Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216401	Simplify	4+x+(-10)-11x	$4 + x + (- 10) - 11 x$
216402	Solve the Inequality for x	x^3>0	$x^{3} > 0$
216403	Solve for x	3^x*3^(x+7)=9	$3^{x} \cdot 3^{x + 7} = 9$
216404	Multiply	1/2*-1/2	$\frac{1}{2} \cdot \frac{- 1}{2}$
216405	Solve the Inequality for y	5<2-3y<14	$5 < 2 - 3 y < 14$
216406	Solve for c	-76=-3c^2-7	$- 76 = - 3 c^{2} - 7$
216407	Simplify	(12x^4-4x^3+7x+6)+(3x^2-4x+14)	$(12 x^{4} - 4 x^{3} + 7 x + 6) + (3 x^{2} - 4 x + 14)$
216408	Simplify	((x^(-1/2)yz^(1/3))/(x^2y^(1/3)z^-1))^(1/2)	${(\frac{x^{- \frac{1}{2}} y z^{\frac{1}{3}}}{x^{2} y^{\frac{1}{3}} z^{- 1}})}^{\frac{1}{2}}$
216409	Solve for R	16/13=4/R	$\frac{16}{13} = \frac{4}{R}$
216410	Evaluate	4x=3x+5	$4 x = 3 x + 5$
216411	Evaluate Using Scientific Notation	(1.010^-15)/(4.210^-7)	$\frac{1 \times 10^{- 15}}{4.2 \times 10^{- 7}}$
216412	Solve Using the Quadratic Formula	x^2+nx+25	$x^{2} + n x + 25$
216413	Multiply	7 square root of 2* square root of 5* square root of 10	$7 \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{10}$
216414	Solve by Substitution	y-x=9 10+2x=-2y	$y - x = 9$ $10 + 2 x = - 2 y$
216415	Solve the Inequality for x	3x+y<=3	$3 x + y \leq 3$
216416	Simplify	(-10x^5+12x^2-6x)/(2x^2)	$\frac{- 10 x^{5} + 12 x^{2} - 6 x}{2 x^{2}}$
216417	Solve for a	y=a*2^x	$y = a \cdot 2^{x}$
216418	Solve the Inequality for x	5(2x-1)>=3x+7+x	$5 (2 x - 1) \geq 3 x + 7 + x$
216419	Solve for u	-8/(2u+6)+2=-4/(u+3)	$- \frac{8}{2 u + 6} + 2 = - \frac{4}{u + 3}$
216420	Solve for x	5/2(2-3/4x)-3/2=12x+8/5	$\frac{5}{2} (2 - \frac{3}{4} x) - \frac{3}{2} = 12 x + \frac{8}{5}$
216421	Solve for x	(4^x)^(x+1)=16	${(4^{x})}^{x + 1} = 16$
216422	Solve for x	(2x)/3>4	$\frac{2 x}{3} > 4$
216423	Subtract	(8x-3)/(16x+28)-(x-7)/(4x+7)	$\frac{8 x - 3}{16 x + 28} - \frac{x - 7}{4 x + 7}$
216424	Solve the System of Inequalities	x+3y<-18 5x+2y<=14	$x + 3 y < - 18$ $5 x + 2 y \leq 14$
216425	Simplify	((3xy^3)/(2z))^3	${(\frac{3 x y^{3}}{2 z})}^{3}$
216426	Solve for s	6s-1=3s	$6 s - 1 = 3 s$
216427	Graph	f(x)=(-4x-12)/(2x^2+5x-3)	$f (x) = \frac{- 4 x - 12}{2 x^{2} + 5 x - 3}$
216428	Write in Standard Form	2+1/2x=y	$2 + \frac{1}{2} x = y$
216429	Simplify	(5x+1)/(5x)-(4x+1)/(4x)	$\frac{5 x + 1}{5 x} - \frac{4 x + 1}{4 x}$
216430	Simplify	4x5x^32x^5	$4 x \cdot 5 x^{3} \cdot 2 x^{5}$
216431	Find the Roots (Zeros)	3(x+4)^2=10x+32	$3 {(x + 4)}^{2} = 10 x + 32$
216432	Solve for a	2a^2+ab=0	$2 a^{2} + a b = 0$
216433	Graph Using a Table of Values	f(x)=5*(1/2)^x	$f (x) = 5 \cdot {(\frac{1}{2})}^{x}$
216434	Solve for x	-3 = cube root of 2x+439-12	$- 3 = \sqrt[3]{2 x + 439} - 12$
