Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197001	Find the GCF	xy-xz	$x y - x z$
197002	Solve for q	2(1/2q+1)=-3(2q-1)+8q+4	$2 (\frac{1}{2} q + 1) = - 3 (2 q - 1) + 8 q + 4$
197003	Evaluate	1÷( square root of 2)	$1 \div \sqrt{2}$
197004	Evaluate	(3+4x)(3-4x)	$(3 + 4 x) (3 - 4 x)$
197005	Solve for y	y^2+4y+4=7	$y^{2} + 4 y + 4 = 7$
197006	Solve for x	-2\|x-1\|+3=2/5x-11/5	$- 2 \| x - 1 \| + 3 = \frac{2}{5} x - \frac{11}{5}$
197007	Simplify	-7a^2+3a-9de*5a^2-6a-4	$- 7 a^{2} + 3 a - 9 d e \cdot 5 a^{2} - 6 a - 4$
197008	Simplify	x/5+2/(3x)	$\frac{x}{5} + \frac{2}{3 x}$
197009	Divide	((x^2+x)/(x^2-4))÷((x^2-1)/(x^2+5x+6))	$\frac{x^{2} + x}{x^{2} - 4} \div \frac{x^{2} - 1}{x^{2} + 5 x + 6}$
197010	Find the Function	f(x)=x(x-1)	$f (x) = x (x - 1)$
197011	Evaluate	((-2)^85^3)/(5^42^10*10)	$\frac{{(- 2)}^{8} \cdot 5^{3}}{5^{4} \cdot 2^{10} \cdot 10}$
197012	Simplify	3.5/(3p^3)+7/(4p)	$\frac{3.5}{3 p^{3}} + \frac{7}{4 p}$
197013	Write in Standard Form	9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4	$9 x y^{3} - 4 y^{4} - 10 x^{2} y^{2} + x^{3} y + 3 x^{4} + 2 x^{2} y^{2} - 9 y^{4}$
197014	Simplify	6/(m^2+3m)-1/(m^2-m)+3/(m^2+2m-3)	$\frac{6}{m^{2} + 3 m} - \frac{1}{m^{2} - m} + \frac{3}{m^{2} + 2 m - 3}$
197015	Graph	f(x)=x^2+1 if x<1	$f (x) = x^{2} + 1$ if $x < 1$
197016	Find All Complex Solutions	square root of x+10-1=x	$\sqrt{x + 10} - 1 = x$
197017	Evaluate	-3^2+(2-6)(10)	$- 3^{2} + (2 - 6) (10)$
197018	Solve for θ	(3pi)/2<theta<2pi	$\frac{3 π}{2} < θ < 2 π$
197019	Simplify	(m^2n^5)/(n^7m^-6)	$\frac{m^{2} n^{5}}{n^{7} m^{- 6}}$
197020	Simplify	3/5b-2+7b-12-2/5b+14	$\frac{3}{5} b - 2 + 7 b - 12 - \frac{2}{5} b + 14$
197021	Evaluate	V=1/3pir^2h	$V = \frac{1}{3} π r^{2} h$
197022	Solve for b	r=(2+b)m	$r = (2 + b) m$
197023	Solve for h	b/h=2/( square root of 3)	$\frac{b}{h} = \frac{2}{\sqrt{3}}$
197024	Rationalize the Denominator	4/( square root of 18)	$\frac{4}{\sqrt{18}}$
197025	Evaluate	((2x+7)-7)/2	$\frac{(2 x + 7) - 7}{2}$
197026	Solve for h	2\|h\|-3=8	$2 \| h \| - 3 = 8$
197027	Solve the Inequality for n	3(n+5)>=3n+8	$3 (n + 5) \geq 3 n + 8$
197028	Graph	f(x)=(12x^5-b)/(6x^5+cx-d)	$f (x) = \frac{12 x^{5} - b}{6 x^{5} + c x - d}$
197029	Evaluate	(6-3 cube root of 6)/( cube root of 9)	$\frac{6 - 3 \sqrt[3]{6}}{\sqrt[3]{9}}$
197030	Simplify	3j^4k-2jk^3+jk^3-2j^4k+jk^3	$3 j^{4} k - 2 j k^{3} + j k^{3} - 2 j^{4} k + j k^{3}$
197031	Simplify	cube root of 9a* cube root of 3a^2b^3	$\sqrt[3]{9 a} \cdot \sqrt[3]{3 a^{2} b^{3}}$
197032	Graph	f(x)=negative infinity	$f (x) = - \infty$
