Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199801	Find the Degree	5x^2y^2z+10x^2y^2z	$5 x^{2} y^{2} z + 10 x^{2} y^{2} z$
199802	Solve for y	1/4y^2+y=0	$\frac{1}{4} y^{2} + y = 0$
199803	Solve for x	(1/64)^(x/2+1)=(1/16)^(x/3-3)	${(\frac{1}{64})}^{\frac{x}{2} + 1} = {(\frac{1}{16})}^{\frac{x}{3} - 3}$
199804	Solve for x	x+5=(3x+13)/2	$x + 5 = \frac{3 x + 13}{2}$
199805	Graph	5x-6y>42 3x+2y<=14	$5 x - 6 y > 42$ $3 x + 2 y \leq 14$
199806	Solve for P	16^(2P)=32^(P+3)	$16^{2 P} = 32^{P + 3}$
199807	Graph	x^2+(y-3 square root of 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2} x)}^{2} = 1$
199808	Simplify	-(35ax^2)/(12b^2)*(8ab)/(21xy)	$- \frac{35 a x^{2}}{12 b^{2}} \cdot \frac{8 a b}{21 x y}$
199809	Solve for y	1/3y^2-8/27=0	$\frac{1}{3} y^{2} - \frac{8}{27} = 0$
199810	Find the Product	(-3^2x^6)^5	${(- 3^{2} x^{6})}^{5}$
199811	Write in Exponential Form	( fourth root of 2a)	$(\sqrt[4]{2 a})$
199812	Find the Domain and Range	y=arcsin(2x)	$y = \arcsin (2 x)$
199813	Simplify	((2m^-1n^4*3m^6n^2)/(4m^7n^6))^4	${(\frac{2 m^{- 1} n^{4} \cdot 3 m^{6} n^{2}}{4 m^{7} n^{6}})}^{4}$
199814	Simplify	( square root of x^12)/( square root of 8100)	$\frac{\sqrt{x^{12}}}{\sqrt{8100}}$
199815	Solve for d	5/2=(d-2)/4	$\frac{5}{2} = \frac{d - 2}{4}$
199816	Solve the Inequality for a	-9+2a<3a	$- 9 + 2 a < 3 a$
199817	Solve for x	square root of 5x+1=1+3 square root of x	$\sqrt{5 x + 1} = 1 + 3 \sqrt{x}$
199818	Solve for k	6k+6k-4=5k-4	$6 k + 6 k - 4 = 5 k - 4$
199819	Graph	f(x)=(3x)/2+4	$f (x) = \frac{3 x}{2} + 4$
199820	Evaluate	1+6÷3-(9-5)	$1 + 6 \div 3 - (9 - 5)$
199821	Simplify	(a^-2-b^-2)/(a^2b^2)	$\frac{a^{- 2} - b^{- 2}}{a^{2} b^{2}}$
199822	Solve for X	4=1/2(3X+4)	$4 = \frac{1}{2} (3 X + 4)$
199823	Simplify the Radical Expression	( square root of 3)/( fourth root of 3)	$\frac{\sqrt{3}}{\sqrt[4]{3}}$
199824	Simplify	(4/5m^4n^6)(3/2mn^2)	$(\frac{4}{5} m^{4} n^{6}) (\frac{3}{2} m n^{2})$
199825	Simplify	(i square root of 6+3)(i square root of 6+2)	$(i \sqrt{6} + 3) (i \sqrt{6} + 2)$
199826	Simplify the Radical Expression	( square root of 5)/(5+ square root of 2)	$\frac{\sqrt{5}}{5 + \sqrt{2}}$
199827	Simplify	-2^3*3^0	$- 2^{3} \cdot 3^{0}$
199828	Solve for g	3g-10=4+8g-7g	$3 g - 10 = 4 + 8 g - 7 g$
199829	Find the x and y Intercepts	f(x)=-2 square root of x+1+4	$f (x) = - 2 \sqrt{x + 1} + 4$
199830	Solve for x	fourth root of 8x+12-9=-11	$\sqrt[4]{8 x + 12} - 9 = - 11$
199831	Simplify	((x^-3y^5)/(4^-3))^0	${(\frac{x^{- 3} y^{5}}{4^{- 3}})}^{0}$
199832	Solve for j	-3-9j=-2j-10	$- 3 - 9 j = - 2 j - 10$
