Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175801	Find the Function	g(x)=2x-3	$g (x) = 2 x - 3$
175802	Solve for t	h(t)=-16t^2+48t	$h (t) = - 16 t^{2} + 48 t$
175803	Solve for x	log base 5 of 3x-2 log base 5 of 6=1	$\log_{5} (3 x) - 2 \log_{5} (6) = 1$
175804	Multiply	3x(x)	$3 x (x)$
175805	Solve the Rational Equation for x	square root of x+14=x-6	$\sqrt{x + 14} = x - 6$
175806	Evaluate	(3+x)^2	${(3 + x)}^{2}$
175807	Simplify	(6^4*2)^3	${(6^{4} \cdot 2)}^{3}$
175808	Solve the System of Equations	y=x^2+7x-3 y=-4x-21	$y = x^{2} + 7 x - 3$ $y = - 4 x - 21$
175809	Find the Discriminant	-6x^2-2x+77=-7x^2+6x+3	$- 6 x^{2} - 2 x + 77 = - 7 x^{2} + 6 x + 3$
175810	Solve for x	3(x-2)-5x=-2(x+2)	$3 (x - 2) - 5 x = - 2 (x + 2)$
175811	Solve for k	-2k=k-7-8	$- 2 k = k - 7 - 8$
175812	Simplify	(12g^8h^4)/(g^3*h^5)	$\frac{12 \cdot g^{8} \cdot h^{4}}{g^{3} \cdot h^{5}}$
175813	Graph	4x+y=2 x-y=3	$4 x + y = 2$ $x - y = 3$
175814	Solve the Inequality for x	\|2x-1\|<3	$\| 2 x - 1 \| < 3$
175815	Solve for x	(1/9)^(4x+8)=27^(5x-8)	${(\frac{1}{9})}^{4 x + 8} = 27^{5 x - 8}$
175816	Solve the Inequality for x	(x^2-x-30)/(x-1)>=0	$\frac{x^{2} - x - 30}{x - 1} \geq 0$
175817	Solve the Inequality for c	c/9<=-4	$\frac{c}{9} \leq - 4$
175818	Solve Using the Quadratic Formula	(x-1)^2-20=44	${(x - 1)}^{2} - 20 = 44$
175819	Find the Exact Value	cot(450 degrees )	$\cot (450 °)$
175820	Solve the System of Inequalities	8x-y>9 1/2x+6>=y y+1>-1/3(x-9)	$8 x - y > 9$ $\frac{1}{2} x + 6 \geq y$ $y + 1 > \frac{- 1}{3} (x - 9)$
175821	Solve the System of Inequalities	-10>-x-9 or -18>=-x-9	$- 10 > - x - 9$ or $- 18 \geq - x - 9$
175822	Simplify	x^2*2x^2	$x^{2} \cdot 2 x^{2}$
175823	Find a,b,c	y=16x^2-8x-24	$y = 16 x^{2} - 8 x - 24$
175824	Solve the Inequality for x	25-x^2<=0	$25 - x^{2} \leq 0$
175825	Graph	y^2+8x+4y+12=0	$y^{2} + 8 x + 4 y + 12 = 0$
175826	Solve by Substitution	y=-7x y=9x+32	$y = - 7 x$ $y = 9 x + 32$
175827	Solve for h	h-(-2.22)=-7.851	$h - (- 2.22) = - 7.851$
175828	Solve the Inequality for x	-3x-4<2	$- 3 x - 4 < 2$
175829	Find g(f(x))	f(x)=2x+3 g(x)=(x-3)/2	$f (x) = 2 x + 3$ $g (x) = \frac{x - 3}{2}$
175830	Find All Complex Solutions	2cos(x)^2+3cos(x)=-1	$2 \cos^{2} (x) + 3 \cos (x) = - 1$
175831	Find the Product	(x+4)(x-2)	$(x + 4) (x - 2)$
175832	Solve for x	log base 6 of 7x+2 log base 6 of 5=0	$\log_{6} (7 x) + 2 \log_{6} (5) = 0$
175833	Solve the System of Equations	3x-2y=-7 x+y=6	$3 x - 2 y = - 7$ $x + y = 6$
