Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168401	Solve for x	(a-c)/(x-a)=m	$\frac{a - c}{x - a} = m$
168402	Find the Domain and Range	square root of x^2-25	$\sqrt{x^{2} - 25}$
168403	Simplify	-216^(1/3)	$- 216^{\frac{1}{3}}$
168404	Solve for n	7=-5(n-4)-3	$7 = - 5 (n - 4) - 3$
168405	Factor	4d^3+16de^2-20df^3	$4 d^{3} + 16 d e^{2} - 20 d f^{3}$
168406	Simplify	((2x^3)(8x^5))/(4x^6)	$\frac{(2 x^{3}) (8 x^{5})}{4 x^{6}}$
168407	Solve the System of Equations	y=-5x+1 y=3x-2	$y = - 5 x + 1$ $y = 3 x - 2$
168408	Solve for x	3x^3+x^2-48x=16	$3 x^{3} + x^{2} - 48 x = 16$
168409	Solve for x	x/3-3/4=(2x+3)/12	$\frac{x}{3} - \frac{3}{4} = \frac{2 x + 3}{12}$
168410	Simplify	(3^3)^-2	${(3^{3})}^{- 2}$
168411	Find the Holes in the Graph	f(x)=(x-10)/(x^2-100)	$f (x) = \frac{x - 10}{x^{2} - 100}$
168412	Solve Using the Quadratic Formula	d^2-4d+5=d	$d^{2} - 4 d + 5 = d$
168413	Solve for x	-2+5x-7=3x-9+2x	$- 2 + 5 x - 7 = 3 x - 9 + 2 x$
168414	Simplify	7a+8a^2+7a^0-4a^2-9a	$7 a + 8 a^{2} + 7 a^{0} - 4 a^{2} - 9 a$
168415	Simplify	(k^2-5k-2)(k^2+2)	$(k^{2} - 5 k - 2) (k^{2} + 2)$
168416	Simplify	i/i	$\frac{i}{i}$
168417	Factor	4a^4+8a^2b^2+9b^4	$4 a^{4} + 8 a^{2} b^{2} + 9 b^{4}$
168418	Solve for x	5x^2-7=5+2x^2	$5 x^{2} - 7 = 5 + 2 x^{2}$
168419	Simplify	(-9v^2-8u)+(-2uv-2u^2+v^2)+(-v^2+4uv)	$(- 9 v^{2} - 8 u) + (- 2 u v - 2 u^{2} + v^{2}) + (- v^{2} + 4 u v)$
168420	Solve the Inequality for x	x/4>=-6	$\frac{x}{4} \geq - 6$
168421	Evaluate	1/321-1-1/212	$\frac{1}{3} \cdot 21 - 1 - \frac{1}{2} \cdot 12$
168422	Solve for x	-2=x/2.5+1	$- 2 = \frac{x}{2.5} + 1$
168423	Solve Using the Quadratic Formula	2x-5	$2 x - 5$
168424	Subtract	8 4/6-5 8/12	$8 \frac{4}{6} - 5 \frac{8}{12}$
168425	Write in Standard Form	4x^2-9x-8=-4x	$4 x^{2} - 9 x - 8 = - 4 x$
168426	Solve the Inequality for n	3n-7<26	$3 n - 7 < 26$
168427	Evaluate	3.4-2.8d+2.8d-1.3	$3.4 - 2.8 d + 2.8 d - 1.3$
168428	Graph	f(x)=x^3+x^2-9x-9	$f (x) = x^{3} + x^{2} - 9 x - 9$
168429	Solve for x	3x+k=c for x	$3 x + k = c$ for $x$
168430	Solve for d	5/3-2d=5/6d-d+3	$\frac{5}{3} - 2 d = \frac{5}{6} d - d + 3$
168431	Solve for x	-9-1/(x-5)=-(5x)/(x-5)	$- 9 - \frac{1}{x - 5} = - \frac{5 x}{x - 5}$
168432	Find the First Term	a_n=3n+1	$a_{n} = 3 n + 1$
168433	Find the x and y Intercepts	f(x)=(-4x^2+4x)/(5x^2-25x+20)	$f (x) = \frac{- 4 x^{2} + 4 x}{5 x^{2} - 25 x + 20}$
168434	Solve for x	3ax+b=c	$3 a x + b = c$
168435	Find the x and y Intercepts	f(x)=(-3x^2-21x-36)/(2x^2+6x)	$f (x) = \frac{- 3 x^{2} - 21 x - 36}{2 x^{2} + 6 x}$
