Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182301	Find g(h(x))	g(x)=3-x^2 h(x)=4-3x	$g (x) = 3 - x^{2}$ $h (x) = 4 - 3 x$
182302	Multiply	(5-2x^4)(5+2x^4)	$(5 - 2 x^{4}) (5 + 2 x^{4})$
182303	Simplify	9a^3b^2c-5a^2bc^2-12a^3b^2c+3a^2bc^2+4a^3b^2c	$9 a^{3} b^{2} c - 5 a^{2} b c^{2} - 12 a^{3} b^{2} c + 3 a^{2} b c^{2} + 4 a^{3} b^{2} c$
182304	Simplify	(4-1/k)/(8/k-2/(k^2))	$\frac{4 - \frac{1}{k}}{\frac{8}{k} - \frac{2}{k^{2}}}$
182305	Solve for C	A=3/5(B+C)	$A = \frac{3}{5} (B + C)$
182306	Simplify	3^-1+2^-1	$3^{- 1} + 2^{- 1}$
182307	Simplify	8/(9^0)	$\frac{8}{9^{0}}$
182308	Find the Domain and Range	f^-1(x)=e^x+3	$f^{- 1} (x) = e^{x} + 3$
182309	Factor by Grouping	3x^3+24	$3 x^{3} + 24$
182310	Solve the Absolute Value Inequality for x	3+4\|3x+7\|>=-89	$3 + 4 \| 3 x + 7 \| \geq - 89$
182311	Evaluate Using the Given Value	Evaluate (m^2-3n^2k)/(m^3+2) ; if k=1/3 , n=-1 , m=4	Evaluate $\frac{m^{2} - 3 n^{2} k}{m^{3} + 2}$ ; if $k = \frac{1}{3}$ , $n = - 1$ , $m = 4$
182312	Solve for x	y = natural log of x+ square root of x^2+1	$y = \ln (x + \sqrt{x^{2} + 1})$
182313	Solve for w	6(w+1)-10=4(w-1)+2w	$6 (w + 1) - 10 = 4 (w - 1) + 2 w$
182314	Evaluate	(tan(theta)^2csc(theta)^2-1)/(sec(theta)^2)	$\frac{\tan^{2} (θ) \csc^{2} (θ) - 1}{\sec^{2} (θ)}$
182315	Find the x and y Intercepts	f(x)=2(x^2+4)	$f (x) = 2 (x^{2} + 4)$
182316	Graph Using a Table of Values	f(x)=x^3+1	$f (x) = x^{3} + 1$
182317	Solve for x	w=1/2(x+y-z)	$w = \frac{1}{2} (x + y - z)$
182318	Simplify	(-12-10i)/(-2i)	$\frac{- 12 - 10 i}{- 2 i}$
182319	Graph	y+7=\|x+5\|	$y + 7 = \| x + 5 \|$
182320	Find the x and y Intercepts	(x-2)(-x-5)=y	$(x - 2) (- x - 5) = y$
182321	Find the Roots (Zeros)	x^3+x^2+x	$x^{3} + x^{2} + x$
182322	Solve for x	4(x+9)-5(x-7)=73	$4 (x + 9) - 5 (x - 7) = 73$
182323	Solve Using the Quadratic Formula	a^2-b^2	$a^{2} - b^{2}$
182324	Solve for x	4/x-5/(x+3)=1	$\frac{4}{x} - \frac{5}{x + 3} = 1$
182325	Evaluate	(csc(theta))/(cot(theta))	$\frac{\csc (θ)}{\cot (θ)}$
182326	Multiply	( square root of 2)/2*( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
182327	Simplify	cube root of 216/16	$\sqrt[3]{\frac{216}{16}}$
182328	Evaluate	1+3.3 log of 40	$1 + 3.3 \log (40)$
182329	Evaluate	(5\|-5\|-25^3)/-5	$\frac{5 \| - 5 \| - 25^{3}}{- 5}$
182330	Simplify	((x^(n+5))/y)^2	${(\frac{x^{n + 5}}{y})}^{2}$
182331	Solve for q	6/r=7/p-1/q	$\frac{6}{r} = \frac{7}{p} - \frac{1}{q}$
182332	Factor	x^5+54x-15x^3	$x^{5} + 54 x - 15 x^{3}$
182333	Subtract	Subtract -7x+6 from -2x^2+9x-2	Subtract $- 7 x + 6$ from $- 2 x^{2} + 9 x - 2$
