Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19901	Write as a Single Logarithm	1-3 natural log of x+4 natural log of y+1/2 natural log of z	$1 - 3 \ln (x) + 4 \ln (y) + \frac{1}{2} \ln (z)$
19902	Simplify	(20n+11n^4)-(15n+16n^2-17n^4)	$(20 n + 11 n^{4}) - (15 n + 16 n^{2} - 17 n^{4})$
19903	Simplify/Condense	log of 3x- log of 10	$\log (3 x) - \log (10)$
19904	Multiply	-4mn^3*(-3m^2n+12mn^2-6m+7n^2)	$- 4 m n^{3} \cdot (- 3 m^{2} n + 12 m n^{2} - 6 m + 7 n^{2})$
19905	Expand the Logarithmic Expression	log of x/( cube root of yz^4)	$\log (\frac{x}{\sqrt[3]{y z^{4}}})$
19906	Convert from Degrees to Radians	480deg	$480$ degrees
19907	Solve using Gaussian Elimination	x+y+z=7 x-y+2z=7 2x+3z=14	$x + y + z = 7$ $x - y + 2 z = 7$ $2 x + 3 z = 14$
19908	Simplify	3^3x^4y^0	$3^{3} x^{4} y^{0}$
19909	Solve for b	-12b-8-18=-5(3b+1)	$- 12 b - 8 - 18 = - 5 (3 b + 1)$
19910	Solve the System of Inequalities	m+3>=5 and m+3<7	$m + 3 \geq 5$ and $m + 3 < 7$
19911	Solve for c	9(c-685)=35	$9 (c - 685) = 35$
19912	Solve the System of Equations	x+3y=-15 y=-7	$x + 3 y = - 15$ $y = - 7$
19913	Graph	(1+x)^(1/x)	${(1 + x)}^{\frac{1}{x}}$
19914	Solve for x	8-(x+8)/x=(x-5)/(4x)	$8 - \frac{x + 8}{x} = \frac{x - 5}{4 x}$
19915	Evaluate the Integral	integral of (cos(x)+3x^2) with respect to x	$\int (\cos (x) + 3 x^{2}) d x$
19916	Solve the System of Inequalities	x<2 and x>-2	$x < 2$ and $x > - 2$
19917	Evaluate	3(1/6x+9)=1/2x-27	$3 (\frac{1}{6} x + 9) = \frac{1}{2} x - 27$
19918	Evaluate the Limit	limit as x approaches 0 of (2x^2+x)/(5x)	$lim_{x \to 0} \frac{2 x^{2} + x}{5 x}$
19919	Convert from Radians to Degrees	sin(pi/4)	$\sin (\frac{π}{4})$
19920	Solve the System of Equations	x-3y=13 5x+6z=41 2x+4y-z=5	$x - 3 y = 13$ $5 x + 6 z = 41$ $2 x + 4 y - z = 5$
19921	Solve for x	\|x\|-2>0	$\| x \| - 2 > 0$
19922	Solve the Inequality for n	\|n/4\|<=3	$\| \frac{n}{4} \| \leq 3$
19923	Solve for x	2-3x<=20	$2 - 3 x \leq 20$
19924	Solve the System of Equations	y=-x^2+1 y=2x+2	$y = - x^{2} + 1$ $y = 2 x + 2$
19925	Solve for x	5/x=-3/(x+4)	$\frac{5}{x} = - \frac{3}{x + 4}$
19926	Find dy/dx	-y^2+y-x^2+y^3=1	$- y^{2} + y - x^{2} + y^{3} = 1$
19927	Find Amplitude, Period, and Phase Shift	y=3csc(2x)+3/2	$y = 3 \csc (2 x) + \frac{3}{2}$
19928	Simplify	(5(x^2y^2)^3)/((x^2y^2)^-2)	$\frac{5 {(x^{2} y^{2})}^{3}}{{(x^{2} y^{2})}^{- 2}}$
19929	Find the Domain and Range	f(x)=(3x^3+2x^2)/(x^2+x)	$f (x) = \frac{3 x^{3} + 2 x^{2}}{x^{2} + x}$
19930	Find the Domain and Range	- square root of x-1+4	$- \sqrt{x - 1} + 4$
19931	Simplify	(3+2yi)(4+5i)+(3+2yi)(3-5i)	$(3 + 2 y i) (4 + 5 i) + (3 + 2 y i) (3 - 5 i)$
19932	Solve the Inequality for x	1/4x-2<-1 1/2	$\frac{1}{4} x - 2 < - 1 \frac{1}{2}$
19933	Graph	(12/13,-5/13)	$(\frac{12}{13}, - \frac{5}{13})$
19934	Find dy/dx	-y^3+y^2=x^2	$- y^{3} + y^{2} = x^{2}$
