Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11801	Solve the Rational Equation for r	1/(r-2)+1/(r^2-7r+10)=6/(r-2)	$\frac{1}{r - 2} + \frac{1}{r^{2} - 7 r + 10} = \frac{6}{r - 2}$
11802	Solve for x	3x-2=5^(x-1)	$3 x - 2 = 5^{x - 1}$
11803	Solve for x	(2(5-x))/3=7x	$\frac{2 (5 - x)}{3} = 7 x$
11804	Simplify	(5x^4y^0)^-3	${(5 x^{4} y^{0})}^{- 3}$
11805	Evaluate	x^2+4=0	$x^{2} + 4 = 0$
11806	Convert to a Decimal	tan(270)deg	$\tan (270)$ degrees
11807	Solve the System of Equations	y=1/5x-2/5 x-5y=2	$y = \frac{1}{5} x - \frac{2}{5}$ $x - 5 y = 2$
11808	Find the Domain and Range	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
11809	Simplify	(sin(theta))/(cos(theta))+1/(sin(theta))	$\frac{\sin (θ)}{\cos (θ)} + \frac{1}{\sin (θ)}$
11810	Solve for n	2/3(n-6)=5n-43	$\frac{2}{3} (n - 6) = 5 n - 43$
11811	Simplify	-1.4p^2x^6*(5p^3x-1.5px^2-2x^3)	$- 1.4 p^{2} x^{6} \cdot (5 p^{3} x - 1.5 p x^{2} - 2 x^{3})$
11812	Find the x and y Intercepts	f(x)=- square root of x+1-3	$f (x) = - \sqrt{x + 1} - 3$
11813	Simplify	1/3x^2+1/2xy+4xy+2/3x^2	$\frac{1}{3} x^{2} + \frac{1}{2} x y + 4 x y + \frac{2}{3} x^{2}$
11814	Solve for x	square root of 9x-1 = square root of 5x+11	$\sqrt{9 x} - 1 = \sqrt{5 x + 11}$
11815	Verify the Identity	sin(a-b)=sin(a)cos(b)-cos(a)sin(b)	$\sin (a - b) = \sin (a) \cos (b) - \cos (a) \sin (b)$
11816	Add	(7p^2-4)+(3p^2-q+3)	$(7 p^{2} - 4) + (3 p^{2} - q + 3)$
11817	Simplify	((-p^0m)^3)/(3p)	$\frac{{(- p^{0} m)}^{3}}{3 p}$
11818	Find the Antiderivative	square root of 1-x	$\sqrt{1 - x}$
11819	Solve Using the Quadratic Formula	x^6+3x^3-5	$x^{6} + 3 x^{3} - 5$
11820	Divide	(-3 1/2)÷2 1/3	$- 3 \frac{1}{2} \div 2 \frac{1}{3}$
11821	Solve for n	3/5n+9/10=-1/5n-23/10	$\frac{3}{5} n + \frac{9}{10} = - \frac{1}{5} n - \frac{23}{10}$
11822	Simplify	(x+12)/(2x-5)-(3x-2)/(2x-5)	$\frac{x + 12}{2 x - 5} - \frac{3 x - 2}{2 x - 5}$
11823	Simplify the Radical Expression	( square root of 8)^2	${(\sqrt{8})}^{2}$
11824	Simplify	(6x^-3y^5)^0	${(6 x^{- 3} y^{5})}^{0}$
11825	Simplify	6.5k(2k-18)+19	$6.5 k (2 k - 18) + 19$
11826	Simplify	i^15i^27i^15*i^8	$i^{15} \cdot i^{27} \cdot i^{15} \cdot i^{8}$
11827	Write in Standard Form	3x^3+2x^4-7x+x^2	$3 x^{3} + 2 x^{4} - 7 x + x^{2}$
11828	Solve the Function Operation	Given f(x)=-x+1 ; find f(0)	Given $f (x) = - x + 1$ ; find $f (0)$
11829	Find the Domain	g(x)=1/(1-tan(x))	$g (x) = \frac{1}{1 - \tan (x)}$
11830	Solve for x	56328+16244+166*44-x=0	$56 \cdot 328 + 162 \cdot 44 + 166 \cdot 44 - x = 0$
11831	Simplify	2^-7*(2^-7)/(2^0)	$2^{- 7} \cdot \frac{2^{- 7}}{2^{0}}$
11832	Divide	( square root of 75)÷( square root of 3)	$\sqrt{75} \div \sqrt{3}$
11833	Simplify	Subtract -5x^2+7x+1 from 8x^2+x-10	Subtract $- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
11834	Factor by Grouping	x^2y-9y-10x^2+90	$x^{2} y - 9 y - 10 x^{2} + 90$
