Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16401	Solve for x	1/x-2/(x+3)=2/(x+3)	$\frac{1}{x} - \frac{2}{x + 3} = \frac{2}{x + 3}$
16402	Evaluate	2(5+x)	$2 (5 + x)$
16403	Find the Derivative - d/dx	x^5e^(-3 natural log of x)	$x^{5} e^{- 3 \ln (x)}$
16404	Find dy/dx	-2x^3+y^3+x=5	$- 2 x^{3} + y^{3} + x = 5$
16405	Find dy/dx	y=((x+1)/(x-1))^3	$y = {(\frac{x + 1}{x - 1})}^{3}$
16406	Solve for y	( log base 5 of y)^2-7 log base 5 of y+12=0	${\log_{5}}^{2} (y) - 7 \log_{5} (y) + 12 = 0$
16407	Solve for θ	cos(theta/2)-cos(theta)=1	$\cos (\frac{θ}{2}) - \cos (θ) = 1$
16408	Evaluate the Integral	integral of 1/(theta^2)cos(1/theta) with respect to theta	$\int \frac{1}{θ^{2}} \cos (\frac{1}{θ}) d θ$
16409	Solve for y	3(y+4)=x	$3 (y + 4) = x$
16410	Simplify	(1+tan(theta)^2)/(cot(theta)^2)	$\frac{(1 + \tan^{2} (θ))}{\cot^{2} (θ)}$
16411	Simplify	-(2ab^2-ab+b)+3ab^2-4b-(5ab-ab^2)	$- (2 a b^{2} - a b + b) + 3 a b^{2} - 4 b - (5 a b - a b^{2})$
16412	Solve the Inequality for x	(5x-1)/5+(x+1)/2<=x	$\frac{(5 x - 1)}{5} + \frac{(x + 1)}{2} \leq x$
16413	Solve for y	square root of y+14- square root of 3y-10=0	$\sqrt{y + 14} - \sqrt{3 y - 10} = 0$
16414	Simplify	4x^(2/3)*5x^(1/2)	$4 x^{\frac{2}{3}} \cdot 5 x^{\frac{1}{2}}$
16415	Solve for x	2(4x)+30=46	$2 (4 x) + 30 = 46$
16416	Find the x and y Intercepts	y-3=1/2(x-6)	$y - 3 = \frac{1}{2} (x - 6)$
16417	Determine if a Polynomial	r^4+r	$r^{4} + r$
16418	Find Trig Functions Using Identities	tan(theta)=4/3 , cos(theta)<0	$\tan (θ) = \frac{4}{3}$ , $\cos (θ) < 0$
16419	Write in Standard Form	(1+i)+(3+i)	$(1 + i) + (3 + i)$
16420	Simplify	fourth root of (a^5b^3)/(625a)	$\sqrt[4]{\frac{a^{5} b^{3}}{625 a}}$
16421	Solve for θ in Degrees	sin(theta)=8/10	$\sin (θ) = \frac{8}{10}$
16422	Solve for v	1/4v=2+3	$\frac{1}{4} v = 2 + 3$
16423	Graph	3y<=7x-21	$3 y \leq 7 x - 21$
16424	Identify the Sequence	2 , 8 , 32 , 128 ; dots	$2$ , $8$ , $32$ , $128$ ; dots
16425	Solve for x	x^5-4x^3+3x=0	$x^{5} - 4 x^{3} + 3 x = 0$
16426	Simplify	5/9z-6/9z+2-7/9z-9	$\frac{5}{9} z - \frac{6}{9} z + 2 - \frac{7}{9} z - 9$
16427	Evaluate	((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1	$\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
16428	Solve for x	9/(5x)-1/6=-1	$\frac{9}{5 x} - \frac{1}{6} = - 1$
16429	Solve the Inequality for j	-2.3<j/4	$- 2.3 < \frac{j}{4}$
16430	Write in Standard Form	-3n^2(-2n^3+7n+4n)	$- 3 n^{2} (- 2 n^{3} + 7 n + 4 n)$
16431	Write in Standard Form	(7i)(-3i)	$(7 i) (- 3 i)$
16432	Write Using Positive Exponents	(a^3b^-2)/(ab^-4)	$\frac{a^{3} b^{- 2}}{a b^{- 4}}$
16433	Find the Roots (Zeros)	2x^5+24x=14x^3	$2 x^{5} + 24 x = 14 x^{3}$
16434	Solve for x	log base 5 of 2x^2-1- log base 5 of 3x+4=0	$\log_{5} (2 x^{2} - 1) - \log_{5} (3 x + 4) = 0$
