Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8101	Simplify	(3x)/8+(5x-16)/8	$\frac{3 x}{8} + \frac{5 x - 16}{8}$
8102	Simplify	(-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)	$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$
8103	Simplify	(128c^15d^11e^5)^(1/3)	${(128 c^{15} d^{11} e^{5})}^{\frac{1}{3}}$
8104	Find the Cotangent Given the Point	((2 square root of 2)/3,1/3)	$(\frac{2 \sqrt{2}}{3}, \frac{1}{3})$
8105	Find the Inverse	y=e^(x/2)	$y = e^{\frac{x}{2}}$
8106	Simplify	((12x^3y^-4)/(4x^-2y^-4))^-2	${(\frac{12 x^{3} y^{- 4}}{4 x^{- 2} y^{- 4}})}^{- 2}$
8107	Evaluate the Limit	limit as x approaches negative infinity of ( square root of 16x^2+3)/(2x+5)	$lim_{x \to - \infty} \frac{\sqrt{16 x^{2} + 3}}{2 x + 5}$
8108	Simplify	2^(1/2)*2^3	$2^{\frac{1}{2}} \cdot 2^{3}$
8109	Solve for n	1/3(2n-1/4)=7/12	$\frac{1}{3} (2 n - \frac{1}{4}) = \frac{7}{12}$
8110	Simplify	a(b-c)	$a (b - c)$
8111	Evaluate	83-(14-34)*2	$83 - (14 - 34) \cdot 2$
8112	Simplify	2 square root of st^2+3 square root of s^2+5 square root of s^3t^4	$2 \sqrt{s t^{2}} + 3 \sqrt{s^{2}} + 5 \sqrt{s^{3} t^{4}}$
8113	Graph	y>=-5 y-1<3x	$y \geq - 5$ $y - 1 < 3 x$
8114	Solve the System of Equations	9x^2+4(y-2)^2=36 x^2=2y	$9 x^{2} + 4 {(y - 2)}^{2} = 36$ $x^{2} = 2 y$
8115	Write the Fraction in Simplest Form	((2v^4)^3)/(10v^5)	$\frac{{(2 v^{4})}^{3}}{10 v^{5}}$
8116	Simplify	square root of 36x^5* fourth root of 256x^10	$\sqrt{36 x^{5}} \cdot \sqrt[4]{256 x^{10}}$
8117	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^2+4x^3+9+x^6-5x^5	$f (x) = - 2 x^{2} + 4 x^{3} + 9 + x^{6} - 5 x^{5}$
8118	Simplify	35x+7z-4z-15x-3z	$35 x + 7 z - 4 z - 15 x - 3 z$
8119	Solve for x	35x-56=g(-5x+8)	$35 x - 56 = g (- 5 x + 8)$
8120	Find the LCM	2 , 3 , 8	$2$ , $3$ , $8$
8121	Find the Exact Value	cos(0 degrees )+cot(45 degrees )	$\cos (0 °) + \cot (45 °)$
8122	Write in Standard Form	(6x^2-9x^3+3)/3	$\frac{6 x^{2} - 9 x^{3} + 3}{3}$
8123	Solve for x	1/4 fourth root of 2x+6=10	$\frac{1}{4} \sqrt[4]{2 x} + 6 = 10$
8124	Factor	U(t)=2t^4+3t^3+27t^2+48t-80	$U (t) = 2 t^{4} + 3 t^{3} + 27 t^{2} + 48 t - 80$
8125	Simplify	square root of (7x)^3	$\sqrt{{(7 x)}^{3}}$
8126	Solve for z	z = square root of 7z-10	$z = \sqrt{7 z - 10}$
8127	Simplify	((3x^2y)^0)/(2xy)*(8x^3y)/(3y^2)	$\frac{{(3 x^{2} y)}^{0}}{2 x y} \cdot \frac{8 x^{3} y}{3 y^{2}}$
8128	Find the Domain and Range	f(x)=( square root of x^2-2x+1)/(x-1)	$f (x) = \frac{\sqrt{x^{2} - 2 x + 1}}{x - 1}$
8129	Simplify	(x^2-4y^2)÷((5x-10y)/x)	$(x^{2} - 4 y^{2}) \div \frac{5 x - 10 y}{x}$
8130	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-6) and has a slope of 2/3 ?	What is the equation of the line that passes through the point $(- 6, - 6)$ and has a slope of $\frac{2}{3}$ ?
