Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
160601	Solve for m	K=(mv^2)/2	$K = \frac{m v^{2}}{2}$
160602	Solve the System of Inequalities	3x-8<=23 OR -4x+26>=6	$3 x - 8 \leq 23$ OR $- 4 x + 26 \geq 6$
160603	Solve for x	9^6=x^3*9^3	$9^{6} = x^{3} \cdot 9^{3}$
160604	Divide	(5x^2+x+7)/x	$\frac{5 x^{2} + x + 7}{x}$
160605	Find the Exact Value	square root of -4	$\sqrt{- 4}$
160606	Solve the Inequality for x	-12x+13>-16x-7	$- 12 x + 13 > - 16 x - 7$
160607	Solve the Inequality for x	-18<9x	$- 18 < 9 x$
160608	Simplify	square root of 5-5 square root of 13-8 square root of 5	$\sqrt{5} - 5 \sqrt{13} - 8 \sqrt{5}$
160609	Solve for x	1+1/(x+3)=-x/(x+3)	$1 + \frac{1}{x + 3} = - \frac{x}{x + 3}$
160610	Graph	f(x)=-1/4(x-1)^2+4	$f (x) = - \frac{1}{4} {(x - 1)}^{2} + 4$
160611	Solve for a	(b+3f)a=g	$(b + 3 f) a = g$
160612	Simplify	((t^2-36)/3)÷((t^2+6t)/(9t))	$\frac{t^{2} - 36}{3} \div \frac{t^{2} + 6 t}{9 t}$
160613	Solve the System of Inequalities	24>-3r>=-9	$24 > - 3 r \geq - 9$
160614	Solve for q	0=4+q	$0 = 4 + q$
160615	Solve the Inequality for x	3(x-2)<2(x+9)	$3 (x - 2) < 2 (x + 9)$
160616	Find the Roots (Zeros)	p(x)=(2x^2+7x+5)(x-3)	$p (x) = (2 x^{2} + 7 x + 5) (x - 3)$
160617	Simplify	(-8 square root of 2)(1/2 square root of 32)	$(- 8 \sqrt{2}) (\frac{1}{2} \sqrt{32})$
160618	Find the Holes in the Graph	f(x)=(5x-20)/(x^2-9x+20)	$f (x) = \frac{5 x - 20}{x^{2} - 9 x + 20}$
160619	Solve the System of Inequalities	-6<3n+9<21	$- 6 < 3 n + 9 < 21$
160620	Find the Exact Value	cube root of 16	$\sqrt[3]{16}$
160621	Solve the Inequality for x	3/4(x+8)>1/2(2x+10)	$\frac{3}{4} (x + 8) > \frac{1}{2} (2 x + 10)$
160622	Solve for a	13=3-5/6a	$13 = 3 - \frac{5}{6} a$
160623	Graph	y^2+8x-6y+25=0	$y^{2} + 8 x - 6 y + 25 = 0$
160624	Solve for a	ab=d	$a b = d$
160625	Find the First Term	2n+1	$2 n + 1$
160626	Evaluate	1/4(-4^3+10^2)	$\frac{1}{4} (- 4^{3} + 10^{2})$
160627	Solve for x	2^x=0	$2^{x} = 0$
160628	Solve the Inequality for b	-138>=-6(6b-7)	$- 138 \geq - 6 (6 b - 7)$
160629	Solve Using the Quadratic Formula	2/x-(x+1)/5=-4/5	$\frac{2}{x} - \frac{x + 1}{5} = - \frac{4}{5}$
160630	Solve for h	1/5+4h=1/3	$\frac{1}{5} + 4 h = \frac{1}{3}$
160631	Solve Using the Quadratic Formula	w(w-10)+40=0	$w (w - 10) + 40 = 0$
160632	Factor	27-27x+9x^2-x^3	$27 - 27 x + 9 x^{2} - x^{3}$
160633	Solve for b	32=8+1/4b	$32 = 8 + \frac{1}{4} b$
160634	Simplify	(xy^7)/(x^3y^4)	$\frac{x y^{7}}{x^{3} y^{4}}$
160635	Factor	x(2a+b+c)-2a-b-c	$x (2 a + b + c) - 2 a - b - c$
160636	Divide	2 1/2÷(1/2)	$2 \frac{1}{2} \div \frac{1}{2}$
160637	Solve for b	5=f+b	$5 = f + b$
160638	Solve the Rational Equation for x	2/x-3/(2x)=1/5	$\frac{2}{x} - \frac{3}{2 x} = \frac{1}{5}$
160639	Graph	f(x)=a*b^x	$f (x) = a \cdot b^{x}$
160640	Simplify	2 square root of 3*3 square root of 8	$2 \sqrt{3} \cdot 3 \sqrt{8}$
160641	Evaluate	cos(75 degrees )	$\cos (75 °)$
160642	Simplify	4xy-6xy+5y-9x	$4 x y - 6 x y + 5 y - 9 x$
160643	Simplify	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
160644	Solve the Inequality for c	10c+5<=45	$10 c + 5 \leq 45$
160645	Solve the Inequality for x	15<-5x	$15 < - 5 x$
160646	Simplify	Simplify (x^2+2x)/(x^2(x+2))	Simplify $\frac{x^{2} + 2 x}{x^{2} (x + 2)}$
160647	Evaluate	(1-x)^2	${(1 - x)}^{2}$
160648	Factor	16m^4-25m^2n^2+9n^4	$16 m^{4} - 25 m^{2} n^{2} + 9 n^{4}$
160649	Solve for a	u+ka=ba	$u + k a = b a$
160650	Evaluate	(x^2-1)^2	${(x^{2} - 1)}^{2}$
