Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19401	Evaluate	13+((4^3)÷2)*5-17	$13 + (4^{3} \div 2) \cdot 5 - 17$
19402	Solve for x	7- square root of x-4=-6	$7 - \sqrt{x - 4} = - 6$
19403	Solve for k	(k+1)(k-1)=8	$(k + 1) (k - 1) = 8$
19404	Solve for x	4(x-2 1/4)=-3.7	$4 (x - 2 \frac{1}{4}) = - 3.7$
19405	Solve for b	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
19406	Factor	-8x(3x-7)^(-3/5)-3(3x-7)^(2/5)	$- 8 x {(3 x - 7)}^{- \frac{3}{5}} - 3 {(3 x - 7)}^{\frac{2}{5}}$
19407	Simplify	(m^3n^-5m^-1)^-3	${(m^{3} n^{- 5} m^{- 1})}^{- 3}$
19408	Solve the Inequality for x	square root of 2x+14-6>=4	$\sqrt{2 x + 14} - 6 \geq 4$
19409	Find the Holes in the Graph	(2x^2-8x-24)/(x^2-36)	$\frac{2 x^{2} - 8 x - 24}{x^{2} - 36}$
19410	Evaluate the Integral	integral of ( square root of x^4- fifth root of x^8) with respect to x	$\int (\sqrt{x^{4}} - \sqrt[5]{x^{8}}) d x$
19411	Solve the Function Operation	f(x)=( cube root of x+8)/7 ; find f^-1(x)	$f (x) = \frac{\sqrt[3]{x + 8}}{7}$ ; find $f^{- 1} (x)$
19412	Solve the Absolute Value Inequality for n	4\|n+8\|=56	$4 \| n + 8 \| = 56$
19413	Simplify	(x^2+14x+33)/(4x)(x^2-3x)/(x+3)(8x-56)/(x^2+4x-77)	$\frac{x^{2} + 14 x + 33}{4 x} \cdot \frac{x^{2} - 3 x}{x + 3} \cdot \frac{8 x - 56}{x^{2} + 4 x - 77}$
19414	Simplify the Radical Expression	1/2 square root of 4x-1/3 square root of 9x+1/4 square root of 64	$\frac{1}{2} \sqrt{4 x} - \frac{1}{3} \sqrt{9 x} + \frac{1}{4} \sqrt{64}$
19415	Find the Derivative - d/dx	2e^x-x+5sin(x)-12	$2 e^{x} - x + 5 \sin (x) - 12$
19416	Solve the Inequality for x	x+2>3x-8	$x + 2 > 3 x - 8$
19417	Evaluate the Limit	limit as x approaches negative infinity of (5x)/(x^2-10x+3)	$lim_{x \to - \infty} \frac{5 x}{x^{2} - 10 x + 3}$
19418	Find Where Increasing/Decreasing	f(x)=- natural log of x+5	$f (x) = - \ln (x + 5)$
19419	Evaluate	(5m^-1n^2)(-3m^3n)	$(5 m^{- 1} n^{2}) (- 3 m^{3} n)$
19420	Simplify the Radical Expression	( cube root of 32x^3y^6)/( cube root of 2x^9y^2)	$\frac{\sqrt[3]{32 x^{3} y^{6}}}{\sqrt[3]{2 x^{9} y^{2}}}$
19421	Simplify	((6x)/5)÷(9/(5x^2))	$\frac{6 x}{5} \div \frac{9}{5 x^{2}}$
19422	Evaluate the Limit	limit as x approaches 0 of (sin(1/2x))/x	$lim_{x \to 0} \frac{\sin (\frac{1}{2} x)}{x}$
19423	Rationalize the Denominator	( square root of 8)/( square root of 3)	$\frac{\sqrt{8}}{\sqrt{3}}$
19424	Divide	( cube root of 32x^3y^6)/( cube root of 2x^9y^2)	$\frac{\sqrt[3]{32 x^{3} y^{6}}}{\sqrt[3]{2 x^{9} y^{2}}}$
19425	Simplify	square root of (3+x)/10	$\sqrt{\frac{3 + x}{10}}$
19426	Solve for x	-6+\|x-4\|=-6	$- 6 + \| x - 4 \| = - 6$
19427	Simplify	(3-4x-4x^2)/(2x^2-7x+3)	$\frac{3 - 4 x - 4 x^{2}}{2 x^{2} - 7 x + 3}$
19428	Solve the Inequality for s	s-10<=1	$s - 10 \leq 1$
19429	Simplify	(x-y)(x+y)(x^2+y^2)	$(x - y) (x + y) (x^{2} + y^{2})$
19430	Find dy/dx	xy-2x^2-y=-3	$x y - 2 x^{2} - y = - 3$
19431	Graph	y=-x+6 y=5	$y = - x + 6$ $y = 5$
19432	Divide Using Long Polynomial Division	(4x^3-3x^2+20x-20)÷(4x-3)	$(4 x^{3} - 3 x^{2} + 20 x - 20) \div (4 x - 3)$
19433	Solve for x	1/2kx^2=mgx	$\frac{1}{2} k x^{2} = mg x$
19434	Find the Square Roots of a Complex Number	5+2i	$5 + 2 i$
19435	Find the Exact Value	tan(pi/4)-sin(pi/6)	$\tan (\frac{π}{4}) - \sin (\frac{π}{6})$
19436	Solve the Inequality for p	12p<96	$12 p < 96$
19437	Find the Domain	(ab-b)/a-(ab-a)/b-(a^2-b^2)/(ab)	$\frac{a b - b}{a} - \frac{a b - a}{b} - \frac{a^{2} - b^{2}}{a b}$
