Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33001	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^2+10x^7-7x^3-x^4	$f (x) = 8 x^{2} + 10 x^{7} - 7 x^{3} - x^{4}$
33002	Solve for x	f(-x)=3x^2+4x-2	$f (- x) = 3 x^{2} + 4 x - 2$
33003	Multiply	8*3/26	$8 \times \frac{3}{26}$
33004	Solve for m	(5m-3)/63=9/21	$\frac{5 m - 3}{63} = \frac{9}{21}$
33005	Simplify	cube root of 9(2 cube root of 3+3 cube root of 3-4 cube root of 3)	$\sqrt[3]{9} (2 \sqrt[3]{3} + 3 \sqrt[3]{3} - 4 \sqrt[3]{3})$
33006	Evaluate	cos(0)-sin(0)	$\cos (0) - \sin (0)$
33007	Evaluate	(N^4)^(3/2)	${(N^{4})}^{\frac{3}{2}}$
33008	Evaluate	70% of 30	$70 %$ of $30$
33009	Integrate By Parts	integral of (e^x)/x with respect to x	$\int \frac{e^{x}}{x} d x$
33010	Determine if Continuous	f(x)=7-x^2,x<=c; x,x>c	$f (x) = {\begin{cases} 7 - x^{2}, x \leq c \\ x, x > c \end{cases}$
33011	Solve the Function Operation	(1/2)(10t)=50 , 0	$(\frac{1}{2}) (10 t) = 50$ , $0$
33012	Solve for w	4w^2+19w+18=0	$4 w^{2} + 19 w + 18 = 0$
33013	Simplify	y^2+3y^4-7y+2y^3-4	$y^{2} + 3 y^{4} - 7 y + 2 y^{3} - 4$
33014	Simplify the Radical Expression	( square root of 44a^2b)/( square root of 11b^7c^4)	$\frac{\sqrt{44 a^{2} b}}{\sqrt{11 b^{7} c^{4}}}$
33015	Multiply	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
33016	Solve for n	log base 3 of 1/9=n/3	$\log_{3} (\frac{1}{9}) = \frac{n}{3}$
33017	Factor by Grouping	x^3y^2+x^2y+x	$x^{3} y^{2} + x^{2} y + x$
33018	Evaluate the Summation	2 sum from p=1 to 4 of -p^2+3	$2 \sum_{p = 1}^{4} - p^{2} + 3$
33019	Evaluate Using L'Hospital's Rule	limit as x approaches negative infinity of (x^2)/(e^(1-x))	$lim_{x \to - \infty} \frac{x^{2}}{e^{1 - x}}$
33020	Factor	x^6-5x^4+4x^2	$x^{6} - 5 x^{4} + 4 x^{2}$
33021	Divide	(-4/3)÷12	$- \frac{4}{3} \div 12$
33022	Evaluate the Function	A(4)=2x^3+5	$A (4) = 2 x^{3} + 5$
33023	Solve for x	14*10^(0.5x)=100	$14 \cdot 10^{0.5 x} = 100$
33024	Solve the Function Operation	h(x)=-9-x , h(2k-5)	$h (x) = - 9 - x$ , $h (2 k - 5)$
33025	Simplify	square root of -1/18	$\sqrt{- \frac{1}{18}}$
33026	Evaluate the Integral	integral from -1 to 1 of (3x^2+2x+1)/(x+2) with respect to x	$\int_{- 1}^{1} \frac{3 x^{2} + 2 x + 1}{x + 2} d x$
33027	Simplify the Radical Expression	square root of 500+ square root of 20+11 square root of 5	$\sqrt{500} + \sqrt{20} + 11 \sqrt{5}$
33028	Simplify the Radical Expression	fifth root of square root of y^5	$\sqrt[5]{\sqrt{y^{5}}}$
33029	Find the Product	(32x^3y)/(5xy^2)*(15y)/(8x^2y^4)	$\frac{32 x^{3} y}{5 x y^{2}} \cdot \frac{15 y}{8 x^{2} y^{4}}$
33030	Solve for x	cube root of 6x-5- cube root of 3x+2=0	$\sqrt[3]{6 x - 5} - \sqrt[3]{3 x + 2} = 0$
33031	Simplify	r^7s^4s*r^3	$r^{7} \cdot s^{4} \cdot s \cdot r^{3}$
