Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34401	Find the GCF	18k	$18 k$
34402	Graph	f(x)=x*2^x	$f (x) = x \cdot 2^{x}$
34403	Find dy/dx	2x^3+2y^2+5y=0	$2 x^{3} + 2 y^{2} + 5 y = 0$
34404	Evaluate	(-3)^4+8(-3)^3+18(-3)^2+4	${(- 3)}^{4} + 8 {(- 3)}^{3} + 18 {(- 3)}^{2} + 4$
34405	Solve for a in Degrees	tan(a)=2.0503	$\tan (a) = 2.0503$
34406	Simplify	(x^2-9)/(x^2+3x-18)*(x+6)/(x-5)	$\frac{x^{2} - 9}{x^{2} + 3 x - 18} \cdot \frac{x + 6}{x - 5}$
34407	Solve for p	S=(r-p)/9	$S = \frac{r - p}{9}$
34408	Find the Derivative - d/dx	- natural log of cos(x)	$- \ln (\cos (x))$
34409	Solve the Inequality for x	x+5<=-1/2(-x+2)+x	$x + 5 \leq - \frac{1}{2} (- x + 2) + x$
34410	Divide	(-16/21)÷(112/-19)	$- \frac{16}{21} \div \frac{112}{- 19}$
34411	Solve the Absolute Value Inequality for p	-3\|p\|=-12	$- 3 \| p \| = - 12$
34412	Simplify	(2/(7x^2))÷((10x^2)/7)	$\frac{2}{7 x^{2}} \div \frac{10 x^{2}}{7}$
34413	Simplify	( square root of 8)( square root of 4)( square root of 3)	$(\sqrt{8}) (\sqrt{4}) (\sqrt{3})$
34414	Simplify	((2a^2b^3)/(x^3y^4))^-2	${(\frac{2 a^{2} b^{3}}{x^{3} y^{4}})}^{- 2}$
34415	Simplify	(x^3y^5)(x^4y^2)^3	$(x^{3} y^{5}) {(x^{4} y^{2})}^{3}$
34416	Integrate Using u-Substitution	integral of square root of x with respect to x	$\int \sqrt{x} d x$
34417	Evaluate	10^610^210^-8	$10^{6} \cdot 10^{2} \cdot 10^{- 8}$
34418	Solve by Completing the Square	8x=x^2+12	$8 x = x^{2} + 12$
34419	Find the Domain	h(k)=k+ square root of 6-4k- cube root of k-7	$h (k) = k + \sqrt{6 - 4 k} - \sqrt[3]{k - 7}$
34420	Evaluate	2x(x+3)	$2 x (x + 3)$
34421	Simplify	(n+1)^2-n^2	${(n + 1)}^{2} - n^{2}$
34422	Simplify	(-x^2+6)/(2x^2+3x-5)	$\frac{- x^{2} + 6}{2 x^{2} + 3 x - 5}$
34423	Convert to a Decimal	1 unit	$1$ unit
34424	Solve for x	x- square root of 5 = square root of 20	$x - \sqrt{5} = \sqrt{20}$
34425	Simplify	a2/3*a3/2	$a \frac{2}{3} \cdot a \frac{3}{2}$
34426	Divide Using Synthetic Division	(x^4-2x^3+x^2+x-1)÷(x-1)	$(x^{4} - 2 x^{3} + x^{2} + x - 1) \div (x - 1)$
34427	Find the Secant Given the Point	(-1/5,(2 square root of 6)/5)	$(- \frac{1}{5}, \frac{2 \sqrt{6}}{5})$
34428	Simplify	( cube root of 405a^4)( cube root of 54a)	$(\sqrt[3]{405 a^{4}}) (\sqrt[3]{54 a})$
34429	Solve the Function Operation	g(x)=-x-1 ; find g(-4)	$g (x) = - x - 1$ ; find $g (- 4)$
34430	Evaluate	(6^2-(3) square root of 25)/( square root of 6^2+13)	$\frac{6^{2} - (3) \sqrt{25}}{\sqrt{6^{2} + 13}}$
34431	Evaluate	5(4^2-2^3)-7*3	$5 (4^{2} - 2^{3}) - 7 \cdot 3$
34432	Find the Domain	f(x) = square root of 1-5/x	$f (x) = \sqrt{1 - \frac{5}{x}}$
34433	Solve the System of Inequalities	-4x+3>-9 and -6x<=12	$- 4 x + 3 > - 9$ and $- 6 x \leq 12$
34434	Solve for x	tan(x)^2=0	$\tan^{2} (x) = 0$
