Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192401	Solve the Absolute Value Inequality for v	7+\|6v+7\|<=60	$7 + \| 6 v + 7 \| \leq 60$
192402	Solve for x	2/x+1/(8x)=-5/3	$\frac{2}{x} + \frac{1}{8 x} = - \frac{5}{3}$
192403	Simplify	(2a-1)/(2a-3)-(2a^2-5a+4)/(8a^2-22a+15)-(3a-2)/(4a-5)	$\frac{2 a - 1}{2 a - 3} - \frac{2 a^{2} - 5 a + 4}{8 a^{2} - 22 a + 15} - \frac{3 a - 2}{4 a - 5}$
192404	Solve for c	c=5/9(41-32)	$c = \frac{5}{9} (41 - 32)$
192405	Simplify	( square root of a)/( square root of b)	$\frac{\sqrt{a}}{\sqrt{b}}$
192406	Simplify	(10+7r-r^2)+(-6r^2-18+5r) ?	$(10 + 7 r - r^{2}) + (- 6 r^{2} - 18 + 5 r)$ ?
192407	Solve for n	-3(2n+1)+7=-5	$- 3 (2 n + 1) + 7 = - 5$
192408	Solve the Inequality for x	-3+x/-18<-3	$- 3 + \frac{x}{- 18} < - 3$
192409	Simplify the Radical Expression	fourth root of 2401x^12y^16	$\sqrt[4]{2401 x^{12} y^{16}}$
192410	Solve the System of Equations	4x-1/3y=2/3 1/2x-1/5y=-11	$4 x - \frac{1}{3} y = \frac{2}{3}$ $\frac{1}{2} x - \frac{1}{5} y = - 11$
192411	Find f(g(x))	f(x)=x+5 and g(x)=x-5	$f (x) = x + 5$ and $g (x) = x - 5$
192412	Factor	21m^5n^2+6m^3n+15m^2	$21 m^{5} n^{2} + 6 m^{3} n + 15 m^{2}$
192413	Solve for x	-3x^4+2x^3=0	$- 3 x^{4} + 2 x^{3} = 0$
192414	Find the Holes in the Graph	(5x+15)/(x+3)	$\frac{5 x + 15}{x + 3}$
192415	Combine Like Terms	(x^2-8x-6)-(x^2-2x)	$(x^{2} - 8 x - 6) - (x^{2} - 2 x)$
192416	Solve the Inequality for x	5x-(9x+14)<3(x+10)-2	$5 x - (9 x + 14) < 3 (x + 10) - 2$
192417	Graph	a=2 and b=1	$a = 2$ and $b = 1$
192418	Find the x and y Intercepts	f(x)=(x+5)/(3x^2+45x+150)	$f (x) = \frac{x + 5}{3 x^{2} + 45 x + 150}$
192419	Find the Roots (Zeros)	-10=-x^2+3x	$- 10 = - x^{2} + 3 x$
192420	Graph	x^2y-x^2+4y=0	$x^{2} y - x^{2} + 4 y = 0$
192421	Find the Exact Value	natural log of 1/( square root of e)	$\ln (\frac{1}{\sqrt{e}})$
192422	Solve for w	-7w=15-2w	$- 7 w = 15 - 2 w$
192423	Solve Using the Quadratic Formula	4x^2+24x+13=2x^2+6x	$4 x^{2} + 24 x + 13 = 2 x^{2} + 6 x$
192424	Graph	f(x)=(-6x^2-5x+1)/(2x+1)	$f (x) = \frac{- 6 x^{2} - 5 x + 1}{2 x + 1}$
192425	Solve the System of Equations	x-y=6 y=2x-5	$x - y = 6$ $y = 2 x - 5$
192426	Evaluate	2(3/5)^2-1	$2 {(\frac{3}{5})}^{2} - 1$
192427	Solve for x	8/(4x-24)-1=2/(x-6)	$\frac{8}{4 x - 24} - 1 = \frac{2}{x - 6}$
192428	Simplify	(10x-x^2+8)+(5x^2+1-22x)	$(10 x - x^{2} + 8) + (5 x^{2} + 1 - 22 x)$
192429	Graph	-8=-x^2-4	$- 8 = - x^{2} - 4$
192430	Graph	x^2+((y-4)^2)/4=1	$x^{2} + \frac{{(y - 4)}^{2}}{4} = 1$
192431	Simplify	((4m^5n^2)/(m^2n))^3	${(\frac{4 m^{5} n^{2}}{m^{2} n})}^{3}$
192432	Solve for z	3/2(z+5)-1/4(z+24)=0	$\frac{3}{2} (z + 5) - \frac{1}{4} (z + 24) = 0$
