Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188101	Factor	R(x)=(x^2+x-12)/(x^2-x-6)	$R (x) = \frac{x^{2} + x - 12}{x^{2} - x - 6}$
188102	Evaluate	sin(theta)=4/5	$\sin (θ) = \frac{4}{5}$
188103	Graph Using a Table of Values	y=-2(1/2)^x	$y = - 2 {(\frac{1}{2})}^{x}$
188104	Simplify	(8i)/(-4-4i)	$\frac{8 i}{- 4 - 4 i}$
188105	Graph	5x-2y>=-14 x<-1	$5 x - 2 y \geq - 14$ $x < - 1$
188106	Find All Complex Solutions	log base 5 of x=2	$\log_{5} (x) = 2$
188107	Determine if Parallel	3x+2y=8 2x+3y=-12	$3 x + 2 y = 8$ $2 x + 3 y = - 12$
188108	Solve for v	(\|-9+v\|)/8=3	$\frac{\| - 9 + v \|}{8} = 3$
188109	Solve for y	y=4+\|9-16\|	$y = 4 + \| 9 - 16 \|$
188110	Solve the System of Inequalities	6b-1<=41 or 2b+1>=11	$6 b - 1 \leq 41$ or $2 b + 1 \geq 11$
188111	Subtract	Subtract -2x^2+3x-9 from 8x^2+10x-10	Subtract $- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$
188112	Find the Exact Value	sec(pi/2)^2	$\sec^{2} (\frac{π}{2})$
188113	Solve the System of Equations	x+y+2z=-3 2x+y-2z=4 x+2y-z=5	$x + y + 2 z = - 3$ $2 x + y - 2 z = 4$ $x + 2 y - z = 5$
188114	Multiply	(x^2-2xy+y^2)(x-y)	$(x^{2} - 2 x y + y^{2}) (x - y)$
188115	Write as a Single Logarithm	log of 20+ log of 15-2 log of 5	$\log (20) + \log (15) - 2 \log (5)$
188116	Combine Like Terms	5(-3p+7)+5(p-1)	$5 (- 3 p + 7) + 5 (p - 1)$
188117	Solve for x	10^(4x+1)>100^(x-2)	$10^{4 x + 1} > 100^{x - 2}$
188118	Solve for θ	(tan(theta)+1)(sec(theta)-1)=0	$(\tan (θ) + 1) (\sec (θ) - 1) = 0$
188119	Write in Standard Form	(-8r^2+11r-6)+(-7r^2-9r+14)	$(- 8 r^{2} + 11 r - 6) + (- 7 r^{2} - 9 r + 14)$
188120	Find the Fourth Term	20 , -10 , 5	$20$ , $- 10$ , $5$
188121	Divide	(-8x^8+18x^6)/(-2x^4)	$\frac{- 8 x^{8} + 18 x^{6}}{- 2 x^{4}}$
188122	Graph	f(x)=infinity	$f (x) = \infty$
188123	Solve for p	1/3(p-9)=4(p+2)	$\frac{1}{3} (p - 9) = 4 (p + 2)$
188124	Graph	theta=120 degrees	$θ = 120 °$
188125	Solve for a	b/(a+5)=3	$\frac{b}{a + 5} = 3$
188126	Graph	5x-20>=0	$5 x - 20 \geq 0$
188127	Graph	2x-y>4 2x-y<-2	$2 x - y > 4$ $2 x - y < - 2$
188128	Solve for x	x^2=x+1	$x^{2} = x + 1$
188129	Solve for a	3+2a-8-5=25+3	$3 + 2 a - 8 - 5 = 25 + 3$
188130	Solve for r	(r,-5) , (3,13) , m=8	$(r, - 5)$ , $(3, 13)$ , $m = 8$
188131	Simplify	4x-(2y-(5x-4y))	$4 x - (2 y - (5 x - 4 y))$
188132	Find the x and y Intercepts	y = cube root of x+1	$y = \sqrt[3]{x + 1}$
