Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36501	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,1) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 2, 1)$ and has a slope of $\frac{3}{2}$ ?
36502	Graph	r(x)=2+(x+1)/(x-3)	$r (x) = 2 + \frac{x + 1}{x - 3}$
36503	Find the x and y Intercepts	f(x)=-1/3x^6	$f (x) = - \frac{1}{3} x^{6}$
36504	Simplify	x/2*x/2	$\frac{x}{2} \cdot \frac{x}{2}$
36505	Simplify the Radical Expression	cube root of -500/(x^12)	$\sqrt[3]{\frac{- 500}{x^{12}}}$
36506	Factor by Grouping	a^2-25b^2	$a^{2} - 25 b^{2}$
36507	Find the Derivative - d/dx	4^(3x^2)	$4^{3 x^{2}}$
36508	Divide	( fourth root of 32)÷( fourth root of 2)	$\sqrt[4]{32} \div \sqrt[4]{2}$
36509	Solve for x	h=4(x+3y)+2	$h = 4 (x + 3 y) + 2$
36510	Find the Asymptotes	(3x(5x+4))/((5x-3)(x+2))	$\frac{3 x (5 x + 4)}{(5 x - 3) (x + 2)}$
36511	Graph	5x-y<-6 3x-y>=4	$5 x - y < - 6$ $3 x - y \geq 4$
36512	Expand Using the Binomial Theorem	( square root of a+ square root of b)^12	${(\sqrt{a} + \sqrt{b})}^{12}$
36513	Graph	-9<\|x-8\|	$- 9 < \| x - 8 \|$
36514	Factor	(21x^2+28x)	$(21 x^{2} + 28 x)$
36515	Add	y/(y^2-9)+5/(y^2-9)	$\frac{y}{y^{2} - 9} + \frac{5}{y^{2} - 9}$
36516	Evaluate the Limit	limit as t approaches 0 of (sin(t))/(e^(3t)-1)	$lim_{t \to 0} \frac{\sin (t)}{e^{3 t} - 1}$
36517	Solve the Rational Equation for a	3 square root of 4a=42	$3 \sqrt{4 a} = 42$
36518	Simplify	(-4/2)^2	${(- \frac{4}{2})}^{2}$
36519	Integrate Using u-Substitution	integral from 3 to 4 of x square root of x-3 with respect to x	$\int_{3}^{4} x \sqrt{x - 3} d x$
36520	Convert to Scientific Notation	(10^6)/(10^3)	$\frac{10^{6}}{10^{3}}$
36521	Integrate By Parts	integral of 1/(x natural log of x) with respect to x	$\int \frac{1}{x \ln (x)} d x$
36522	Multiply	(x^2+x+3)(x^3-x^2+4)	$(x^{2} + x + 3) (x^{3} - x^{2} + 4)$
36523	Write in Standard Form	(x-3)(x-3)(x-3)	$(x - 3) (x - 3) (x - 3)$
36524	Simplify	(3c^2-7)+(4c+7)-(c^2+5c-8)	$(3 c^{2} - 7) + (4 c + 7) - (c^{2} + 5 c - 8)$
36525	Find the Inverse	f(x)=2*3^(2x)+4	$f (x) = 2 \cdot 3^{2 x} + 4$
36526	Solve the Function Operation	Given that f(x)=x^2-11x+28 and g(x)=x-4 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 11 x + 28$ and $g (x) = x - 4$ ; find $f (x) - g (x)$ and express the result in standard form.
