Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18601	Verify the Identity	(csc(a)+1)/(csc(a)-1)=(1+sin(a))/(1-sin(a))	$\frac{\csc (a) + 1}{\csc (a) - 1} = \frac{1 + \sin (a)}{1 - \sin (a)}$
18602	Find the Concavity	f(x)=-3/5x^5+7x^4	$f (x) = - \frac{3}{5} x^{5} + 7 x^{4}$
18603	Solve for x	2x^4=162	$2 x^{4} = 162$
18604	Write in Slope-Intercept Form	y+4=4/3x	$y + 4 = \frac{4}{3} x$
18605	Solve for a	R=3 log of a+2+15	$R = 3 \log (a + 2) + 15$
18606	Find the GCF	35x^2y^3z^4 , 42x^2y^4z^4 , 70x^2y^5z^2	$35 x^{2} y^{3} z^{4}$ , $42 x^{2} y^{4} z^{4}$ , $70 x^{2} y^{5} z^{2}$
18607	Solve for n	log base 5 of 625=n-4	$\log_{5} (625) = n - 4$
18608	Write as a Single Logarithm	1/2(4 log of x- log of square root of x^5)+ log of cube root of x^2	$\frac{1}{2} (4 \log (x) - \log (\sqrt{x^{5}})) + \log (\sqrt[3]{x^{2}})$
18609	Write in y=mx+b Form	(-1,6) and (7,-2)	$(- 1, 6)$ and $(7, - 2)$
18610	Solve for x	f(5)=3x^2+2x-1	$f (5) = 3 x^{2} + 2 x - 1$
18611	Evaluate	3d^-4*4d^4	$3 d^{- 4} \cdot 4 d^{4}$
18612	Solve the Function Operation	f(x)=x^2-7x+9 g(x)=-x+4 Find: f(g(x))	$f (x) = x^{2} - 7 x + 9$ $g (x) = - x + 4$ Find: $f (g (x))$
18613	Convert to a Decimal	1.5rad	$1.5$ radians
18614	Solve the Inequality for x	X^2+4x>12	$X^{2} + 4 x > 12$
18615	Simplify	22b+7-12b-5-10b-2	$22 b + 7 - 12 b - 5 - 10 b - 2$
18616	Evaluate	(-6/7)^-1	${(\frac{- 6}{7})}^{- 1}$
18617	Solve for x	250=62.5 cube root of x+75.8	$250 = 62.5 \sqrt[3]{x} + 75.8$
18618	Simplify	-w+6(5w^2-2)-6w^3-1	$- w + 6 (5 w^{2} - 2) - 6 w^{3} - 1$
18619	Graph	f(x)=1+1/2 cube root of 2-x	$f (x) = 1 + \frac{1}{2} \sqrt[3]{2 - x}$
18620	Add	(x-1)/(3x+4)+(2x+9)/(3x+4)	$\frac{x - 1}{3 x + 4} + \frac{2 x + 9}{3 x + 4}$
18621	Simplify the Radical Expression	i^15	$i^{15}$
18622	Find the Derivative - d/dx	1/x+x	$\frac{1}{x} + x$
18623	Solve for x	log base 4 of 3x^2+1- log base 4 of 2x+2=0	$\log_{4} (3 x^{2} + 1) - \log_{4} (2 x + 2) = 0$
18624	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+6x^3-2x^2-3x+2 is divided by x+1	Use synthetic division to find the result when $3 x^{4} + 6 x^{3} - 2 x^{2} - 3 x + 2$ is divided by $x + 1$
18625	Solve Using the Quadratic Formula	-7x=2x^2+9	$- 7 x = 2 x^{2} + 9$
18626	Solve the System of Equations	25x^2+9y^2=225 5x+3y=-15	$25 x^{2} + 9 y^{2} = 225$ $5 x + 3 y = - 15$
18627	Solve the Function Operation	f(x)=(x+5)^2-3 if x!=-3; -4 if x=-3 Find f(-3)	$f (x) = {\begin{cases} {(x + 5)}^{2} - 3 & x \neq - 3 \\ - 4 & x = - 3 \end{cases}$ Find $f (- 3)$
18628	Multiply	(x^2+5x-36)/(x^2-49)*(x^2-11x+28)	$\frac{x^{2} + 5 x - 36}{x^{2} - 49} \cdot (x^{2} - 11 x + 28)$
18629	Simplify	(3/5+3/2i)^2	${(\frac{3}{5} + \frac{3}{2} i)}^{2}$
18630	Evaluate	(32^20-52^19)/((-2^6)^3)	$\frac{(3 \cdot 2^{20} - 5 \cdot 2^{19})}{{(- 2^{6})}^{3}}$
