Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34301	Solve for b	square root of 8b=b	$\sqrt{8 b} = b$
34302	Solve for x	64=4^(2x)	$64 = 4^{2 x}$
34303	Find the Domain	g(x)=(5x+\|x\|)/x	$g (x) = \frac{5 x + \| x \|}{x}$
34304	Simplify	(kt+p)^2-2p(kt+p)+7	${(k t + p)}^{2} - 2 p (k t + p) + 7$
34305	Simplify	8x((x-5)/(4x))	$8 x (\frac{x - 5}{4 x})$
34306	Determine if a Polynomial	square root of 3-12x+13x^2	$\sqrt{3} - 12 x + 13 x^{2}$
34307	Solve for x	3.4/2x-12=18/4.5	$\frac{3.4}{2} x - 12 = \frac{18}{4.5}$
34308	Simplify	(20/x-25/(2x))/(5/(x^2)+1/8)	$\frac{\frac{20}{x} - \frac{25}{2 x}}{\frac{5}{x^{2}} + \frac{1}{8}}$
34309	Find the Inverse	y=\|x-3\|	$y = \| x - 3 \|$
34310	Evaluate	xy(3x+2y)=4	$x y (3 x + 2 y) = 4$
34311	Solve the Inequality for x	-7x>6(-5x-1/2)-3	$- 7 x > 6 (- 5 x - \frac{1}{2}) - 3$
34312	Solve for a	a = square root of 8a-15	$a = \sqrt{8 a - 15}$
34313	Find the Sum of the Infinite Geometric Series	120+20+10/3+5/9+...	$120 + 20 + \frac{10}{3} + \frac{5}{9} + \dots$
34314	Solve the Inequality for x	2x^2<=-x-4	$2 x^{2} \leq - x - 4$
34315	Evaluate	(C(451)-C*450)/(451-450)	$\frac{C (451) - C \cdot 450}{451 - 450}$
34316	Simplify	2x^2-5y^2-2z+4x^2-6y^2+z+x	$2 x^{2} - 5 y^{2} - 2 z + 4 x^{2} - 6 y^{2} + z + x$
34317	Simplify the Matrix	x=x/(1-1/(1+x/y))	$x = \frac{x}{1 - \frac{1}{1 + \frac{x}{y}}}$
34318	Write in Standard Form	3x+4y-5=12-x+5y	$3 x + 4 y - 5 = 12 - x + 5 y$
34319	Solve for x	3/4x+2/5=x-7/10	$\frac{3}{4} x + \frac{2}{5} = x - \frac{7}{10}$
34320	Simplify	( square root of x^5y^4)/(y^2 fifth root of z^10)	$\frac{\sqrt{x^{5}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$
34321	Solve the Function Operation	g(t)=2t+5 f(t)=-t^2+5 Find (g+f)(t)	$g (t) = 2 t + 5$ $f (t) = - t^{2} + 5$ Find $(g + f) (t)$
34322	Simplify	fourth root of w sixth root of w^11	$\sqrt[4]{w} \sqrt[6]{w^{11}}$
34323	Add	(-10i)+(-40+8i)	$(- 10 i) + (- 40 + 8 i)$
34324	Solve for θ in Degrees	tan(theta)-5=4tan(theta)-5	$\tan (θ) - 5 = 4 \tan (θ) - 5$
34325	Find the GCF	20 and 45	$20$ and $45$
34326	Solve for x	x/4+2/3=x-1/6	$\frac{x}{4} + \frac{2}{3} = x - \frac{1}{6}$
34327	Factor	1/4x^2-3/5x+4/25	$\frac{1}{4} x^{2} - \frac{3}{5} x + \frac{4}{25}$
34328	Solve for x	5.2^x-2^(x+2)=2^x	${5.2}^{x} - 2^{x + 2} = 2^{x}$
34329	Find the Quotient	(-5x^3+4x^2-8)÷(x^2-2x+2)	$(- 5 x^{3} + 4 x^{2} - 8) \div (x^{2} - 2 x + 2)$
34330	Simplify	(15x^2+20)/(5x)	$\frac{15 x^{2} + 20}{5 x}$
34331	Simplify	(-2x+5)^2+(-2x+5)+10	${(- 2 x + 5)}^{2} + (- 2 x + 5) + 10$
34332	Simplify	((3x-15)/4)÷((x^2-25)/(2x-10))	$\frac{3 x - 15}{4} \div \frac{x^{2} - 25}{2 x - 10}$
34333	Find the Sum of the Series	-12-4-4/3-...-4/243	$- 12 - 4 - \frac{4}{3} - \dots - \frac{4}{243}$