36527	Multiply	(6c^2+13c-63)/(6c^2-17c+7)*(2c^2-9c+4)/(12c+54)	$\frac{6 c^{2} + 13 c - 63}{6 c^{2} - 17 c + 7} \cdot \frac{2 c^{2} - 9 c + 4}{12 c + 54}$
36528	Find the Slope of the Tangent Line at x=4	y=9x^(5/2)-7x^(3/2) , x=4	$y = 9 x^{\frac{5}{2}} - 7 x^{\frac{3}{2}}$ , $x = 4$
36529	Simplify	((8k^-5)(2k^3))/(4k^-6)	$\frac{(8 k^{- 5}) (2 k^{3})}{4 k^{- 6}}$
36530	Solve the Inequality for a	(a-1)/a<0	$\frac{a - 1}{a} < 0$
36531	Find the Exact Value	1+tan(pi/6)^2	$1 + \tan^{2} (\frac{π}{6})$
36532	Find the Domain	1+x+(x^2)/(1-x)=1/(1-x)	$1 + x + \frac{x^{2}}{1 - x} = \frac{1}{1 - x}$
36533	Simplify	(5x)/(2x^2-6x)-(2x)/(x^2-3x)	$\frac{5 x}{2 x^{2} - 6 x} - \frac{2 x}{x^{2} - 3 x}$
36534	Solve for g	-9-5(10g-3)<=3g-6+8	$- 9 - 5 (10 g - 3) \leq 3 g - 6 + 8$
36535	Factor	a^2x+3ax+2x-a^2y-3ay-2y	$a^{2} x + 3 a x + 2 x - a^{2} y - 3 a y - 2 y$
36536	Factor	x^2-4x+4=20	$x^{2} - 4 x + 4 = 20$
36537	Simplify	(4^05^-26^-1*100^0)/(2^-1)	$\frac{4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0}}{2^{- 1}}$
36538	Divide	((x^2+x-12)/(9x^2-1))÷((x^2-5x+6)/(3x^2-5x-2))	$\frac{x^{2} + x - 12}{9 x^{2} - 1} \div \frac{x^{2} - 5 x + 6}{3 x^{2} - 5 x - 2}$
36539	Simplify	((2x^2+7x-4)/(x^2+8x+15))÷((x+4)/(x^2+10x+25))	$\frac{2 x^{2} + 7 x - 4}{x^{2} + 8 x + 15} \div \frac{x + 4}{x^{2} + 10 x + 25}$
36540	Solve for a	3/7+a=4/7	$\frac{3}{7} + a = \frac{4}{7}$
36541	Solve the Function Operation	f(x)=((x+7)^(1/3))/3 ; find f^-1(x)	$f (x) = \frac{{(x + 7)}^{\frac{1}{3}}}{3}$ ; find $f^{- 1} (x)$
36542	Write in Slope-Intercept Form	-x/5+(2y)/3=-6 1/6	$- \frac{x}{5} + \frac{2 y}{3} = - 6 \frac{1}{6}$
36543	Solve by Completing the Square	y=x^2+8x+25	$y = x^{2} + 8 x + 25$
36544	Solve for x	2csc(x)cot(x)=4/3	$2 \csc (x) \cot (x) = \frac{4}{3}$
36545	Describe the Transformation	f(x)=- square root of 5x	$f (x) = - \sqrt{5 x}$
36546	Find the Excluded Values	1/(x-1)+5=11/(x-1)	$\frac{1}{x - 1} + 5 = \frac{11}{x - 1}$
36547	Solve the System of Inequalities	4x+5y>=-6 -2x+7y>=20	$4 x + 5 y \geq - 6$ $- 2 x + 7 y \geq 20$
36548	Solve for θ in Radians	sec(theta)+1=0	$\sec (θ) + 1 = 0$
36549	Simplify	(y^2-2y-15)/(4y^2+8y)*(4y-20)/(y+3)	$\frac{y^{2} - 2 y - 15}{4 y^{2} + 8 y} \cdot \frac{4 y - 20}{y + 3}$
36550	Simplify	square root of -1+2	$\sqrt{- 1} + 2$
36551	Simplify	(4x^-2y^(7/2))/( square root of 16xy^3)	$\frac{4 x^{- 2} y^{\frac{7}{2}}}{\sqrt{16 x y^{3}}}$
36552	Solve for x	2x+e^x=0	$2 x + e^{x} = 0$
36553	Solve by Substitution	y=4x+2 and y=3x+1	$y = 4 x + 2$ and $y = 3 x + 1$
36554	Divide	(9x^5y)/(3x^6y^7)	$\frac{9 x^{5} y}{3 x^{6} y^{7}}$
36555	Solve for x	x-1=1/2	$x - 1 = \frac{1}{2}$
36556	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x=2	$x^{2} + x = 2$
36557	Simplify	(27xy^2z^2)(-3x^5y^3)	$(27 x y^{2} z^{2}) (- 3 x^{5} y^{3})$
36558	Solve the System of Equations	-x-y=-9 and -3x-2y=-28	$- x - y = - 9$ and $- 3 x - 2 y = - 28$
36559	Write the Fraction in Simplest Form	((-2hk^4)^3)/(2h^-8k^-8)	$\frac{{(- 2 h k^{4})}^{3}}{2 h^{- 8} k^{- 8}}$
36560	Multiply	6 square root of 3* square root of 3*4 square root of 4	$6 \sqrt{3} \cdot \sqrt{3} \cdot 4 \sqrt{4}$
36561	Find the Roots (Zeros)	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
36562	Graph	The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?	The graph of $y = f (x)$ is the solid black graph below. Which function represents the dotted graph?
