Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236101	Graph	x^2+y	$x^{2} + y$
236102	Simplify the Radical Expression	cube root of square root of 16	$\sqrt[3]{\sqrt{16}}$
236103	Simplify	(10x^5+1x+8)+(2x^5+8x^2+4)	$(10 x^{5} + 1 x + 8) + (2 x^{5} + 8 x^{2} + 4)$
236104	Solve for x	1/2x-20-x=3(2x-1)-(2x-1)	$\frac{1}{2} x - 20 - x = 3 (2 x - 1) - (2 x - 1)$
236105	Find All Complex Solutions	square root of x-1-5=x-8	$\sqrt{x - 1} - 5 = x - 8$
236106	Solve the Rational Equation for x	square root of 5x+14=x+4	$\sqrt{5 x + 14} = x + 4$
236107	Solve the Inequality for x	2x>x+7	$2 x > x + 7$
236108	Solve for x	1/4x+2/3-x=3/5x-1/2	$\frac{1}{4} x + \frac{2}{3} - x = \frac{3}{5} x - \frac{1}{2}$
236109	Solve the Rational Equation for x	-6+ square root of x+10=2	$- 6 + \sqrt{x + 10} = 2$
236110	Find the Inverse	y=(2x+3)/(x-1)	$y = \frac{2 x + 3}{x - 1}$
236111	Simplify	(-(35p^6q^8)/(5r^-5))^2	${(- \frac{35 p^{6} q^{8}}{5 r^{- 5}})}^{2}$
236112	Find the Domain and Range	f(x) = square root of 2x-2	$f (x) = \sqrt{2} x - 2$
236113	Simplify	cot(x)sin(x)sec(x)^2	$\cot (x) \sin (x) \sec^{2} (x)$
236114	Find the Roots (Zeros)	x^4-5x^3+9x^2-9x=0	$x^{4} - 5 x^{3} + 9 x^{2} - 9 x = 0$
236115	Solve for x	0.5^(x+2)>9	${0.5}^{x + 2} > 9$
236116	Solve for x	square root of x-x+6=0	$\sqrt{x} - x + 6 = 0$
236117	Find f(g(x))	f(x)=x+4 g(x)=x^2	$f (x) = x + 4$ $g (x) = x^{2}$
236118	Multiply	square root of 2x^2* square root of 4x	$\sqrt{2 x^{2}} \cdot \sqrt{4 x}$
236119	Factor	12x^-6+7x^-5+x^-4	$12 x^{- 6} + 7 x^{- 5} + x^{- 4}$
236120	Factor	9x^2(x+6)-(x+6)	$9 x^{2} (x + 6) - (x + 6)$
236121	Simplify	((6a^3b^4)/(z^2y^4))^-3*((2zy)/(3ab))^-2	${(\frac{6 a^{3} b^{4}}{z^{2} y^{4}})}^{- 3} \cdot {(\frac{2 z y}{3 a b})}^{- 2}$
236122	Simplify	(7(3)^4)^0	${(7 {(3)}^{4})}^{0}$
236123	Solve by Substitution	x^2+y^2=49 y=7-x	$x^{2} + y^{2} = 49$ $y = 7 - x$
236124	Solve the Inequality for x	10/(x+2)<=5	$\frac{10}{x + 2} \leq 5$
236125	Simplify	(x^3-x^2y)-(xy^2+y^3)+(x^2y+xy^2)	$(x^{3} - x^{2} y) - (x y^{2} + y^{3}) + (x^{2} y + x y^{2})$
236126	Solve the Inequality for h	4h-13<-5	$4 h - 13 < - 5$
236127	Solve the System of Inequalities	16x^2+4y^2<=64 y>=-x^2+2	$16 x^{2} + 4 y^{2} \leq 64$ $y \geq - x^{2} + 2$
236128	Solve for n	m=n-18	$m = n - 18$
236129	Simplify	square root of 5( square root of 15x+3)	$\sqrt{5} (\sqrt{15 x} + 3)$
236130	Solve for x	3x-1<=2x+4	$3 x - 1 \leq 2 x + 4$
236131	Find the End Behavior	B(x)=7x^4-5x^3+10x^2-4x+1	$B (x) = 7 x^{4} - 5 x^{3} + 10 x^{2} - 4 x + 1$
236132	Solve for x	3x-5 = square root of 6x+5	$3 x - 5 = \sqrt{6 x + 5}$
236133	Combine Like Terms	-3y+12x-y-3x	$- 3 y + 12 x - y - 3 x$
236134	Evaluate	1/2(1-0.97)	$\frac{1}{2} (1 - 0.97)$
236135	Solve for h	15 = square root of 2(9.8)h	$15 = \sqrt{2 (9.8) h}$
236136	Solve the Inequality for x	2x-16>4x	$2 x - 16 > 4 x$
236137	Evaluate	-3x^2=150	$- 3 x^{2} = 150$
236138	Simplify	((x^2y)^(1/4))/(x^(-1/2)y^(1/2))	$\frac{{(x^{2} y)}^{\frac{1}{4}}}{x^{- \frac{1}{2}} y^{\frac{1}{2}}}$
236139	Solve for u	29=-3u-5u-27	$29 = - 3 u - 5 u - 27$
236140	Solve for x	(5+x)k=z	$(5 + x) k = z$
236141	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,4) and has a slope of 3 ?	What is the equation of the line that passes through the point $(4, 4)$ and has a slope of $3$ ?
