Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183301	Simplify the Radical Expression	- square root of -16	$- \sqrt{- 16}$
183302	Simplify	5 cube root of 8--4 square root of 16+9	$5 \sqrt[3]{8} - - 4 \sqrt{16} + 9$
183303	Evaluate	3/2(2)^2	$\frac{3}{2} {(2)}^{2}$
183304	Graph	(negative infinity,5) union (5,infinity)	$(- \infty, 5) \cup (5, \infty)$
183305	Evaluate	20% of 40	$20 %$ of $40$
183306	Find the Quotient	(x^5-1)÷(x-1)	$(x^{5} - 1) \div (x - 1)$
183307	Graph	y=x/(1+x^2)	$y = \frac{x}{1 + x^{2}}$
183308	Solve for n	P=n+k+m	$P = n + k + m$
183309	Solve the System of Equations	y=-x+2 y=3/5x-6	$y = - x + 2$ $y = \frac{3}{5} x - 6$
183310	Find the Volume	sphere (2cm)	 $\begin{array}{r} r = & 2 cm \end{array}$
183311	Solve the Inequality for x	\|x+1\|<2	$\| x + 1 \| < 2$
183312	Find the Exact Value	2/3-1/4	$\frac{2}{3} - \frac{1}{4}$
183313	Solve the Inequality for x	(x-4)/(x+5)>=0	$\frac{x - 4}{x + 5} \geq 0$
183314	Solve for n	n(n+1)+3=45	$n (n + 1) + 3 = 45$
183315	Simplify	((7^5)(7^3))^-4	${((7^{5}) (7^{3}))}^{- 4}$
183316	Solve for x	(x-2)^2-10(x-2)=-9	${(x - 2)}^{2} - 10 (x - 2) = - 9$
183317	Evaluate	(2^5-4*3^3)/(7+(1- square root of 100))	$\frac{2^{5} - 4 \cdot 3^{3}}{7 + (1 - \sqrt{100})}$
183318	Solve for a	a(-6)=-42	$a (- 6) = - 42$
183319	Determine if Perpendicular	y=x+7 and y=-x+2	$y = x + 7$ and $y = - x + 2$
183320	Solve the System of Equations	y=x+1 y=-1/2x+4	$y = x + 1$ $y = - \frac{1}{2} x + 4$
183321	Simplify	r/(r^2-9)-1/(r^2+8r+15)	$\frac{r}{r^{2} - 9} - \frac{1}{r^{2} + 8 r + 15}$
183322	Find the Sum and Product of the Roots of the Quadratic Equation	3x^2+x+1=0	$3 x^{2} + x + 1 = 0$
183323	Simplify	3 square root of 6*5 square root of 12	$3 \sqrt{6} \cdot 5 \sqrt{12}$
183324	Evaluate	3x^-3	$3 x^{- 3}$
183325	Solve for θ	sin(theta/2)=-( square root of 3)/2	$\sin (\frac{θ}{2}) = - \frac{\sqrt{3}}{2}$
183326	Find the Domain and Range	f^-1(x)=x-4	$f^{- 1} (x) = x - 4$
183327	Solve for x	(2x)/(x+2)+1=5/(x^2+2x)	$\frac{2 x}{x + 2} + 1 = \frac{5}{x^{2} + 2 x}$
183328	Solve for b	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
183329	Find the Axis of Symmetry	y=(x+5)^2	$y = {(x + 5)}^{2}$
183330	Evaluate	1+1^2	$1 + 1^{2}$
183331	Determine if a Polynomial	5z^3-2z^4-9z^2+z	$5 z^{3} - 2 z^{4} - 9 z^{2} + z$
183332	Graph	f(x)=-2x(x-1)(x+4)	$f (x) = - 2 x (x - 1) (x + 4)$
