Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17701	Simplify	Simplify square root of 48	Simplify $\sqrt{48}$
17702	Write in Standard Form	(-10x^2+x)+(-2x^2+9x+7)	$(- 10 x^{2} + x) + (- 2 x^{2} + 9 x + 7)$
17703	Simplify the Radical Expression	- square root of (y+7)^16	$- \sqrt{{(y + 7)}^{16}}$
17704	Find the Product	k(k-9)	$k (k - 9)$
17705	Simplify	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
17706	Solve the Inequality for x	5/(8x+3)<0	$\frac{5}{8 x + 3} < 0$
17707	Simplify	(5x^3)(-2x^4)(-4x)	$(5 x^{3}) (- 2 x^{4}) (- 4 x)$
17708	Determine if True	cos(x)^2-sin(x)^2=1-2sin(x)^2	$\cos^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$
17709	Solve for y	13y^2+10y-3=5y^2	$13 y^{2} + 10 y - 3 = 5 y^{2}$
17710	Simplify	cube root of x^2* fifth root of x	$\sqrt[3]{x^{2}} \cdot \sqrt[5]{x}$
17711	Solve for x	(1/2)^x=1	${(\frac{1}{2})}^{x} = 1$
17712	Evaluate the Integral	integral from 6 to infinity of 5/((x-1)( natural log of x-1)^3) with respect to x	$\int_{6}^{\infty} \frac{5}{(x - 1) \ln^{3} (x - 1)} d x$
17713	Simplify	3/(2x)*(x^3)/3	$\frac{3}{2 x} \cdot \frac{x^{3}}{3}$
17714	Graph	x<0 and y>0	$x < 0$ and $y > 0$
17715	Multiply	2 square root of 5( square root of 6+2)	$2 \sqrt{5} (\sqrt{6} + 2)$
17716	Evaluate the Limit	limit as x approaches infinity of (1+(3(a^2+1))/(5x^2))^x	$lim_{x \to \infty} {(1 + \frac{3 (a^{2} + 1)}{5 x^{2}})}^{x}$
17717	Simplify	3 square root of a^5b^7*2 square root of 5a^7b^3	$3 \sqrt{a^{5} b^{7}} \cdot 2 \sqrt{5 a^{7} b^{3}}$
17718	Evaluate	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
17719	Evaluate the Limit	limit as x approaches infinity of (4x^3-2x^2+5x-7)/(x^2-4x-2x^3-1)	$lim_{x \to \infty} \frac{4 x^{3} - 2 x^{2} + 5 x - 7}{x^{2} - 4 x - 2 x^{3} - 1}$
17720	Multiply	square root of 9* square root of 3	$\sqrt{9} \cdot \sqrt{3}$
17721	Evaluate	square root of 7^2+1^2	$\sqrt{7^{2} + 1^{2}}$
17722	Find the Excluded Values	9/(x+6)	$\frac{9}{(x + 6)}$
17723	Solve for B	18+0.08B>=75	$18 + 0.08 B \geq 75$
17724	Evaluate	arcsin(8.3/16)	$\arcsin (\frac{8.3}{16})$
17725	Find All Complex Solutions	t^2-7t+16=t	$t^{2} - 7 t + 16 = t$
17726	Solve the System of Equations	4x-y=6 2x-y/2=4	$4 x - y = 6$ $2 x - \frac{y}{2} = 4$
17727	Find the Asymptotes	f(x)=(x^2+2x-15)/(x^3+1)	$f (x) = \frac{x^{2} + 2 x - 15}{x^{3} + 1}$
17728	Simplify	2x^2+3y-2x+5y+2x	$2 x^{2} + 3 y - 2 x + 5 y + 2 x$
17729	Add	2/(ac)+1/(ab)+3/(bc)	$\frac{2}{a c} + \frac{1}{a b} + \frac{3}{b c}$
17730	Solve the System of Equations	3x-y=6 and -3x+y=-6	$3 x - y = 6$ and $- 3 x + y = - 6$
17731	Find the Excluded Values	6/(t+5)+2/(t-5)=(3t-1)/(t^2-25)	$\frac{6}{t + 5} + \frac{2}{t - 5} = \frac{3 t - 1}{t^{2} - 25}$
