Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231501	Solve for θ	-1+3sin(theta)=-1+4sin(theta)	$- 1 + 3 \sin (θ) = - 1 + 4 \sin (θ)$
231502	Simplify	x(x+1)-x^2-x+6	$x (x + 1) - x^{2} - x + 6$
231503	Find the LCD	6/(3x+5) and 5/(4x)	$\frac{6}{3 x + 5}$ and $\frac{5}{4 x}$
231504	Simplify	(t^4-4t^2+9)+(-t^3+3t)	$(t^{4} - 4 t^{2} + 9) + (- t^{3} + 3 t)$
231505	Evaluate	2(x+5)=2x+5	$2 (x + 5) = 2 x + 5$
231506	Divide	(x^4+7x^3+17x^2+20x)÷(x^2+4)	$(x^{4} + 7 x^{3} + 17 x^{2} + 20 x) \div (x^{2} + 4)$
231507	Simplify	square root of 2x-12+6	$\sqrt{2 x - 12} + 6$
231508	Simplify	(-1+ square root of 3)/(1+ square root of 3)	$\frac{- 1 + \sqrt{3}}{1 + \sqrt{3}}$
231509	Rationalize the Denominator	((6+ square root of 3)(6- square root of 3))/( square root of 33)	$\frac{(6 + \sqrt{3}) (6 - \sqrt{3})}{\sqrt{33}}$
231510	Simplify	6a^3+2a^2-8a-9-8a^3-a^2-6a+1	$6 a^{3} + 2 a^{2} - 8 a - 9 - 8 a^{3} - a^{2} - 6 a + 1$
231511	Simplify	square root of 5* square root of 5* square root of 2* square root of 2	$\sqrt{5} \cdot \sqrt{5} \cdot \sqrt{2} \cdot \sqrt{2}$
231512	Evaluate	(104)/(10^-14^2)	$\frac{10 \cdot 4}{10^{- 1} \cdot 4^{2}}$
231513	Divide	(125x^8y^6)/(125xy^5)	$\frac{125 x^{8} y^{6}}{125 x y^{5}}$
231514	Solve the Inequality for x	-1/3x-9>1.5-4/5x	$- \frac{1}{3} x - 9 > 1.5 - \frac{4}{5} x$
231515	Solve the Absolute Value Inequality for y	\|y-9\|=6	$\| y - 9 \| = 6$
231516	Evaluate	(x^(3/2))^2	${(x^{\frac{3}{2}})}^{2}$
231517	Solve for m	m+7+(m^2-6m-16)/m=(8m-16)/m	$m + 7 + \frac{m^{2} - 6 m - 16}{m} = \frac{8 m - 16}{m}$
231518	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3-17x^2-13x-2 is divided by 4x+1	Use the long division method to find the result when $12 x^{3} - 17 x^{2} - 13 x - 2$ is divided by $4 x + 1$
231519	Graph	f(x)=(-4x+12)/(x^2-3x)	$f (x) = \frac{- 4 x + 12}{x^{2} - 3 x}$
231520	Simplify	(4xy^2z)(-3x^3yz^2)	$(4 x y^{2} z) (- 3 x^{3} y z^{2})$
231521	Solve for w	18-2w=4w	$18 - 2 w = 4 w$
231522	Find the Exact Value	cos(240/2)	$\cos (\frac{240}{2})$
231523	Solve for y	d^2y=0	$d^{2} y = 0$
231524	Find the Exact Value	sin(150)^2	$\sin^{2} (150)$
231525	Simplify	2y+8(y+1)+5(x+5)	$2 y + 8 (y + 1) + 5 (x + 5)$
231526	Graph	F(x)=x^3+2x^2+x	$F (x) = x^{3} + 2 x^{2} + x$
231527	Find All Complex Solutions	-4(x+1)+6x=2(x+2)-8	$- 4 (x + 1) + 6 x = 2 (x + 2) - 8$
231528	Simplify	9p^12q^7-2p^5q^6*4p^7q	$9 p^{12} q^{7} - 2 p^{5} q^{6} \cdot 4 p^{7} q$
231529	Find the x and y Intercepts	(x^2+2x)/(-4x+8)	$\frac{x^{2} + 2 x}{- 4 x + 8}$
231530	Solve for n	-16/9=-4/3(5/3+n)	$- \frac{16}{9} = - \frac{4}{3} (\frac{5}{3} + n)$
231531	Simplify	((x-5)/6)(18/(x^2-10x+25))	$(\frac{x - 5}{6}) (\frac{18}{x^{2} - 10 x + 25})$
231532	Simplify	(-ab)^-1	${(- a b)}^{- 1}$
231533	Solve for x	-1/((x-1)^2)=0	$- \frac{1}{{(x - 1)}^{2}} = 0$
231534	Graph	x^2=e^(x-y)	$x^{2} = e^{x - y}$