175834	Simplify	square root of 36+ square root of -128- square root of 16+ square root of -98	$\sqrt{36} + \sqrt{- 128} - \sqrt{16} + \sqrt{- 98}$
175835	Find the Holes in the Graph	h(x)=(x+3)/(x(x-7))	$h (x) = \frac{x + 3}{x (x - 7)}$
175836	Simplify	(a^2+5a+7)(1-a)^-1	$(a^{2} + 5 a + 7) {(1 - a)}^{- 1}$
175837	Write in Standard Form	6-x^2+8x=5+4x	$6 - x^{2} + 8 x = 5 + 4 x$
175838	Find the Exact Value	sin(arcsin(-( square root of 3)/2))	$\sin (\arcsin (- \frac{\sqrt{3}}{2}))$
175839	Simplify the Radical Expression	cube root of 125	$\sqrt[3]{125}$
175840	Simplify	((x-5)^2-12)/((x-5)^2+4)	$\frac{{(x - 5)}^{2} - 12}{{(x - 5)}^{2} + 4}$
175841	Solve the Inequality for x	-13x<-156	$- 13 x < - 156$
175842	Solve the Absolute Value Inequality for x	\|4x-2\|=10	$\| 4 x - 2 \| = 10$
175843	Solve for w	x=(p-3w)/2	$x = \frac{p - 3 w}{2}$
175844	Solve Using the Quadratic Formula	2+3/((2x+1)(2x-1))=3	$2 + \frac{3}{(2 x + 1) (2 x - 1)} = 3$
175845	Solve the Inequality for x	x^2+6x>0	$x^{2} + 6 x > 0$
175846	Evaluate	x^2-7x+12+(x-3)^2	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$
175847	Solve the System of Equations	y=-3x-2 5x+2y=15	$y = - 3 x - 2$ $5 x + 2 y = 15$
175848	Simplify	(n/3-3/n)/(1+n/3)	$\frac{\frac{n}{3} - \frac{3}{n}}{1 + \frac{n}{3}}$
175849	Find the Midpoint	(5,5) and (1,1)	$(5, 5)$ and $(1, 1)$
175850	Solve for r	(r-4)^2(r+8)=0	${(r - 4)}^{2} (r + 8) = 0$
175851	Evaluate	2(1)^(1/2)	$2 {(1)}^{\frac{1}{2}}$
175852	Evaluate the Function	f(0)=2 square root of 0	$f (0) = 2 \sqrt{0}$
175853	Graph	g(x)=f(-x)+1	$g (x) = f (- x) + 1$
175854	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-x-1=0	$2 x^{2} - x - 1 = 0$
175855	Solve for x	square root of x-1 = square root of x-1	$\sqrt{x} - 1 = \sqrt{x - 1}$
175856	Solve for b	(3b-4)/2=c	$\frac{3 b - 4}{2} = c$
175857	Solve the Inequality for x	7x-2(x-4)<=-2	$7 x - 2 (x - 4) \leq - 2$
175858	Factor	4x^3-8x^2+x+3	$4 x^{3} - 8 x^{2} + x + 3$
175859	Write as a Single Logarithm	log base 2 of 16	$\log_{2} (16)$
175860	Simplify	-12/8	$\frac{- 12}{8}$
175861	Solve the System of Equations	4r-4s+4t=-4 4r+s-2t=5 -3r-3s-4t=-16	$4 r - 4 s + 4 t = - 4$ $4 r + s - 2 t = 5$ $- 3 r - 3 s - 4 t = - 16$
175862	Graph	x^(2/3)+y^(2/3)=1	$x^{\frac{2}{3}} + y^{\frac{2}{3}} = 1$
175863	Graph	f(x)=(x^3+6x^2+8x)/(x^3-9x)	$f (x) = \frac{x^{3} + 6 x^{2} + 8 x}{x^{3} - 9 x}$
175864	Solve for z	4z-1 = square root of 25z^2-14z+2	$4 z - 1 = \sqrt{25 z^{2} - 14 z + 2}$
