Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200001	Simplify	6t-1+t+2-7t	$6 t - 1 + t + 2 - 7 t$
200002	Simplify	(3 cube root of 2)/( cube root of 3)	$\frac{3 \sqrt[3]{2}}{\sqrt[3]{3}}$
200003	Evaluate	(x-5)^4=256	${(x - 5)}^{4} = 256$
200004	Simplify	(4+2/x)/(3-2/x)	$\frac{4 + \frac{2}{x}}{3 - \frac{2}{x}}$
200005	Solve by Substitution	x-3y=-15 x=-3	$x - 3 y = - 15$ $x = - 3$
200006	Solve for f	-7f-10=-2+f+8	$- 7 f - 10 = - 2 + f + 8$
200007	Simplify	(x^2-3x-3)+(2x^2+7x-2)	$(x^{2} - 3 x - 3) + (2 x^{2} + 7 x - 2)$
200008	Solve for x	7x+10=1/3(12x-3)+14x	$7 x + 10 = \frac{1}{3} (12 x - 3) + 14 x$
200009	Evaluate	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
200010	Solve by Graphing	y=-1/2x-2 y=-3/2x+2	$y = - \frac{1}{2} x - 2$ $y = - \frac{3}{2} x + 2$
200011	Solve for x	2 square root of x+8=3 square root of x-2	$2 \sqrt{x + 8} = 3 \sqrt{x - 2}$
200012	Divide	(-1/2a^3b^4-1/3a^2b^2+2/5a^5b-a^2b^3)÷(-5a^3b^2)	$(- \frac{1}{2} a^{3} b^{4} - \frac{1}{3} a^{2} b^{2} + \frac{2}{5} a^{5} b - a^{2} b^{3}) \div (- 5 a^{3} b^{2})$
200013	Write in Exponential Form	cube root of fourth root of 228	$\sqrt[3]{\sqrt[4]{228}}$
200014	Solve for c	c=-9-8c	$c = - 9 - 8 c$
200015	Simplify	(28d^3k^2+d^2k^2-4dk^2)(4dk^2)^-1	$(28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}) {(4 d k^{2})}^{- 1}$
200016	Solve for a	d(a-n)=q	$d (a - n) = q$
200017	Solve for b	ab-2=3c	$a b - 2 = 3 c$
200018	Solve by Substitution	y=2x -6x+3y=16	$y = 2 x$ $- 6 x + 3 y = 16$
200019	Simplify the Radical Expression	-3 sixth root of 3-2 sixth root of 192- sixth root of 320	$- 3 \sqrt[6]{3} - 2 \sqrt[6]{192} - \sqrt[6]{320}$
200020	Solve for a	(8-9a)a=-40+(6-3a)(6+3a)	$(8 - 9 a) a = - 40 + (6 - 3 a) (6 + 3 a)$
200021	Solve for f	-8f=-7f-8	$- 8 f = - 7 f - 8$
200022	Simplify	( cube root of 48x^3y^7)/( cube root of 8x^5y)	$\frac{\sqrt[3]{48 x^{3} y^{7}}}{\sqrt[3]{8 x^{5} y}}$
200023	Solve for m	cube root of 5m+2=3	$\sqrt[3]{5 m + 2} = 3$
200024	Evaluate	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
200025	Solve the Inequality for a	1/2a<20	$\frac{1}{2} a < 20$
200026	Solve for r	-10-5r=-6r-1	$- 10 - 5 r = - 6 r - 1$
200027	Simplify	(a-2)/(8a)+(2a+5)/(8a)-(3-a)/(8a)	$\frac{a - 2}{8 a} + \frac{2 a + 5}{8 a} - \frac{3 - a}{8 a}$
200028	Solve for v	-1+10v+3=-5+9v	$- 1 + 10 v + 3 = - 5 + 9 v$
200029	Evaluate the Function	f(x)=1/3(6)^x for x=3	$f (x) = \frac{1}{3} {(6)}^{x}$ for $x = 3$
200030	Simplify	(x^3y^3)^3*xy^2	${(x^{3} y^{3})}^{3} \cdot x y^{2}$
200031	Solve for m	-7+4m=8+4m+5m	$- 7 + 4 m = 8 + 4 m + 5 m$
200032	Graph	7x+3y<=-24 x+3y<=-6	$7 x + 3 y \leq - 24$ $x + 3 y \leq - 6$
200033	Simplify	(i-2)^2(i+2)	${(i - 2)}^{2} (i + 2)$
