Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175801	Find the Roots (Zeros)	h(x)=81-3^(x+1)	$h (x) = 81 - 3^{x + 1}$
175802	Factor	x^3+6x^2y+12xy^2+8y^3	$x^{3} + 6 x^{2} y + 12 x y^{2} + 8 y^{3}$
175803	Find the Axis of Symmetry	f(x)=1/x	$f (x) = \frac{1}{x}$
175804	Solve the Inequality for x	x^2-7x-8>0	$x^{2} - 7 x - 8 > 0$
175805	Solve for x	-2x^4+32=0	$- 2 x^{4} + 32 = 0$
175806	Simplify	((-5r^2s^7)/r)^3	${(\frac{- 5 r^{2} s^{7}}{r})}^{3}$
175807	Solve the Inequality for x	25<=5x	$25 \leq 5 x$
175808	Solve for t	\|5t-1\|>21	$\| 5 t - 1 \| > 21$
175809	Graph	y>=1/2x-1/2	$y \geq \frac{1}{2} x - \frac{1}{2}$
175810	Solve Using the Quadratic Formula	2x+3y	$2 x + 3 y$
175811	Graph Using a Table of Values	f(x)=3x-3	$f (x) = 3 x - 3$
175812	Solve for x	x^(5/3)-2x^(5/6)+1=0	$x^{\frac{5}{3}} - 2 x^{\frac{5}{6}} + 1 = 0$
175813	Find the Inverse	f(x)=2x^(1/5)-2	$f (x) = 2 x^{\frac{1}{5}} - 2$
175814	Find the Midpoint	(-9,-5) and (-1,-9)	$(- 9, - 5)$ and $(- 1, - 9)$
175815	Solve for x	5+6* log base 2 of x=14	$5 + 6 \cdot \log_{2} (x) = 14$
175816	Find the Function	g(x)=2x-3	$g (x) = 2 x - 3$
175817	Solve for t	h(t)=-16t^2+48t	$h (t) = - 16 t^{2} + 48 t$
175818	Solve for x	log base 5 of 3x-2 log base 5 of 6=1	$\log_{5} (3 x) - 2 \log_{5} (6) = 1$
175819	Multiply	3x(x)	$3 x (x)$
175820	Solve the Rational Equation for x	square root of x+14=x-6	$\sqrt{x + 14} = x - 6$
175821	Evaluate	(3+x)^2	${(3 + x)}^{2}$
175822	Simplify	(6^4*2)^3	${(6^{4} \cdot 2)}^{3}$
175823	Solve the System of Equations	y=x^2+7x-3 y=-4x-21	$y = x^{2} + 7 x - 3$ $y = - 4 x - 21$
175824	Find the Discriminant	-6x^2-2x+77=-7x^2+6x+3	$- 6 x^{2} - 2 x + 77 = - 7 x^{2} + 6 x + 3$
175825	Solve for x	3(x-2)-5x=-2(x+2)	$3 (x - 2) - 5 x = - 2 (x + 2)$
175826	Solve for k	-2k=k-7-8	$- 2 k = k - 7 - 8$
175827	Simplify	(12g^8h^4)/(g^3*h^5)	$\frac{12 \cdot g^{8} \cdot h^{4}}{g^{3} \cdot h^{5}}$
175828	Graph	4x+y=2 x-y=3	$4 x + y = 2$ $x - y = 3$
175829	Solve the Inequality for x	\|2x-1\|<3	$\| 2 x - 1 \| < 3$
175830	Solve for x	(1/9)^(4x+8)=27^(5x-8)	${(\frac{1}{9})}^{4 x + 8} = 27^{5 x - 8}$
175831	Solve the Inequality for x	(x^2-x-30)/(x-1)>=0	$\frac{x^{2} - x - 30}{x - 1} \geq 0$
175832	Solve the Inequality for c	c/9<=-4	$\frac{c}{9} \leq - 4$
175833	Solve Using the Quadratic Formula	(x-1)^2-20=44	${(x - 1)}^{2} - 20 = 44$
175834	Find the Exact Value	cot(450 degrees )	$\cot (450 °)$
