Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226601	Simplify	6x-4+3(2x-3y+9)	$6 x - 4 + 3 (2 x - 3 y + 9)$
226602	Find the Quotient	(x^3+x^2-x-1)÷(x^2+2x+1)	$(x^{3} + x^{2} - x - 1) \div (x^{2} + 2 x + 1)$
226603	Write the Fraction in Simplest Form	(1/( square root of x+h)-1/( square root of x))/h	$\frac{\frac{1}{\sqrt{x + h}} - \frac{1}{\sqrt{x}}}{h}$
226604	Solve the System of Equations	1/2x+1/4y=-7 -2/3x+1/2y=11	$\frac{1}{2} x + \frac{1}{4} y = - 7$ $- \frac{2}{3} x + \frac{1}{2} y = 11$
226605	Solve for x	x/2+2=-3x+9	$\frac{x}{2} + 2 = - 3 x + 9$
226606	Simplify	(7z^3)^-2y	${(7 z^{3})}^{- 2} y$
226607	Divide	(6 fourth root of 3)÷2 fourth root of 243	$6 \sqrt[4]{3} \div 2 \sqrt[4]{243}$
226608	Solve for x	39=7+5x-2(x-1)	$39 = 7 + 5 x - 2 (x - 1)$
226609	Solve for n	120% of what number is 102 ?	$120 %$ of what number is $102$ ?
226610	Evaluate	(48x-6+3y)/3	$\frac{48 x - 6 + 3 y}{3}$
226611	Solve the System of Inequalities	y>1/3x+3 y<-x-5	$y > \frac{1}{3} x + 3$ $y < - x - 5$
226612	Evaluate the Function	f(3)=4/5x-2	$f (3) = \frac{4}{5} x - 2$
226613	Factor	4x^3+12x^2-40x=0	$4 x^{3} + 12 x^{2} - 40 x = 0$
226614	Simplify	1/(2+5i)-(4+3i)/(3-i)	$\frac{1}{2 + 5 i} - \frac{4 + 3 i}{3 - i}$
226615	Simplify	(p^2+2p-51)/(p^2-6p-27)-4/(p+3)	$\frac{p^{2} + 2 p - 51}{p^{2} - 6 p - 27} - \frac{4}{p + 3}$
226616	Simplify	-(4c^12d^5)/(20c^4d)	$- \frac{4 c^{12} d^{5}}{20 c^{4} d}$
226617	Simplify	( square root of 2- square root of 8)/(2 square root of 2-1)	$\frac{\sqrt{2} - \sqrt{8}}{2 \sqrt{2} - 1}$
226618	Solve for x	3x^(-3/2)+40=121	$3 x^{- \frac{3}{2}} + 40 = 121$
226619	Solve by Factoring	3x^3+6x^2-24x=ax(x+b)(x+c)	$3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)$
226620	Evaluate	5/34*22 2/3-2 1/9	$\frac{5}{34} \cdot 22 \frac{2}{3} - 2 \frac{1}{9}$
226621	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 $x + 3$
226622	Simplify the Radical Expression	fifth root of (9x^11y^2)/(32xy^7)	$\sqrt[5]{\frac{9 x^{11} y^{2}}{32 x y^{7}}}$
226623	Find the Product	(a^2)(2a^3)(a^2-8a+9)	$(a^{2}) (2 a^{3}) (a^{2} - 8 a + 9)$
226624	Solve the Inequality for d	15>=5/3(d-6)	$15 \geq \frac{5}{3} (d - 6)$
226625	Solve the Inequality for x	4x-1/3<=1+x/6	$4 x - \frac{1}{3} \leq 1 + \frac{x}{6}$
226626	Solve for x	x^2-6x+7=-2	$x^{2} - 6 x + 7 = - 2$
226627	Simplify	((x-1)+x^2)((x-1)-x^2)	$((x - 1) + x^{2}) ((x - 1) - x^{2})$
226628	Solve the System of Inequalities	X/4+4<3 or -x+2<2	$\frac{X}{4} + 4 < 3$ or $- x + 2 < 2$
226629	Multiply	2^2*4^2	$2^{2} \cdot 4^{2}$
226630	Solve for x	13e^(x^2+3)=39	$13 e^{x^{2} + 3} = 39$
226631	Find the Quotient	(6x^3+x-1)÷(x+2)	$(6 x^{3} + x - 1) \div (x + 2)$
226632	Solve the System of Equations	-x+7y=12 and 6x-8y=-4	$- x + 7 y = 12$ and $6 x - 8 y = - 4$
226633	Solve for t	2/(3-t)+1/(3+t)+1/(9-t^2)=0	$\frac{2}{3 - t} + \frac{1}{3 + t} + \frac{1}{9 - t^{2}} = 0$
226634	Solve for x	sin(x)^2+sin(x)-2=0	$\sin^{2} (x) + \sin (x) - 2 = 0$
226635	Solve for z	square root of z+9=0	$\sqrt{z} + 9 = 0$
226636	Solve for r	3-r/8=-9/2	$3 - \frac{r}{8} = - \frac{9}{2}$
226637	Simplify	((x^2-10x+24)/(x^2+x-42)*(x^2-49)/(x^2-11x+28))÷((3x^2-147)/(x^2-49))	$\frac{x^{2} - 10 x + 24}{x^{2} + x - 42} \cdot \frac{x^{2} - 49}{x^{2} - 11 x + 28} \div \frac{3 x^{2} - 147}{x^{2} - 49}$
