Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42401	Find the Distance Between Two Points	(0,-1) and (3,-5)	$(0, - 1)$ and $(3, - 5)$
42402	Write the Fraction in Simplest Form	(-4(m^-3z^4)^2)/(12m^-4z^-1)	$\frac{- 4 {(m^{- 3} z^{4})}^{2}}{12 m^{- 4} z^{- 1}}$
42403	Simplify	( square root of -1)/((3+8i)-(2+5i))	$\frac{\sqrt{- 1}}{(3 + 8 i) - (2 + 5 i)}$
42404	Solve for x	3x^2+9x=-6	$3 x^{2} + 9 x = - 6$
42405	Solve for x	x/(-1/6)=6/7	$\frac{x}{- \frac{1}{6}} = \frac{6}{7}$
42406	Solve the Inequality for r	3r+2(12r+7)<=5r-8	$3 r + 2 (12 r + 7) \leq 5 r - 8$
42407	Solve the Rational Equation for x	2 = square root of 3x+34	$2 = \sqrt{3 x + 34}$
42408	Simplify	(5xy)^2*4x^5	${(5 x y)}^{2} \cdot 4 x^{5}$
42409	Evaluate	2pi*360/(16pi)	$2 π \cdot \frac{360}{16 π}$
42410	Find the Axis of Symmetry	f(x)=-1/2(x+3)^2	$f (x) = - \frac{1}{2} {(x + 3)}^{2}$
42411	Solve for a	h(a)=9a^2+46a ; solve for h(a)=-5	$h (a) = 9 a^{2} + 46 a$ ; solve for $h (a) = - 5$
42412	Solve by Graphing	y=x y=-x+6	$y = x$ $y = - x + 6$
42413	Find the Roots (Zeros)	2x^(4/3)-x^(2/3)-6=0	$2 x^{\frac{4}{3}} - x^{\frac{2}{3}} - 6 = 0$
42414	Find the Equation Given the Roots	-3 and 5	$- 3$ and $5$
42415	Simplify the Radical Expression	fourth root of 9/(2x^2)	$\sqrt[4]{\frac{9}{2 x^{2}}}$
42416	Evaluate	(-2)^-3(-24)	${(- 2)}^{- 3} (- 24)$
42417	Solve for x	2/x+6/(x-1)=6/(x^2-x)	$\frac{2}{x} + \frac{6}{x - 1} = \frac{6}{x^{2} - x}$
42418	Find the Antiderivative	(3x^2+5x-1)/(x-2)	$\frac{3 x^{2} + 5 x - 1}{x - 2}$
42419	Find Amplitude, Period, and Phase Shift	y=-1/2cos(x/4+(2pi)/3)-4	$y = - \frac{1}{2} \cos (\frac{x}{4} + \frac{2 π}{3}) - 4$
42420	Multiply	7/81/53/7	$\frac{7}{8} \cdot \frac{1}{5} \cdot \frac{3}{7}$
42421	Write in Standard Form	-3n(n^2-2n+8)	$- 3 n (n^{2} - 2 n + 8)$
42422	Graph	(A intersect B) union C	$(A \cap B) \cup C$
42423	Simplify	(a^3b^(-1/2))^4	${(a^{3} b^{- \frac{1}{2}})}^{4}$
42424	Simplify	((3x^2y^5)/(2x^-1y^-2))^2	${(\frac{3 x^{2} y^{5}}{2 x^{- 1} y^{- 2}})}^{2}$
42425	Simplify	8x-12-(-5x)+7	$8 x - 12 - (- 5 x) + 7$
42426	Simplify the Radical Expression	square root of 10* square root of 10^3	$\sqrt{10} \cdot \sqrt{10^{3}}$
42427	Graph	y<=x-1 y>=-3	$y \leq x - 1$ $y \geq - 3$
42428	Solve for x	3x^3+7=216	$3 x^{3} + 7 = 216$
42429	Divide	((x^2-4)/(5x+30))÷((x^2+11x+18)/(3x+27))	$\frac{x^{2} - 4}{5 x + 30} \div \frac{x^{2} + 11 x + 18}{3 x + 27}$
42430	Divide	(x^4-1)/(x^2-1)	$\frac{x^{4} - 1}{x^{2} - 1}$
42431	Simplify	x/( square root of x-x)	$\frac{x}{\sqrt{x} - x}$
42432	Evaluate	(cos(-0.1)-1)/-0.1	$\frac{\cos (- 0.1) - 1}{- 0.1}$
42433	Solve for m	m-62/3=41/3	$m - \frac{62}{3} = \frac{41}{3}$
42434	Write as a Single Logarithm	log base 7 of y-2( log base 7 of x+1/2 log base 7 of z)	$\log_{7} (y) - 2 (\log_{7} (x) + \frac{1}{2} \log_{7} (z))$
42435	Identify the Sequence	4 , 12 , 36 ; dots	$4$ , $12$ , $36$ ; dots
42436	Simplify	(72÷( square root of 100-4^2))/( cube root of 27)	$\frac{72 \div (\sqrt{100} - 4^{2})}{\sqrt[3]{27}}$
