Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186401	Solve for x	-10+x>-3	$- 10 + x > - 3$
186402	Divide Using Synthetic Division	(3x-4x^3+6x^4+1)/(x+3)	$\frac{(3 x - 4 x^{3} + 6 x^{4} + 1)}{(x + 3)}$
186403	Solve by Completing the Square	x^2+306=16x-3	$x^{2} + 306 = 16 x - 3$
186404	Simplify	4i^15*5i^6	$4 i^{15} \cdot 5 i^{6}$
186405	Factor	x^3-x=0	$x^{3} - x = 0$
186406	Graph	g(x)=(-x)^(1/2)	$g (x) = {(- x)}^{\frac{1}{2}}$
186407	Solve for x	(8x-8)3/2=64	$(8 x - 8) \frac{3}{2} = 64$
186408	Simplify	11y^2(xy^5)	$11 y^{2} (x y^{5})$
186409	Solve for z	9z^2-30z+26=1	$9 z^{2} - 30 z + 26 = 1$
186410	Solve for m	9+12m=6+15(m-1)	$9 + 12 m = 6 + 15 (m - 1)$
186411	Expand the Logarithmic Expression	log of x/( cube root of yz^4)	$\log (\frac{x}{\sqrt[3]{y} z^{4}})$
186412	Simplify the Radical Expression	square root of 1/2	$\sqrt{\frac{1}{2}}$
186413	Find All Complex Solutions	square root of 3x+1- square root of x-1=2	$\sqrt{3 x + 1} - \sqrt{x - 1} = 2$
186414	Graph	g(x)=1/4x^3+1/2x^2+1/4x	$g (x) = \frac{1}{4} x^{3} + \frac{1}{2} x^{2} + \frac{1}{4} x$
186415	Evaluate	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \times 10^{- 7}}$
186416	Find the x and y Intercepts	f(x)=(x^2+6)	$f (x) = (x^{2} + 6)$
186417	Graph Using a Table of Values	f(x) = square root of x-6	$f (x) = \sqrt{x - 6}$
186418	Solve for p	(p+10)/8=(2p-7)/4	$\frac{p + 10}{8} = \frac{2 p - 7}{4}$
186419	Solve the Inequality for x	x(x+4)<=-3	$x (x + 4) \leq - 3$
186420	Simplify	(-15(y^2)^4)/(5y^3y^4)	$\frac{- 15 {(y^{2})}^{4}}{5 y^{3} y^{4}}$
186421	Graph	x^2+y^2+2x-4Y-11=0	$x^{2} + y^{2} + 2 x - 4 Y - 11 = 0$
186422	Solve the Inequality for x	10/(x-2)>=2	$\frac{10}{x - 2} \geq 2$
186423	Graph	f(x)=(2x^2+1)/x	$f (x) = \frac{2 x^{2} + 1}{x}$
186424	Find the x and y Intercepts	f(x)=-2x(x-1)(x-1)(x-2)^3	$f (x) = - 2 x (x - 1) (x - 1) {(x - 2)}^{3}$
186425	Solve for x	\|x\|>x-1	$\| x \| > x - 1$
186426	Simplify	(-10+5i)/(-2i-1)	$\frac{- 10 + 5 i}{- 2 i - 1}$
186427	Divide	((x+5)/(x-6))÷((x-2)/(x^2-x-30))	$\frac{x + 5}{x - 6} \div \frac{x - 2}{x^{2} - x - 30}$
186428	Solve for x	y=10^x	$y = 10^{x}$
186429	Find the 6th Term	1 , 3 , 6 , 10 , 15	$1$ , $3$ , $6$ , $10$ , $15$
186430	Factor	8x^5y^2+12xy^3-2xy-6xy^2	$8 x^{5} y^{2} + 12 x y^{3} - 2 x y - 6 x y^{2}$
186431	Solve for x	7/(x+1)+x/(x-1)=(2x)/(x^2-1)	$\frac{7}{x + 1} + \frac{x}{x - 1} = \frac{2 x}{x^{2} - 1}$
186432	Solve the Inequality for w	4w^2-25>=0	$4 w^{2} - 25 \geq 0$