226638	Solve for n	-10-n^3=-88	$- 10 - n^{3} = - 88$
226639	Simplify	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{(a^{2} + b^{2})}{a^{3} + b^{3}} - \frac{1}{a + b}$
226640	Solve for s	5s+3<s+7	$5 s + 3 < s + 7$
226641	Solve the System of Equations	x-3y=-14 and -3x-7y=10	$x - 3 y = - 14$ and $- 3 x - 7 y = 10$
226642	Convert to a Decimal	0.8 repeating	$0.8$ repeating
226643	Evaluate	90/360*pi(2)^2	$\frac{90}{360} \cdot π {(2)}^{2}$
226644	Solve for z	z/2-3/5=-2/3z+1/6	$\frac{z}{2} - \frac{3}{5} = - \frac{2}{3} z + \frac{1}{6}$
226645	Evaluate	4x+2x+2=3x-7	$4 x + 2 x + 2 = 3 x - 7$
226646	Graph	12x-5y<-30 12x-5y>35	$12 x - 5 y < - 30$ $12 x - 5 y > 35$
226647	Find the Holes in the Graph	y=3/(x+2)	$y = \frac{3}{x + 2}$
226648	Solve the Inequality for x	x/(x-2)>=0	$\frac{x}{x - 2} \geq 0$
226649	Find All Complex Solutions	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
226650	Evaluate	(x+a)^2+5(x+a)+4	${(x + a)}^{2} + 5 (x + a) + 4$
226651	Simplify	8/(7v-6)+4/(3v^2)	$\frac{8}{7 v - 6} + \frac{4}{3 v^{2}}$
226652	Simplify	w/(4^-2)	$\frac{w}{4^{- 2}}$
226653	Simplify	((3-4i)/5)-1	$(\frac{3 - 4 i}{5}) - 1$
226654	Simplify	((6x^3)^2)/((2x^2)^3)*(3x^2)^0	$\frac{{(6 x^{3})}^{2}}{{(2 x^{2})}^{3}} \cdot {(3 x^{2})}^{0}$
226655	Write in Standard Form	4x^4+8x^2+1-3x	$4 x^{4} + 8 x^{2} + 1 - 3 x$
226656	Solve for x	7=3(5+x)	$7 = 3 (5 + x)$
226657	Evaluate the Function	Evaluate f(x)=3(2)^x for x=-1	Evaluate $f (x) = 3 {(2)}^{x}$ for $x = - 1$
226658	Simplify	(3x^2y^(3/2))/(xy^(1/2))	$\frac{3 x^{2} y^{\frac{3}{2}}}{x y^{\frac{1}{2}}}$
226659	Solve the Inequality for p	\|9p-5\|=2p	$\| 9 p - 5 \| = 2 p$
226660	Simplify	(2x+y-4z)^2	${(2 x + y - 4 z)}^{2}$
226661	Solve by Factoring	n^2-1+6n=6n	$n^{2} - 1 + 6 n = 6 n$
226662	Solve for x	(x)=\|x\|	$(x) = \| x \|$
226663	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 $x - 3$
226664	Simplify	(9(y+2))÷3*2+1	$9 (y + 2) \div 3 \cdot 2 + 1$
226665	Simplify	(8x^2-24x)/(-4x)	$\frac{8 x^{2} - 24 x}{- 4 x}$
226666	Simplify	2(x+2)^2-8	$2 {(x + 2)}^{2} - 8$
226667	Simplify	(n^2)/( square root of 9n^11)	$\frac{n^{2}}{\sqrt{9 n^{11}}}$
226668	Solve for y	y-2 = square root of 2y+20	$y - 2 = \sqrt{2 y + 20}$
226669	Solve the Rational Equation for x	-(2x)/(x-2)+5=-4/(x-2)	$- \frac{2 x}{x - 2} + 5 = - \frac{4}{x - 2}$
226670	Solve for x	\|x-4\|=\|3x\|	$\| x - 4 \| = \| 3 x \|$
226671	Evaluate	-(1/41/41/4*1/4)	$- (\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4})$