19438	Find the Antiderivative	3/( cube root of 2x-1)	$\frac{3}{\sqrt[3]{2 x - 1}}$
19439	Solve the Inequality for m	m/4-3/20<=m/5+1	$\frac{m}{4} - \frac{3}{20} \leq \frac{m}{5} + 1$
19440	Solve by Substitution	x-3y=-15 and x=-3	$x - 3 y = - 15$ and $x = - 3$
19441	Write in Slope-Intercept Form	y-x<=3	$y - x \leq 3$
19442	Solve for x	(x-2)^2=x	${(x - 2)}^{2} = x$
19443	Simplify	(3+4)^2-32	${(3 + 4)}^{2} - 32$
19444	Write in y=mx+b Form	(-3,-28) , (0,-4) , (4,168) , (-5,-174)	$(- 3, - 28)$ , $(0, - 4)$ , $(4, 168)$ , $(- 5, - 174)$
19445	Evaluate	7(3x+6)=11-(x+2)	$7 (3 x + 6) = 11 - (x + 2)$
19446	Simplify	(5+i^10)(7-i)	$(5 + i^{10}) (7 - i)$
19447	Find dy/dx	(x^3+3y)^5=4y^3	${(x^{3} + 3 y)}^{5} = 4 y^{3}$
19448	Find the Derivative - d/dx	((x+1)^2)/(x^2+8)	$\frac{{(x + 1)}^{2}}{x^{2} + 8}$
19449	Factor	3x^(7/2)-27x^(3/2)	$3 x^{\frac{7}{2}} - 27 x^{\frac{3}{2}}$
19450	Find the Holes in the Graph	f(x)=(x^2-7x)/(x-7)	$f (x) = \frac{x^{2} - 7 x}{x - 7}$
19451	Solve the System of Equations	-7x+5y=14 and 6x-7y=7	$- 7 x + 5 y = 14$ and $6 x - 7 y = 7$
19452	Solve by Addition/Elimination	x-2y=-14 y=-4x-2	$x - 2 y = - 14$ $y = - 4 x - 2$
19453	Simplify	( square root of 3)÷( cube root of 2)	$\sqrt{3} \div \sqrt[3]{2}$
19454	Solve the Function Operation	If f(x)=x^2+1 and g(x) = square root of 2x+3 ; find (fog)(x)	If $f (x) = x^{2} + 1$ and $g (x) = \sqrt{2 x + 3}$ ; find $((f \circ g)) (x)$
19455	Solve the Absolute Value Inequality for x	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
19456	Write in Slope-Intercept Form	(-3,9) and (0,1)	$(- 3, 9)$ and $(0, 1)$
19457	Simplify	1/( square root of 2)+3/( square root of 8)+6/( square root of 32)	$\frac{1}{\sqrt{2}} + \frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}$
19458	Divide Using Synthetic Division	(2x^5-3x^3+x)/(x-3)	$\frac{2 x^{5} - 3 x^{3} + x}{x - 3}$
19459	Simplify the Matrix	(a^3b^-2)/(ab^-4) , a!=0 , b!=0	$\frac{a^{3} b^{- 2}}{a b^{- 4}}$ , $a \neq 0$ , $b \neq 0$
19460	Simplify the Radical Expression	square root of fourth root of 256z^8	$\sqrt{\sqrt[4]{256 z^{8}}}$
19461	Find the Parabola with Vertex (-4,0) and Directrix x=4	vertex (-4,0) directrix x=4	vertex $(- 4, 0)$ directrix $x = 4$
19462	Simplify	(m^(1/5)n^(-1/7))/(m^(-1/4)n^(2/7))	$\frac{m^{\frac{1}{5}} n^{- \frac{1}{7}}}{m^{- \frac{1}{4}} n^{\frac{2}{7}}}$
19463	Simplify	(3x^2y^-5)/( cube root of 64xy^3)	$\frac{3 x^{2} y^{- 5}}{\sqrt[3]{64 x y^{3}}}$
19464	Graph	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
19465	Simplify	(-10xy^2)(-2x^4y)^3	$(- 10 x y^{2}) {(- 2 x^{4} y)}^{3}$
19466	Simplify	((12p^2)/(7d^4))÷((6p^3)/(35d^2))	$\frac{12 p^{2}}{7 d^{4}} \div \frac{6 p^{3}}{35 d^{2}}$
19467	Solve the System of Equations	y=-x^2-3x+2 y=x+6	$y = - x^{2} - 3 x + 2$ $y = x + 6$
19468	Evaluate	(a^-7*b^-2)^-9	${(a^{- 7} \cdot b^{- 2})}^{- 9}$
19469	Find the Product	(x^22)(x^7)^3	$(x^{22}) {(x^{7})}^{3}$
19470	Solve the System of Equations	y-5=x x=-2-y	$y - 5 = x$ $x = - 2 - y$
19471	Find the Derivative Using Chain Rule - d/dx	y=((x-5)/(2x+1))^3	$y = {(\frac{x - 5}{2 x + 1})}^{3}$
19472	Find the x and y Intercepts	y=(x-2)^3(x+3)^2	$y = {(x - 2)}^{3} {(x + 3)}^{2}$
19473	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-2) and has a slope of 4 ?	What is the equation of the line that passes through the point $(- 2, - 2)$ and has a slope of $4$ ?