186433	Simplify	(- square root of 6+ square root of 2)/4	$\frac{- \sqrt{6} + \sqrt{2}}{4}$
186434	Graph	P(x)=(x+3)(x+1)^2(3x-4)	$P (x) = (x + 3) {(x + 1)}^{2} (3 x - 4)$
186435	Simplify	-(2x^3+x^2)+3(x^3-4x^2)	$- (2 x^{3} + x^{2}) + 3 (x^{3} - 4 x^{2})$
186436	Simplify	square root of -1^2	$\sqrt{- 1^{2}}$
186437	Evaluate	5/7(2/3)^2+1/9	$\frac{5}{7} {(\frac{2}{3})}^{2} + \frac{1}{9}$
186438	Solve for a	xx^(3/4)=x^a	$x \cdot x^{\frac{3}{4}} = x^{a}$
186439	Simplify	x/(4x^2)-(2x+3)/(4x^2)	$\frac{x}{4 x^{2}} - \frac{2 x + 3}{4 x^{2}}$
186440	Factor	y=x^2-9	$y = x^{2} - 9$
186441	Solve for x	\|3x-6\|=0	$\| 3 x - 6 \| = 0$
186442	Factor	2s^3-27-18s+3s^2	$2 s^{3} - 27 - 18 s + 3 s^{2}$
186443	Simplify	x/2+x	$\frac{x}{2} + x$
186444	Graph	(7,infinity)	$(7, \infty)$
186445	Write in Standard Form	3x(1-2x)=16	$3 x (1 - 2 x) = 16$
186446	Simplify	(6^2-3^3)÷2	$(6^{2} - 3^{3}) \div 2$
186447	Solve for x	5px-q^2=3c	$5 p x - q^{2} = 3 c$
186448	Factor	x^2+bx-a(a+b)	$x^{2} + b x - a (a + b)$
186449	Find f(g(x))	f(x)=-4x-10 g(x)=x^2+x+9	$f (x) = - 4 x - 10$ $g (x) = x^{2} + x + 9$
186450	Solve for V	m=d*V	$m = d \cdot V$
186451	Solve for x	2(x-8)=x+5x	$2 (x - 8) = x + 5 x$
186452	Evaluate	square root of x^2=x	$\sqrt{x^{2}} = x$
186453	Simplify	(6x^5+30x^4-84x^3)/(3x^5-30x^4+48x^3)*(x-8)/(x^2+17x+70)	$\frac{6 x^{5} + 30 x^{4} - 84 x^{3}}{3 x^{5} - 30 x^{4} + 48 x^{3}} \cdot \frac{x - 8}{x^{2} + 17 x + 70}$
186454	Solve for a	b/a=c+3b	$\frac{b}{a} = c + 3 b$
186455	Graph Using a Table of Values	f(x)=(2x)/(x-3)	$f (x) = \frac{2 x}{x - 3}$
186456	Find the Function	f(x)=3x^3	$f (x) = 3 x^{3}$
186457	Simplify	(a/b+c)/(a/b-c)	$\frac{\frac{a}{b} + c}{\frac{a}{b} - c}$
186458	Solve the Inequality for b	6b-1<12+7b	$6 b - 1 < 12 + 7 b$
186459	Simplify	(-4x+3)-(7x-3x^2-1)	$(- 4 x + 3) - (7 x - 3 x^{2} - 1)$
186460	Simplify	(4^5)÷(4^-9)	$4^{5} \div 4^{- 9}$
186461	Simplify	(2-4/(x+2))/(5+10/(x+2))	$\frac{2 - \frac{4}{x + 2}}{5 + \frac{10}{x + 2}}$
186462	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x-2=0	$x^{2} + x - 2 = 0$
186463	Simplify	(2x^2+14x+12)/(4x+24)*(x+10)/(x^2+11x+10)	$\frac{2 x^{2} + 14 x + 12}{4 x + 24} \cdot \frac{x + 10}{x^{2} + 11 x + 10}$
186464	Solve for a	( fourth root of x^5)/(x^3)=x^a	$\frac{\sqrt[4]{x^{5}}}{x^{3}} = x^{a}$
186465	Solve the Inequality for x	x/3-1/(x-2)<(x+1)/4	$\frac{x}{3} - \frac{1}{x - 2} < \frac{x + 1}{4}$
186466	Solve for m	40m+7m-7m-12m-26m=46	$40 m + 7 m - 7 m - 12 m - 26 m = 46$
186467	Simplify	( square root of 2)÷2	$\sqrt{2} \div 2$