200034	Simplify	(6f^-2g^3h^5)/(54f^-2g^-5h^3)	$\frac{6 f^{- 2} g^{3} h^{5}}{54 f^{- 2} g^{- 5} h^{3}}$
200035	Solve for x	square root of 3x+2- square root of 2x+7=0	$\sqrt{3 x + 2} - \sqrt{2 x + 7} = 0$
200036	Solve for p	-2p=-3p+8	$- 2 p = - 3 p + 8$
200037	Simplify the Radical Expression	fourth root of a^2b^14	$\sqrt[4]{a^{2} b^{14}}$
200038	Graph	f(x)=-x+4 if X<1; 2x+1 if x>=1	$f (x) = {\begin{cases} - x + 4 & X < 1 \\ 2 x + 1 & x \geq 1 \end{cases}$
200039	Graph	y<=x/2-3	$y \leq \frac{x}{2} - 3$
200040	Simplify	square root of 2x^3y* square root of 6x^2y^2	$\sqrt{2 x^{3} y} \cdot \sqrt{6 x^{2} y^{2}}$
200041	Solve for t	250=62.5 cube root of t+75.8	$250 = 62.5 \sqrt[3]{t} + 75.8$
200042	Simplify	3(j+0.2j)	$3 (j + 0.2 j)$
200043	Solve for q	6+8(4q-9)=10q	$6 + 8 (4 q - 9) = 10 q$
200044	Simplify	((c^2y)/(2d^2))/((c^6)/(5d))	$\frac{\frac{c^{2} y}{2 d^{2}}}{\frac{c^{6}}{5 d}}$
200045	Simplify	(2x^5y^2)(4xy^3)+(x^4y^4)(3x^2y)	$(2 x^{5} y^{2}) (4 x y^{3}) + (x^{4} y^{4}) (3 x^{2} y)$
200046	Solve for n	-3-10n-2n=-10-5n	$- 3 - 10 n - 2 n = - 10 - 5 n$
200047	Simplify	( cube root of w* square root of w^5)/( square root of 25w^16)	$\frac{\sqrt[3]{w} \cdot \sqrt{w^{5}}}{\sqrt{25 w^{16}}}$
200048	Factor	c^3-c^4+2c^5	$c^{3} - c^{4} + 2 c^{5}$
200049	Simplify	( square root of 2x^9)/( square root of x^6)	$\frac{\sqrt{2 x^{9}}}{\sqrt{x^{6}}}$
200050	Multiply	-3ab (5a-8b)	$- 3 a b$ $(5 a - 8 b)$
200051	Solve for x	4 square root of x-2>20	$4 \sqrt{x - 2} > 20$
200052	Graph	X>-2 and y<-1	$X > - 2$ and $y < - 1$
200053	Solve for z	z+64/(z+4)=12	$z + \frac{64}{z + 4} = 12$
200054	Simplify	(x+y)/2-(5-x^2)/(y-x)	$\frac{x + y}{2} - \frac{5 - x^{2}}{y - x}$
200055	Solve for s	-6s-5s+5=-7+s	$- 6 s - 5 s + 5 = - 7 + s$
200056	Solve for x	b-7x=a-b	$b - 7 x = a - b$
200057	Simplify	cube root of (128a^9)/(2a^3)	$\sqrt[3]{\frac{128 a^{9}}{2 a^{3}}}$
200058	Write in Standard Form	(2x-1)(2x+1)=x(2x+3)	$(2 x - 1) (2 x + 1) = x (2 x + 3)$
200059	Solve for x	3(3-3x)=2(x+3)-30	$3 (3 - 3 x) = 2 (x + 3) - 30$
200060	Solve for x	14x-1/2(4x+6)=3(x-4)-18	$14 x - \frac{1}{2} (4 x + 6) = 3 (x - 4) - 18$
200061	Graph	y<=x-1 y<-2x+2	$y \leq x - 1$ $y < - 2 x + 2$
200062	Solve for F	9/5C+32=F	$\frac{9}{5} C + 32 = F$
200063	Simplify	((-6a^-9b^5)/(2a^2b^-4))^4	${(\frac{- 6 a^{- 9} b^{5}}{2 a^{2} b^{- 4}})}^{4}$
200064	Solve for x	square root of 1-5x=1+ square root of 6-x	$\sqrt{1 - 5 x} = 1 + \sqrt{6 - x}$
200065	Simplify	( square root of 40a^2b^5)/( square root of 5a^5b)	$\frac{\sqrt{40 a^{2} b^{5}}}{\sqrt{5 a^{5} b}}$
200066	Solve the System of Equations	A+C=1 B+D=0 4A+2C=0 4B+2D=6	$A + C = 1$ $B + D = 0$ $4 A + 2 C = 0$ $4 B + 2 D = 6$
200067	Simplify	-3a*(7a^2-4)	$- 3 a \cdot (7 a^{2} - 4)$
200068	Solve for w	-2+2/3w=10	$- 2 + \frac{2}{3} w = 10$