18631	Find the Slope	(-1,6) and (7,-2)	$(- 1, 6)$ and $(7, - 2)$
18632	Solve the Inequality for x	2x^2+3x+1>=3	$2 x^{2} + 3 x + 1 \geq 3$
18633	Write as a Single Logarithm	4 log of 8- log of 10	$4 \log (8) - \log (10)$
18634	Solve the Inequality for p	-3p+2>5	$- 3 p + 2 > 5$
18635	Simplify	( square root of 4x)^2	${(\sqrt{4 x})}^{2}$
18636	Evaluate	3(2x-5)=6x-15	$3 (2 x - 5) = 6 x - 15$
18637	Find All Complex Solutions	3(2x-5)=6x-15	$3 (2 x - 5) = 6 x - 15$
18638	Graph	f(x)=x^2+c,x<0; -x^2+c,x>=0	$f (x) = {\begin{cases} x^{2} + c, x < 0 \\ - x^{2} + c, x \geq 0 \end{cases}$
18639	Evaluate	7+ square root of x=12	$7 + \sqrt{x} = 12$
18640	Solve for x	3(2x-1)=1/2(4x-2)+2	$3 (2 x - 1) = \frac{1}{2} (4 x - 2) + 2$
18641	Solve for x	1/(x+8)+(2x)/(x-2)=(x+2)/(x-2)	$\frac{1}{x + 8} + \frac{2 x}{x - 2} = \frac{x + 2}{x - 2}$
18642	Solve for x	(x+1)/(x-1)=14/20	$\frac{x + 1}{x - 1} = \frac{14}{20}$
18643	Find the Exact Value	(-2(4-1)-(2-5))+1	$(- 2 (4 - 1) - (2 - 5)) + 1$
18644	Graph	(dy)/(dx)=xy	$\frac{d y}{d x} = x y$
18645	Find the Product	x(2x-5)	$x (2 x - 5)$
18646	Solve for v	64=v^3	$64 = v^{3}$
18647	Find the Degree, Leading Term, and Leading Coefficient	2+x	$2 + x$
18648	Solve the Function Operation	f(x)=(x^3)/7 ; find f^-1(x)	$f (x) = \frac{x^{3}}{7}$ ; find $f^{- 1} (x)$
18649	Simplify	5^0*(5^5)/(5^-2)	$5^{0} \cdot \frac{5^{5}}{5^{- 2}}$
18650	Evaluate	e^(2x)+e^x-6=0	$e^{2 x} + e^{x} - 6 = 0$
18651	Simplify	(10a^5b^2)/(2b^7)*(4(a^2)^5)/(b^-4)	$\frac{10 a^{5} b^{2}}{2 b^{7}} \cdot \frac{4 {(a^{2})}^{5}}{b^{- 4}}$
18652	Find the Antiderivative	x^2e^(2x)	$x^{2} e^{2 x}$
18653	Evaluate the Limit	limit as x approaches 2 of (3x^2-6x)/(6x^2+2x)	$lim_{x \to 2} \frac{3 x^{2} - 6 x}{6 x^{2} + 2 x}$
18654	Solve the Inequality for x	((x-1)^2)/((x+1)(x-2))>0	$\frac{{(x - 1)}^{2}}{(x + 1) (x - 2)} > 0$
18655	Factor	3a^2-2b-6a+ab	$3 a^{2} - 2 b - 6 a + a b$
18656	Simplify	((5^2)/(8^2))^(-1/2)	${(\frac{5^{2}}{8^{2}})}^{- \frac{1}{2}}$
18657	Simplify	fourth root of cube root of 64	$\sqrt[4]{\sqrt[3]{64}}$
18658	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-2x^7+5x^4-3x	$h (x) = - 2 x^{7} + 5 x^{4} - 3 x$
18659	Find the LCM	3 and 6	$3$ and $6$
18660	Simplify	Simplify sin(theta)+cos(theta)*cot(theta)	Simplify $\sin (θ) + \cos (θ) \cdot \cot (θ)$
18661	Solve the System of Equations	2x-3y+z=10 -x+y-z=1 5x+y+z=-7	$2 x - 3 y + z = 10$ $- x + y - z = 1$ $5 x + y + z = - 7$
18662	Evaluate	-2*( square root of 14)^2	$- 2 \cdot {(\sqrt{14})}^{2}$
18663	Describe the Transformation	f(x)=\|3x\|-2	$f (x) = \| 3 x \| - 2$
18664	Simplify	1/(h^7*h^3)	$\frac{1}{h^{7} \cdot h^{3}}$
18665	Divide	(-4/3)÷(-12)	$- \frac{4}{3} \div (- 12)$