186468	Simplify	(2x^3+3x^2-x-5)-(x^3-2x^2+5x-1)	$(2 x^{3} + 3 x^{2} - x - 5) - (x^{3} - 2 x^{2} + 5 x - 1)$
186469	Solve for y	8x-2y=12 for y	$8 x - 2 y = 12$ for $y$
186470	Simplify	sin(x)+sin(-x)	$\sin (x) + \sin (- x)$
186471	Graph	(1/2x)^2	${(\frac{1}{2} x)}^{2}$
186472	Evaluate	(1+(1/10))^10	${(1 + (\frac{1}{10}))}^{10}$
186473	Graph	2.5-1.2x<6.5-3.2x	$2.5 - 1.2 x < 6.5 - 3.2 x$
186474	Simplify	( square root of 2ab^2)( fourth root of a^3b)	$(\sqrt{2 a b^{2}}) (\sqrt[4]{a^{3} b})$
186475	Simplify	(-1/2)^4	${(- \frac{1}{2})}^{4}$
186476	Solve for x	\|x\|+5<=1	$\| x \| + 5 \leq 1$
186477	Solve the System of Inequalities	16<x+9 or 18<=x+9	$16 < x + 9$ or $18 \leq x + 9$
186478	Find the Inverse	f(x) = seventh root of (x^3)/7	$f (x) = \sqrt[7]{\frac{x^{3}}{7}}$
186479	Write in Standard Form	(-5t^3+4t^2-t)-(8t^2+t)	$(- 5 t^{3} + 4 t^{2} - t) - (8 t^{2} + t)$
186480	Solve the System of Inequalities	9x-5<-41 or 3x+13>7	$9 x - 5 < - 41$ or $3 x + 13 > 7$
186481	Evaluate	2^(2x-1)=16	$2^{2 x - 1} = 16$
186482	Find All Complex Solutions	sin(2x)=2sin(x)	$\sin (2 x) = 2 \sin (x)$
186483	Graph	f(x)=1/4(1/8)^x	$f (x) = \frac{1}{4} {(\frac{1}{8})}^{x}$
186484	Solve for y	x^3+1/ay=xy+a	$x^{3} + \frac{1}{a} y = x y + a$
186485	Solve for x	x+5x-6<12	$x + 5 x - 6 < 12$
186486	Simplify	(2x^3y^5z^6+8x^3y^5-12xy)/(4x^5y^3z)	$\frac{2 x^{3} y^{5} z^{6} + 8 x^{3} y^{5} - 12 x y}{4 x^{5} y^{3} z}$
186487	Solve for x	18x+6+2-2x=15x+12	$18 x + 6 + 2 - 2 x = 15 x + 12$
186488	Simplify	((-2m^2n^3)/(m^2n^4))^3	${(\frac{- 2 m^{2} n^{3}}{m^{2} n^{4}})}^{3}$
186489	Graph	g(x)=3/4f(x)	$g (x) = \frac{3}{4} f (x)$
186490	Evaluate	\|10\|-\|-5\|+\|-3\|	$\| 10 \| - \| - 5 \| + \| - 3 \|$
186491	Find the x and y Intercepts	f(x)=(3x^2-19x+28)/(x^2-36)	$f (x) = \frac{3 x^{2} - 19 x + 28}{x^{2} - 36}$
186492	Simplify	(3/X+6/(X^2))/(4/(X^2)-1)	$\frac{\frac{3}{X} + \frac{6}{X^{2}}}{\frac{4}{X^{2}} - 1}$
186493	Simplify	((ab)^3)/((3a)^2b)	$\frac{{(a b)}^{3}}{{(3 a)}^{2} b}$
186494	Find g(f(x))	f(x)=2x-4 and g(x)=4x^2-2	$f (x) = 2 x - 4$ and $g (x) = 4 x^{2} - 2$
186495	Evaluate	5^2*(9-3)	$5^{2} \cdot (9 - 3)$
186496	Find the Product	(x^3+3)^2	${(x^{3} + 3)}^{2}$
186497	Simplify	fifth root of (m^10)/(n^5)	$\sqrt[5]{\frac{m^{10}}{n^{5}}}$
186498	Graph Using a Table of Values	f(x)=x^3+2	$f (x) = x^{3} + 2$
186499	Evaluate	cos(x)=( square root of 2)/2	$\cos (x) = \frac{\sqrt{2}}{2}$
186500	Graph	H(x) = natural log of x-1	$H (x) = \ln (x - 1)$