Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6401	Simplify the Radical Expression	30 root of 32d^20n^15p^25	$\sqrt[30]{32 d^{20} n^{15} p^{25}}$
6402	Simplify	fourth root of (4a^3b^2)/(2a^2b^3)	$\sqrt[4]{\frac{4 a^{3} b^{2}}{2 a^{2} b^{3}}}$
6403	Simplify/Condense	1/3( natural log of 64- natural log of 8x^3)	$\frac{1}{3} (\ln (64) - \ln (8 x^{3}))$
6404	Simplify the Radical Expression	( square root of 6)^2	${(\sqrt{6})}^{2}$
6405	Divide	(3a^3-6a^2b+9ab^2)÷(3a)	$(3 a^{3} - 6 a^{2} b + 9 a b^{2}) \div (3 a)$
6406	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x-5x^2+8+x^3	$f (x) = - 2 x - 5 x^{2} + 8 + x^{3}$
6407	Graph	x^3+y^3+z^3=k	$x^{3} + y^{3} + z^{3} = k$
6408	Solve by Substitution	y=-2 and 4x-3y=18	$y = - 2$ and $4 x - 3 y = 18$
6409	Find the Concavity	f(x)=1/10x^5-12x^3	$f (x) = \frac{1}{10} x^{5} - 12 x^{3}$
6410	Solve for d	7/6d+4/3=-1/3	$\frac{7}{6} d + \frac{4}{3} = - \frac{1}{3}$
6411	Find the Center and Radius	(x-h)^2(y-k)^2=r^2	${(x - h)}^{2} {(y - k)}^{2} = r^{2}$
6412	Simplify	2/( fourth root of 4y)	$\frac{2}{\sqrt[4]{4 y}}$
6413	Find the Distance Between Two Points	(3,-7) and (3,8)	$(3, - 7)$ and $(3, 8)$
6414	Simplify	(1-cos(theta)^2)cot(theta)csc(theta)	$(1 - \cos^{2} (θ)) \cdot \cot (θ) \cdot \csc (θ)$
6415	Simplify	Find the sum of 10x^2-10x-6 and x+6	Find the sum of $10 x^{2} - 10 x - 6$ and $x + 6$
6416	Determine if Linearly Dependent	[[1,2,1],[3,-1,0],[6,-2,0]]	$[\begin{array}{c} 1 & 2 & 1 \\ 3 & - 1 & 0 \\ 6 & - 2 & 0 \end{array}]$
6417	Solve for x	5+(8x)/7=29	$5 + \frac{8 x}{7} = 29$
6418	Find the Antiderivative	(x^2)/(x-1)	$\frac{x^{2}}{x - 1}$
6419	Simplify	(1 square root of 2)/2	$\frac{1 \sqrt{2}}{2}$
6420	Write the Fraction in Simplest Form	(x^3y^4)^(2/3)	${(x^{3} y^{4})}^{\frac{2}{3}}$
6421	Find the Derivative - d/dx	square root of 2x^3+x+1	$\sqrt{2 x^{3} + x + 1}$
6422	Simplify	( square root of 32x^6y^10)/( square root of x)	$\frac{\sqrt{32 x^{6} y^{10}}}{\sqrt{x}}$
6423	Evaluate	3 1/3+(-2 1/4)+1 5/6	$3 \frac{1}{3} + (- 2 \frac{1}{4}) + 1 \frac{5}{6}$
6424	Find the Derivative - d/dx	e^(2x-6)-e	$e^{2 x - 6} - e$
6425	Evaluate the Function	y=3^x , x=2	$y = 3^{x}$ , $x = 2$
6426	Find the Asymptotes	f(x)=5/(x^2(x-4)(x+2))	$f (x) = \frac{5}{x^{2} (x - 4) (x + 2)}$
6427	Write as a Single Logarithm	3 log of a+ log of a-2	$3 \log (a) + \log (a - 2)$
6428	Factor	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
6429	Simplify	y^2 cube root of 8x^8y^3	$y^{2} \sqrt[3]{8 x^{8} y^{3}}$
6430	Find the Product	(a-b)(a+b)(a-3b)	$(a - b) (a + b) (a - 3 b)$
6431	Simplify	(2x^3)^4(-3x^2y^3)^2	${(2 x^{3})}^{4} {(- 3 x^{2} y^{3})}^{2}$
6432	Rationalize the Denominator	square root of 5/(3b)	$\sqrt[2]{\frac{5}{3 b}}$
6433	Solve for x	1/2(20-8x)=-3(-2-x)+18	$\frac{1}{2} (20 - 8 x) = - 3 (- 2 - x) + 18$
