Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
26401	Solve for n	t = square root of (n+3)/n	$t = \sqrt{\frac{n + 3}{n}}$
26402	Solve for x	x+y=9.0 0.50x+0.20y=3.15	$x + y = 9$ $0.5 x + 0.2 y = 3.15$
26403	Solve for n	3n=29	$3 \times n = 2 \times 9$
26404	Find All Complex Solutions	8+2x-1=x-2-5x	$8 + 2 x - 1 = x - 2 - 5 x$
26405	Simplify	(1+1/x-2/(x^2))/(1+2/x-3/(x^2))	$\frac{1 + \frac{1}{x} - \frac{2}{x^{2}}}{1 + \frac{2}{x} - \frac{3}{x^{2}}}$
26406	Evaluate the Limit	limit as x approaches 0 of square root of -2x^3-5x^2+2x+2	$lim_{x \to 0} \sqrt{- 2 x^{3} - 5 x^{2} + 2 x + 2}$
26407	Evaluate	arctan((- square root of 3)/3)	$\arctan (\frac{- \sqrt{3}}{3})$
26408	Solve for m	m/6-5=1/2m	$\frac{m}{6} - 5 = \frac{1}{2} m$
26409	Simplify	-2(xy^2)(3x^5y^4)	$- 2 (x y^{2}) (3 x^{5} y^{4})$
26410	Simplify	(x/9)÷(8/(7x^2))	$\frac{x}{9} \div \frac{8}{7 x^{2}}$
26411	Solve for x	19 square root of 22-21x=380	$19 \sqrt{22 - 21 x} = 380$
26412	Solve for x	2^(x-1)+2^(x-2)+2^(x-3)+2^(x-4)=960	$2^{x - 1} + 2^{x - 2} + 2^{x - 3} + 2^{x - 4} = 960$
26413	Find the Possible Factors	factors of 54	factors of $54$
26414	Find the Derivative - d/dx	sin(pi/2x)	$\sin (\frac{π}{2} x)$
26415	Find the Antiderivative	(e^x)/(e^x+3)	$\frac{e^{x}}{e^{x} + 3}$
26416	Simplify	(m^2n)^2(2mn^5)^4	${(m^{2} n)}^{2} {(2 m n^{5})}^{4}$
26417	Find Where Increasing/Decreasing	xe^(-x)	$x e^{- x}$
26418	Graph	y=4x y=-4x+8	$y = 4 x$ $y = - 4 x + 8$
26419	Solve for z	5^8*5^z=1	$5^{8} \cdot 5^{z} = 1$
26420	Identify the Sequence	5 , 3 , 1 , -1 ; dots	$5$ , $3$ , $1$ , $- 1$ ; dots
26421	Solve for h	g(x)=1/(x-h)	$g (x) = \frac{1}{x - h}$
26422	Simplify the Radical Expression	7*5 square root of 192	$7 \cdot 5 \sqrt{192}$
26423	Solve the Absolute Value Inequality for x	\|2x-4\|=\|x+1\|	$\| 2 x - 4 \| = \| x + 1 \|$
26424	Solve for r	6 log base 2 of r-2=18	$6 \log_{2} (r - 2) = 18$
26425	Solve the Inequality for a	21>15+2a	$21 > 15 + 2 a$
26426	Solve the System of Equations	-x+4y-4=0 x-4y=-4	$- x + 4 y - 4 = 0$ $x - 4 y = - 4$
26427	Find the x and y Intercepts	f(x)=-2*4^(x-2)	$f (x) = - 2 \cdot 4^{x - 2}$
26428	Find the Derivative - d/dx	1/(2(x+1)^(1/2))	$\frac{1}{2 {(x + 1)}^{\frac{1}{2}}}$
26429	Find the Inverse	x^(1/5)+7	$x^{\frac{1}{5}} + 7$
26430	Evaluate	2(4x-5)+(6x-4)	$2 (4 x - 5) + (6 x - 4)$
26431	Solve for y	2(d^2)/(dx^2)y-7d/(dx)y-4=0	$2 \cdot \frac{d^{2}}{d x^{2}} y - 7 \cdot \frac{d}{d x} y - 4 = 0$
26432	Solve the Inequality for p	p-3>-8	$p - 3 > - 8$
26433	Simplify	log of 2+ log of 5	$\log (2) + \log (5)$
26434	Add	(11x-8)+7(x-1)	$(11 x - 8) + 7 (x - 1)$
26435	Simplify	4/(x+1)+(x+2)/(x^2-1)+3/(x-1)	$\frac{4}{x + 1} + \frac{x + 2}{x^{2} - 1} + \frac{3}{x - 1}$
26436	Simplify	(12(p+q))/(4(p-q))	$\frac{12 (p + q)}{4 (p - q)}$