36563	Simplify	8x^6y(2x^-1y)^3	$8 x^{6} y {(2 x^{- 1} y)}^{3}$
36564	Factor	x^2-(y+4)x-(2y^2+y-3)	$x^{2} - (y + 4) x - (2 y^{2} + y - 3)$
36565	Evaluate	(- cube root of -18)^2	${(- \sqrt[3]{- 18})}^{2}$
36566	Simplify	i^8-i^9+i^10	$i^{8} - i^{9} + i^{10}$
36567	Simplify	( square root of 2+ square root of 3)/( square root of 3- square root of 8)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3} - \sqrt{8}}$
36568	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,6) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(8, 6)$ and has a slope of $\frac{3}{2}$ ?
36569	Solve for x	square root of 5+x=x^2	$\sqrt{5} + x = x^{2}$
36570	Find All Complex Solutions	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
36571	Find the Possible Factors	factors of 50	factors of $50$
36572	Solve the Inequality for x	10^(2x+7)>=1000^x	$10^{2 x + 7} \geq 1000^{x}$
36573	Evaluate the Integral	integral from -2 to -(2 square root of 3)/3 of 9/(x square root of 4x^2-4) with respect to x	$\int_{- 2}^{- \frac{2 \sqrt{3}}{3}} \frac{9}{x \sqrt{4 x^{2} - 4}} d x$
36574	Graph	y>1/2x+1 y+3x<=6	$y > \frac{1}{2} x + 1$ $y + 3 x \leq 6$
36575	Simplify	7(x+y)-7x	$7 (x + y) - 7 x$
36576	Find the Axis of Symmetry	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
36577	Solve for x	cos(x)^2=sin(x)	$\cos^{2} (x) = \sin (x)$
36578	Find All Complex Solutions	4(y-3)+19=8(2y+3)+7	$4 (y - 3) + 19 = 8 (2 y + 3) + 7$
36579	Simplify the Radical Expression	25 square root of 7(2 square root of 2)	$25 \sqrt{7} (2 \sqrt{2})$
36580	Solve for x	(x+8)/10=0	$\frac{x + 8}{10} = 0$
36581	Factor	x^4-x^2+2x+2	$x^{4} - x^{2} + 2 x + 2$
36582	Evaluate	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
36583	Evaluate the Integral	integral of (x^3)/((x+1)^2) with respect to x	$\int \frac{x^{3}}{{(x + 1)}^{2}} d x$
36584	Graph	4<1+n/7	$4 < 1 + \frac{n}{7}$
36585	Write in Standard Form	(3-z^5)/3	$\frac{3 - z^{5}}{3}$
36586	Solve for y	-12/y=y-7	$\frac{- 12}{y} = y - 7$
36587	Simplify	((4^2)^-1)/(4^-1)	$\frac{{(4^{2})}^{- 1}}{4^{- 1}}$
36588	Solve for r	25+r=-5(2+8r)+6r	$25 + r = - 5 (2 + 8 r) + 6 r$
36589	Expand Using Sum/Difference Formulas	(4+x)(4-x)	$(4 + x) (4 - x)$
36590	Verify the Identity	(x+3)^2(x^3+3x^2+3x+1)=(x^2+6x+9)(x+1)^3	${(x + 3)}^{2} (x^{3} + 3 x^{2} + 3 x + 1) = (x^{2} + 6 x + 9) {(x + 1)}^{3}$
36591	Solve for w	96+2w=2(80-3w)	$96 + 2 w = 2 (80 - 3 w)$
36592	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+14x^3+13x^2+24x+16 is divided by x+4	Use synthetic division to find the result when $3 x^{4} + 14 x^{3} + 13 x^{2} + 24 x + 16$ is divided by $x + 4$
36593	Simplify the Radical Expression	cube root of -1/125	$\sqrt[3]{- \frac{1}{125}}$
36594	Evaluate the Integral	integral of (12x^4+14x^3+x^2)/(x^2) with respect to x	$\int \frac{12 x^{4} + 14 x^{3} + x^{2}}{x^{2}} d x$
36595	Simplify	square root of (80x^3)/(25y^2)	$\sqrt{\frac{80 x^{3}}{25 y^{2}}}$
36596	Simplify the Radical Expression	square root of a/b	$\sqrt{\frac{a}{b}}$
36597	Solve the System of Equations	y=-2/3x+2 2x+3y=6	$y = - \frac{2}{3} x + 2$ $2 x + 3 y = 6$
36598	Solve by Substitution	1/3x-y=3 2x+y=25	$\frac{1}{3} x - y = 3$ $2 x + y = 25$
36599	Simplify the Radical Expression	square root of 36ab^4c^5	$\sqrt{36 a b^{4} c^{5}}$
36600	Evaluate	2/3(4)^(3/2)-4(4)^(1/2)	$\frac{2}{3} {(4)}^{\frac{3}{2}} - 4 {(4)}^{\frac{1}{2}}$