6434	Simplify the Radical Expression	((4m^8y^12)/(8p^20))^(1/4)	${(\frac{4 m^{8} y^{12}}{8 p^{20}})}^{\frac{1}{4}}$
6435	Solve for a	3^(a-7)=27^(2a)	$3^{a - 7} = 27^{2 a}$
6436	Solve for a	y=(ab)/(2c)	$y = \frac{a b}{2 c}$
6437	Verify the Identity	(1-sin(x)^2cos(x)^2)/(cos(x)^2)=cos(x)^2+tan(x)^2	$\frac{1 - \sin^{2} (x) \cos^{2} (x)}{\cos^{2} (x)} = \cos^{2} (x) + \tan^{2} (x)$
6438	Factor	pi(16x^2+24x+9)	$π (16 x^{2} + 24 x + 9)$
6439	Solve for x	2/3x+1/3=1/3x+2/3	$\frac{2}{3} x + \frac{1}{3} = \frac{1}{3} x + \frac{2}{3}$
6440	Find the Product	(3a^2b+2ab^2)(3a^2b-2ab^2)	$(3 a^{2} b + 2 a b^{2}) (3 a^{2} b - 2 a b^{2})$
6441	Solve Using the Quadratic Formula	8x^3-27=0	$8 x^{3} - 27 = 0$
6442	Simplify	square root of 81(x^5-2)^10	$\sqrt{81 {(x^{5} - 2)}^{10}}$
6443	Find the Antiderivative	f(x)=4+x	$f (x) = 4 + x$
6444	Write as a Single Logarithm	log of 4x+2* log of x-3	$\log (4 x) + 2 \cdot \log (x - 3)$
6445	Solve for y	y=2x^3 , x=3	$y = 2 x^{3}$ , $x = 3$
6446	Solve for x	square root of square root of x+9 = square root of x+3	$\sqrt{\sqrt{x + 9}} = \sqrt{x + 3}$
6447	Solve for c	ab=cde	$a b = c d e$
6448	Write in Exponential Form	m root of n root of a	$\sqrt[m]{\sqrt[n]{a}}$
6449	Simplify	((3z^5)/(4x^-5y^3))^-2	${(\frac{3 z^{5}}{4 x^{- 5} y^{3}})}^{- 2}$
6450	Simplify	((ab^2)^3)/(a^5b^3)	$\frac{{(a b^{2})}^{3}}{a^{5} b^{3}}$
6451	Solve the Inequality for c	E=mc^2	$E = m c^{2}$
6452	Evaluate	(5/11)÷8-7/22*1/7	$\frac{5}{11} \div 8 - \frac{7}{22} \cdot \frac{1}{7}$
6453	Add	(2x^3+3x^2-5)+(3x^2+7)	$(2 x^{3} + 3 x^{2} - 5) + (3 x^{2} + 7)$
6454	Simplify	(36a^4b^0c^48)(2a^0b^-6c^-28)	$(36 a^{4} b^{0} c^{48}) (2 a^{0} b^{- 6} c^{- 28})$
6455	Find the Asymptotes	f(x)=-2+ log base 5 of -x	$f (x) = - 2 + \log_{5} (- x)$
6456	Solve the Inequality for x	square root of 4x-4-2<4	$\sqrt{4 x - 4} - 2 < 4$
6457	Factor	x^3-3x^2-10x-x^2+3x+10	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10$
6458	Find the Exact Value	(4((3-5)^2-2(5/2-6/4)^3)+6(8/12))- square root of 25	$(4 ({(3 - 5)}^{2} - 2 {(\frac{5}{2} - \frac{6}{4})}^{3}) + 6 (\frac{8}{12})) - \sqrt{25}$
6459	Write in Exponential Form	-29 root of (4n)/(m^5p)	$\sqrt[- 29]{\frac{4 n}{m^{5} p}}$
6460	Solve for c	-20+18c=6c+14+10c	$- 20 + 18 c = 6 c + 14 + 10 c$
6461	Simplify	(2 square root of 10)/( square root of 5+ square root of 6- square root of 7)	$\frac{2 \sqrt{10}}{\sqrt{5} + \sqrt{6} - \sqrt{7}}$
6462	Solve for x	square root of 15x+10=2x+3	$\sqrt{15 x + 10} = 2 x + 3$
6463	Simplify	( square root of 7x+3)( square root of 7x-3)	$(\sqrt{7 x} + 3) (\sqrt{7 x} - 3)$
6464	Find the Parallel Line	through: (4,2) ; parallel to y=-3/4x-5	through: $(4, 2)$ ; parallel to $y = - \frac{3}{4} x - 5$
6465	Solve for x	-hx+4=2x-1	$- h x + 4 = 2 x - 1$