26437	Simplify	x3/4*x1/5	$x \frac{3}{4} \cdot x \frac{1}{5}$
26438	Solve for d	x^2+2x-15=(ax+b)(cx+d)	$x^{2} + 2 x - 15 = (a x + b) (c x + d)$
26439	Solve the Inequality for x	1/x-4<0	$\frac{1}{x} - 4 < 0$
26440	Subtract	1/(5m)-2/(3n)	$\frac{1}{5 m} - \frac{2}{3 n}$
26441	Add	(7x^2y^2+12xy^2-3x^2y+11)+(-12xy^2+20x^2y+11xy-5)	$(7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11) + (- 12 x y^{2} + 20 x^{2} y + 11 x y - 5)$
26442	Simplify	((2m^5n)/(4m^2))^2*((mn^4)/(5n))^2	${(\frac{2 m^{5} n}{4 m^{2}})}^{2} \cdot {(\frac{m n^{4}}{5 n})}^{2}$
26443	Solve for y	2xy+6y=0	$2 x y + 6 y = 0$
26444	Simplify	((x^(-1/3)y)/(x^(2/3)y^(-1/2)))^2	${(\frac{x^{- \frac{1}{3}} y}{x^{\frac{2}{3}} y^{- \frac{1}{2}}})}^{2}$
26445	Evaluate the Summation	5 sum from i=1 to 5 of 9i-3i^2	$5 \sum_{i = 1}^{5} 9 i - 3 i^{2}$
26446	Solve for x	x/3=x/8+6	$\frac{x}{3} = \frac{x}{8} + 6$
26447	Simplify the Radical Expression	square root of 100- square root of -2- square root of 9+ square root of -162	$\sqrt{100} - \sqrt{- 2} - \sqrt{9} + \sqrt{- 162}$
26448	Find the Derivative - d/dt	1/2t^2+1	$\frac{1}{2} t^{2} + 1$
26449	Solve Using the Square Root Property	16-3x^2=13	$16 - 3 x^{2} = 13$
26450	Solve the Rational Equation for x	square root of x+1 = square root of x+9	$\sqrt{x} + 1 = \sqrt{x + 9}$
26451	Simplify	((a+b)^2)/((-a-b)^2)	$\frac{{(a + b)}^{2}}{{(- a - b)}^{2}}$
26452	Solve for x	-\|2/3x+5\|-16=-10	$- \| \frac{2}{3} x + 5 \| - 16 = - 10$
26453	Convert from Radians to Degrees	-pi/6rad	$- \frac{π}{6}$ rad
26454	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,7) and has a slope of -1 ?	What is the equation of the line that passes through the point $(1, 7)$ and has a slope of $- 1$ ?
26455	Evaluate	x^2=36/49	$x^{2} = \frac{36}{49}$
26456	Solve for u	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
26457	Divide Using Long Polynomial Division	(2x^3+11x^2-21x)/(x^2+3x)	$\frac{2 x^{3} + 11 x^{2} - 21 x}{x^{2} + 3 x}$
26458	Find Amplitude, Period, and Phase Shift	y=-2csc(2x+pi/2)+3	$y = - 2 \csc (2 x + \frac{π}{2}) + 3$
26459	Solve the Rational Equation for v	6 = square root of v-2	$6 = \sqrt{v - 2}$
26460	Add	(15x-121x^12+x^9-x^7+3x^2)+(x^7-68x^2-x^9)	$(15 x - 121 x^{12} + x^{9} - x^{7} + 3 x^{2}) + (x^{7} - 68 x^{2} - x^{9})$
26461	Evaluate	(( square root of 3)/2)÷(-1/2)	$\frac{\sqrt{3}}{2} \div \frac{- 1}{2}$
26462	Solve for x	-21=3(-3x+6)+7(1-2x)	$- 21 = 3 (- 3 x + 6) + 7 (1 - 2 x)$
26463	Simplify	-2/3n^2(-9n^2+3n+6)	$- \frac{2}{3} n^{2} (- 9 n^{2} + 3 n + 6)$
26464	Simplify	(4 square root of x^2)/(6 square root of y^3)	$\frac{4 \sqrt{x^{2}}}{6 \sqrt{y^{3}}}$
26465	Convert from Degrees to Radians	144deg	$144$ degrees
26466	Factor	3x(x^2-4)(5-3x)	$3 x (x^{2} - 4) (5 - 3 x)$