200069	Simplify the Radical Expression	4 sixth root of 3+2 fourth root of 32-3 sixth root of 192-2 sixth root of 192	$4 \sqrt[6]{3} + 2 \sqrt[4]{32} - 3 \sqrt[6]{192} - 2 \sqrt[6]{192}$
200070	Simplify	((4m^2)(3n^5))/((2m^-3)(-mn)^3)	$\frac{(4 m^{2}) (3 n^{5})}{(2 m^{- 3}) {(- m n)}^{3}}$
200071	Solve for q	-7-7q=-8q-4-8	$- 7 - 7 q = - 8 q - 4 - 8$
200072	Solve by Graphing	y=1/3x+2 y=2/3x+5	$y = \frac{1}{3} x + 2$ $y = \frac{2}{3} x + 5$
200073	Simplify	(2x^(1/3)*y^(3/5))^2	${(2 x^{\frac{1}{3}} \cdot y^{\frac{3}{5}})}^{2}$
200074	Solve the Inequality for x	2 cube root of x-5>=3	$2 \sqrt[3]{x} - 5 \geq 3$
200075	Factor	12a^2b^4-36a^2b+44abc	$12 a^{2} b^{4} - 36 a^{2} b + 44 a b c$
200076	Solve for h	2-4h-4=6-5h	$2 - 4 h - 4 = 6 - 5 h$
200077	Simplify	( square root of 7-7)*(1+ square root of 7)	$(\sqrt{7} - 7) \cdot (1 + \sqrt{7})$
200078	Simplify	cube root of 4* square root of 8	$\sqrt[3]{4} \cdot \sqrt{8}$
200079	Solve for d	8 1/4÷d=2/11	$8 \frac{1}{4} \div d = \frac{2}{11}$
200080	Solve for x	(1/x+1/a)/(x+a)=1	$\frac{\frac{1}{x} + \frac{1}{a}}{x + a} = 1$
200081	Solve for y	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
200082	Solve for y	square root of y-3=-5	$\sqrt{y - 3} = - 5$
200083	Simplify	( cube root of 64)^-2	${(\sqrt[3]{64})}^{- 2}$
200084	Solve for T	Pr=I/T	$P r = \frac{I}{T}$
200085	Evaluate	-(10^0)^7	$- {(10^{0})}^{7}$
200086	Rationalize the Denominator	( square root of 5+2 square root of 2)/( square root of 6)	$\frac{\sqrt{5} + 2 \sqrt{2}}{\sqrt{6}}$
200087	Simplify	5 square root of 27-2 cube root of 27+ cube root of 27	$5 \sqrt{27} - 2 \sqrt[3]{27} + \sqrt[3]{27}$
200088	Solve for y	square root of y^2-12y+36=-1	$\sqrt{y^{2} - 12 y + 36} = - 1$
200089	Simplify the Radical Expression	( square root of 2)/(4 square root of 8)	$\frac{\sqrt{2}}{4 \sqrt{8}}$
200090	Solve for u	-10u+10=-1-9u+7	$- 10 u + 10 = - 1 - 9 u + 7$
200091	Solve for j	-7j-2-2j=4-3j	$- 7 j - 2 - 2 j = 4 - 3 j$
200092	Simplify	((x^2-x-2)(x^2-9))/((x^2-2x-3)(x^2+x-6))	$\frac{(x^{2} - x - 2) (x^{2} - 9)}{(x^{2} - 2 x - 3) (x^{2} + x - 6)}$
200093	Solve for c	12x^5=(4x^2)(c)	$12 x^{5} = (4 x^{2}) (c)$
200094	Write in Exponential Form	( cube root of x^3)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{3}}}{\sqrt[5]{x^{2}}}$
200095	Solve for v	9v=-10+10v	$9 v = - 10 + 10 v$
200096	Find All Complex Solutions	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
200097	Simplify	(80xy)/(10(xy)^-2)	$\frac{80 x y}{10 {(x y)}^{- 2}}$
200098	Solve for r	8+4r=9r+r-10	$8 + 4 r = 9 r + r - 10$
200099	Solve for g	-9-g-7g=7-10g	$- 9 - g - 7 g = 7 - 10 g$
200100	Simplify	( square root of c^5)/( square root of d^9)	$\frac{\sqrt{c^{5}}}{\sqrt{d^{9}}}$