231535	Find the Degree	10b^2+(b^3)/6+b^5	$10 b^{2} + \frac{b^{3}}{6} + b^{5}$
231536	Subtract	-10x^2-x+6 and 10x^2-5	$- 10 x^{2} - x + 6$ and $10 x^{2} - 5$
231537	Solve for y	3y^4-6y^3=-3y^2	$3 y^{4} - 6 y^{3} = - 3 y^{2}$
231538	Simplify	(7x^2-4x-3)-(9x^3+4x^2-9x+1)	$(7 x^{2} - 4 x - 3) - (9 x^{3} + 4 x^{2} - 9 x + 1)$
231539	Convert to Radical Form	9^(3/2)s^(6/3)t^(1/2)	$9^{\frac{3}{2}} s^{\frac{6}{3}} t^{\frac{1}{2}}$
231540	Solve the System of Inequalities	8x<24 and -8<=2x-4	$8 x < 24$ and $- 8 \leq 2 x - 4$
231541	Find the Parabola with Focus (7,-6) and Directrix x=5	(7,-6) x=5	$(7, - 6)$ $x = 5$
231542	Find the Product	(4a^3)(-3a^2)(5a^3)	$(4 a^{3}) (- 3 a^{2}) (5 a^{3})$
231543	Simplify	(x-2)/(-(2-x))	$\frac{x - 2}{- (2 - x)}$
231544	Simplify	12 cube root of 2z^5-z cube root of 54z^3	$12 \sqrt[3]{2 z^{5}} - z \sqrt[3]{54 z^{3}}$
231545	Evaluate the Function	f(x)=x^3+2x^2-5x+12 , x=-3	$f (x) = x^{3} + 2 x^{2} - 5 x + 12$ , $x = - 3$
231546	Solve for x	1/x=1/2+1/3	$\frac{1}{x} = \frac{1}{2} + \frac{1}{3}$
231547	Simplify	(5/3x+4)(1/3x+1)	$(\frac{5}{3} x + 4) (\frac{1}{3} x + 1)$
231548	Find the GCF	260 and 348	$260$ and $348$
231549	Simplify	18x+3xy+5y-2(6xy-2y+4)	$18 x + 3 x y + 5 y - 2 (6 x y - 2 y + 4)$
231550	Convert to Radical Form	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
231551	Simplify the Radical Expression	1/( square root of x^9)	$\frac{1}{\sqrt{x^{9}}}$
231552	Simplify the Radical Expression	square root of 6*7 square root of 18	$\sqrt{6} \cdot 7 \sqrt{18}$
231553	Simplify	(5y)/(y^2-7y)-4/(2y-14)+9/y	$\frac{5 y}{y^{2} - 7 y} - \frac{4}{2 y - 14} + \frac{9}{y}$
231554	Solve the Rational Equation for x	(x+2)^(4/3)=1/81	${(x + 2)}^{\frac{4}{3}} = \frac{1}{81}$
231555	Evaluate	(-2/7)(14/-9)	$(- \frac{2}{7}) (\frac{14}{- 9})$
231556	Graph	y=\|x-a\|	$y = \| x - a \|$
231557	Solve the Inequality for n	9n-24n+45>0	$9 n - 24 n + 45 > 0$
231558	Find All Complex Solutions	(4x+1)/(x-2)+2/x=-4/(x^2-2x)	$\frac{4 x + 1}{x - 2} + \frac{2}{x} = \frac{- 4}{x^{2} - 2 x}$
231559	Evaluate	((5x^-4y^3)/(2x^2y^0))^2*((4xy)/(y^3))^2	${(\frac{5 x^{- 4} y^{3}}{2 x^{2} y^{0}})}^{2} \cdot {(\frac{4 x y}{y^{3}})}^{2}$
231560	Plot	sin(theta)>0 , tan(theta)<0	$\sin (θ) > 0$ , $\tan (θ) < 0$
231561	Simplify	limit as x approaches 6 of (x^2-3x-18)/(x^2-12x+36)	$lim_{x \to 6} \frac{x^{2} - 3 x - 18}{x^{2} - 12 x + 36}$
231562	Simplify	square root of (x^4+3)^12	$\sqrt{{(x^{4} + 3)}^{12}}$
231563	Evaluate	fourth root of 16w^10+2w fourth root of w^6	$\sqrt[4]{16 w^{10}} + 2 w \sqrt[4]{w^{6}}$
231564	Evaluate	3/4(-1)^(4/3)-3/5(-1)^(5/3)	$\frac{3}{4} {(- 1)}^{\frac{4}{3}} - \frac{3}{5} {(- 1)}^{\frac{5}{3}}$
231565	Multiply	2y-5y^23y^3	$2 y \cdot - 5 y^{2} \cdot 3 y^{3}$
231566	Graph	x<2 and x>-2	$x < 2$ and $x > - 2$
231567	Factor	12d^2e+16d^2e^2	$12 d^{2} e + 16 d^{2} e^{2}$
231568	Evaluate	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
