Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35201	Simplify	(4/(20x-12))÷(1/(20x^2-12x))	$\frac{4}{20 x - 12} \div \frac{1}{20 x^{2} - 12 x}$
35202	Find the Antiderivative	cos(3x+pi/6)	$\cos (3 x + \frac{π}{6})$
35203	Multiply	(4x)/(ab)*(a^2b)/(2x^2)	$\frac{4 x}{a b} \cdot \frac{a^{2} b}{2 x^{2}}$
35204	Evaluate	sin(x)=cos(x)	$\sin (x) = \cos (x)$
35205	Evaluate	3x^2+7x-(x+4)^2-9	$3 x^{2} + 7 x - {(x + 4)}^{2} - 9$
35206	Solve for n	1-(2n+9)=4(n-2)	$1 - (2 n + 9) = 4 (n - 2)$
35207	Solve for C	C(t)=t^2-2t-4	$C (t) = t^{2} - 2 t - 4$
35208	Factor by Grouping	a^2b^2+a	$a^{2} b^{2} + a$
35209	Find the Asymptotes	(3(x-8))/((3x-10)(x-8))	$\frac{3 (x - 8)}{(3 x - 10) (x - 8)}$
35210	Write as a Single Logarithm	1/4 log base x of 3 log base x of a	$\frac{1}{4} \log_{x} (3 \log_{x} (a))$
35211	Find the Derivative - d/dx	1/( square root of x)dx	$\frac{1}{\sqrt{x}} d x$
35212	Multiply	cube root of 3*2 cube root of 3	$\sqrt[3]{3} \cdot 2 \sqrt[3]{3}$
35213	Simplify	4x*5/(x+3)	$4 x \cdot \frac{5}{x + 3}$
35214	Evaluate	2(-3(x-1)+5)-2(3x-5)=2(1-2x)	$2 (- 3 (x - 1) + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$
35215	Evaluate the Summation	sum from k=1 to 20 of 100(k^2-5k+1)	$\sum_{k = 1}^{20} 100 (k^{2} - 5 k + 1)$
35216	Evaluate the Limit	limit as x approaches negative infinity of (x^2-9)/(x(x-3))	$lim_{x \to - \infty} \frac{x^{2} - 9}{x (x - 3)}$
35217	Solve for t	1/t=3/12	$\frac{1}{t} = \frac{3}{12}$
35218	Evaluate the Summation	4 sum from d=0 to 4 of 1-4d	$4 \sum_{d = 0}^{4} 1 - 4 d$
35219	Solve for a	6 square root of 8a^2=12	$6 \sqrt{8 a^{2}} = 12$
35220	Solve for x	1/5-(x-4)/10=1+(x-2)/2	$\frac{1}{5} - \frac{x - 4}{10} = 1 + \frac{x - 2}{2}$
35221	Write in Standard Form	(x-3)(x-4)(x+1)(x-2)	$(x - 3) (x - 4) (x + 1) (x - 2)$
35222	Solve for x	(-2x-5)^(3/5)=(x^2-29)^(3/5)	${(- 2 x - 5)}^{\frac{3}{5}} = {(x^{2} - 29)}^{\frac{3}{5}}$
35223	Solve by Addition/Elimination	y-x=2 y=-14x+7	$y - x = 2$ $y = - 14 x + 7$
35224	Solve the Function Operation	a town has a population of 5000 and grows at 3.5% every yr What will be the population after 15yr ; to the nearest whole number?	a town has a population of $5000$ and grows at $3.5 %$ every $year$ What will be the population after $15 years$ ; to the nearest whole number?
35225	Simplify	a/(2a-b)+(3a-b)/(b-2a)	$\frac{a}{2 a - b} + \frac{(3 a - b)}{b - 2 a}$
35226	Find the Area Between the Curves	y=x^2-5 and y=4	$y = x^{2} - 5$ and $y = 4$
35227	Simplify	(2+i)^2-6(2+i)+9	${(2 + i)}^{2} - 6 (2 + i) + 9$
35228	Find the Third Derivative	f(x)=5/24x^-2+1/8x^2-3/10x^5	$f (x) = \frac{5}{24} x^{- 2} + \frac{1}{8} x^{2} - \frac{3}{10} x^{5}$
35229	Solve for k	y=3tan(2kx-pi)	$y = 3 \tan (2 k x - π)$
35230	Solve for x	-8=x^3	$- 8 = x^{3}$
35231	Solve for V	P=(V^2)/R	$P = \frac{V^{2}}{R}$
35232	Graph	2x+7y>5 and 3x-y<=2 ?	$2 x + 7 y > 5$ and $3 x - y \leq 2$ ?
35233	Divide	(36m^5n^5)÷(12m^3)	$36 m^{5} n^{5} \div (12 m^{3})$
35234	Multiply	-1/6*4	$- \frac{1}{6} \cdot 4$
35235	Solve for x	4.1*10^-4=((2x)^2)/((0.25-x)(0.43-x))	$4.1 \cdot 10^{- 4} = \frac{{(2 x)}^{2}}{(0.25 - x) (0.43 - x)}$
35236	Solve by Factoring	y=x^2+5x-6	$y = x^{2} + 5 x - 6$
35237	Find the Parallel Line	What is an equation of the line that passes through the point (1,3) and is parallel to the line 3x+y=9 ?	What is an equation of the line that passes through the point $(1, 3)$ and is parallel to the line $3 x + y = 9$ ?
