Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
27701	Simplify	(9-6 square root of 2)/( square root of 30)	$\frac{9 - 6 \sqrt{2}}{\sqrt{30}}$
27702	Find the Integral	2sin(x)^2	$2 \sin^{2} (x)$
27703	Solve for w	fourth root of w=-5	$\sqrt[4]{w} = - 5$
27704	Graph	y>-x y>x	$y > - x$ $y > x$
27705	Solve for x	y=x^2+x	$y = x^{2} + x$
27706	Solve for z	z^6=-64	$z^{6} = - 64$
27707	Find the Antiderivative	f(x)=1-sin(4x)	$f (x) = 1 - \sin (4 x)$
27708	Divide	( square root of 56x^5y^5)/( square root of 7xy)	$\frac{\sqrt{56 x^{5} y^{5}}}{\sqrt{7 x y}}$
27709	Simplify	3^2x^3y^0z^5	$3^{2} x^{3} y^{0} z^{5}$
27710	Divide Using Synthetic Division	(6x^5+5x^4+x^3-3x^2+x)/(3x+1)	$\frac{6 x^{5} + 5 x^{4} + x^{3} - 3 x^{2} + x}{3 x + 1}$
27711	Simplify	1/x+1/(3x)+2/3	$\frac{1}{x} + \frac{1}{3 x} + \frac{2}{3}$
27712	Evaluate Using Summation Formulas	sum from i=1 to 3 of 1/(x_i^2)	$\sum_{i = 1}^{3} \frac{1}{{x_{i}}^{2}}$
27713	Evaluate	(15/16)^60	${(\frac{15}{16})}^{60}$
27714	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-6x^2-3x+8 is divided by x-1	Use synthetic division to find the result when $x^{3} - 6 x^{2} - 3 x + 8$ is divided by $x - 1$
27715	Solve the System of Inequalities	y<=-x-6 y>2x-3	$y \leq - x - 6$ $y > 2 x - 3$
27716	Find the Domain and Range	f(x)=-8\|8x+1\|	$f (x) = - 8 \| 8 x + 1 \|$
27717	Evaluate	2(5/2-3)+6(1/3+5/2)	$2 (\frac{5}{2} - 3) + 6 (\frac{1}{3} + \frac{5}{2})$
27718	Find the Product	cube root of x* square root of 2x	$\sqrt[3]{x} \cdot \sqrt{2 x}$
27719	Graph	f(x)=(1 1/6)^x	$f (x) = {(1 \frac{1}{6})}^{x}$
27720	Evaluate	(a^3)^3*a^-9	${(a^{3})}^{3} \cdot a^{- 9}$
27721	Evaluate	cot(theta)^2(1+tan(theta)^2)	$\cot^{2} (θ) (1 + \tan^{2} (θ))$
27722	Simplify	(x^(1/8)y^(1/4)z^(1/2))^8	${(x^{\frac{1}{8}} y^{\frac{1}{4}} z^{\frac{1}{2}})}^{8}$
27723	Simplify the Radical Expression	- cube root of -48x^5y^6	$- \sqrt[3]{- 48 x^{5} y^{6}}$
27724	Graph	2y<=4x+8	$2 y \leq 4 x + 8$
27725	Simplify the Radical Expression	fourth root of (a^4)/(b^8)	$\sqrt[4]{\frac{a^{4}}{b^{8}}}$
27726	Factor	9x^3-3x^2-3x+1=0	$9 x^{3} - 3 x^{2} - 3 x + 1 = 0$
27727	Multiply	1110987654321	$11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
27728	Evaluate	4 1/21/4+2.51/4+71/21/2	$4 \frac{1}{2} \cdot \frac{1}{4} + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{2} \cdot \frac{1}{2}$
27729	Describe the Transformation	y=x/(x+1)	$y = \frac{x}{x + 1}$
27730	Solve the Inequality for x	6/5(1/3x+1)-1>-x	$\frac{6}{5} (\frac{1}{3} x + 1) - 1 > - x$
27731	Simplify	(m^7n^4p)/(m^3n^3p)	$\frac{m^{7} n^{4} p}{m^{3} n^{3} p}$
27732	Determine the Possible Number of Real Roots	x^4+2x^3-4x^2+x=0	$x^{4} + 2 x^{3} - 4 x^{2} + x = 0$
27733	Find the Antiderivative	1/2e^x	$\frac{1}{2} e^{x}$
27734	Solve for m	-46=21+3m	$- 46 = 21 + 3 m$
27735	Simplify	(3b^-5c^2d^4)^2	${(3 b^{- 5} c^{2} d^{4})}^{2}$
27736	Add	(x+1)/(x^2+6x+9)+(x-4)/(x^2-9)	$\frac{x + 1}{x^{2} + 6 x + 9} + \frac{x - 4}{x^{2} - 9}$
27737	Simplify	2/5a^6bc^3*3/4a^11b^4c^8	$\frac{2}{5} a^{6} b c^{3} \times \frac{3}{4} a^{11} b^{4} c^{8}$
27738	Simplify the Radical Expression	(y^(4/3)*y^(2/3))^(-1/2)	${(y^{\frac{4}{3}} \cdot y^{\frac{2}{3}})}^{- \frac{1}{2}}$
27739	Evaluate	(5^-1)/(5^-2)*5^-3	$\frac{5^{- 1}}{5^{- 2}} \cdot 5^{- 3}$
27740	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,1) and has a slope of 3/4 ?	What is the equation of the line that passes through the point $(8, 1)$ and has a slope of $\frac{3}{4}$ ?