226672	Simplify	- square root of (1+cos(7A))/2	$- \sqrt{\frac{1 + \cos (7 A)}{2}}$
226673	Simplify	(p^3)(2p^2-4p)(3p^2-1) ?	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$ ?
226674	Evaluate	i^3=(i^2)i	$i^{3} = (i^{2}) i$
226675	Simplify	(0.005w)^0abc	${(0.005 w)}^{0} a b c$
226676	Find the Exact Value	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
226677	Simplify	square root of 2a* square root of 14a^3* square root of 5a	$\sqrt{2 a \cdot \sqrt{14 a^{3}} \cdot \sqrt{5 a}}$
226678	Rationalize the Denominator	(x-y)/( square root of x- square root of y)	$\frac{x - y}{\sqrt{x} - \sqrt{y}}$
226679	Simplify	9m+3+m-3+5m	$9 m + 3 + m - 3 + 5 m$
226680	Solve by Substitution	-v+w=7 v+w=1	$- v + w = 7$ $v + w = 1$
226681	Solve the System of Equations	1/2x+3/5y=2 1/6x-1/3y=-2	$\frac{1}{2} x + \frac{3}{5} y = 2$ $\frac{1}{6} x - \frac{1}{3} y = - 2$
226682	Solve the Inequality for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
226683	Solve the System of Inequalities	y<=x+10 y>6x+2	$y \leq x + 10$ $y > 6 x + 2$
226684	Simplify	((x^2-3x-10)/(2x^2-11x+5))÷((x^2-5x+6)/(2x^2-7x+3))	$\frac{x^{2} - 3 x - 10}{2 x^{2} - 11 x + 5} \div \frac{x^{2} - 5 x + 6}{2 x^{2} - 7 x + 3}$
226685	Solve for x	1/(sin(x)^2)=4	$\frac{1}{\sin^{2} (x)} = 4$
226686	Simplify the Radical Expression	cube root of 3/(5a^4)	$\sqrt[3]{\frac{3}{5 a^{4}}}$
226687	Simplify	5/(2-x)-4/x	$\frac{5}{2 - x} - \frac{4}{x}$
226688	Simplify	Find (x+10)^2	Find ${(x + 10)}^{2}$
226689	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^4+4x-9 square root of x+3x^2-8	$f (x) = 2 x^{4} + 4 x - 9 \sqrt{x} + 3 x^{2} - 8$
226690	Solve for x	(x)+(x+3)+(x-2)+3(x+3)-1=87	$(x) + (x + 3) + (x - 2) + 3 (x + 3) - 1 = 87$
226691	Divide Using Long Polynomial Division	(2x^3+7)/x	$\frac{2 x^{3} + 7}{x}$
226692	Solve the System of Equations	3x+2y=13 3x+2y+z=13 2x+y+3z=9	$3 x + 2 y = 13$ $3 x + 2 y + z = 13$ $2 x + y + 3 z = 9$
226693	Graph	F(x)=-12/(x^2+8x+12)	$F (x) = \frac{- 12}{x^{2} + 8 x + 12}$
226694	Solve for A	square root of A=6	$\sqrt{A} = 6$
226695	Solve for x	y=6(x-a)	$y = 6 (x - a)$
226696	Solve for m	cube root of 5m+2=9	$\sqrt[3]{5 m + 2} = 9$
226697	Evaluate	185/100+50%+4%	$\frac{185}{100} + 50 % + 4 %$
226698	Simplify	(2x+3)/(x+4)+(x-1)/(x^2+2x-8)	$\frac{2 x + 3}{x + 4} + \frac{x - 1}{x^{2} + 2 x - 8}$
226699	Evaluate Using the Given Value	(a-(2a-1)/a)/((1-a)/(3a)) if a=-1.5	$\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}$ if $a = - 1.5$
226700	Solve the Inequality for x	2-10x>5-4(3-2x)	$2 - 10 x > 5 - 4 (3 - 2 x)$