182334	Graph	y<=5x+1 y>=-5x+1 x<=3	$y \leq 5 x + 1$ $y \geq - 5 x + 1$ $x \leq 3$
182335	Solve for x	5x(x+6)=-50	$5 x (x + 6) = - 50$
182336	Find the Exact Value	2(1/5m-2/5)+3/5	$2 (\frac{1}{5} m - \frac{2}{5}) + \frac{3}{5}$
182337	Evaluate	x^2+1/(x^2)	$x^{2} + \frac{1}{x^{2}}$
182338	Solve for x	40-8x=-8(x-5)	$40 - 8 x = - 8 (x - 5)$
182339	Solve for v	P=2/3(N/V)1/2mv^2	$P = \frac{2}{3} (\frac{N}{V}) \frac{1}{2} m v^{2}$
182340	Find the Exact Value	2-(-2)	$2 - (- 2)$
182341	Graph	h(x)=2(x+3)(x^2-1)	$h (x) = 2 (x + 3) (x^{2} - 1)$
182342	Graph	r=5sin(theta/2)	$r = 5 \sin (\frac{θ}{2})$
182343	Simplify	(2x)/( square root of 30)	$\frac{2 x}{\sqrt{30}}$
182344	Solve by Factoring	12x^2-9x-3x^3=0	$12 x^{2} - 9 x - 3 x^{3} = 0$
182345	Solve for x	7x+7=6x+4+x+3	$7 x + 7 = 6 x + 4 + x + 3$
182346	Solve for w	9(w-4)-7w=5(3w-2)	$9 (w - 4) - 7 w = 5 (3 w - 2)$
182347	Solve for x	x^4+4x^2=0	$x^{4} + 4 x^{2} = 0$
182348	Solve for x	-5x+10x+3=5x+6	$- 5 x + 10 x + 3 = 5 x + 6$
182349	Simplify	(-w^3+8w^2-3w)+(-8w^2+w+3)	$(- w^{3} + 8 w^{2} - 3 w) + (- 8 w^{2} + w + 3)$
182350	Solve for x	x+10=x^2+1	$x + 10 = x^{2} + 1$
182351	Evaluate	(( square root of 225-11)*12)/(-12-(8-6^2))-\|-3\|	$\frac{(\sqrt{225} - 11) \cdot 12}{- 12 - (8 - 6^{2})} - \| - 3 \|$
182352	Simplify	(x+2)/(x-4)+2/x+(5x)/(3x-1)	$\frac{x + 2}{x - 4} + \frac{2}{x} + \frac{5 x}{3 x - 1}$
182353	Solve for x	x/a-x/(a+b)=1/(a+b)	$\frac{x}{a} - \frac{x}{a + b} = \frac{1}{a + b}$
182354	Solve for x	log base 1/5 of x=-1	$\log_{\frac{1}{5}} (x) = - 1$
182355	Simplify	(5x^2-3x+4)+(6x-3x^2-3)	$(5 x^{2} - 3 x + 4) + (6 x - 3 x^{2} - 3)$
182356	Solve for v	v^2=v^2+2 as	$v^{2} = v^{2} + 2$ as
182357	Expand the Logarithmic Expression	log of ( cube root of y^4z)/(x^2)	$\log (\frac{\sqrt[3]{y^{4}} z}{x^{2}})$
182358	Graph	f(x)=x(x-2)	$f (x) = x (x - 2)$
182359	Graph	x^2<=6x	$x^{2} \leq 6 x$
182360	Evaluate	square root of -2^2+ cube root of -5^3	$\sqrt{- 2^{2}} + \sqrt[3]{- 5^{3}}$
182361	Solve the Inequality for x	-3/8x-20+2x>6	$- \frac{3}{8} x - 20 + 2 x > 6$
182362	Factor	x^2=5x+36	$x^{2} = 5 x + 36$
182363	Find the Inverse	f(x)=-(9x)/8	$f (x) = - \frac{9 x}{8}$
182364	Simplify	(1/x+1/(x^2))/((x-1)/2-1/x)	$\frac{\frac{1}{x} + \frac{1}{x^{2}}}{\frac{x - 1}{2} - \frac{1}{x}}$
182365	Graph Using a Table of Values	f(x)=(x^2+x-6)/(x^2+x-20)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + x - 20}$
182366	Factor by Grouping	18mx-6my+54nx-18ny	$18 m x - 6 m y + 54 n x - 18 n y$
182367	Solve for x	\|(x+7)/(2x-1)\|=2	$\| \frac{x + 7}{2 x - 1} \| = 2$