175835	Solve the System of Inequalities	8x-y>9 1/2x+6>=y y+1>-1/3(x-9)	$8 x - y > 9$ $\frac{1}{2} x + 6 \geq y$ $y + 1 > \frac{- 1}{3} (x - 9)$
175836	Solve the System of Inequalities	-10>-x-9 or -18>=-x-9	$- 10 > - x - 9$ or $- 18 \geq - x - 9$
175837	Simplify	x^2*2x^2	$x^{2} \cdot 2 x^{2}$
175838	Find a,b,c	y=16x^2-8x-24	$y = 16 x^{2} - 8 x - 24$
175839	Solve the Inequality for x	25-x^2<=0	$25 - x^{2} \leq 0$
175840	Graph	y^2+8x+4y+12=0	$y^{2} + 8 x + 4 y + 12 = 0$
175841	Solve by Substitution	y=-7x y=9x+32	$y = - 7 x$ $y = 9 x + 32$
175842	Solve for h	h-(-2.22)=-7.851	$h - (- 2.22) = - 7.851$
175843	Solve the Inequality for x	-3x-4<2	$- 3 x - 4 < 2$
175844	Find g(f(x))	f(x)=2x+3 g(x)=(x-3)/2	$f (x) = 2 x + 3$ $g (x) = \frac{x - 3}{2}$
175845	Find All Complex Solutions	2cos(x)^2+3cos(x)=-1	$2 \cos^{2} (x) + 3 \cos (x) = - 1$
175846	Find the Product	(x+4)(x-2)	$(x + 4) (x - 2)$
175847	Solve for x	log base 6 of 7x+2 log base 6 of 5=0	$\log_{6} (7 x) + 2 \log_{6} (5) = 0$
175848	Solve the System of Equations	3x-2y=-7 x+y=6	$3 x - 2 y = - 7$ $x + y = 6$
175849	Simplify	square root of 36+ square root of -128- square root of 16+ square root of -98	$\sqrt{36} + \sqrt{- 128} - \sqrt{16} + \sqrt{- 98}$
175850	Find the Holes in the Graph	h(x)=(x+3)/(x(x-7))	$h (x) = \frac{x + 3}{x (x - 7)}$
175851	Simplify	(a^2+5a+7)(1-a)^-1	$(a^{2} + 5 a + 7) {(1 - a)}^{- 1}$
175852	Write in Standard Form	6-x^2+8x=5+4x	$6 - x^{2} + 8 x = 5 + 4 x$
175853	Find the Exact Value	sin(arcsin(-( square root of 3)/2))	$\sin (\arcsin (- \frac{\sqrt{3}}{2}))$
175854	Simplify the Radical Expression	cube root of 125	$\sqrt[3]{125}$
175855	Simplify	((x-5)^2-12)/((x-5)^2+4)	$\frac{{(x - 5)}^{2} - 12}{{(x - 5)}^{2} + 4}$
175856	Solve the Inequality for x	-13x<-156	$- 13 x < - 156$
175857	Solve the Absolute Value Inequality for x	\|4x-2\|=10	$\| 4 x - 2 \| = 10$
175858	Solve for w	x=(p-3w)/2	$x = \frac{p - 3 w}{2}$
175859	Solve Using the Quadratic Formula	2+3/((2x+1)(2x-1))=3	$2 + \frac{3}{(2 x + 1) (2 x - 1)} = 3$
175860	Solve the Inequality for x	x^2+6x>0	$x^{2} + 6 x > 0$
175861	Evaluate	x^2-7x+12+(x-3)^2	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$
175862	Solve the System of Equations	y=-3x-2 5x+2y=15	$y = - 3 x - 2$ $5 x + 2 y = 15$
175863	Simplify	(n/3-3/n)/(1+n/3)	$\frac{\frac{n}{3} - \frac{3}{n}}{1 + \frac{n}{3}}$
175864	Find the Midpoint	(5,5) and (1,1)	$(5, 5)$ and $(1, 1)$
