Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192401	Divide	(-x)/-1	$\frac{- x}{- 1}$
192402	Solve for a	x fifth root of x^6=x^a	$x \sqrt[5]{x^{6}} = x^{a}$
192403	Simplify	(2y)/(4x)	$\frac{2 y}{4 x}$
192404	Solve for R₂	1/R=1/R_1+1/R_2+1/R_3	$\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}}$
192405	Find All Complex Solutions	-2sin(x)^2=-3sin(x)+1	$- 2 \sin^{2} (x) = - 3 \sin (x) + 1$
192406	Simplify	(x^2+x-2)/(x^3-x^2-x+1)	$\frac{x^{2} + x - 2}{x^{3} - x^{2} - x + 1}$
192407	Write as a Function of x	25x^4-625y-500=0	$25 x^{4} - 625 y - 500 = 0$
192408	Solve for θ	(cot(theta)-1)(csc(theta)+1)=0	$(\cot (θ) - 1) (\csc (θ) + 1) = 0$
192409	Solve for x	-4(-x+5/2)=5(2x-2)+1/2	$- 4 (- x + \frac{5}{2}) = 5 (2 x - 2) + \frac{1}{2}$
192410	Write in Standard Form	f(x)=(x-3i)(x+3i)	$f (x) = (x - 3 i) (x + 3 i)$
192411	Solve the Inequality for b	12/25-(3b)/10<1/2-b/5	$\frac{12}{25} - \frac{3 b}{10} < \frac{1}{2} - \frac{b}{5}$
192412	Find the LCM	9x^2+24x+16 and 9x^2-16	$9 x^{2} + 24 x + 16$ and $9 x^{2} - 16$
192413	Solve for x	(1/4096)^(-5x+3)=4096^(-5x+15)	${(\frac{1}{4096})}^{- 5 x + 3} = 4096^{- 5 x + 15}$
192414	Solve for p	1=prt	$1 = p r t$
192415	Solve for X	19=-9X-5+6X	$19 = - 9 X - 5 + 6 X$
192416	Solve the Absolute Value Inequality for v	7+\|6v+7\|<=60	$7 + \| 6 v + 7 \| \leq 60$
192417	Solve for x	2/x+1/(8x)=-5/3	$\frac{2}{x} + \frac{1}{8 x} = - \frac{5}{3}$
192418	Simplify	(2a-1)/(2a-3)-(2a^2-5a+4)/(8a^2-22a+15)-(3a-2)/(4a-5)	$\frac{2 a - 1}{2 a - 3} - \frac{2 a^{2} - 5 a + 4}{8 a^{2} - 22 a + 15} - \frac{3 a - 2}{4 a - 5}$
192419	Solve for c	c=5/9(41-32)	$c = \frac{5}{9} (41 - 32)$
192420	Simplify	( square root of a)/( square root of b)	$\frac{\sqrt{a}}{\sqrt{b}}$
192421	Simplify	(10+7r-r^2)+(-6r^2-18+5r) ?	$(10 + 7 r - r^{2}) + (- 6 r^{2} - 18 + 5 r)$ ?
192422	Solve for n	-3(2n+1)+7=-5	$- 3 (2 n + 1) + 7 = - 5$
192423	Solve the Inequality for x	-3+x/-18<-3	$- 3 + \frac{x}{- 18} < - 3$
192424	Simplify the Radical Expression	fourth root of 2401x^12y^16	$\sqrt[4]{2401 x^{12} y^{16}}$
192425	Solve the System of Equations	4x-1/3y=2/3 1/2x-1/5y=-11	$4 x - \frac{1}{3} y = \frac{2}{3}$ $\frac{1}{2} x - \frac{1}{5} y = - 11$
192426	Find f(g(x))	f(x)=x+5 and g(x)=x-5	$f (x) = x + 5$ and $g (x) = x - 5$
192427	Factor	21m^5n^2+6m^3n+15m^2	$21 m^{5} n^{2} + 6 m^{3} n + 15 m^{2}$
192428	Solve for x	-3x^4+2x^3=0	$- 3 x^{4} + 2 x^{3} = 0$
192429	Find the Holes in the Graph	(5x+15)/(x+3)	$\frac{5 x + 15}{x + 3}$
192430	Combine Like Terms	(x^2-8x-6)-(x^2-2x)	$(x^{2} - 8 x - 6) - (x^{2} - 2 x)$
192431	Solve the Inequality for x	5x-(9x+14)<3(x+10)-2	$5 x - (9 x + 14) < 3 (x + 10) - 2$
