Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24901	Write as a Single Logarithm	4 log of 2-2 log of 3- log of 4	$4 \log (2) - 2 \log (3) - \log (4)$
24902	Find the Asymptotes	y=(x^2)/((x+6)(x-4))	$y = \frac{x^{2}}{(x + 6) (x - 4)}$
24903	Evaluate the Integral	integral of (4x^4+3)/(4x^5+15x+2) with respect to x	$\int \frac{4 x^{4} + 3}{4 x^{5} + 15 x + 2} d x$
24904	Solve the System of Inequalities	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
24905	Simplify	(x^2+x)^2+x	${(x^{2} + x)}^{2} + x$
24906	Find the Exact Value	log base 4 of 20- log base 4 of 45+ log base 4 of 144	$\log_{4} (20) - \log_{4} (45) + \log_{4} (144)$
24907	Find dy/dx	-y-4x^2=3y^3	$- y - 4 x^{2} = 3 y^{3}$
24908	Find All Complex Solutions	x/5=1/(x+4)	$\frac{x}{5} = \frac{1}{x + 4}$
24909	Simplify	5/(x^3)-1/(4x^2)	$\frac{5}{x^{3}} - \frac{1}{4 x^{2}}$
24910	Simplify	(-15x^-2y^4)/(25x^2y)	$\frac{- 15 x^{- 2} y^{4}}{25 x^{2} y}$
24911	Solve for G	2/3(F+G)=D	$\frac{2}{3} (F + G) = D$
24912	Multiply	7x^4(2x^6+4x^3-3x^2-5x)	$7 x^{4} (2 x^{6} + 4 x^{3} - 3 x^{2} - 5 x)$
24913	Evaluate Using the Given Value	Evaluate 4-0.25g+0.5h when g=10 and h=5	Evaluate $4 - 0.25 g + 0.5 h$ when $g = 10$ and $h = 5$
24914	Solve the Inequality for x	-2x>=10x-9(x-1/3)-7	$- 2 x \geq 10 x - 9 (x - \frac{1}{3}) - 7$
24915	Find the Derivative - d/dx	-2e^(3x)sin(2x)+3e^(3x)cos(2x)	$- 2 e^{3 x} \sin (2 x) + 3 e^{3 x} \cos (2 x)$
24916	Determine if a Polynomial	3h^4+ fifth root of h+1	$3 h^{4} + \sqrt[5]{h} + 1$
24917	Subtract	3/4--1/2	$\frac{3}{4} - \frac{- 1}{2}$
24918	Find the Symmetry	y=x^3+x^2-100x-100	$y = x^{3} + x^{2} - 100 x - 100$
24919	Subtract	-3/4-1/2	$\frac{- 3}{4} - \frac{1}{2}$
24920	Find the Product	(x+2y)(x^2-xy+3y)	$(x + 2 y) (x^{2} - x y + 3 y)$
24921	Graph	y=x^2 and y=x^2-5	$y = x^{2}$ and $y = x^{2} - 5$
24922	Rationalize the Denominator	3/(-1- square root of 10)	$\frac{3}{- 1 - \sqrt{10}}$
24923	Simplify	(24x^4y^-2)/((2xy)^2)	$\frac{24 x^{4} y^{- 2}}{{(2 x y)}^{2}}$
24924	Solve for x	xk=w/v	$x k = \frac{w}{v}$
24925	Solve for x	x+7-7/6=(2x+7)/30	$x + 7 - \frac{7}{6} = \frac{2 x + 7}{30}$
24926	Evaluate	4/( square root of 9-4^2)	$\frac{4}{\sqrt{9 - 4^{2}}}$
24927	Simplify	(4^(2x+1)*2^(1-x))/(8^(x+2))	$\frac{4^{2 x + 1} \cdot 2^{1 - x}}{8^{x + 2}}$
24928	Evaluate the Limit	limit as x approaches 1 of (x^3-x^2+x-1)/(x^2-1)	$lim_{x \to 1} \frac{x^{3} - x^{2} + x - 1}{x^{2} - 1}$
24929	Evaluate	fourth root of 81y^8x^4	$\sqrt[4]{81 y^{8} x^{4}}$
24930	Factor	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
24931	Divide	((5k^2-4k-1)/(5k^2+16k+11))÷((25k^2-1)/(5k^2+6k-11))	$\frac{5 k^{2} - 4 k - 1}{5 k^{2} + 16 k + 11} \div \frac{25 k^{2} - 1}{5 k^{2} + 6 k - 11}$
24932	Divide	(-37/6)÷6	$- \frac{37}{6} \div 6$
24933	Solve for j	7j+1=4(-2j-5)+12j	$7 j + 1 = 4 (- 2 j - 5) + 12 j$
24934	Solve for n	8/(n+4)=4/n	$\frac{8}{n + 4} = \frac{4}{n}$
