Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200701	Solve for x	1/2-1/(3x)=-4	$\frac{1}{2} - \frac{1}{3 x} = - 4$
200702	Find f(g(x))	f(x)=3x^2 , g(x)=2x^3	$f (x) = 3 x^{2}$ , $g (x) = 2 x^{3}$
200703	Evaluate	11/15+(2/3)÷1 1/2-7/30	$\frac{11}{15} + \frac{2}{3} \div 1 \frac{1}{2} - \frac{7}{30}$
200704	Convert to Radical Form	((m)^(1/3))^(1/4)	${({(m)}^{\frac{1}{3}})}^{\frac{1}{4}}$
200705	Solve by Substitution	8x-1/3y=0 12x+3=y	$8 x - \frac{1}{3} y = 0$ $12 x + 3 = y$
200706	Simplify	(3^-4+5^-3)^-1	${(3^{- 4} + 5^{- 3})}^{- 1}$
200707	Solve for u	6u=6(-4u+5)	$6 u = 6 (- 4 u + 5)$
200708	Find the Intersection	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
200709	Solve for b	-6b-6b-9=8b-9	$- 6 b - 6 b - 9 = 8 b - 9$
200710	Subtract	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
200711	Solve for t	4t-2+t^2=6+t^2	$4 t - 2 + t^{2} = 6 + t^{2}$
200712	Solve for B	B/(d+5^2)=3G	$\frac{B}{d + 5^{2}} = 3 G$
200713	Solve for x	4.6>x+3/4	$4.6 > x + \frac{3}{4}$
200714	Write in Standard Form	f(x)=(x-4)(x+4)	$f (x) = (x - 4) (x + 4)$
200715	Divide	(6k^2m-12k^3m^2+9m^3)/(2(km^2))	$\frac{6 k^{2} m - 12 k^{3} m^{2} + 9 m^{3}}{2 {km}^{2}}$
200716	Simplify	(3-x)(3x^2+x-4)	$(3 - x) (3 x^{2} + x - 4)$
200717	Simplify	(( square root of 2)/2+i square root of 2)(( square root of 2)/2-i square root of 2)	$(\frac{\sqrt{2}}{2} + i \sqrt{2}) (\frac{\sqrt{2}}{2} - i \sqrt{2})$
200718	Simplify the Radical Expression	( cube root of 3* cube root of 18)/( sixth root of 2* sixth root of 2)	$\frac{\sqrt[3]{3} \cdot \sqrt[3]{18}}{\sqrt[6]{2} \cdot \sqrt[6]{2}}$
200719	Solve for x	(2x)/(2x+5)=5/6-8/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{5}{6} - \frac{8}{4 x + 10}$
200720	Simplify	x/(3x+12)-(x+1)/(x+4)	$\frac{x}{3 x + 12} - \frac{x + 1}{x + 4}$
200721	Simplify	-8mn*(2m-3mp+p^2)	$- 8 m n \cdot (2 m - 3 m p + p^{2})$
200722	Graph	y>- square root of 2x-3+4	$y > - \sqrt{2 x - 3} + 4$
200723	Find the Product	(7x-8)(3x+5y)	$(7 x - 8) (3 x + 5 y)$
200724	Solve for x	2(x-2/3)=0	$2 (x - \frac{2}{3}) = 0$
200725	Find the Product	(7j^2)^3	${(7 j^{2})}^{3}$
200726	Solve for x	x+4(3.5x)=15	$x + 4 (3.5 x) = 15$
200727	Simplify	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
200728	Solve for x	5/7=2/(9x)	$\frac{5}{7} = \frac{2}{9 x}$
200729	Solve for s	-8s=-7s+10	$- 8 s = - 7 s + 10$
200730	Simplify	1/(1+tan(x)^2)+1/(1+cot(x)^2)	$\frac{1}{1 + \tan^{2} (x)} + \frac{1}{1 + \cot^{2} (x)}$
200731	Simplify	2sin(10 degrees )cos(10 degrees )	$2 \sin (10 °) \cos (10 °)$
200732	Write in Standard Form	(8x^3-6x^4+3)-(3x^3-3+8x^4)	$(8 x^{3} - 6 x^{4} + 3) - (3 x^{3} - 3 + 8 x^{4})$
200733	Rationalize the Denominator	(1- square root of 3)/( square root of 3)	$\frac{1 - \sqrt{3}}{\sqrt{3}}$
