Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175701	Solve the Inequality for x	x^4>9x^2	$x^{4} > 9 x^{2}$
175702	Graph	-x^3+4x	$- x^{3} + 4 x$
175703	Solve the Inequality for k	2k-9<=-19	$2 k - 9 \leq - 19$
175704	Solve for y	6y- square root of 2y^2-1=7y-2	$6 y - \sqrt{2 y^{2} - 1} = 7 y - 2$
175705	Evaluate	2*7-10/(9-4)	$2 \times 7 - \frac{10}{9 - 4}$
175706	Solve for x	36x^2-49/64=0	$36 x^{2} - \frac{49}{64} = 0$
175707	Solve the System of Equations	y=9x y=2x	$y = 9 x$ $y = 2 x$
175708	Solve for q	5q+6=2q-2+q	$5 q + 6 = 2 q - 2 + q$
175709	Solve for x	1/(x^2)-1/(2x^2)=-1/x	$\frac{1}{x^{2}} - \frac{1}{2 x^{2}} = - \frac{1}{x}$
175710	Solve for b	16+8b>=50	$16 + 8 b \geq 50$
175711	Graph	p(x)=(2x-1)^3(x-2)^2	$p (x) = {(2 x - 1)}^{3} {(x - 2)}^{2}$
175712	Find All Complex Solutions	2+2sin(theta)=4cos(theta)^2	$2 + 2 \sin (θ) = 4 \cos^{2} (θ)$
175713	Simplify	4n(3n^2+n-4)-n(3-n)	$4 n (3 n^{2} + n - 4) - n (3 - n)$
175714	Evaluate	1*(-4+(-8))	$1 \cdot (- 4 + (- 8))$
175715	Simplify	6(x^17)^(1/6)*(8x)^(2/3)	$6 {(x^{17})}^{\frac{1}{6}} \cdot {(8 x)}^{\frac{2}{3}}$
175716	Find the Midpoint	(-4,-9) and (4,-1)	$(- 4, - 9)$ and $(4, - 1)$
175717	Simplify	(-2)^4(6x^-3)^-2	${(- 2)}^{4} {(6 x^{- 3})}^{- 2}$
175718	Solve for x	square root of 10x-1 = square root of 3x+1+1	$\sqrt{10 x - 1} = \sqrt{3 x + 1} + 1$
175719	Graph	x+y=3 x+y=-2	$x + y = 3$ $x + y = - 2$
175720	Simplify	(11u^4)/(17u^7v^9)	$\frac{11 u^{4}}{17 u^{7} v^{9}}$
175721	Solve for z	5(2+4z)=85	$5 (2 + 4 z) = 85$
175722	Rationalize the Denominator	a/( sixth root of b^2)	$\frac{a}{\sqrt[6]{b^{2}}}$
175723	Divide	(-2x^4+6x^2-15+3x^3)÷(-x^2+x+2)	$(- 2 x^{4} + 6 x^{2} - 15 + 3 x^{3}) \div (- x^{2} + x + 2)$
175724	Solve for x	(4x)/(x+1)-5/x=4/(x^2+x)	$\frac{4 x}{x + 1} - \frac{5}{x} = \frac{4}{x^{2} + x}$
175725	Simplify	cot(theta)^2*sin(theta)^2	$\cot^{2} (θ) \cdot \sin^{2} (θ)$
175726	Solve for a	((x^5yz^4)^3)/(x^3yz)=x^ay^bz^c	$\frac{{(x^{5} y z^{4})}^{3}}{x^{3} y z} = x^{a} y^{b} z^{c}$
175727	Simplify	(4v^3+3v-8v^4)+(4v-8v^4-7)	$(4 v^{3} + 3 v - 8 v^{4}) + (4 v - 8 v^{4} - 7)$
175728	Find the Excluded Values	(-3n+12)/(84n^2+76n+16)	$\frac{- 3 n + 12}{84 n^{2} + 76 n + 16}$
175729	Solve for n	2n^2-7.5n+7=0	$2 n^{2} - 7.5 n + 7 = 0$
175730	Multiply	1 1/6*9	$1 \frac{1}{6} \times 9$
175731	Evaluate the Function	C(-1)=-4x^2+4x+3	$C (- 1) = - 4 x^{2} + 4 x + 3$
175732	Write in Standard Form	g(x)=3(x+1)(x+3)(x-4)	$g (x) = 3 (x + 1) (x + 3) (x - 4)$
175733	Graph	m/3-3<=-6	$\frac{m}{3} - 3 \leq - 6$