34435	Solve by Substitution	x+y=4 y=-x+4	$x + y = 4$ $y = - x + 4$
34436	Graph	-132>12(n+9)	$- 132 > 12 (n + 9)$
34437	Solve for c	11(8c+5)-8c=2(40c+25)+5	$11 (8 c + 5) - 8 c = 2 (40 c + 25) + 5$
34438	Find the Derivative - d/dx	2x^2-x^2sin(x)	$2 x^{2} - x^{2} \sin (x)$
34439	Find the Derivative - d/dx	square root of 4-x^2-y^2	$\sqrt{4 - x^{2} - y^{2}}$
34440	Simplify the Radical Expression	(2 square root of 5r)/( square root of m^3)	$\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
34441	Solve for w	w(w-35)=0	$w (w - 35) = 0$
34442	Find the Slope	P=35-1/4Q	$P = 35 - \frac{1}{4} Q$
34443	Solve for x	28/54=(2x+8)/(5x-4)	$\frac{28}{54} = \frac{2 x + 8}{5 x - 4}$
34444	Find the Slope	(-5,1) and (-5,7)	$(- 5, 1)$ and $(- 5, 7)$
34445	Simplify	(8x+40)/(x+7)*3/(2x^2-50)	$\frac{8 x + 40}{x + 7} \cdot \frac{3}{2 x^{2} - 50}$
34446	Solve for y	3y>-21	$3 y > - 21$
34447	Evaluate	100-(8*7+4)÷15	$100 - (8 \cdot 7 + 4) \div 15$
34448	Rationalize the Denominator	(2+ square root of 3)/( square root of 3+ square root of 2)	$\frac{2 + \sqrt{3}}{\sqrt{3} + \sqrt{2}}$
34449	Graph	f'(x)=0	$f' (x) = 0$
34450	Evaluate	2d+ cube root of -45d	$2 d + \sqrt[3]{- 45 d}$
34451	Evaluate	2cos(x)+ square root of 3=0	$2 \cos (x) + \sqrt{3} = 0$
34452	Solve for x	v^2=vo^2+2ax	$v^{2} = v o^{2} + 2 a x$
34453	Find Where Increasing/Decreasing	y=(2/3)^x	$y = {(\frac{2}{3})}^{x}$
34454	Solve the Inequality for z	z+4.5<=3.25	$z + 4.5 \leq 3.25$
34455	Evaluate	5^0*(5^5)/(5^-2)	$5^{0} \cdot \frac{5^{5}}{5^{- 2}}$
34456	Graph	x^2+((5y)/4- square root of \|x\|)^2=1	$x^{2} + {(\frac{5 y}{4} - \sqrt{\| x \|})}^{2} = 1$
34457	Find the Derivative - d/dp	pp	$p \cdot p$
34458	Convert to Interval Notation	x<3 and x>-3	$x < 3$ and $x > - 3$
34459	Solve for x	(36)+(3x)=24	$(3 \cdot 6) + (3 \cdot x) = 24$
34460	Simplify	25^0x^3y^0	$25^{0} x^{3} y^{0}$
34461	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+7x^2-8x-5 is divided by 2x+1	Use the long division method to find the result when $6 x^{3} + 7 x^{2} - 8 x - 5$ is divided by $2 x + 1$
34462	Divide	(5^4)/5	$\frac{5^{4}}{5}$
34463	Simplify	4x+3y^2-7z^3+5z^2+14-2x+y^2	$4 x + 3 y^{2} - 7 z^{3} + 5 z^{2} + 14 - 2 x + y^{2}$
34464	Simplify	(x^ay^(b-1))/(x^(a-1)y^b)	$\frac{x^{a} y^{b - 1}}{x^{a - 1} y^{b}}$
34465	Solve for v	-0.5v+0.3=-0.8v	$- 0.5 v + 0.3 = - 0.8 v$
34466	Simplify	5/(6ab)+(3b^2)/(14a^3)	$\frac{5}{6 a b} + \frac{3 b^{2}}{14 a^{3}}$
34467	Find the Asymptotes	y=(x^2-9)/(2x^2+5x-3)	$y = \frac{x^{2} - 9}{2 x^{2} + 5 x - 3}$
34468	Solve for z	15>-5+z	$15 > - 5 + z$
34469	Solve the System of Inequalities	x<3 and x>-3	$x < 3$ and $x > - 3$
34470	Evaluate	((3x)^12)/((3x)^4)	$\frac{{(3 x)}^{12}}{{(3 x)}^{4}}$