26467	Evaluate	64^(1/3)+9^(-1/2)	$64^{\frac{1}{3}} + 9^{- \frac{1}{2}}$
26468	Evaluate	20% of 120	$20 %$ of $120$
26469	Simplify	1/(cos(x)^2)+1/(sin(x)^2)	$\frac{1}{\cos^{2} (x)} + \frac{1}{\sin^{2} (x)}$
26470	Solve for b	(x^2+bx-2)(x+3)=x^3+6x^2+7x-6	$(x^{2} + b x - 2) (x + 3) = x^{3} + 6 x^{2} + 7 x - 6$
26471	Solve for n	16n^2-10n-5=6n	$16 n^{2} - 10 n - 5 = 6 n$
26472	Find the LCD	4/(2x+1) and 1/(9x)	$\frac{4}{2 x + 1}$ and $\frac{1}{9 x}$
26473	Solve for p	(3p+7)(3p-7)(p+8)=0	$(3 p + 7) (3 p - 7) (p + 8) = 0$
26474	Evaluate Using the Given Value	2x^3-3x^2+4 for x=-2	$2 x^{3} - 3 x^{2} + 4$ for $x = - 2$
26475	Add	Find the sum of -8x^2+3 and -9x^2+3x-3	Find the sum of $- 8 x^{2} + 3$ and $- 9 x^{2} + 3 x - 3$
26476	Evaluate	20% of 35	$20 %$ of $35$
26477	Find the Equation Using Point-Slope Formula	through: (3,-1) , slope=-1	through: $(3, - 1)$ , $s l o p e = - 1$
26478	Find the Antiderivative	3(x+1)^2	$3 {(x + 1)}^{2}$
26479	Solve by Graphing	-5x+3y=51 y=10x-8	$- 5 x + 3 y = 51$ $y = 10 x - 8$
26480	Multiply	3x(2x^2+x-4)	$3 x (2 x^{2} + x - 4)$
26481	Convert to Radical Form	6/(6^(1/4))	$\frac{6}{6^{\frac{1}{4}}}$
26482	Write in Standard Form	(-10x^2-1)+(-8x^2+8x-8)	$(- 10 x^{2} - 1) + (- 8 x^{2} + 8 x - 8)$
26483	Find the Derivative - d/dx	x+pisec(x)	$x + π \sec (x)$
26484	Simplify the Radical Expression	x^-2*x^(11/9)	$x^{- 2} \cdot x^{\frac{11}{9}}$
26485	Simplify	( square root of 5x^3)^2	${(\sqrt{5 x^{3}})}^{2}$
26486	Simplify	3 square root of ab^2-b square root of a	$3 \sqrt{a b^{2}} - b \sqrt{a}$
26487	Write in Standard Form	2/3y=-2x+1	$\frac{2}{3} y = - 2 x + 1$
26488	Simplify	(6a^5+a^2-5b^3)-(3a^3+6a^2-2b^3)	$(6 a^{5} + a^{2} - 5 b^{3}) - (3 a^{3} + 6 a^{2} - 2 b^{3})$
26489	Simplify	(-9c^4-5c^3-c^2)÷(c^3)	$(- 9 c^{4} - 5 c^{3} - c^{2}) \div c^{3}$
26490	Simplify	(4^-8*4^0)/(4^5)	$\frac{4^{- 8} \cdot 4^{0}}{4^{5}}$
26491	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(2x^3)/3+5/3+15x	$f (x) = \frac{2 x^{3}}{3} + \frac{5}{3} + 15 x$
26492	Evaluate	5 cube root of 729-24	$5 \sqrt[3]{729 - 24}$
26493	Find the Second Derivative	f(x)=((1-x^2)/(1-x))^2	$f (x) = {(\frac{1 - x^{2}}{1 - x})}^{2}$
26494	Simplify	(5^2b^3)^(2/3)	${(5^{2} b^{3})}^{\frac{2}{3}}$
26495	Solve for x	2x+2y=4y+x	$2 x + 2 y = 4 y + x$
26496	Solve the System of Equations	x+2y+3z=2 2x+4y+6z=4 3x+6y+12z=6	$x + 2 y + 3 z = 2$ $2 x + 4 y + 6 z = 4$ $3 x + 6 y + 12 z = 6$
26497	Evaluate	4(5)^4-24(5)^(1/3)	$4 {(5)}^{4} - 24 {(5)}^{\frac{1}{3}}$
26498	Solve the System of Equations	y=2x 3x+y=20	$y = 2 x$ $3 x + y = 20$
26499	Find the x and y Intercepts	xy-2y-3=0	$x y - 2 y - 3 = 0$
26500	Simplify	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \cdot 3^{4}}{9}$