188133	Solve for x	-6 cube root of 10x+11=-19	$- 6 \sqrt[3]{10 x} + 11 = - 19$
188134	Solve for x	0=-x^2+4	$0 = - x^{2} + 4$
188135	Combine Like Terms	8(x+5)-4(x+4)	$8 (x + 5) - 4 (x + 4)$
188136	Solve for a	x sixth root of x=x^a	$x \sqrt[6]{x} = x^{a}$
188137	Find the x and y Intercepts	f(x)=(5x+1)^2(x+1)	$f (x) = {(5 x + 1)}^{2} (x + 1)$
188138	Find the End Behavior	f(x)=-3x^2(3x+5)(2x-1)(x+3)(x-5)	$f (x) = - 3 x^{2} (3 x + 5) (2 x - 1) (x + 3) (x - 5)$
188139	Evaluate	(6375660)/(705280)	$\frac{63756 \cdot 60}{70 \cdot 5280}$
188140	Describe the Transformation	h(x)=f(x)+2	$h (x) = f (x) + 2$
188141	Simplify	(-8+ square root of 64-28)/(2(-3))	$\frac{- 8 + \sqrt{64 - 28}}{2 (- 3)}$
188142	Solve for w	3w+4-w=5w-2(w-2)	$3 w + 4 - w = 5 w - 2 (w - 2)$
188143	Graph Using a Table of Values	y=2^(x+2)	$y = 2^{x + 2}$
188144	Graph	f(x)=(x+3)^2(2-x)	$f (x) = {(x + 3)}^{2} (2 - x)$
188145	Write in Standard Form	-3(2x-1)(2x+1)=2	$- 3 (2 x - 1) (2 x + 1) = 2$
188146	Find the Exact Value	cos(arccos(-( square root of 3)/2))	$\cos (\arccos (- \frac{\sqrt{3}}{2}))$
188147	Find the Function	f(x)=x^2+x+1	$f (x) = x^{2} + x + 1$
188148	Multiply	(m^2-mn+n^2)(m+n)	$(m^{2} - m n + n^{2}) (m + n)$
188149	Solve for x	0=sin(x)	$0 = \sin (x)$
188150	Find the Exact Value	3*1/2	$3 \cdot \frac{1}{2}$
188151	Solve for x	A=1/2h(x+y)	$A = \frac{1}{2} h (x + y)$
188152	Write in Slope-Intercept Form	(6,-6) and (8,8)	$(6, - 6)$ and $(8, 8)$
188153	Simplify	1/2*1	$\frac{1}{2} \cdot 1$
188154	Solve for x	2 square root of x-x=-3	$2 \sqrt{x} - x = - 3$
188155	Solve for x	(x+5)/(x+2)+(3x)/(x-2)=(3x)/(x-2)	$\frac{x + 5}{x + 2} + \frac{3 x}{x - 2} = \frac{3 x}{x - 2}$
188156	Graph	m(x)=-2cos(x+pi)	$m (x) = - 2 \cos (x + π)$
188157	Find the Roots (Zeros)	17x^2-21x=-3x^2-5	$17 x^{2} - 21 x = - 3 x^{2} - 5$
188158	Simplify	(25/x-x)/(2+10/x)	$\frac{\frac{25}{x} - x}{2 + \frac{10}{x}}$
188159	Solve for r	1=prt	$1 = p r t$
188160	Find the Equation Using Point-Slope Formula	(-1,-10) and (5,2)	$(- 1, - 10)$ and $(5, 2)$
188161	Evaluate	(1/5)^(-3.5+1)	${(\frac{1}{5})}^{- 3.5 + 1}$
188162	Solve for x	(3x-2)/4=x/2	$\frac{3 x - 2}{4} = \frac{x}{2}$
188163	Find the Quotient	(4x^5-x^3-2x^2-180x+14)/(x^2-7)	$\frac{4 x^{5} - x^{3} - 2 x^{2} - 180 x + 14}{x^{2} - 7}$
188164	Factor	49x^4-4(x^2-3x)^2	$49 x^{4} - 4 {(x^{2} - 3 x)}^{2}$
188165	Solve for y	30y=9y^2+25	$30 y = 9 y^{2} + 25$