34471	Multiply	(7a)(3ab)-4a^2b	$(7 a) (3 a b) - 4 a^{2} b$
34472	Find the Domain and Range	f(x) = cube root of 3x^2-x	$f (x) = \sqrt[3]{3 x^{2} - x}$
34473	Integrate Using u-Substitution	integral from 0 to 1/6 of 1/( square root of 1-9x^2) with respect to x	$\int_{0}^{\frac{1}{6}} \frac{1}{\sqrt{1 - 9 x^{2}}} d x$
34474	Simplify	m^2n fifth root of m^5n^12	$m^{2} n \sqrt[5]{m^{5} n^{12}}$
34475	Find the Derivative - d/dx	e^(-3x)-4x+50	$e^{- 3 x} - 4 x + 50$
34476	Evaluate	e^(3x+6)=8	$e^{3 x + 6} = 8$
34477	Simplify the Radical Expression	( square root of 125)÷( square root of 5)	$\sqrt{125} \div \sqrt{5}$
34478	Find the Product	x^5x^4x^3	$x^{5} \cdot x^{4} \cdot x^{3}$
34479	Write with Rational (Fractional) Exponents	cube root of 5+ fifth root of 5	$\sqrt[3]{5} + \sqrt[5]{5}$
34480	Subtract	6 cube root of 3-2 cube root of 3	$6 \sqrt[3]{3} - 2 \sqrt[3]{3}$
34481	Find the x and y Intercepts	-1/2x+3y=-3	$- \frac{1}{2} x + 3 y = - 3$
34482	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+5x^2+13x+3 is divided by 4x+1	Use the long division method to find the result when $4 x^{3} + 5 x^{2} + 13 x + 3$ is divided by $4 x + 1$
34483	Solve for x	5(x-a)-3=-12a-(x-4)	$5 (x - a) - 3 = - 12 a - (x - 4)$
34484	Simplify	i^5-4+(2-4i)(-3+5i)	$i^{5} - 4 + (2 - 4 i) (- 3 + 5 i)$
34485	Graph	y=x^3+x^2+2	$y = x^{3} + x^{2} + 2$
34486	Find the Third Term	a_n=((n+2)!)/(n+2)	$a_{n} = \frac{(n + 2)!}{n + 2}$
34487	Evaluate	(4-3)(1-(3+5))*5	$(4 - 3) (1 - (3 + 5)) \times 5$
34488	Solve for n	8n+12=7n+n-14	$8 n + 12 = 7 n + n - 14$
34489	Solve by Graphing	x-3y=6 y=2x+3	$x - 3 y = 6$ $y = 2 x + 3$
34490	Find the Exact Value	sec(pi/3)+2csc(pi/6)	$\sec (\frac{π}{3}) + 2 \csc (\frac{π}{6})$
34491	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-x^2-20x+3 is divided by x+3	Use synthetic division to find the result when $2 x^{3} - x^{2} - 20 x + 3$ is divided by $x + 3$
34492	Simplify	limit as x approaches 2 of (x^5-32)/(x^2+3x-10)	$lim_{x \to 2} \frac{x^{5} - 32}{x^{2} + 3 x - 10}$
34493	Evaluate the Integral	integral from -2 to 2 of (\|x-1\|+2) with respect to x	$\int_{- 2}^{2} (\| x - 1 \| + 2) d x$
34494	Solve for x	(-3,-2) and (x,6) , m=2	$(- 3, - 2)$ and $(x, 6)$ , $m = 2$
34495	Solve by Graphing	2x-y=23 x-9=-1	$2 x - y = 23$ $x - 9 = - 1$
34496	Solve for n	4 less than a number n is -15	$4$ less than a number $n$ is $- 15$
34497	Find the Derivative - d/dx	y=2e^x-x+5sin(x)-12	$y = 2 e^{x} - x + 5 \sin (x) - 12$
34498	Divide	3x-1÷6x^4+x^3+8x^2+9x-4	$3 x - 1 \div 6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4$
34499	Write in Slope-Intercept Form	10(x+3/5)=2y	$10 (x + \frac{3}{5}) = 2 y$
34500	Graph	y=-2(x^2+1)	$y = - 2 (x^{2} + 1)$