42437	Solve for x	2=3/5x-1/3x+2/5x	$2 = \frac{3}{5} x - \frac{1}{3} x + \frac{2}{5} x$
42438	Evaluate	10+3(12÷(3*2))	$10 + 3 (12 \div (3 \cdot 2))$
42439	Find the Exact Value	sin(pi/4)cos(pi/4)-tan(pi/3)	$\sin (\frac{π}{4}) \cos (\frac{π}{4}) - \tan (\frac{π}{3})$
42440	Evaluate	-8/9+1/3(-3/8)	$- \frac{8}{9} + \frac{1}{3} (- \frac{3}{8})$
42441	Convert to a Percentage	21 is what percent of 60	$21$ is what percent of $60$
42442	Add	(2x)/7+9/2	$\frac{2 x}{7} + \frac{9}{2}$
42443	Simplify	2^4-1/(2^-3)+5x^0-(3x^0y^2)^0	$2^{4} - \frac{1}{2^{- 3}} + 5 x^{0} - {(3 x^{0} y^{2})}^{0}$
42444	Rationalize the Denominator	( square root of xy)/( square root of x+ square root of y)	$\frac{\sqrt{x y}}{\sqrt{x} + \sqrt{y}}$
42445	Find the Antiderivative	[8(4^x)]	$[8 (4^{x})]$
42446	Evaluate	sin(45 degrees )+cos(45 degrees )	$\sin (45 °) + \cos (45 °)$
42447	Simplify	-5x^3y(3x^2y^2+15z)	$- 5 x^{3} y (3 x^{2} y^{2} + 15 z)$
42448	Simplify the Radical Expression	5^-3	$5^{- 3}$
42449	Solve for u	-6=-3/u	$- 6 = - \frac{3}{u}$
42450	Solve the Inequality for x	-x^2-64<=-16x	$- x^{2} - 64 \leq - 16 x$
42451	Simplify	(3 square root of 3-2 square root of 2)/( square root of 3- square root of 2)	$\frac{3 \sqrt{3} - 2 \sqrt{2}}{\sqrt{3} - \sqrt{2}}$
42452	Graph	Graph the line with the equation y=x+1	Graph the line with the equation $y = x + 1$
42453	Simplify	(x+2)/(x-3)+(x+2)/(x+5)	$\frac{x + 2}{x - 3} + \frac{x + 2}{x + 5}$
42454	Find Where Increasing/Decreasing	f(x)=- log base 3 of x+8	$f (x) = - \log_{3} (x + 8)$
42455	Simplify	square root of 1-1/36	$\sqrt{1 - \frac{1}{36}}$
42456	Find the Exact Value	csc(-495 degrees )	$\csc (- 495 °)$
42457	Solve the Rational Equation for x	-3 square root of x-8=19	$- 3 \sqrt{x} - 8 = 19$
42458	Solve for x	0.4(x+2)-0.6(x+2)=-0.2x-0.4	$0.4 (x + 2) - 0.6 (x + 2) = - 0.2 x - 0.4$
42459	Factor	(2x+7)^2-(7x+5)^2	${(2 x + 7)}^{2} - {(7 x + 5)}^{2}$
42460	Solve for x	h(-18)=17+x/6	$h (- 18) = 17 + \frac{x}{6}$
42461	Evaluate the Integral	integral of (-5x^-3+5x^5) with respect to x	$\int (- 5 x^{- 3} + 5 x^{5}) d x$
42462	Simplify	5*2^-3	$5 \cdot 2^{- 3}$
42463	Find Amplitude, Period, and Phase Shift	f(a)=5/3cos(4/5a)	$f (a) = \frac{5}{3} \cos (\frac{4}{5} a)$
42464	Evaluate	9*(2+4)^2-3	$9 \cdot {(2 + 4)}^{2} - 3$
42465	Simplify	( square root of 125+ square root of 20- square root of 45)/( square root of 10)*( square root of 2)/3	$\frac{(\sqrt{125} + \sqrt{20} - \sqrt{45})}{\sqrt{10}} \cdot \frac{\sqrt{2}}{3}$
42466	Solve the Inequality for r	5r-6>8r-18	$5 r - 6 > 8 r - 18$
42467	Simplify	((x^3+10x^2+25x)/(x^2+5x)*(x^2-64)/(x^2+13x+40))÷((x^2-x-56)/(x+7))	$\frac{x^{3} + 10 x^{2} + 25 x}{x^{2} + 5 x} \cdot \frac{x^{2} - 64}{x^{2} + 13 x + 40} \div \frac{x^{2} - x - 56}{x + 7}$
42468	Solve the Function Operation	If f(x)=6x+10 and g(x)=7x+11 ; what is (g-f)(x) ?	If $f (x) = 6 x + 10$ and $g (x) = 7 x + 11$ ; what is $(g - f) (x)$ ?
