Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47001	Find the GCF	130x and 13	$130 x$ and $13$
47002	Simplify	m^(4/9)*m^(1/4)	$m^{\frac{4}{9}} \times m^{\frac{1}{4}}$
47003	Solve Over the Interval	cot(x)=1 , pi<=x<=(3pi)/2	$\cot (x) = 1$ , $π \leq x \leq \frac{3 π}{2}$
47004	Evaluate	(1/4x^2+2/3x+4)+(-1/2x^2-5/3x-1 1/2)	$(\frac{1}{4} x^{2} + \frac{2}{3} x + 4) + (- \frac{1}{2} x^{2} - \frac{5}{3} x - 1 \frac{1}{2})$
47005	Simplify	(1/4x-5)+(3/16x+8)	$(\frac{1}{4} x - 5) + (\frac{3}{16} x + 8)$
47006	Solve for x	log base 4 of x = log base 4 of 15- log base 4 of 3	$\log_{4} (x) = \log_{4} (15) - \log_{4} (3)$
47007	Evaluate	2x=3	$2 x = 3$
47008	Evaluate the Limit	limit as x approaches negative infinity of ( square root of 16x^2+x)/x	$lim_{x \to - \infty} \frac{\sqrt{16 x^{2} + x}}{x}$
47009	Evaluate	g(x)=3	$g (x) = 3$
47010	Graph	y = square root of 1-x+2	$y = \sqrt{1 - x} + 2$
47011	Find the Roots (Zeros)	2x^4+2x^3+2x^2+15x-9	$2 x^{4} + 2 x^{3} + 2 x^{2} + 15 x - 9$
47012	Simplify	(7 square root of 6+6 square root of 7)/(7 square root of 7+6 square root of 6)	$\frac{7 \sqrt{6} + 6 \sqrt{7}}{7 \sqrt{7} + 6 \sqrt{6}}$
47013	Simplify the Radical Expression	(x^5)/(x^3)	$\frac{x^{5}}{x^{3}}$
47014	Simplify	fifth root of 64x^4y^3* fifth root of 16xy^2	$\sqrt[5]{64 x^{4} y^{3}} \cdot \sqrt[5]{16 x y^{2}}$
47015	Simplify	(2mn^2(3m^2n)^2)/(12m^3(n^4)^-3)	$\frac{2 m n^{2} {(3 m^{2} n)}^{2}}{12 m^{3} {(n^{4})}^{- 3}}$
47016	Find the 5th Term	1/6 , 1/9 , 2/27 , 4/81	$\frac{1}{6}$ , $\frac{1}{9}$ , $\frac{2}{27}$ , $\frac{4}{81}$
47017	Solve for x	1/(x-1)-8/(x^2-x)=(7x)/(x-1)	$\frac{1}{x - 1} - \frac{8}{x^{2} - x} = \frac{7 x}{x - 1}$
47018	Solve for n	what number is 120% of 70	what number is $120 %$ of $70$
47019	Graph	f(x)=(5x^2+25x)/(-3x^2-21x-30)	$f (x) = \frac{5 x^{2} + 25 x}{- 3 x^{2} - 21 x - 30}$
47020	Combine Like Terms	8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3	$8 m n^{5} - 2 m^{6} + 5 m^{2} n^{4} - m^{3} n^{3} + n^{6} - 4 m^{6} + 9 m^{2} n^{4} - m n^{5} - 4 m^{3} n^{3}$
47021	Simplify	((56^(1/4))/(7^(1/4)))^5	${(\frac{56^{\frac{1}{4}}}{7^{\frac{1}{4}}})}^{5}$
47022	Solve for x	square root of x+4-x+2=0	$\sqrt{x + 4} - x + 2 = 0$
47023	Solve for y	y = square root of 31-27	$y = \sqrt{31 - 27}$
47024	Solve for a	z=5/8ab	$z = \frac{5}{8} a b$
47025	Evaluate	(49^(3/8)*49^(7/8))/(7^(5/4))	$\frac{49^{\frac{3}{8}} \cdot 49^{\frac{7}{8}}}{7^{\frac{5}{4}}}$
47026	Simplify	(x^2+6x)/(5x+2)+2/(5x+2)-(x^2+x)/(5x+2)	$\frac{x^{2} + 6 x}{5 x + 2} + \frac{2}{5 x + 2} - \frac{x^{2} + x}{5 x + 2}$
47027	Solve for x	x-3=5/2x-4	$x - 3 = \frac{5}{2} x - 4$
47028	Solve the Inequality for x	x-5=13	$x - 5 = 13$
47029	Simplify	square root of (7x^5)/(63x)	$\sqrt{\frac{7 x^{5}}{63 x}}$
47030	Solve for x	cube root of 7x^2=3x	$\sqrt[3]{7 x^{2}} = 3 x$
