Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226601	Find the Product	2pr^2(2pr+5p^2r-15p)	$2 p r^{2} (2 p r + 5 p^{2} r - 15 p)$
226602	Graph	y>=3x-2 y<=-1/2x+3	$y \geq 3 x - 2$ $y \leq - \frac{1}{2} x + 3$
226603	Write in Standard Form	-8-5x^3+4x^5-4x-6	$- 8 - 5 x^{3} + 4 x^{5} - 4 x - 6$
226604	Simplify	4/(x-4)+16/((x-4)^2)	$\frac{4}{x - 4} + \frac{16}{{(x - 4)}^{2}}$
226605	Evaluate	square root of (2- square root of 5)^2+ square root of (2+ square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}} + \sqrt{{(2 + \sqrt{5})}^{2}}$
226606	Simplify the Radical Expression	((6^5)/(9^5))^(-1/5)	${(\frac{6^{5}}{9^{5}})}^{- \frac{1}{5}}$
226607	Solve for x	(1/2x+6)/3=(x-3)/2	$\frac{\frac{1}{2} x + 6}{3} = \frac{x - 3}{2}$
226608	Solve the System of Equations	2x-4y-2z=0 0x+1y+4z=0 3x-6y-3z=0	$2 x - 4 y - 2 z = 0$ $0 x + 1 y + 4 z = 0$ $3 x - 6 y - 3 z = 0$
226609	Simplify the Radical Expression	5/(10- square root of 5)	$\frac{5}{10 - \sqrt{5}}$
226610	Solve for y	(y+1)-4=0	$(y + 1) - 4 = 0$
226611	Divide Using Synthetic Division	-4x^4+102x^2-50 by x-5	$- 4 x^{4} + 102 x^{2} - 50$ by $x - 5$
226612	Solve for x	10-x/6=10	$10 - \frac{x}{6} = 10$
226613	Simplify the Radical Expression	z^(3/4)*z^2	$z^{\frac{3}{4}} \cdot z^{2}$
226614	Simplify	1/2+2/3*5/12	$\frac{1}{2} + \frac{2}{3} \cdot \frac{5}{12}$
226615	Multiply	(-6a^2b)*(1/2ab)	$(- 6 a^{2} b) \cdot (\frac{1}{2} a b)$
226616	Solve the System of Equations	-2x-3y+5z=-6 x+2y-5z=3 -4x+y-5z=8	$- 2 x - 3 y + 5 z = - 6$ $x + 2 y - 5 z = 3$ $- 4 x + y - 5 z = 8$
226617	Simplify	6x-4+3(2x-3y+9)	$6 x - 4 + 3 (2 x - 3 y + 9)$
226618	Find the Quotient	(x^3+x^2-x-1)÷(x^2+2x+1)	$(x^{3} + x^{2} - x - 1) \div (x^{2} + 2 x + 1)$
226619	Write the Fraction in Simplest Form	(1/( square root of x+h)-1/( square root of x))/h	$\frac{\frac{1}{\sqrt{x + h}} - \frac{1}{\sqrt{x}}}{h}$
226620	Solve the System of Equations	1/2x+1/4y=-7 -2/3x+1/2y=11	$\frac{1}{2} x + \frac{1}{4} y = - 7$ $- \frac{2}{3} x + \frac{1}{2} y = 11$