34334	Solve for x	1/2=cos(x)	$\frac{1}{2} = \cos (x)$
34335	Factor	xy(x-y)+3y(y-x)^2	$x y (x - y) + 3 y {(y - x)}^{2}$
34336	Graph	y=(x^2-4)/(3x-6)	$y = \frac{x^{2} - 4}{3 x - 6}$
34337	Convert to a Decimal	90deg to rad	$90$ degrees to radians
34338	Factor by Grouping	a(p-q)+q-p	$a (p - q) + q - p$
34339	Evaluate	(2-10(1/2))/(-1/3)	$\frac{2 - 10 (\frac{1}{2})}{- \frac{1}{3}}$
34340	Evaluate the Limit	limit as x approaches 0 of square root of 64+x^2	$lim_{x \to 0} \sqrt{64 + x^{2}}$
34341	Find the GCF	5x+15xy	$5 x + 15 x y$
34342	Find the Sine Given the Point	((2 square root of 13)/13,-(3 square root of 13)/13)	$(\frac{2 \sqrt{13}}{13}, - \frac{3 \sqrt{13}}{13})$
34343	Solve for x	x^3+2x-3=0	$x^{3} + 2 x - 3 = 0$
34344	Solve for n	n^4-49n^2=0	$n^{4} - 49 n^{2} = 0$
34345	Graph	2x+y=-2 y=x-8	$2 x + y = - 2$ $y = x - 8$
34346	Add	(x^2y-3x^2+y)+(3y-2x^2y)	$(x^{2} y - 3 x^{2} + y) + (3 y - 2 x^{2} y)$
34347	Simplify	(2.710^4)(3.510^3)	$(2.7 \times 10^{4}) (3.5 \times 10^{3})$
34348	Graph	f(x)=(-4x^2+4x)/(5x^2-25x+20)	$f (x) = \frac{- 4 x^{2} + 4 x}{5 x^{2} - 25 x + 20}$
34349	Simplify	square root of 2(3 square root of 2+2 square root of 2)	$\sqrt{2} (3 \sqrt{2} + 2 \sqrt{2})$
34350	Find the Cosine Given the Point	((2 square root of 13)/13,-(3 square root of 13)/13)	$(\frac{2 \sqrt{13}}{13}, - \frac{3 \sqrt{13}}{13})$
34351	Solve for c	5/9c-3/4=7/9c	$\frac{5}{9} c - \frac{3}{4} = \frac{7}{9} c$
34352	Evaluate the Integral	integral from 1 to 9 of (2x+1/x) with respect to x	$\int_{1}^{9} (2 x + \frac{1}{x}) d x$
34353	Solve the System of Equations	-x+2y=-11 and 5x-8y=39	$- x + 2 y = - 11$ and $5 x - 8 y = 39$
34354	Factor	x^3+x^2=4x+4	$x^{3} + x^{2} = 4 x + 4$
34355	Solve the Inequality for x	-1+9x<2+3(-9x+1/2)	$- 1 + 9 x < 2 + 3 (- 9 x + \frac{1}{2})$
34356	Solve the System of Equations	-9x+2y=23 and -4x-y=-3	$- 9 x + 2 y = 23$ and $- 4 x - y = - 3$
34357	Simplify	(2x^3+7x^2+x)+(2x^2-4x-12)	$(2 x^{3} + 7 x^{2} + x) + (2 x^{2} - 4 x - 12)$
34358	Simplify the Radical Expression	(xy)2/5	$(x y) \frac{2}{5}$
34359	Find the Equation of the Circle	Center: (0,0) ; Radius: 4	Center: $(0, 0)$ ; Radius: $4$
34360	Simplify	((8g^-3h)^-1)/(2g^2h^-1)	$\frac{{(8 g^{- 3} h)}^{- 1}}{2 g^{2} h^{- 1}}$
34361	Solve the Inequality for x	3/10-1/2x>2/5+1/4x	$\frac{3}{10} - \frac{1}{2} x > \frac{2}{5} + \frac{1}{4} x$
34362	Find the Antiderivative	(dx)/(e^x+1)	$\frac{d x}{e^{x} + 1}$
34363	Simplify	((x^2-4x-5)/(x+5))÷(x^2+6x+5)	$\frac{x^{2} - 4 x - 5}{x + 5} \div (x^{2} + 6 x + 5)$
34364	Solve for x	(3x-2)/5-(4x+3)/6=-1	$\frac{3 x - 2}{5} - \frac{4 x + 3}{6} = - 1$
34365	Simplify	(6x)/(5y)*(y^2x^-2)/(x^3)	$\frac{6 x}{5 y} \cdot \frac{y^{2} x^{- 2}}{x^{3}}$