35238	Evaluate	y=3^-4	$y = 3^{- 4}$
35239	Simplify	arccsc(theta)	$arccsc (θ)$
35240	Divide	Divide 5a^2+6a-9 into 25a^4+19a^2-a-78	Divide $5 a^{2} + 6 a - 9$ into $25 a^{4} + 19 a^{2} - a - 78$
35241	Solve the System of Inequalities	3m>15 and -9m<18	$3 m > 15$ and $- 9 m < 18$
35242	Simplify	((7 square root of x-x square root of 7)/(7x))/(x-7)	$\frac{(\frac{7 \sqrt{x} - x \sqrt{7}}{7 x})}{x - 7}$
35243	Write with Rational (Fractional) Exponents	square root of 5* cube root of 5* fourth root of 5	$\sqrt{5} \cdot \sqrt[3]{5} \cdot \sqrt[4]{5}$
35244	Simplify	(8x^2-3x)-(5x-5-8x^2)	$(8 x^{2} - 3 x) - (5 x - 5 - 8 x^{2})$
35245	Evaluate the Integral	integral from 4 to 6 of square root of x^3+1 with respect to x	$\int_{4}^{6} \sqrt{x^{3} + 1} d x$
35246	Evaluate the Integral	integral from 0 to pi of (sin(x))/(1+cos(x)) with respect to x	$\int_{0}^{π} \frac{\sin (x)}{1 + \cos (x)} d x$
35247	Graph	y=ab^(x-h)+k	$y = a b^{x - h} + k$
35248	Find the Product	2(9x-2y)	$2 (9 x - 2 y)$
35249	Solve the System of Equations	y-10=3x 2y=6x+20	$y - 10 = 3 x$ $2 y = 6 x + 20$
35250	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+4x^3-14x^2+25x-15 is divided by x+3	Use synthetic division to find the result when $4 x^{4} + 4 x^{3} - 14 x^{2} + 25 x - 15$ is divided by $x + 3$
35251	Divide	((3x)/(x^2+10x+24))÷((x-6)/(x^2-36))	$\frac{3 x}{x^{2} + 10 x + 24} \div \frac{x - 6}{x^{2} - 36}$
35252	Simplify	(6xy+2y+6x)+(4xy-x)	$(6 x y + 2 y + 6 x) + (4 x y - x)$
35253	Find the Exact Value	arccsc(csc((5pi)/3))	$arccsc (\csc (\frac{5 π}{3}))$
35254	Solve Using the Quadratic Formula	7x+1=3x^2-2x+1	$7 x + 1 = 3 x^{2} - 2 x + 1$
35255	Simplify	a-(a-(b-(a-b)))	$a - (a - (b - (a - b)))$
35256	Solve for x	3 log base 8 of x- log base 8 of x = log base 8 of 144	$3 \log_{8} (x) - \log_{8} (x) = \log_{8} (144)$
35257	Simplify	10 square root of 5/5	$10 \sqrt{\frac{5}{5}}$
35258	Simplify	(-1/64)^(-1/3)	${(- \frac{1}{64})}^{- \frac{1}{3}}$
35259	Find Amplitude, Period, and Phase Shift	y=1/4cos((4x)/7+(5pi)/6)	$y = \frac{1}{4} \cos (\frac{4 x}{7} + \frac{5 π}{6})$
35260	Solve the System of Equations	7p=9(p+q)+11 9q+3=-4(7q+p)	$7 p = 9 (p + q) + 11$ $9 q + 3 = - 4 (7 q + p)$
35261	Solve the Rational Equation for h	square root of 2h+7=5	$\sqrt{2 h + 7} = 5$
35262	Find the Antiderivative	f(x)=3x^2sin(x^3+2003)	$f (x) = 3 x^{2} \sin (x^{3} + 2003)$
35263	Solve for x	(x-5)^2+(x-5)-2=0	${(x - 5)}^{2} + (x - 5) - 2 = 0$
35264	Evaluate the Integral	integral of (x-5)/(-2x+2) with respect to x	$\int \frac{x - 5}{- 2 x + 2} d x$
35265	Solve for x	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
35266	Solve the Inequality for a	10<6a-14	$10 < 6 a - 14$
35267	Simplify	((5t^-3)/(t^2))^-2*2/(t^-2)	${(\frac{5 t^{- 3}}{t^{2}})}^{- 2} \cdot \frac{2}{t^{- 2}}$
35268	Write the Fraction in Simplest Form	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
35269	Evaluate the Integral	integral of (8x^4-21x^3+10x^2)/x with respect to x	$\int \frac{8 x^{4} - 21 x^{3} + 10 x^{2}}{x} d x$
35270	Simplify	(6x-18)/(x^2-4)*(x^2+5x+6)/(x^2-9)	$\frac{6 x - 18}{x^{2} - 4} \cdot \frac{x^{2} + 5 x + 6}{x^{2} - 9}$
35271	Graph	4x-10y=-20 6x-15y=-30	$4 x - 10 y = - 20$ $6 x - 15 y = - 30$
35272	Solve the System of Inequalities	8x+15<=4x-5 and -7x+2<-6x+3	$8 x + 15 \leq 4 x - 5$ and $- 7 x + 2 < - 6 x + 3$
35273	Find the Exact Value	cos(150 degrees )^2	$\cos^{2} (150 °)$
35274	Find the Parallel Line	What is an equation of the line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6 ?	What is an equation of the line that passes through the point $(- 2, - 4)$ and is parallel to the line $5 x - 2 y = 6$ ?