11835	Evaluate the Integral	integral of 2/( cube root of 3x) with respect to x	$\int \frac{2}{\sqrt[3]{3 x}} d x$
11836	Simplify	(6x^3-4)+(-2x^3+9)	$(6 x^{3} - 4) + (- 2 x^{3} + 9)$
11837	Evaluate	arctan(-1/( square root of 3))	$\arctan (\frac{- 1}{\sqrt{3}})$
11838	Solve for x	(11-2x)/3=4x	$\frac{11 - 2 x}{3} = 4 x$
11839	Solve for y	2(y+4)^2=22	$2 {(y + 4)}^{2} = 22$
11840	Solve for n	-8-8-8n=-8n-16	$- 8 - 8 - 8 n = - 8 n - 16$
11841	Solve for x	Solve 1/25=5^(x+4)	Solve $\frac{1}{25} = 5^{x + 4}$
11842	Solve by Factoring	x^3-6x^2+12x-8=0	$x^{3} - 6 x^{2} + 12 x - 8 = 0$
11843	Simplify the Radical Expression	6 square root of 2-5 square root of 8+2 square root of 32	$6 \sqrt{2} - 5 \sqrt{8} + 2 \sqrt{32}$
11844	Solve for x	( square root of x)/3-8=2	$\frac{\sqrt{x}}{3} - 8 = 2$
11845	Evaluate the Integral	integral of (7 square root of x^3+6 cube root of x^2) with respect to x	$\int (7 \sqrt{x^{3}} + 6 \sqrt[3]{x^{2}}) d x$
11846	Solve the System of Equations	2x+y=3 y=1/2x-9/2	$2 x + y = 3$ $y = \frac{1}{2} x - \frac{9}{2}$
11847	Solve for x	-2(x+5)>=-6	$- 2 (x + 5) \geq - 6$
11848	Find the Antiderivative	1/(x(x-1))	$\frac{1}{x (x - 1)}$
11849	Find Amplitude, Period, and Phase Shift	y=-2/5cos(x+pi/3)	$y = - \frac{2}{5} \cos (x + \frac{π}{3})$
11850	Simplify	(-16^(3/2))	$(- 16^{\frac{3}{2}})$
11851	Simplify the Radical Expression	-3/(2 cube root of 3)	$- \frac{3}{2 \sqrt[3]{3}}$
11852	Evaluate the Limit	limit as x approaches pi/2 of 1/(cos(x))-tan(x)	$lim_{x \to \frac{π}{2}} \frac{1}{\cos (x)} - \tan (x)$
11853	Solve the Inequality for x	1/4x+3>=-3/4x+11	$\frac{1}{4} x + 3 \geq - \frac{3}{4} x + 11$
11854	Combine Like Terms	5m+9m+13-n-7	$5 m + 9 m + 13 - n - 7$
11855	Find the Degree, Leading Term, and Leading Coefficient	h(t)=3(t-5)^3(t-3)^3(t-2)	$h (t) = 3 {(t - 5)}^{3} {(t - 3)}^{3} (t - 2)$
11856	Solve the Inequality for d	d/2-1>=3	$\frac{d}{2} - 1 \geq 3$
11857	Evaluate the Limit	limit as x approaches infinity of ( square root of x^2+3)/(2x+1)	$lim_{x \to \infty} \frac{\sqrt{x^{2} + 3}}{2 x + 1}$
11858	Write Using Positive Exponents	(2a^-4)/(5b^-2)	$\frac{2 a^{- 4}}{5 b^{- 2}}$
11859	Solve the Inequality for t	39<3t+3	$39 < 3 t + 3$
11860	Evaluate	square root of 9640.25	$\sqrt{9 \cdot 64 \cdot 0.25}$
11861	Solve the Rational Equation for x	square root of x+3-x=3	$\sqrt{x + 3} - x = 3$
11862	Simplify	((4*10^3)/(10^-2))^2	${(\frac{4 \cdot 10^{3}}{10^{- 2}})}^{2}$
11863	Solve for b	e^(b-3)=6	$e^{b - 3} = 6$
11864	Solve for x	e^(1/x)=0	$e^{\frac{1}{x}} = 0$
11865	Find the LCD	5/(7-z) , 6/(z-7)	$\frac{5}{7 - z}$ , $\frac{6}{z - 7}$
11866	Solve the Inequality for m	3/4m>-12	$\frac{3}{4} m > - 12$
11867	Simplify	(-2)^2(-2)^5	${(- 2)}^{2} {(- 2)}^{5}$
11868	Simplify	i*2i	$i \cdot 2 i$
11869	Factor	6e^3f-11ef	$6 e^{3} f - 11 e f$
11870	Simplify	(2^3a^2b^4)(2^4a^7b)	$(2^{3} a^{2} b^{4}) (2^{4} a^{7} b)$