16435	Find dy/dx	-x^3+5x-3y^2+2=0	$- x^{3} + 5 x - 3 y^{2} + 2 = 0$
16436	Find the Antiderivative	f(x)=(x^4+2)/(x^2)	$f (x) = \frac{x^{4} + 2}{x^{2}}$
16437	Write the Fraction in Simplest Form	(2(a^2)^3)/(-10a^-8)	$\frac{2 {(a^{2})}^{3}}{- 10 a^{- 8}}$
16438	Simplify	(-cd^2)^4	${(- c d^{2})}^{4}$
16439	Solve for C	2C+5(-4/7)=2	$2 C + 5 (- \frac{4}{7}) = 2$
16440	Solve the Inequality for x	3\|x+5\|+7<=-16	$3 \| x + 5 \| + 7 \leq - 16$
16441	Solve for x	-2/5-3/(2x)=3/(4x)	$- \frac{2}{5} - \frac{3}{2 x} = \frac{3}{4 x}$
16442	Divide	(4f^5-6f^4+12f^3-8f^2)(4f^2)^-1	$(4 f^{5} - 6 f^{4} + 12 f^{3} - 8 f^{2}) {(4 f^{2})}^{- 1}$
16443	Simplify	(11y^3+9xy^3)-(9y^3+8xy^3-2x^4y^3)+(-2y^3+12x^4y^3)	$(11 y^{3} + 9 x y^{3}) - (9 y^{3} + 8 x y^{3} - 2 x^{4} y^{3}) + (- 2 y^{3} + 12 x^{4} y^{3})$
16444	Write in Exponential Form	( cube root of x)^3	${(\sqrt[3]{x})}^{3}$
16445	Solve the Rational Equation for x	square root of x+12=x	$\sqrt{x + 12} = x$
16446	Multiply	(x-d)(x+d)(x^2-d^2)	$(x - d) (x + d) (x^{2} - d^{2})$
16447	Simplify	(8m^-2)/(4n^-1)	$\frac{8 m^{- 2}}{4 n^{- 1}}$
16448	Simplify	(x^2)^5(16x^10)^(1/2)	${(x^{2})}^{5} {(16 x^{10})}^{\frac{1}{2}}$
16449	Solve for u	4/(u+4)=8/(2u+8)-3	$\frac{4}{u + 4} = \frac{8}{2 u + 8} - 3$
16450	Solve for y	x-16i=3-(2y)i	$x - 16 i = 3 - (2 y) i$
16451	Evaluate	cube root of 40/5	$\sqrt[3]{\frac{40}{5}}$
16452	Solve by Factoring	2x^2-8=31x-2x^2	$2 x^{2} - 8 = 31 x - 2 x^{2}$
16453	Simplify	(10x^2y)/(2y)	$\frac{10 x^{2} y}{2 y}$
16454	Solve the Differential Equation	xy'-2y=2	$x y' - 2 y = 2$
16455	Find All Complex Solutions	105 degrees =60 degrees +45 degrees	$105 ° = 60 ° + 45 °$
16456	Simplify	(a/b)/((c^2)/d)	$\frac{\frac{a}{b}}{\frac{c^{2}}{d}}$
16457	Simplify	((a-b)^2)/((b-a)^2)	$\frac{{(a - b)}^{2}}{{(b - a)}^{2}}$
16458	Solve the System of Equations	Solve 5x-6y=-38 3x+4y=0	Solve $5 x - 6 y = - 38$ $3 x + 4 y = 0$
16459	Solve by Graphing	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
16460	Solve for v	9=v+4/v+12	$9 = v + \frac{4}{v} + 12$
16461	Find Where Increasing/Decreasing	f(x)=5/2x^-4	$f (x) = \frac{5}{2} x^{- 4}$
16462	Simplify	y square root of 2y^3-3 square root of 8y^5+3y square root of 72y^3	$y \sqrt{2 y^{3}} - 3 \sqrt{8 y^{5}} + 3 y \sqrt{72 y^{3}}$
16463	Find the LCM	6 and 5	$6$ and $5$
16464	Rationalize the Denominator	cube root of 24/25	$\sqrt[3]{\frac{24}{25}}$
16465	Write the Fraction in Simplest Form	(6x^2)/((2m^4x^5)^4)	$\frac{6 x^{2}}{{(2 m^{4} x^{5})}^{4}}$
16466	Find the Antiderivative	5+x+x^2+x^3	$5 + x + x^{2} + x^{3}$
16467	Graph	table[[x,y],[0,0],[1,1],[2,4]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \end{array}$
