Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6901	Find the Product	2y^2(y^2-6y+5)	$2 y^{2} (y^{2} - 6 y + 5)$
6902	Simplify	2st+3t-s+5t+4s	$2 s t + 3 t - s + 5 t + 4 s$
6903	Simplify	cube root of 2^5* square root of 2	$\sqrt[3]{2^{5}} \cdot \sqrt{2}$
6904	Find the Excluded Values	(2x)/(x-3)+6/(3-x)	$\frac{2 x}{x - 3} + \frac{6}{3 - x}$
6905	Solve the Function Operation	Given g(x)=-2x+1 ; find g(-1)	Given $g (x) = - 2 x + 1$ ; find $g (- 1)$
6906	Evaluate the Limit	limit as x approaches 2 of (x-2)/(3x-6)	$lim_{x \to 2} \frac{x - 2}{3 x - 6}$
6907	Solve for x	(3x-1)(x+3)=x(1+6x)	$(3 x - 1) (x + 3) = x (1 + 6 x)$
6908	Solve for b	-0.9-5.5b+0.1=-5.7b+0.88	$- 0.9 - 5.5 b + 0.1 = - 5.7 b + 0.88$
6909	Solve by Graphing	y=-5/3x+1 y=-1/3x-3	$y = - \frac{5}{3} x + 1$ $y = - \frac{1}{3} x - 3$
6910	Simplify	(7v-v^2+14)-(15+8v+v^2)	$(7 v - v^{2} + 14) - (15 + 8 v + v^{2})$
6911	Simplify	f(t)=(t(t-3))/(t-2)+(4-t)/(t-2)	$f (t) = \frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
6912	Rationalize the Denominator	( square root of 2)/( square root of 2)	$\frac{\sqrt{2}}{\sqrt{2}}$
6913	Solve by Graphing	y=3x+4 and y=2x+4	$y = 3 x + 4$ and $y = 2 x + 4$
6914	Find the Derivative - d/dx	-3x^(2/3)	$- 3 x^{\frac{2}{3}}$
6915	Evaluate	cos(theta)=4/5	$\cos (θ) = \frac{4}{5}$
6916	Factor	3ab(x+1)-2(x+1)	$3 a b (x + 1) - 2 (x + 1)$
6917	Convert to Radical Form	(2x^3y^4)^(-2/3)	${(2 x^{3} y^{4})}^{- \frac{2}{3}}$
6918	Subtract	(4x-1)/(3x^2y)-(7x-1)/(3x^2y)	$\frac{4 x - 1}{3 x^{2} y} - \frac{7 x - 1}{3 x^{2} y}$
6919	Determine if Linearly Dependent	[[-1,6,1],[4,-5,5],[7,8,9]]	$[\begin{array}{c} - 1 & 6 & 1 \\ 4 & - 5 & 5 \\ 7 & 8 & 9 \end{array}]$
6920	Solve the Inequality for x	(x^2-10x+24)/(x^2-1)<=0	$\frac{x^{2} - 10 x + 24}{x^{2} - 1} \leq 0$
6921	Simplify	x(6x+8)+4x-10	$x (6 x + 8) + 4 x - 10$
6922	Find the Roots (Zeros)	3x^2+x+1=0	$3 x^{2} + x + 1 = 0$
6923	Add	1/7+5/14+3/7	$\frac{1}{7} + \frac{5}{14} + \frac{3}{7}$
6924	Find the Product	(5a)/(5a+5)*(10a+10)	$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$
6925	Evaluate the Integral	integral from -3 to 5 of [2y-(y^2-15)] with respect to y	$\int_{- 3}^{5} [2 y - (y^{2} - 15)] d y$
6926	Simplify	3 square root of 32*4 square root of 8	$3 \sqrt{32} \cdot 4 \sqrt{8}$
6927	Find the Center and Radius	x^2+y^2+8x=6y	$x^{2} + y^{2} + 8 x = 6 y$
6928	Solve the Function Operation	If f(x)=18x^5 and g(x)=6x^3 , x!=0 ; find (f/g)(x)	If $f (x) = 18 x^{5}$ and $g (x) = 6 x^{3}$ , $x \neq 0$ ; find $(\frac{f}{g}) (x)$
6929	Multiply	(11y^2-9)(3y-2)	$(11 y^{2} - 9) (3 y - 2)$
6930	Subtract	-3x^2+4x+10-2x^2-2x	$- 3 x^{2} + 4 x + 10 - 2 x^{2} - 2 x$
6931	Solve for z	0.4+0.5z=0.6z+0.1z+2	$0.4 + 0.5 z = 0.6 z + 0.1 z + 2$
6932	Solve for n	-0.03n=-0.01(2n+3)	$- 0.03 n = - 0.01 (2 n + 3)$
6933	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-6-7x-5x^3	$f (x) = - 6 - 7 x - 5 x^{3}$
6934	Evaluate	1/2+(1/3)÷(1/2-1/3)	$\frac{1}{2} + \frac{1}{3} \div (\frac{1}{2} - \frac{1}{3})$