27741	Simplify	(2 square root of 8+3 square root of 5)(7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (7 \sqrt{5})$
27742	Simplify	4 cube root of 25x^5* cube root of 5x	$4 \sqrt[3]{25 x^{5}} \cdot \sqrt[3]{5 x}$
27743	Simplify	(2a-20)/(6a)*(a-9)/(a-10)	$\frac{2 a - 20}{6 a} \cdot \frac{a - 9}{a - 10}$
27744	Simplify the Radical Expression	( cube root of 3)/( square root of 3)	$\frac{\sqrt[3]{3}}{\sqrt{3}}$
27745	Simplify	5+x+3+2x	$5 + x + 3 + 2 x$
27746	Solve Using the Square Root Property	2x^2-20x+50=-128	$2 x^{2} - 20 x + 50 = - 128$
27747	Solve the Inequality for x	-3x^2+39x-126>-6	$- 3 x^{2} + 39 x - 126 > - 6$
27748	Solve for x	sin(90 degrees -x)=-( square root of 3)/2	$\sin (90 ° - x) = - \frac{\sqrt{3}}{2}$
27749	Solve for u	8u+13=7u+5u-11	$8 u + 13 = 7 u + 5 u - 11$
27750	Find the Third Term	a_n=((n+1)!)/((n+2)!)	$a_{n} = \frac{(n + 1)!}{(n + 2)!}$
27751	Find the Domain and Range	f(x)=1/4(x+6)^2	$f (x) = \frac{1}{4} {(x + 6)}^{2}$
27752	Write in Slope-Intercept Form	-1/2x+y-3=0	$- \frac{1}{2} x + y - 3 = 0$
27753	Factor	3a(2+y)+4b(y+2)	$3 a (2 + y) + 4 b (y + 2)$
27754	Solve for q	9(-3q-9)+7=-2(18q-17)	$9 (- 3 q - 9) + 7 = - 2 (18 q - 17)$
27755	Solve for a	a+3/4a=21	$a + \frac{3}{4} a = 21$
27756	Find the Domain and Range	y=-3 cube root of x-1	$y = - 3 \sqrt[3]{x} - 1$
27757	Evaluate the Limit	limit as x approaches -10 of (1/(-9x-3)-1/87)/(1/(-9x-9)-1/81)	$lim_{x \to - 10} \frac{\frac{1}{- 9 x - 3} - \frac{1}{87}}{\frac{1}{- 9 x - 9} - \frac{1}{81}}$
27758	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-5x^2-6-4x	$f (x) = - 5 x^{2} - 6 - 4 x$
27759	Find Amplitude, Period, and Phase Shift	y=3csc(theta/4+5)	$y = 3 \csc (\frac{θ}{4} + 5)$
27760	Find Trig Functions Using Identities	tan(theta)=-1/3 , sin(theta)>0	$\tan (θ) = - \frac{1}{3}$ , $\sin (θ) > 0$
27761	Evaluate the Function	cos(theta)=-5/13 , theta in Quadrant III	$\cos (θ) = - \frac{5}{13}$ , $θ$ in Quadrant $I \cdot I \cdot I$
27762	Factor	r^2-6r-9s^2+9	$r^{2} - 6 r - 9 s^{2} + 9$
27763	Simplify	((3a^-4)/(b^7))^3	${(\frac{3 a^{- 4}}{b^{7}})}^{3}$
27764	Expand Using Sum/Difference Formulas	3(x+5)	$3 (x + 5)$
27765	Find Where Increasing/Decreasing	f(x)=3^(x-2)+1	$f (x) = 3^{x - 2} + 1$
27766	Find the Domain and Range	y=2sin(3x+pi)-1	$y = 2 \sin (3 x + π) - 1$
27767	Solve for r	-1=-3(3r-8)-7	$- 1 = - 3 (3 r - 8) - 7$
27768	Find the Exact Value	e^(-2 natural log of 2)	$e^{- 2 \ln (2)}$
27769	Solve by Substitution	y=x+4 2x-2y=10	$y = x + 4$ $2 x - 2 y = 10$
27770	Evaluate	x+3 = square root of x+33	$x + 3 = \sqrt{x + 33}$
27771	Find the Roots (Zeros)	f(x)=(2x^2+5x-12)/(x+4)	$f (x) = \frac{2 x^{2} + 5 x - 12}{x + 4}$
27772	Add	15+8 square root of 7+ square root of 112	$15 + 8 \sqrt{7} + \sqrt{112}$
27773	Simplify	(x-3)/4+7/4x	$\frac{x - 3}{4} + \frac{7}{4} x$
27774	Simplify	(m^4)/(m^8p)	$\frac{m^{4}}{m^{8} p}$
27775	Simplify	2*( square root of 3)/2	$2 \cdot \frac{\sqrt{3}}{2}$
27776	Simplify the Matrix	log of a+2 log of b-1/2 log of 9c^2 for a , b , c>0	$\log (a) + 2 \log (b) - \frac{1}{2} \log (9 c^{2})$ for $a$ , $b$ , $c > 0$ ?