17732	Write in Standard Form	3/2x=1/3y+2	$\frac{3}{2} x = \frac{1}{3} y + 2$
17733	Solve for x	x^5=3	$x^{5} = 3$
17734	Solve for x	7 square root of x+3<=80	$7 \sqrt{x} + 3 \leq 80$
17735	Graph	y=2cos(pi(x+1/4))	$y = 2 \cos (π (x + \frac{1}{4}))$
17736	Simplify	2-(-4+6i)+3	$2 - (- 4 + 6 i) + 3$
17737	Solve the Inequality for z	-24z>=-13	$- 24 z \geq - 13$
17738	Simplify	( square root of 5)/-2	$\frac{\sqrt{5}}{- 2}$
17739	Write in Standard Form	-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5	$- 5 x^{3} y^{3} + 8 x^{4} y^{2} - x y^{5} - 2 x^{2} y^{4} + 8 x^{6} + 3 x^{2} y^{4} - 6 x y^{5}$
17740	Find the Product	(-2d^2+5)(5d^2-6s)	$(- 2 d^{2} + 5) (5 d^{2} - 6 s)$
17741	Simplify	(42a^2-24a)/(21a-12)*(3a-9)/(6a^2+24a)	$\frac{42 a^{2} - 24 a}{21 a - 12} \cdot \frac{3 a - 9}{6 a^{2} + 24 a}$
17742	Solve for x	-2-1/(2x)=-1/(4x)	$- 2 - \frac{1}{2 x} = - \frac{1}{4 x}$
17743	Simplify	(4x^4+2y^3-6z^3+4)-(-9x^4-3y^3+4z^3+9)	$(4 x^{4} + 2 y^{3} - 6 z^{3} + 4) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
17744	Subtract	7/(4m)-4/(3n)	$\frac{7}{4 m} - \frac{4}{3 n}$
17745	Find the Quotient	(-3d^8f^6+27d^5f^8-15d^5f^6)/(-3d^5f^6)	$\frac{- 3 d^{8} f^{6} + 27 d^{5} f^{8} - 15 d^{5} f^{6}}{- 3 d^{5} f^{6}}$
17746	Evaluate	60% of 30	$60 %$ of $30$
17747	Solve for n	1/(n^2-2n)-(n+6)/(n-2)=6/(n^2-2n)	$\frac{1}{n^{2} - 2 n} - \frac{n + 6}{n - 2} = \frac{6}{n^{2} - 2 n}$
17748	Find f(g(x))	f(x)=(x+16)/x , g(x)=(2x)/(x+4)	$f (x) = \frac{(x + 16)}{x}$ , $g (x) = \frac{(2 x)}{(x + 4)}$
17749	Evaluate the Integral	integral of y^2(4-y^3)^(2/3) with respect to y	$\int y^{2} {(4 - y^{3})}^{\frac{2}{3}} d y$
17750	Simplify	1+y-1+4y+2	$1 + y - 1 + 4 y + 2$
17751	Simplify	3 square root of 5a^3* square root of 50a^7	$3 \sqrt{5 a^{3}} \cdot \sqrt{50 a^{7}}$
17752	Graph	y=-1/4x-2 x+4y=-8	$y = - \frac{1}{4} x - 2$ $x + 4 y = - 8$
17753	Evaluate the Integral	integral from 0 to 2 of x square root of 1+2x^2 with respect to x	$\int_{0}^{2} x \sqrt{1 + 2 x^{2}} d x$
17754	Solve the Inequality for x	3 square root of x-4>=5	$3 \sqrt{x} - 4 \geq 5$
17755	Graph	-1.3>=2.9-0.6r	$- 1.3 \geq 2.9 - 0.6 r$
17756	Write in Exponential Form	n root of a*n root of b	$\sqrt[n]{a} \cdot \sqrt[n]{b}$
17757	Convert from Degrees to Radians	-150deg	$- 150$ degrees
17758	Find the Antiderivative	f(x)=1/(x^2)-2sin(x)	$f (x) = \frac{1}{x^{2}} - 2 \sin (x)$
17759	Simplify	( square root of 7+ square root of 8)( square root of 7- square root of 8)	$(\sqrt{7} + \sqrt{8}) (\sqrt{7} - \sqrt{8})$
17760	Solve the Function Operation	Given that f(x)=x^2-12x+35 and g(x)=x-7 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 12 x + 35$ and $g (x) = x - 7$ ; find $f (x) + g (x)$ and express the result in standard form.