47031	Evaluate	(x^5)/(x^-2)	$\frac{x^{5}}{x^{- 2}}$
47032	Graph	y=-(2x+5)(x-1)^2	$y = - (2 x + 5) {(x - 1)}^{2}$
47033	Simplify	(-3x^2y^2)/(-xy)	$\frac{- 3 x^{2} y^{2}}{- x y}$
47034	Solve for x	0.04x-0.02(1000+x)=500	$0.04 x - 0.02 (1000 + x) = 500$
47035	Graph	f(x)=(2x^2-5)/(x^2)	$f (x) = \frac{2 x^{2} - 5}{x^{2}}$
47036	Simplify the Radical Expression	(-3 square root of -63)(9 square root of -7)	$(- 3 \sqrt{- 63}) (9 \sqrt{- 7})$
47037	Solve for x	x-5/8=-3/4	$x - \frac{5}{8} = - \frac{3}{4}$
47038	Find the Second Derivative	f(x)=e^(1/x)	$f (x) = e^{\frac{1}{x}}$
47039	Simplify	(x^6y^5)/(x^3y^5)	$\frac{x^{6} y^{5}}{x^{3} y^{5}}$
47040	Simplify	(cos(x)^4-sin(x)^4)/(cos(x)^2)	$\frac{\cos^{4} (x) - \sin^{4} (x)}{\cos^{2} (x)}$
47041	Find the Exact Value	(( square root of 2)/2)÷(( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
47042	Solve for x	-1/((x-2)^2)=0	$- \frac{1}{{(x - 2)}^{2}} = 0$
47043	Find the Integral	5e^(5x)dx	$5 e^{5 x} d x$
47044	Evaluate	1/3-1/2-6	$\frac{1}{3} - \frac{1}{2} - 6$
47045	Combine Like Terms	-4/7+2/7x-14x+4/7	$- \frac{4}{7} + \frac{2}{7} x - 14 x + \frac{4}{7}$
47046	Solve for M	M=(10^(m+n)10^(n-m)10^(n+1))/(10^(n-1)*10^(2n+1))	$M = \frac{10^{m + n} \cdot 10^{n - m} \cdot 10^{n + 1}}{10^{n - 1} \cdot 10^{2 n + 1}}$
47047	Simplify	-x^-4y^-4	$- x^{- 4} y^{- 4}$
47048	Graph	f(x)=-cos(1/(2x)+pi/2)+1	$f (x) = - \cos (\frac{1}{2 x} + \frac{π}{2}) + 1$
47049	Evaluate the Function	Evaluate the exponential function f(x)=5^(2x) when x=-1	Evaluate the exponential function $f (x) = 5^{2 x}$ when $x = - 1$
47050	Find the Antiderivative	f(x)=6/(5 square root of 4x+2)+1/(cos(5x)^2)	$f (x) = \frac{6}{5 \sqrt{4 x + 2}} + \frac{1}{\cos^{2} (5 x)}$
47051	Solve for f	3(2+f)=-15	$3 (2 + f) = - 15$
47052	Solve for b	-3b=a	$- 3 b = a$
47053	Add	(9c-8d)+(2c-6)+(-d+3)	$(9 c - 8 d) + (2 c - 6) + (- d + 3)$
47054	Simplify	-(2(p^-4y^4)^-3)/(6p^-3y^-1)	$- \frac{2 {(p^{- 4} y^{4})}^{- 3}}{6 p^{- 3} y^{- 1}}$
47055	Evaluate the Integral	integral from 1 to 2 of (16(3-2x)^(5/3))/3 with respect to x	$\int_{1}^{2} \frac{16 {(3 - 2 x)}^{\frac{5}{3}}}{3} d x$
47056	Simplify	(4y)/(2x^4y^3)	$\frac{4 y}{2 x^{4} y^{3}}$
47057	Simplify	((18a^3b^-2)/(27a^-2b^-4))^-3	${(\frac{18 a^{3} b^{- 2}}{27 a^{- 2} b^{- 4}})}^{- 3}$
47058	Simplify	((7x^3)/9)/(5/(4x^3))	$\frac{\frac{7 x^{3}}{9}}{\frac{5}{4 x^{3}}}$
47059	Evaluate	--27/-3+4*(5-(-3))	$- \frac{- 27}{- 3} + 4 \cdot (5 - (- 3))$
47060	Simplify	(b-a)/(ab)+(c-b)/(bc)-(c-a)/(ac)	$\frac{b - a}{a b} + \frac{c - b}{b c} - \frac{c - a}{a c}$
47061	Determine if Continuous	f(x)=x^2-c if x<5; 4x+2c if x>=5	$f (x) = {\begin{cases} x^{2} - c & x < 5 \\ 4 x + 2 c & x \geq 5 \end{cases}$
47062	Evaluate the Limit	limit as x approaches 3/2 of (-x-3)/(x^2+x+1)	$lim_{x \to \frac{3}{2}} \frac{- x - 3}{x^{2} + x + 1}$
