Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182301	Graph Using a Table of Values	f(x)=x^3+1	$f (x) = x^{3} + 1$
182302	Solve for x	w=1/2(x+y-z)	$w = \frac{1}{2} (x + y - z)$
182303	Simplify	(-12-10i)/(-2i)	$\frac{- 12 - 10 i}{- 2 i}$
182304	Graph	y+7=\|x+5\|	$y + 7 = \| x + 5 \|$
182305	Find the x and y Intercepts	(x-2)(-x-5)=y	$(x - 2) (- x - 5) = y$
182306	Find the Roots (Zeros)	x^3+x^2+x	$x^{3} + x^{2} + x$
182307	Solve for x	4(x+9)-5(x-7)=73	$4 (x + 9) - 5 (x - 7) = 73$
182308	Solve Using the Quadratic Formula	a^2-b^2	$a^{2} - b^{2}$
182309	Solve for x	4/x-5/(x+3)=1	$\frac{4}{x} - \frac{5}{x + 3} = 1$
182310	Evaluate	(csc(theta))/(cot(theta))	$\frac{\csc (θ)}{\cot (θ)}$
182311	Multiply	( square root of 2)/2*( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
182312	Simplify	cube root of 216/16	$\sqrt[3]{\frac{216}{16}}$
182313	Evaluate	1+3.3 log of 40	$1 + 3.3 \log (40)$
182314	Evaluate	(5\|-5\|-25^3)/-5	$\frac{5 \| - 5 \| - 25^{3}}{- 5}$
182315	Simplify	((x^(n+5))/y)^2	${(\frac{x^{n + 5}}{y})}^{2}$
182316	Solve for q	6/r=7/p-1/q	$\frac{6}{r} = \frac{7}{p} - \frac{1}{q}$
182317	Factor	x^5+54x-15x^3	$x^{5} + 54 x - 15 x^{3}$
182318	Subtract	Subtract -7x+6 from -2x^2+9x-2	Subtract $- 7 x + 6$ from $- 2 x^{2} + 9 x - 2$
182319	Graph	y<=5x+1 y>=-5x+1 x<=3	$y \leq 5 x + 1$ $y \geq - 5 x + 1$ $x \leq 3$
182320	Solve for x	5x(x+6)=-50	$5 x (x + 6) = - 50$
182321	Find the Exact Value	2(1/5m-2/5)+3/5	$2 (\frac{1}{5} m - \frac{2}{5}) + \frac{3}{5}$
182322	Evaluate	x^2+1/(x^2)	$x^{2} + \frac{1}{x^{2}}$
182323	Solve for x	40-8x=-8(x-5)	$40 - 8 x = - 8 (x - 5)$
182324	Solve for v	P=2/3(N/V)1/2mv^2	$P = \frac{2}{3} (\frac{N}{V}) \frac{1}{2} m v^{2}$
182325	Find the Exact Value	2-(-2)	$2 - (- 2)$
182326	Graph	h(x)=2(x+3)(x^2-1)	$h (x) = 2 (x + 3) (x^{2} - 1)$
182327	Graph	r=5sin(theta/2)	$r = 5 \sin (\frac{θ}{2})$
182328	Simplify	(2x)/( square root of 30)	$\frac{2 x}{\sqrt{30}}$
182329	Solve by Factoring	12x^2-9x-3x^3=0	$12 x^{2} - 9 x - 3 x^{3} = 0$
182330	Solve for x	7x+7=6x+4+x+3	$7 x + 7 = 6 x + 4 + x + 3$
182331	Solve for w	9(w-4)-7w=5(3w-2)	$9 (w - 4) - 7 w = 5 (3 w - 2)$
182332	Solve for x	x^4+4x^2=0	$x^{4} + 4 x^{2} = 0$
182333	Solve for x	-5x+10x+3=5x+6	$- 5 x + 10 x + 3 = 5 x + 6$
182334	Simplify	(-w^3+8w^2-3w)+(-8w^2+w+3)	$(- w^{3} + 8 w^{2} - 3 w) + (- 8 w^{2} + w + 3)$
182335	Solve for x	x+10=x^2+1	$x + 10 = x^{2} + 1$
182336	Evaluate	(( square root of 225-11)*12)/(-12-(8-6^2))-\|-3\|	$\frac{(\sqrt{225} - 11) \cdot 12}{- 12 - (8 - 6^{2})} - \| - 3 \|$