226621	Solve for x	x/2+2=-3x+9	$\frac{x}{2} + 2 = - 3 x + 9$
226622	Simplify	(7z^3)^-2y	${(7 z^{3})}^{- 2} y$
226623	Divide	(6 fourth root of 3)÷2 fourth root of 243	$6 \sqrt[4]{3} \div 2 \sqrt[4]{243}$
226624	Solve for x	39=7+5x-2(x-1)	$39 = 7 + 5 x - 2 (x - 1)$
226625	Solve for n	120% of what number is 102 ?	$120 %$ of what number is $102$ ?
226626	Evaluate	(48x-6+3y)/3	$\frac{48 x - 6 + 3 y}{3}$
226627	Solve the System of Inequalities	y>1/3x+3 y<-x-5	$y > \frac{1}{3} x + 3$ $y < - x - 5$
226628	Evaluate the Function	f(3)=4/5x-2	$f (3) = \frac{4}{5} x - 2$
226629	Factor	4x^3+12x^2-40x=0	$4 x^{3} + 12 x^{2} - 40 x = 0$
226630	Simplify	1/(2+5i)-(4+3i)/(3-i)	$\frac{1}{2 + 5 i} - \frac{4 + 3 i}{3 - i}$
226631	Simplify	(p^2+2p-51)/(p^2-6p-27)-4/(p+3)	$\frac{p^{2} + 2 p - 51}{p^{2} - 6 p - 27} - \frac{4}{p + 3}$
226632	Simplify	-(4c^12d^5)/(20c^4d)	$- \frac{4 c^{12} d^{5}}{20 c^{4} d}$
226633	Simplify	( square root of 2- square root of 8)/(2 square root of 2-1)	$\frac{\sqrt{2} - \sqrt{8}}{2 \sqrt{2} - 1}$
226634	Solve for x	3x^(-3/2)+40=121	$3 x^{- \frac{3}{2}} + 40 = 121$
226635	Solve by Factoring	3x^3+6x^2-24x=ax(x+b)(x+c)	$3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)$
226636	Evaluate	5/34*22 2/3-2 1/9	$\frac{5}{34} \cdot 22 \frac{2}{3} - 2 \frac{1}{9}$
226637	Divide Using Long Polynomial Division	3x^3+16x^2+24x+9 divided by x+3	$3 x^{3} + 16 x^{2} + 24 x + 9$ divided by $x + 3$
226638	Simplify the Radical Expression	fifth root of (9x^11y^2)/(32xy^7)	$\sqrt[5]{\frac{9 x^{11} y^{2}}{32 x y^{7}}}$
226639	Find the Product	(a^2)(2a^3)(a^2-8a+9)	$(a^{2}) (2 a^{3}) (a^{2} - 8 a + 9)$
226640	Solve the Inequality for d	15>=5/3(d-6)	$15 \geq \frac{5}{3} (d - 6)$
226641	Solve the Inequality for x	4x-1/3<=1+x/6	$4 x - \frac{1}{3} \leq 1 + \frac{x}{6}$
226642	Solve for x	x^2-6x+7=-2	$x^{2} - 6 x + 7 = - 2$
226643	Simplify	((x-1)+x^2)((x-1)-x^2)	$((x - 1) + x^{2}) ((x - 1) - x^{2})$
226644	Solve the System of Inequalities	X/4+4<3 or -x+2<2	$\frac{X}{4} + 4 < 3$ or $- x + 2 < 2$
226645	Multiply	2^2*4^2	$2^{2} \cdot 4^{2}$
226646	Solve for x	13e^(x^2+3)=39	$13 e^{x^{2} + 3} = 39$
226647	Find the Quotient	(6x^3+x-1)÷(x+2)	$(6 x^{3} + x - 1) \div (x + 2)$
226648	Solve the System of Equations	-x+7y=12 and 6x-8y=-4	$- x + 7 y = 12$ and $6 x - 8 y = - 4$
226649	Solve for t	2/(3-t)+1/(3+t)+1/(9-t^2)=0	$\frac{2}{3 - t} + \frac{1}{3 + t} + \frac{1}{9 - t^{2}} = 0$
226650	Solve for x	sin(x)^2+sin(x)-2=0	$\sin^{2} (x) + \sin (x) - 2 = 0$
226651	Solve for z	square root of z+9=0	$\sqrt{z} + 9 = 0$
226652	Solve for r	3-r/8=-9/2	$3 - \frac{r}{8} = - \frac{9}{2}$
226653	Simplify	((x^2-10x+24)/(x^2+x-42)*(x^2-49)/(x^2-11x+28))÷((3x^2-147)/(x^2-49))	$\frac{x^{2} - 10 x + 24}{x^{2} + x - 42} \cdot \frac{x^{2} - 49}{x^{2} - 11 x + 28} \div \frac{3 x^{2} - 147}{x^{2} - 49}$
226654	Solve for n	-10-n^3=-88	$- 10 - n^{3} = - 88$
226655	Simplify	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{(a^{2} + b^{2})}{a^{3} + b^{3}} - \frac{1}{a + b}$
226656	Solve for s	5s+3<s+7	$5 s + 3 < s + 7$
226657	Solve the System of Equations	x-3y=-14 and -3x-7y=10	$x - 3 y = - 14$ and $- 3 x - 7 y = 10$
226658	Convert to a Decimal	0.8 repeating	$0.8$ repeating
226659	Evaluate	90/360*pi(2)^2	$\frac{90}{360} \cdot π {(2)}^{2}$