197033	Solve for d	p(d+z)=2z+3	$p (d + z) = 2 z + 3$
197034	Graph	f(x,y)=x^2-y^2	$f (x, y) = x^{2} - y^{2}$
197035	Evaluate	(1/9)^2*(-3)^3	${(\frac{1}{9})}^{2} \cdot {(- 3)}^{3}$
197036	Graph	y<=(x+1)^3	$y \leq {(x + 1)}^{3}$
197037	Solve for c	-30c-6c+40c+10c=-28	$- 30 c - 6 c + 40 c + 10 c = - 28$
197038	Simplify	x/2+7/(9x)	$\frac{x}{2} + \frac{7}{9 x}$
197039	Solve for x	10x+5=12x^2+6x	$10 x + 5 = 12 x^{2} + 6 x$
197040	Solve for x	(3x+4)/5-(x+2)/7=6	$\frac{3 x + 4}{5} - \frac{x + 2}{7} = 6$
197041	Simplify	(2x+3)^2-(2x-3)^2	${(2 x + 3)}^{2} - {(2 x - 3)}^{2}$
197042	Evaluate	((3/4)^6)÷((3/4)^-3)	${(\frac{3}{4})}^{6} \div {(\frac{3}{4})}^{- 3}$
197043	Find the Axis of Symmetry	5y^2-10x=0	$5 y^{2} - 10 x = 0$
197044	Factor	2sin(x)^2-sin(x)-1=0	$2 \sin^{2} (x) - \sin (x) - 1 = 0$
197045	Solve for x	(4x)/5-x=-12	$\frac{4 x}{5} - x = - 12$
197046	Find the Roots (Zeros)	f(x)=2^(x-1)-3^(x+1)	$f (x) = 2^{x - 1} - 3^{x + 1}$
197047	Solve for r	(r+5)/(r^2-2r)-1=1/(r^2-2r)	$\frac{r + 5}{r^{2} - 2 r} - 1 = \frac{1}{r^{2} - 2 r}$
197048	Find the Roots (Zeros)	1/x	$\frac{1}{x}$
197049	Graph	7x-8f(x)-28=0	$7 x - 8 f (x) - 28 = 0$
197050	Find the Holes in the Graph	(-5x+10)/(2x^2-8)	$\frac{- 5 x + 10}{2 x^{2} - 8}$
197051	Solve the System of Equations	x-y+z=2 x+y+z=4 2x+2y-z=-4	$x - y + z = 2$ $x + y + z = 4$ $2 x + 2 y - z = - 4$
197052	Solve for x	log base 3 of x^2-4- log base 3 of 3x+2=1	$\log_{3} (x^{2} - 4) - \log_{3} (3 x + 2) = 1$
197053	Solve the Inequality for x	3x^2+x<=2	$3 x^{2} + x \leq 2$
197054	Simplify the Radical Expression	6 square root of 72x^2	$6 \sqrt{72 x^{2}}$
197055	Find the Distance Between Two Points	(-4,5) and (7,18)	$(- 4, 5)$ and $(7, 18)$
197056	Solve Using the Quadratic Formula	x^2=2/3(x+1)	$x^{2} = \frac{2}{3} (x + 1)$
197057	Find the Point-Slope Form	y+2=-4(x-1)	$y + 2 = - 4 (x - 1)$
197058	Find the Domain of the Composition f(g(x))	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
197059	Factor	x^8-x^2	$x^{8} - x^{2}$
197060	Subtract	3.1x+2.8z*4.3x-1.2z	$3.1 x + 2.8 z \cdot 4.3 x - 1.2 z$
197061	Find the Degree, Leading Term, and Leading Coefficient	-7x+1/7x^5+1	$- 7 x + \frac{1}{7} x^{5} + 1$
197062	Solve for x	8/9-4/7=(2x-8)/63	$\frac{8}{9} - \frac{4}{7} = \frac{2 x - 8}{63}$
197063	Solve the Inequality for x	8x^2+9x>=0	$8 x^{2} + 9 x \geq 0$
197064	Simplify the Radical Expression	square root of 3 cube root of 2	$\sqrt{3} \sqrt[3]{2}$
197065	Solve for t	(1/2)(10t)=50000	$(\frac{1}{2}) (10 t) = 50000$
197066	Describe the Transformation	y=\|f(x)\|	$y = \| f (x) \|$