34366	Find the Asymptotes	(x^2+11x+28)/(3x^2+21x)	$\frac{x^{2} + 11 x + 28}{3 x^{2} + 21 x}$
34367	Simplify	( cube root of x^5)^3	${(\sqrt[3]{x^{5}})}^{3}$
34368	Graph	-3y+6>9x	$- 3 y + 6 > 9 x$
34369	Solve the Inequality for x	3x-7>=2(x-7)	$3 x - 7 \geq 2 (x - 7)$
34370	Evaluate	sin(pi/2)-sin(0)	$\sin (\frac{π}{2}) - \sin (0)$
34371	Write in Standard Form	(5a+b)(a-4b)	$(5 a + b) (a - 4 b)$
34372	Simplify	x square root of y^3-2 square root of x^2y^3+xy square root of y	$x \sqrt{y^{3}} - 2 \sqrt{x^{2} y^{3}} + x y \sqrt{y}$
34373	Solve the Inequality for x	1<x-(2x+1/2)-3	$1 < x - (2 x + \frac{1}{2}) - 3$
34374	Solve for v	3/13=v/3	$\frac{3}{13} = \frac{v}{3}$
34375	Convert to Polar	x=(y^2)/5	$x = \frac{y^{2}}{5}$
34376	Find the Roots (Zeros)	x^5=-48	$x^{5} = - 48$
34377	Find dy/dx	y=5(5x^2+5x)^3	$y = 5 {(5 x^{2} + 5 x)}^{3}$
34378	Simplify	(1/3)÷(6/9)	$\frac{1}{3} \div \frac{6}{9}$
34379	Solve for x	1/2x+3/4x-4=6	$\frac{1}{2} x + \frac{3}{4} x - 4 = 6$
34380	Simplify	fifth root of a^3s^10d^15f^2	$\sqrt[5]{a^{3} s^{10} d^{15} f^{2}}$
34381	Simplify	fourth root of (3x^6y^5)/(16x^-2y^12)	$\sqrt[4]{\frac{3 x^{6} y^{5}}{16 x^{- 2} y^{12}}}$
34382	Solve the Absolute Value Inequality for x	(\|2x+1\|)/3>=5	$\frac{\| 2 x + 1 \|}{3} \geq 5$
34383	Solve the System of Inequalities	x<1 and x>-1	$x < 1$ and $x > - 1$
34384	Solve for x	1/(x-1)=2/3+2/(x-1)	$\frac{1}{x - 1} = \frac{2}{3} + \frac{2}{x - 1}$
34385	Graph	19>=-2x+5>11	$19 \geq - 2 x + 5 > 11$
34386	Evaluate	square root of 2^2+1^2+2^2	$\sqrt{2^{2} + 1^{2} + 2^{2}}$
34387	Solve for y	2(12-y)=23-(2y-1)	$2 (12 - y) = 23 - (2 y - 1)$
34388	Find the Axis of Symmetry	(y+2)^2=-4x	${(y + 2)}^{2} = - 4 x$
34389	Simplify	t(4t^2+15t+4)-4(3t-1)	$t (4 t^{2} + 15 t + 4) - 4 (3 t - 1)$
34390	Solve the Function Operation	f(5) if f(x)=3x-2	$f (5)$ if $f (x) = 3 x - 2$
34391	Solve the Rational Equation for x	square root of 72-x = square root of x/5	$\sqrt{72 - x} = \sqrt{\frac{x}{5}}$
34392	Find the GCF	x-xy^2	$x - x y^{2}$
34393	Divide	6x^2+7x-20÷2x+5	$6 x^{2} + 7 x - 20 \div 2 x + 5$
34394	Solve for x	(-7(3x+6))/3=7	$\frac{- 7 (3 x + 6)}{3} = 7$
34395	Solve for a	8a^3+3=83	$8 a^{3} + 3 = 83$
34396	Divide Using Synthetic Division	(40x^3+4x^2-6)÷(2x+1)	$(40 x^{3} + 4 x^{2} - 6) \div (2 x + 1)$
34397	Solve for x	(sin(x))(tan(x)+1)=0	$(\sin (x)) (\tan (x) + 1) = 0$
34398	Solve the System of Equations	1/4x+3/5y=1 1/6x-1/3y=-3	$\frac{1}{4} x + \frac{3}{5} y = 1$ $\frac{1}{6} x - \frac{1}{3} y = - 3$
34399	Find the Derivative - d/dx	y=2 fifth root of x^2	$y = 2 \sqrt[5]{x^{2}}$
34400	Evaluate the Limit	limit as x approaches infinity of 4-3/(x^2)	$lim_{x \to \infty} 4 - \frac{3}{x^{2}}$