Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202201	Simplify	( square root of 8m^2)/( square root of 6m)	$\frac{\sqrt{8 m^{2}}}{\sqrt{6 m}}$
202202	Solve for y	-325/y=13	$- \frac{325}{y} = 13$
202203	Simplify	5 cube root of 9a^2*4 cube root of 3a	$5 \sqrt[3]{9 a^{2}} \cdot 4 \sqrt[3]{3 a}$
202204	Simplify	(4x)/(x+1)*(3x+3)/2	$\frac{4 x}{x + 1} \cdot \frac{3 x + 3}{2}$
202205	Simplify	(2^-1+5^-1)^2	${(2^{- 1} + 5^{- 1})}^{2}$
202206	Solve for n	fourth root of n+1=2	$\sqrt[4]{n + 1} = 2$
202207	Find the Exact Value	cos(-420 degrees )	$\cos (- 420 °)$
202208	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x+x^3+4	$f (x) = 2 x + x^{3} + 4$
202209	Solve the System of Equations	4x-1/3y=8 2/3x+1/3y=11/3	$4 x - \frac{1}{3} y = 8$ $\frac{2}{3} x + \frac{1}{3} y = \frac{11}{3}$
202210	Simplify the Radical Expression	1/( cube root of 5)	$\frac{1}{\sqrt[3]{5}}$
202211	Simplify	(7/9)÷(y/(y-11))	$\frac{7}{9} \div \frac{y}{y - 11}$
202212	Find g(f(x))	f(x)=3x+5 , g(x)=-2x-3	$f (x) = 3 x + 5$ , $g (x) = - 2 x - 3$
202213	Solve for x	3/4(1/6x+16)=3/7(4 3/8x-21)	$\frac{3}{4} (\frac{1}{6} x + 16) = \frac{3}{7} (4 \frac{3}{8} x - 21)$
202214	Evaluate	log base b of (x)^n	$\log_{b} ({(x)}^{n})$
202215	Subtract	(9a^3+6a^2-a)-(a^3+6a-3)	$(9 a^{3} + 6 a^{2} - a) - (a^{3} + 6 a - 3)$
202216	Simplify	(m^(3/2)n^(-1/4))/(m^(3/4)n^(3/4))	$\frac{m^{\frac{3}{2}} n^{- \frac{1}{4}}}{m^{\frac{3}{4}} n^{\frac{3}{4}}}$
202217	Solve the System of Equations	2x-y=-15 2(x+3y)=-22	$2 x - y = - 15$ $2 (x + 3 y) = - 22$
202218	Find the Inverse	y=-1/2x^3+6	$y = - \frac{1}{2} x^{3} + 6$
202219	Solve by Substitution	15x+5y=20 y=8-3x	$15 x + 5 y = 20$ $y = 8 - 3 x$
202220	Find the Product	4a^2b^3*(9a^4b^2-4a^2+3)	$4 a^{2} b^{3} \cdot (9 a^{4} b^{2} - 4 a^{2} + 3)$
202221	Simplify	(5(z+4))/(8z+32)	$\frac{5 (z + 4)}{8 z + 32}$
202222	Simplify	(6x^2y^3)/((-4x^4y)(-3x^3y^2))	$\frac{6 x^{2} y^{3}}{(- 4 x^{4} y) (- 3 x^{3} y^{2})}$
202223	Graph	y<=x+3/2	$y \leq x + \frac{3}{2}$
202224	Solve for x	square root of x-5- square root of x=-2	$\sqrt{x - 5} - \sqrt{x} = - 2$
202225	Simplify	((3r^6n^3)/(2r^5n))^4	${(\frac{3 r^{6} n^{3}}{2 r^{5} n})}^{4}$
202226	Factor	c-2cd+8d-4	$c - 2 c d + 8 d - 4$
202227	Find the Roots (Zeros)	-2x^4+4x^3-6x^2+12x	$- 2 x^{4} + 4 x^{3} - 6 x^{2} + 12 x$
202228	Simplify	7x^2y^2+12xy^2-3x^2y+11+4xy-13x^2y+7	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 + 4 x y - 13 x^{2} y + 7$
202229	Simplify	(-2n^6y^5)(-6n^3y^2)(ny)^3	$(- 2 n^{6} y^{5}) (- 6 n^{3} y^{2}) {(n y)}^{3}$
202230	Simplify	((9m^4n^10)/(-3m^2n^5))^-1	${(\frac{9 m^{4} n^{10}}{- 3 m^{2} n^{5}})}^{- 1}$