17761	Graph	8x-3y<4 9x+2y<-1	$8 x - 3 y < 4$ $9 x + 2 y < - 1$
17762	Evaluate the Function	f(0)=0/(0^2+1)	$f (0) = \frac{0}{0^{2} + 1}$
17763	Solve for x	-2x=(-4x+20)/2	$- 2 x = \frac{- 4 x + 20}{2}$
17764	Evaluate	7x^2y^2+12xy^2-3x^2y+11+4xy-13x^2y+7	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 + 4 x y - 13 x^{2} y + 7$
17765	Describe the Transformation	f(x)=5^x , g(x)=-5^x	$f (x) = 5^{x}$ , $g (x) = - 5^{x}$
17766	Simplify	2x-3+5x+3+7x-1	$2 x - 3 + 5 x + 3 + 7 x - 1$
17767	Simplify	(-8x^3*5x^2y^9)/(2x^5y^5)	$\frac{- 8 x^{3} \cdot 5 x^{2} y^{9}}{2 x^{5} y^{5}}$
17768	Evaluate	csc(theta)=2	$\csc (θ) = 2$
17769	Find the Parabola with Focus (-2,4) and Directrix x=-1	The vertex is (-2,4) ; the directrix is x=-1	The vertex is $(- 2, 4)$ ; the directrix is $x = - 1$
17770	Solve the Inequality for v	v+20>7	$v + 20 > 7$
17771	Multiply	square root of 15x^2* square root of 10x^3	$\sqrt{15 x^{2}} \cdot \sqrt{10 x^{3}}$
17772	Simplify	(3x^3y^2z^-6)/(27y^4x^2z^5)	$\frac{3 x^{3} y^{2} z^{- 6}}{27 y^{4} x^{2} z^{5}}$
17773	Simplify	((9a^5t^-1)/(at^5))^2	${(\frac{9 a^{5} t^{- 1}}{a t^{5}})}^{2}$
17774	Find the Degree	-10b^2+8a^2c^2+10a^3b^5	$- 10 b^{2} + 8 a^{2} c^{2} + 10 a^{3} b^{5}$
17775	Graph	y=- log base 3 of x+2	$y = - \log_{3} (x) + 2$
17776	Solve the Function Operation	f(x)=2x+4 g(x)=3x^2-1 Find f(x)*g(x)	$f (x) = 2 x + 4$ $g (x) = 3 x^{2} - 1$ Find $f (x) \cdot g (x)$
17777	Solve the Rational Equation for x	(3x-4)/(x-5)=(3x+6)/(x+2)	$\frac{3 x - 4}{x - 5} = \frac{3 x + 6}{x + 2}$
17778	Simplify	(x^2+x)-(2x^2-3x)	$(x^{2} + x) - (2 x^{2} - 3 x)$
17779	Evaluate	i^35i^17i^35	$i^{35} \cdot i^{17} \cdot i^{35}$
17780	Simplify	(66a^2b^2)/21*(7b^3)/(3a^4)	$\frac{66 a^{2} b^{2}}{21} \cdot \frac{7 b^{3}}{3 a^{4}}$
17781	Simplify	(6x(3y)^2)^2	${(6 x {(3 y)}^{2})}^{2}$
17782	Simplify	15b^0c^8d^-6*7bc^3d^5	$15 b^{0} c^{8} d^{- 6} \cdot 7 b c^{3} d^{5}$
17783	Solve Using the Quadratic Formula	-13x^2-9x+4=5+2x^2-x	$- 13 x^{2} - 9 x + 4 = 5 + 2 x^{2} - x$
17784	Find the x and y Intercepts	y=((x-4)(x+3))/(x+3)	$y = \frac{(x - 4) (x + 3)}{x + 3}$
17785	Solve the Function Operation	If f(x)=x^3+x^2-22x-40 and f(-2)=0 ; then find all of the zeros of f(x) algebraically.	If $f (x) = x^{3} + x^{2} - 22 x - 40$ and $f (- 2) = 0$ ; then find all of the zeros of $f (x)$ algebraically.
17786	Simplify	5a-2b-3+2b-6a	$5 a - 2 b - 3 + 2 b - 6 a$
17787	Solve for y	0.5(2y-1)-(0.5-0.2y)+1=0	$0.5 (2 y - 1) - (0.5 - 0.2 y) + 1 = 0$
17788	Find the Product	(x^2+4x+16)(x-4)	$(x^{2} + 4 x + 16) (x - 4)$
17789	Simplify	6 square root of 6(9 square root of 2-5 square root of 12)	$6 \sqrt{6} (9 \sqrt{2} - 5 \sqrt{12})$
17790	Solve for x	0=5/(4x)	$0 = \frac{5}{4 x}$
17791	Simplify	(9c-8d)+(2c-6)+(-d+3)	$(9 c - 8 d) + (2 c - 6) + (- d + 3)$
17792	Factor	P(x)=x^5+x^2-x-1	$P (x) = x^{5} + x^{2} - x - 1$
17793	Evaluate the Integral	integral of 4x(5x^2) with respect to x	$\int 4 x (5 x^{2}) d x$
17794	Simplify	0/( square root of 9-0^2)	$\frac{0}{\sqrt{9 - 0^{2}}}$
17795	Simplify	cube root of -49x* cube root of 7x^2	$\sqrt[3]{- 49 x} \cdot \sqrt[3]{7 x^{2}}$
17796	Simplify	(2x)/(2x+1)-(x-1)/((2x+1)(x-2))	$\frac{2 x}{2 x + 1} - \frac{x - 1}{(2 x + 1) (x - 2)}$
17797	Write in Exponential Form	square root of 3* square root of 8	$\sqrt{3} \cdot \sqrt{8}$
17798	Solve the Inequality for a	a(a-4)-a^2>12-6a	$a (a - 4) - a^{2} > 12 - 6 a$
17799	Write in Standard Form	y=3(x+1)^2-3x^2	$y = 3 {(x + 1)}^{2} - 3 x^{2}$
17800	Simplify	(15e^3)/(3e)	$\frac{15 e^{3}}{3 e}$