Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44101	Simplify	(m^-3t^-3)/((m^2t^3)^-1)	$\frac{m^{- 3} t^{- 3}}{{(m^{2} t^{3})}^{- 1}}$
44102	Simplify the Matrix	(x^2-4x)/(x^2-16) , x!=-4 , 4	$\frac{x^{2} - 4 x}{x^{2} - 16}$ , $x \neq - 4$ , $4$
44103	Evaluate	eighth root of 36a^12b^6	$\sqrt[8]{36 a^{12} b^{6}}$
44104	Simplify	(4+ cube root of 2)/( cube root of 9)	$\frac{4 + \sqrt[3]{2}}{\sqrt[3]{9}}$
44105	Evaluate the Limit	limit as h approaches 0 of (e^(2+h)-e^2)/h	$lim_{h \to 0} \frac{e^{2 + h} - e^{2}}{h}$
44106	Find the GCF	GCF of 12 and 18	GCF of $12$ and $18$
44107	Find the Inverse	q(t)=q(1-e^(-t/a))	$q (t) = q (1 - e^{- \frac{t}{a}})$
44108	Find the Remainder	(11x^2+2x^3-20)÷(x^2+x-2)	$(11 x^{2} + 2 x^{3} - 20) \div (x^{2} + x - 2)$
44109	Solve for k	k/2+5-2k=6k	$\frac{k}{2} + 5 - 2 k = 6 k$
44110	Simplify	5y^2+5y+5y+5x^2	$5 y^{2} + 5 y + 5 y + 5 x^{2}$
44111	Describe the Transformation	y=-2 cube root of x-1-2	$y = - 2 \sqrt[3]{x - 1} - 2$
44112	Simplify the Radical Expression	(32x^-10y^35)^(4/5)	${(32 x^{- 10} y^{35})}^{\frac{4}{5}}$
44113	Find the Second Derivative	x^4+2x^2y^2=8	$x^{4} + 2 x^{2} y^{2} = 8$
44114	Solve for p	square root of p-2 fourth root of p-3=0	$\sqrt{p} - 2 \sqrt[4]{p} - 3 = 0$
44115	Graph	y=pi/2	$y = \frac{π}{2}$
44116	Solve the System of Inequalities	y<1/2x-5 y<=-3x+4	$y < \frac{1}{2} x - 5$ $y \leq - 3 x + 4$
44117	Solve for x	(x+7)/(x+6)-(2x)/(6-x)=(2x)/(x-6)	$\frac{x + 7}{x + 6} - \frac{2 x}{6 - x} = \frac{2 x}{x - 6}$
44118	Simplify the Radical Expression	square root of 3x^18y	$\sqrt{3 x^{18} y}$
44119	Find the Derivative - d/dx	y=sin(x)cos(x)^2	$y = \sin (x) \cos^{2} (x)$
44120	Solve for n	3+2 square root of n=n	$3 + 2 \sqrt{n} = n$
44121	Solve the Inequality for a	a/-3.5<=-1.7	$\frac{a}{- 3.5} \leq - 1.7$
44122	Solve the System of Inequalities	y<-2x-6 y<=x+3	$y < - 2 x - 6$ $y \leq x + 3$
44123	Multiply	3/4*6	$\frac{3}{4} \times 6$
44124	Solve for y	2x+\|y\|=0	$2 x + \| y \| = 0$
44125	Simplify	-7x^2y^35x^5y^4	$- 7 x^{2} y^{3} \cdot 5 x^{5} \cdot y^{4}$
44126	Evaluate Using the Given Value	5w-w/x when w=6 and x=2	$5 w - \frac{w}{x}$ when $w = 6$ and $x = 2$
44127	Evaluate the Integral	integral of (x-3)^2+3 with respect to x	$\int {(x - 3)}^{2} + 3 d x$
44128	Find the Average Rate of Change	h(t)=sin(5t) , [0,pi/10]	$h (t) = \sin (5 t)$ , $[0, \frac{π}{10}]$
44129	Write in Slope-Intercept Form	x+2y=3x+4	$x + 2 y = 3 x + 4$
44130	Write in Slope-Intercept Form	-4x+y<-7	$- 4 x + y < - 7$
44131	Evaluate	5/6(3)^0	$\frac{5}{6} {(3)}^{0}$
44132	Solve for a	a+1/4=3/4	$a + \frac{1}{4} = \frac{3}{4}$
44133	Solve for y	y = square root of 49-10	$y = \sqrt{49} - 10$
44134	Find the Turning Points	f(x) = cube root of x-1	$f (x) = \sqrt[3]{x - 1}$