175734	Simplify	cube root of y^2(5 cube root of y+ cube root of y^4-9 cube root of 8y)	$\sqrt[3]{y^{2}} (5 \sqrt[3]{y} + \sqrt[3]{y^{4}} - 9 \sqrt[3]{8 y})$
175735	Graph	y=-2x+1,x<1; -x+2,x>=1	$y = {\begin{cases} - 2 x + 1, x < 1 \\ - x + 2, x \geq 1 \end{cases}$
175736	Evaluate	(4(3x)^2)/((2x)^2)	$\frac{4 {(3 x)}^{2}}{{(2 x)}^{2}}$
175737	Solve for b	x=(-b)/(2a)	$x = \frac{- b}{2 a}$
175738	Find All Complex Solutions	2^(3x+1)=7	$2^{3 x + 1} = 7$
175739	Solve for z	(5z)/3-4=1	$\frac{5 z}{3} - 4 = 1$
175740	Evaluate	2(-3)^2-5-3-2-(-2)^3	$2 {(- 3)}^{2} - 5 \cdot - 3 \cdot - 2 - {(- 2)}^{3}$
175741	Solve for w	-1/2(3/4w-2+3/2w)=-3w	$- \frac{1}{2} (\frac{3}{4} w - 2 + \frac{3}{2} w) = - 3 w$
175742	Solve for y	7y-4=9y+13-4y	$7 y - 4 = 9 y + 13 - 4 y$
175743	Combine Like Terms	z+(z+6)	$z + (z + 6)$
175744	Find All Complex Solutions	square root of x+1+5=x	$\sqrt{x + 1} + 5 = x$
175745	Divide	3x^2y^3-5a^2x^4 entre -3x^2	$3 x^{2} y^{3} - 5 a^{2} x^{4}$ entre $- 3 x^{2}$
175746	Factor	x^4y-4x^2y-5y	$x^{4} y - 4 x^{2} y - 5 y$
175747	Write Using Negative Exponents	1/(x^3)	$\frac{1}{x^{3}}$
175748	Solve for x	a(x+b)+x(b-a)=2b(2a-x)	$a (x + b) + x (b - a) = 2 b (2 a - x)$
175749	Simplify	(3x-2)(2x+1)^2	$(3 x - 2) {(2 x + 1)}^{2}$
175750	Graph	y>=x+3 y<-1/2x+6	$y \geq x + 3$ $y < - \frac{1}{2} x + 6$
175751	Solve the Inequality for p	p/3<-6	$\frac{p}{3} < - 6$
175752	Solve for x	-8(x+5)=-3x-7+x-3	$- 8 (x + 5) = - 3 x - 7 + x - 3$
175753	Evaluate	-19+ cube root of -8	$- 19 + \sqrt[3]{- 8}$
175754	Simplify	(-3r^3s^5)^2-r^6s^10	${(- 3 r^{3} s^{5})}^{2} - r^{6} s^{10}$
175755	Write in Standard Form	-7x+x^2=-3x^2+6	$- 7 x + x^{2} = - 3 x^{2} + 6$
175756	Solve for x	-2(x+4)+6x=4(x-3)	$- 2 (x + 4) + 6 x = 4 (x - 3)$
175757	Find f(g(x))	f(x)=3x+2 , g(x)=2x^2-1	$f (x) = 3 x + 2$ , $g (x) = 2 x^{2} - 1$
175758	Solve for x	2400=7500(10)^(-x)	$2400 = 7500 {(10)}^{- x}$
175759	Simplify	7x square root of 63x^7y^6	$7 x \sqrt{63 x^{7} y^{6}}$
175760	Solve for v	2(v+1)+7=3(v-2)+2v	$2 (v + 1) + 7 = 3 (v - 2) + 2 v$
175761	Solve for v	\|v\|=5	$\| v \| = 5$
175762	Find the Roots (Zeros)	f(x)=(1/4)^(x+2)+3	$f (x) = {(\frac{1}{4})}^{x + 2} + 3$
175763	Simplify	5m-17-5+2m	$5 m - 17 - 5 + 2 m$
175764	Solve for m	(8m+6)/2+6=(10m+5)/7	$\frac{8 m + 6}{2} + 6 = \frac{10 m + 5}{7}$
175765	Solve for s	2/3(1/2s+6)-4(3/2-3/2s)=6s	$\frac{2}{3} (\frac{1}{2} s + 6) - 4 (\frac{3}{2} - \frac{3}{2} s) = 6 s$
175766	Multiply	6/71/75	$\frac{6}{7} \cdot \frac{1}{7} \cdot 5$
175767	Simplify	(3(5/x)+7)/(6(5/x)+2)	$\frac{3 (\frac{5}{x}) + 7}{6 (\frac{5}{x}) + 2}$
