Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5201	Find the Domain	(x^2+x-10)/(x(x-5))	$\frac{x^{2} + x - 10}{x (x - 5)}$
5202	Solve for x	2x+1 1/2=3 1/2	$2 x + 1 \frac{1}{2} = 3 \frac{1}{2}$
5203	Simplify	((16c^6c^-2)/((2c^2)^3))^-1	${(\frac{16 c^{6} c^{- 2}}{{(2 c^{2})}^{3}})}^{- 1}$
5204	Simplify	-2r-8r+3-5+10r	$- 2 r - 8 r + 3 - 5 + 10 r$
5205	Find the Value Using the Unit Circle	cot(45 degrees )	$\cot (45 °)$
5206	Find the Holes in the Graph	(x^2-4x-5)/(4x+4)	$\frac{x^{2} - 4 x - 5}{4 x + 4}$
5207	Evaluate	(1/(625^(-3/4)))	$(\frac{1}{625^{- \frac{3}{4}}})$
5208	Simplify	2y(6x-4x^2y)+13x^2y^2-6	$2 y (6 x - 4 x^{2} y) + 13 x^{2} y^{2} - 6$
5209	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (6e^(4x)-2e^(3x)-4)/(sin(2x))	$lim_{x \to 0} \frac{6 e^{4 x} - 2 e^{3 x} - 4}{\sin (2 x)}$
5210	Find the Inverse	y=e^(8-x)	$y = e^{8 - x}$
5211	Find the Other Trig Values in Quadrant IV	sin(theta)=0	$\sin (θ) = 0$
5212	Divide	(9x^5+9x^4+45x^3)/(9x^2)	$\frac{9 x^{5} + 9 x^{4} + 45 x^{3}}{9 x^{2}}$
5213	Write as a Single Logarithm	3* log base 4 of 8-5* log base 4 of 2	$3 \cdot \log_{4} (8) - 5 \cdot \log_{4} (2)$
5214	Find the Derivative - d/dx	y=4/((x^3+9)^5)	$y = \frac{4}{{(x^{3} + 9)}^{5}}$
5215	Solve for x	3^(x-2)(1/9)^(1+x)=9	$3^{x - 2} {(\frac{1}{9})}^{1 + x} = 9$
5216	Solve the System of Equations	y=x^2-7x-6 y=8-2x	$y = x^{2} - 7 x - 6$ $y = 8 - 2 x$
5217	Simplify	4^0*5^-2	$4^{0} \cdot 5^{- 2}$
5218	Multiply	square root of 20x^2* square root of 20x	$\sqrt{20 x^{2}} \cdot \sqrt{20 x}$
5219	Evaluate	(10^7)/(25^3)*5/32	$\frac{10^{7}}{25^{3}} \cdot \frac{5}{32}$
5220	Subtract	3/(2x+6)-(x-6)/(2x^2+6x)	$\frac{3}{2 x + 6} - \frac{x - 6}{2 x^{2} + 6 x}$
5221	Solve the Rational Equation for x	square root of 3x=12	$\sqrt{3 x} = 12$
5222	Simplify	(2x^2)(x^2)^6(3x^2)^3	$(2 x^{2}) {(x^{2})}^{6} {(3 x^{2})}^{3}$
5223	Find the Antiderivative	3 square root of x-2 cube root of x	$3 \sqrt{x} - 2 \sqrt[3]{x}$
5224	Solve for m	3/4m>-12	$\frac{3}{4} m > - 12$
5225	Solve for z	(7z)/3-2=3z-9	$\frac{7 z}{3} - 2 = 3 z - 9$
5226	Simplify	11/(10x)*(5x)/22	$\frac{11}{10 x} \cdot \frac{5 x}{22}$
5227	Simplify	2x*1/(14x)	$2 x \cdot \frac{1}{14 x}$
5228	Evaluate	(2h^3j^-3k^4)/(3jk)	$\frac{2 h^{3} j^{- 3} k^{4}}{3 j k}$
5229	Solve for x	log base x of 3x-2=2	$\log_{x} (3 x - 2) = 2$
5230	Simplify	(2x-3)/(4x-7)+(2x-3)/(4x-7)	$\frac{2 x - 3}{4 x - 7} + \frac{2 x - 3}{4 x - 7}$
5231	Solve for j	0.1j=2(0.3j+0.5)	$0.1 j = 2 (0.3 j + 0.5)$
5232	Solve for x	(4x)/5=(x-2)/7	$\frac{4 x}{5} = \frac{x - 2}{7}$
5233	Simplify	cube root of 4x^2 cube root of 12x^3 cube root of 36x^4	$\sqrt[3]{4 x^{2}} \sqrt[3]{12 x^{3}} \sqrt[3]{36 x^{4}}$
5234	Evaluate	6*2^-2	$6 \cdot 2^{- 2}$