42469	Verify the Identity	(cos(x)-sin(x))/(sin(x)cos(x))=csc(x)-sec(x)	$\frac{\cos (x) - \sin (x)}{\sin (x) \cos (x)} = \csc (x) - \sec (x)$
42470	Find the Product	2/(x+1)*5/(3x)	$\frac{2}{x + 1} \cdot \frac{5}{3 x}$
42471	Expand the Trigonometric Expression	sin((3pi)/2+x)	$\sin (\frac{3 π}{2} + x)$
42472	Find the Complex Conjugate	-5/6-1/6i	$- \frac{5}{6} - \frac{1}{6} i$
42473	Multiply	cube root of -4* cube root of -54	$\sqrt[3]{- 4} \cdot \sqrt[3]{- 54}$
42474	Write in Standard Form	112a^3b^2	$112 a^{3} b^{2}$
42475	Simplify	3/4(z+2/5)+2z	$\frac{3}{4} (z + \frac{2}{5}) + 2 z$
42476	Simplify	6 square root of 8c^3d^5*4 square root of 2cd^3	$6 \sqrt{8 c^{3} d^{5}} \times 4 \sqrt{2 c d^{3}}$
42477	Simplify	(12 square root of 3)/(24 square root of 3)	$\frac{12 \sqrt{3}}{24 \sqrt{3}}$
42478	Subtract	10/(pr)-4/r	$\frac{10}{p r} - \frac{4}{r}$
42479	Simplify	2 1/4x+(4 1/3x-7 4/5)÷2 3/5	$2 \frac{1}{4} x + (4 \frac{1}{3} x - 7 \frac{4}{5}) \div 2 \frac{3}{5}$
42480	Multiply	2 square root of 3( square root of 27-8 square root of 6)	$2 \sqrt{3} (\sqrt{27} - 8 \sqrt{6})$
42481	Solve for r	2r^2+7r-1=-3r^2	$2 r^{2} + 7 r - 1 = - 3 r^{2}$
42482	Find the Exact Value	27^(-2/3)	$27^{\frac{- 2}{3}}$
42483	Evaluate the Function	Sales of 10 , 0 increase by 65% each yr	Sales of $10$ , $0$ increase by $65 %$ each $year$
42484	Simplify the Radical Expression	- square root of 6x^2+8x square root of 96	$- \sqrt{6 x^{2}} + 8 x \sqrt{96}$
42485	Convert to Radical Form	4K1/2	$4 K \frac{1}{2}$
42486	Find the Equation Using Point-Slope Formula	through: (2,-4) , slope=-1	through: $(2, - 4)$ , $s l o p e = - 1$
42487	Find All Complex Solutions	csc(theta) = square root of 2	$\csc (θ) = \sqrt{2}$
42488	Multiply	-x^2*-1	$- x^{2} \cdot - 1$
42489	Evaluate the Integral	Evaluate integral of -2x^-3 with respect to x	Evaluate $\int - 2 x^{- 3} d x$
42490	Evaluate	i^8i^31i^28	$i^{8} \cdot i^{31} \cdot i^{28}$
42491	Find the Maximum/Minimum Value	f(x)=-3/5x^5+9x^4-35x^3+6	$f (x) = - \frac{3}{5} x^{5} + 9 x^{4} - 35 x^{3} + 6$
42492	Solve the System of Equations	y=x^2-10x+12 2x+y=5	$y = x^{2} - 10 x + 12$ $2 x + y = 5$
42493	Find the Derivative - d/dx	y=2^(5x)*3^(4x^2)	$y = 2^{5 x} \cdot 3^{4 x^{2}}$
42494	Simplify	(-1x^5y^3)^2	${(- 1 x^{5} y^{3})}^{2}$
42495	Evaluate	(1-5(a-1))/24	$\frac{1 - 5 (a - 1)}{24}$
42496	Solve for x	(3x+26)=(x+20)	$(3 x + 26) = (x + 20)$
42497	Simplify	(x-y)/x*(2x^2)/(y(y-x))	$\frac{x - y}{x} \cdot \frac{2 x^{2}}{y (y - x)}$
42498	Solve the Inequality for x	square root of 2x+4+1>=5	$\sqrt{2 x + 4} + 1 \geq 5$
42499	Simplify	(6^2p^4r^6)/(2^4(p^2r)^2)	$\frac{6^{2} p^{4} r^{6}}{2^{4} {(p^{2} r)}^{2}}$
42500	Simplify	1/( cube root of 27^4)	$\frac{1}{\sqrt[3]{27^{4}}}$