19935	Write the Fraction in Simplest Form	(3(m)^3)/(2m^-9)	$\frac{3 {(m)}^{3}}{2 m^{- 9}}$
19936	Simplify	7x^2y-2xy^2-6x^2y+3xy^2-xy+8	$7 x^{2} y - 2 x y^{2} - 6 x^{2} y + 3 x y^{2} - x y + 8$
19937	Find the Asymptotes	y=((x+3)(x-4)(x+7))/(x-4)	$y = \frac{(x + 3) (x - 4) (x + 7)}{(x - 4)}$
19938	Solve the Inequality for x	9-x/4<0	$9 - \frac{x}{4} < 0$
19939	Find the Holes in the Graph	f(x)=(x^3+3x^2)/(x^2+2x-3)	$f (x) = \frac{x^{3} + 3 x^{2}}{x^{2} + 2 x - 3}$
19940	Solve for v	v^2=0	$v^{2} = 0$
19941	Evaluate	5^(x+1)=106	$5^{x + 1} = 106$
19942	Solve for x	3/4(x+5 1/2)=5/8	$\frac{3}{4} (x + 5 \frac{1}{2}) = \frac{5}{8}$
19943	Simplify	(6m^2n^2-11m^2n^4)+(-9m^2n^2-m^3n^3-10m^2)+(-10m^2n^4-5m^2n^2)	$(6 m^{2} n^{2} - 11 m^{2} n^{4}) + (- 9 m^{2} n^{2} - m^{3} n^{3} - 10 m^{2}) + (- 10 m^{2} n^{4} - 5 m^{2} n^{2})$
19944	Find the Possible Factors	factors of 49	factors of $49$
19945	Solve using Gaussian Elimination	2x-4y=4 x-2y=2	$2 x - 4 y = 4$ $x - 2 y = 2$
19946	Graph	y = cube root of (3x)/(4pi)	$y = \sqrt[3]{\frac{3 x}{4 π}}$
19947	Integrate Using u-Substitution	integral of (e^(arcsin(x)))/( square root of 1-x^2) with respect to x	$\int \frac{e^{\arcsin (x)}}{\sqrt{1 - x^{2}}} d x$
19948	Graph	h(x)=5+3x^2-x^4	$h (x) = 5 + 3 x^{2} - x^{4}$
19949	Expand Using Sum/Difference Formulas	sin(pi+x)	$\sin (π + x)$
19950	Solve the Inequality for d	\|d+1\|<=6	$\| d + 1 \| \leq 6$
19951	Factor	x(b^2-a)+6(b^2-a)	$x (b^{2} - a) + 6 (b^{2} - a)$
19952	Simplify	(x+(-17))(x+(-17))	$(x + (- 17)) (x + (- 17))$
19953	Write in Standard Form	x^3-3x^2y+3xy^2-y^3	$x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
19954	Simplify	fifth root of c/(8ab^4)	$\sqrt[5]{\frac{c}{8 a b^{4}}}$
19955	Simplify	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a \cdot 8 \sqrt{35 a^{2}}}$
19956	Solve the System of Inequalities	4x+4y<16 x>y+16	$4 x + 4 y < 16$ $x > y + 16$
19957	Simplify	( fourth root of x^4y^6* square root of x^6)/y	$\frac{\sqrt[4]{x^{4} y^{6}} \cdot \sqrt{x^{6}}}{y}$
19958	Solve for x	16x/2=64	$16 \frac{x}{2} = 64$
19959	Multiply	3xy^2*(2xy+3y^2-cx^3)	$3 x y^{2} \cdot (2 x y + 3 y^{2} - c x^{3})$
19960	Graph	y+4=-4/3x	$y + 4 = - \frac{4}{3} x$
19961	Simplify	x^(2y-5)*x^(y+8)	$x^{2 y - 5} \cdot x^{y + 8}$
19962	Write in Standard Form	(x^2+2x-2)(2x^2+x+1)	$(x^{2} + 2 x - 2) (2 x^{2} + x + 1)$
19963	Find the Integral	x square root of x^2+9	$x \sqrt{x^{2} + 9}$
19964	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+5x^3+x^2+2x+8 is divided by x+2	Use synthetic division to find the result when $2 x^{4} + 5 x^{3} + x^{2} + 2 x + 8$ is divided by $x + 2$
19965	Evaluate the Integral	integral of 1/2+3/4x^2-4/5x^3 with respect to x	$\int \frac{1}{2} + \frac{3}{4} x^{2} - \frac{4}{5} x^{3} d x$