8131	Simplify	square root of 13-(13-2x)	$\sqrt{13 - (13 - 2 x)}$
8132	Write the Fraction in Simplest Form	(4p^-8)/(-4(p^-2)^4)	$\frac{4 p^{- 8}}{- 4 {(p^{- 2})}^{4}}$
8133	Solve for x	(4x+8)/15-(2x-8)/9=(27x+18)/27-x	$\frac{4 x + 8}{15} - \frac{2 x - 8}{9} = \frac{27 x + 18}{27} - x$
8134	Solve for r	-4/(r+9)=7/-2	$\frac{- 4}{r + 9} = \frac{7}{- 2}$
8135	Simplify	( square root of 8- square root of 6)/( square root of 12-2)	$\frac{\sqrt{8} - \sqrt{6}}{\sqrt{12} - 2}$
8136	Solve for n	square root of n/6 = square root of 63-n	$\sqrt{\frac{n}{6}} = \sqrt{63 - n}$
8137	Simplify the Radical Expression	( fifth root of 64)/( fifth root of 4)	$\frac{\sqrt[5]{64}}{\sqrt[5]{4}}$
8138	Find the Holes in the Graph	y=x/(x(x-1))	$y = \frac{x}{x (x - 1)}$
8139	Solve for A	y=Ax+b	$y = A x + b$
8140	Write the Fraction in Simplest Form	(5(a)^3)/(15a)	$\frac{5 {(a)}^{3}}{15 a}$
8141	Simplify	1÷(( square root of 3)/2)	$1 \div \frac{\sqrt{3}}{2}$
8142	Write in Standard Form	2x^2+2y^2-8=0	$2 x^{2} + 2 y^{2} - 8 = 0$
8143	Simplify	6 square root of x+ square root of x-3 square root of y- square root of y	$6 \sqrt{x} + \sqrt{x} - 3 \sqrt{y} - \sqrt{y}$
8144	Divide	( square root of 15)/(5 square root of 20)	$\frac{\sqrt{15}}{5 \sqrt{20}}$
8145	Simplify	(3x-21)/(x^2-3x-28)*(5x+20)/(2x+8)	$\frac{3 x - 21}{x^{2} - 3 x - 28} \cdot \frac{5 x + 20}{2 x + 8}$
8146	Find the Asymptotes	f(x)=((x+7)(x-3)(x+1))/((x-3)(x-5))	$f (x) = \frac{(x + 7) (x - 3) (x + 1)}{(x - 3) (x - 5)}$
8147	Graph	x^2+y<=-3	$x^{2} + y \leq - 3$
8148	Find the Domain	5/( square root of x-1-3)	$\frac{5}{\sqrt{x - 1} - 3}$
8149	Rationalize the Denominator	4/( cube root of 8x^2)	$\frac{4}{\sqrt[3]{8 x^{2}}}$
8150	Solve for d	(2^d)^4=2^12	${(2^{d})}^{4} = 2^{12}$
8151	Solve for y	-2y+5-7y=-7y-4+y	$- 2 y + 5 - 7 y = - 7 y - 4 + y$
8152	Find the Cotangent Given the Point	((2 square root of 5)/5,-( square root of 5)/5)	$(\frac{2 \sqrt{5}}{5}, - \frac{\sqrt{5}}{5})$
8153	Find the Exact Value	((2+(-5+4)-(-8))-2)	$((2 + (- 5 + 4) - (- 8)) - 2)$
8154	Find the x and y Intercepts	(-5x^2+20)/(3x^2-6x)	$\frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
8155	Convert to a Decimal	-330deg	$- 330$ degrees
8156	Simplify	-(8x^18)/(4x^6)	$- \frac{8 x^{18}}{4 x^{6}}$
8157	Graph	y=2+3cos(pi/3(x-1))	$y = 2 + 3 \cos (\frac{π}{3} (x - 1))$
8158	Convert to Radical Form	(2x^2-7)^(1/2)	${(2 x^{2} - 7)}^{\frac{1}{2}}$
8159	Simplify	((x^2)/4)/((x^2)/4-4/x)	$\frac{\frac{x^{2}}{4}}{\frac{x^{2}}{4} - \frac{4}{x}}$
8160	Evaluate	9^(8x)=27	$9^{8 x} = 27$
8161	Simplify	( square root of 18x^4)/( square root of x^4)	$\frac{\sqrt{18 x^{4}}}{\sqrt{x^{4}}}$
8162	Find the Center and Radius	x^2+(y+1/5)^2=9/25	$x^{2} + {(y + \frac{1}{5})}^{2} = \frac{9}{25}$
8163	Determine if Linearly Dependent	[[-1],[4],[7]] , [[6],[-5],[8]] , [[1],[5],[9]]	$[\begin{array}{c} - 1 \\ 4 \\ 7 \end{array}]$ , $[\begin{array}{c} 6 \\ - 5 \\ 8 \end{array}]$ , $[\begin{array}{c} 1 \\ 5 \\ 9 \end{array}]$