231569	Factor	(3x+1)(x-2)-4(3x+1)	$(3 x + 1) (x - 2) - 4 (3 x + 1)$
231570	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-10x^2+19x+20 is divided by x-4	Use synthetic division to find the result when $x^{3} - 10 x^{2} + 19 x + 20$ is divided by $x - 4$
231571	Divide	( square root of 2)÷(2+ square root of 3)	$\sqrt{2} \div (2 + \sqrt{3})$
231572	Find the Product	4d(d^3-d^2)	$4 d (d^{3} - d^{2})$
231573	Solve for x	square root of -x+2+ square root of -3x+4=-2	$\sqrt{- x + 2} + \sqrt{- 3 x + 4} = - 2$
231574	Solve for p	-4+6p+18+3p=9(p+1)+5	$- 4 + 6 p + 18 + 3 p = 9 (p + 1) + 5$
231575	Evaluate	Find the value of cube root of 343	Find the value of $\sqrt[3]{343}$
231576	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+21x^2-5x-10 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 21 x^{2} - 5 x - 10$ is divided by $3 x + 2$
231577	Solve the Inequality for x	5x^2-25x<x-5	$5 x^{2} - 25 x < x - 5$
231578	Evaluate	7(y+3)=5y+8	$7 (y + 3) = 5 y + 8$
231579	Find the Exact Value	(-7)^(5/3)*(1/56)^(5/3)	${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$
231580	Simplify	3+2x+4+5x-7	$3 + 2 x + 4 + 5 x - 7$
231581	Divide	2÷(8/3)	$2 \div \frac{8}{3}$
231582	Solve for t	(sec(t)-cos(t))/(sec(t))=(f(t))^2	$\frac{\sec (t) - \cos (t)}{\sec (t)} = {(f (t))}^{2}$
231583	Evaluate	(-1/6)+(-1/2)	$(- \frac{1}{6}) + (- \frac{1}{2})$
231584	Simplify	((x/2)^-2)/((y/4)^-2)	$\frac{{(\frac{x}{2})}^{- 2}}{{(\frac{y}{4})}^{- 2}}$
231585	Simplify	2m^2*5n^6	$2 m^{2} \cdot 5 n^{6}$
231586	Solve the System of Equations	2^(x+y)=16 2^(2x+y)=1/8	$2^{x + y} = 16$ $2^{2 x + y} = \frac{1}{8}$
231587	Find the x and y Intercepts	f(x)=(1/2)^(-x)-5	$f (x) = {(\frac{1}{2})}^{- x} - 5$
231588	Simplify	(ab^2-5)(a^2b^4+5ab^2+25)	$(a b^{2} - 5) (a^{2} b^{4} + 5 a b^{2} + 25)$
231589	Simplify	(-7/2)÷((3x)/(x-9))	$- \frac{7}{2} \div \frac{3 x}{x - 9}$
231590	Find the Product	(2x+y-4z)^2	${(2 x + y - 4 z)}^{2}$
231591	Simplify	(2x^2-4y+7xy-6y^2)-(-3x^2+5y-4xy+y^2)	$(2 x^{2} - 4 y + 7 x y - 6 y^{2}) - (- 3 x^{2} + 5 y - 4 x y + y^{2})$
231592	Evaluate	4i(-2-8i)	$4 i (- 2 - 8 i)$
231593	Simplify	(u^3+v^3)/(u^3-v^3)*(u^2-v^2)/(u^2+2uv+v^2)	$\frac{u^{3} + v^{3}}{u^{3} - v^{3}} \cdot \frac{u^{2} - v^{2}}{u^{2} + 2 u v + v^{2}}$
231594	Simplify	(x^3+2x^2)(3x^2-1)	$(x^{3} + 2 x^{2}) (3 x^{2} - 1)$
231595	Graph	p(x)=-a(x+b)(x-c)^2	$p (x) = - a (x + b) {(x - c)}^{2}$
231596	Evaluate	\|11(-6)-4*-3\|-8	$\| 11 (- 6) - 4 \cdot - 3 \| - 8$
231597	Solve for x	cube root of (3x+8)^2=1	$\sqrt[3]{{(3 x + 8)}^{2}} = 1$
231598	Simplify	(((x^2y)^4)^(1/2))/(((x^2y)^(1/2))^4)	$\frac{{({(x^{2} y)}^{4})}^{\frac{1}{2}}}{{({(x^{2} y)}^{\frac{1}{2}})}^{4}}$
231599	Solve for x	3-1/2x=3/2x+4-x	$3 - \frac{1}{2} x = \frac{3}{2} x + 4 - x$
231600	Solve for x	square root of 3x-1=2 square root of 5	$\sqrt{3 x - 1} = 2 \sqrt{5}$