5235	Simplify the Radical Expression	( fourth root of 7)^4	${(\sqrt[4]{7})}^{4}$
5236	Simplify	(4^5*3^5)^(-1/5)	${(4^{5} \cdot 3^{5})}^{- \frac{1}{5}}$
5237	Solve for c	2=10c-4(2c-9)	$2 = 10 c - 4 (2 c - 9)$
5238	Solve for n	-11-2 1/4n=-7/8	$- 11 - 2 \frac{1}{4} n = - \frac{7}{8}$
5239	Find the Derivative - d/dy	(d^2y)/(dx^2)	$\frac{d^{2} y}{d x^{2}}$
5240	Simplify	1/210x(7x^3+5x)-1/23x(4x^3+2x)	$\frac{1}{2} \cdot 10 x (7 x^{3} + 5 x) - \frac{1}{2} \cdot 3 x (4 x^{3} + 2 x)$
5241	Evaluate	(3^24)÷18+306-1	$3^{2} \cdot 4 \div 18 + 30 \cdot 6 - 1$
5242	Solve for x	3^(4x-5)<8	$3^{4 x - 5} < 8$
5243	Solve for u	-1-3u+11u=-14+9u	$- 1 - 3 u + 11 u = - 14 + 9 u$
5244	Solve for x	2(8^x)=128	$2 (8^{x}) = 128$
5245	Simplify	(x^2-4)/(1-6x)	$\frac{x^{2} - 4}{1 - 6 x}$
5246	Expand Using Sum/Difference Formulas	5(2x-1)	$5 (2 x - 1)$
5247	Solve for c	-3.2c=0.6-2.8c	$- 3.2 c = 0.6 - 2.8 c$
5248	Solve for x	f(x)=0	$f (x) = 0$
5249	Simplify	((99x)/100)(10/33)	$(\frac{99 x}{100}) (\frac{10}{33})$
5250	Simplify	-7+12-11x+8x	$- 7 + 12 - 11 x + 8 x$
5251	Simplify	(1/(y^-1*y^2))^(3/4)	${(\frac{1}{y^{- 1} \cdot y^{2}})}^{\frac{3}{4}}$
5252	Simplify	(-7m^6n^4)^2-(4m^3n^2)^4	${(- 7 m^{6} n^{4})}^{2} - {(4 m^{3} n^{2})}^{4}$
5253	Evaluate	2/3(y+2)-5/6(y-1)=5/4(y-3)-4	$\frac{2}{3} (y + 2) - \frac{5}{6} (y - 1) = \frac{5}{4} (y - 3) - 4$
5254	Evaluate the Integral	integral of ((2x^3+x^2-3x)/x) with respect to x	$\int (\frac{2 x^{3} + x^{2} - 3 x}{x}) d x$
5255	Graph	-4<=x-5<-1	$- 4 \leq x - 5 < - 1$
5256	Solve for x	8(1-x)-2(x+1)=3(2-2x)	$8 (1 - x) - 2 (x + 1) = 3 (2 - 2 x)$
5257	Verify the Identity	1/(sin(x)(1-cos(x)))=(cos(x)+1)/(sin(x)^3)	$\frac{1}{\sin (x) (1 - \cos (x))} = \frac{(\cos (x) + 1)}{\sin^{3} (x)}$
5258	Solve for r	m = square root of (6a+r)/(5r)	$m = \sqrt{\frac{6 a + r}{5 r}}$
5259	Solve for y	-4(1-0.1y)=0.8y	$- 4 (1 - 0.1 y) = 0.8 y$
5260	Evaluate	((-2^2)^38)/(4^4(0.5)^3)	$\frac{{(- 2^{2})}^{3} \cdot 8}{4^{4} \cdot {(0.5)}^{3}}$
5261	Solve for g	-3 1/3=-1/2g	$- 3 \frac{1}{3} = - \frac{1}{2} g$
5262	Solve for z	3=2+2/(z+2)	$3 = 2 + \frac{2}{z + 2}$
5263	Solve for u	4+3u=-20-9u+14u	$4 + 3 u = - 20 - 9 u + 14 u$
5264	Evaluate	(7/5)(2)(4/3)	$(\frac{7}{5}) (2) (\frac{4}{3})$
5265	Graph	4x-3>9 or -8x>=16	$4 x - 3 > 9$ or $- 8 x \geq 16$
5266	Solve for y	256^y*16^(y-1)=4^(2y-22)	$256^{y} \cdot 16^{y - 1} = 4^{2 y - 22}$
5267	Solve for x	square root of 5-x- square root of x=1	$\sqrt{5 - x} - \sqrt{x} = 1$
5268	Simplify	(6a^3b^-2)(-4ab^-8)	$(6 a^{3} b^{- 2}) (- 4 a b^{- 8})$
5269	Simplify	(2x^3+11x^2-21x)/(x^2+3x)	$\frac{2 x^{3} + 11 x^{2} - 21 x}{x^{2} + 3 x}$
5270	Solve for a	R=1/3s(a-b)	$R = \frac{1}{3} s (a - b)$
5271	Solve for x	square root of x^2-6x+9+2x=9	$\sqrt{x^{2} - 6 x + 9} + 2 x = 9$
