Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
801	Solve for x	\|x\|+x=0	$\| x \| + x = 0$
802	Simplify	(2ab)/(a^2-6ab+9b^2)*(a^2-9b^2)	$\frac{2 a b}{a^{2} - 6 a b + 9 b^{2}} \cdot (a^{2} - 9 b^{2})$
803	Find the Degree	5x^2y^2z+10x^2y^2z	$5 x^{2} y^{2} z + 10 x^{2} y^{2} z$
804	Solve for y	1/4y^2+y=0	$\frac{1}{4} y^{2} + y = 0$
805	Solve for x	(1/64)^(x/2+1)=(1/16)^(x/3-3)	${(\frac{1}{64})}^{\frac{x}{2} + 1} = {(\frac{1}{16})}^{\frac{x}{3} - 3}$
806	Solve for x	x+5=(3x+13)/2	$x + 5 = \frac{3 x + 13}{2}$
807	Graph	5x-6y>42 3x+2y<=14	$5 x - 6 y > 42$ $3 x + 2 y \leq 14$
808	Solve for P	16^(2P)=32^(P+3)	$16^{2 P} = 32^{P + 3}$
809	Find the Domain	(x^2-8)/(4x(x+1))	$\frac{x^{2} - 8}{4 x (x + 1)}$
810	Graph	x^2+(y-3 square root of 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2} x)}^{2} = 1$
811	Simplify	-(35ax^2)/(12b^2)*(8ab)/(21xy)	$- \frac{35 a x^{2}}{12 b^{2}} \cdot \frac{8 a b}{21 x y}$
812	Solve for y	1/3y^2-8/27=0	$\frac{1}{3} y^{2} - \frac{8}{27} = 0$
813	Find the Product	(-3^2x^6)^5	${(- 3^{2} x^{6})}^{5}$
814	Write in Exponential Form	( fourth root of 2a)	$(\sqrt[4]{2 a})$
815	Find the Domain and Range	y=arcsin(2x)	$y = \arcsin (2 x)$
816	Simplify	((2m^-1n^4*3m^6n^2)/(4m^7n^6))^4	${(\frac{2 m^{- 1} n^{4} \cdot 3 m^{6} n^{2}}{4 m^{7} n^{6}})}^{4}$
817	Simplify	( square root of x^12)/( square root of 8100)	$\frac{\sqrt{x^{12}}}{\sqrt{8100}}$
818	Solve for d	5/2=(d-2)/4	$\frac{5}{2} = \frac{d - 2}{4}$
819	Solve the Inequality for a	-9+2a<3a	$- 9 + 2 a < 3 a$
820	Solve for x	square root of 5x+1=1+3 square root of x	$\sqrt{5 x + 1} = 1 + 3 \sqrt{x}$
821	Solve for k	6k+6k-4=5k-4	$6 k + 6 k - 4 = 5 k - 4$
822	Graph	f(x)=(3x)/2+4	$f (x) = \frac{3 x}{2} + 4$
823	Evaluate	1+6÷3-(9-5)	$1 + 6 \div 3 - (9 - 5)$
824	Simplify	(a^-2-b^-2)/(a^2b^2)	$\frac{a^{- 2} - b^{- 2}}{a^{2} b^{2}}$
825	Solve for X	4=1/2(3X+4)	$4 = \frac{1}{2} (3 X + 4)$
826	Simplify the Radical Expression	( square root of 3)/( fourth root of 3)	$\frac{\sqrt{3}}{\sqrt[4]{3}}$
827	Simplify	(4/5m^4n^6)(3/2mn^2)	$(\frac{4}{5} m^{4} n^{6}) (\frac{3}{2} m n^{2})$
828	Simplify	(i square root of 6+3)(i square root of 6+2)	$(i \sqrt{6} + 3) (i \sqrt{6} + 2)$
829	Simplify the Radical Expression	( square root of 5)/(5+ square root of 2)	$\frac{\sqrt{5}}{5 + \sqrt{2}}$
830	Simplify	-2^3*3^0	$- 2^{3} \cdot 3^{0}$
831	Solve for g	3g-10=4+8g-7g	$3 g - 10 = 4 + 8 g - 7 g$
832	Find the x and y Intercepts	f(x)=-2 square root of x+1+4	$f (x) = - 2 \sqrt{x + 1} + 4$
833	Solve for x	fourth root of 8x+12-9=-11	$\sqrt[4]{8 x + 12} - 9 = - 11$
