Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46201	Simplify	(7r^5+42r^4+56r^3)/(10r+5r^2)	$\frac{7 r^{5} + 42 r^{4} + 56 r^{3}}{10 r + 5 r^{2}}$
46202	Solve for n	e^(5n-1)-40=14	$e^{5 n - 1} - 40 = 14$
46203	Subtract	(7x^2y^3z)-(-7x^2y^3z)	$(7 x^{2} y^{3} z) - (- 7 x^{2} y^{3} z)$
46204	Write in Standard Form	(x^2)/5+1-x^5	$\frac{x^{2}}{5} + 1 - x^{5}$
46205	Solve for x	3x^2+87=30x	$3 x^{2} + 87 = 30 x$
46206	Evaluate the Integral	integral from 0 to a of x^2 with respect to x	$\int_{0}^{a} x^{2} d x$
46207	Solve for h	5h-2(3/2h+4)=10	$5 h - 2 (\frac{3}{2} h + 4) = 10$
46208	Find the Equation Using Point-Slope Formula	(-1,7) and (6,-7)	$(- 1, 7)$ and $(6, - 7)$
46209	Find the x and y Intercepts	f(x) = cube root of 2(x+1)+4	$f (x) = \sqrt[3]{2 (x + 1)} + 4$
46210	Divide Using Long Polynomial Division	(5x^5-1)÷(5x+5)	$(5 x^{5} - 1) \div (5 x + 5)$
46211	Simplify	(6 1/2*4 1/3)^2	${(6 \frac{1}{2} \cdot 4 \frac{1}{3})}^{2}$
46212	Graph	y>2x+4 2x-y<=4	$y > 2 x + 4$ $2 x - y \leq 4$
46213	Solve for x	Solve log of x+ log of x+3=1	Solve $\log (x) + \log (x + 3) = 1$
46214	Simplify	square root of (xy)/z	$\sqrt{\frac{x y}{z}}$
46215	Simplify	(-3(-2))÷6	$- 3 (- 2) \div 6$
46216	Solve for W	P=LW	$P = L W$
46217	Simplify	tan(x)^2*sin(x)^2	$\tan^{2} (x) \cdot \sin^{2} (x)$
46218	Graph	f(x)=-1/2*(4)^x+1	$f (x) = - \frac{1}{2} \cdot {(4)}^{x} + 1$
46219	Solve the Rational Equation for x	square root of x+10-1=x	$\sqrt{x + 10} - 1 = x$
46220	Solve for x	(4x-6)/(3x-9)=1/3	$\frac{4 x - 6}{3 x - 9} = \frac{1}{3}$
46221	Evaluate	square root of m+17+3=m	$\sqrt{m + 17} + 3 = m$
46222	Find the Domain and Range	5/( cube root of x-8)	$\frac{5}{\sqrt[3]{x - 8}}$
46223	Solve for b	2 square root of b+5=11- square root of b	$2 \sqrt{b} + 5 = 11 - \sqrt{b}$
46224	Solve the Inequality for m	m/3-3<-6	$\frac{m}{3} - 3 < - 6$
46225	Find the Length of b	tri{}{30}{}{60}{2}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
46226	Find the Domain and Range	y=cos(x-pi)	$y = \cos (x - π)$
46227	Find the Exact Value	sin(pi/2-(3pi)/2)	$\sin (\frac{π}{2} - \frac{3 π}{2})$
46228	Graph Using a Table of Values	y=-2x^2+8x	$y = - 2 x^{2} + 8 x$
46229	Subtract	(7x^3-x+4x^2-9)-(6x^2-4x^3+11)	$(7 x^{3} - x + 4 x^{2} - 9) - (6 x^{2} - 4 x^{3} + 11)$
46230	Solve for m	-8=1.3m-2.1m	$- 8 = 1.3 m - 2.1 m$
46231	Evaluate the Integral	integral from 2 to 3 of (3-x) with respect to x	$\int_{2}^{3} (3 - x) d x$
46232	Solve the Inequality for x	x^2+x-1>0	$x^{2} + x - 1 > 0$
46233	Integrate By Parts	integral of (x^2)/(x+1) with respect to x	$\int \frac{x^{2}}{x + 1} d x$
46234	Solve the Inequality for n	0<n-1+6	$0 < n - 1 + 6$
46235	Simplify	square root of 8* square root of -8	$\sqrt{8} \cdot \sqrt{- 8}$