24935	Expand the Trigonometric Expression	(cos(5t)+cos(3t))/(sin(5t)+sin(3t))	$\frac{\cos (5 t) + \cos (3 t)}{\sin (5 t) + \sin (3 t)}$
24936	Find the Vertex	y=2\|-x-3\|+5	$y = 2 \| - x - 3 \| + 5$
24937	Graph	x+y=5 y=4x	$x + y = 5$ $y = 4 x$
24938	Simplify	fourth root of d*d^24	$\sqrt[4]{d} \cdot d^{24}$
24939	Find f(g(x))	f(x)=x-1 g(x)=5x-2	$f (x) = x - 1$ $g (x) = 5 x - 2$
24940	Find the Domain	( square root of x)^4-9	${(\sqrt{x})}^{4} - 9$
24941	Divide	(9/4)÷(-3/4)	$\frac{9}{4} \div \frac{- 3}{4}$
24942	Solve for p	6+ square root of 4-10p=14	$6 + \sqrt{4 - 10 p} = 14$
24943	Simplify	cube root of x/3	$\sqrt[3]{\frac{x}{3}}$
24944	Evaluate the Integral	integral from 1 to infinity of 4xe^(-x^2) with respect to x	$\int_{1}^{\infty} 4 x e^{- x^{2}} d x$
24945	Evaluate the Limit	limit as x approaches 2 of ((f(x))^2+f(x)-12)/(f(x)+4)	$lim_{x \to 2} \frac{{(f (x))}^{2} + f (x) - 12}{f (x) + 4}$
24946	Find dy/dx	x^4+4y=8xy	$x^{4} + 4 y = 8 x y$
24947	Simplify	(2b)/(2b+3)+5/(3-2b)-(4b^2+9)/(4b^2-9)	$\frac{2 b}{2 b + 3} + \frac{5}{3 - 2 b} - \frac{(4 b^{2} + 9)}{4 b^{2} - 9}$
24948	Graph	1-y^2	$1 - y^{2}$
24949	Solve the System of Inequalities	y<=5/6x-3 y>-1/6x+3	$y \leq \frac{5}{6} x - 3$ $y > - \frac{1}{6} x + 3$
24950	Add	(6-8x^5+3x^7-7x^6)+(-9x^6-2x^5-8+4x^7)	$(6 - 8 x^{5} + 3 x^{7} - 7 x^{6}) + (- 9 x^{6} - 2 x^{5} - 8 + 4 x^{7})$
24951	Graph	y=50 , 0-400x	$y = 50$ , $0 - 400 x$
24952	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+4x^2+13x+6 is divided by 2x+1	Use the long division method to find the result when $4 x^{3} + 4 x^{2} + 13 x + 6$ is divided by $2 x + 1$
24953	Simplify	square root of 5/(4a^5)	$\sqrt{\frac{5}{4 a^{5}}}$
24954	Find the Quotient	(x^4-15x^2-2x-24)÷(x+4)	$(x^{4} - 15 x^{2} - 2 x - 24) \div (x + 4)$
24955	Evaluate Using the Given Value	x+y+y ; use x=9 ; and y=10	$x + y + y$ ; use $x = 9$ ; and $y = 10$
24956	Multiply	(x+1)(x+2)(y-3)	$(x + 1) (x + 2) (y - 3)$
24957	Write in Exponential Form	( cube root of x^2)/( square root of y^5)	$\frac{\sqrt[3]{x^{2}}}{\sqrt{y^{5}}}$
24958	Solve the Function Operation	f(x)=x-3 if x!=1; 6 if x=1 Find f(1)	$f (x) = {\begin{cases} x - 3 & x \neq 1 \\ 6 & x = 1 \end{cases}$ Find $f (1)$
24959	Evaluate	(6.4710^-15)/(3.3610^-29)	$\frac{6.47 \times 10^{- 15}}{3.36 \times 10^{- 29}}$
24960	Solve the Inequality for v	\|5v+3\|>-9	$\| 5 v + 3 \| > - 9$
24961	Solve by Addition/Elimination	4x-1/3y=8 2/3x+1/3y=11/3	$4 x - \frac{1}{3} y = 8$ $\frac{2}{3} x + \frac{1}{3} y = \frac{11}{3}$
24962	Simplify	(x-2)/(x+2)+1/(x^2-4)-(x+2)/(2-x)	$\frac{x - 2}{x + 2} + \frac{1}{x^{2} - 4} - \frac{x + 2}{2 - x}$
24963	Simplify	(2x+y)^2-(3x-2y)^2+(x-4y)(x+4y)	${(2 x + y)}^{2} - {(3 x - 2 y)}^{2} + (x - 4 y) (x + 4 y)$
24964	Rationalize the Denominator	(5-2 square root of 3)/(5 square root of 3+2)	$\frac{5 - 2 \sqrt{3}}{5 \sqrt{3} + 2}$
24965	Evaluate the Limit	limit as x approaches 0 from the right of 8/x- natural log of x	$lim_{x \to 0^{+}} \frac{8}{x} - \ln (x)$
