Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110001	Solve for w	5w-8=14	$5 w - 8 = 14$
110002	Subtract	180-37	$180 - 37$
110003	Solve for w	42w>2(w+7)	$42 w > 2 (w + 7)$
110004	Subtract	64-49	$64 - 49$
110005	Solve for x	(x+2)(x-3)<0	$(x + 2) (x - 3) < 0$
110006	Solve for x	(x+2)(x-3)=0	$(x + 2) (x - 3) = 0$
110007	Solve for x	(x+1)(x-4)>0	$(x + 1) (x - 4) > 0$
110008	Solve for x	(x-3)(x+4)<0	$(x - 3) (x + 4) < 0$
110009	Solve for x	(x-4)(x+6)>0	$(x - 4) (x + 6) > 0$
110010	Solve for x	(x-5)(x+4)=0	$(x - 5) (x + 4) = 0$
110011	Solve for x	(x-1)(x-2)(x-3)=0	$(x - 1) (x - 2) (x - 3) = 0$
110012	Solve for x	(x-5)^2(x+2)<0	${(x - 5)}^{2} (x + 2) < 0$
110013	Solve for a	-3a+10<-11	$- 3 a + 10 < - 11$
110014	Find the Inverse	f(x)=4/3x-7	$f (x) = \frac{4}{3} x - 7$
110015	Solve for a	1/3*\|3a-3\|-6>2	$\frac{1}{3} \cdot \| 3 a - 3 \| - 6 > 2$
110016	Simplify	9n^2(1/3n)^4	$9 n^{2} {(\frac{1}{3} n)}^{4}$
110017	Find the Domain	-x+9	$- x + 9$
110018	Solve for a	4a>32	$4 a > 32$
110019	Solve for a	4(2a+2)-17<15	$4 (2 a + 2) - 17 < 15$
110020	Solve for c	10c+5=45	$10 c + 5 = 45$
110021	Find the Domain and Range	f(x)=1/6x^2	$f (x) = \frac{1}{6} x^{2}$
110022	Solve for c	3(4c-5)-2c>0	$3 (4 c - 5) - 2 c > 0$
110023	Solve for b	3(4b-5)<-28+12b	$3 (4 b - 5) < - 28 + 12 b$
110024	Convert to Interval Notation	\|x+1\|<=6	$\| x + 1 \| \leq 6$
110025	Solve for b	-2b+4>-6	$- 2 b + 4 > - 6$
110026	Convert to Interval Notation	{x\|x>=-2}	${x \| x \geq - 2}$
110027	Solve for b	a>(wh)+0.5(bh)	$a > (w h) + 0.5 (b h)$
110028	Solve for d	d/2-1=3	$\frac{d}{2} - 1 = 3$
110029	Convert to Interval Notation	\|12-4x\|<=11	$\| 12 - 4 x \| \leq 11$
110030	Solve for d	3(d-2)-2d>16	$3 (d - 2) - 2 d > 16$
110031	Convert to Interval Notation	2x^2+x>=15	$2 x^{2} + x \geq 15$
110032	Solve for d	56<-7d	$56 < - 7 d$
110033	Convert to Interval Notation	\|10-4x\|>=16	$\| 10 - 4 x \| \geq 16$
110034	Solve for h	h=(6h+3)/5	$h = \frac{6 h + 3}{5}$
110035	Solve for g	s=1/2*(gt^2)	$s = \frac{1}{2} \cdot (g t^{2})$
110036	Solve for m	3(10+2m)=96	$3 (10 + 2 m) = 96$
110037	Solve for m	m^2+2m=24	$m^{2} + 2 m = 24$
110038	Solve for k	k>9/2	$k > \frac{9}{2}$
110039	Simplify	81x^4-1	$81 x^{4} - 1$
110040	Find the Domain	f(x) = square root of 27-3x	$f (x) = \sqrt{27 - 3 x}$
110041	Solve for P	2(P+1)+3(P+2)>2	$2 (P + 1) + 3 (P + 2) > 2$
110042	Solve for p	\|p\|=12	$\| p \| = 12$
110043	Find the Domain	f(x)=1/( square root of x+15)	$f (x) = \frac{1}{\sqrt{x + 15}}$
110044	Solve for n	25=n+13	$25 = n + 13$
110045	Solve for n	-6>n-4	$- 6 > n - 4$
110046	Find the Domain	f(x) = square root of 45-5x	$f (x) = \sqrt{45 - 5 x}$
110047	Solve for n	12n=84	$12 n = 84$
110048	Solve for n	(n+5)/-16=-1	$\frac{n + 5}{- 16} = - 1$
110049	Solve for n	(n-5)/6+(n+3)/7=11/21	$\frac{n - 5}{6} + \frac{n + 3}{7} = \frac{11}{21}$
110050	Find the Domain	f(x)=(3x-5)/2	$f (x) = \frac{3 x - 5}{2}$
110051	Solve for n	5^(2n+3)<25	$5^{2 n + 3} < 25$
110052	Solve for n	9^(2n)=1/6561	$9^{2 n} = \frac{1}{6561}$
110053	Find the Center and Radius	x^2+y^2-8x+7=0	$x^{2} + y^{2} - 8 x + 7 = 0$
110054	Find the Vertex	y=3(x+5)^2-4	$y = 3 {(x + 5)}^{2} - 4$
