Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2701	Simplify	5/8x+1/2(1/4x+10)	$\frac{5}{8} x + \frac{1}{2} (\frac{1}{4} x + 10)$
2702	Evaluate the Integral	integral of (5x)/(4x+4x^2) with respect to x	$\int \frac{5 x}{4 x + 4 x^{2}} d x$
2703	Solve the Rational Equation for b	-5 square root of b=-50	$- 5 \sqrt{b} = - 50$
2704	Solve for x	10^2+10^2=x^2	$10^{2} + 10^{2} = x^{2}$
2705	Solve the System of Equations	-v+w=7 v+w=1	$- v + w = 7$ $v + w = 1$
2706	Factor	-30x^3-2x^2y+4xy^2	$- 30 x^{3} - 2 x^{2} y + 4 x y^{2}$
2707	Simplify	(-4)(3x^2)(2x)	$(- 4) (3 x^{2}) (2 x)$
2708	Simplify	4/( square root of 6+2)	$\frac{4}{\sqrt{6 + 2}}$
2709	Solve for x	cube root of 2x+1 = cube root of x+8	$\sqrt[3]{2 x + 1} = \sqrt[3]{x + 8}$
2710	Solve the Inequality for y	3y<=2y-6	$3 y \leq 2 y - 6$
2711	Simplify the Radical Expression	square root of 2* square root of 3	$\sqrt{2} \cdot \sqrt{3}$
2712	Simplify	(4x)/(x-7)-(3x)/(2x-14)	$\frac{4 x}{x - 7} - \frac{3 x}{2 x - 14}$
2713	Find dy/dx	e^y-xy=e	$e^{y} - x y = e$
2714	Convert to Radical Form	(26)(1/4)	$(26) (\frac{1}{4})$
2715	Simplify	(11 square root of 12)/(2 square root of 7)	$\frac{11 \sqrt{12}}{2 \sqrt{7}}$
2716	Multiply	3p(np-z)	$3 p (n p - z)$
2717	Solve for x	2 cube root of x=4 cube root of x+7	$2 \sqrt[3]{x} = 4 \sqrt[3]{x} + 7$
2718	Simplify	10a-(-(5a+20))	$10 a - (- (5 a + 20))$
2719	Verify the Identity	(cos(theta)^2-sin(theta)^2)/(cos(theta)+sin(theta))=cos(theta)-sin(theta)	$\frac{\cos^{2} (θ) - \sin^{2} (θ)}{\cos (θ) + \sin (θ)} = \cos (θ) - \sin (θ)$
2720	Divide	((x+1)^(2n)+4(x+1)^(2n+1)+6(x+1)^6-11)/(x(x+2))	$\frac{{(x + 1)}^{2 n} + 4 {(x + 1)}^{2 n + 1} + 6 {(x + 1)}^{6} - 11}{x (x + 2)}$
2721	Simplify	(3a^2b-6ab+5ab^2)(ab)^-1	$(3 a^{2} b - 6 a b + 5 a b^{2}) {(a b)}^{- 1}$
2722	Simplify	(48x^6y^7z^5)/(-6xy^5z^6)	$\frac{48 x^{6} y^{7} z^{5}}{- 6 x y^{5} z^{6}}$
2723	Simplify the Radical Expression	fifth root of 64/r	$\sqrt[5]{\frac{64}{r}}$
2724	Simplify	square root of 3^3*6^3	$\sqrt{3^{3}} \cdot 6^{3}$
2725	Evaluate	10-4÷2+3*4-1	$10 - 4 \div 2 + 3 \cdot 4 - 1$
2726	Find the Domain	cube root of x+2- square root of x=2x	$\sqrt[3]{x + 2} - \sqrt{x} = 2 x$
2727	Verify the Identity	sec(theta)cos(theta)+sec(theta)sin(theta)=1+tan(theta)	$\sec (θ) \cos (θ) + \sec (θ) \sin (θ) = 1 + \tan (θ)$
2728	Evaluate the Limit	limit as x approaches 0 of ( square root of x+4-2)/(x^2+x)	$lim_{x \to 0} \frac{\sqrt{x + 4} - 2}{x^{2} + x}$
2729	Find the Critical Points	a^3y=x^2(2a^2-x^2)	$a^{3} y = x^{2} (2 a^{2} - x^{2})$
2730	Simplify	( square root of 3x^4)/( square root of 2x^2y^5)	$\frac{\sqrt{3 x^{4}}}{\sqrt{2 x^{2} y^{5}}}$
2731	Solve the Inequality for q	6q<-18	$6 q < - 18$
2732	Simplify the Radical Expression	square root of (x^2)/12	$\sqrt{\frac{x^{2}}{12}}$
2733	Graph	The graph of y=f(x) is shown below. Draw the graph of y=-f(x)	The graph of $y = f (x)$ is shown below. Draw the graph of $y = - f (x)$