192433	Expand the Logarithmic Expression	natural log of (x^3)/( square root of x^2-36)	$\ln (\frac{x^{3}}{\sqrt{x^{2} - 36}})$
192434	Find the Axis of Symmetry	16x^2+72x-112y=-221	$16 x^{2} + 72 x - 112 y = - 221$
192435	Find the Domain and Range	y=4+ square root of -x	$y = 4 + \sqrt{- x}$
192436	Find the Inverse	f^-1(x)=x+3	$f^{- 1} (x) = x + 3$
192437	Graph	y=-(x+2)(x-1)^2	$y = - (x + 2) {(x - 1)}^{2}$
192438	Simplify	3*5^-1	$3 \cdot 5^{- 1}$
192439	Solve by Completing the Square	3x^2=12x	$3 x^{2} = 12 x$
192440	Write in Standard Form	( square root of -76)^2	${(\sqrt{- 76})}^{2}$
192441	Solve for x	5- cube root of x^2-9=7	$5 - \sqrt[3]{x^{2} - 9} = 7$
192442	Solve for q	r^2=h^2+(p^2)/(q^2)	$r^{2} = h^{2} + \frac{p^{2}}{q^{2}}$
192443	Solve for a	(7a+5)/8-2=(3a+15)/10	$\frac{7 a + 5}{8} - 2 = \frac{3 a + 15}{10}$
192444	Factor	2x^4-50x^2=0	$2 x^{4} - 50 x^{2} = 0$
192445	Solve for x	\|2(x-1)\|=11	$\| 2 (x - 1) \| = 11$
192446	Find the Point-Slope Form	(-8,-1) , (-6,5)	$(- 8, - 1)$ , $(- 6, 5)$
192447	Solve the Absolute Value Inequality for x	4\|x-9\|>=16	$4 \| x - 9 \| \geq 16$
192448	Solve for x	1/16x+1/320y-29=0	$\frac{1}{16} x + \frac{1}{320} y - 29 = 0$
192449	Divide	5/( square root of 11- square root of 3)	$\frac{5}{\sqrt{11} - \sqrt{3}}$
192450	Find the Inverse	f(x)=((x-8)/8)^3	$f (x) = {(\frac{x - 8}{8})}^{3}$
192451	Evaluate	39+1036/6	$3 \cdot 9 + 10 \cdot \frac{36}{6}$
192452	Simplify	x(x-y)	$x (x - y)$
192453	Solve for y	x^2+y^2=x+y	$x^{2} + y^{2} = x + y$
192454	Find the Excluded Values	(6x^3y)/(y^2)*(x^2y^4)/(3xy)	$\frac{6 x^{3} y}{y^{2}} \cdot \frac{x^{2} y^{4}}{3 x y}$
192455	Subtract	(7a^2-6b-3c^3-4)-(9a^2+6b-3c^3+4)	$(7 a^{2} - 6 b - 3 c^{3} - 4) - (9 a^{2} + 6 b - 3 c^{3} + 4)$
192456	Graph	f(x)=x^4+x	$f (x) = x^{4} + x$
192457	Simplify	3*3 square root of 3	$3 \cdot 3 \sqrt{3}$
192458	Write as a Single Logarithm	natural log of x^6-2 natural log of square root of x^5	$\ln (x^{6}) - 2 \ln (\sqrt{x^{5}})$
192459	Solve the Absolute Value Inequality for x	3\|x-7\|<=27	$3 \| x - 7 \| \leq 27$
192460	Find the Holes in the Graph	(5x-10)/(x^2-4)	$\frac{5 x - 10}{x^{2} - 4}$
192461	Solve Using the Quadratic Formula	(x+4)^2-2=7	${(x + 4)}^{2} - 2 = 7$
192462	Solve the Inequality for x	x^2>=3	$x^{2} \geq 3$
192463	Evaluate	x^2-5x+6=0	$x^{2} - 5 x + 6 = 0$
192464	Simplify	(2)^2(3)^3	${(2)}^{2} {(3)}^{3}$
192465	Solve for x	5(x-8)+15x=-35	$5 (x - 8) + 15 x = - 35$
192466	Find the x and y Intercepts	f(x)=1/(2x)	$f (x) = \frac{1}{2 x}$
192467	Simplify	2-3/2	$2 - \frac{3}{2}$
192468	Find the Holes in the Graph	(5x^2-25x)/(-4x^2)	$\frac{5 x^{2} - 25 x}{- 4 x^{2}}$