236142	Evaluate	(34)÷2+(120-2)	$3 \times 4 \div 2 + (12 \times 0 - 2)$
236143	Simplify	y^-6y^5y^0	$y^{- 6} \cdot y^{5} \cdot y^{0}$
236144	Solve for x	2^(x+1)+2^x=3^(y+2)-3^y	$2^{x + 1} + 2^{x} = 3^{y + 2} - 3^{y}$
236145	Simplify	square root of 9a^6bc^3	$\sqrt{9 a^{6} b c^{3}}$
236146	Simplify	(t^2+3)/(t^4-16)+7/(16-t^4)	$\frac{t^{2} + 3}{t^{4} - 16} + \frac{7}{16 - t^{4}}$
236147	Graph	2/3h>14	$\frac{2}{3} h > 14$
236148	Solve the Inequality for B	12B>36	$12 B > 36$
236149	Solve by Graphing	y=(x-3)^2+5 y=5	$y = {(x - 3)}^{2} + 5$ $y = 5$
236150	Evaluate	36^(2x-7)=6^(x-5)	$36^{2 x - 7} = 6^{x - 5}$
236151	Evaluate Using the Given Value	y-(4-x-y÷2) ; use x=3 ; and y=2	$y - (4 - x - y \div 2)$ ; use $x = 3$ ; and $y = 2$
236152	Simplify the Radical Expression	fourth root of 10^5x	$\sqrt[4]{10^{5} x}$
236153	Find the Points of Intersection	8x-2y=5 -12x+3y=7	$8 x - 2 y = 5$ $- 12 x + 3 y = 7$
236154	Solve for x	x+5 = log base 4 of 256	$x + 5 = \log_{4} (256)$
236155	Solve for n	square root of -30+11n=n	$\sqrt{- 30 + 11 n} = n$
236156	Write in Standard Form	12x^3+5x^6+4x^5-2x^8	$12 x^{3} + 5 x^{6} + 4 x^{5} - 2 x^{8}$
236157	Graph	y=csc(pi-x)	$y = \csc (π - x)$
236158	Find the Roots (Zeros)	(x-1)	$(x - 1)$
236159	Identify the Zeros and Their Multiplicities	f(x)=7(x^2+1)^2(x-4)^3	$f (x) = 7 {(x^{2} + 1)}^{2} {(x - 4)}^{3}$
236160	Simplify	7/(5-u)-(2+u)/(5-u)	$\frac{7}{5 - u} - \frac{2 + u}{5 - u}$
236161	Solve for x	2x^2-4x=t	$2 x^{2} - 4 x = t$
236162	Graph	y=2^y	$y = 2^{y}$
236163	Simplify	3*3^3	$3 \times 3^{3}$
236164	Simplify	y/(x^3)+xy	$\frac{y}{x^{3}} + x y$
236165	Solve for c	7(-3c+10)=4(-6c+18)+10	$7 (- 3 c + 10) = 4 (- 6 c + 18) + 10$
236166	Simplify the Radical Expression	(27x^12y^-21)^(2/3)	${(27 x^{12} y^{- 21})}^{\frac{2}{3}}$
236167	Evaluate	-csc(pi/3)	$- \csc (\frac{π}{3})$
236168	Write in Standard Form	-7-(4-5i)-(2-4i)	$- 7 - (4 - 5 i) - (2 - 4 i)$
236169	Simplify	9yi^4+yi	$9 y i^{4} + y i$
236170	Simplify	12x-(7y-8x)+4x-11y	$12 x - (7 y - 8 x) + 4 x - 11 y$
236171	Write in Standard Form	x+3x^2=8x+6	$x + 3 x^{2} = 8 x + 6$
236172	Find the Points of Intersection	x+2y=-1 2x+4y=-2	$x + 2 y = - 1$ $2 x + 4 y = - 2$
