Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178301	Simplify	(5x^4+y)^2	${(5 x^{4} + y)}^{2}$
178302	Solve for y	1/y-1/(y^2)=-(y-1)/y	$\frac{1}{y} - \frac{1}{y^{2}} = - \frac{y - 1}{y}$
178303	Solve for x	(4x)/(x+5)=x/(x+4)	$\frac{4 x}{x + 5} = \frac{x}{x + 4}$
178304	Simplify	xy+3xy^2-2xy+3x^2y-2xy^2+xy	$x y + 3 x y^{2} - 2 x y + 3 x^{2} y - 2 x y^{2} + x y$
178305	Simplify	(20n^3+15n^2)/(20n^2+10n)	$\frac{20 n^{3} + 15 n^{2}}{20 n^{2} + 10 n}$
178306	Multiply	3/23/23/2	$\frac{3}{2} \cdot \frac{3}{2} \cdot \frac{3}{2}$
178307	Write in Standard Form	7x+15+x^2=-1	$7 x + 15 + x^{2} = - 1$
178308	Graph	N=(20(5+3t))/(1+0.04t) , t>=0	$N = \frac{20 (5 + 3 t)}{1 + 0.04 t}$ , $t \geq 0$
178309	Simplify	((x+2)/(x^3+2x^2-9x-18))÷((3x+1)/(x^2-9))	$\frac{x + 2}{x^{3} + 2 x^{2} - 9 x - 18} \div \frac{3 x + 1}{x^{2} - 9}$
178310	Simplify	x+x+y*y	$x + x + y \cdot y$
178311	Solve the Inequality for x	6(x-5)>3(x-1)	$6 (x - 5) > 3 (x - 1)$
178312	Convert to a Decimal	-3 7/16	$- 3 \frac{7}{16}$
178313	Solve the Inequality for x	2x-5>7	$2 x - 5 > 7$
178314	Solve for x	(x+1)/(x-1)=6/x	$\frac{x + 1}{x - 1} = \frac{6}{x}$
178315	Solve the System of Equations	8y-9x=-3 5y-8x=10	$8 y - 9 x = - 3$ $5 y - 8 x = 10$
178316	Evaluate	cos(arcsin(x))	$\cos (\arcsin (x))$
178317	Solve for r	d=rt ; for r	$d = r t$ ; for $r$
178318	Solve by Substitution	-3x-2y=5 -2x+1=y	$- 3 x - 2 y = 5$ $- 2 x + 1 = y$
178319	Divide	2 1/2÷(1/3)	$2 \frac{1}{2} \div \frac{1}{3}$
178320	Find the Exact Value	100^(1/2)	$100^{\frac{1}{2}}$
178321	Simplify	(3+i)/(6+i)	$\frac{3 + i}{6 + i}$
178322	Factor	1-p^9	$1 - p^{9}$
178323	Simplify	(10uv^2)/(3xy^2)*(6x^2y^2)/(5u^2v^2)	$\frac{10 u v^{2}}{3 x y^{2}} \cdot \frac{6 x^{2} y^{2}}{5 u^{2} v^{2}}$
178324	Write in Standard Form	y=(x+2)^2	$y = {(x + 2)}^{2}$
178325	Solve the Inequality for x	(x^2+5x)/(x-3)>=0	$\frac{x^{2} + 5 x}{x - 3} \geq 0$
178326	Find the x and y Intercepts	f(x)=2x+x^2	$f (x) = 2 x + x^{2}$
178327	Simplify	(12xy)/(7x^4)*(7x^5y^2)/(4y)	$\frac{12 x y}{7 x^{4}} \cdot \frac{7 x^{5} y^{2}}{4 y}$
178328	Write as a Single Logarithm	4 log base 3 of x-1/3 log base 3 of x+6	$4 \log_{3} (x) - \frac{1}{3} \log_{3} (x + 6)$
178329	Find the Holes in the Graph	f(x)=x/(x-5)	$f (x) = \frac{x}{x - 5}$
178330	Find the Equation of the Circle	Center (8,6) , r=10	Center $(8, 6)$ , $r = 10$
178331	Find the Product	(2y-5)(2y+5)	$(2 y - 5) (2 y + 5)$
178332	Solve for x	(-2x)/(x+2)+x/3=4/(x+2)	$\frac{- 2 x}{x + 2} + \frac{x}{3} = \frac{4}{x + 2}$
178333	Simplify	(-2-6i)/(-3+5i)	$\frac{- 2 - 6 i}{- 3 + 5 i}$