182337	Simplify	(x+2)/(x-4)+2/x+(5x)/(3x-1)	$\frac{x + 2}{x - 4} + \frac{2}{x} + \frac{5 x}{3 x - 1}$
182338	Solve for x	x/a-x/(a+b)=1/(a+b)	$\frac{x}{a} - \frac{x}{a + b} = \frac{1}{a + b}$
182339	Solve for x	log base 1/5 of x=-1	$\log_{\frac{1}{5}} (x) = - 1$
182340	Simplify	(5x^2-3x+4)+(6x-3x^2-3)	$(5 x^{2} - 3 x + 4) + (6 x - 3 x^{2} - 3)$
182341	Solve for v	v^2=v^2+2 as	$v^{2} = v^{2} + 2$ as
182342	Expand the Logarithmic Expression	log of ( cube root of y^4z)/(x^2)	$\log (\frac{\sqrt[3]{y^{4}} z}{x^{2}})$
182343	Graph	f(x)=x(x-2)	$f (x) = x (x - 2)$
182344	Graph	x^2<=6x	$x^{2} \leq 6 x$
182345	Evaluate	square root of -2^2+ cube root of -5^3	$\sqrt{- 2^{2}} + \sqrt[3]{- 5^{3}}$
182346	Solve the Inequality for x	-3/8x-20+2x>6	$- \frac{3}{8} x - 20 + 2 x > 6$
182347	Factor	x^2=5x+36	$x^{2} = 5 x + 36$
182348	Find the Inverse	f(x)=-(9x)/8	$f (x) = - \frac{9 x}{8}$
182349	Simplify	(1/x+1/(x^2))/((x-1)/2-1/x)	$\frac{\frac{1}{x} + \frac{1}{x^{2}}}{\frac{x - 1}{2} - \frac{1}{x}}$
182350	Graph Using a Table of Values	f(x)=(x^2+x-6)/(x^2+x-20)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + x - 20}$
182351	Factor by Grouping	18mx-6my+54nx-18ny	$18 m x - 6 m y + 54 n x - 18 n y$
182352	Solve for x	\|(x+7)/(2x-1)\|=2	$\| \frac{x + 7}{2 x - 1} \| = 2$
182353	Simplify	(2x^2-32)/(x^3+9x^2+20x)*(x^3+5x^2)/(x^2-9x+20)	$\frac{2 x^{2} - 32}{x^{3} + 9 x^{2} + 20 x} \cdot \frac{x^{3} + 5 x^{2}}{x^{2} - 9 x + 20}$
182354	Solve for z	7<z/2+3	$7 < \frac{z}{2} + 3$
182355	Find q(r(x))	q(x)=x^2+3 r(x) = square root of x+2	$q (x) = x^{2} + 3$ $r (x) = \sqrt{x + 2}$
182356	Solve for x	3x+6=3(x+2)	$3 x + 6 = 3 (x + 2)$
182357	Simplify	(2y^2)(4xy^3)+(3xy^4)(5y)	$(2 y^{2}) (4 x y^{3}) + (3 x y^{4}) (5 y)$
182358	Expand the Logarithmic Expression	log of x/(y^4 cube root of z^2)	$\log (\frac{x}{y^{4} \sqrt[3]{z^{2}}})$
182359	Solve the Inequality for x	x^2+6x-16<=0	$x^{2} + 6 x - 16 \leq 0$
182360	Write in Standard Form	-3(x+3)^2-3+3x	$- 3 {(x + 3)}^{2} - 3 + 3 x$
182361	Evaluate	\|2x-1\|=5	$\| 2 x - 1 \| = 5$
182362	Solve the System of Equations	2x+4y=12 y=1/4x-3	$2 x + 4 y = 12$ $y = \frac{1}{4} x - 3$
182363	Simplify	(x^4+14x^3+40x^2)/(x^2+9x+20)*(3x+15)/(x^2+11x+10)	$\frac{x^{4} + 14 x^{3} + 40 x^{2}}{x^{2} + 9 x + 20} \cdot \frac{3 x + 15}{x^{2} + 11 x + 10}$
182364	Simplify	(5\|-2-73\|-217)/(22+ square root of 728)	$\frac{5 \cdot \| - 2 - 7 \cdot 3 \| - 2 \cdot 17}{22 + \sqrt{7 \cdot 28}}$