183333	Evaluate	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
183334	Graph	(3,(7pi)/6)	$(3, \frac{7 π}{6})$
183335	Evaluate	-2k+(-4k)+5	$- 2 k + (- 4 k) + 5$
183336	Find All Complex Solutions	x^(3/2)=27	$x^{\frac{3}{2}} = 27$
183337	Evaluate	10/(2pi)	$\frac{10}{2 π}$
183338	Factor	6+2x^2	$6 + 2 x^{2}$
183339	Evaluate	log base 1/4 of 1/64	$\log_{\frac{1}{4}} (\frac{1}{64})$
183340	Solve for b	4(b+23)=8b+23	$4 (b + 23) = 8 b + 23$
183341	Solve for k	28-k>=7(k-4)	$28 - k \geq 7 (k - 4)$
183342	Describe the Transformation	y=(x-2)^3+4	$y = {(x - 2)}^{3} + 4$
183343	Simplify the Radical Expression	square root of 9x^7	$\sqrt{9 x^{7}}$
183344	Graph	f(x)=(x-1)/(x^2)	$f (x) = \frac{x - 1}{x^{2}}$
183345	Solve for c	\|3c-4\|<12	$\| 3 c - 4 \| < 12$
183346	Graph	(x+4)	$(x + 4)$
183347	Solve for x	5-8\|-2x\|=-75	$5 - 8 \| - 2 x \| = - 75$
183348	Factor	3ax+ab-6x-2b	$3 a x + a b - 6 x - 2 b$
183349	Simplify	(20 square root of 270)/(4 square root of 3)	$\frac{20 \sqrt{270}}{4 \sqrt{3}}$
183350	Simplify	(3y^2-4y+1)+(-y^2+y-2)	$(3 y^{2} - 4 y + 1) + (- y^{2} + y - 2)$
183351	Solve the Inequality for y	-5x+3y>15	$- 5 x + 3 y > 15$
183352	Solve for x	3^x=9^3	$3^{x} = 9^{3}$
183353	Solve for x	4-7x+10=15-6x-8	$4 - 7 x + 10 = 15 - 6 x - 8$
183354	Subtract	2-5/3	$2 - \frac{5}{3}$
183355	Solve for z	square root of 8-7z- square root of z^2+20=0	$\sqrt{8 - 7 z} - \sqrt{z^{2} + 20} = 0$
183356	Solve the System of Equations	y=1/4x+5 y=-x-5	$y = \frac{1}{4} x + 5$ $y = - x - 5$
183357	Evaluate	5/(2(x+4)^2-6(x+4))	$\frac{5}{2 {(x + 4)}^{2} - 6 (x + 4)}$
183358	Subtract	Subtract -6x^2-2x+5 from 2x^2+8	Subtract $- 6 x^{2} - 2 x + 5$ from $2 x^{2} + 8$
183359	Solve for x	7/x+(4x)/(x-1)=4/(x^2-x)	$\frac{7}{x} + \frac{4 x}{x - 1} = \frac{4}{x^{2} - x}$
183360	Evaluate	2^(0+1)	$2^{0 + 1}$
183361	Simplify	(12z^2+20z)/(z^2+2z)	$\frac{12 z^{2} + 20 z}{z^{2} + 2 z}$
183362	Factor	25-x^2-16y^2+8xy	$25 - x^{2} - 16 y^{2} + 8 x y$
183363	Solve the Inequality for m	2.2m<11	$2.2 m < 11$
183364	Find the Domain of the Composition f(g(x))	f(x)=3x+1 , g(x) = square root of x	$f (x) = 3 x + 1$ , $g (x) = \sqrt{x}$
183365	Multiply	4/9271/2	$\frac{4}{9} \cdot 27 \cdot \frac{1}{2}$
183366	Graph	x^2>6x	$x^{2} > 6 x$
183367	Find the Domain and Range	f(x)=x+ square root of 4-x^2	$f (x) = x + \sqrt{4 - x^{2}}$