226660	Solve for z	z/2-3/5=-2/3z+1/6	$\frac{z}{2} - \frac{3}{5} = - \frac{2}{3} z + \frac{1}{6}$
226661	Evaluate	4x+2x+2=3x-7	$4 x + 2 x + 2 = 3 x - 7$
226662	Graph	12x-5y<-30 12x-5y>35	$12 x - 5 y < - 30$ $12 x - 5 y > 35$
226663	Find the Holes in the Graph	y=3/(x+2)	$y = \frac{3}{x + 2}$
226664	Solve the Inequality for x	x/(x-2)>=0	$\frac{x}{x - 2} \geq 0$
226665	Find All Complex Solutions	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
226666	Evaluate	(x+a)^2+5(x+a)+4	${(x + a)}^{2} + 5 (x + a) + 4$
226667	Simplify	8/(7v-6)+4/(3v^2)	$\frac{8}{7 v - 6} + \frac{4}{3 v^{2}}$
226668	Simplify	w/(4^-2)	$\frac{w}{4^{- 2}}$
226669	Simplify	((3-4i)/5)-1	$(\frac{3 - 4 i}{5}) - 1$
226670	Simplify	((6x^3)^2)/((2x^2)^3)*(3x^2)^0	$\frac{{(6 x^{3})}^{2}}{{(2 x^{2})}^{3}} \cdot {(3 x^{2})}^{0}$
226671	Write in Standard Form	4x^4+8x^2+1-3x	$4 x^{4} + 8 x^{2} + 1 - 3 x$
226672	Solve for x	7=3(5+x)	$7 = 3 (5 + x)$
226673	Evaluate the Function	Evaluate f(x)=3(2)^x for x=-1	Evaluate $f (x) = 3 {(2)}^{x}$ for $x = - 1$
226674	Simplify	(3x^2y^(3/2))/(xy^(1/2))	$\frac{3 x^{2} y^{\frac{3}{2}}}{x y^{\frac{1}{2}}}$
226675	Solve the Inequality for p	\|9p-5\|=2p	$\| 9 p - 5 \| = 2 p$
226676	Simplify	(2x+y-4z)^2	${(2 x + y - 4 z)}^{2}$
226677	Solve by Factoring	n^2-1+6n=6n	$n^{2} - 1 + 6 n = 6 n$
226678	Solve for x	(x)=\|x\|	$(x) = \| x \|$
226679	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-x^3+x^2-19x-6 is divided by x-3	Use synthetic division to find the result when $x^{4} - x^{3} + x^{2} - 19 x - 6$ is divided by $x - 3$
226680	Simplify	(9(y+2))÷3*2+1	$9 (y + 2) \div 3 \cdot 2 + 1$
226681	Simplify	(8x^2-24x)/(-4x)	$\frac{8 x^{2} - 24 x}{- 4 x}$
226682	Simplify	2(x+2)^2-8	$2 {(x + 2)}^{2} - 8$
226683	Simplify	(n^2)/( square root of 9n^11)	$\frac{n^{2}}{\sqrt{9 n^{11}}}$
226684	Solve for y	y-2 = square root of 2y+20	$y - 2 = \sqrt{2 y + 20}$
226685	Solve the Rational Equation for x	-(2x)/(x-2)+5=-4/(x-2)	$- \frac{2 x}{x - 2} + 5 = - \frac{4}{x - 2}$
226686	Solve for x	\|x-4\|=\|3x\|	$\| x - 4 \| = \| 3 x \|$
226687	Evaluate	-(1/41/41/4*1/4)	$- (\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4})$
226688	Simplify	- square root of (1+cos(7A))/2	$- \sqrt{\frac{1 + \cos (7 A)}{2}}$
226689	Simplify	(p^3)(2p^2-4p)(3p^2-1) ?	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$ ?
226690	Evaluate	i^3=(i^2)i	$i^{3} = (i^{2}) i$
226691	Simplify	(0.005w)^0abc	${(0.005 w)}^{0} a b c$
226692	Find the Exact Value	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
226693	Simplify	square root of 2a* square root of 14a^3* square root of 5a	$\sqrt{2 a \cdot \sqrt{14 a^{3}} \cdot \sqrt{5 a}}$
226694	Rationalize the Denominator	(x-y)/( square root of x- square root of y)	$\frac{x - y}{\sqrt{x} - \sqrt{y}}$
226695	Simplify	9m+3+m-3+5m	$9 m + 3 + m - 3 + 5 m$
226696	Solve by Substitution	-v+w=7 v+w=1	$- v + w = 7$ $v + w = 1$
226697	Solve the System of Equations	1/2x+3/5y=2 1/6x-1/3y=-2	$\frac{1}{2} x + \frac{3}{5} y = 2$ $\frac{1}{6} x - \frac{1}{3} y = - 2$
226698	Solve the Inequality for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
226699	Solve the System of Inequalities	y<=x+10 y>6x+2	$y \leq x + 10$ $y > 6 x + 2$
226700	Simplify	((x^2-3x-10)/(2x^2-11x+5))÷((x^2-5x+6)/(2x^2-7x+3))	$\frac{x^{2} - 3 x - 10}{2 x^{2} - 11 x + 5} \div \frac{x^{2} - 5 x + 6}{2 x^{2} - 7 x + 3}$