216435	Solve for n	4(n-26)^(1/4)=12	$4 {(n - 26)}^{\frac{1}{4}} = 12$
216436	Solve the Inequality for x	14<2x+4<=6	$14 < 2 x + 4 \leq 6$
216437	Solve for a	g(a)=3a+1	$g (a) = 3 a + 1$
216438	Simplify	cube root of (a^3)/(-512y)	$\sqrt[3]{\frac{a^{3}}{- 512 y}}$
216439	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-5x^2+3x+1 is divided by x-1	Use synthetic division to find the result when $x^{3} - 5 x^{2} + 3 x + 1$ is divided by $x - 1$
216440	Solve for x	cube root of x^2-2=4	$\sqrt[3]{x^{2} - 2} = 4$
216441	Find the Domain and Range	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
216442	Evaluate	(5-2i^2)^2	${(5 - 2 i^{2})}^{2}$
216443	Solve for x	(h^2)(h^10)=(h^2)^(x^2+5x+6)	$(h^{2}) (h^{10}) = {(h^{2})}^{x^{2} + 5 x + 6}$
216444	Solve for x	y>=x^2-2x-3	$y \geq x^{2} - 2 x - 3$
216445	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^2- square root of 3x+2	$f (x) = 8 x^{2} - \sqrt{3} x + 2$
216446	Find the Product	(a+2b+3c)^2	${(a + 2 b + 3 c)}^{2}$
216447	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-9x^3+5x^2+23x+8 is divided by x-8	Use synthetic division to find the result when $x^{4} - 9 x^{3} + 5 x^{2} + 23 x + 8$ is divided by $x - 8$
216448	Evaluate	(x^(2/3))^2	${(x^{\frac{2}{3}})}^{2}$
216449	Solve the System of Inequalities	y>=x/2-3 y<2x	$y \geq \frac{x}{2} - 3$ $y < 2 x$
216450	Solve the System of Equations	y=-x^2+5x+1 y=2x-3	$y = - x^{2} + 5 x + 1$ $y = 2 x - 3$
216451	Evaluate	60/360(2pi*15)	$\frac{60}{360} (2 π \cdot 15)$
216452	Find the LCM	20 and 5	$20$ and $5$
216453	Describe the Transformation	y=3 square root of x+5+2	$y = 3 \sqrt{x + 5} + 2$
216454	Factor	y=x^4-9x^2	$y = x^{4} - 9 x^{2}$
216455	Simplify	4^x+4^x	$4^{x} + 4^{x}$
216456	Simplify	square root of square root of square root of 625	$\sqrt{\sqrt{\sqrt{625}}}$
216457	Simplify	-1/2x^4+5-1/3x^4-2	$- \frac{1}{2} x^{4} + 5 - \frac{1}{3} x^{4} - 2$
216458	Solve the Inequality for x	(3x+1)/(x-7)<=0	$\frac{3 x + 1}{x - 7} \leq 0$
216459	Graph	f(x) = square root of -(x+3)+1	$f (x) = \sqrt{- (x + 3)} + 1$
216460	Solve the Rational Equation for x	(2x)/(x-3)=(3x)/(x-2)	$\frac{2 x}{x - 3} = \frac{3 x}{x - 2}$
216461	Divide	(2i)/(1-i)	$\frac{2 i}{1 - i}$
216462	Solve the System of Equations	-3x+7y=-18 and 4x-4y=8	$- 3 x + 7 y = - 18$ and $4 x - 4 y = 8$
216463	Find the Distance Between Two Points	(6,2) and (4,-2)	$(6, 2)$ and $(4, - 2)$
216464	Solve for v	v/2.2-0.1=7.4	$\frac{v}{2.2} - 0.1 = 7.4$
216465	Solve for x	(x-3)^2+(x+1)^2=(x-2)^2+(x+3)^2	${(x - 3)}^{2} + {(x + 1)}^{2} = {(x - 2)}^{2} + {(x + 3)}^{2}$