236173	Simplify the Radical Expression	square root of 27+ square root of 75	$\sqrt{27} + \sqrt{75}$
236174	Factor	xy^2-by^2-ax+ab+y^2-a	$x y^{2} - b y^{2} - a x + a b + y^{2} - a$
236175	Simplify	-6yi-9xi^4	$- 6 y i - 9 x i^{4}$
236176	Evaluate	(y^-7)/(x^7x^8y^-7)	$\frac{y^{- 7}}{x^{7} x^{8} y^{- 7}}$
236177	Solve the Inequality for x	-x^2-9x+36>=-4x	$- x^{2} - 9 x + 36 \geq - 4 x$
236178	Solve the Rational Equation for x	square root of 2x-1+3=6	$\sqrt{2 x - 1} + 3 = 6$
236179	Simplify	x^-3y^2x^-4y^24y^-1	$x^{- 3} y^{2} \cdot x^{- 4} y^{2} \cdot 4 y^{- 1}$
236180	Find the Exact Value	(-( square root of 2)/2)/(( square root of 2)/2)	$\frac{- \frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$
236181	Solve for x	(x+3)/x-(x+1)/(x+4)=5/x	$\frac{x + 3}{x} - \frac{x + 1}{x + 4} = \frac{5}{x}$
236182	Find the Roots (Zeros)	y=2cos(x)	$y = 2 \cos (x)$
236183	Solve for x	4x^2-4x=-4x+1	$4 x^{2} - 4 x = - 4 x + 1$
236184	Find the x and y Intercepts	(x-2)^2+y^2=13	${(x - 2)}^{2} + y^{2} = 13$
236185	Solve the System of Equations	4x^2+y=3 -x-y=11	$4 x^{2} + y = 3$ $- x - y = 11$
236186	Factor	r^6s^6+27s^3	$r^{6} s^{6} + 27 s^{3}$
236187	Multiply	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
236188	Graph	-28<=2y<=-22	$- 28 \leq 2 y \leq - 22$
236189	Solve the Inequality for m	m/-8<=-2.4	$\frac{m}{- 8} \leq - 2.4$
236190	Expand the Logarithmic Expression	log base 2 of (9x^5)/(4y^3)	$\log_{2} (\frac{9 x^{5}}{4 y^{3}})$
236191	Solve for A	cos(2A)=-2/3	$\cos (2 A) = \frac{- 2}{3}$
236192	Graph	\|2x-3\|>=-1	$\| 2 x - 3 \| \geq - 1$
236193	Plot	x+y<=5	$x + y \leq 5$
236194	Write Using Positive Exponents	(3^6)/(3^-4)*3^-1	$\frac{3^{6}}{3^{- 4}} \cdot 3^{- 1}$
236195	Simplify	square root of -3* square root of -12* square root of -4	$\sqrt{- 3} \cdot \sqrt{- 12} \cdot \sqrt{- 4}$
236196	Find the Slope and y-intercept	y+1/2x=-4	$y + \frac{1}{2} x = - 4$
236197	Simplify	(x^3+11x^2+18x)/(x^2+x-2)	$\frac{x^{3} + 11 x^{2} + 18 x}{x^{2} + x - 2}$
236198	Solve the Inequality for x	-5(2x-4)<=2-x	$- 5 (2 x - 4) \leq 2 - x$
236199	Simplify	-6x-2(-5x+9)-3x	$- 6 x - 2 (- 5 x + 9) - 3 x$
236200	Factor by Grouping	81m+48mn	$81 m + 48 m n$