Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182401	Simplify	2( cube root of 12-5x)^3+8	$2 {(\sqrt[3]{12 - 5 x})}^{3} + 8$
182402	Evaluate	20% of 30	$20 %$ of $30$
182403	Solve for x	\|3x-5\|=\|2x+20\|	$\| 3 x - 5 \| = \| 2 x + 20 \|$
182404	Solve for n	3n+16=7n	$3 n + 16 = 7 n$
182405	Solve for x	4-2x>7-3x	$4 - 2 x > 7 - 3 x$
182406	Find g(f(x))	f(x)=x^2-x+14 g(x)=-5x-8	$f (x) = x^{2} - x + 14$ $g (x) = - 5 x - 8$
182407	Solve the Inequality for x	2x>-10	$2 x > - 10$
182408	Solve the Rational Equation for x	(2x)/(x-1)-(2x-5)/(x^2-3x+2)=-3/(x-2)	$\frac{2 x}{x - 1} - \frac{2 x - 5}{x^{2} - 3 x + 2} = \frac{- 3}{x - 2}$
182409	Solve for x	2/3=(x-1)/5	$\frac{2}{3} = \frac{x - 1}{5}$
182410	Simplify	(43-1)/(4+2)+10	$\frac{43 - 1}{4 + 2} + 10$
182411	Find p(q(x))	p(x)=x^2+6 q(x) = square root of x+1	$p (x) = x^{2} + 6$ $q (x) = \sqrt{x + 1}$
182412	Solve for x	y = cube root of x+2	$y = \sqrt[3]{x + 2}$
182413	Simplify the Radical Expression	cube root of x^15	$\sqrt[3]{x^{15}}$
182414	Solve for k	k-3k=6k+5-8k	$k - 3 k = 6 k + 5 - 8 k$
182415	Simplify	x^2(4x^(-1/2))^2	$x^{2} {(4 x^{- \frac{1}{2}})}^{2}$
182416	Solve for x	(5x+5)^2+3=39	${(5 x + 5)}^{2} + 3 = 39$
182417	Find the Function	f(x)=2x^2-3x+4	$f (x) = 2 x^{2} - 3 x + 4$
182418	Solve the Inequality for x	18x+15<=3(5x-3)	$18 x + 15 \leq 3 (5 x - 3)$
182419	Solve for a	(x^(5/3))^4=x^a	${(x^{\frac{5}{3}})}^{4} = x^{a}$
182420	Simplify	5 square root of 2*4 square root of 10	$5 \sqrt{2} \cdot 4 \sqrt{10}$
182421	Simplify	3/(x^2-1)+1	$\frac{3}{x^{2} - 1} + 1$
182422	Factor	x^2(x+2)-x(x+2)	$x^{2} (x + 2) - x (x + 2)$
182423	Simplify	(9x^2-900)/(6x^3+24x^2-360x)*(x^2+3x-54)/(x-10)	$\frac{9 x^{2} - 900}{6 x^{3} + 24 x^{2} - 360 x} \cdot \frac{x^{2} + 3 x - 54}{x - 10}$
182424	Solve for H	A=LWH for H	$A = L W H$ for $H$
182425	Evaluate	( square root of 2)/( square root of 72+ square root of 50- square root of 8)	$\frac{\sqrt{2}}{\sqrt{72} + \sqrt{50} - \sqrt{8}}$
182426	Evaluate	-f-5(2f-3)	$- f - 5 (2 f - 3)$
182427	Solve by Substitution	y=x-7 y=x^2+2x-4	$y = x - 7$ $y = x^{2} + 2 x - 4$
182428	Evaluate	2sin(x)-1=0	$2 \sin (x) - 1 = 0$
182429	Solve the Inequality for k	6>=6k	$6 \geq 6 k$
182430	Find the Domain and Range	f(x)=(x^2+16)/(2x^2-32)	$f (x) = \frac{x^{2} + 16}{2 x^{2} - 32}$
182431	Solve for x	x=(8+- square root of 64-64)/2	$x = \frac{8 + - \sqrt{64 - 64}}{2}$
182432	Solve for x	2100=890(1.1)^(x/7+5)	$2100 = 890 {(1.1)}^{\frac{x}{7} + 5}$
182433	Multiply	(6 square root of 22a^2)(4 square root of 2a^6)	$(6 \sqrt{22 a^{2}}) (4 \sqrt{2 a^{6}})$