175865	Solve for a	A=piab	$A = π a b$
175866	Factor	x^4-8x^2y^2+16y^4	$x^{4} - 8 x^{2} y^{2} + 16 y^{4}$
175867	Solve for v	72v-52v+17v-11=100	$72 v - 52 v + 17 v - 11 = 100$
175868	Find the Exact Value	log base 12 of 144	$\log_{12} (144)$
175869	Divide Using Long Polynomial Division	(3x^3+5x-1)÷(x+1)	$(3 x^{3} + 5 x - 1) \div (x + 1)$
175870	Solve the Inequality for x	x^2<=4x-1	$x^{2} \leq 4 x - 1$
175871	Graph	y=1/2(x+1)^2+3	$y = \frac{1}{2} {(x + 1)}^{2} + 3$
175872	Find the Directrix	x^2=4py	$x^{2} = 4 p y$
175873	Find the Exact Value	12÷43+18÷93-4*3	$12 \div 4 \cdot 3 + 18 \div 9 \cdot 3 - 4 \cdot 3$
175874	Find the Product	(x+4)(x+8)	$(x + 4) (x + 8)$
175875	Evaluate	-3x-6+(-1)	$- 3 x - 6 + (- 1)$
175876	Simplify	uv*4uv^5	$u v \cdot 4 u v^{5}$
175877	Solve for x	4x^2+9=-12x	$4 x^{2} + 9 = - 12 x$
175878	Find f(g(x))	f(x)=(x-5)/2 g(x)=2x+5	$f (x) = \frac{x - 5}{2}$ $g (x) = 2 x + 5$
175879	Solve for t	3(1/3t+2/3)=4t-2	$3 (\frac{1}{3} t + \frac{2}{3}) = 4 t - 2$
175880	Find the Domain and Range	(x-3)/(x+2)	$\frac{x - 3}{x + 2}$
175881	Divide	3 3/8÷9	$3 \frac{3}{8} \div 9$
175882	Evaluate	4e^1	$4 e^{1}$
175883	Solve for B	2^2+B^2=5^2	$2^{2} + B^{2} = 5^{2}$
175884	Find the Midpoint	(-6,4) and (-10,-4)	$(- 6, 4)$ and $(- 10, - 4)$
175885	Solve for x	81=x^2	$81 = x^{2}$
175886	Solve the Inequality for x	9x>=36	$9 x \geq 36$
175887	Solve for x	(x+7)/2=(5x)/3	$\frac{x + 7}{2} = \frac{5 x}{3}$
175888	Divide	1 1/4÷(1/2)	$1 \frac{1}{4} \div \frac{1}{2}$
175889	Solve for x	-a=b- square root of x	$- a = b - \sqrt{x}$
175890	Solve for x	3(2x-1)-11x<=-3x+5	$3 (2 x - 1) - 11 x \leq - 3 x + 5$
175891	Expand the Logarithmic Expression	log of (y^5 square root of x)/z	$\log (\frac{y^{5} \sqrt{x}}{z})$
175892	Solve for n	81^(2n-3)=9^(-n)	$81^{2 n - 3} = 9^{- n}$
175893	Find the Holes in the Graph	f(x)=(-2x^2-6x)/(x^2+4x+3)	$f (x) = \frac{- 2 x^{2} - 6 x}{x^{2} + 4 x + 3}$
175894	Solve the Inequality for x	x^2<=0	$x^{2} \leq 0$
175895	Expand the Logarithmic Expression	log of (y^5x^2)/( square root of z^5)	$\log (\frac{y^{5} x^{2}}{\sqrt{z^{5}}})$
175896	Write in Standard Form	-4x+6x^2=-4+3x^2	$- 4 x + 6 x^{2} = - 4 + 3 x^{2}$
175897	Find the Roots (Zeros)	x^2+121=22x	$x^{2} + 121 = 22 x$
175898	Solve for x	1/(x^2+x)+(8x)/(x+1)=-9/(x+1)	$\frac{1}{x^{2} + x} + \frac{8 x}{x + 1} = - \frac{9}{x + 1}$
175899	Solve by Factoring	e/3=7	$\frac{e}{3} = 7$
175900	Solve for t	h(t)=-16t^2+32t	$h (t) = - 16 t^{2} + 32 t$