2734	Multiply	square root of 2*5 square root of 8	$\sqrt{2} \cdot 5 \sqrt{8}$
2735	Find the Domain	1/( square root of 2- square root of x)	$\frac{1}{\sqrt{2 - \sqrt{x}}}$
2736	Find the Fourth Roots of a Complex Number	-4-4i	$- 4 - 4 i$
2737	Simplify the Radical Expression	25 1/2	$25 \frac{1}{2}$
2738	Solve for x	square root of 3x+1-3=7	$\sqrt{3 x + 1 - 3} = 7$
2739	Simplify	((8cd^3)(-3c^4))/(6c^2d)-9c^3d^2	$\frac{(8 c d^{3}) (- 3 c^{4})}{6 c^{2} d} - 9 c^{3} d^{2}$
2740	Simplify	(8y^3)(-3x^2y^2)(3/8xy^4)	$(8 y^{3}) (- 3 x^{2} y^{2}) (\frac{3}{8} x y^{4})$
2741	Find the x and y Intercepts	y=x^3+x^2-12x	$y = x^{3} + x^{2} - 12 x$
2742	Solve for x	(sin(x)-1)(sin(x)-5)=0	$(\sin (x) - 1) (\sin (x) - 5) = 0$
2743	Describe the Transformation	f(x)=-3*2^(x-1)+7	$f (x) = - 3 \cdot 2^{x - 1} + 7$
2744	Simplify	x/(x+3)+(17x)/(6x+18)	$\frac{x}{x + 3} + \frac{17 x}{6 x + 18}$
2745	Solve for x	3x(x^2-5x+6)+4(x^2+3x-4)=5x(x^2-2x+3)-x(2x^2+x)-1	$3 x (x^{2} - 5 x + 6) + 4 (x^{2} + 3 x - 4) = 5 x (x^{2} - 2 x + 3) - x (2 x^{2} + x) - 1$
2746	Solve the System of Equations	3x-4y=-8 8y=6x-16	$3 x - 4 y = - 8$ $8 y = 6 x - 16$
2747	Simplify	(-5xy)(4x^2)(y^4)	$(- 5 x y) (4 x^{2}) (y^{4})$
2748	Solve for b	6+4/5b=9/10b	$6 + \frac{4}{5} b = \frac{9}{10} b$
2749	Simplify	(a^7b^8c^8)/(a^5bc^7)	$\frac{a^{7} b^{8} c^{8}}{a^{5} b c^{7}}$
2750	Simplify	((4x^2yz^3)^2)/(2x^3y^2z^-4)	$\frac{{(4 x^{2} y z^{3})}^{2}}{2 x^{3} y^{2} z^{- 4}}$
2751	Find the Product	(6mn-9)(m^2n-7)	$(6 m n - 9) (m^{2} n - 7)$
2752	Simplify	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
2753	Find the x and y Intercepts	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
2754	Write the Fraction in Simplest Form	9/( square root of 3+ square root of 7)	$\frac{9}{\sqrt{3} + \sqrt{7}}$
2755	Solve for x	1/2x-4+1=-3-1/2x	$\frac{1}{2} x - 4 + 1 = - 3 - \frac{1}{2} x$
2756	Simplify	(2x)/(5x)+(2x)/(x^2)	$\frac{2 x}{5 x} + \frac{2 x}{x^{2}}$
2757	Simplify	(2x+10)/3*(6x)/(x+5)	$\frac{2 x + 10}{3} \cdot \frac{6 x}{x + 5}$
2758	Factor by Grouping	16a^4+64a^3b^2+96a^2b^4+64ab^6+16b^8	$16 a^{4} + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$
2759	Solve for R	E/R=I	$\frac{E}{R} = I$
2760	Simplify the Radical Expression	27 2/3	$27 \frac{2}{3}$
2761	Simplify	((14m^4)/(3m))÷((7m^2)/(18m^5))	$\frac{14 m^{4}}{3 m} \div \frac{7 m^{2}}{18 m^{5}}$
2762	Graph	x^2+(y-(4/x)^2)*2=1	$x^{2} + (y - {(\frac{4}{x})}^{2}) \cdot 2 = 1$
2763	Solve for x	log of x+2+ log of x-2=1- log of 2	$\log (x + 2) + \log (x - 2) = 1 - \log (2)$
2764	Simplify	(x^2y^6z^3)/(x^2y^2)	$\frac{x^{2} y^{6} z^{3}}{x^{2} y^{2}}$
2765	Simplify	(5- square root of 21)/( square root of 3- square root of 7)	$\frac{5 - \sqrt{21}}{\sqrt{3} - \sqrt{7}}$
2766	Verify the Identity	(1- square root of x)/(1+ square root of x)=(1-2 square root of x+x)/(1-x)	$\frac{1 - \sqrt{x}}{1 + \sqrt{x}} = \frac{1 - 2 \sqrt{x} + x}{1 - x}$