178334	Solve for x	x/(x+3)-1/x=-x/(x+3)	$\frac{x}{x + 3} - \frac{1}{x} = - \frac{x}{x + 3}$
178335	Simplify	2^2+2^3	$2^{2} + 2^{3}$
178336	Solve for h	V=lwh for h	$V = l w h$ for $h$
178337	Find the x and y Intercepts	f(x)=-2((1^x)/3)	$f (x) = - 2 (\frac{1^{x}}{3})$
178338	Solve the Inequality for x	3x>=12	$3 x \geq 12$
178339	Find the x and y Intercepts	y=((x-4)(2x+3))/((3x+5)(x-2))	$y = \frac{(x - 4) (2 x + 3)}{(3 x + 5) (x - 2)}$
178340	Solve for p	p^2-25=0	$p^{2} - 25 = 0$
178341	Write in Standard Form	(2x+3)(3x^2-6x+2)	$(2 x + 3) (3 x^{2} - 6 x + 2)$
178342	Solve for k	4.5e^(7k+8)=55	$4.5 e^{7 k + 8} = 55$
178343	Write in Slope-Intercept Form	y=-3	$y = - 3$
178344	Divide Using Synthetic Division	(3x^3+10x^2+7x)/(x+1)	$\frac{3 x^{3} + 10 x^{2} + 7 x}{x + 1}$
178345	Find the Function	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$
178346	Simplify	((x^3y)/(y^7z^2))^2	${(\frac{x^{3} y}{y^{7} z^{2}})}^{2}$
178347	Solve the Inequality for x	(x+4)/(x-1)>0	$\frac{x + 4}{x - 1} > 0$
178348	Solve the System of Equations	x-2y-z=-2 -x+6y-3z=6 2x-11y+5z=-11	$x - 2 y - z = - 2$ $- x + 6 y - 3 z = 6$ $2 x - 11 y + 5 z = - 11$
178349	Describe the Transformation	y=-1/2x^2	$y = - \frac{1}{2} x^{2}$
178350	Factor	2x^2+x+4x+2	$2 x^{2} + x + 4 x + 2$
178351	Find the Degree	arctan(1)	$\arctan (1)$
178352	Simplify	(x+1)/(x^2-x-20)-(x+4)/(x^2-4x-5)+(x+5)/(x^2+5x+4)	$\frac{x + 1}{x^{2} - x - 20} - \frac{x + 4}{x^{2} - 4 x - 5} + \frac{x + 5}{x^{2} + 5 x + 4}$
178353	Multiply	( square root of 3)/2*( square root of 3)/2	$\frac{\sqrt{3}}{2} \cdot \frac{\sqrt{3}}{2}$
178354	Graph	f(x)=5x-2 if x<1; x-7 if x>=1	$f (x) = {\begin{cases} 5 x - 2 & x < 1 \\ x - 7 & x \geq 1 \end{cases}$
178355	Subtract	(m-3n)/(6m^3n)-(m+3n)/(6m^3n)	$\frac{m - 3 n}{6 m^{3} n} - \frac{m + 3 n}{6 m^{3} n}$
178356	Simplify	(40y^2)/(6xy)	$\frac{40 y^{2}}{6 x y}$
178357	Simplify	(5(x/2)-1)/(9(x/2)-4)	$\frac{5 (\frac{x}{2}) - 1}{9 (\frac{x}{2}) - 4}$
178358	Find the x and y Intercepts	(x-3)(x+1)=y	$(x - 3) (x + 1) = y$
178359	Find the Midpoint	(4,5) and (9,2)	$(4, 5)$ and $(9, 2)$
178360	Solve for x	-2x^2-4x=6	$- 2 x^{2} - 4 x = 6$
178361	Evaluate	i^-9	$i^{- 9}$
178362	Factor	x^3+3x^2-4x-12=0	$x^{3} + 3 x^{2} - 4 x - 12 = 0$
178363	Evaluate	10cos(60)	$10 \cos (60)$
178364	Solve the System of Equations	3x+4y=6 and -3x+5y=12	$3 x + 4 y = 6$ and $- 3 x + 5 y = 12$
178365	Solve Using the Quadratic Formula	f(x)=x^2+4x+3	$f (x) = x^{2} + 4 x + 3$
178366	Find the Excluded Values	((a+2)/(a-5))÷((a+1)/(a^2-8a+15))	$\frac{a + 2}{a - 5} \div \frac{a + 1}{a^{2} - 8 a + 15}$