182434	Write in Standard Form	4x^2+9y^2-16x+18y+25=0	$4 x^{2} + 9 y^{2} - 16 x + 18 y + 25 = 0$
182435	Solve Using the Quadratic Formula	2x-4	$2 x - 4$
182436	Solve for a	5(a-1)-15=3(a+2)+4	$5 (a - 1) - 15 = 3 (a + 2) + 4$
182437	Factor	1/64m^3+1000	$\frac{1}{64} m^{3} + 1000$
182438	Evaluate	tan(x)^2-sec(x)^2	$\tan^{2} (x) - \sec^{2} (x)$
182439	Write in Slope-Intercept Form	y=3	$y = 3$
182440	Solve for x	(x^2)/(x^2+9x+18)+x/(x+3)=4/(x+6)	$\frac{x^{2}}{x^{2} + 9 x + 18} + \frac{x}{x + 3} = \frac{4}{x + 6}$
182441	Solve the System of Equations	y=3x-5 6x-2y=10	$y = 3 x - 5$ $6 x - 2 y = 10$
182442	Write in Standard Form	square root of -5 square root of -10	$\sqrt{- 5} \sqrt{- 10}$
182443	Graph	[-1,3)	$[- 1, 3)$
182444	Graph Using a Table of Values	y=2-x^2	$y = 2 - x^{2}$
182445	Simplify	1/3(6+3i)-2/3(6-12i)	$\frac{1}{3} (6 + 3 i) - \frac{2}{3} (6 - 12 i)$
182446	Subtract	(11x^4-9x^2+3x+11)-(2x^4+6x^3+2x-9)	$(11 x^{4} - 9 x^{2} + 3 x + 11) - (2 x^{4} + 6 x^{3} + 2 x - 9)$
182447	Simplify	2(i^2)^2	$2 {(i^{2})}^{2}$
182448	Solve for x	3/(x-4)=1/(x-1)+7/((x-1)(x-4))	$\frac{3}{x - 4} = \frac{1}{x - 1} + \frac{7}{(x - 1) (x - 4)}$
182449	Solve for x	15.3+1x=1.3-1x	$15.3 + 1 x = 1.3 - 1 x$
182450	Subtract	1/6-1/6	$\frac{1}{6} - \frac{1}{6}$
182451	Simplify	-2/5+4/3	$- \frac{2}{5} + \frac{4}{3}$
182452	Solve the Inequality for x	x^4>81x^2	$x^{4} > 81 x^{2}$
182453	Solve for x	3(4)^x=96	$3 {(4)}^{x} = 96$
182454	Simplify	((9x^(-2/3)y^(-1/3))/(xy^-3))^-3	${(\frac{9 x^{- \frac{2}{3}} y^{- \frac{1}{3}}}{x y^{- 3}})}^{- 3}$
182455	Subtract	(9x^2-7x)-(-4x^2+6)	$(9 x^{2} - 7 x) - (- 4 x^{2} + 6)$
182456	Find the Domain and Range	(x)=(1/2)^x	$(x) = {(\frac{1}{2})}^{x}$
182457	Write in Standard Form	f(x)=-x^2-4x+1	$f (x) = - x^{2} - 4 x + 1$
182458	Find the Roots (Zeros)	2x^2-8x+12=-3x	$2 x^{2} - 8 x + 12 = - 3 x$
182459	Solve for x	2-1/(x(x+1))=3/(x+1)	$2 - \frac{1}{x (x + 1)} = \frac{3}{x + 1}$
182460	Simplify	(25/x-x)/((x-8)/15+1/x)	$\frac{\frac{25}{x} - x}{\frac{x - 8}{15} + \frac{1}{x}}$
182461	Solve Using the Quadratic Formula	(x+3)^2=0	${(x + 3)}^{2} = 0$
182462	Evaluate	(2pi)/3-pi/3	$\frac{2 π}{3} - \frac{π}{3}$
182463	Graph	graph y=x+4	graph $y = x + 4$
182464	Simplify	(2x^2-18)/(x^4+2x^3-3x^2)*(x^2-11x+10)/(x^2-13x+30)	$\frac{2 x^{2} - 18}{x^{4} + 2 x^{3} - 3 x^{2}} \cdot \frac{x^{2} - 11 x + 10}{x^{2} - 13 x + 30}$
182465	Solve for a	-19=-8(-4+a)-(2a+1)	$- 19 = - 8 (- 4 + a) - (2 a + 1)$
182466	Solve for y	(dy)/(dx)-1=2x-1/2	$\frac{d y}{d x} - 1 = 2 x - \frac{1}{2}$
182467	Solve for t	g(t)=-9t-4	$g (t) = - 9 t - 4$