33032	Simplify	(8p^2-5p^4-2p^3)+(4p^3+2p^2-2p^4)	$(8 p^{2} - 5 p^{4} - 2 p^{3}) + (4 p^{3} + 2 p^{2} - 2 p^{4})$
33033	Evaluate the Integral	integral of (tan( natural log of x))/x with respect to x	$\int \frac{\tan (\ln (x))}{x} d x$
33034	Rationalize the Denominator	1/(( square root of 2)/2)	$\frac{1}{\frac{\sqrt{2}}{2}}$
33035	Solve for x	2/3(x-4/5)=-88/15	$\frac{2}{3} (x - \frac{4}{5}) = - \frac{88}{15}$
33036	Evaluate	(x^4)/(x^4y^-2y^4)	$\frac{x^{4}}{x^{4} y^{- 2} y^{4}}$
33037	Simplify	5(3+ square root of 2)	$5 (3 + \sqrt{2})$
33038	Simplify	-d(9kd^5)^2	$- d {(9 k d^{5})}^{2}$
33039	Evaluate the Limit	limit as x approaches 3 from the left of (x^2\|x-3\|)/(x-3)	$lim_{x \to 3^{-}} \frac{x^{2} \| x - 3 \|}{x - 3}$
33040	Find the Domain	f(x) = square root of 2x-a+b+3	$f (x) = \sqrt{2 x - a} + b + 3$
33041	Find dy/dx	-xy+1+x^2=-2y	$- x y + 1 + x^{2} = - 2 y$
33042	Solve the System of Equations	x=y+2 -3x+3y=6	$x = y + 2$ $- 3 x + 3 y = 6$
33043	Solve for X in Degrees	tan(X)=2	$\tan (X) = 2$
33044	Rationalize the Denominator	(2 square root of 5r)/( square root of m^3)	$\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
33045	Find the Product	(x+(3+5i))^2	${(x + (3 + 5 i))}^{2}$
33046	Solve the System of Equations	3s-t-u=5 3s+2t-u=11 6s-3t+2u=-12	$3 s - t - u = 5$ $3 s + 2 t - u = 11$ $6 s - 3 t + 2 u = - 12$
33047	Evaluate the Limit	limit as x approaches 0 of (a^x-1)/x	$lim_{x \to 0} \frac{a^{x} - 1}{x}$
33048	Divide Using Long Polynomial Division	(2x^4+2x^3-10x-9)÷(x^3+x^2-5)	$(2 x^{4} + 2 x^{3} - 10 x - 9) \div (x^{3} + x^{2} - 5)$
33049	Convert to a Decimal	0.5rad	$0.5$ radians
33050	Solve for x	(7-2x)/6=(x-5)/1	$\frac{7 - 2 x}{6} = \frac{x - 5}{1}$
33051	Simplify the Radical Expression	6/( square root of 8)	$\frac{6}{\sqrt{8}}$
33052	Simplify	-(a+h)^2+6(a+h)	$- {(a + h)}^{2} + 6 (a + h)$
33053	Graph	y=x^-3+3	$y = x^{- 3} + 3$
33054	Find the Domain and Range	f(x) = square root of x^2+1-2	$f (x) = \sqrt{x^{2} + 1} - 2$
33055	Simplify	m/(1/3+18/m)	$\frac{m}{\frac{1}{3} + \frac{18}{m}}$
33056	Solve for x	2-1/3x=1/6x+1	$2 - \frac{1}{3} x = \frac{1}{6} x + 1$
33057	Find dy/dx	-2y^2-2+x^2=0	$- 2 y^{2} - 2 + x^{2} = 0$
33058	Find the GCF	18 and 12	$18$ and $12$
33059	Solve for x	y=x+1/x	$y = x + \frac{1}{x}$
33060	Solve the Function Operation	g(x)=x^2-3x h(x)=2x-2 Find (g-h)(-9)	$g (x) = x^{2} - 3 x$ $h (x) = 2 x - 2$ Find $(g - h) (- 9)$
33061	Evaluate the Integral	integral from 100 to infinity of x/( square root of 1+x^2) with respect to x	$\int_{100}^{\infty} \frac{x}{\sqrt{1 + x^{2}}} d x$
33062	Find the Center and Radius	(x-4)^2+(y)=16	${(x - 4)}^{2} + (y) = 16$
33063	Simplify	Simplify 9 square root of 12+ square root of 32- square root of 72	Simplify $9 \sqrt{12} + \sqrt{32} - \sqrt{72}$
