Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17401	Solve for x	(2x(x^2-3))/((x^2+1)^3)=0	$\frac{2 x (x^{2} - 3)}{{(x^{2} + 1)}^{3}} = 0$
17402	Solve for x	8+x/5>18	$8 + \frac{x}{5} > 18$
17403	Solve for x	5-(-x)=20	$5 - (- x) = 20$
17404	Graph	f(x)=2,x<-3; x(x+4)+4,-3<=x<0; 2x,x>=0	$f (x) = {\begin{cases} 2, x < - 3 \\ x (x + 4) + 4, - 3 \leq x < 0 \\ 2 x, x \geq 0 \end{cases}$
17405	Find the Perfect Square Trinomial	(x-4)(2x-5)	$(x - 4) (2 x - 5)$
17406	Find the Derivative - d/dt	(2t^(9/2))/3	$\frac{2 t^{\frac{9}{2}}}{3}$
17407	Simplify	( cube root of 3)÷( cube root of 5)	$\sqrt[3]{3} \div \sqrt[3]{5}$
17408	Find the Exact Value	sec(60 degrees )tan(45 degrees )	$\sec (60 °) \tan (45 °)$
17409	Divide	(3x^3y+5x^2y^2-2xy)/(xy)	$\frac{3 x^{3} y + 5 x^{2} y^{2} - 2 x y}{x y}$
17410	Simplify	((8x^9y^-7)^0)/(24x^-3y^5)	$\frac{{(8 x^{9} y^{- 7})}^{0}}{24 x^{- 3} y^{5}}$
17411	Solve for x	2x+4(3-2x)=3(2x+2)/6+4	$2 x + 4 (3 - 2 x) = 3 \frac{2 x + 2}{6} + 4$
17412	Solve for x	3^x=4^y	$3^{x} = 4^{y}$
17413	Write the Fraction in Simplest Form	((4s^5t^-7)/(-2s^-2t^4))^3	${(\frac{4 s^{5} t^{- 7}}{- 2 s^{- 2} t^{4}})}^{3}$
17414	Simplify	i^7*i^5	$i^{7} \cdot i^{5}$
17415	Factor	y=x^3+3x^2-4x-12	$y = x^{3} + 3 x^{2} - 4 x - 12$
17416	Graph	y>=3x-4 and y<=-5x+2	$y \geq 3 x - 4$ and $y \leq - 5 x + 2$
17417	Determine if a Polynomial	(p^5q^4)/9+q	$\frac{p^{5} q^{4}}{9} + q$
17418	Describe the Transformation	f(x)=-1/x+2	$f (x) = \frac{- 1}{x} + 2$
17419	Graph	f(x)=2 if x<=-3; -1 if -3=3	$f (x) = {\begin{cases} 2 & x \leq - 3 \\ - 1 & - 3 = 3 \end{cases}$
17420	Simplify	2x^4(-3xy)^3	$2 x^{4} {(- 3 x y)}^{3}$
17421	Find dy/dx	-y^2+x^2=-2+xy	$- y^{2} + x^{2} = - 2 + x y$
17422	Convert to Radical Form	(4r^2s^3t^4)2/5	$(4 r^{2} s^{3} t^{4}) \frac{2}{5}$
17423	Evaluate	cos(theta)-cos(theta)sin(theta)^2	$\cos (θ) - \cos (θ) \sin^{2} (θ)$
17424	Solve the Function Operation	f(x)=-(x-2)^2-3 if x<3; -2 if x=3; 5x-21 if x>3 Find f(1)	$f (x) = {\begin{cases} - {(x - 2)}^{2} - 3 & x < 3 \\ - 2 & x = 3 \\ 5 x - 21 & x > 3 \end{cases}$ Find $f (1)$
17425	Simplify	3/(y-5)-(5y-16)/(y^2-7y+10)	$\frac{3}{y - 5} - \frac{5 y - 16}{y^{2} - 7 y + 10}$
17426	Simplify the Radical Expression	cube root of 16/27	$\sqrt[3]{\frac{16}{27}}$
17427	Solve the Inequality for x	-x^2+12x-10<7x-6	$- x^{2} + 12 x - 10 < 7 x - 6$
17428	Find the Derivative of the Integral	F(x) = integral from 3 to x of (tan(5t)sec(5t)-1) with respect to t	$F (x) = \int_{3}^{x} (\tan (5 t) \sec (5 t) - 1) d t$
17429	Find the Concavity	f(x)=1/5x^5+x^4	$f (x) = \frac{1}{5} x^{5} + x^{4}$
17430	Simplify	- square root of 5^4	$- \sqrt{5^{4}}$
17431	Simplify	(-2/(x^2-x-2)*(x-2)/4)÷((6-x)/(x^2-5x-6))	$\frac{- 2}{x^{2} - x - 2} \cdot \frac{x - 2}{4} \div \frac{6 - x}{x^{2} - 5 x - 6}$
17432	Simplify the Radical Expression	4 square root of 310 square root of 12 square root of 6* square root of 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