110055	Find the Roots (Zeros)	f(x)=x^3-9x^2+31x-39	$f (x) = x^{3} - 9 x^{2} + 31 x - 39$
110056	Expand the Logarithmic Expression	log base 5 of 7 cube root of 11*12	$\log_{5} (7 \sqrt[3]{11 \cdot 12})$
110057	Expand the Logarithmic Expression	log of (z^5)/(y square root of x^3)	$\log (\frac{z^{5}}{y \sqrt{x^{3}}})$
110058	Expand the Logarithmic Expression	log of ( cube root of x^7)/(y^2z)	$\log (\frac{\sqrt[3]{x^{7}}}{y^{2} z})$
110059	Solve for x	y<4x-2	$y < 4 x - 2$
110060	Expand the Logarithmic Expression	log base 4 of x/(3y)	$\log_{4} (\frac{x}{3 y})$
110061	Solve for x	sixth root of 49=7^x	$\sqrt[6]{49} = 7^{x}$
110062	Solve for x	5x-17=-x+7	$5 x - 17 = - x + 7$
110063	Find the Slope	(17,-13) , (17,8)	$(17, - 13)$ , $(17, 8)$
110064	Find the Slope	5x-12y=24	$5 x - 12 y = 24$
110065	Factor	b(a+b)-a(a-b)	$b (a + b) - a (a - b)$
110066	Solve by Factoring	square root of x=0	$\sqrt{x} = 0$
110067	Solve by Graphing	x^2-2x-3=0	$x^{2} - 2 x - 3 = 0$
110068	Convert to a Percentage	2/30	$\frac{2}{30}$
110069	Evaluate the Function	f(0)=x^2-1	$f (0) = x^{2} - 1$
110070	Graph	y=-x^2+4x+8	$y = - x^{2} + 4 x + 8$
110071	Evaluate the Function	f(x+4)=x/(x^2+1)	$f (x + 4) = \frac{x}{x^{2} + 1}$
110072	Evaluate	sin(30)	$\sin (30)$
110073	Simplify	6y(y-21)	$6 y (y - 21)$
110074	Solve for y	x>2y	$x > 2 y$
110075	Simplify	-9x^2+19x-9x+6-17x^2+25+10x^2+3x	$- 9 x^{2} + 19 x - 9 x + 6 - 17 x^{2} + 25 + 10 x^{2} + 3 x$
110076	Find the Discriminant	x^2-26x+169=0	$x^{2} - 26 x + 169 = 0$
110077	Simplify	4 square root of 80	$4 \sqrt{80}$
110078	Find the Discriminant	3g^2+15g+10=0	$3 g^{2} + 15 g + 10 = 0$
110079	Convert to Radical Form	(54c)^(2/3)	${(54 c)}^{\frac{2}{3}}$
110080	Simplify	((a^5)/(a^-3b^-4))^(1/4)	${(\frac{a^{5}}{a^{- 3} b^{- 4}})}^{\frac{1}{4}}$
110081	Simplify	((16x^2)^(1/4))/((16x^2)^(3/4))	$\frac{{(16 x^{2})}^{\frac{1}{4}}}{{(16 x^{2})}^{\frac{3}{4}}}$
110082	Solve for x	3x=-39	$3 x = - 39$
110083	Simplify	(5-2 square root of 3)(5+2 square root of 3)	$(5 - 2 \sqrt{3}) (5 + 2 \sqrt{3})$
110084	Solve for y	8(y-2)=4y	$8 (y - 2) = 4 y$
110085	Find the x and y Intercepts	y=3x^3-81	$y = 3 x^{3} - 81$
110086	Solve for x	(2x+1)=5	$(2 x + 1) = 5$
110087	Solve for x	\|2x-5\|=4	$\| 2 x - 5 \| = 4$
110088	Simplify	square root of x/25	$\sqrt{\frac{x}{25}}$
110089	Convert to Radical Form	(2^(1/2)*2^(3/4))^2	${(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})}^{2}$
110090	Write in Exponential Form	log base 8 of 1=0	$\log_{8} (1) = 0$
110091	Find the Roots (Zeros)	x^3-12x^2+47x-60	$x^{3} - 12 x^{2} + 47 x - 60$
110092	Evaluate	log base 4 of 17	$\log_{4} (17)$
110093	Solve by Factoring	(-7x+2)^(1/3)=(4+3x)^(1/3)	${(- 7 x + 2)}^{\frac{1}{3}} = {(4 + 3 x)}^{\frac{1}{3}}$
110094	Convert to a Decimal	25/24	$\frac{25}{24}$
110095	Solve Using the Quadratic Formula	10-6x-9x^2=-9x	$10 - 6 x - 9 x^{2} = - 9 x$
110096	Solve Using the Quadratic Formula	10-6x-9x^2=-9x	$10 - 6 x - 9 x^{2} = - 9 x$
110097	Solve Using the Quadratic Formula	-2x^2+7x+1=17	$- 2 x^{2} + 7 x + 1 = 17$
110098	Solve Using the Quadratic Formula	(x-3)(x-5)=35	$(x - 3) (x - 5) = 35$
110099	Solve Using the Quadratic Formula	0=5x^2-2x+6	$0 = 5 x^{2} - 2 x + 6$
110100	Evaluate	(7/4)^11	${(\frac{7}{4})}^{11}$