834	Simplify	((x^-3y^5)/(4^-3))^0	${(\frac{x^{- 3} y^{5}}{4^{- 3}})}^{0}$
835	Solve for j	-3-9j=-2j-10	$- 3 - 9 j = - 2 j - 10$
836	Solve the System of Equations	3x-30=y 7y-6=3x	$3 x - 30 = y$ $7 y - 6 = 3 x$
837	Simplify	-(49)^(1/2)	$- {(49)}^{\frac{1}{2}}$
838	Solve for x	log base 2 of 4x-3 = log base 2 of 3+ log base 2 of x	$\log_{2} (4 x) - 3 = \log_{2} (3) + \log_{2} (x)$
839	Simplify	(b^-5)/(a^0b^-8)	$\frac{b^{- 5}}{a^{0} b^{- 8}}$
840	Solve for t	9+10t=7+9t+2	$9 + 10 t = 7 + 9 t + 2$
841	Simplify	(3^-3(-2)^-5)/(6^-1)	$\frac{3^{- 3} {(- 2)}^{- 5}}{6^{- 1}}$
842	Solve for z	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
843	Solve for v	7v+2=10+6v	$7 v + 2 = 10 + 6 v$
844	Solve for z	3z-10=z+10+4z	$3 z - 10 = z + 10 + 4 z$
845	Find the Asymptotes	f(x)=(X+8)/(6x-15)	$f (x) = \frac{X + 8}{6 x - 15}$
846	Simplify the Radical Expression	9^(1/2)*9^(5/2)	$9^{\frac{1}{2}} \cdot 9^{\frac{5}{2}}$
847	Solve for p	a=p+i	$a = p + i$
848	Simplify	(4a^2h^2-8a^3h+3a^4)÷(2a^2)	$(4 a^{2} h^{2} - 8 a^{3} h + 3 a^{4}) \div (2 a^{2})$
849	Evaluate the Integral	integral from negative infinity to 0 of (xe^x)/((x+1)^2) with respect to x	$\int_{- \infty}^{0} \frac{x e^{x}}{{(x + 1)}^{2}} d x$
850	Evaluate the Integral	integral of (6^(3x^2-3x))(6x-3) with respect to x	$\int (6^{3 x^{2} - 3 x}) (6 x - 3) d x$
851	Simplify	10 square root of x/5	$10 \sqrt{\frac{x}{5}}$
852	Evaluate	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
853	Simplify	8+7f-2+3f+6-4f	$8 + 7 f - 2 + 3 f + 6 - 4 f$
854	Simplify	square root of 9( square root of 3+2 square root of 2)	$\sqrt{9} (\sqrt{3} + 2 \sqrt{2})$
855	Graph	4x-2y=y^2-23	$4 x - 2 y = y^{2} - 23$
856	Simplify	(-(9y^2)/(20x^3))÷((y^5)/(16x))	$- \frac{9 y^{2}}{20 x^{3}} \div \frac{y^{5}}{16 x}$
857	Solve for b	f(-g+b)=n	$f (- g + b) = n$
858	Simplify	(-6a^4bc^8)/(36a^7b^2c)	$\frac{- 6 a^{4} b c^{8}}{36 a^{7} b^{2} c}$
859	Evaluate the Limit	limit as x approaches 5 of (x^2-5x)/( square root of x+4-3)	$lim_{x \to 5} \frac{x^{2} - 5 x}{\sqrt{x + 4} - 3}$
860	Solve for H	A=6H	$A = 6 H$
861	Find the Domain	y=(18-2x)/(x^2-3x)-6/(3-x)	$y = \frac{18 - 2 x}{x^{2} - 3 x} - \frac{6}{3 - x}$
862	Find the Derivative - d/dx	y=arctan(4x^2-3)	$y = \arctan (4 x^{2} - 3)$
863	Solve for B	5=F+B	$5 = F + B$
864	Solve for x	x- square root of 169-x^2=17	$x - \sqrt{169 - x^{2}} = 17$
865	Simplify	cube root of 27x-81-5	$\sqrt[3]{27 x - 81} - 5$
866	Simplify	((2a^-2b)^-3)/(5a^2b^4)	$\frac{{(2 a^{- 2} b)}^{- 3}}{5 a^{2} b^{4}}$
867	Solve for c	8c+4=2c-4+2	$8 c + 4 = 2 c - 4 + 2$