44135	Find the Domain and Range	f(x) = square root of 64-x^2,0<=x<8; 8,8<=x<16; 16,x=16	$f (x) = {\begin{cases} \sqrt{64 - x^{2}}, 0 \leq x < 8 \\ 8, 8 \leq x < 16 \\ 16, x = 16 \end{cases}$
44136	Solve for x	\|5x-3\|-6=-2x+12	$\| 5 x - 3 \| - 6 = - 2 x + 12$
44137	Solve the Inequality for x	-x^2+x+6<0	$- x^{2} + x + 6 < 0$
44138	Solve for x	square root of x-2=x	$\sqrt{x - 2} = x$
44139	Find the Points of Intersection	(x-3)^2+(y+2)^2=36 (y+2)^2=8(x-9)	${(x - 3)}^{2} + {(y + 2)}^{2} = 36$ ${(y + 2)}^{2} = 8 (x - 9)$
44140	Expand Using Pascal's Triangle	(2x^3+1)^5	${(2 x^{3} + 1)}^{5}$
44141	Find the Degree	(-2x^3)*(x^7-x^2y^2)	$(- 2 x^{3}) \cdot (x^{7} - x^{2} y^{2})$
44142	Evaluate the Integral	integral of (1/(x^(3/2))-x^(4/5)) with respect to x	$\int (\frac{1}{x^{\frac{3}{2}}} - x^{\frac{4}{5}}) d x$
44143	Solve for m	p=( square root of 3mk)/(2t^2)	$p = \frac{\sqrt{3 m k}}{2 t^{2}}$
44144	Simplify the Radical Expression	fourth root of 10^5* fourth root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[4]{10}$
44145	Solve for a	18a^2-30=-33a	$18 a^{2} - 30 = - 33 a$
44146	Graph	slope -2	slope $- 2$
44147	Solve for x	7-10x+5x=6+1-5x	$7 - 10 x + 5 x = 6 + 1 - 5 x$
44148	Find h(g(x))	g(x)=-8x h(x)=2x+3	$g (x) = - 8 x$ $h (x) = 2 x + 3$
44149	Simplify the Radical Expression	(4)( square root of y^3)	$(4) (\sqrt{y^{3}})$
44150	Find All Complex Solutions	square root of x^2-4x+4=4	$\sqrt{x^{2} - 4 x + 4} = 4$
44151	Find the Domain and Range	f(x)=-1/2(10)^x	$f (x) = - \frac{1}{2} {(10)}^{x}$
44152	Simplify	(4x^2y^-2)^2(2x^-3y^2)^-1	${(4 x^{2} y^{- 2})}^{2} {(2 x^{- 3} y^{2})}^{- 1}$
44153	Evaluate	5/8+1/2(3/4)^2	$\frac{5}{8} + \frac{1}{2} {(\frac{3}{4})}^{2}$
44154	Solve for x	9^(4x-1)=(1/27)^x	$9^{4 x - 1} = {(\frac{1}{27})}^{x}$
44155	Graph	x+y<2 and x+y>-2	$x + y < 2$ and $x + y > - 2$
44156	Solve for x	1=sin(x)	$1 = \sin (x)$
44157	Simplify	(7x^-3)/(9x^-4)	$\frac{7 x^{- 3}}{9 x^{- 4}}$
44158	Simplify	-3p^3+5p+(-2p^2)+(-4)-12p+5-(-8p^3)	$- 3 p^{3} + 5 p + (- 2 p^{2}) + (- 4) - 12 p + 5 - (- 8 p^{3})$
44159	Evaluate the Limit	limit as x approaches 1 from the right of (x-2)^2	$lim_{x \to 1^{+}} {(x - 2)}^{2}$
44160	Multiply	2 square root of 3* square root of 6	$2 \sqrt{3} \cdot \sqrt{6}$
44161	Find g(h(x))	g(x)=-8x h(x)=2x+3	$g (x) = - 8 x$ $h (x) = 2 x + 3$
44162	Factor by Grouping	6x-15xy+40y-16	$6 x - 15 x y + 40 y - 16$
44163	Solve for x	16x^4+31x^2=2	$16 x^{4} + 31 x^{2} = 2$
44164	Simplify	(40v^2)/(35v^4)+(20v^3)/(5v)	$\frac{40 v^{2}}{35 v^{4}} + \frac{20 v^{3}}{5 v}$
44165	Write in Slope-Intercept Form	y+2=x	$y + 2 = x$
44166	Add	(-5x^2+x-8)+(-3x^2-8x-3)	$(- 5 x^{2} + x - 8) + (- 3 x^{2} - 8 x - 3)$
44167	Graph	y=x/1	$y = \frac{x}{1}$
44168	Multiply	(x-g)(x+g)(x^2-g^2)	$(x - g) (x + g) (x^{2} - g^{2})$
44169	Evaluate	1/3(2a^3b)(6b^3)	$\frac{1}{3} (2 a^{3} b) (6 b^{3})$