182365	Find the Parabola with Focus (3,0) and Directrix x=-3	(3,0) , x=-3	$(3, 0)$ , $x = - 3$
182366	Evaluate	g(f(0))	$g (f (0))$
182367	Graph	x+y>=-3 x+y<=3	$x + y \geq - 3$ $x + y \leq 3$
182368	Simplify	x+x+x+2 ?	$x + x + x + 2$ ?
182369	Solve for A	J=AC-3	$J = A C - 3$
182370	Multiply	(x^3+x^2+x+1)(x-1)	$(x^{3} + x^{2} + x + 1) (x - 1)$
182371	Factor by Grouping	8x^2y+2x-8xy+2	$8 x^{2} y + 2 x - 8 x y + 2$
182372	Graph	y=-3+4cos((5pi)/6(x+4))	$y = - 3 + 4 \cos (\frac{5 π}{6} (x + 4))$
182373	Solve for x	25x^2-20x-2=-6	$25 x^{2} - 20 x - 2 = - 6$
182374	Solve for p	\|5-3p\|+9=13p+8	$\| 5 - 3 p \| + 9 = 13 p + 8$
182375	Find the Exact Value	236÷2(6+(8)(7)-3)	$236 \div 2 (6 + (8) (7) - 3)$
182376	Factor	12(p^2-1)=7p	$12 (p^{2} - 1) = 7 p$
182377	Simplify	(2m^2+12m)/(4m^2-36)+18/(4m^2-36)	$\frac{2 m^{2} + 12 m}{4 m^{2} - 36} + \frac{18}{4 m^{2} - 36}$
182378	Write in Standard Form	-5/(2i)	$- \frac{5}{2 i}$
182379	Evaluate	((2pi)/3)/2	$\frac{(\frac{2 π}{3})}{2}$
182380	Write in Standard Form	(-w^3+8w^2-3w)-(4w^2+5w-7)	$(- w^{3} + 8 w^{2} - 3 w) - (4 w^{2} + 5 w - 7)$
182381	Solve for x	3x-1=3x^3-x^2	$3 x - 1 = 3 x^{3} - x^{2}$
182382	Solve for x	4(2-x)>-2x-3(4x+1)	$4 (2 - x) > - 2 x - 3 (4 x + 1)$
182383	Graph	e^2	$e^{2}$
182384	Solve for x	1/(x+7)+x/(x+5)=(2x)/(x^2+12x+35)	$\frac{1}{x + 7} + \frac{x}{x + 5} = \frac{2 x}{x^{2} + 12 x + 35}$
182385	Evaluate	e^(2x)-14e^x+13=0	$e^{2 x} - 14 e^{x} + 13 = 0$
182386	Simplify	2( cube root of 12-5x)^3+8	$2 {(\sqrt[3]{12 - 5 x})}^{3} + 8$
182387	Evaluate	20% of 30	$20 %$ of $30$
182388	Solve for x	\|3x-5\|=\|2x+20\|	$\| 3 x - 5 \| = \| 2 x + 20 \|$
182389	Solve for n	3n+16=7n	$3 n + 16 = 7 n$
182390	Solve for x	4-2x>7-3x	$4 - 2 x > 7 - 3 x$
182391	Find g(f(x))	f(x)=x^2-x+14 g(x)=-5x-8	$f (x) = x^{2} - x + 14$ $g (x) = - 5 x - 8$
182392	Solve the Inequality for x	2x>-10	$2 x > - 10$
182393	Solve the Rational Equation for x	(2x)/(x-1)-(2x-5)/(x^2-3x+2)=-3/(x-2)	$\frac{2 x}{x - 1} - \frac{2 x - 5}{x^{2} - 3 x + 2} = \frac{- 3}{x - 2}$
182394	Solve for x	2/3=(x-1)/5	$\frac{2}{3} = \frac{x - 1}{5}$
182395	Simplify	(43-1)/(4+2)+10	$\frac{43 - 1}{4 + 2} + 10$
182396	Find p(q(x))	p(x)=x^2+6 q(x) = square root of x+1	$p (x) = x^{2} + 6$ $q (x) = \sqrt{x + 1}$
182397	Solve for x	y = cube root of x+2	$y = \sqrt[3]{x + 2}$
182398	Simplify the Radical Expression	cube root of x^15	$\sqrt[3]{x^{15}}$
182399	Solve for k	k-3k=6k+5-8k	$k - 3 k = 6 k + 5 - 8 k$
182400	Simplify	x^2(4x^(-1/2))^2	$x^{2} {(4 x^{- \frac{1}{2}})}^{2}$