(x+3)	$\frac{1}{3} (x - 3) + \frac{2}{3} (x + 3)$
12289	Solve the System of Equations	y=4+x y=-5x+16	$y = 4 + x$ $y = - 5 x + 16$
12290	Evaluate the Function	P(0)=1/33d+1	$P (0) = \frac{1}{33} d + 1$
12291	Solve the Function Operation	If f(x)=2x and g(x)=2x^2-1 find f(g(x))	If $f (x) = 2 x$ and $g (x) = 2 x^{2} - 1$ find $f (g (x))$
12292	Evaluate	i^20i^25i^23*i^18	$i^{20} \cdot i^{25} \cdot i^{23} \cdot i^{18}$
12293	Factor by Grouping	10x-2xy+35-7y	$10 x - 2 x y + 35 - 7 y$
12294	Solve the Function Operation	Given that f(x)=x^2-11x+18 and g(x)=x-9 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 11 x + 18$ and $g (x) = x - 9$ ; find $f (x) + g (x)$ and express the result in standard form.
12295	Find the Domain	(5x)/(3x(x+12))	$\frac{5 x}{3 x (x + 12)}$
12296	Use Logarithmic Differentiation to Find the Derivative	y=x^4sin(x)	$y = x^{4} \sin (x)$
12297	Evaluate the Limit	limit as x approaches 9 of (2x^2-162)/(x+3 square root of x-18)	$lim_{x \to 9} \frac{2 x^{2} - 162}{x + 3 \sqrt{x} - 18}$
12298	Simplify	(k^5m^2)/(k^-2(m^-2)^-5)	$\frac{k^{5} m^{2}}{k^{- 2} {(m^{- 2})}^{- 5}}$
12299	Solve for x	8+(1/x-2)=16	$8 + (\frac{1}{x} - 2) = 16$
12300	Solve the Inequality for w	P=2l+2w	$P = 2 l + 2 w$