192432	Graph	a=2 and b=1	$a = 2$ and $b = 1$
192433	Find the x and y Intercepts	f(x)=(x+5)/(3x^2+45x+150)	$f (x) = \frac{x + 5}{3 x^{2} + 45 x + 150}$
192434	Find the Roots (Zeros)	-10=-x^2+3x	$- 10 = - x^{2} + 3 x$
192435	Graph	x^2y-x^2+4y=0	$x^{2} y - x^{2} + 4 y = 0$
192436	Find the Exact Value	natural log of 1/( square root of e)	$\ln (\frac{1}{\sqrt{e}})$
192437	Solve for w	-7w=15-2w	$- 7 w = 15 - 2 w$
192438	Solve Using the Quadratic Formula	4x^2+24x+13=2x^2+6x	$4 x^{2} + 24 x + 13 = 2 x^{2} + 6 x$
192439	Graph	f(x)=(-6x^2-5x+1)/(2x+1)	$f (x) = \frac{- 6 x^{2} - 5 x + 1}{2 x + 1}$
192440	Solve the System of Equations	x-y=6 y=2x-5	$x - y = 6$ $y = 2 x - 5$
192441	Evaluate	2(3/5)^2-1	$2 {(\frac{3}{5})}^{2} - 1$
192442	Solve for x	8/(4x-24)-1=2/(x-6)	$\frac{8}{4 x - 24} - 1 = \frac{2}{x - 6}$
192443	Simplify	(10x-x^2+8)+(5x^2+1-22x)	$(10 x - x^{2} + 8) + (5 x^{2} + 1 - 22 x)$
192444	Graph	-8=-x^2-4	$- 8 = - x^{2} - 4$
192445	Graph	x^2+((y-4)^2)/4=1	$x^{2} + \frac{{(y - 4)}^{2}}{4} = 1$
192446	Simplify	((4m^5n^2)/(m^2n))^3	${(\frac{4 m^{5} n^{2}}{m^{2} n})}^{3}$
192447	Solve for z	3/2(z+5)-1/4(z+24)=0	$\frac{3}{2} (z + 5) - \frac{1}{4} (z + 24) = 0$
192448	Expand the Logarithmic Expression	natural log of (x^3)/( square root of x^2-36)	$\ln (\frac{x^{3}}{\sqrt{x^{2} - 36}})$
192449	Find the Axis of Symmetry	16x^2+72x-112y=-221	$16 x^{2} + 72 x - 112 y = - 221$
192450	Find the Domain and Range	y=4+ square root of -x	$y = 4 + \sqrt{- x}$
192451	Find the Inverse	f^-1(x)=x+3	$f^{- 1} (x) = x + 3$
192452	Graph	y=-(x+2)(x-1)^2	$y = - (x + 2) {(x - 1)}^{2}$
192453	Simplify	3*5^-1	$3 \cdot 5^{- 1}$
192454	Solve by Completing the Square	3x^2=12x	$3 x^{2} = 12 x$
192455	Write in Standard Form	( square root of -76)^2	${(\sqrt{- 76})}^{2}$
192456	Solve for x	5- cube root of x^2-9=7	$5 - \sqrt[3]{x^{2} - 9} = 7$
192457	Solve for q	r^2=h^2+(p^2)/(q^2)	$r^{2} = h^{2} + \frac{p^{2}}{q^{2}}$
192458	Solve for a	(7a+5)/8-2=(3a+15)/10	$\frac{7 a + 5}{8} - 2 = \frac{3 a + 15}{10}$
192459	Factor	2x^4-50x^2=0	$2 x^{4} - 50 x^{2} = 0$
192460	Solve for x	\|2(x-1)\|=11	$\| 2 (x - 1) \| = 11$
192461	Find the Point-Slope Form	(-8,-1) , (-6,5)	$(- 8, - 1)$ , $(- 6, 5)$
192462	Solve the Absolute Value Inequality for x	4\|x-9\|>=16	$4 \| x - 9 \| \geq 16$
192463	Solve for x	1/16x+1/320y-29=0	$\frac{1}{16} x + \frac{1}{320} y - 29 = 0$
192464	Divide	5/( square root of 11- square root of 3)	$\frac{5}{\sqrt{11} - \sqrt{3}}$
192465	Find the Inverse	f(x)=((x-8)/8)^3	$f (x) = {(\frac{x - 8}{8})}^{3}$
192466	Evaluate	39+1036/6	$3 \cdot 9 + 10 \cdot \frac{36}{6}$
192467	Simplify	x(x-y)	$x (x - y)$