200734	Evaluate	(8*6!)/(3!)	$\frac{8 \cdot 6!}{3!}$
200735	Simplify the Radical Expression	square root of 18x^4y^6z^8	$\sqrt{18 x^{4} y^{6} z^{8}}$
200736	Solve for x	(2+x)/(7+x)=5/4	$\frac{2 + x}{7 + x} = \frac{5}{4}$
200737	Factor	3x^3-2y^3-6x^2y^2+xy	$3 x^{3} - 2 y^{3} - 6 x^{2} y^{2} + x y$
200738	Simplify	(5x^3y^2)/(3xy^0)	$\frac{5 x^{3} y^{2}}{3 x y^{0}}$
200739	Simplify	(a/b-b/a)/(1+b/a)	$\frac{\frac{a}{b} - \frac{b}{a}}{1 + \frac{b}{a}}$
200740	Simplify	(16 cube root of 24)/(2 cube root of 3)	$\frac{16 \sqrt[3]{24}}{2 \sqrt[3]{3}}$
200741	Solve for x	12/18=(3x+4)/15	$\frac{12}{18} = \frac{3 x + 4}{15}$
200742	Simplify	(ax-ay)/(5x^2y^2)*(-(5xy)/(by-bx))	$\frac{a x - a y}{5 x^{2} y^{2}} \cdot (- \frac{5 x y}{b y - b x})$
200743	Factor	2a+ac^2-a^2c-2c	$2 a + a c^{2} - a^{2} c - 2 c$
200744	Solve for x	7x+1=3x^2-2x+1	$7 x + 1 = 3 x^{2} - 2 x + 1$
200745	Simplify the Radical Expression	27 1/3	$27 \frac{1}{3}$
200746	Divide	((2x+3)/(8x^3+6x^2+x+15))	$(\frac{2 x + 3}{8 x^{3} + 6 x^{2} + x + 15})$
200747	Simplify	((10ab)^2(2a^4b^3))/(4a^5b)	$\frac{{(10 a b)}^{2} (2 a^{4} b^{3})}{4 a^{5} b}$
200748	Expand Using the Binomial Theorem	(1/x+y)^5	${(\frac{1}{x} + y)}^{5}$
200749	Simplify	(-12t^-1u^5x^-4)/(2t^-3ux^5)	$\frac{- 12 t^{- 1} u^{5} x^{- 4}}{2 t^{- 3} u x^{5}}$
200750	Simplify	-5ab*(a^2-2b)	$- 5 a b \cdot (a^{2} - 2 b)$
200751	Simplify	((3r^-2s^3t^0)^-3)/(3rs)	$\frac{{(3 r^{- 2} s^{3} t^{0})}^{- 3}}{3 r s}$
200752	Find the Holes in the Graph	f(x)=(x^2-2x-3)/(x^2-9)	$f (x) = \frac{x^{2} - 2 x - 3}{x^{2} - 9}$
200753	Solve for x	10(x-1)-7x=x	$10 (x - 1) - 7 x = x$
200754	Divide Using Synthetic Division	(m^3-12m^2+33m)÷(m-5)	$(m^{3} - 12 m^{2} + 33 m) \div (m - 5)$
200755	Graph	3x-y^2=4x+25	$3 x - y^{2} = 4 x + 25$
200756	Solve the Inequality for m	1/4m<=-17	$\frac{1}{4} m \leq - 17$
200757	Simplify	(5a-b^3)(b^3+5a)	$(5 a - b^{3}) (b^{3} + 5 a)$
200758	Factor	(36a^2-64b^2)	$(36 a^{2} - 64 b^{2})$
200759	Find the Roots (Zeros)	256/2401	$\frac{256}{2401}$
200760	Solve for b	36^(3b)=216^(b+4)	$36^{3 b} = 216^{b + 4}$
200761	Simplify	(4((2-5)^3-4(1/2-5/3)^2)+3(2/6))- square root of 4	$(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2} - \frac{5}{3})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
200762	Solve for A	F-N=qA	$F - N = q A$
200763	Simplify	3b^(1/2)*b^(3/2)	$3 b^{\frac{1}{2}} \cdot b^{\frac{3}{2}}$
200764	Simplify	(3x^-3y^2x^-4y^-4)/(3xy^23yx^-1)	$\frac{3 x^{- 3} y^{2} \cdot x^{- 4} y^{- 4}}{3 x y^{2} \cdot 3 y x^{- 1}}$
200765	Simplify	3^4x(3/(x^2))^-2	$3^{4} \cdot x \cdot {(\frac{3}{x^{2}})}^{- 2}$
200766	Simplify	((4r^2t)^3)^2	${({(4 r^{2} t)}^{3})}^{2}$
200767	Simplify	(-1 1/3p+6q)^2	${(- 1 \frac{1}{3} p + 6 q)}^{2}$
200768	Simplify	((4^(1/2))/(4^(3/4)))^4	${(\frac{4^{\frac{1}{2}}}{4^{\frac{3}{4}}})}^{4}$
