Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
41201	Expand Using Sum/Difference Formulas	cos(60 degrees -45 degrees )	$\cos (60 ° - 45 °)$
41202	Evaluate	( log base 5 of 12- log base 5 of 4)* log base 1/9 of cube root of 5	$(\log_{5} (12) - \log_{5} (4)) \cdot \log_{\frac{1}{9}} (\sqrt[3]{5})$
41203	Solve by Addition/Elimination	5x+6y=50 and x-6y=-26	$5 x + 6 y = 50$ and $x - 6 y = - 26$
41204	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+2x^3+x^2-8x-20 is divided by x-2	Use synthetic division to find the result when $x^{4} + 2 x^{3} + x^{2} - 8 x - 20$ is divided by $x - 2$
41205	Simplify	(5x^-1y^(1/2))/( square root of 25x^4y^2)	$\frac{5 x^{- 1} y^{\frac{1}{2}}}{\sqrt{25 x^{4} y^{2}}}$
41206	Simplify	((2v)/(3v^3-9v^2))÷((v-8)/(v^2-11v+24))	$\frac{2 v}{3 v^{3} - 9 v^{2}} \div \frac{v - 8}{v^{2} - 11 v + 24}$
41207	Graph	y>5+x	$y > 5 + x$
41208	Solve for x	square root of x^2+3x-2-x=1	$\sqrt{x^{2} + 3 x - 2} - x = 1$
41209	Simplify	(z^-2zy^(3/5))^8	${(z^{- 2} \cdot z \cdot y^{\frac{3}{5}})}^{8}$
41210	Solve for x	4x^2+6x+35=16x^2+7x	$4 x^{2} + 6 x + 35 = 16 x^{2} + 7 x$
41211	Simplify	(15x^-3)/x	$\frac{15 x^{- 3}}{x}$
41212	Simplify	(100/4)^(1/2)	${(\frac{100}{4})}^{\frac{1}{2}}$
41213	Find the Derivative - d/dx	square root of xe^(-x)	$\sqrt{x} e^{- x}$
41214	Evaluate the Integral	integral from 0 to 1 of (x^16+16^x) with respect to x	$\int_{0}^{1} (x^{16} + 16^{x}) d x$
41215	Graph	-27=x^4-12x^2	$- 27 = x^{4} - 12 x^{2}$
41216	Simplify	3xx	$3 \cdot x \cdot x$
41217	Evaluate the Integral	integral of (10 cube root of 5x-2)/3 with respect to x	$\int \frac{10 \sqrt[3]{5 x - 2}}{3} d x$
41218	Solve for x	3x-4+x=4(x-1)	$3 x - 4 + x = 4 (x - 1)$
41219	Integrate Using u-Substitution	integral of e^(sin(x))cos(x) with respect to x	$\int e^{\sin (x)} \cos (x) d x$
41220	Find the Exact Value	3^3+8*2	$3^{3} + 8 \cdot 2$
41221	Divide Using Long Polynomial Division	2x^3+3x^2+7x+6 divided by x+1	$2 x^{3} + 3 x^{2} + 7 x + 6$ divided by $x + 1$
41222	Simplify	2/(x^2-9)-(3x)/(x^2-5x+6)	$\frac{2}{x^{2} - 9} - \frac{3 x}{x^{2} - 5 x + 6}$
41223	Convert to a Decimal	60deg to rad	$60$ degrees to radians
41224	Find the Symmetry	f(x)=3x	$f (x) = 3 x$
41225	Determine if (3,2) is a Solution	x+y>5 , (3,2)	$x + y > 5$ , $(3, 2)$
41226	Solve for x	1/3(9-6x)=-4x	$\frac{1}{3} (9 - 6 x) = - 4 x$
41227	Find the Derivative - d/dh	(f(2+h)-f(2))/h	$\frac{f (2 + h) - f (2)}{h}$
41228	Find the Holes in the Graph	f(x)=(x^2-x-6)/(x^2+x-2)	$f (x) = \frac{x^{2} - x - 6}{x^{2} + x - 2}$
41229	Solve for x	fourth root of 83x-18=3 fourth root of x	$\sqrt[4]{83 x - 18} = 3 \sqrt[4]{x}$
41230	Solve for x in Degrees	tan(x)sin(x)+4sin(x)=0	$\tan (x) \sin (x) + 4 \sin (x) = 0$
41231	Solve for x	x(3x-2)=(3x+1)(x-3)	$x (3 x - 2) = (3 x + 1) (x - 3)$
41232	Find the Asymptotes	(2(2x+5))/(3(x-7)(x-1))	$\frac{2 (2 x + 5)}{3 (x - 7) (x - 1)}$