33064	Subtract	(x^2+9)-(x-9)	$(x^{2} + 9) - (x - 9)$
33065	Simplify the Radical Expression	x^(2/5)*x^(1/5)	$x^{\frac{2}{5}} \cdot x^{\frac{1}{5}}$
33066	Simplify	2* square root of 4	$2 \cdot \sqrt{4}$
33067	Solve for x	((x-12)(x+5))/((x-3)^3)<=0	$\frac{(x - 12) (x + 5)}{{(x - 3)}^{3}} \leq 0$
33068	Simplify	2a^2(3a-5)-6a(8a^2-2a+4)	$2 a^{2} (3 a - 5) - 6 a (8 a^{2} - 2 a + 4)$
33069	Simplify	(54m^6n^4)/(3m^2n)-10m^4n^3	$\frac{54 m^{6} n^{4}}{3 m^{2} n} - 10 m^{4} n^{3}$
33070	Solve for x	-3-2x+6=5x	$- 3 - 2 x + 6 = 5 x$
33071	Find the Slope	(4,5) and (-3,8)	$(4, 5)$ and $(- 3, 8)$
33072	Simplify the Radical Expression	-1/4 square root of 48x^3	$- \frac{1}{4} \sqrt{48 x^{3}}$
33073	Solve for x	5(x+3)+4x-3=-(2x-4)+2	$5 (x + 3) + 4 x - 3 = - (2 x - 4) + 2$
33074	Find the Antiderivative	(x^2+1)^3	${(x^{2} + 1)}^{3}$
33075	Simplify	(2^x)/2	$\frac{2^{x}}{2}$
33076	Solve for x in Degrees	cos(x)sin(x)=-sin(x)	$\cos (x) \sin (x) = - \sin (x)$
33077	Simplify	( fourth root of 2)^2	${(\sqrt[4]{2})}^{2}$
33078	Evaluate the Integral	integral of 2x^3sin(3x^4) with respect to x	$\int 2 x^{3} \sin (3 x^{4}) d x$
33079	Solve for x	- cube root of 5-2x=1	$- \sqrt[3]{5 - 2 x} = 1$
33080	Graph	y^2=2x , x=2y	$y^{2} = 2 x$ , $x = 2 y$
33081	Add	(x^4-7x^3+2-x)+(2x^3-3)+(1-5x^3-x^4+x)	$(x^{4} - 7 x^{3} + 2 - x) + (2 x^{3} - 3) + (1 - 5 x^{3} - x^{4} + x)$
33082	Solve for x	x/4+16-2(x-1)=4	$\frac{x}{4} + 16 - 2 (x - 1) = 4$
33083	Graph	y=(2x+1)(2x+3)(2x-5)	$y = (2 x + 1) (2 x + 3) (2 x - 5)$
33084	Solve for z	1/4z-2/7=5/7	$\frac{1}{4} z - \frac{2}{7} = \frac{5}{7}$
33085	Multiply	square root of 2x^3* square root of 5x^3	$\sqrt{2 x^{3}} \cdot \sqrt{5 x^{3}}$
33086	Graph	f(x)=2*cos(x+pi)	$f (x) = 2 \cdot \cos (x + π)$
33087	Solve for x	x^3+x^2-2x-2=0	$x^{3} + x^{2} - 2 x - 2 = 0$
33088	Simplify	a^-4*(a^4b^3)^2	$a^{- 4} \cdot {(a^{4} b^{3})}^{2}$
33089	Find the Antiderivative	f(x)=(1-3x)^2	$f (x) = {(1 - 3 x)}^{2}$
33090	Simplify	-4(x^2-2xy+5y^2-3)	$- 4 (x^{2} - 2 x y + 5 y^{2} - 3)$
33091	Simplify	((x^-2y)/(y^-1))^-3	${(\frac{x^{- 2} y}{y^{- 1}})}^{- 3}$
33092	Evaluate the Limit	limit as x approaches negative infinity of (x^3-1)/(x^3+3)	$lim_{x \to - \infty} \frac{x^{3} - 1}{x^{3} + 3}$
33093	Graph	1-y^2=x^2	$1 - y^{2} = x^{2}$
33094	Simplify	-3/4x+5x	$- \frac{3}{4} x + 5 x$
33095	Find the Domain	(3x+5)/(35x)+(x-3)/(21x)	$\frac{3 x + 5}{35 x} + \frac{x - 3}{21 x}$
33096	Simplify	((x-5)/6)÷((2x-10)/12)	$\frac{x - 5}{6} \div \frac{2 x - 10}{12}$
33097	Solve for x	-x^2+6x=x^2-2x	$- x^{2} + 6 x = x^{2} - 2 x$
33098	Find Reduced Row Echelon Form	[[n,-8,6],[1,2,3]]	$[\begin{array}{c} n & - 8 & 6 \\ 1 & 2 & 3 \end{array}]$
33099	Simplify	-10(u+v)+8(u-1)-3(u+6)	$- 10 (u + v) + 8 (u - 1) - 3 (u + 6)$
33100	Solve for y	y+5x-7=0	$y + 5 x - 7 = 0$