160651	Find the x and y Intercepts	f(x)=(x^2-1)/(x^2+x)	$f (x) = \frac{x^{2} - 1}{x^{2} + x}$
160652	Solve for a	f=-b+a	$f = - b + a$
160653	Graph	g(x)=-1/2f(x+2)	$g (x) = - \frac{1}{2} f (x + 2)$
160654	Solve for h	(x-h)^2+(y-k)^2=r^2	${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$
160655	Factor	a^2b^2c^2-a^2c^2x^2+a^2c^2y^2	$a^{2} b^{2} c^{2} - a^{2} c^{2} x^{2} + a^{2} c^{2} y^{2}$
160656	Simplify	-t(-4t^3+8t^2)	$- t (- 4 t^{3} + 8 t^{2})$
160657	Graph	F(x)=6*(1/3)^x	$F (x) = 6 \cdot {(\frac{1}{3})}^{x}$
160658	Convert to Radical Form	(2^8)/(2^4)	$\frac{2^{8}}{2^{4}}$
160659	Solve for x	kx+12=3kx	$k x + 12 = 3 k x$
160660	Solve for x	7/(5x-6)=2/(2x-5)	$\frac{7}{5 x - 6} = \frac{2}{2 x - 5}$
160661	Write in Standard Form	(x+5)(x+9)=20	$(x + 5) (x + 9) = 20$
160662	Solve for b	b/d=6	$\frac{b}{d} = 6$
160663	Evaluate	-2/3p+1/5-1+5/6p	$- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$
160664	Solve the Inequality for x	7x^2+21x-28<0	$7 x^{2} + 21 x - 28 < 0$
160665	Solve for F	G-H=nF	$G - H = n F$
160666	Solve for x	log of x+1- log of x-8 = log of 10	$\log (x + 1) - \log (x - 8) = \log (10)$
160667	Factor	a^6-3a^4+8a^3-4a^2	$a^{6} - 3 a^{4} + 8 a^{3} - 4 a^{2}$
160668	Solve for b	nb=f+G	$n b = f + G$
160669	Simplify	square root of 6(1- square root of 5)^2	$\sqrt{6 {(1 - \sqrt{5})}^{2}}$
160670	Solve for x	5-2(1-x)=2x-3	$5 - 2 (1 - x) = 2 x - 3$
160671	Solve for x	-9-8x=-2(7+4x)	$- 9 - 8 x = - 2 (7 + 4 x)$
160672	Graph	x+2y=-5 and -2x+y=3	$x + 2 y = - 5$ and $- 2 x + y = 3$
160673	Find the Roots (Zeros)	p(x)=(x^2-1)(x^2-5x+6)	$p (x) = (x^{2} - 1) (x^{2} - 5 x + 6)$
160674	Solve for a	m=a/(d-5H)	$m = \frac{a}{d - 5 H}$
160675	Simplify	((3x^2-27x)/(2x^2+13x-7))÷((3x)/(4x^2-1))	$\frac{3 x^{2} - 27 x}{2 x^{2} + 13 x - 7} \div \frac{3 x}{4 x^{2} - 1}$
160676	Simplify	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
160677	Simplify	((x-5)^(3/2))^(2/3)	${({(x - 5)}^{\frac{3}{2}})}^{\frac{2}{3}}$
160678	Solve for y	75-3.5y-4y=4y+6	$75 - 3.5 y - 4 y = 4 y + 6$
160679	Factor by Grouping	3m-2n-2nx^4+3mx^4	$3 m - 2 n - 2 n x^{4} + 3 m x^{4}$
160680	Simplify	(2x^3+4x^5)^2	${(2 x^{3} + 4 x^{5})}^{2}$
160681	Divide	(3x^3+x-11)/(x+1)	$\frac{3 x^{3} + x - 11}{x + 1}$
160682	Divide	(x^3+6x^2-5x)/(x-2)	$\frac{x^{3} + 6 x^{2} - 5 x}{x - 2}$
160683	Find the Exact Value	1/( square root of 3)	$\frac{1}{\sqrt{3}}$
160684	Solve for x	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
160685	Solve for a	h=-9+a	$h = - 9 + a$
160686	Simplify	-3x-6+(-1)	$- 3 x - 6 + (- 1)$
160687	Evaluate	(x+y)(x-y)	$(x + y) (x - y)$
160688	Find the Exact Value	8^(2/3)	$8^{\frac{2}{3}}$
160689	Evaluate	1/2(1)^2	$\frac{1}{2} {(1)}^{2}$
160690	Solve for d	d/F=j	$\frac{d}{F} = j$
160691	Solve Over the Interval	[cos(theta)^2+2cos(theta)+1]=[0] , [if*0]<=theta<=[2pi]	$[\cos^{2} (θ) + 2 \cos (θ) + 1] = [0]$ , $[i f \cdot 0] \leq θ \leq [2 π]$
160692	Simplify	square root of (x-3)^2-8(x-3)	$\sqrt{{(x - 3)}^{2} - 8 (x - 3)}$
160693	Solve for g	2q=(H+n)g	$2 q = (H + n) g$
160694	Graph	(2x^2)/25+((y-3)^2)/49=1	$\frac{2 x^{2}}{25} + \frac{{(y - 3)}^{2}}{49} = 1$
160695	Solve the Inequality for q	11q+5<=49	$11 q + 5 \leq 49$
160696	Solve for x	1/2(6+x)=x+4	$\frac{1}{2} (6 + x) = x + 4$
160697	Solve the Inequality for x	\|x\|<5	$\| x \| < 5$
160698	Graph	g(x)=2f(x-1)	$g (x) = 2 f (x - 1)$
160699	Solve for a	n=-g+a	$n = - g + a$
160700	Simplify	(4+2i)+(-12-2i)	$(4 + 2 i) + (- 12 - 2 i)$