199833	Solve the System of Equations	3x-30=y 7y-6=3x	$3 x - 30 = y$ $7 y - 6 = 3 x$
199834	Simplify	-(49)^(1/2)	$- {(49)}^{\frac{1}{2}}$
199835	Solve for x	log base 2 of 4x-3 = log base 2 of 3+ log base 2 of x	$\log_{2} (4 x) - 3 = \log_{2} (3) + \log_{2} (x)$
199836	Simplify	(b^-5)/(a^0b^-8)	$\frac{b^{- 5}}{a^{0} b^{- 8}}$
199837	Solve for t	9+10t=7+9t+2	$9 + 10 t = 7 + 9 t + 2$
199838	Simplify	(3^-3(-2)^-5)/(6^-1)	$\frac{3^{- 3} {(- 2)}^{- 5}}{6^{- 1}}$
199839	Solve for z	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
199840	Solve for v	7v+2=10+6v	$7 v + 2 = 10 + 6 v$
199841	Solve for z	3z-10=z+10+4z	$3 z - 10 = z + 10 + 4 z$
199842	Simplify the Radical Expression	9^(1/2)*9^(5/2)	$9^{\frac{1}{2}} \cdot 9^{\frac{5}{2}}$
199843	Solve for p	a=p+i	$a = p + i$
199844	Simplify	(4a^2h^2-8a^3h+3a^4)÷(2a^2)	$(4 a^{2} h^{2} - 8 a^{3} h + 3 a^{4}) \div (2 a^{2})$
199845	Simplify	10 square root of x/5	$10 \sqrt{\frac{x}{5}}$
199846	Evaluate	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
199847	Simplify	8+7f-2+3f+6-4f	$8 + 7 f - 2 + 3 f + 6 - 4 f$
199848	Simplify	square root of 9( square root of 3+2 square root of 2)	$\sqrt{9} (\sqrt{3} + 2 \sqrt{2})$
199849	Graph	4x-2y=y^2-23	$4 x - 2 y = y^{2} - 23$
199850	Simplify	(-(9y^2)/(20x^3))÷((y^5)/(16x))	$- \frac{9 y^{2}}{20 x^{3}} \div \frac{y^{5}}{16 x}$
199851	Solve for b	f(-g+b)=n	$f (- g + b) = n$
199852	Simplify	(-6a^4bc^8)/(36a^7b^2c)	$\frac{- 6 a^{4} b c^{8}}{36 a^{7} b^{2} c}$
199853	Solve for H	A=6H	$A = 6 H$
199854	Solve for B	5=F+B	$5 = F + B$
199855	Solve for x	x- square root of 169-x^2=17	$x - \sqrt{169 - x^{2}} = 17$
199856	Simplify	cube root of 27x-81-5	$\sqrt[3]{27 x - 81} - 5$
199857	Simplify	((2a^-2b)^-3)/(5a^2b^4)	$\frac{{(2 a^{- 2} b)}^{- 3}}{5 a^{2} b^{4}}$
199858	Solve for c	8c+4=2c-4+2	$8 c + 4 = 2 c - 4 + 2$
199859	Simplify	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
199860	Simplify	(4n^2-6np+9p^2)(2n+3p)	$(4 n^{2} - 6 n p + 9 p^{2}) (2 n + 3 p)$
199861	Solve for x	16^(x^2)=8^0	$16^{x^{2}} = 8^{0}$
199862	Simplify	cube root of 3/x	$\sqrt[3]{\frac{3}{x}}$
199863	Simplify	y/(3y^2-12)*(y^2-4y+4)	$\frac{y}{3 y^{2} - 12} \cdot (y^{2} - 4 y + 4)$
199864	Solve for k	8+5k=-10+9k-10	$8 + 5 k = - 10 + 9 k - 10$
199865	Simplify	square root of 8x* square root of 4x* square root of 3x	$\sqrt{8 x} \cdot \sqrt{4 x} \cdot \sqrt{3 x}$
199866	Solve for j	-2j=-j-6	$- 2 j = - j - 6$
199867	Solve the System of Equations	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
199868	Solve for x	12- cube root of 2x-7=21	$12 - \sqrt[3]{2 x - 7} = 21$
199869	Simplify	(-4/3xy^3)*(9x^8y)	$(- \frac{4}{3} x y^{3}) \cdot (9 x^{8} y)$