47063	Evaluate	7x(4x^2+6)=4(7x^3+9x-12)	$7 x (4 x^{2} + 6) = 4 (7 x^{3} + 9 x - 12)$
47064	Find the Derivative - d/dX	6X^2-4Y	$6 X^{2} - 4 Y$
47065	Simplify	-1/2*2	$- \frac{1}{2} \cdot 2$
47066	Evaluate	(5-3)!	$(5 - 3)!$
47067	Write the Fraction in Simplest Form	( cube root of k^8)/( square root of k)	$\frac{\sqrt[3]{k^{8}}}{\sqrt{k}}$
47068	Write in Standard Form	-4(x-4)^2+16=0	$- 4 {(x - 4)}^{2} + 16 = 0$
47069	Solve for x	3 square root of 3x+4-5=0	$3 \sqrt{3 x + 4} - 5 = 0$
47070	Find the Slope	(3/8,-1) and (-1/4,-1/4)	$(\frac{3}{8}, - 1)$ and $(- \frac{1}{4}, - \frac{1}{4})$
47071	Simplify	cube root of 27a^6b^5- square root of 27a^5b^6	$\sqrt[3]{27 a^{6} b^{5}} - \sqrt{27 a^{5} b^{6}}$
47072	Evaluate	i^26*i^54	$i^{26} \cdot i^{54}$
47073	Find the Product	2x*2x	$2 x \cdot 2 x$
47074	Expand the Logarithmic Expression	log of (10x)/6	$\log (\frac{10 x}{6})$
47075	Solve the Inequality for y	7y+10>6y+11	$7 y + 10 > 6 y + 11$
47076	Solve the Absolute Value Inequality for x	8-\|2+2x\|=0	$8 - \| 2 + 2 x \| = 0$
47077	Simplify	(-300x^5y^4)÷xy^2	$- 300 x^{5} y^{4} \div x y^{2}$
47078	Evaluate	(x^3)^-3(-2y^5)^4	${(x^{3})}^{- 3} {(- 2 y^{5})}^{4}$
47079	Solve for x	2x+5+x-5=180	$2 x + 5 + x - 5 = 180$
47080	Find the Parabola with Vertex (-2,4) and Directrix x=-1	vertex (-2,4) ; directrix x=-1	vertex $(- 2, 4)$ ; directrix $x = - 1$
47081	Round to the Nearest Whole Number	square root of 31	$\sqrt{31}$
47082	Simplify	1/(y^2)+1/(x^2y)	$\frac{1}{y^{2}} + \frac{1}{x^{2} y}$
47083	Find the Integral	-6sin(3x)dx	$- 6 \sin (3 x) d x$
47084	Evaluate the Function	F(-3)=2(-3)^3+2	$F (- 3) = 2 {(- 3)}^{3} + 2$
47085	Graph	8*(5/4)^x	$8 \cdot {(\frac{5}{4})}^{x}$
47086	Solve for x	8-2kx=-3x	$8 - 2 k x = - 3 x$
47087	Simplify	(5^2-3^2)/(3-5)	$\frac{5^{2} - 3^{2}}{3 - 5}$
47088	Solve for x	(2x-1)/6-(x+5)/18=x+1	$\frac{2 x - 1}{6} - \frac{x + 5}{18} = x + 1$
47089	Evaluate the Integral	integral of (2x+3)^2e^(x+1) with respect to x	$\int {(2 x + 3)}^{2} e^{x + 1} d x$
47090	Simplify	3yx^2*3y^3	$3 y x^{2} \cdot 3 y^{3}$
47091	Find the Derivative - d/dx	(1+tan(x))/(1+cot(x))	$\frac{1 + \tan (x)}{1 + \cot (x)}$
47092	Simplify	(4y^3)/( square root of 20y^2)	$\frac{4 y^{3}}{\sqrt{20 y^{2}}}$
47093	Factor	7ac-2bd+bc-14ad	$7 a c - 2 b d + b c - 14 a d$
47094	Factor	(x-4)^2+(x-4)	${(x - 4)}^{2} + (x - 4)$
47095	Simplify	(xy)/4*(2x^2)/(y^3)	$\frac{x y}{4} \cdot \frac{2 x^{2}}{y^{3}}$
47096	Evaluate	-(6(8-9))/2	$- \frac{6 (8 - 9)}{2}$
47097	Solve for x	1/4x-2=-1/2x+4	$\frac{1}{4} x - 2 = - \frac{1}{2} x + 4$
47098	Multiply	square root of 3( square root of 6+ square root of 8)	$\sqrt{3} (\sqrt{6} + \sqrt{8})$
47099	Evaluate the Integral	integral of ((z^6+3z^4-z^2-3)/( square root of z)) with respect to z	$\int (\frac{z^{6} + 3 z^{4} - z^{2} - 3}{\sqrt{z}}) d z$
47100	Solve for b	b-6=18-3b	$b - 6 = 18 - 3 b$