168436	Solve the Inequality for x	-2<=x-11<=6	$- 2 \leq x - 11 \leq 6$
168437	Solve for m	4-2m>7-3m	$4 - 2 m > 7 - 3 m$
168438	Solve for z	-20z-8z+2z+19z+5=-2	$- 20 z - 8 z + 2 z + 19 z + 5 = - 2$
168439	Simplify	square root of 3* square root of 7* square root of 17	$\sqrt{3} \cdot \sqrt{7} \cdot \sqrt{17}$
168440	Find the Holes in the Graph	f(x)=(x^2-9)/(x+3)	$f (x) = \frac{x^{2} - 9}{x + 3}$
168441	Solve the Inequality for x	(x-9)/(3x+2)>=3	$\frac{x - 9}{3 x + 2} \geq 3$
168442	Solve for g	8g-5g-4<=-3+3g	$8 g - 5 g - 4 \leq - 3 + 3 g$
168443	Solve for x	x-4/7=-2/5	$x - \frac{4}{7} = - \frac{2}{5}$
168444	Convert to Radical Form	(4^11)/(4^-8)	$\frac{4^{11}}{4^{- 8}}$
168445	Simplify	(8x^3*12xy^7)/(3x^2y^4)-15x^2y^3	$\frac{8 x^{3} \cdot 12 x y^{7}}{3 x^{2} y^{4}} - 15 x^{2} y^{3}$
168446	Convert to a Decimal	-9 11/30	$- 9 \frac{11}{30}$
168447	Simplify	(3+7i)(-2-2i)-4i(5-9i)	$(3 + 7 i) (- 2 - 2 i) - 4 i (5 - 9 i)$
168448	Solve for x	\|2x\|=3	$\| 2 x \| = 3$
168449	Factor	(x-4)(x^2-8x+16)	$(x - 4) (x^{2} - 8 x + 16)$
168450	Simplify	((-3q^-3)^3)/(-6q^-6)	$\frac{{(- 3 q^{- 3})}^{3}}{- 6 q^{- 6}}$
168451	Evaluate	-(-1+1)^2	$- {(- 1 + 1)}^{2}$
168452	Solve for x	1+x/(x-5)=1/(x-5)	$1 + \frac{x}{x - 5} = \frac{1}{x - 5}$
168453	Solve for k	-3k=m	$- 3 k = m$
168454	Solve for x	-11+10(x+10)=4-5(2x+11)	$- 11 + 10 (x + 10) = 4 - 5 (2 x + 11)$
168455	Solve the System of Inequalities	r/4<-5 or -2r-7<=3	$\frac{r}{4} < - 5$ or $- 2 r - 7 \leq 3$
168456	Simplify	x(3.8-2.6)+3+3.2(x+2)	$x (3.8 - 2.6) + 3 + 3.2 (x + 2)$
168457	Graph	f(x)=\|x\| if x<=0; 1/x if x>0	$f (x) = {\begin{cases} \| x \| & x \leq 0 \\ \frac{1}{x} & x > 0 \end{cases}$
168458	Find the Distance Between Two Points	(-6,7) and (-3,0)	$(- 6, 7)$ and $(- 3, 0)$
168459	Solve for m	9/8m-1/6m=-4-11/3	$\frac{9}{8} m - \frac{1}{6} m = - 4 - \frac{11}{3}$
168460	Solve the Inequality for x	x^2-2x+1>=0	$x^{2} - 2 x + 1 \geq 0$
168461	Solve for y	12=\|y/8\|	$12 = \| \frac{y}{8} \|$
168462	Solve the Inequality for x	(x-2)(x+3)>0	$(x - 2) (x + 3) > 0$
168463	Graph	f(x)=x(x+4)	$f (x) = x (x + 4)$
168464	Find the Exact Value	log base 4 of 32	$\log_{4} (32)$
168465	Solve for b	3/7=2/7+7/8b	$\frac{3}{7} = \frac{2}{7} + \frac{7}{8} b$
168466	Find the Inverse	f(x)=(2x+1)/(3x)	$f (x) = \frac{2 x + 1}{3 x}$
168467	Solve for x	1/3(2x+3)=3	$\frac{1}{3} (2 x + 3) = 3$
168468	Solve for p	1-\|3p+1\|=-3	$1 - \| 3 p + 1 \| = - 3$