46236	Evaluate	( log base 8 of 2+ log base 81 of 3)/( log base square root of 3 of 27)	$\frac{\log_{8} (2) + \log_{81} (3)}{\log_{\sqrt{3}} (27)}$
46237	Graph	y<=2x+3 y<1/3x+5	$y \leq 2 x + 3$ $y < \frac{1}{3} x + 5$
46238	Factor	x(x^2-4)	$x (x^{2} - 4)$
46239	Solve for a	p=6/a	$p = \frac{6}{a}$
46240	Evaluate the Limit	limit as x approaches infinity of (x^3-x+7)/( square root of 9x^6+1)	$lim_{x \to \infty} \frac{x^{3} - x + 7}{\sqrt{9 x^{6} + 1}}$
46241	Simplify	((2x^4y^2)/(5x^-3y^5))^3	${(\frac{2 x^{4} y^{2}}{5 x^{- 3} y^{5}})}^{3}$
46242	Write as a Single Logarithm	2* log base 3 of 8-4* log base 3 of 2	$2 \cdot \log_{3} (8) - 4 \cdot \log_{3} (2)$
46243	Solve for x	0=3x^2-1	$0 = 3 x^{2} - 1$
46244	Find the Antiderivative	(5 square root of x)/x	$\frac{5 \sqrt{x}}{x}$
46245	Find the Antiderivative	f(x)=3x^2-pix	$f (x) = 3 x^{2} - π x$
46246	Solve for x	3^( log base 3 of x^3)=1/27	$3^{\log_{3} (x^{3})} = \frac{1}{27}$
46247	Simplify	12a^3(7ab^3-8a^2b^2+5a^3b)	$12 a^{3} (7 a b^{3} - 8 a^{2} b^{2} + 5 a^{3} b)$
46248	Convert to Interval Notation	square root of 4x^2-12x+9>=9	$\sqrt{4 x^{2} - 12 x + 9} \geq 9$
46249	Solve by Factoring	4cos(x)^2-1=0	$4 \cos^{2} (x) - 1 = 0$
46250	Solve for b	-b+5(4b-4)<10b-10-2b	$- b + 5 (4 b - 4) < 10 b - 10 - 2 b$
46251	Solve the System of Equations	y=-x+3 and y=x-1	$y = - x + 3$ and $y = x - 1$
46252	Write in y=mx+b Form	y=x+4	$y = x + 4$
46253	Divide Using Long Polynomial Division	9x^3+27x^2+29x+7 divided by 3x+1	$9 x^{3} + 27 x^{2} + 29 x + 7$ divided by $3 x + 1$
46254	Find the Length of c	tri{6}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
46255	Solve the Absolute Value Inequality for c	\|-4c+15\|=35	$\| - 4 c + 15 \| = 35$
46256	Simplify	(7y^6)(2y-4)^2	$(7 y^{6}) {(2 y - 4)}^{2}$
46257	Describe the Transformation	y=-(-x)^3	$y = - {(- x)}^{3}$
46258	Evaluate	24 root of 1/(n^7*n^2)	$\sqrt[24]{\frac{1}{n^{7} \cdot n^{2}}}$
46259	Simplify	plus or minus square root of 49	$\pm \sqrt{49}$
46260	Simplify	limit as x approaches 4 of (x^2+2x-24)/(x^2-8x+16)	$lim_{x \to 4} \frac{x^{2} + 2 x - 24}{x^{2} - 8 x + 16}$
46261	Evaluate	Evaluate f(-1)	Evaluate $f (- 1)$
46262	Evaluate the Integral	integral from e to e^e of 1/(x natural log of x) with respect to x	$\int_{e}^{e^{e}} \frac{1}{x \ln (x)} d x$
46263	Graph	f(-3)=4x^2-x-3	$f (- 3) = 4 x^{2} - x - 3$
46264	Integrate By Parts	integral of 1/(x^3) with respect to x	$\int \frac{1}{x^{3}} d x$
46265	Simplify	(i+i^2+i^3)/(i^3+i^4+i^5)	$\frac{i + i^{2} + i^{3}}{i^{3} + i^{4} + i^{5}}$
46266	Find the Second Derivative	5 natural log of x^5	$5 \ln (x^{5})$
46267	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+14x^2+11x+2 is divided by 4x+1	Use the long division method to find the result when $8 x^{3} + 14 x^{2} + 11 x + 2$ is divided by $4 x + 1$
46268	Graph	F(x)=-1/(x^2+10x+25)	$F (x) = \frac{- 1}{x^{2} + 10 x + 25}$