192469	Complete the Square	f(x)=2x^2+3x-2	$f (x) = 2 x^{2} + 3 x - 2$
192470	Find the End Behavior	f(x)=6x^3-9x-x^5	$f (x) = 6 x^{3} - 9 x - x^{5}$
192471	Simplify	(-3x^2y^2+6x^2y-4xy^2+2x)-(2y+3x^2y^2-2xy^2+2x^2y)	$(- 3 x^{2} y^{2} + 6 x^{2} y - 4 x y^{2} + 2 x) - (2 y + 3 x^{2} y^{2} - 2 x y^{2} + 2 x^{2} y)$
192472	Simplify	(x^2-11x+30)/(x^2-4)*(x-2)/(x^2+3x-40)	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \cdot \frac{x - 2}{x^{2} + 3 x - 40}$
192473	Solve for x	x^5+x^3=0	$x^{5} + x^{3} = 0$
192474	Simplify	(4x^18)/((2x^22)^0)	$\frac{4 x^{18}}{{(2 x^{22})}^{0}}$
192475	Solve the Inequality for z	(9z-4)/5<=(7z+2)/4	$\frac{9 z - 4}{5} \leq \frac{7 z + 2}{4}$
192476	Simplify	x^3(-x^2)(2x)^3	$x^{3} (- x^{2}) {(2 x)}^{3}$
192477	Simplify	((2x^2)^(3/2))/(2^(1/2)x^4)	$\frac{{(2 x^{2})}^{\frac{3}{2}}}{2^{\frac{1}{2}} x^{4}}$
192478	Find the End Behavior	f(x)=x^3+x^2-6x	$f (x) = x^{3} + x^{2} - 6 x$
192479	Graph	f(x)=(3x-3)/(x^2-1)	$f (x) = \frac{3 x - 3}{x^{2} - 1}$
192480	Evaluate	1/(4pi(3)^2)*144pi	$\frac{1}{4 π {(3)}^{2}} \cdot 144 π$
192481	Evaluate	pi-(3pi)/2	$π - \frac{3 π}{2}$
192482	Find the Exact Value	( square root of 2)/2*( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
192483	Evaluate	f(x)=((1)^2+(1)-12)/((1)^2-4)	$f (x) = \frac{{(1)}^{2} + (1) - 12}{{(1)}^{2} - 4}$
192484	Solve for m	23=5-2/3m	$23 = 5 - \frac{2}{3} m$
192485	Divide	4x^3+2x^2+3x+4 by x+4	$4 x^{3} + 2 x^{2} + 3 x + 4$ by $x + 4$
192486	Solve for x	1/2(x-1)-(x-3)=1/3(x+3)+1/6	$\frac{1}{2} (x - 1) - (x - 3) = \frac{1}{3} (x + 3) + \frac{1}{6}$
192487	Simplify	(3 square root of b)/( square root of b+2)	$\frac{3 \sqrt{b}}{\sqrt{b} + 2}$
192488	Solve for x	3x-5x+8x+x=42	$3 x - 5 x + 8 x + x = 42$
192489	Solve for x	natural log of x+2-3=2	$\ln (x + 2) - 3 = 2$
192490	Solve for θ	-sin(theta)^2+cos(theta)^2=sin(theta)+1	$- \sin^{2} (θ) + \cos^{2} (θ) = \sin (θ) + 1$
192491	Evaluate the Function	f(x)=1/3*6^x at x=2	$f (x) = \frac{1}{3} \cdot 6^{x}$ at $x = 2$
192492	Find the First Term	a_n=4^n	$a_{n} = 4^{n}$
192493	Write the Fraction in Simplest Form	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
192494	Solve the Rational Equation for x	3x=(5x+6)/(2x+3)	$3 x = \frac{5 x + 6}{2 x + 3}$
192495	Find the Product	(1/2-c)(1/2+c)	$(\frac{1}{2} - c) (\frac{1}{2} + c)$
192496	Solve for x	3(x-4)=-1/2(24-6x)	$3 (x - 4) = - \frac{1}{2} (24 - 6 x)$
192497	Simplify	-x(x^3-4)+3x^4-3x(x-1)	$- x (x^{3} - 4) + 3 x^{4} - 3 x (x - 1)$
192498	Write in Standard Form	y/2+x/8=1	$\frac{y}{2} + \frac{x}{8} = 1$
192499	Solve for x	2x+(1-x)/4=3	$2 x + \frac{1 - x}{4} = 3$
192500	Divide	(4x)÷4	$4 x \div 4$