24966	Convert to a Decimal	48deg	$48$ degrees
24967	Evaluate	(x-y)/(x+y)-(x+y)/(x-y)	$\frac{x - y}{x + y} - \frac{x + y}{x - y}$
24968	Write in Standard Form	1*10^-6	$1 \cdot 10^{- 6}$
24969	Solve the Inequality for p	-p+6p<=4+6p	$- p + 6 p \leq 4 + 6 p$
24970	Simplify	x^(-4/3)y^-1 cube root of 8x^5y^5	$x^{- \frac{4}{3}} y^{- 1} \sqrt[3]{8 x^{5} y^{5}}$
24971	Solve for s	1/4(s+6)=-3	$\frac{1}{4} (s + 6) = - 3$
24972	Factor	5p^3+5p-5p^2-5	$5 p^{3} + 5 p - 5 p^{2} - 5$
24973	Find the x and y Intercepts	y=(2x^2+5)/(x^2-2x)	$y = \frac{2 x^{2} + 5}{x^{2} - 2 x}$
24974	Evaluate	( log base a of x)÷( log base ab of x)	$\log_{a} (x) \div \log_{a b} (x)$
24975	Find the Antiderivative	sin(3x+pi/6)	$\sin (3 x + \frac{π}{6})$
24976	Evaluate the Integral	integral of 1/(x square root of 9x^2-7) with respect to x	$\int \frac{1}{x \sqrt{9 x^{2} - 7}} d x$
24977	Find the Skew	4 , 6 , 16	$4$ , $6$ , $16$
24978	Solve the System of Inequalities	y<=2x-3 y<-3/4x+8	$y \leq 2 x - 3$ $y < - \frac{3}{4} x + 8$
24979	Find All Complex Solutions	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
24980	Find the Derivative of the Integral	F(x) = integral from 2 to x of t^2-1 with respect to t	$F (x) = \int_{2}^{x} t^{2} - 1 d t$
24981	Evaluate the Limit	limit as x approaches -7 of (49-x^2)/(x^3+7x^2)	$lim_{x \to - 7} \frac{49 - x^{2}}{x^{3} + 7 x^{2}}$
24982	Evaluate	5^(3x+2)=625	$5^{3 x + 2} = 625$
24983	Solve for x in Radians	sec(x)^2-sec(x)=2	$\sec^{2} (x) - \sec (x) = 2$
24984	Graph	f(x)=7/2*(1/2)^(-(x-3))+1	$f (x) = \frac{7}{2} \cdot {(\frac{1}{2})}^{- (x - 3)} + 1$
24985	Simplify	e^(pii)	$e^{π i}$
24986	Evaluate	3cot(x)^2-1=0	$3 \cot^{2} (x) - 1 = 0$
24987	Identify the Sequence	8 , 2 , 0 , 2 , 8 , 18	$8$ , $2$ , $0$ , $2$ , $8$ , $18$
24988	Multiply	fourth root of 5x* fourth root of 2x	$\sqrt[4]{5 x} \cdot \sqrt[4]{2 x}$
24989	Find Where Increasing/Decreasing	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
24990	Simplify	(x-1)(x+1)(4x+3)(x+4)	$(x - 1) (x + 1) (4 x + 3) (x + 4)$
24991	Add	(3x^2-x)+5x^3+(-4x^3+x^2-8)	$(3 x^{2} - x) + 5 x^{3} + (- 4 x^{3} + x^{2} - 8)$
24992	Graph	-x/3.5+y/12.5=1	$- \frac{x}{3.5} + \frac{y}{12.5} = 1$
24993	Simplify	(2r^3s^8(7r^7-5r^3s^4)-(2r^10s^8-6r^6s^12))/(4r^2s^4)	$\frac{2 r^{3} s^{8} (7 r^{7} - 5 r^{3} s^{4}) - (2 r^{10} s^{8} - 6 r^{6} s^{12})}{4 r^{2} s^{4}}$
24994	Simplify	(3*3^-6)^5	${(3 \cdot 3^{- 6})}^{5}$
24995	Solve for x	5x-(5x-4)=4	$5 x - (5 x - 4) = 4$
24996	Solve for x	2^7-3x=1/4	$2^{7} - 3 x = \frac{1}{4}$
24997	Simplify	(((3mn)/2)^-1)^-4	${({(\frac{3 m n}{2})}^{- 1})}^{- 4}$
24998	Find the Exact Value	csc(arcsec(( square root of 6)/2))	$\csc (arcsec (\frac{\sqrt{6}}{2}))$
24999	Simplify	((3x^2y^-1)/(2x^-3y^5))^3	${(\frac{3 x^{2} y^{- 1}}{2 x^{- 3} y^{5}})}^{3}$
25000	Simplify	((2y^2-5y-3)/(y-4))÷(y^2+y-12)	$\frac{2 y^{2} - 5 y - 3}{y - 4} \div (y^{2} + y - 12)$