17433	Simplify the Radical Expression	5 cube root of 3a+5 cube root of 3a-9 cube root of 3a	$5 \sqrt[3]{3 a} + 5 \sqrt[3]{3 a} - 9 \sqrt[3]{3 a}$
17434	Write the Fraction in Simplest Form	(6h^10u^4)/((-2h^-4u^3)^3)	$\frac{6 h^{10} u^{4}}{{(- 2 h^{- 4} u^{3})}^{3}}$
17435	Factor	x^4-9x^2-4x+12	$x^{4} - 9 x^{2} - 4 x + 12$
17436	Simplify	(x(x+2))/(x^4(x+2))	$\frac{x (x + 2)}{x^{4} (x + 2)}$
17437	Evaluate	78-(2^4)÷(14-6)*2	$78 - 2^{4} \div (14 - 6) \times 2$
17438	Solve for c	(c+4)(c+5)=0	$(c + 4) (c + 5) = 0$
17439	Simplify	(5v^3+3v^2)+(v^3+5v^2)	$(5 v^{3} + 3 v^{2}) + (v^{3} + 5 v^{2})$
17440	Solve for k	natural log of -2x+5+ natural log of x+4=k	$\ln (- 2 x + 5) + \ln (x + 4) = k$
17441	Solve for k	8^k=78	$8^{k} = 78$
17442	Simplify	(4uv)(-u)(2u^4v)	$(4 u v) (- u) (2 u^{4} v)$
17443	Simplify	square root of 12* square root of 6* square root of x^3* square root of x^7	$\sqrt{12} \cdot \sqrt{6} \cdot \sqrt{x^{3}} \cdot \sqrt{x^{7}}$
17444	Simplify the Radical Expression	( square root of 7)/( square root of 10- square root of 2)	$\frac{\sqrt{7}}{\sqrt{10} - \sqrt{2}}$
17445	Solve the Inequality for X	-6<=X<=-3	$- 6 \leq X \leq - 3$
17446	Find the Holes in the Graph	(x^2-9x+20)/(4x^2-12x-40)	$\frac{x^{2} - 9 x + 20}{4 x^{2} - 12 x - 40}$
17447	Solve the Function Operation	x+y+z=310 45 , 0x+40 , 0y+80 , 0z=16 , 0 , 0x-2y=0	$x + y + z = 310$ $45$ , $0 x + 40$ , $0 y + 80$ , $0 z = 16$ , $0$ , $0 x - 2 y = 0$
17448	Solve the Inequality for x	2-(4x-5)>3(x+4)-5	$2 - (4 x - 5) > 3 (x + 4) - 5$
17449	Simplify	(3a^-2)^3*3a^5	${(3 a^{- 2})}^{3} \cdot 3 a^{5}$
17450	Solve for x	3 = cube root of 2x+16-12	$3 = \sqrt[3]{2 x + 16} - 12$
17451	Simplify	9/(4x)*(x^2)/2	$\frac{9}{4 x} \cdot \frac{x^{2}}{2}$
17452	Solve for p	fourth root of 2p+2=3	$\sqrt[4]{2 p + 2} = 3$
17453	Solve the Function Operation	Given g(x)=-3x+1 ; find g(2)	Given $g (x) = - 3 x + 1$ ; find $g (2)$
17454	Solve the Function Operation	f(x)=x^2+3x-5 g(x)=5x+2 Find: (gof)(x)	$f (x) = x^{2} + 3 x - 5$ $g (x) = 5 x + 2$ Find: $((g \circ f)) (x)$
17455	Convert to Radical Form	3^(1/3)*9^(1/3)	$3^{\frac{1}{3}} \cdot 9^{\frac{1}{3}}$
17456	Find the x and y Intercepts	f(x)=(2-x)(x+2)(x+4)	$f (x) = (2 - x) (x + 2) (x + 4)$
17457	Solve for x	15-5(365x)=1840	$15 - 5 (365 x) = 1840$
17458	Divide	((25x^2-4)/(x^2-9))÷((5x-2)/(x+3))	$\frac{25 x^{2} - 4}{x^{2} - 9} \div \frac{5 x - 2}{x + 3}$
17459	Find the Derivative - d/dx	(3/(x^2+z^2))	$(\frac{3}{(x^{2} + z^{2})})$
17460	Simplify	2 fourth root of 16* fourth root of 4	$2 \sqrt[4]{16} \cdot \sqrt[4]{4}$
17461	Add	(2x)/3+1/2	$\frac{2 x}{3} + \frac{1}{2}$
17462	Find All Complex Solutions	x-2 = square root of x-2	$x - 2 = \sqrt{x - 2}$
17463	Simplify the Radical Expression	( fourth root of 32)/( fourth root of 2)	$\frac{\sqrt[4]{32}}{\sqrt[4]{2}}$