46269	Simplify	(7x^2y^2+12xy^2-3x^2y+11)+(-12xy^2+20x^2y+11xy-5)	$(7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11) + (- 12 x y^{2} + 20 x^{2} y + 11 x y - 5)$
46270	Solve for x	5/8(x-1/3)=5/12	$\frac{5}{8} (x - \frac{1}{3}) = \frac{5}{12}$
46271	Graph	y+3x=x^2	$y + 3 x = x^{2}$
46272	Simplify	((2x)/(x+1))/(3/(x+1))	$\frac{\frac{2 x}{x + 1}}{\frac{3}{x + 1}}$
46273	Evaluate the Limit	limit as x approaches -pi/6 of 4cos(x)-3tan(-2x)	$lim_{x \to - \frac{π}{6}} 4 \cos (x) - 3 \tan (- 2 x)$
46274	Solve for x	fifth root of 2x-3- fifth root of x-4=0	$\sqrt[5]{2 x - 3} - \sqrt[5]{x - 4} = 0$
46275	Solve for S	S=180(5-2)	$S = 180 (5 - 2)$
46276	Simplify	((-6)^-5)/(3^-2)	$\frac{{(- 6)}^{- 5}}{3^{- 2}}$
46277	Simplify	(a-4)/(4a-8)+1/(2a-4)	$\frac{(a - 4)}{4 a - 8} + \frac{1}{2 a - 4}$
46278	Solve by Factoring	square root of 5/6=( square root of 5)/( square root of 6)	$\sqrt{\frac{5}{6}} = \frac{\sqrt{5}}{\sqrt{6}}$
46279	Simplify	(x square root of 3)/x	$\frac{x \sqrt{3}}{x}$
46280	Evaluate	-4/( square root of 1-16(-1/6)^2)	$- \frac{4}{\sqrt{1 - 16 {(- \frac{1}{6})}^{2}}}$
46281	Evaluate	xy^-2	$x y^{- 2}$
46282	Solve the System of Equations	y=2x-3 2x=y-3	$y = 2 x - 3$ $2 x = y - 3$
46283	Simplify	(sin(x)^2+cos(x)^2)/(tan(x)^2+1)	$\frac{\sin^{2} (x) + \cos^{2} (x)}{\tan^{2} (x) + 1}$
46284	Evaluate	sin(theta)+cos(theta)cot(theta)	$\sin (θ) + \cos (θ) \cot (θ)$
46285	Evaluate Using L'Hospital's Rule	limit as x approaches -2 of (4cos(x+2)-x^2)/(4e^(-4-2x)-x^2)	$lim_{x \to - 2} \frac{4 \cos (x + 2) - x^{2}}{4 e^{- 4 - 2 x} - x^{2}}$
46286	Evaluate	(2-10 1/2)/(-1/3)	$\frac{2 - 10 \frac{1}{2}}{- \frac{1}{3}}$
46287	Multiply	(x-2)/(3x+15)*(x^2-1)/(x^2-x-2)	$\frac{x - 2}{3 x + 15} \cdot \frac{x^{2} - 1}{x^{2} - x - 2}$
46288	Solve the Inequality for x	6<1-3x<=10	$6 < 1 - 3 x \leq 10$
46289	Simplify	(2p^2)/(-2p*(-p)^2)	$\frac{2 p^{2}}{- 2 p \cdot {(- p)}^{2}}$
46290	Find dy/dx	-y^2+5=x^2	$- y^{2} + 5 = x^{2}$
46291	Solve for x	log of x = log of 3+ log of 5	$\log (x) = \log (3) + \log (5)$
46292	Evaluate	cube root of x* cube root of x	$\sqrt[3]{x} \cdot \sqrt[3]{x}$
46293	Simplify	(8x^2-4x-3)-(-2x-x^2+5)	$(8 x^{2} - 4 x - 3) - (- 2 x - x^{2} + 5)$
46294	Evaluate the Summation	7 sum from p=0 to 5 of 6-p^2	$7 \sum_{p = 0}^{5} 6 - p^{2}$
46295	Find the Derivative - d/dx	square root of x^2+y	$\sqrt{x^{2} + y}$
46296	Find the Domain and Range	y=10+10/(4x+12)	$y = 10 + \frac{10}{4 x + 12}$
46297	Evaluate the Summation	sum from p=2 to 8 of -9p+p^2	$\sum_{p = 2}^{8} - 9 p + p^{2}$
46298	Simplify	(10-4)/10	$\frac{10 - 4}{10}$
46299	Multiply	(-x^2-3x+10)(x^2+x+1)	$(- x^{2} - 3 x + 10) (x^{2} + x + 1)$
46300	Integrate Using u-Substitution	integral of 1/(x^3) with respect to x	$\int \frac{1}{x^{3}} d x$