197067	Solve Using the Quadratic Formula	x^2+12x+c	$x^{2} + 12 x + c$
197068	Find the Inverse	f(x)=2(x-4)^2	$f (x) = 2 {(x - 4)}^{2}$
197069	Simplify	(x^2y^-3)/(3y^2)*(y^2)/(x^-4)	$\frac{x^{2} y^{- 3}}{3 y^{2}} \cdot \frac{y^{2}}{x^{- 4}}$
197070	Simplify	(2k^3+6k+1)-(2k^2+1)	$(2 k^{3} + 6 k + 1) - (2 k^{2} + 1)$
197071	Solve the System of Equations	y=-1/2x+1 3x-2y=14	$y = - \frac{1}{2} x + 1$ $3 x - 2 y = 14$
197072	Graph	y=-1/4sin(x/3)	$y = - \frac{1}{4} \sin (\frac{x}{3})$
197073	Simplify	2/3(9x-12)	$\frac{2}{3} (9 x - 12)$
197074	Solve for n	log of n=4 log of 2	$\log (n) = 4 \log (2)$
197075	Solve for y	3y+2/3=5y	$3 y + \frac{2}{3} = 5 y$
197076	Solve for f	M=L/F(25/f+1)	$M = \frac{L}{F} (\frac{25}{f} + 1)$
197077	Evaluate	(x^2-5x+6)+(3x^2-8x-2)	$(x^{2} - 5 x + 6) + (3 x^{2} - 8 x - 2)$
197078	Find the Roots (Zeros)	(x+3)(x-2)(x+1)(x-1)=0	$(x + 3) (x - 2) (x + 1) (x - 1) = 0$
197079	Evaluate	-3x-7(x+4)	$- 3 x - 7 (x + 4)$
197080	Find the Distance Between Two Points	(8,-4) and (4,3)	$(8, - 4)$ and $(4, 3)$
197081	Find the Slope and y-intercept	2y+1=0	$2 y + 1 = 0$
197082	Solve the System of Equations	x=2(1+2y)-9z y=2(2z-x)-13 z=2(y+4)+3x	$x = 2 (1 + 2 y) - 9 z$ $y = 2 (2 z - x) - 13$ $z = 2 (y + 4) + 3 x$
197083	Solve for w	2/w=0.4/0.7	$\frac{2}{w} = \frac{0.4}{0.7}$
197084	Solve for x	-x/3+21=0	$- \frac{x}{3} + 21 = 0$
197085	Evaluate	sin(3theta)=-1	$\sin (3 θ) = - 1$
197086	Write in Standard Form	square root of -1	$\sqrt{- 1}$
197087	Solve for T	I=PRT	$I = P R T$
197088	Simplify	(x^3y^2)(xy^4)	$(x^{3} y^{2}) (x y^{4})$
197089	Evaluate	(3÷(2*1))2/3	$(3 \div (2 \cdot 1)) \frac{2}{3}$
197090	Solve for x	4x-3-7(x+1)=-6x+5	$4 x - 3 - 7 (x + 1) = - 6 x + 5$
197091	Find the Parabola with Focus (2,-1) and Directrix y=-1/2	(2,-1) y=-1/2	$(2, - 1)$ $y = - \frac{1}{2}$
197092	Solve the Inequality for f	6\|-f+3\|+7>7	$6 \| - f + 3 \| + 7 > 7$
197093	Multiply	-9ab^3(a^4b^2-5a^5b+7ab+4)	$- 9 a b^{3} (a^{4} b^{2} - 5 a^{5} b + 7 a b + 4)$
197094	Graph	6x-5<=11x+y	$6 x - 5 \leq 11 x + y$
197095	Evaluate	3(7/5x+4)-2(3/2-5/4x)	$3 (\frac{7}{5} x + 4) - 2 (\frac{3}{2} - \frac{5}{4} x)$
197096	Solve the Inequality for x	7-1/8(6x-4)<8	$7 - \frac{1}{8} (6 x - 4) < 8$
197097	Graph	f(x)=1 if -1<x<=0; 2 if 0<x<=1; 3 if 1<x<=2	$f (x) = {\begin{cases} 1 & - 1 < x \leq 0 \\ 2 & 0 < x \leq 1 \\ 3 & 1 < x \leq 2 \end{cases}$
197098	Solve the Rational Equation for x	(x^2+x-2)/(x-3)=-3	$\frac{x^{2} + x - 2}{x - 3} = - 3$
197099	Solve for R	P=R+C	$P = R + C$
197100	Solve the Inequality for x	(3x)/2-6<9	$\frac{3 x}{2} - 6 < 9$