44170	Solve for θ	-sin(2theta)-cos(4theta)=0	$- \sin (2 θ) - \cos (4 θ) = 0$
44171	Subtract	(-4x+3)/3-(-x+2)/3	$\frac{- 4 x + 3}{3} - \frac{- x + 2}{3}$
44172	Find the Holes in the Graph	(2x^2-18)/(x^2-3x)	$\frac{2 x^{2} - 18}{x^{2} - 3 x}$
44173	Evaluate	square root of 4-x- square root of 3-x=1	$\sqrt{4 - x} - \sqrt{3 - x} = 1$
44174	Simplify the Radical Expression	3/(2+ square root of 5)	$\frac{3}{2 + \sqrt{5}}$
44175	Evaluate	2x+3x-5x	$2 x + 3 x - 5 x$
44176	Solve for x	x^2-9x+18=0 for x	$x^{2} - 9 x + 18 = 0$ for $x$
44177	Find the Roots (Zeros)	(x^2+10x-11)/(x-11)	$\frac{x^{2} + 10 x - 11}{x - 11}$
44178	Solve for a	a^2-1=0	$a^{2} - 1 = 0$
44179	Solve the Differential Equation	(dy)/(dx)=(-2x)/(3y^2) , y(2)=1	$\frac{d y}{d x} = \frac{- 2 x}{3 y^{2}}$ , $y (2) = 1$
44180	Simplify	2+2+7y^3-6y^3+1-3y^3+y	$2 + 2 + 7 y^{3} - 6 y^{3} + 1 - 3 y^{3} + y$
44181	Evaluate	1/2 log base 5 of 15- log base 5 of square root of 75	$\frac{1}{2} \log_{5} (15) - \log_{5} (\sqrt{75})$
44182	Find the Maximum/Minimum Value	y=4x^4+2x^3-x^2+10	$y = 4 x^{4} + 2 x^{3} - x^{2} + 10$
44183	Solve for x	natural log of 9/8=2 natural log of 3- natural log of x	$\ln (\frac{9}{8}) = 2 \ln (3) - \ln (x)$
44184	Subtract	square root of 12-5 square root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt{8} - 7 \sqrt{20}$
44185	Solve the Rational Equation for x	(5x)/(x-2)=7+10/(x-2)	$\frac{5 x}{x - 2} = 7 + \frac{10}{x - 2}$
44186	Solve for x	1/5(10x-20)=1/2(8x-4)	$\frac{1}{5} (10 x - 20) = \frac{1}{2} (8 x - 4)$
44187	Find the Derivative - d/dx	square root of e^(2x)	$\sqrt{e^{2 x}}$
44188	Simplify	(x^-3y^2)(y^3)^-2	$(x^{- 3} y^{2}) {(y^{3})}^{- 2}$
44189	Simplify	(-9x^2y^2+5x^2y-11xy+1)+(5x^2y^2-15xy-11)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) + (5 x^{2} y^{2} - 15 x y - 11)$
44190	Describe the Transformation	y=- square root of x+3	$y = - \sqrt{x + 3}$
44191	Find the Reference Angle	tan((11pi)/6)	$\tan (\frac{11 π}{6})$
44192	Solve the Function Operation	g(x)=x-11 find g(25)	$g (x) = x - 11$ find $g (25)$
44193	Simplify	((x+1)/(x^2+x-6))÷((x^2+5x+4)/(x+3))	$\frac{x + 1}{x^{2} + x - 6} \div \frac{x^{2} + 5 x + 4}{x + 3}$
44194	Solve the Function Operation	15-5(365x)=1 , 840	$15 - 5 (365 x) = 1$ , $840$
44195	Graph	x^2(x-2)^2(x-1)^2	$x^{2} {(x - 2)}^{2} {(x - 1)}^{2}$
44196	Divide Using Long Polynomial Division	12x^3+3x^2-11x+6 divided by 4x+5	$12 x^{3} + 3 x^{2} - 11 x + 6$ divided by $4 x + 5$
44197	Evaluate	tan(-480 degrees )	$\tan (- 480 °)$
44198	Graph	x^2+y^2>36 y<-\|x\|+6	$x^{2} + y^{2} > 36$ $y < - \| x \| + 6$
44199	Verify the Identity	1+(tan(theta))/(cot(theta))=sec(theta)^2	$1 + \frac{\tan (θ)}{\cot (θ)} = \sec^{2} (θ)$
44200	Find the Exact Value	arcsec((-1)^-1)	$arcsec ({(- 1)}^{- 1})$