8164	Write in Standard Form	(3x^2-x-5)(3x^2-3x+4)	$(3 x^{2} - x - 5) (3 x^{2} - 3 x + 4)$
8165	Simplify	3 fourth root of 32-2 fourth root of 162	$3 \sqrt[4]{32} - 2 \sqrt[4]{162}$
8166	Factor	8x^7-4x^5-18x^3+9x	$8 x^{7} - 4 x^{5} - 18 x^{3} + 9 x$
8167	Graph	-((12n)/(4n^5))^3	$- {(\frac{12 n}{4 n^{5}})}^{3}$
8168	Simplify	square root of 5x square root of 15	$\sqrt{5 x} \sqrt{15}$
8169	Solve the Function Operation	f(x)=3x-1 g(x)=x^2-x-4 Find: f(g(x))	$f (x) = 3 x - 1$ $g (x) = x^{2} - x - 4$ Find: $f (g (x))$
8170	Evaluate	4v^3*vu^2	$4 v^{3} \cdot v u^{2}$
8171	Multiply	4v^3*vu^2	$4 v^{3} \cdot v u^{2}$
8172	Find the Axis of Symmetry	y^2=x+81	$y^{2} = x + 81$
8173	Solve for y	1/4-2/3y=3/4-1/3y	$\frac{1}{4} - \frac{2}{3} y = \frac{3}{4} - \frac{1}{3} y$
8174	Integrate Using u-Substitution	integral of x square root of 4-x with respect to x	$\int x \sqrt{4 - x} d x$
8175	Solve for x	36^(-4x-6)=(1/6)^(2x^2-12)	$36^{- 4 x - 6} = {(\frac{1}{6})}^{2 x^{2} - 12}$
8176	Solve for s	-7/3(12s+24)+14=-14	$- \frac{7}{3} (12 s + 24) + 14 = - 14$
8177	Solve for p	1/3(p+9)=3+2(p-6)	$\frac{1}{3} (p + 9) = 3 + 2 (p - 6)$
8178	Evaluate	(120÷20)÷(2*3)	$(120 \div 20) \div (2 \cdot 3)$
8179	Find the Domain and Range	f(x)=-1/5 square root of x-1-4	$f (x) = - \frac{1}{5} \sqrt{x - 1} - 4$
8180	Graph	-6x>-18 and 1<=2x+5	$- 6 x > - 18$ and $1 \leq 2 x + 5$
8181	Find the Critical Points	f(x) = square root of x^3+3x^2	$f (x) = \sqrt{x^{3} + 3 x^{2}}$
8182	Solve for x	sec(x)^2+sec(x)-2=0	$\sec^{2} (x) + \sec (x) - 2 = 0$
8183	Simplify	(x+y^2)^2	${(x + y^{2})}^{2}$
8184	Simplify	((x^5y^2)^2)/(x^-3y^7)	$\frac{{(x^{5} y^{2})}^{2}}{x^{- 3} y^{7}}$
8185	Find the Roots (Zeros)	x^4+7x^3+10x^2=0	$x^{4} + 7 x^{3} + 10 x^{2} = 0$
8186	Evaluate the Limit	limit as x approaches 0 of (x^2+x)/(2x)	$lim_{x \to 0} \frac{x^{2} + x}{2 x}$
8187	Write in Standard Form	2x-y^2=4y+10	$2 x - y^{2} = 4 y + 10$
8188	Evaluate the Integral	integral of 6x^4(2-3x^5)^7 with respect to x	$\int 6 x^{4} {(2 - 3 x^{5})}^{7} d x$
8189	Simplify	4^0+2^-1	$4^{0} + 2^{- 1}$
8190	Find the Product	square root of 11* ninth root of 11	$\sqrt{11} \cdot \sqrt[9]{11}$
8191	Solve the Inequality for x	y<=x^2+2x-8	$y \leq x^{2} + 2 x - 8$
8192	Solve for w	6(3-5w)=5(4-2w)-20w	$6 (3 - 5 w) = 5 (4 - 2 w) - 20 w$
8193	Solve the Inequality for x	1<=1/2x+1<=3	$1 \leq \frac{1}{2} x + 1 \leq 3$
8194	Determine if a Polynomial	-(w^4)/6-3w^2+10w^5	$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$
8195	Find the Domain	(6(x+4))/(x^2-16)	$\frac{6 (x + 4)}{(x^{2} - 16)}$
8196	Simplify	((2x^5y^8)/(5x^6y^5))^2	${(\frac{2 x^{5} y^{8}}{5 x^{6} y^{5}})}^{2}$
8197	Simplify	((2xy)(3x^2y^4))/(-6xy^5)	$\frac{(2 x y) (3 x^{2} y^{4})}{- 6 x y^{5}}$
8198	Evaluate Using the Given Value	Evaluate 1/4c+3d when c=6 and d=7	Evaluate $\frac{1}{4} c + 3 d$ when $c = 6$ and $d = 7$
8199	Simplify	((x+7)/2)(6/x)	$(\frac{x + 7}{2}) (\frac{6}{x})$
8200	Solve for x	2 square root of 2x-3=-4	$2 \sqrt{2 x - 3} = - 4$