6935	Write in Standard Form	3+2x^4+4x^6-x^2	$3 + 2 x^{4} + 4 x^{6} - x^{2}$
6936	Solve for x	y=2x^4-5	$y = 2 x^{4} - 5$
6937	Find the Inverse	f(x)=1/3 cube root of x-1	$f (x) = \frac{1}{3} \sqrt[3]{x - 1}$
6938	Solve the Function Operation	Given g(x)=-x-2 ; find g(-3)	Given $g (x) = - x - 2$ ; find $g (- 3)$
6939	Find the Product	(2+ square root of 5)(2- square root of 5)	$(2 + \sqrt{5}) (2 - \sqrt{5})$
6940	Simplify	(x^(4/13))(x^(5/26))	$(x^{\frac{4}{13}}) (x^{\frac{5}{26}})$
6941	Solve the Inequality for y	4(y-3)<=4(2y+1)	$4 (y - 3) \leq 4 (2 y + 1)$
6942	Find Amplitude, Period, and Phase Shift	y=-1/3cos(1/2x+pi/3)	$y = - \frac{1}{3} \cos (\frac{1}{2} x + \frac{π}{3})$
6943	Solve for x	-1/x=-6/(x+1)	$- \frac{1}{x} = - \frac{6}{x + 1}$
6944	Graph	y>=4/5x-3 y<-2/3x+2 x>=0	$y \geq \frac{4}{5} x - 3$ $y < - \frac{2}{3} x + 2$ $x \geq 0$
6945	Solve the Inequality for g	4g-2/5<1/3	$4 g - \frac{2}{5} < \frac{1}{3}$
6946	Divide Using Long Polynomial Division	x^3+6x^2+3x-10 , x+5	$x^{3} + 6 x^{2} + 3 x - 10$ , $x + 5$
6947	Simplify	(8/(x-4))÷((x^2+6x-16)/(x-2))	$\frac{8}{x - 4} \div \frac{x^{2} + 6 x - 16}{x - 2}$
6948	Verify the Identity	sec(x)^2-sin(x)^2=cos(x)^2+tan(x)^2	$\sec^{2} (x) - \sin^{2} (x) = \cos^{2} (x) + \tan^{2} (x)$
6949	Simplify	(a/(a-1)+(1+a)/(-a))/((1-a)/a+a/(1+a))	$\frac{\frac{a}{a - 1} + \frac{1 + a}{- a}}{\frac{1 - a}{a} + \frac{a}{1 + a}}$
6950	Solve by Substitution	-4x+y=6 and -5x-y=21	$- 4 x + y = 6$ and $- 5 x - y = 21$
6951	Simplify	((16^(5/3))/(16^(5/6)))^(9/5)	${(\frac{16^{\frac{5}{3}}}{16^{\frac{5}{6}}})}^{\frac{9}{5}}$
6952	Graph	y>=x/2-3 y<2x	$y \geq \frac{x}{2} - 3$ $y < 2 x$
6953	Simplify the Radical Expression	square root of 3/(y^5)	$\sqrt{\frac{3}{y^{5}}}$
6954	Simplify	((8x^5y^2)(3x^3y^4))/(12xy^4)+9x^7y^2	$\frac{(8 x^{5} y^{2}) (3 x^{3} y^{4})}{12 x y^{4}} + 9 x^{7} y^{2}$
6955	Solve the Inequality for r	-4r>16	$- 4 r > 16$
6956	Simplify	( square root of 80x^4)/( square root of 5x^3)	$\frac{\sqrt{80 x^{4}}}{\sqrt{5 x^{3}}}$
6957	Simplify	square root of 8-6	$\sqrt{8} - 6$
6958	Solve by Substitution	y=2+1/4x 3x-5y=-3	$y = 2 + \frac{1}{4} x$ $3 x - 5 y = - 3$
6959	Simplify	(16x^6y^5z-12x^4y^6z^2+6x^3y^9)/(-4x^2y)	$\frac{16 x^{6} y^{5} z - 12 x^{4} y^{6} z^{2} + 6 x^{3} y^{9}}{- 4 x^{2} y}$
6960	Simplify	(x^-4*x^3)/x	$\frac{x^{- 4} \cdot x^{3}}{x}$
6961	Find the Excluded Values	(x^2-1)/(5x^2+5x)	$\frac{x^{2} - 1}{5 x^{2} + 5 x}$
6962	Simplify	square root of square root of square root of 256	$\sqrt{\sqrt{\sqrt{256}}}$
6963	Simplify	i/(2-3i)	$\frac{i}{2 - 3 i}$
6964	Solve for x	10x=10-5(x-7)	$10 x = 10 - 5 (x - 7)$
6965	Simplify	( square root of (x^6)/4)^3	${(\sqrt{\frac{x^{6}}{4}})}^{3}$
6966	Solve the Inequality for a	3a+2>(3a-6)/3	$3 a + 2 > \frac{3 a - 6}{3}$
6967	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,4) and has a slope of 1/3 ?	What is the equation of the line that passes through the point $(- 3, 4)$ and has a slope of $\frac{1}{3}$ ?
