Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42101	Add	3 fourth root of 256+- cube root of 64+ square root of 169	$3 \sqrt[4]{256} + - \sqrt[3]{64} + \sqrt{169}$
42102	Simplify	(2(nm^4))/(2m^-1n^-2*n^3)	$\frac{2 n m^{4}}{2 m^{- 1} n^{- 2} \cdot n^{3}}$
42103	Simplify	(a^2-2)(a^4+2a^2+4)	$(a^{2} - 2) (a^{4} + 2 a^{2} + 4)$
42104	Evaluate the Function	f(1/2)=-2/3x+5	$f (\frac{1}{2}) = - \frac{2}{3} x + 5$
42105	Find the Derivative - d/dx	-( cube root of x^4)/6	$- \frac{\sqrt[3]{x^{4}}}{6}$
42106	Solve for x	3x=1+2 square root of x	$3 x = 1 + 2 \sqrt{x}$
42107	Simplify	( square root of 5y^2)^2	${(\sqrt{5} y^{2})}^{2}$
42108	Find the Other Trig Values in Quadrant I	cos(30 degrees )=( square root of 3)/2	$\cos (30 °) = \frac{\sqrt{3}}{2}$
42109	Simplify	(2m+n-1)*-5(2m+n-1)	$(2 m + n - 1) \cdot - 5 (2 m + n - 1)$
42110	Simplify	-(3(v^-1)^5)/(2v^-1)	$- \frac{3 {(v^{- 1})}^{5}}{2 v^{- 1}}$
42111	Simplify the Radical Expression	6x square root of 3x-6 square root of 48x^3	$6 x \sqrt{3 x} - 6 \sqrt{48 x^{3}}$
42112	Find the Domain	(3a+12b)/(6ab)	$\frac{3 a + 12 b}{6 a b}$
42113	Find All Complex Number Solutions	x^4=-2+2 square root of 3i	$x^{4} = - 2 + 2 \sqrt{3} i$
42114	Divide	(8x^8y^8)/(x^5y^5)	$\frac{8 x^{8} y^{8}}{x^{5} y^{5}}$
42115	Simplify	(4x^-3)/(2y^0)	$\frac{4 x^{- 3}}{2 y^{0}}$
42116	Simplify	5/(x+y)+5/(x^2-y^2)	$\frac{5}{x + y} + \frac{5}{x^{2} - y^{2}}$
42117	Solve for c	25=c^2	$25 = c^{2}$
42118	Subtract	16/16-4/8	$\frac{16}{16} - \frac{4}{8}$
42119	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+13x^2+27x+14 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 13 x^{2} + 27 x + 14$ is divided by $3 x + 2$
42120	Solve for x	4\|3-3x\|-6<30	$4 \| 3 - 3 x \| - 6 < 30$
42121	Simplify	4x^3-2x^2-4x--3x+x^3-2x^2	$4 x^{3} - 2 x^{2} - 4 x - - 3 x + x^{3} - 2 x^{2}$
42122	Solve the System of Equations	5x-y=-9 and 3x+4y=13	$5 x - y = - 9$ and $3 x + 4 y = 13$
42123	Solve for x	2(6-2x)-2x=2(5+x)-4	$2 (6 - 2 x) - 2 x = 2 (5 + x) - 4$
42124	Integrate Using u-Substitution	integral of sin(4x)cos(4x) with respect to x	$\int \sin (4 x) \cos (4 x) d x$
42125	Simplify	(m+m^2)/m	$\frac{m + m^{2}}{m}$
42126	Graph	y=-1/2x-1 and y=1/4x-4	$y = - \frac{1}{2} x - 1$ and $y = \frac{1}{4} x - 4$
42127	Solve for x	3tan(3x) = square root of 3	$3 \tan (3 x) = \sqrt{3}$
42128	Write in Standard Form	2x^2+3=1-x	$2 x^{2} + 3 = 1 - x$
42129	Graph	f(x)=xsin(x)	$f (x) = x \sin (x)$