168469	Solve for x	x/(x-3)+1=7/(x-3)	$\frac{x}{x - 3} + 1 = \frac{7}{x - 3}$
168470	Evaluate	(bm)^-3	${(b m)}^{- 3}$
168471	Solve for x	1/2x-5=10-3/4x	$\frac{1}{2} x - 5 = 10 - \frac{3}{4} x$
168472	Solve for x	32^(x/3)=8^(x-12)	$32^{\frac{x}{3}} = 8^{x - 12}$
168473	Simplify	(x^6)/(x^-2*x^4)	$\frac{x^{6}}{x^{- 2} \cdot x^{4}}$
168474	Combine Like Terms	-7x^3-x-2y^3+3y^3-x^3+3y^3-3x	$- 7 x^{3} - x - 2 y^{3} + 3 y^{3} - x^{3} + 3 y^{3} - 3 x$
168475	Simplify	(7-3i)+(x-2i)^2-(4i+2x^2)	$(7 - 3 i) + {(x - 2 i)}^{2} - (4 i + 2 x^{2})$
168476	Find the Function	f(x) = square root of x+1	$f (x) = \sqrt{x + 1}$
168477	Find the Domain and Range	y=(x-2)	$y = (x - 2)$
168478	Simplify	2(x^2-2)-5	$2 (x^{2} - 2) - 5$
168479	Solve the System of Inequalities	2x-2<-12 or 2x+3>7	$2 x - 2 < - 12$ or $2 x + 3 > 7$
168480	Evaluate	7.4z-5(-1.6z+2.4)	$7.4 z - 5 (- 1.6 z + 2.4)$
168481	Solve Using the Quadratic Formula	x=(-2+- square root of 2^2-41-4)/(2(1))	$x = \frac{- 2 + - \sqrt{2^{2} - 4 \cdot 1 \cdot - 4}}{2 (1)}$
168482	Solve the System of Equations	4x+5y=5 8x+10y=10	$4 x + 5 y = 5$ $8 x + 10 y = 10$
168483	Simplify	(10n)/(2(n^-3)^4)	$\frac{10 n}{2 {(n^{- 3})}^{4}}$
168484	Write in Slope-Intercept Form	4x+16-8y=0	$4 x + 16 - 8 y = 0$
168485	Simplify	(7 square root of -12)( square root of -7)	$(7 \sqrt{- 12}) (\sqrt{- 7})$
168486	Convert to Scientific Notation	(7.29610^2)÷9.610^-9	$7.296 \times 10^{2} \div 9.6 \times 10^{- 9}$
168487	Solve for x	9x+1-9x=5-4	$9 x + 1 - 9 x = 5 - 4$
168488	Solve for θ	4sin(theta)^2=1	$4 \sin^{2} (θ) = 1$
168489	Write in Standard Form	x^2+3x=8	$x^{2} + 3 x = 8$
168490	Graph	y=(x+2)(x-3)^2(x-1)^2	$y = (x + 2) {(x - 3)}^{2} {(x - 1)}^{2}$
168491	Solve for n	6/11n-3/11n=-4+23/11	$\frac{6}{11} n - \frac{3}{11} n = - 4 + \frac{23}{11}$
168492	Solve for a	c=1/3(a^2+b)	$c = \frac{1}{3} (a^{2} + b)$
168493	Combine Like Terms	-6y+1-x^3-3x^3+1+2y-3x^3	$- 6 y + 1 - x^{3} - 3 x^{3} + 1 + 2 y - 3 x^{3}$
168494	Solve for x	26=-1+(27x)^(3/4)	$26 = - 1 + {(27 x)}^{\frac{3}{4}}$
168495	Evaluate	1-e^-1	$1 - e^{- 1}$
168496	Combine Like Terms	6+2+2x+6y+2y+1+2x	$6 + 2 + 2 x + 6 y + 2 y + 1 + 2 x$
168497	Simplify	((6m)/(m+5))/((24m^2)/(m^2-25))	$\frac{\frac{6 m}{m + 5}}{\frac{24 m^{2}}{m^{2} - 25}}$
168498	Factor	5x^2y^2-15xy+20xyz	$5 x^{2} y^{2} - 15 x y + 20 x y z$
168499	Find the Holes in the Graph	f(x)=(4x+18)/(-3x)	$f (x) = \frac{4 x + 18}{- 3 x}$
168500	Simplify	(3/5a^6b^9)^2	${(\frac{3}{5} a^{6} b^{9})}^{2}$