19474	Solve the Inequality for x	2 square root of x+3<=8	$2 \sqrt{x + 3} \leq 8$
19475	Write in Standard Form	11t+2t^2-3+t^5	$11 t + 2 t^{2} - 3 + t^{5}$
19476	Simplify	(a^2-b^2)/(a^2-3a)*(2a-6)/((a+b)^2)	$\frac{(a^{2} - b^{2})}{a^{2} - 3 a} \cdot \frac{(2 a - 6)}{{(a + b)}^{2}}$
19477	Solve the Function Operation	f(x)=-x-4 g(x)=2x^2+4x+11 Find: (fog)(x)	$f (x) = - x - 4$ $g (x) = 2 x^{2} + 4 x + 11$ Find: $((f \circ g)) (x)$
19478	Find the Domain and Range	e^(x^2)	$e^{x^{2}}$
19479	Solve for x	-3x^2+297=0	$- 3 x^{2} + 297 = 0$
19480	Simplify	(d^2)/(b^0d^2)	$\frac{d^{2}}{b^{0} d^{2}}$
19481	Solve for x	2=4/x+1/3	$2 = \frac{4}{x} + \frac{1}{3}$
19482	Solve for h	1/2mv^2=mgh	$\frac{1}{2} m v^{2} = mg h$
19483	Evaluate the Integral	integral of sin(x)^2*cos(x) with respect to x	$\int \sin^{2} (x) \cdot \cos (x) d x$
19484	Add	3x^2-5x+12 5x^2+x-11	$3 x^{2} - 5 x + 12$ $5 x^{2} + x - 11$
19485	Simplify	((3 square root of 16)^-1)/2	$\frac{{(3 \sqrt{16})}^{- 1}}{2}$
19486	Simplify	(x^2+6x+9)^(1/2)	${(x^{2} + 6 x + 9)}^{\frac{1}{2}}$
19487	Evaluate	(5-2i)+(-7+8i)	$(5 - 2 i) + (- 7 + 8 i)$
19488	Simplify	((-14)^6)/((-14)^9)	$\frac{{(- 14)}^{6}}{{(- 14)}^{9}}$
19489	Solve for m	-7+1/6m=5	$- 7 + \frac{1}{6} m = 5$
19490	Simplify	(x^(1/3))(x^(1/6))	$(x^{\frac{1}{3}}) (x^{\frac{1}{6}})$
19491	Find the Derivative - d/dx	cos(pi/2x)	$\cos (\frac{π}{2} x)$
19492	Simplify	(x-2)/(x^2+5x+6)-5/(x+3)	$\frac{x - 2}{x^{2} + 5 x + 6} - \frac{5}{x + 3}$
19493	Write in Standard Form	y=6-2x-4x^2+5x^3	$y = 6 - 2 x - 4 x^{2} + 5 x^{3}$
19494	Subtract	(-10x^2+14)-(-x^3-9x^2)	$(- 10 x^{2} + 14) - (- x^{3} - 9 x^{2})$
19495	Solve the Inequality for x	-1/2x+1/3>3/5	$- \frac{1}{2} x + \frac{1}{3} > \frac{3}{5}$
19496	Graph	-1/3(k+3)<=6	$- \frac{1}{3} (k + 3) \leq 6$
19497	Simplify the Radical Expression	(3 square root of -16)(-9 square root of -100)	$(3 \sqrt{- 16}) (- 9 \sqrt{- 100})$
19498	Find All Complex Solutions	2e=2	$2 e = 2$
19499	Graph	f(x)=-x^2-1,x<0; x^2+1,x>=0	$f (x) = {\begin{cases} - x^{2} - 1, x < 0 \\ x^{2} + 1, x \geq 0 \end{cases}$
19500	Simplify	(6b)^(-4/3)	${(6 b)}^{\frac{- 4}{3}}$