188166	Solve the Inequality for x	2(x+3)>=4(x-1)	$2 (x + 3) \geq 4 (x - 1)$
188167	Multiply	(x^3+3x^2+1)(3x^2+6x-2)	$(x^{3} + 3 x^{2} + 1) (3 x^{2} + 6 x - 2)$
188168	Factor	9-12x+6y	$9 - 12 x + 6 y$
188169	Find the Exact Value	cm	$cm$
188170	Evaluate the Function	f(-8) = square root of x+8+2	$f (- 8) = \sqrt{x + 8} + 2$
188171	Solve for b	2b-(3b-4)=-2	$2 b - (3 b - 4) = - 2$
188172	Solve for k	x^2-4x+k=0	$x^{2} - 4 x + k = 0$
188173	Evaluate	2^-2(123)-5^3	$2^{- 2} \cdot (12 \cdot 3) - 5^{3}$
188174	Multiply	1/2x^2(8x^2-6x+1)	$\frac{1}{2} x^{2} (8 x^{2} - 6 x + 1)$
188175	Evaluate	3+(5+4)(8-6)	$3 + (5 + 4) (8 - 6)$
188176	Solve for w	4w-y=3z	$4 w - y = 3 z$
188177	Evaluate	(5!)/((5-5)!5!)	$\frac{5!}{(5 - 5)! 5!}$
188178	Solve the Inequality for B	18+0.08B>=75	$18 + 0.08 B \geq 75$
188179	Evaluate	1-(1/2)^-3	$1 - {(\frac{1}{2})}^{- 3}$
188180	Find All Complex Solutions	log base 3 of x=4	$\log_{3} (x) = 4$
188181	Find g(f(x))	f(x)=7x+2 g(x)=(x^2)/(x-5)	$f (x) = 7 x + 2$ $g (x) = \frac{x^{2}}{x - 5}$
188182	Solve by Substitution	y=2x+3 and 2y+2x=-6	$y = 2 x + 3$ and $2 y + 2 x = - 6$
188183	Solve the System of Inequalities	1/6<(2x-13)/12<=2/3	$\frac{1}{6} < \frac{2 x - 13}{12} \leq \frac{2}{3}$
188184	Solve for q	44q+3q-40q-2q=35	$44 q + 3 q - 40 q - 2 q = 35$
188185	Find the Exact Value	square root of 3^2+4^2	$\sqrt{3^{2} + 4^{2}}$
188186	Graph	y<=-x+4 , y<x+2 , y>=0 , x>=0	$y \leq - x + 4$ , $y < x + 2$ , $y \geq 0$ , $x \geq 0$
188187	Solve the Inequality for x	x/-3<=3	$\frac{x}{- 3} \leq 3$
188188	Graph	-1>=-1+x	$- 1 \geq - 1 + x$
188189	Simplify	(2+ square root of -8)/(1+ square root of -2)	$\frac{2 + \sqrt{- 8}}{1 + \sqrt{- 2}}$
188190	Solve for g	(3g+1)^(1/2)-6=4	${(3 g + 1)}^{\frac{1}{2}} - 6 = 4$
188191	Solve Using the Quadratic Formula	(4y-3)*2=72	$(4 y - 3) \cdot 2 = 72$
188192	Solve for x	y=x^(1/3)	$y = x^{\frac{1}{3}}$
188193	Factor by Grouping	80x^5-70x^2-60x^7	$80 x^{5} - 70 x^{2} - 60 x^{7}$
188194	Factor	ax-ay+az+x-y+z	$a x - a y + a z + x - y + z$
188195	Evaluate	picos(pi)	$π \cos (π)$
188196	Factor	19x^10(y+4)+7(y-4)	$19 x^{10} (y + 4) + 7 (y - 4)$
188197	Identify the Conic	6x^2+12x+6y^2-8y=100	$6 x^{2} + 12 x + 6 y^{2} - 8 y = 100$
188198	Graph	y<x+4 y<=-1/2x+1	$y < x + 4$ $y \leq - \frac{1}{2} x + 1$
188199	Solve for x	x+5=x/3	$x + 5 = \frac{x}{3}$
188200	Solve for x	(7x+3)/2-(9x-8)/4=6	$\frac{7 x + 3}{2} - \frac{9 x - 8}{4} = 6$