2767	Simplify	(-35 square root of 6)/(7i square root of -12)	$\frac{- 35 \sqrt{6}}{7 i \sqrt{- 12}}$
2768	Simplify	(2x+22)/3*6/(4x)	$\frac{2 x + 22}{3} \cdot \frac{6}{4 x}$
2769	Simplify	20/(26x)*(13x)/(4x)	$\frac{20}{26 x} \cdot \frac{13 x}{4 x}$
2770	Simplify	(1+ square root of 2+ square root of 3)(1+ square root of 2- square root of 3)	$(1 + \sqrt{2} + \sqrt{3}) (1 + \sqrt{2} - \sqrt{3})$
2771	Simplify	64-(2+1)^3+1^5	$64 - {(2 + 1)}^{3} + 1^{5}$
2772	Simplify	(22w+11)/(8w^2-6w)-3/(2w)	$\frac{22 w + 11}{8 w^{2} - 6 w} - \frac{3}{2 w}$
2773	Simplify	((20x-4)/(8x^2))÷(5x-1)*(6x)/5	$\frac{20 x - 4}{8 x^{2}} \div (5 x - 1) \cdot \frac{6 x}{5}$
2774	Solve for a	64^a=8^(a+2)	$64^{a} = 8^{a + 2}$
2775	Simplify	square root of (r^4g^6p^2)^3	$\sqrt{{(r^{4} g^{6} p^{2})}^{3}}$
2776	Solve the System of Equations	3x+2y=4 2y=8-5x	$3 x + 2 y = 4$ $2 y = 8 - 5 x$
2777	Simplify	square root of 25/36r^2t	$\sqrt{\frac{25}{36} r^{2} t}$
2778	Simplify	2/5ab^2-16a+3/4ab^2-6/5a^2b+12a-3/5a^2b	$\frac{2}{5} a b^{2} - 16 a + \frac{3}{4} a b^{2} - \frac{6}{5} a^{2} b + 12 a - \frac{3}{5} a^{2} b$
2779	Find the Antiderivative	cos(x)^5	$\cos^{5} (x)$
2780	Find the Antiderivative	2sin(x/2)^2	$2 \sin^{2} (\frac{x}{2})$
2781	Simplify	((4^0c^2d^3f)/(2c^-4d^-5))^-3	${(\frac{4^{0} c^{2} d^{3} f}{2 c^{- 4} d^{- 5}})}^{- 3}$
2782	Simplify	cube root of 5^5* square root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt{5}$
2783	Simplify	(4x^-2y^4)/(8x^3(y^-2)^3)	$\frac{4 x^{- 2} y^{4}}{8 x^{3} {(y^{- 2})}^{3}}$
2784	Solve for n	x^2*x^n=(x^3)^4	$x^{2} \cdot x^{n} = {(x^{3})}^{4}$
2785	Simplify the Radical Expression	square root of 24+ square root of 54	$\sqrt{24} + \sqrt{54}$
2786	Simplify	(2x)/y-4/x	$\frac{2 x}{y} - \frac{4}{x}$
2787	Graph	-y<=3x+4 -3x+3y<=-9	$- y \leq 3 x + 4$ $- 3 x + 3 y \leq - 9$
2788	Graph	y+3=2^x	$y + 3 = 2^{x}$
2789	Simplify	cube root of 9xy^2*3 cube root of 3x^4y^6	$\sqrt[3]{9 x y^{2}} \cdot 3 \sqrt[3]{3 x^{4} y^{6}}$
2790	Solve for x	24/(2x-4)=(x+6)/39	$\frac{24}{2 x - 4} = \frac{x + 6}{39}$
2791	Simplify the Radical Expression	square root of 8x^5y^6z^13	$\sqrt{8 x^{5} y^{6} z^{13}}$
2792	Find the Antiderivative	f(x)=(2-7x)^4	$f (x) = {(2 - 7 x)}^{4}$
2793	Solve for p	9p-3p-5=19	$9 p - 3 p - 5 = 19$
2794	Simplify the Radical Expression	cube root of 8/512	$\sqrt[3]{\frac{8}{512}}$
2795	Solve for x	2=(4^(1/3))(2^(x/3))	$2 = (4^{\frac{1}{3}}) (2^{\frac{x}{3}})$
2796	Simplify	((x^2y^-3)/(z^2))^-1	${(\frac{x^{2} y^{- 3}}{z^{2}})}^{- 1}$
2797	Solve the Differential Equation	x'=3xt^2-3t^2	$x' = 3 x t^{2} - 3 t^{2}$
2798	Solve for x	square root of x-3 = square root of 2x	$\sqrt{x - 3} = \sqrt{2 x}$
2799	Calculate the Square Root	0.7 square root of 300	$0.7 \sqrt{300}$
2800	Simplify	((5x-20)/6)÷((15x)/4)	$\frac{5 x - 20}{6} \div \frac{15 x}{4}$