11871	Write in Standard Form	3m(3m+6)-3(m^2+4m+1)	$3 m (3 m + 6) - 3 (m^{2} + 4 m + 1)$
11872	Factor	24x^3y-18x^2+12xy^2	$24 x^{3} y - 18 x^{2} + 12 x y^{2}$
11873	Evaluate the Limit	limit as x approaches -1 of (4x^3+9x^2-3x-8)/(2x^2-5x+1)	$lim_{x \to - 1} \frac{4 x^{3} + 9 x^{2} - 3 x - 8}{2 x^{2} - 5 x + 1}$
11874	Find the Center and Radius	2x^2+2y^2-8=0	$2 x^{2} + 2 y^{2} - 8 = 0$
11875	Solve the System of Equations	y=x^2+6x -x+y=24	$y = x^{2} + 6 x$ $- x + y = 24$
11876	Simplify	5/(a^2+5a)-7/(3a+15)	$\frac{5}{a^{2} + 5 a} - \frac{7}{3 a + 15}$
11877	Divide Using Synthetic Division	6x^5-2x^3+4x^2-3x+1 by x-2	$6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1$ by $x - 2$
11878	Evaluate	1/3(3j+6)	$\frac{1}{3} (3 j + 6)$
11879	Simplify	square root of 2x( square root of 2- square root of x)-5 square root of x	$\sqrt{2 x} (\sqrt{2} - \sqrt{x}) - 5 \sqrt{x}$
11880	Simplify	square root of 3x* square root of 2x*4 square root of 3x^2	$\sqrt{3 x} \cdot \sqrt{2 x} \cdot 4 \sqrt{3 x^{2}}$
11881	Solve for x	-5/(x+3)-4/(x+2)=7/(x^2+5x+6)	$- \frac{5}{x + 3} - \frac{4}{x + 2} = \frac{7}{x^{2} + 5 x + 6}$
11882	Evaluate	( square root of 2)/2*(-2/( square root of 2))	$\frac{\sqrt{2}}{2} \cdot (- \frac{2}{\sqrt{2}})$
11883	Convert to a Decimal	sin(315)deg	$\sin (315)$ degrees
11884	Find the Derivative - d/dx	(x^2+1)^(3/2)	${(x^{2} + 1)}^{\frac{3}{2}}$
11885	Find the Product	cube root of d* cube root of d* cube root of d	$\sqrt[3]{d} \cdot \sqrt[3]{d} \cdot \sqrt[3]{d}$
11886	Simplify	i^11i^13i^7*i^9	$i^{11} \cdot i^{13} \cdot i^{7} \cdot i^{9}$
11887	Evaluate the Limit	limit as x approaches 1/2 of (2x^2+7x-4)/(2x-1)	$lim_{x \to \frac{1}{2}} \frac{2 x^{2} + 7 x - 4}{2 x - 1}$
11888	Solve the Function Operation	f(x)=4x+8 g(x)=x+3 find f(x)*g(x)	$f (x) = 4 x + 8$ $g (x) = x + 3$ find $f (x) \cdot g (x)$
11889	Simplify	1/((5x)^(-5/2))	$\frac{1}{{(5 x)}^{- \frac{5}{2}}}$
11890	Solve for x	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
11891	Simplify the Radical Expression	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
11892	Write in Slope-Intercept Form	2y-4+x=0	$2 y - 4 + x = 0$
11893	Simplify	(3 square root of 2)/2+ square root of 2	$\frac{3 \sqrt{2}}{2} + \sqrt{2}$
11894	Simplify	1/(2+x)-(2-x)/x	$\frac{1}{2 + x} - \frac{2 - x}{x}$
11895	Solve Using the Quadratic Formula	6x^2-5x=3x^2+2	$6 x^{2} - 5 x = 3 x^{2} + 2$
11896	Solve for x	square root of x- square root of x+6+ square root of 2=0	$\sqrt{x} - \sqrt{x + 6} + \sqrt{2} = 0$
11897	Evaluate	6(2^3-4)-4+2(7)	$6 (2^{3} - 4) - 4 + 2 (7)$
11898	Solve for x	log base 3 of 2x^2+7- log base 3 of 3x+6=1	$\log_{3} (2 x^{2} + 7) - \log_{3} (3 x + 6) = 1$
11899	Find the Slope	(-8,-5) and (-7,-4)	$(- 8, - 5)$ and $(- 7, - 4)$
11900	Write in Standard Form	-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)	$- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)$