41233	Evaluate	-6/20+1.5	$- \frac{6}{20} + 1.5$
41234	Solve for x	9/14=(x+8)/(3x-2)	$\frac{9}{14} = \frac{x + 8}{3 x - 2}$
41235	Find the x and y Intercepts	f(x)=2-3/(x^2)	$f (x) = 2 - \frac{3}{x^{2}}$
41236	Find the Inflection Points	-3/20x^5+11x^3	$- \frac{3}{20} x^{5} + 11 x^{3}$
41237	Solve the Rational Equation for x	square root of x-5=0	$\sqrt{x} - 5 = 0$
41238	Simplify	((x-4)(x^2+2x-48))/((36-x^2)(x^2+4x-32))	$\frac{(x - 4) (x^{2} + 2 x - 48)}{(36 - x^{2}) (x^{2} + 4 x - 32)}$
41239	Find All Complex Solutions	\|x+7\|=\|x+11\|	$\| x + 7 \| = \| x + 11 \|$
41240	Simplify	( cube root of x)/( cube root of xy)	$\frac{\sqrt[3]{x}}{\sqrt[3]{x y}}$
41241	Find the Center and Radius	x^2+y^2+z^2-8x+8z+16=0	$x^{2} + y^{2} + z^{2} - 8 x + 8 z + 16 = 0$
41242	Solve for C	C(x)=-4x^2+4x+3	$C (x) = - 4 x^{2} + 4 x + 3$
41243	Solve for θ in Degrees	6tan(theta)^2-10tan(theta)+1=-5tan(theta)	$6 \tan^{2} (θ) - 10 \tan (θ) + 1 = - 5 \tan (θ)$
41244	Solve the System of Inequalities	y>=-3x-2 y>=2x-7	$y \geq - 3 x - 2$ $y \geq 2 x - 7$
41245	Write the Fraction in Simplest Form	-3/2-3/8	$- \frac{3}{2} - \frac{3}{8}$
41246	Solve the Inequality for a	3(3a-8)>-96	$3 (3 a - 8) > - 96$
41247	Solve for y	y = square root of 64-6	$y = \sqrt{64} - 6$
41248	Simplify	1-(1/2)^2	$1 - {(\frac{1}{2})}^{2}$
41249	Evaluate	(x^2y^3)^2	${(x^{2} y^{3})}^{2}$
41250	Describe the Transformation	f(x)=1/4*4^x-2	$f (x) = \frac{1}{4} \cdot 4^{x} - 2$
41251	Find the Maximum/Minimum Value	f(x)=sin(2x)	$f (x) = \sin (2 x)$
41252	Simplify	sec(theta)tan(theta)cos(theta)	$\sec (θ) \cdot \tan (θ) \cdot \cos (θ)$
41253	Evaluate	((-1)^4)/4-(-1)^3+3(-1)^2	$\frac{{(- 1)}^{4}}{4} - {(- 1)}^{3} + 3 {(- 1)}^{2}$
41254	Simplify	(2 square root of 3)/(2 square root of 15)	$\frac{2 \sqrt{3}}{2 \sqrt{15}}$
41255	Find the Asymptotes	(2(x+3)(x+7))/((x+1)(x+7))	$\frac{2 (x + 3) (x + 7)}{(x + 1) (x + 7)}$
41256	Evaluate the Function	F(0)=4x-2	$F (0) = 4 x - 2$
41257	Solve the Inequality for n	60>5-5n	$60 > 5 - 5 n$
41258	Find the Product	3^5*7^5=e^5	$3^{5} \cdot 7^{5} = e^{5}$
41259	Solve for x	cos(2/3x-pi/2)-1=0	$\cos (\frac{2}{3} x - \frac{π}{2}) - 1 = 0$
41260	Add	(5x^4+2x^3-1)+(3x^2-3x+3)	$(5 x^{4} + 2 x^{3} - 1) + (3 x^{2} - 3 x + 3)$
41261	Find the Asymptotes	(3(2x+5)(2x-5))/(3(2x+5))	$\frac{3 (2 x + 5) (2 x - 5)}{3 (2 x + 5)}$
41262	Find the Domain	(x^2+5x+4)/(x^2-13x+40)*(x-8)/(x^2-1)	$\frac{x^{2} + 5 x + 4}{x^{2} - 13 x + 40} \cdot \frac{x - 8}{x^{2} - 1}$
41263	Solve by Substitution	2x-3y=13 y=1/2x-7/2	$2 x - 3 y = 13$ $y = \frac{1}{2} x - \frac{7}{2}$
41264	Simplify	The sum of (6x-7) and (3x-5) is	The sum of $(6 x - 7)$ and $(3 x - 5)$ is
41265	Evaluate the Integral	integral from 1 to 27 of cube root of x-1/x with respect to x	$\int_{1}^{27} \sqrt[3]{x} - \frac{1}{x} d x$
41266	Evaluate from the Right	limit as x approaches 0 of (x-1)/(x+1)	$lim_{x \to 0} \frac{x - 1}{x + 1}$