18666	Solve for x	9+(x+9)/x=(3x+1)/(2x)	$9 + \frac{x + 9}{x} = \frac{3 x + 1}{2 x}$
18667	Simplify	(-5xy^2z^7)^0	${(- 5 x y^{2} z^{7})}^{0}$
18668	Simplify	(4z^3)^2(2z^0)^-2	${(4 z^{3})}^{2} {(2 z^{0})}^{- 2}$
18669	Simplify	3/2-6/(3v(v-5))	$\frac{3}{2} - \frac{6}{3 v (v - 5)}$
18670	Solve the Inequality for x	-5x^2-1<=-9x-3	$- 5 x^{2} - 1 \leq - 9 x - 3$
18671	Graph Using a Table of Values	y=2 cube root of x	$y = 2 \sqrt[3]{x}$
18672	Simplify	4x+9y+3(x+y)	$4 x + 9 y + 3 (x + y)$
18673	Integrate Using u-Substitution	integral from 0 to pi/6 of (sin(t))/(cos(t)^2) with respect to t	$\int_{0}^{\frac{π}{6}} \frac{\sin (t)}{\cos^{2} (t)} d t$
18674	Graph	cos(theta)<0 and sin(theta)<0	$\cos (θ) < 0$ and $\sin (θ) < 0$
18675	Find the Domain and Range	tan(arctan(x))	$\tan (\arctan (x))$
18676	Simplify	cube root of x^2* sixth root of x^5	$\sqrt[3]{x^{2}} \cdot \sqrt[6]{x^{5}}$
18677	Simplify	3(x^2+y)^0	$3 {(x^{2} + y)}^{0}$
18678	Simplify	2x^2-8x-6+9x^2-8	$2 x^{2} - 8 x - 6 + 9 x^{2} - 8$
18679	Simplify	((8^4)/(10^4))^(-1/4)	${(\frac{8^{4}}{10^{4}})}^{\frac{- 1}{4}}$
18680	Expand the Logarithmic Expression	log of (cd^2)/(fg)	$\log (\frac{c d^{2}}{f g})$
18681	Evaluate	fourth root of (7^2)/m=( fourth root of 7^2)/( fourth root of m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
18682	Solve the Inequality for q	2(q-3)+6<=-10	$2 (q - 3) + 6 \leq - 10$
18683	Solve for x	32/(x^2-4x)-1/x=3/(x-4)	$\frac{32}{x^{2} - 4 x} - \frac{1}{x} = \frac{3}{x - 4}$
18684	Solve for x	2=(32^(1/3))(2^(x/3))	$2 = (32^{\frac{1}{3}}) (2^{\frac{x}{3}})$
18685	Simplify	(1+(2i)/n)^2	${(1 + \frac{2 i}{n})}^{2}$
18686	Graph	r=sec(theta)	$r = \sec (θ)$
18687	Solve the Inequality for x	-2(2x-2)+5>-5x-6	$- 2 (2 x - 2) + 5 > - 5 x - 6$
18688	Evaluate	3*(9-(4+2)÷2)	$3 \cdot (9 - (4 + 2) \div 2)$
18689	Simplify	-w^2x^3(3x^5-6w^4y+4w)	$- w^{2} x^{3} (3 x^{5} - 6 w^{4} y + 4 w)$
18690	Evaluate	sin(pi/4)+sin(pi/4)	$\sin (\frac{π}{4}) + \sin (\frac{π}{4})$
18691	Simplify	(x+5)/(x^3-7x^2+12x)	$\frac{x + 5}{x^{3} - 7 x^{2} + 12 x}$
18692	Evaluate	10% of 60	$10 %$ of $60$
18693	Find g(h(x))	g(x)=(2x)^3 and h(x)=( cube root of x)/2	$g (x) = {(2 x)}^{3}$ and $h (x) = \frac{\sqrt[3]{x}}{2}$
18694	Factor	8y^4+x^3y	$8 y^{4} + x^{3} y$
18695	Find the Roots (Zeros)	x^4-4x^3+x^2+12x-12	$x^{4} - 4 x^{3} + x^{2} + 12 x - 12$
18696	Find the Domain and Range	y=3cos(2x-pi)+5	$y = 3 \cos (2 x - π) + 5$
18697	Find All Complex Solutions	square root of 2x+8-6=-4	$\sqrt{2 x + 8} - 6 = - 4$
18698	Solve the Inequality for x	6>x	$6 > x$
18699	Evaluate the Integral	integral from 0 to 1 of (x^11+11^x) with respect to x	$\int_{0}^{1} (x^{11} + 11^{x}) d x$
18700	Evaluate the Integral	integral of (5x^-3-x) with respect to x	$\int (5 x^{- 3} - x) d x$