183368	Solve for c	-7+4c=7c+6	$- 7 + 4 c = 7 c + 6$
183369	Convert to Scientific Notation	(7.0610^5)÷5.310^-2	$7.06 \cdot 10^{5} \div 5.3 \cdot 10^{- 2}$
183370	Solve for Y	x=5/6(Y+Z)	$x = \frac{5}{6} (Y + Z)$
183371	Find the Domain and Range	y^2=x-3	$y^{2} = x - 3$
183372	Find the x and y Intercepts	f(x)=(x^2-4)(3-x)	$f (x) = (x^{2} - 4) (3 - x)$
183373	Solve for r	V=4/3pir^3	$V = \frac{4}{3} \cdot π \cdot r^{3}$
183374	Find f(g(x))	f(x)=1/(4x) g(x)=1/(4x)	$f (x) = \frac{1}{4 x}$ $g (x) = \frac{1}{4 x}$
183375	Graph	2\|x+2\|-3>=0	$2 \| x + 2 \| - 3 \geq 0$
183376	Write in Standard Form	y=(x-4)(x-2)	$y = (x - 4) (x - 2)$
183377	Write in Standard Form	(x-5)(x+3)-8=7	$(x - 5) (x + 3) - 8 = 7$
183378	Simplify	1.5r-3r+8r+2.5r	$1.5 r - 3 r + 8 r + 2.5 r$
183379	Solve for x	4(3x-9)^2-3=33	$4 {(3 x - 9)}^{2} - 3 = 33$
183380	Factor	3a^3b^2c+9ab^2c^3	$3 a^{3} b^{2} c + 9 a b^{2} c^{3}$
183381	Find the Holes in the Graph	f(x)=(x^2-36)/(x+6)	$f (x) = \frac{x^{2} - 36}{x + 6}$
183382	Simplify	(2x+20-6x^2)-(4-7x^2+12x)	$(2 x + 20 - 6 x^{2}) - (4 - 7 x^{2} + 12 x)$
183383	Simplify	x^2+x-x^2	$x^{2} + x - x^{2}$
183384	Simplify	(1/3)^-5	${(\frac{1}{3})}^{- 5}$
183385	Find the Product	(3xy-2y)(3xy-8yz)	$(3 x y - 2 y) (3 x y - 8 y z)$
183386	Multiply	(m^2+m-2)(2m^2+3m-4)	$(m^{2} + m - 2) (2 m^{2} + 3 m - 4)$
183387	Simplify	4/(5a^3b^2)+(9c)/(10ab)	$\frac{4}{5 a^{3} b^{2}} + \frac{9 c}{10 a b}$
183388	Divide Using Long Polynomial Division	(x^4+4x^3-5x^2+x-3)/(x^2+x-3)	$\frac{x^{4} + 4 x^{3} - 5 x^{2} + x - 3}{x^{2} + x - 3}$
183389	Solve for m	n+7m=d	$n + 7 m = d$
183390	Find All Complex Solutions	square root of -2x-5-4=x	$\sqrt{- 2 x - 5} - 4 = x$
183391	Evaluate the Function	f(-2)=-2^2	$f (- 2) = - 2^{2}$
183392	Solve the Inequality for x	x^2-36<=0	$x^{2} - 36 \leq 0$
183393	Simplify	-1/2+3/4	$- \frac{1}{2} + \frac{3}{4}$
183394	Solve for X	W=2XY+2XZ	$W = 2 X Y + 2 X Z$
183395	Solve for x	x=-1^2	$x = - 1^{2}$
183396	Write in Standard Form	(x+6)(3x-2)=5+2x	$(x + 6) (3 x - 2) = 5 + 2 x$
183397	Graph	y=3/2sin(x-pi/3)	$y = \frac{3}{2} \sin (x - \frac{π}{3})$
183398	Simplify	x/(x^2+7x+12)+4/(x^2-16)	$\frac{x}{x^{2} + 7 x + 12} + \frac{4}{x^{2} - 16}$
183399	Solve the Inequality for x	x-7>-3.1	$x - 7 > - 3.1$
183400	Find the x and y Intercepts	f(x) = square root of -x-2-2	$f (x) = \sqrt{- x - 2} - 2$