199870	Solve for x	1/2(3/5x-1/2)>x+3/8	$\frac{1}{2} (\frac{3}{5} x - \frac{1}{2}) > x + \frac{3}{8}$
199871	Solve for z	z+36/(z+3)=9	$z + \frac{36}{z + 3} = 9$
199872	Simplify	p/(7a-14)+1/(2-a)	$\frac{p}{7 a - 14} + \frac{1}{2 - a}$
199873	Find the Exact Value	tan(-810 degrees )	$\tan (- 810 °)$
199874	Solve the Inequality for j	-3/4j>=12	$- \frac{3}{4} j \geq 12$
199875	Solve the System of Equations	4x=2y+18 x-8y=12	$4 x = 2 y + 18$ $x - 8 y = 12$
199876	Solve for x	(x-5)^2+5=0	${(x - 5)}^{2} + 5 = 0$
199877	Simplify	(7s^0t^-5)/(2^-1m^2)	$\frac{7 s^{0} t^{- 5}}{2^{- 1} m^{2}}$
199878	Solve for x	3(1/6x+9)=1/2x-27	$3 (\frac{1}{6} x + 9) = \frac{1}{2} x - 27$
199879	Graph	y=(2x+3)(x-1)^2	$y = (2 x + 3) {(x - 1)}^{2}$
199880	Simplify	((x^3y^2)/(4z))^-2	${(\frac{x^{3} y^{2}}{4 z})}^{- 2}$
199881	Rationalize the Denominator	square root of (2x)/(5y)	$\sqrt{\frac{2 x}{5 y}}$
199882	Solve for u	10u=7+9u	$10 u = 7 + 9 u$
199883	Simplify	(cot(pi/2-x)sec(x))/(sec(x)^2)	$\frac{\cot (\frac{π}{2} - x) \sec (x)}{\sec^{2} (x)}$
199884	Simplify	((x^6)^-2)/(x^3)	$\frac{{(x^{6})}^{- 2}}{x^{3}}$
199885	Solve for x	3x-6=4(2-3x)-8x	$3 x - 6 = 4 (2 - 3 x) - 8 x$
199886	Evaluate	(3^8+3^5)/(3^5+9^2)*(5^2-5^5)/(5^5+5^2)	$\frac{3^{8} + 3^{5}}{3^{5} + 9^{2}} \cdot \frac{5^{2} - 5^{5}}{5^{5} + 5^{2}}$
199887	Simplify	(a-4)/(4a-8)+1/(2a-4)	$\frac{a - 4}{4 a - 8} + \frac{1}{2 a - 4}$
199888	Evaluate	(( square root of 63+ square root of 112)* square root of 28)/42	$\frac{(\sqrt{63} + \sqrt{112}) \cdot \sqrt{28}}{42}$
199889	Solve for x	square root of 3x-5 = square root of 2x	$\sqrt{3 x - 5} = \sqrt{2 x}$
199890	Solve for x	24e^(2x)-6=10e^x	$24 e^{2 x} - 6 = 10 e^{x}$
199891	Simplify	(4x^5+x^3-7x^2+2)(3x-1)	$(4 x^{5} + x^{3} - 7 x^{2} + 2) (3 x - 1)$
199892	Solve for u	-3+2u+6=-8u-7	$- 3 + 2 u + 6 = - 8 u - 7$
199893	Simplify	(2- square root of 12)/( square root of 3)	$\frac{2 - \sqrt{12}}{\sqrt{3}}$
199894	Simplify	fourth root of 256(x^2-1)^12	$\sqrt[4]{256 {(x^{2} - 1)}^{12}}$
199895	Find the Roots (Zeros)	x^3+2x^2-23x-60=(x+3)(x+4)(x-5)	$x^{3} + 2 x^{2} - 23 x - 60 = (x + 3) (x + 4) (x - 5)$
199896	Evaluate	y=350(1+0.75)^5	$y = 350 {(1 + 0.75)}^{5}$
199897	Simplify the Radical Expression	( fifth root of 486)/( fifth root of 2)	$\frac{\sqrt[5]{486}}{\sqrt[5]{2}}$
199898	Simplify the Radical Expression	square root of 8/5	$\sqrt{\frac{8}{5}}$
199899	Simplify	(10m-15n)÷(((2m-3n)^2)/(2m))	$(10 m - 15 n) \div \frac{{(2 m - 3 n)}^{2}}{2 m}$
199900	Simplify	(48x^5)/(49y^4)*(7y^2)/(16x^3)	$\frac{48 x^{5}}{49 y^{4}} \cdot \frac{7 y^{2}}{16 x^{3}}$