6968	Write Using Positive Exponents	y^3*y^-5	$y^{3} \cdot y^{- 5}$
6969	Write in Exponential Form	( seventh root of 5ab^2)^5	${(\sqrt[7]{5 a b^{2}})}^{5}$
6970	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-7x^4+x^5-4x^2+9x	$f (x) = - 7 x^{4} + x^{5} - 4 x^{2} + 9 x$
6971	Solve the Function Operation	If f(x)=20x^6 and g(x)=2x , x!=0 ; find (f/g)(x)	If $f (x) = 20 x^{6}$ and $g (x) = 2 x$ , $x \neq 0$ ; find $(\frac{f}{g}) (x)$
6972	Simplify	((6m^2-60m)/(m^2-2m-80))÷((m-7)/(8m-56))	$\frac{6 m^{2} - 60 m}{m^{2} - 2 m - 80} \div \frac{m - 7}{8 m - 56}$
6973	Graph	3x<=-5/4	$3 x \leq - \frac{5}{4}$
6974	Simplify	(12b^-3)/(a^-4)	$\frac{12 b^{- 3}}{a^{- 4}}$
6975	Simplify	-1/2a+2/5+5/6a-1/10	$- \frac{1}{2} a + \frac{2}{5} + \frac{5}{6} a - \frac{1}{10}$
6976	Solve the Inequality for x	8(4x-3)-16x<=4(2+4x)-23	$8 (4 x - 3) - 16 x \leq 4 (2 + 4 x) - 23$
6977	Solve for y	6=(-5+y)/-7	$6 = \frac{- 5 + y}{- 7}$
6978	Simplify	cube root of 5^5* cube root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt[3]{5}$
6979	Evaluate	4^4(4^-7)(4)	$4^{4} (4^{- 7}) (4)$
6980	Simplify	(u^4*u^-2)^(5/2)	${(u^{4} \cdot u^{- 2})}^{\frac{5}{2}}$
6981	Solve the Function Operation	given f(x)=3x-2 ; find f(-6)	given $f (x) = 3 x - 2$ ; find $f (- 6)$
6982	Solve for b	a=(bc)/d	$a = \frac{b c}{d}$
6983	Evaluate the Integral	integral from 0 to 4 of 1/( square root of x(1+ square root of x)) with respect to x	$\int_{0}^{4} \frac{1}{\sqrt{x} (1 + \sqrt{x})} d x$
6984	Find the Antiderivative	f(x)=1/(x square root of x)	$f (x) = \frac{1}{x \sqrt{x}}$
6985	Simplify	( square root of 5x+7)( square root of 5x-7)	$(\sqrt{5} x + 7) (\sqrt{5} x - 7)$
6986	Simplify	( cube root of x^4* square root of x^5)^-2	${(\sqrt[3]{x^{4}} \cdot \sqrt{x^{5}})}^{- 2}$
6987	Solve for x	x/2-1/(3x)=1/6	$\frac{x}{2} - \frac{1}{3 x} = \frac{1}{6}$
6988	Evaluate the Function	f(x)=3(2)^x , x=-1	$f (x) = 3 {(2)}^{x}$ , $x = - 1$
6989	Evaluate the Integral	integral of (12x^2)/(2x+1) with respect to x	$\int \frac{12 x^{2}}{2 x + 1} d x$
6990	Simplify	((x^4)/x)^(5/3)	${(\frac{x^{4}}{x})}^{\frac{5}{3}}$
6991	Solve for A	A^2+6^2=9^2	$A^{2} + 6^{2} = 9^{2}$
6992	Graph	f(x) = log base 1/2 of x+3	$f (x) = \log_{\frac{1}{2}} (x) + 3$
6993	Find the Cotangent Given the Point	((2 square root of 30)/11,1/11)	$(\frac{2 \sqrt{30}}{11}, \frac{1}{11})$
6994	Simplify the Radical Expression	fifth root of 27/64	$\sqrt[5]{\frac{27}{64}}$
6995	Solve for x	(x+3)(x+1)=4x+7	$(x + 3) (x + 1) = 4 x + 7$
6996	Determine if a Polynomial	y^5-10x^2y^4	$y^{5} - 10 x^{2} y^{4}$
6997	Solve the Inequality for X	X-3<5	$X - 3 < 5$
6998	Multiply	2x^3y^-3*2x^-1y^3	$2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$
6999	Solve for x	z=(x-mu)/(sigma/( square root of n))	$z = \frac{x - μ}{\frac{σ}{\sqrt{n}}}$
7000	Evaluate the Limit	limit as x approaches infinity of (x^2-3)/(2x^2+x+4)	$lim_{x \to \infty} \frac{x^{2} - 3}{2 x^{2} + x + 4}$