216466	Simplify the Radical Expression	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
216467	Simplify	4x+8-6x+4(x-3)	$4 x + 8 - 6 x + 4 (x - 3)$
216468	Divide	(2.1810^10)÷1.0910^12	$2.18 \cdot 10^{10} \div 1.09 \cdot 10^{12}$
216469	Simplify	3x^3y^52x^5-3xy^4	$3 x^{3} y^{5} \cdot 2 x^{5} \cdot - 3 x y^{4}$
216470	Graph	y<=x-3 y>=x+1	$y \leq x - 3$ $y \geq x + 1$
216471	Evaluate	e^0+e^(-0)	$e^{0} + e^{- 0}$
216472	Solve the Inequality for x	\|x\|-2>0	$\| x \| - 2 > 0$
216473	Evaluate	4.51/4+2.51/4+7*1/4	$4.5 \cdot \frac{1}{4} + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{4}$
216474	Evaluate	(144k^2r^14)^(1/2)	${(144 k^{2} r^{14})}^{\frac{1}{2}}$
216475	Graph	y=-(x^2+2)	$y = - (x^{2} + 2)$
216476	Simplify	csc(theta)tan(theta)cos(theta)	$\csc (θ) \tan (θ) \cos (θ)$
216477	Simplify	(2x+1)/(8x^4)-3/(2x^3)	$\frac{2 x + 1}{8 x^{4}} - \frac{3}{2 x^{3}}$
216478	Factor	90x^4+384x^3+432x^2-96	$90 x^{4} + 384 x^{3} + 432 x^{2} - 96$
216479	Factor by Grouping	3x^4+2x^2-8	$3 x^{4} + 2 x^{2} - 8$
216480	Simplify	(3b)/2-(4a)/(6a^2b)	$\frac{3 b}{2} - \frac{4 a}{6 a^{2} b}$
216481	Simplify the Radical Expression	( square root of 24)( square root of 6)	$(\sqrt{24}) (\sqrt{6})$
216482	Find the GCF	a^7b^2-ab^2	$a^{7} b^{2} - a b^{2}$
216483	Find the x and y Intercepts	f(x)=(-x^3+2x^2+4)/(x-8)	$f (x) = \frac{- x^{3} + 2 x^{2} + 4}{x - 8}$
216484	Factor	4x(x-3y)-2(x-3y)	$4 x (x - 3 y) - 2 (x - 3 y)$
216485	Simplify the Radical Expression	9 square root of 8y	$9 \sqrt{8 y}$
216486	Graph	x>0 or x<-4	$x > 0$ or $x < - 4$
216487	Simplify	(9x^-5y^-2)/y	$\frac{9 x^{- 5} y^{- 2}}{y}$
216488	Evaluate	(2pi)÷(2/3)	$2 π \div \frac{2}{3}$
216489	Simplify	(x^2-3x)/3*(6x^2)/(x-3)	$\frac{x^{2} - 3 x}{3} \cdot \frac{6 x^{2}}{x - 3}$
216490	Convert to Interval Notation	x<7 or x<8	$x < 7$ or $x < 8$
216491	Simplify	( square root of 2+3)/(3 square root of 2+3)	$\frac{\sqrt{2} + 3}{3 \sqrt{2} + 3}$
216492	Simplify	x/3-x/5	$\frac{x}{3} - \frac{x}{5}$
216493	Write in Standard Form	(x-3)^2(x+3)	${(x - 3)}^{2} (x + 3)$
216494	Simplify the Radical Expression	sixth root of 64(2y+1)^18	$\sqrt[6]{64 {(2 y + 1)}^{18}}$
216495	Solve the System of Equations	12y-21x=-5 y=7/4x+10	$12 y - 21 x = - 5$ $y = \frac{7}{4} x + 10$
216496	Solve for r	2 square root of r = square root of 3r+9	$2 \sqrt{r} = \sqrt{3 r + 9}$
216497	Solve the Inequality for y	-4>y+2>-10	$- 4 > y + 2 > - 10$
216498	Solve by Completing the Square	y=x^2+6x+11	$y = x^{2} + 6 x + 11$
216499	Simplify	6/(3- square root of 5)	$\frac{6}{3 - \sqrt{5}}$
216500	Solve the Inequality for x	x^2+15x<=6x-18	$x^{2} + 15 x \leq 6 x - 18$