200769	Graph	f(x)=f(x-1)+x^2+2x	$f (x) = f (x - 1) + x^{2} + 2 x$
200770	Simplify	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
200771	Simplify	- square root of 4^4	$- \sqrt{4^{4}}$
200772	Simplify the Radical Expression	fourth root of (405x^3y^3)/(5x^-1y)	$\sqrt[4]{\frac{405 x^{3} y^{3}}{5 x^{- 1} y}}$
200773	Simplify	5 cube root of 3a+5 cube root of 3a-9 cube root of 3a	$5 \sqrt[3]{3 a} + 5 \sqrt[3]{3 a} - 9 \sqrt[3]{3 a}$
200774	Simplify the Radical Expression	6/(4+ square root of 5)	$\frac{6}{4 + \sqrt{5}}$
200775	Simplify	(3x^(-1/3)y^(3/4))^2	${(3 x^{- \frac{1}{3}} y^{\frac{3}{4}})}^{2}$
200776	Find the Domain and Range	f(x)=3/2 cube root of x+5	$f (x) = \frac{3}{2} \sqrt[3]{x} + 5$
200777	Simplify	(6n^2+11n^3+2n)-(4n-3+5n^2)	$(6 n^{2} + 11 n^{3} + 2 n) - (4 n - 3 + 5 n^{2})$
200778	Solve for x	square root of x=1/2	$\sqrt{x} = \frac{1}{2}$
200779	Graph	x-y<-6 x-y<=1	$x - y < - 6$ $x - y \leq 1$
200780	Simplify the Radical Expression	square root of 3*2 square root of 2	$\sqrt{3} \cdot 2 \sqrt{2}$
200781	Simplify	3xy^2*(2xy+3y^2-cx^3)	$3 x y^{2} \cdot (2 x y + 3 y^{2} - c x^{3})$
200782	Simplify	((2x^-2y^3)/(3xy^-4))	$(\frac{2 x^{- 2} y^{3}}{3 x y^{- 4}})$
200783	Simplify	3 square root of 3+6 square root of 3-1/2 square root of 3	$3 \sqrt{3} + 6 \sqrt{3} - \frac{1}{2} \sqrt{3}$
200784	Simplify	(5 square root of 2a)/( square root of b^3)	$\frac{5 \sqrt{2 a}}{\sqrt{b^{3}}}$
200785	Write in Standard Form	-3x(5x+1)(8-2x)	$- 3 x (5 x + 1) (8 - 2 x)$
200786	Solve for x	20/5=(4x)/6	$\frac{20}{5} = \frac{4 x}{6}$
200787	Graph	y>=-1/3x+3 y>3/4x-1	$y \geq - \frac{1}{3} x + 3$ $y > \frac{3}{4} x - 1$
200788	Simplify	((4s^5t^-7)/(-2s^-2t^4))	$(\frac{4 s^{5} t^{- 7}}{- 2 s^{- 2} t^{4}})$
200789	Simplify	((48^(1/4))/(6^(1/4)))^6	${(\frac{48^{\frac{1}{4}}}{6^{\frac{1}{4}}})}^{6}$
200790	Simplify	(a/b+1/a)(a-(a^3)/(a^2+b))	$(\frac{a}{b} + \frac{1}{a}) (a - \frac{a^{3}}{a^{2} + b})$
200791	Simplify	(5^(1/5))/5	$\frac{5^{\frac{1}{5}}}{5}$
200792	Simplify	(3+ square root of 5)/(1- square root of 5)	$\frac{3 + \sqrt{5}}{1 - \sqrt{5}}$
200793	Simplify	square root of x^5y^5*3 square root of 2x^7y^6	$\sqrt{x^{5} y^{5}} \cdot 3 \sqrt{2 x^{7} y^{6}}$
200794	Solve for y	1+4/y=11/(12y)	$1 + \frac{4}{y} = \frac{11}{12 y}$
200795	Simplify	(3^-2a^-1)/(9^-1b^-2c^0)	$\frac{3^{- 2} a^{- 1}}{9^{- 1} b^{- 2} c^{0}}$
200796	Expand Using Pascal's Triangle	(2x^3-y)^5	${(2 x^{3} - y)}^{5}$
200797	Simplify	5 cube root of a*4 square root of a^3	$5 \sqrt[3]{a} \cdot 4 \sqrt{a^{3}}$
200798	Simplify	-4a(1/2b+1/4c+1)	$- 4 a (\frac{1}{2} b + \frac{1}{4} c + 1)$
200799	Simplify	3/(3^2)	$\frac{3}{3^{2}}$
200800	Find the x and y Intercepts	f(x)=x/2+1	$f (x) = \frac{x}{2} + 1$