17464	Graph	y<=3 x+y>=1	$y \leq 3$ $x + y \geq 1$
17465	Subtract	(3u+3)-(3u+3)	$(3 u + 3) - (3 u + 3)$
17466	Evaluate	9^x>54	$9^{x} > 54$
17467	Solve for Vₒ	a=(V_f-V_o)/t	$a = \frac{V_{f} - V_{o}}{t}$
17468	Rationalize the Denominator	-1/(-2- square root of 7)	$\frac{- 1}{- 2 - \sqrt{7}}$
17469	Convert to Interval Notation	4v>=9v-40	$4 v \geq 9 v - 40$
17470	Find Where Increasing/Decreasing	f(x)=(x^2-3)e^(-x)	$f (x) = (x^{2} - 3) e^{- x}$
17471	Solve the Rational Equation for x	square root of x-3+ square root of x=3	$\sqrt{x - 3} + \sqrt{x} = 3$
17472	Simplify	((4x)/(x+6))/((x^2-3x)/(x^2+3x-18))	$\frac{\frac{4 x}{x + 6}}{\frac{x^{2} - 3 x}{x^{2} + 3 x - 18}}$
17473	Find dy/dx	y=sec(x)+tan(x)	$y = \sec (x) + \tan (x)$
17474	Graph	x<=-3 or x>4	$x \leq - 3$ or $x > 4$
17475	Convert from Degrees to Radians	-135deg	$- 135$ degrees
17476	Simplify	(-1/3)^5*(-1/3)^7	${(- \frac{1}{3})}^{5} \cdot {(- \frac{1}{3})}^{7}$
17477	Graph	x^2+(y-3 square root of 2*x)^2=1	$x^{2} + {(y - 3 \sqrt{2} \cdot x)}^{2} = 1$
17478	Simplify	-7x^5+8x-4x^3+2x^4	$- 7 x^{5} + 8 x - 4 x^{3} + 2 x^{4}$
17479	Simplify	(-7^4)^-3	${(- 7^{4})}^{- 3}$
17480	Simplify	(8x^2)-(-x^2+2x-3)	$(8 x^{2}) - (- x^{2} + 2 x - 3)$
17481	Solve Using the Quadratic Formula	4(x^2-x)=x^2-3	$4 (x^{2} - x) = x^{2} - 3$
17482	Simplify	1/(x^2-xy)-(y^2)/(x^2-y^2)*(x+y)/(y^3)	$\frac{1}{x^{2} - x y} - \frac{y^{2}}{x^{2} - y^{2}} \cdot \frac{(x + y)}{y^{3}}$
17483	Evaluate	((-1/2)^3)÷((1/4)^2)	${(- \frac{1}{2})}^{3} \div {(\frac{1}{4})}^{2}$
17484	Solve for x	4x = square root of 6-4x	$4 x = \sqrt{6 - 4 x}$
17485	Simplify the Radical Expression	fourth root of 2/(5x)	$\sqrt[4]{\frac{2}{5 x}}$
17486	Divide Using Synthetic Division	(6x^5-2x^3+4x^2-3x+1)/(x-2)	$\frac{6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1}{x - 2}$
17487	Solve the Function Operation	Given that f(x)=x^2-6x-27 and g(x)=x-9 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 6 x - 27$ and $g (x) = x - 9$ ; find $f (x) - g (x)$ and express the result in standard form.
17488	Divide	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$
17489	Find the Exact Value	((5pi)/6)	$(\frac{5 π}{6})$
17490	Simplify	(5^2)/5	$\frac{5^{2}}{5}$
17491	Simplify	3+4xy+37+9y	$3 + 4 x y + 37 + 9 y$
17492	Simplify	(1/4a^8b^4)^2	${(\frac{1}{4} a^{8} b^{4})}^{2}$
17493	Evaluate	cos(theta)^2+sin(theta)^2=1	$\cos^{2} (θ) + \sin^{2} (θ) = 1$
17494	Find the Roots (Zeros)	x^3=0	$x^{3} = 0$
17495	Simplify the Radical Expression	8 square root of 3x* square root of 15x	$8 \sqrt{3 x} \cdot \sqrt{15 x}$
17496	Add	3.2x^3+4.8x+3.7 2.1x^3+6.3x-2.9	$3.2 x^{3} + 4.8 x + 3.7$ $2.1 x^{3} + 6.3 x - 2.9$
17497	Evaluate	36 11/24+7/24	$36 \frac{11}{24} + \frac{7}{24}$
17498	Find the Product	(2x-y)(2x+y)	$(2 x - y) (2 x + y)$
17499	Find dy/dx	y=5x(x^2+6)	$y = 5 x (x^{2} + 6)$
17500	Simplify	(2x+1)(2x-3)(3x-5)(x+1)	$(2 x + 1) (2 x - 3) (3 x - 5) (x + 1)$