178367	Solve the Inequality for x	(x+2)(x-1)+26<(x+4)(x+5)	$(x + 2) (x - 1) + 26 < (x + 4) (x + 5)$
178368	Simplify	(5m+m)/(6m(3m^2+1))	$\frac{5 m + m}{6 m (3 m^{2} + 1)}$
178369	Solve for n	n^3-n=8n^2-8	$n^{3} - n = 8 n^{2} - 8$
178370	Graph	g(x)=1/2f(x-1)	$g (x) = \frac{1}{2} f (x - 1)$
178371	Solve the System of Equations	y=3x-8 y=-x-4	$y = 3 x - 8$ $y = - x - 4$
178372	Evaluate	10% of 50	$10 %$ of $50$
178373	Solve the Inequality for c	5/(2c-9)>1	$\frac{5}{2 c - 9} > 1$
178374	Simplify	(3x^3+2x^2+10)+(3x^3+2x^2+10x)	$(3 x^{3} + 2 x^{2} + 10) + (3 x^{3} + 2 x^{2} + 10 x)$
178375	Find the Exact Value	tan(arcsin(-( square root of 2)/2))	$\tan (\arcsin (- \frac{\sqrt{2}}{2}))$
178376	Write in Standard Form	8+5x-3x^2=4x+1	$8 + 5 x - 3 x^{2} = 4 x + 1$
178377	Solve for x	x/(x+1)-1/(x^2+x)=-4	$\frac{x}{x + 1} - \frac{1}{x^{2} + x} = - 4$
178378	Solve Using the Quadratic Formula	(x+4)^2+38=47	${(x + 4)}^{2} + 38 = 47$
178379	Simplify the Radical Expression	cube root of 432x^3	$\sqrt[3]{432 x^{3}}$
178380	Simplify	7 square root of 5*9 square root of 15	$7 \sqrt{5} \cdot 9 \sqrt{15}$
178381	Solve for c	log base 2 of 4c-20=6	$\log_{2} (4 c - 20) = 6$
178382	Graph	x/y=y-6	$\frac{x}{y} = y - 6$
178383	Simplify	(10^-2)^4	${(10^{- 2})}^{4}$
178384	Solve for y	3^(5y)<7^(y-2)	$3^{5 y} < 7^{y - 2}$
178385	Graph	f(x)=(-x)^(1/2)	$f (x) = {(- x)}^{\frac{1}{2}}$
178386	Solve the Inequality for x	x^2+5x-14>0	$x^{2} + 5 x - 14 > 0$
178387	Write in Standard Form	3x+x^2=0	$3 x + x^{2} = 0$
178388	Find the Product	(5x-6)^2	${(5 x - 6)}^{2}$
178389	Simplify	(-3x+21)/(-2x-4)*(x^2-16)/(x-7)	$\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x^{2} - 16}{x - 7}$
178390	Expand the Logarithmic Expression	log of (x^5 square root of z)/y	$\log (\frac{x^{5} \sqrt{z}}{y})$
178391	Graph	f(x)=3^x , f^-1(x) = log base 3 of x	$f (x) = 3^{x}$ , $f^{- 1} (x) = \log_{3} (x)$
178392	Find the x and y Intercepts	r(x)=(2x+6)/(-6x+3)	$r (x) = \frac{2 x + 6}{- 6 x + 3}$
178393	Find the Domain and Range	square root of x^2-3x	$\sqrt{x^{2} - 3 x}$
178394	Solve for r	3r=78+14	$3 r = 78 + 14$
178395	Write in Standard Form	-5x-17+x^2=4x^2	$- 5 x - 17 + x^{2} = 4 x^{2}$
178396	Solve for x	12-5x-4kx=y for x	$12 - 5 x - 4 k x = y$ for $x$
178397	Find the Inverse	y=x^(1/4)-6	$y = x^{\frac{1}{4}} - 6$
178398	Solve by Substitution	y=6x-7 -5x+y=-6	$y = 6 x - 7$ $- 5 x + y = - 6$
178399	Solve for a	( square root of x^3)/(x^(1/2))=x^a	$\frac{\sqrt{x^{3}}}{x^{\frac{1}{2}}} = x^{a}$
178400	Simplify	(2^3a^2b^4c^3)^(1/5)(2a^4b^3c^5)^(1/6)	${(2^{3} a^{2} b^{4} c^{3})}^{\frac{1}{5}} {(2 a^{4} b^{3} c^{5})}^{\frac{1}{6}}$