41267	Find the Domain	(m^2-16n^2)÷((3m+12n)/(mn))	$(m^{2} - 16 n^{2}) \div \frac{3 m + 12 n}{m n}$
41268	Solve for x	2x+5(-4/7)=2	$2 x + 5 (- \frac{4}{7}) = 2$
41269	Find the Antiderivative	f(x)=2sin(x/2)^2	$f (x) = 2 \sin^{2} (\frac{x}{2})$
41270	Solve for θ in Degrees	6sin(theta)^2-17sin(theta)+14=-4sin(theta)+9	$6 \sin^{2} (θ) - 17 \sin (θ) + 14 = - 4 \sin (θ) + 9$
41271	Simplify	3y+3y+5+7x^3-y-6-7x^3	$3 y + 3 y + 5 + 7 x^{3} - y - 6 - 7 x^{3}$
41272	Simplify	-4n+1/3m+4n-4/5m	$- 4 n + \frac{1}{3} m + 4 n - \frac{4}{5} m$
41273	Find the Area of the Triangle	(-4,-5) , (-3,2) and (9,0)	$(- 4, - 5)$ , $(- 3, 2)$ and $(9, 0)$
41274	Evaluate	52-200/(2^2)*3+7^(1+3)	$52 - \frac{200}{2^{2}} \cdot 3 + 7^{1 + 3}$
41275	Solve for v	4/(v+4)=8/(2v+8)-3	$\frac{4}{v + 4} = \frac{8}{2 v + 8} - 3$
41276	Graph	y=2÷x	$y = 2 \div x$
41277	Evaluate the Limit	limit as x approaches 0 of (1+arctan(x))^(1/x)	$lim_{x \to 0} {(1 + \arctan (x))}^{\frac{1}{x}}$
41278	Find the Slope	-2/1	$- \frac{2}{1}$
41279	Simplify the Radical Expression	seventh root of 4^-10	$\sqrt[7]{4^{- 10}}$
41280	Evaluate the Limit	limit as x approaches 3 of ((x-2)^2-(x-4)^2)/(x-3)	$lim_{x \to 3} \frac{{(x - 2)}^{2} - {(x - 4)}^{2}}{x - 3}$
41281	Find the Derivative - d/dx	d/(dx)(1/(x^3)-1/x+x^2)	$\frac{d}{d x} (\frac{1}{x^{3}} - \frac{1}{x} + x^{2})$
41282	Simplify	2(4^k+4^k)	$2 (4^{k} + 4^{k})$
41283	Simplify	(6b^3+2b^4)+(8b^4+2b-6b^3)	$(6 b^{3} + 2 b^{4}) + (8 b^{4} + 2 b - 6 b^{3})$
41284	Evaluate the Integral	integral of ((7x^6)/(x^7+2)) with respect to x	$\int (\frac{7 x^{6}}{x^{7} + 2}) d x$
41285	Solve for r	a=pi(r+2)^2	$a = π {(r + 2)}^{2}$
41286	Determine if Linear	2y=6x^2-x+3	$2 y = 6 x^{2} - x + 3$
41287	Simplify	(2 square root of 12)/( square root of 75)	$\frac{2 \sqrt{12}}{\sqrt{75}}$
41288	Find the Holes in the Graph	(2x^2-2)/(x^2-x)	$\frac{2 x^{2} - 2}{x^{2} - x}$
41289	Add	x^5-4x^4+7x^3+8 , 9x^3+7x^2-10 ; and -2x^5+7x^4-3x+8	$x^{5} - 4 x^{4} + 7 x^{3} + 8$ , $9 x^{3} + 7 x^{2} - 10$ ; and $- 2 x^{5} + 7 x^{4} - 3 x + 8$
41290	Solve by Factoring	2x^2=3x+10	$2 x^{2} = 3 x + 10$
41291	Solve for z	z-4.7>=-1.6	$z - 4.7 \geq - 1.6$
41292	Graph	-2x^4-3x^2+x-1	$- 2 x^{4} - 3 x^{2} + x - 1$
41293	Find the Derivative - d/dx	y=4/( square root of -x^2+2x-5)	$y = \frac{4}{\sqrt{- x^{2} + 2 x - 5}}$
41294	Find the Domain	q(x)=1/((x+4)(x-2)(x-7))	$q (x) = \frac{1}{(x + 4) (x - 2) (x - 7)}$
41295	Simplify	x/(4x-8)	$\frac{x}{4 x - 8}$
41296	Evaluate the Integral	integral of x^(1/3)(x^(4/3)+9)^8 with respect to x	$\int x^{\frac{1}{3}} {(x^{\frac{4}{3}} + 9)}^{8} d x$
41297	Graph Using a Table of Values	y = cube root of x-1	$y = \sqrt[3]{x - 1}$
41298	Simplify	7^-2x^2	$7^{- 2} x^{2}$
41299	Simplify	(8+6x^2-5x)+(x+x^2-1)	$(8 + 6 x^{2} - 5 x) + (x + x^{2} - 1)$
41300	Solve the Inequality for x	9^x*3^(x+2)=3^(f(x))	$9^{x} \cdot 3^{x + 2} = 3^{f (x)}$