868	Simplify	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
869	Simplify	(4n^2-6np+9p^2)(2n+3p)	$(4 n^{2} - 6 n p + 9 p^{2}) (2 n + 3 p)$
870	Solve for x	16^(x^2)=8^0	$16^{x^{2}} = 8^{0}$
871	Simplify	cube root of 3/x	$\sqrt[3]{\frac{3}{x}}$
872	Simplify	y/(3y^2-12)*(y^2-4y+4)	$\frac{y}{3 y^{2} - 12} \cdot (y^{2} - 4 y + 4)$
873	Solve for k	8+5k=-10+9k-10	$8 + 5 k = - 10 + 9 k - 10$
874	Simplify	square root of 8x* square root of 4x* square root of 3x	$\sqrt{8 x} \cdot \sqrt{4 x} \cdot \sqrt{3 x}$
875	Verify the Identity	(sin(-x))/(cos(-x)tan(-x))=1	$\frac{\sin (- x)}{\cos (- x) \tan (- x)} = 1$
876	Solve for j	-2j=-j-6	$- 2 j = - j - 6$
877	Solve the System of Equations	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
878	Solve for x	12- cube root of 2x-7=21	$12 - \sqrt[3]{2 x - 7} = 21$
879	Simplify	(-4/3xy^3)*(9x^8y)	$(- \frac{4}{3} x y^{3}) \cdot (9 x^{8} y)$
880	Solve for x	1/2(3/5x-1/2)>x+3/8	$\frac{1}{2} (\frac{3}{5} x - \frac{1}{2}) > x + \frac{3}{8}$
881	Solve for z	z+36/(z+3)=9	$z + \frac{36}{z + 3} = 9$
882	Simplify	p/(7a-14)+1/(2-a)	$\frac{p}{7 a - 14} + \frac{1}{2 - a}$
883	Find the Exact Value	tan(-810 degrees )	$\tan (- 810 °)$
884	Solve the Inequality for j	-3/4j>=12	$- \frac{3}{4} j \geq 12$
885	Solve the System of Equations	4x=2y+18 x-8y=12	$4 x = 2 y + 18$ $x - 8 y = 12$
886	Solve for x	(x-5)^2+5=0	${(x - 5)}^{2} + 5 = 0$
887	Simplify	(7s^0t^-5)/(2^-1m^2)	$\frac{7 s^{0} t^{- 5}}{2^{- 1} m^{2}}$
888	Solve for x	3(1/6x+9)=1/2x-27	$3 (\frac{1}{6} x + 9) = \frac{1}{2} x - 27$
889	Graph	y=(2x+3)(x-1)^2	$y = (2 x + 3) {(x - 1)}^{2}$
890	Find the Antiderivative	f(x)=1/x-3/(x^3)	$f (x) = \frac{1}{x} - \frac{3}{x^{3}}$
891	Simplify	((x^3y^2)/(4z))^-2	${(\frac{x^{3} y^{2}}{4 z})}^{- 2}$
892	Rationalize the Denominator	square root of (2x)/(5y)	$\sqrt{\frac{2 x}{5 y}}$
893	Solve for u	10u=7+9u	$10 u = 7 + 9 u$
894	Simplify	(cot(pi/2-x)sec(x))/(sec(x)^2)	$\frac{\cot (\frac{π}{2} - x) \sec (x)}{\sec^{2} (x)}$
895	Simplify	((x^6)^-2)/(x^3)	$\frac{{(x^{6})}^{- 2}}{x^{3}}$
896	Solve for x	3x-6=4(2-3x)-8x	$3 x - 6 = 4 (2 - 3 x) - 8 x$
897	Evaluate	(3^8+3^5)/(3^5+9^2)*(5^2-5^5)/(5^5+5^2)	$\frac{3^{8} + 3^{5}}{3^{5} + 9^{2}} \cdot \frac{5^{2} - 5^{5}}{5^{5} + 5^{2}}$
898	Simplify	(a-4)/(4a-8)+1/(2a-4)	$\frac{a - 4}{4 a - 8} + \frac{1}{2 a - 4}$
899	Evaluate	(( square root of 63+ square root of 112)* square root of 28)/42	$\frac{(\sqrt{63} + \sqrt{112}) \cdot \sqrt{28}}{42}$
900	Solve for x	square root of 3x-5 = square root of 2x	$\sqrt{3 x - 5} = \sqrt{2 x}$