16468	Simplify	-3 square root of 6x^2*2 square root of 4x^5	$- 3 \sqrt{6 x^{2}} \cdot 2 \sqrt{4 x^{5}}$
16469	Solve the Inequality for x	12>=6-3x>=-3	$12 \geq 6 - 3 x \geq - 3$
16470	Solve for v	(7v-2)^(1/4)+12=7	${(7 v - 2)}^{\frac{1}{4}} + 12 = 7$
16471	Evaluate the Limit	limit as x approaches pi of (sin(x))/(tan(x))	$lim_{x \to π} \frac{\sin (x)}{\tan (x)}$
16472	Simplify	(5*2-3^2)/((3^2-(-2))^2)	$\frac{5 \cdot 2 - 3^{2}}{{(3^{2} - (- 2))}^{2}}$
16473	Simplify	(3x^2+2y^2-3x)-(2x^2+y^2-2x)	$(3 x^{2} + 2 y^{2} - 3 x) - (2 x^{2} + y^{2} - 2 x)$
16474	Solve the Inequality for x	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
16475	Solve for x	9x^5=27x^3	$9 x^{5} = 27 x^{3}$
16476	Simplify	( square root of 5)÷( square root of 15)	$\sqrt{5} \div \sqrt{15}$
16477	Find the GCF	24x^3y^2-18xy^3+12y^3	$24 x^{3} y^{2} - 18 x y^{3} + 12 y^{3}$
16478	Solve for y	x=( square root of 2y)/26	$x = \frac{\sqrt{2 y}}{26}$
16479	Solve for n	-6(3+n)-10=-6n-4-24n	$- 6 (3 + n) - 10 = - 6 n - 4 - 24 n$
16480	Simplify the Radical Expression	square root of (81x^4)/(9x^2)	$\sqrt{\frac{81 x^{4}}{9 x^{2}}}$
16481	Find the Degree	8a^3+a^5-a	$8 a^{3} + a^{5} - a$
16482	Multiply	square root of 18a^2*4 square root of 3a^2	$\sqrt{18 a^{2}} \cdot 4 \sqrt{3 a^{2}}$
16483	Solve for n	square root of 15-n = square root of 3n-5	$\sqrt{15 - n} = \sqrt{3 n - 5}$
16484	Combine Like Terms	x+2x+3x	$x + 2 x + 3 x$
16485	Factor	a^2b^2-c^4	$a^{2} b^{2} - c^{4}$
16486	Find the Asymptotes	(2x+3)/(5x^2+4)	$\frac{2 x + 3}{5 x^{2} + 4}$
16487	Solve the Inequality for k	10/3k>=-10	$\frac{10}{3} k \geq - 10$
16488	Integrate Using u-Substitution	integral from -6 to 0 of \|x^3+27\| with respect to x	$\int_{- 6}^{0} \| x^{3} + 27 \| d x$
16489	Simplify	9 square root of 6a-11 square root of 6a+4 square root of 6a	$9 \sqrt{6 a} - 11 \sqrt{6 a} + 4 \sqrt{6 a}$
16490	Graph	Graph 3x+4y=12	Graph $3 x + 4 y = 12$
16491	Evaluate	2*(1/3)^2	$2 \cdot {(\frac{1}{3})}^{2}$
16492	Evaluate	2*(1/3)^-2	$2 \cdot {(\frac{1}{3})}^{- 2}$
16493	Simplify	(7a)/(12b)-(2a)/(15b)	$\frac{7 a}{12 b} - \frac{2 a}{15 b}$
16494	Solve the Function Operation	Given that f(x)=x^2-18x+80 and g(x)=x-10 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 18 x + 80$ and $g (x) = x - 10$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
16495	Subtract	(6n^2+11n^3+2n)-(4n-3+5n^2)	$(6 n^{2} + 11 n^{3} + 2 n) - (4 n - 3 + 5 n^{2})$
16496	Write in Standard Form	(710^5)÷(210^2)	$(7 \cdot 10^{5}) \div (2 \cdot 10^{2})$
16497	Evaluate	5% of 60	$5 %$ of $60$
16498	Simplify	-8i+(-i)	$- 8 i + (- i)$
16499	Simplify	((8x-56)/(x^2-49))÷((x-6)/(x^2+11x+28))	$\frac{8 x - 56}{x^{2} - 49} \div \frac{x - 6}{x^{2} + 11 x + 28}$
16500	Simplify	fourth root of cube root of 81	$\sqrt[4]{\sqrt[3]{81}}$