182368	Simplify	(2x^2-32)/(x^3+9x^2+20x)*(x^3+5x^2)/(x^2-9x+20)	$\frac{2 x^{2} - 32}{x^{3} + 9 x^{2} + 20 x} \cdot \frac{x^{3} + 5 x^{2}}{x^{2} - 9 x + 20}$
182369	Solve for z	7<z/2+3	$7 < \frac{z}{2} + 3$
182370	Find q(r(x))	q(x)=x^2+3 r(x) = square root of x+2	$q (x) = x^{2} + 3$ $r (x) = \sqrt{x + 2}$
182371	Solve for x	3x+6=3(x+2)	$3 x + 6 = 3 (x + 2)$
182372	Simplify	(2y^2)(4xy^3)+(3xy^4)(5y)	$(2 y^{2}) (4 x y^{3}) + (3 x y^{4}) (5 y)$
182373	Expand the Logarithmic Expression	log of x/(y^4 cube root of z^2)	$\log (\frac{x}{y^{4} \sqrt[3]{z^{2}}})$
182374	Solve the Inequality for x	x^2+6x-16<=0	$x^{2} + 6 x - 16 \leq 0$
182375	Write in Standard Form	-3(x+3)^2-3+3x	$- 3 {(x + 3)}^{2} - 3 + 3 x$
182376	Evaluate	\|2x-1\|=5	$\| 2 x - 1 \| = 5$
182377	Solve the System of Equations	2x+4y=12 y=1/4x-3	$2 x + 4 y = 12$ $y = \frac{1}{4} x - 3$
182378	Simplify	(x^4+14x^3+40x^2)/(x^2+9x+20)*(3x+15)/(x^2+11x+10)	$\frac{x^{4} + 14 x^{3} + 40 x^{2}}{x^{2} + 9 x + 20} \cdot \frac{3 x + 15}{x^{2} + 11 x + 10}$
182379	Simplify	(5\|-2-73\|-217)/(22+ square root of 728)	$\frac{5 \cdot \| - 2 - 7 \cdot 3 \| - 2 \cdot 17}{22 + \sqrt{7 \cdot 28}}$
182380	Find the Parabola with Focus (3,0) and Directrix x=-3	(3,0) , x=-3	$(3, 0)$ , $x = - 3$
182381	Evaluate	g(f(0))	$g (f (0))$
182382	Graph	x+y>=-3 x+y<=3	$x + y \geq - 3$ $x + y \leq 3$
182383	Simplify	x+x+x+2 ?	$x + x + x + 2$ ?
182384	Solve for A	J=AC-3	$J = A C - 3$
182385	Multiply	(x^3+x^2+x+1)(x-1)	$(x^{3} + x^{2} + x + 1) (x - 1)$
182386	Factor by Grouping	8x^2y+2x-8xy+2	$8 x^{2} y + 2 x - 8 x y + 2$
182387	Graph	y=-3+4cos((5pi)/6(x+4))	$y = - 3 + 4 \cos (\frac{5 π}{6} (x + 4))$
182388	Solve for x	25x^2-20x-2=-6	$25 x^{2} - 20 x - 2 = - 6$
182389	Solve for p	\|5-3p\|+9=13p+8	$\| 5 - 3 p \| + 9 = 13 p + 8$
182390	Find the Exact Value	236÷2(6+(8)(7)-3)	$236 \div 2 (6 + (8) (7) - 3)$
182391	Factor	12(p^2-1)=7p	$12 (p^{2} - 1) = 7 p$
182392	Simplify	(2m^2+12m)/(4m^2-36)+18/(4m^2-36)	$\frac{2 m^{2} + 12 m}{4 m^{2} - 36} + \frac{18}{4 m^{2} - 36}$
182393	Write in Standard Form	-5/(2i)	$- \frac{5}{2 i}$
182394	Evaluate	((2pi)/3)/2	$\frac{(\frac{2 π}{3})}{2}$
182395	Write in Standard Form	(-w^3+8w^2-3w)-(4w^2+5w-7)	$(- w^{3} + 8 w^{2} - 3 w) - (4 w^{2} + 5 w - 7)$
182396	Solve for x	3x-1=3x^3-x^2	$3 x - 1 = 3 x^{3} - x^{2}$
182397	Solve for x	4(2-x)>-2x-3(4x+1)	$4 (2 - x) > - 2 x - 3 (4 x + 1)$
182398	Graph	e^2	$e^{2}$
182399	Solve for x	1/(x+7)+x/(x+5)=(2x)/(x^2+12x+35)	$\frac{1}{x + 7} + \frac{x}{x + 5} = \frac{2 x}{x^{2} + 12 x + 35}$
182400	Evaluate	e^(2x)-14e^x+13=0	$e^{2 x} - 14 e^{x} + 13 = 0$