175768	Solve for z	(5z-1)^(1/3)-3=1	${(5 z - 1)}^{\frac{1}{3}} - 3 = 1$
175769	Find the Exact Value	1/2-1/4	$\frac{1}{2} - \frac{1}{4}$
175770	Write in Standard Form	y=(x+2)(x-3)	$y = (x + 2) (x - 3)$
175771	Solve by Substitution	x-5y=-11 -6y=x	$x - 5 y = - 11$ $- 6 y = x$
175772	Simplify the Radical Expression	fourth root of 81	$\sqrt[4]{81}$
175773	Simplify	- square root of 81- square root of -25+ square root of 100- square root of -1	$- \sqrt{81} - \sqrt{- 25} + \sqrt{100} - \sqrt{- 1}$
175774	Convert to Interval Notation	6>x	$6 > x$
175775	Simplify	(3/4)÷(1/2)*3/5	$\frac{3}{4} \div \frac{1}{2} \cdot \frac{3}{5}$
175776	Simplify	- square root of 1- square root of -100- square root of 121+ square root of -1	$- \sqrt{1} - \sqrt{- 100} - \sqrt{121} + \sqrt{- 1}$
175777	Find the Perfect Square Trinomial	x^2-6x-9	$x^{2} - 6 x - 9$
175778	Graph	r=3sec(theta)	$r = 3 \sec (θ)$
175779	Solve for x	y=3bx-7x for x	$y = 3 b x - 7 x$ for $x$
175780	Find All Complex Solutions	\|2x-1\|=9	$\| 2 x - 1 \| = 9$
175781	Solve for b	4^(3b-3)=1/16	$4^{3 b - 3} = \frac{1}{16}$
175782	Solve for r	3/(5+r)+r/(r+2)=(r+4)/(r+5)	$\frac{3}{5 + r} + \frac{r}{r + 2} = \frac{r + 4}{r + 5}$
175783	Write in Standard Form	(3x-4)(x^2-5x-1)	$(3 x - 4) (x^{2} - 5 x - 1)$
175784	Solve for r	-3 square root of 5r-1=-9	$- 3 \sqrt{5 r - 1} = - 9$
175785	Solve for g	5(g-2)+g=6(g-4)	$5 (g - 2) + g = 6 (g - 4)$
175786	Find the Equation of the Circle	center (6,8) , r=10	center $(6, 8)$ , $r = 10$
175787	Factor	a^3+a^2-ab^2-b^2	$a^{3} + a^{2} - a b^{2} - b^{2}$
175788	Solve the System of Inequalities	-13>-x-9 or -x-9<=-21	$- 13 > - x - 9$ or $- x - 9 \leq - 21$
175789	Solve the Inequality for x	-6x<=18	$- 6 x \leq 18$
175790	Evaluate	(3!)/(1!(3-1)!)	$\frac{3!}{1! (3 - 1)!}$
175791	Find the Product	(x^2-2x-4)(x^2-3x-5)	$(x^{2} - 2 x - 4) (x^{2} - 3 x - 5)$
175792	Find the Midpoint	(-9,8) and (-4,-2)	$(- 9, 8)$ and $(- 4, - 2)$
175793	Simplify	30i*(-7i-1)	$30 i \cdot (- 7 i - 1)$
175794	Simplify	(24+2i)/(-3+7i)	$\frac{24 + 2 i}{- 3 + 7 i}$
175795	Solve the Inequality for x	-3x-3<=6	$- 3 x - 3 \leq 6$
175796	Find g(f(x))	f(x)=8x and g(x)=x/8	$f (x) = 8 x$ and $g (x) = \frac{x}{8}$
175797	Solve for x	1/7x^2+7/19x=0	$\frac{1}{7} x^{2} + \frac{7}{19} x = 0$
175798	Solve the System of Equations	11x-20y=28 3x+4y=36	$11 x - 20 y = 28$ $3 x + 4 y = 36$
175799	Simplify	square root of 36- square root of -1- square root of 9- square root of -1	$\sqrt{36} - \sqrt{- 1} - \sqrt{9} - \sqrt{- 1}$
175800	Find the x and y Intercepts	f(x)=(x-2)/x	$f (x) = \frac{x - 2}{x}$