27777	Solve for p	7p+3w=w-12-3p	$7 p + 3 w = w - 12 - 3 p$
27778	Divide	(6%)÷12	$6 % \div 12$
27779	Simplify the Radical Expression	cube root of -6x^5* cube root of 18x^4	$\sqrt[3]{- 6 x^{5}} \cdot \sqrt[3]{18 x^{4}}$
27780	Evaluate	cube root of ((110^-3)^2(10^410^2))/((10^6)^-1(10)^3)	$\sqrt[3]{\frac{{(1 \times 10^{- 3})}^{2} (10^{4} \times 10^{2})}{{(10^{6})}^{- 1} {(10)}^{3}}}$
27781	Solve the Inequality for g	g/-5<-18	$\frac{g}{- 5} < - 18$
27782	Verify the Identity	(csc(theta)^2)/(csc(theta)^2-1)=sec(theta)^2	$\frac{\csc^{2} (θ)}{\csc^{2} (θ) - 1} = \sec^{2} (θ)$
27783	Simplify	(a^(2/3)b^(1/4)c^(4/5))^60	${(a^{\frac{2}{3}} b^{\frac{1}{4}} c^{\frac{4}{5}})}^{60}$
27784	Evaluate	(1-3((3^4)/4)^-1(3^3)/4)^10	${(1 - 3 \cdot {(\frac{3^{4}}{4})}^{- 1} \cdot \frac{3^{3}}{4})}^{10}$
27785	Find the Exact Value	tan(10 degrees )cot(10 degrees )	$\tan (10 °) \cot (10 °)$
27786	Convert to a Decimal	65deg	$65$ degrees
27787	Find the Asymptotes	g(x)=((x-8)(x+1)(x+3))/((x-2)(x+1))	$g (x) = \frac{(x - 8) (x + 1) (x + 3)}{(x - 2) (x + 1)}$
27788	Graph	y-4/3x=7	$y - \frac{4}{3} x = 7$
27789	Find the Roots (Zeros)	(x+2)	$(x + 2)$
27790	Solve for m	-3/2m=15/16	$- \frac{3}{2} m = \frac{15}{16}$
27791	Find the Antiderivative	f(x)=4xe^(2x)	$f (x) = 4 x e^{2 x}$
27792	Evaluate	2pi*3/2	$2 π \cdot \frac{3}{2}$
27793	Solve by Addition/Elimination	5x-3y=-7/2 8x+3y=10	$5 x - 3 y = - \frac{7}{2}$ $8 x + 3 y = 10$
27794	Solve the Inequality for x	x<=-1/5(-x+2)+2	$x \leq - \frac{1}{5} (- x + 2) + 2$
27795	Find the x and y Intercepts	f(x)=6x^4+x^3-18x^2-3x	$f (x) = 6 x^{4} + x^{3} - 18 x^{2} - 3 x$
27796	Evaluate	5^-3*(5^7)/(5^-7)	$5^{- 3} \cdot \frac{5^{7}}{5^{- 7}}$
27797	Find the Domain	(x(x-1))/5	$\frac{x (x - 1)}{5}$
27798	Solve for x	square root of 10-x^2-x=2	$\sqrt{10 - x^{2}} - x = 2$
27799	Graph	-4y<=16x	$- 4 y \leq 16 x$
27800	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+6x^3+13x^2+16x+12 is divided by x+2	Use synthetic division to find the result when $x^{4} + 6 x^{3} + 13 x^{2} + 16 x + 12$ is divided by $x + 2$