42130	Find All Complex Solutions	1/(x-2)-2/(x-3)=-1/(x^2-5x+6)	$\frac{1}{x - 2} - \frac{2}{x - 3} = \frac{- 1}{x^{2} - 5 x + 6}$
42131	Write in Standard Form	x^4y^2+4x^3y+10x^2	$x^{4} y^{2} + 4 x^{3} y + 10 x^{2}$
42132	Determine if Continuous	f(x)=(x^2-x-12)/(x-4),x!=4; 7,x=4	$f (x) = {\begin{cases} \frac{x^{2} - x - 12}{x - 4}, x \neq 4 \\ 7, x = 4 \end{cases}$
42133	Graph	y+42>=-x^2-13x	$y + 42 \geq - x^{2} - 13 x$
42134	Find the Slope	(12,4) and (14,-2)	$(12, 4)$ and $(14, - 2)$
42135	Solve for n	-3+n=6n+22	$- 3 + n = 6 n + 22$
42136	Find the End Behavior	y=12x^4-x+3x^7-1	$y = 12 x^{4} - x + 3 x^{7} - 1$
42137	Simplify	(((-1)^3)/((-3)^-1))^2	${(\frac{{(- 1)}^{3}}{{(- 3)}^{- 1}})}^{2}$
42138	Solve by Graphing	2x-3y=-12 y=-5/3x-3	$2 x - 3 y = - 12$ $y = - \frac{5}{3} x - 3$
42139	Simplify	(3x-y)(6x^2+5xy-7y^2)	$(3 x - y) (6 x^{2} + 5 x y - 7 y^{2})$
42140	Evaluate the Limit	limit as x approaches pi/2 of (1/(cos(x)))^2	$lim_{x \to \frac{π}{2}} {(\frac{1}{\cos (x)})}^{2}$
42141	Find the Derivative - d/dx	y=tan(x)+1/3tan(x)^3	$y = \tan (x) + \frac{1}{3} \tan^{3} (x)$
42142	Find the Derivative - d/dx	sin(x)x^2	$\sin (x) x^{2}$
42143	Solve the System of Inequalities	m+9<8 and -2m>=10	$m + 9 < 8$ and $- 2 m \geq 10$
42144	Find the Slope	(-7,-7) and (-9,1)	$(- 7, - 7)$ and $(- 9, 1)$
42145	Find the Product	square root of 2a^3b^3* cube root of 4ab^2	$\sqrt{2 a^{3} b^{3}} \cdot \sqrt[3]{4 a b^{2}}$
42146	Find the Derivative - d/dx	xe^y+ye^x	$x e^{y} + y e^{x}$
42147	Find the Domain and Range	f(x)=-3+1/2 square root of x-4	$f (x) = - 3 + \frac{1}{2} \sqrt{x - 4}$
42148	Graph	cot(theta)>0 and sin(theta)<0	$\cot (θ) > 0$ and $\sin (θ) < 0$
42149	Graph	2x+y<=4 and x-1>0	$2 x + y \leq 4$ and $x - 1 > 0$
42150	Solve for r	12-q+r=P	$12 - q + r = P$
42151	Simplify	14/( square root of 4x^3)	$\frac{14}{\sqrt{4 x^{3}}}$
42152	Evaluate the Integral	integral of 5tan(3x) natural log of sec(3x) with respect to x	$\int 5 \tan (3 x) \ln (\sec (3 x)) d x$
42153	Simplify	-2/5(10+15m-20n)	$- \frac{2}{5} (10 + 15 m - 20 n)$
42154	Subtract	(r^3-6rs+6s^2)-(3r^3+rs-4s^2)	$(r^{3} - 6 r s + 6 s^{2}) - (3 r^{3} + r s - 4 s^{2})$
42155	Solve for x	(4x)/6=8	$\frac{4 x}{6} = 8$
42156	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-7,-7) and has a slope of 1 ?	What is the equation of the line that passes through the point $(- 7, - 7)$ and has a slope of $1$ ?