192468	Solve for y	x^2+y^2=x+y	$x^{2} + y^{2} = x + y$
192469	Find the Excluded Values	(6x^3y)/(y^2)*(x^2y^4)/(3xy)	$\frac{6 x^{3} y}{y^{2}} \cdot \frac{x^{2} y^{4}}{3 x y}$
192470	Subtract	(7a^2-6b-3c^3-4)-(9a^2+6b-3c^3+4)	$(7 a^{2} - 6 b - 3 c^{3} - 4) - (9 a^{2} + 6 b - 3 c^{3} + 4)$
192471	Graph	f(x)=x^4+x	$f (x) = x^{4} + x$
192472	Simplify	3*3 square root of 3	$3 \cdot 3 \sqrt{3}$
192473	Write as a Single Logarithm	natural log of x^6-2 natural log of square root of x^5	$\ln (x^{6}) - 2 \ln (\sqrt{x^{5}})$
192474	Solve the Absolute Value Inequality for x	3\|x-7\|<=27	$3 \| x - 7 \| \leq 27$
192475	Find the Holes in the Graph	(5x-10)/(x^2-4)	$\frac{5 x - 10}{x^{2} - 4}$
192476	Solve Using the Quadratic Formula	(x+4)^2-2=7	${(x + 4)}^{2} - 2 = 7$
192477	Solve the Inequality for x	x^2>=3	$x^{2} \geq 3$
192478	Evaluate	x^2-5x+6=0	$x^{2} - 5 x + 6 = 0$
192479	Simplify	(2)^2(3)^3	${(2)}^{2} {(3)}^{3}$
192480	Solve for x	5(x-8)+15x=-35	$5 (x - 8) + 15 x = - 35$
192481	Find the x and y Intercepts	f(x)=1/(2x)	$f (x) = \frac{1}{2 x}$
192482	Simplify	2-3/2	$2 - \frac{3}{2}$
192483	Find the Holes in the Graph	(5x^2-25x)/(-4x^2)	$\frac{5 x^{2} - 25 x}{- 4 x^{2}}$
192484	Complete the Square	f(x)=2x^2+3x-2	$f (x) = 2 x^{2} + 3 x - 2$
192485	Find the End Behavior	f(x)=6x^3-9x-x^5	$f (x) = 6 x^{3} - 9 x - x^{5}$
192486	Simplify	(-3x^2y^2+6x^2y-4xy^2+2x)-(2y+3x^2y^2-2xy^2+2x^2y)	$(- 3 x^{2} y^{2} + 6 x^{2} y - 4 x y^{2} + 2 x) - (2 y + 3 x^{2} y^{2} - 2 x y^{2} + 2 x^{2} y)$
192487	Simplify	(x^2-11x+30)/(x^2-4)*(x-2)/(x^2+3x-40)	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \cdot \frac{x - 2}{x^{2} + 3 x - 40}$
192488	Solve for x	x^5+x^3=0	$x^{5} + x^{3} = 0$
192489	Simplify	(4x^18)/((2x^22)^0)	$\frac{4 x^{18}}{{(2 x^{22})}^{0}}$
192490	Solve the Inequality for z	(9z-4)/5<=(7z+2)/4	$\frac{9 z - 4}{5} \leq \frac{7 z + 2}{4}$
192491	Simplify	x^3(-x^2)(2x)^3	$x^{3} (- x^{2}) {(2 x)}^{3}$
192492	Simplify	((2x^2)^(3/2))/(2^(1/2)x^4)	$\frac{{(2 x^{2})}^{\frac{3}{2}}}{2^{\frac{1}{2}} x^{4}}$
192493	Find the End Behavior	f(x)=x^3+x^2-6x	$f (x) = x^{3} + x^{2} - 6 x$
192494	Graph	f(x)=(3x-3)/(x^2-1)	$f (x) = \frac{3 x - 3}{x^{2} - 1}$
192495	Evaluate	1/(4pi(3)^2)*144pi	$\frac{1}{4 π {(3)}^{2}} \cdot 144 π$
192496	Evaluate	pi-(3pi)/2	$π - \frac{3 π}{2}$
192497	Find the Exact Value	( square root of 2)/2*( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
192498	Evaluate	f(x)=((1)^2+(1)-12)/((1)^2-4)	$f (x) = \frac{{(1)}^{2} + (1) - 12}{{(1)}^{2} - 4}$
192499	Solve for m	23=5-2/3m	$23 = 5 - \frac{2}{3} m$
192500	Divide	4x^3+2x^2+3x+4 by x+4	$4 x^{3} + 2 x^{2} + 3 x + 4$ by $x + 4$