5272	Solve the Function Operation	Find (f/g)(x) when f(x)=36x^4 and g(x)=4x^3 , x!=0	Find $(\frac{f}{g}) (x)$ when $f (x) = 36 x^{4}$ and $g (x) = 4 x^{3}$ , $x \neq 0$
5273	Simplify	((r^-1s^2t^-3)/(r^-2s^0t^1))^-1	${(\frac{r^{- 1} s^{2} t^{- 3}}{r^{- 2} s^{0} t^{1}})}^{- 1}$
5274	Evaluate	( log base a of 32)÷( log base a of 4)	$\log_{a} (32) \div \log_{a} (4)$
5275	Simplify the Radical Expression	i^49	$i^{49}$
5276	Solve for a	square root of 2a-1- square root of a+4=0	$\sqrt{2 a - 1} - \sqrt{a + 4} = 0$
5277	Solve the System of Inequalities	3x-91>-87 and 17x-16>18	$3 x - 91 > - 87$ and $17 x - 16 > 18$
5278	Find the Product	(x+2y+3z)^2	${(x + 2 y + 3 z)}^{2}$
5279	Determine if Linearly Dependent	[[2],[-1],[4],[1],[2]] , [[1],[2],[-1],[5],[2]] , [[2],[1],[-3],[6],[1]]	$[\begin{array}{c} 2 \\ - 1 \\ 4 \\ 1 \\ 2 \end{array}]$ , $[\begin{array}{c} 1 \\ 2 \\ - 1 \\ 5 \\ 2 \end{array}]$ , $[\begin{array}{c} 2 \\ 1 \\ - 3 \\ 6 \\ 1 \end{array}]$
5280	Simplify	Find the sum of 6x^2+10x-1 and -5x^2-2x+1	Find the sum of $6 x^{2} + 10 x - 1$ and $- 5 x^{2} - 2 x + 1$
5281	Add	-3/4+-1/2	$\frac{- 3}{4} + \frac{- 1}{2}$
5282	Find the Exact Value	sec(675 degrees )	$\sec (675 °)$
5283	Simplify	10/(pr)-4/r	$\frac{10}{p r} - \frac{4}{r}$
5284	Simplify	-3/5(-8+5/9x-3)	$- \frac{3}{5} (- 8 + \frac{5}{9} x - 3)$
5285	Determine if a Polynomial	3+2x^4+4x^6-x^2	$3 + 2 x^{4} + 4 x^{6} - x^{2}$
5286	Solve for x	(1/81)^(3x+36)=(1/9)^(3x^2-9x)	${(\frac{1}{81})}^{3 x + 36} = {(\frac{1}{9})}^{3 x^{2} - 9 x}$
5287	Solve by Substitution	-2x+y=0 5x+3y=-11	$- 2 x + y = 0$ $5 x + 3 y = - 11$
5288	Simplify	10 root of r^-8*r^3	$\sqrt[10]{r^{- 8} \cdot r^{3}}$
5289	Solve the Inequality for x	1/2(x-2)^2-2>0	$\frac{1}{2} {(x - 2)}^{2} - 2 > 0$
5290	Evaluate	(1/16)^0.5	${(\frac{1}{16})}^{0.5}$
5291	Solve for x	x^3-7x^2=-12x	$x^{3} - 7 x^{2} = - 12 x$
5292	Simplify	((x^2+x^3)/(11a^2))÷((4+4x)/(a^3))	$\frac{x^{2} + x^{3}}{11 a^{2}} \div \frac{4 + 4 x}{a^{3}}$
5293	Simplify	( square root of 175y^13)/( square root of y^3)	$\frac{\sqrt{175 y^{13}}}{\sqrt{y^{3}}}$
5294	Simplify the Radical Expression	7 cube root of m^7+3m^(7/3)	$7 \sqrt[3]{m^{7}} + 3 m^{\frac{7}{3}}$
5295	Solve for x	square root of x^2-2 = square root of x+4	$\sqrt{x^{2} - 2} = \sqrt{x + 4}$
5296	Write in Exponential Form	(n root of a)/(n root of b)	$\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
5297	Evaluate	(8/4)^3-3^2	${(\frac{8}{4})}^{3} - 3^{2}$
5298	Simplify	(-10g^6h^9(g^2h^3))/(30g^3h^3)	$\frac{- 10 g^{6} h^{9} (g^{2} h^{3})}{30 g^{3} h^{3}}$
5299	Find the Domain	((6x^2)/(5y))÷((3x)/(10y^2))	$\frac{6 x^{2}}{5 y} \div \frac{3 x}{10 y^{2}}$
5300	Solve the Inequality for c	5+c<=1	$5 + c \leq 1$