42157	Find All Complex Number Solutions	z=-1+ square root of 3i	$z = - 1 + \sqrt{3} i$
42158	Simplify	3+ square root of 5*3- square root of 5	$3 + \sqrt{5} \cdot 3 - \sqrt{5}$
42159	Subtract	-3/4--1/2	$\frac{- 3}{4} - \frac{- 1}{2}$
42160	Solve for x	x+1/(x-1)=(2x-1)/(x-1)	$x + \frac{1}{x - 1} = \frac{2 x - 1}{x - 1}$
42161	Simplify	cube root of (192x^7)/(1029x^10)	$\sqrt[3]{\frac{192 x^{7}}{1029 x^{10}}}$
42162	Solve for k	4k+7(-4-2k)=-2(k-2)	$4 k + 7 (- 4 - 2 k) = - 2 (k - 2)$
42163	Find the Holes in the Graph	(x+3)/((x-1)(x+3))	$\frac{x + 3}{(x - 1) (x + 3)}$
42164	Graph	(x-1)^2+(y-2)^2<=4	${(x - 1)}^{2} + {(y - 2)}^{2} \leq 4$
42165	Find the Holes in the Graph	f(x)=(x^2+x-2)/(3x+6)	$f (x) = \frac{x^{2} + x - 2}{3 x + 6}$
42166	Graph	Graph the line y=-1	Graph the line $y = - 1$
42167	Evaluate the Function	g(4)=25-3*4	$g (4) = 25 - 3 \cdot 4$
42168	Simplify	(3 square root of 11+ square root of 3)/( square root of 11- square root of 3)	$\frac{3 \sqrt{11} + \sqrt{3}}{\sqrt{11} - \sqrt{3}}$
42169	Find the Reference Angle	cot(-(5pi)/6)	$\cot (- \frac{5 π}{6})$
42170	Solve the Absolute Value Inequality for c	10=\|-15+3c\|	$10 = \| - 15 + 3 c \|$
42171	Solve by Substitution	x-2y=8 and 8x+6y=42	$x - 2 y = 8$ and $8 x + 6 y = 42$
42172	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+x^2-10x-16 is divided by x+2	Use the long division method to find the result when $x^{3} + x^{2} - 10 x - 16$ is divided by $x + 2$
42173	Graph	(x^3)/(x^2+1)	$\frac{x^{3}}{x^{2} + 1}$
42174	Simplify	x^-3y^2(yx^4+y^-1x^3+y^-2x^2)	$x^{- 3} y^{2} (y x^{4} + y^{- 1} x^{3} + y^{- 2} x^{2})$
42175	Graph	y<=2x-1 y<-3	$y \leq 2 x - 1$ $y < - 3$
42176	Solve the Inequality for x	x/(3x-5)<=2/(x-1)	$\frac{x}{3 x - 5} \leq \frac{2}{x - 1}$
42177	Write as a Single Logarithm	1/2 natural log of x+2 natural log of x	$\frac{1}{2} \ln (x) + 2 \ln (x)$
42178	Simplify	9-3 square root of 2+ square root of 2*3- square root of 2^2	$9 - 3 \sqrt{2} + \sqrt{2} \cdot 3 - \sqrt{2^{2}}$
42179	Simplify the Radical Expression	square root of 32x^3-7x square root of 8x	$\sqrt{32 x^{3}} - 7 x \sqrt{8 x}$
42180	Solve for a	8-(2a+7)=a+40	$8 - (2 a + 7) = a + 40$
42181	Evaluate	2+pi/2	$2 + \frac{π}{2}$
42182	Find the Upper and Lower Bounds	F(x)=2x^3+3x^2-13x-15	$F (x) = 2 x^{3} + 3 x^{2} - 13 x - 15$
42183	Simplify	(1/(x+2))^2+7(1/(x+2))+6	${(\frac{1}{x + 2})}^{2} + 7 (\frac{1}{x + 2}) + 6$
42184	Solve the Inequality for x	-4(4+7x)+x>=-6x+5	$- 4 (4 + 7 x) + x \geq - 6 x + 5$
42185	Solve for c	c=2pi*5	$c = 2 π \cdot 5$
42186	Evaluate the Integral	integral of 8(4x^2-5)^9x with respect to x	$\int 8 {(4 x^{2} - 5)}^{9} x d x$
42187	Solve for n	8-(n+1/7x)=3n for n	$8 - (n + \frac{1}{7} x) = 3 n$ for $n$
42188	Graph	(x)=x+3	$(x) = x + 3$
42189	Factor	x^2-11x+19=-5	$x^{2} - 11 x + 19 = - 5$
42190	Graph	x^2y	$x^{2} y$
42191	Find the Slope	(-4,7) and (4,3)	$(- 4, 7)$ and $(4, 3)$
42192	Graph	p(x)=(x+5)(x)	$p (x) = (x + 5) (x)$
42193	Subtract	(4x^3-3x^2+6x-4)-(-2x^3+x^2-2)	$(4 x^{3} - 3 x^{2} + 6 x - 4) - (- 2 x^{3} + x^{2} - 2)$
42194	Find the Inflection Points	-1/3x^3-9x^2	$- \frac{1}{3} x^{3} - 9 x^{2}$
42195	Evaluate	(C(401)-C*400)/(401-400)	$\frac{C (401) - C \cdot 400}{401 - 400}$
42196	Simplify	square root of 81	square root of $81$
42197	Graph	x^2+y^2<=25 y<-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y < - \| x \| + 2$
42198	Solve the Inequality for x	2x^2>0	$2 x^{2} > 0$
42199	Subtract	-8x^2+3 and -9x^2+3x-3	$- 8 x^{2} + 3$ and $- 9 x^{2} + 3 x - 3$
42200	Find the Domain and Range	d(y)=y+3	$d (y) = y + 3$