35275	Solve the Function Operation	f(x)=7(x^(1/5)-10) ; find f^-1(x)	$f (x) = 7 (x^{\frac{1}{5}} - 10)$ ; find $f^{- 1} (x)$
35276	Find the LCM	10 and 5	$10$ and $5$
35277	Simplify	1/6(4/5)^-2	$\frac{1}{6} {(\frac{4}{5})}^{- 2}$
35278	Simplify the Radical Expression	square root of 25+10 square root of 5+5	$\sqrt{25 + 10 \sqrt{5} + 5}$
35279	Find the Slope	(-5,-3) and (2,4)	$(- 5, - 3)$ and $(2, 4)$
35280	Solve for b	y=2cos(b(x-2))-1	$y = 2 \cos (b (x - 2)) - 1$
35281	Solve for θ	sin(theta)-sin(2theta)=0	$\sin (θ) - \sin (2 θ) = 0$
35282	Solve for x	e^(4x-2)>=16	$e^{4 x - 2} \geq 16$
35283	Evaluate the Limit	limit as x approaches 3 from the left of (\|x-3\|)/(3-x)	$lim_{x \to 3^{-}} \frac{\| x - 3 \|}{3 - x}$
35284	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-8x-5-x^4+8x^3	$f (x) = - 8 x - 5 - x^{4} + 8 x^{3}$
35285	Find the Slope	Find the slope of the line passing through the points (-6,-5) and (4,4)	Find the slope of the line passing through the points $(- 6, - 5)$ and $(4, 4)$
35286	Find the End Behavior	y=x^3-4x^2+3x-12	$y = x^{3} - 4 x^{2} + 3 x - 12$
35287	Find the Roots (Zeros)	y=(x-3)(x-1)(2x-1)	$y = (x - 3) (x - 1) (2 x - 1)$
35288	Simplify	2^-1(x/y)^0	$2^{- 1} {(\frac{x}{y})}^{0}$
35289	Solve the Rational Equation for x	(8x)/(x+1)-2=-8/(x+1)	$\frac{8 x}{x + 1} - 2 = - \frac{8}{x + 1}$
35290	Simplify	(40x^3y^9)/((2x^6y^-10)^-3)	$\frac{40 x^{3} y^{9}}{{(2 x^{6} y^{- 10})}^{- 3}}$
35291	Simplify	(a/b)/c	$\frac{(\frac{a}{b})}{c}$
35292	Find the Distance Between Two Points	(7,2) and (-1,-3)	$(7, 2)$ and $(- 1, - 3)$
35293	Evaluate Using the Given Value	1/2x^4-3/4x^2 for x=2	$\frac{1}{2} x^{4} - \frac{3}{4} x^{2}$ for $x = 2$
35294	Find the Antiderivative	x^3*e^(x^2)	$x^{3} \cdot e^{x^{2}}$
35295	Solve the Inequality for q	q-12>=-13	$q - 12 \geq - 13$
35296	Simplify	1/(1/x+1/(x+1))	$\frac{1}{\frac{1}{x} + \frac{1}{x + 1}}$
35297	Solve for x	3x=x^2-4	$3 x = x^{2} - 4$
35298	Solve for x	4=6/(2x-3)	$4 = \frac{6}{2 x - 3}$
35299	Multiply	cube root of x* cube root of x^2	$\sqrt[3]{x} \cdot \sqrt[3]{x^{2}}$
35300	Add	4a-3b+2c and -6a+4b-2c-2	$4 a - 3 b + 2 c$ and $- 6 a + 4 b - 2 c - 2$