182468	Solve the System of Equations	y=2x-10 y=4x-8	$y = 2 x - 10$ $y = 4 x - 8$
182469	Factor	9n+m^3-m^2n-9m	$9 n + m^{3} - m^{2} n - 9 m$
182470	Solve for x	x^2+(-4/5)^2=1	$x^{2} + {(- \frac{4}{5})}^{2} = 1$
182471	Evaluate	(1/2)^2+(( square root of 3)/2)^2	${(\frac{1}{2})}^{2} + {(\frac{\sqrt{3}}{2})}^{2}$
182472	Solve for x	-(3x+8-(-15+6x-(-3x+2)-(5x+4))-29)=-5	$- (3 x + 8 - (- 15 + 6 x - (- 3 x + 2) - (5 x + 4)) - 29) = - 5$
182473	Evaluate	(x^2-6)^2-6	${(x^{2} - 6)}^{2} - 6$
182474	Divide Using Long Polynomial Division	(x^4+5x^3+6x^2-x-2)÷(x+2)	$(x^{4} + 5 x^{3} + 6 x^{2} - x - 2) \div (x + 2)$
182475	Find All Complex Solutions	3tan(x)- square root of 3=0	$3 \tan (x) - \sqrt{3} = 0$
182476	Solve the Inequality for y	5y^2-5y(y+4)>=100	$5 y^{2} - 5 y (y + 4) \geq 100$
182477	Solve the Rational Equation for x	square root of 2x+1+7=x	$\sqrt{2 x + 1} + 7 = x$
182478	Solve for a	(x^3)^(1/2) square root of x=x^a	${(x^{3})}^{\frac{1}{2}} \sqrt{x} = x^{a}$
182479	Solve for x	x-10=-4x	$x - 10 = - 4 x$
182480	Graph	y=-(1/3x)^3+3	$y = - {(\frac{1}{3} x)}^{3} + 3$
182481	Graph	f(x)=(\|x\|+2)/2 ; if 0<=x<6	$f (x) = \frac{\| x \| + 2}{2}$ ; if $0 \leq x < 6$
182482	Find the Parabola with Focus (0,-4) and Directrix y=4	(0,-4) y=4	$(0, - 4)$ $y = 4$
182483	Solve for x	3 natural log of 4=2 natural log of x	$3 \ln (4) = 2 \ln (x)$
182484	Find All Complex Solutions	x^4-4x^2+3=0	$x^{4} - 4 x^{2} + 3 = 0$
182485	Solve the Inequality for x	(x-4)(x+2)>=0	$(x - 4) (x + 2) \geq 0$
182486	Simplify	20+10q+3q-4	$20 + 10 q + 3 q - 4$
182487	Simplify	(x+3)/(x-6)+1/(x-2)	$\frac{x + 3}{x - 6} + \frac{1}{x - 2}$
182488	Solve for k	8(k+3)=12k-4	$8 (k + 3) = 12 k - 4$
182489	Solve the Inequality for x	x-1<-4	$x - 1 < - 4$
182490	Solve the System of Inequalities	10<x+2 or x+2<14	$10 < x + 2$ or $x + 2 < 14$
182491	Simplify	(ab^2)/(ac)+(c^2b)/(ab)	$\frac{a b^{2}}{a c} + \frac{c^{2} b}{a b}$
182492	Graph	2x^2-12x+28y=38	$2 x^{2} - 12 x + 28 y = 38$
182493	Find the x and y Intercepts	r(x)=(3x+12)/(-12x+4)	$r (x) = \frac{3 x + 12}{- 12 x + 4}$
182494	Find the Exact Value	(-1/3)^2	${(- \frac{1}{3})}^{2}$
182495	Find the Product	(-2x^2)^3*3x	${(- 2 x^{2})}^{3} \cdot 3 x$
182496	Simplify	(4x+a)/(x^2-9a^2)-6/(x-3a)	$\frac{4 x + a}{x^{2} - 9 a^{2}} - \frac{6}{x - 3 a}$
182497	Find the Function	f(x)=(x-3)^2	$f (x) = {(x - 3)}^{2}$
182498	Evaluate	square root of 1+16+64	$\sqrt{1 + 16 + 64}$
182499	Solve for x	1^2+x^2=4^2	$1^{2} + x^{2} = 4^{2}$
182500	Simplify	((x-x^2)/(x^3-1))÷(x/(x^2+x+1))	$\frac{x - x^{2}}{x^{3} - 1} \div \frac{x}{x^{2} + x + 1}$