175865	Solve for r	(r-4)^2(r+8)=0	${(r - 4)}^{2} (r + 8) = 0$
175866	Evaluate	2(1)^(1/2)	$2 {(1)}^{\frac{1}{2}}$
175867	Evaluate the Function	f(0)=2 square root of 0	$f (0) = 2 \sqrt{0}$
175868	Graph	g(x)=f(-x)+1	$g (x) = f (- x) + 1$
175869	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-x-1=0	$2 x^{2} - x - 1 = 0$
175870	Solve for x	square root of x-1 = square root of x-1	$\sqrt{x} - 1 = \sqrt{x - 1}$
175871	Solve for b	(3b-4)/2=c	$\frac{3 b - 4}{2} = c$
175872	Solve the Inequality for x	7x-2(x-4)<=-2	$7 x - 2 (x - 4) \leq - 2$
175873	Factor	4x^3-8x^2+x+3	$4 x^{3} - 8 x^{2} + x + 3$
175874	Write as a Single Logarithm	log base 2 of 16	$\log_{2} (16)$
175875	Simplify	-12/8	$\frac{- 12}{8}$
175876	Solve the System of Equations	4r-4s+4t=-4 4r+s-2t=5 -3r-3s-4t=-16	$4 r - 4 s + 4 t = - 4$ $4 r + s - 2 t = 5$ $- 3 r - 3 s - 4 t = - 16$
175877	Graph	x^(2/3)+y^(2/3)=1	$x^{\frac{2}{3}} + y^{\frac{2}{3}} = 1$
175878	Graph	f(x)=(x^3+6x^2+8x)/(x^3-9x)	$f (x) = \frac{x^{3} + 6 x^{2} + 8 x}{x^{3} - 9 x}$
175879	Solve for z	4z-1 = square root of 25z^2-14z+2	$4 z - 1 = \sqrt{25 z^{2} - 14 z + 2}$
175880	Solve for a	A=piab	$A = π a b$
175881	Factor	x^4-8x^2y^2+16y^4	$x^{4} - 8 x^{2} y^{2} + 16 y^{4}$
175882	Solve for v	72v-52v+17v-11=100	$72 v - 52 v + 17 v - 11 = 100$
175883	Find the Exact Value	log base 12 of 144	$\log_{12} (144)$
175884	Divide Using Long Polynomial Division	(3x^3+5x-1)÷(x+1)	$(3 x^{3} + 5 x - 1) \div (x + 1)$
175885	Solve the Inequality for x	x^2<=4x-1	$x^{2} \leq 4 x - 1$
175886	Graph	y=1/2(x+1)^2+3	$y = \frac{1}{2} {(x + 1)}^{2} + 3$
175887	Find the Directrix	x^2=4py	$x^{2} = 4 p y$
175888	Find the Exact Value	12÷43+18÷93-4*3	$12 \div 4 \cdot 3 + 18 \div 9 \cdot 3 - 4 \cdot 3$
175889	Find the Product	(x+4)(x+8)	$(x + 4) (x + 8)$
175890	Evaluate	-3x-6+(-1)	$- 3 x - 6 + (- 1)$
175891	Simplify	uv*4uv^5	$u v \cdot 4 u v^{5}$
175892	Solve for x	4x^2+9=-12x	$4 x^{2} + 9 = - 12 x$
175893	Find f(g(x))	f(x)=(x-5)/2 g(x)=2x+5	$f (x) = \frac{x - 5}{2}$ $g (x) = 2 x + 5$
175894	Solve for t	3(1/3t+2/3)=4t-2	$3 (\frac{1}{3} t + \frac{2}{3}) = 4 t - 2$
175895	Find the Domain and Range	(x-3)/(x+2)	$\frac{x - 3}{x + 2}$
175896	Divide	3 3/8÷9	$3 \frac{3}{8} \div 9$
175897	Evaluate	4e^1	$4 e^{1}$
175898	Solve for B	2^2+B^2=5^2	$2^{2} + B^{2} = 5^{2}$
175899	Find the Midpoint	(-6,4) and (-10,-4)	$(- 6, 4)$ and $(- 10, - 4)$
175900	Solve for x	81=x^2	$81 = x^{2}$