19966	Evaluate	(2x)/3-(5x)/9-x/6-(5x)/12=13/2	$\frac{2 x}{3} - \frac{5 x}{9} - \frac{x}{6} - \frac{5 x}{12} = \frac{13}{2}$
19967	Solve the System of Equations	-2a+3b=14 a-4b=3	$- 2 a + 3 b = 14$ $a - 4 b = 3$
19968	Graph	x^2-y^2<=8 x^2+y^2>=120	$x^{2} - y^{2} \leq 8$ $x^{2} + y^{2} \geq 120$
19969	Multiply	3a^3(5a^3+2a^2-3)	$3 a^{3} (5 a^{3} + 2 a^{2} - 3)$
19970	Convert to a Percentage	what percent of 50 is 20	what percent of $50$ is $20$
19971	Evaluate	square root of x-2-4=0	$\sqrt{x - 2} - 4 = 0$
19972	Simplify	(3x^2+2+4x)-(x+x^2+5)	$(3 x^{2} + 2 + 4 x) - (x + x^{2} + 5)$
19973	Evaluate	3^3=3^(4x+2)	$3^{3} = 3^{4 x + 2}$
19974	Solve for x	(x^4)/9-5=4	$\frac{x^{4}}{9} - 5 = 4$
19975	Solve for x	2 cube root of 1-3x+4=6	$2 \sqrt[3]{1 - 3 x} + 4 = 6$
19976	Find the Degree	xy^3-6xy	$x y^{3} - 6 x y$
19977	Find the Derivative Using Product Rule - d/dx	xcos(x)	$x \cos (x)$
19978	Factor	Factor: x^3+1	Factor: $x^{3} + 1$
19979	Simplify	((x^2+3x-28)/(x^2+4x+4))÷((x^2-49)/(x^2-5x-14))	$\frac{x^{2} + 3 x - 28}{x^{2} + 4 x + 4} \div \frac{x^{2} - 49}{x^{2} - 5 x - 14}$
19980	Simplify	8 square root of 16-2 cube root of 8+ fourth root of 16	$8 \sqrt{16} - 2 \sqrt[3]{8} + \sqrt[4]{16}$
19981	Solve for x	square root of x+3+8=7	$\sqrt{x + 3 + 8} = 7$
19982	Simplify	ab(a^2+b^2)	$a b (a^{2} + b^{2})$
19983	Find the Asymptotes	f(x) = log base 1/4 of x-1+1	$f (x) = \log_{\frac{1}{4}} (x - 1) + 1$
19984	Add	(9w^3)/(2w^5)+(3w^3)/(2w^5)	$\frac{9 w^{3}}{2 w^{5}} + \frac{3 w^{3}}{2 w^{5}}$
19985	Simplify the Radical Expression	square root of 20/45	$\sqrt{\frac{20}{45}}$
19986	Solve the Function Operation	f(x)=( cube root of x-7)/5 ; find f^-1(x)	$f (x) = \frac{\sqrt[3]{x} - 7}{5}$ ; find $f^{- 1} (x)$
19987	Describe the Transformation	g(x)=-5x^3	$g (x) = - 5 x^{3}$
19988	Solve for c	a=c/(2b)	$a = \frac{c}{2 b}$
19989	Write in Standard Form	y=(x-3)(x+3)	$y = (x - 3) (x + 3)$
19990	Simplify	(11i)/( square root of 2i)	$\frac{11 i}{\sqrt{2} i}$
19991	Solve for a	-2(6a-1)=-5/3(3a+15)+6	$- 2 (6 a - 1) = - \frac{5}{3} (3 a + 15) + 6$
19992	Simplify	15 root of x^10b^15	$\sqrt[15]{x^{10}} b^{15}$
19993	Evaluate the Integral	integral from 1 to 2 of (e^(2x^-2))/(x^3) with respect to x	$\int_{1}^{2} \frac{e^{2 x^{- 2}}}{x^{3}} d x$
19994	Simplify	3 square root of 5( square root of 5+3)	$3 \sqrt{5} (\sqrt{5} + 3)$
19995	Solve for x	1/(4x)=3/(2x-6)	$\frac{1}{4 x} = \frac{3}{2 x - 6}$
19996	Solve the Inequality for x	-2x+3+x>-x-1	$- 2 x + 3 + x > - x - 1$
19997	Find dy/dx	-2x-3y^2=1+xy	$- 2 x - 3 y^{2} = 1 + x y$
19998	Simplify	4^05^-26^-1*100^01/(2^-1) ?	$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0} \frac{1}{2^{- 1}}$ ?
19999	Simplify	cos(x)sec(x)-(cos(x))/(sec(x))	$\cos (x) \sec (x) - \frac{\cos (x)}{\sec (x)}$
20000	Convert to Interval Notation	-7\|x-6\|>-56	$- 7 \| x - 6 \| > - 56$