6466	Add	1 1/2+1 1/2+1 1/2	$1 \frac{1}{2} + 1 \frac{1}{2} + 1 \frac{1}{2}$
6467	Simplify	2 square root of 18+3 cube root of 27-4 cube root of 16	$2 \sqrt{18} + 3 \sqrt[3]{27} - 4 \sqrt[3]{16}$
6468	Solve the Inequality for n	n+2<6	$n + 2 < 6$
6469	Multiply	pi/2*2	$\frac{π}{2} \cdot 2$
6470	Solve for x	(x^2+x)/2=(8x-7)/3	$\frac{x^{2} + x}{2} = \frac{8 x - 7}{3}$
6471	Simplify	(5v^2-3v^4-7v+6v^3)-(8v^4+6+4v^3-6v)	$(5 v^{2} - 3 v^{4} - 7 v + 6 v^{3}) - (8 v^{4} + 6 + 4 v^{3} - 6 v)$
6472	Evaluate	e-1/e	$e - \frac{1}{e}$
6473	Find the Domain	-(3x-2y)/(2y+3x)	$- \frac{3 x - 2 y}{2 y + 3 x}$
6474	Solve the Rational Equation for v	square root of v-4=3	$\sqrt{v - 4} = 3$
6475	Simplify	4j^2k^6(2j^11)^3k^5	$4 j^{2} k^{6} {(2 j^{11})}^{3} k^{5}$
6476	Solve for x	2sin(pi/3x) = square root of 2	$2 \sin (\frac{π}{3} x) = \sqrt{2}$
6477	Evaluate	((-4)^-2)÷(4^-4)	${(- 4)}^{- 2} \div 4^{- 4}$
6478	Evaluate the Function	3^(2x)=6 , 561	$3^{2 x} = 6$ , $561$
6479	Simplify	1/27x(6x^2+4x-2)-1/25x(4x^2+6x-2)	$\frac{1}{2} \cdot 7 x (6 x^{2} + 4 x - 2) - \frac{1}{2} \cdot 5 x (4 x^{2} + 6 x - 2)$
6480	Simplify the Radical Expression	4 square root of 98+ square root of 150-2 square root of 32	$4 \sqrt{98} + \sqrt{150} - 2 \sqrt{32}$
6481	Find the Percentage Rate of Change	f(t)=80(3/5)^t	$f (t) = 80 {(\frac{3}{5})}^{t}$
6482	Simplify the Radical Expression	(v^-1)^(1/9)	${(v^{- 1})}^{\frac{1}{9}}$
6483	Solve for z	0.3z=2(z-8.5)	$0.3 z = 2 (z - 8.5)$
6484	Evaluate	fourth root of 16x^8y^4	$\sqrt[4]{16 x^{8} y^{4}}$
6485	Graph	5x-2>13 or -4x>=8	$5 x - 2 > 13$ or $- 4 x \geq 8$
6486	Find the Antiderivative	x/(sin(x)^2)	$\frac{x}{\sin^{2} (x)}$
6487	Factor	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
6488	Simplify	(4x^4+7x^2+6x)-(x^3-7x+10)	$(4 x^{4} + 7 x^{2} + 6 x) - (x^{3} - 7 x + 10)$
6489	Determine if True	sec(x)-tan(x)sin(x)=1/(sec(x))	$\sec (x) - \tan (x) \sin (x) = \frac{1}{\sec (x)}$
6490	Simplify	( square root of 180x^2y^5)/( square root of 10x^2)	$\frac{\sqrt{180 x^{2} y^{5}}}{\sqrt{10 x^{2}}}$
6491	Solve for x	log base 6 of 3x^2-3- log base 6 of 2x+5=0	$\log_{6} (3 x^{2} - 3) - \log_{6} (2 x + 5) = 0$
6492	Solve for z	(4z)/3-2=2z	$\frac{4 z}{3} - 2 = 2 z$
6493	Solve for x	1/4(x-7)=1+3x	$\frac{1}{4} (x - 7) = 1 + 3 x$
6494	Write in Standard Form	3x^2-5x-4+x^3	$3 x^{2} - 5 x - 4 + x^{3}$
6495	Find the Domain	( square root of x-2)/(x(x-1))	$\frac{\sqrt{x - 2}}{x (x - 1)}$
6496	Solve for x	3^(x+3)-3^(x+2)+3^(x+1)-3^x=60^x	$3^{x + 3} - 3^{x + 2} + 3^{x + 1} - 3^{x} = 60^{x}$
6497	Find the Roots (Zeros)	f(x)=x^6-2x^5-5x^4+6x^3	$f (x) = x^{6} - 2 x^{5} - 5 x^{4} + 6 x^{3}$
6498	Evaluate	36÷((3^2)÷(3/4))-2.4	$36 \div (3^{2} \div \frac{3}{4}) - 2.4$
6499	Simplify	(2 cube root of 3)^3	${(2 \sqrt[3]{3})}^{3}$
6500	Simplify the Radical Expression	square root of 4^3	$\sqrt{4^{3}}$