202231	Simplify	( square root of 27- square root of 6)/( square root of 18-3)	$\frac{\sqrt{27} - \sqrt{6}}{\sqrt{18} - 3}$
202232	Evaluate	3!2!	$3! 2!$
202233	Find the Domain and Range	f(x)=tan(2x-pi)	$f (x) = \tan (2 x - π)$
202234	Solve for x	(1/216)^(10x+16)=(1/6)^(-2x^2+8x)	${(\frac{1}{216})}^{10 x + 16} = {(\frac{1}{6})}^{- 2 x^{2} + 8 x}$
202235	Graph	x-y=7 x-y=-4	$x - y = 7$ $x - y = - 4$
202236	Solve the Inequality for h	h-26<4	$h - 26 < 4$
202237	Find the x and y Intercepts	2x-2/3=3/4y+3	$2 x - \frac{2}{3} = \frac{3}{4} y + 3$
202238	Solve for y	y=x/3+5 , x=6	$y = \frac{x}{3} + 5$ , $x = 6$
202239	Solve for r	8000=4/3pir^3	$8000 = \frac{4}{3} π r^{3}$
202240	Find the Exact Value	2(32-(4-1)^3)	$2 (32 - {(4 - 1)}^{3})$
202241	Multiply	4/33.1410^3	$\frac{4}{3} \cdot 3.14 \cdot 10^{3}$
202242	Evaluate	log base 4 of x-4=( log base 4 of x)/( log base 4 of 4)	$\log_{4} (x - 4) = \frac{\log_{4} (x)}{\log_{4} (4)}$
202243	Solve for x	1/(16^(3x-4))<=64^(x-1)	$\frac{1}{16^{3 x - 4}} \leq 64^{x - 1}$
202244	Simplify	fourth root of (81x^2y^4)/(z^8)	$\sqrt[4]{\frac{81 x^{2} y^{4}}{z^{8}}}$
202245	Simplify	(15x)÷5xy	$15 x \div 5 x y$
202246	Evaluate	(4+9)-(3(6))/2+8	$(4 + 9) - \frac{3 (6)}{2} + 8$
202247	Simplify	3 square root of x4 square root of 3x square root of 6x	$3 \sqrt{x} \cdot 4 \sqrt{3 x} \cdot \sqrt{6 x}$
202248	Solve the Inequality for b	b+2>=4	$b + 2 \geq 4$
202249	Solve for y	square root of y+(y+2)=6	$\sqrt{y + (y + 2)} = 6$
202250	Solve for x	5^(2x-7)=5^(2x+4)	$5^{2 x - 7} = 5^{2 x + 4}$
202251	Evaluate the Function	y=1/4(4)^x for x=3/2	$y = \frac{1}{4} {(4)}^{x}$ for $x = \frac{3}{2}$
202252	Evaluate	log base -1/2 of x=-7	$\log_{- \frac{1}{2}} (x) = - 7$
202253	Solve for x	2^x+2^(5-x)=12	$2^{x} + 2^{5 - x} = 12$
202254	Write as a Single Logarithm	2 log of x+ log of y-2 log of z	$2 \log (x) + \log (y) - 2 \log (z)$
202255	Graph	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
202256	Simplify the Radical Expression	square root of 75- square root of 27	$\sqrt{75} - \sqrt{27}$
202257	Convert to Rectangular	theta=-pi/4	$θ = - \frac{π}{4}$
202258	Simplify	( cube root of 108)÷( cube root of 2)	$\sqrt[3]{108} \div \sqrt[3]{2}$
202259	Simplify	((-9)^0J^-1k^-4)/(2^0)	$\frac{{(- 9)}^{0} J^{- 1} k^{- 4}}{2^{0}}$
202260	Solve for x	(x+2)+(x-1)=0	$(x + 2) + (x - 1) = 0$
202261	Find the Roots (Zeros)	y=x(x-1)^3	$y = x {(x - 1)}^{3}$
202262	Solve for x	(15(x-3))/5=3(2x-3)	$\frac{15 (x - 3)}{5} = 3 (2 x - 3)$
202263	Multiply	(5a-3a^3)(4a-1)	$(5 a - 3 a^{3}) (4 a - 1)$
202264	Solve for a	(2a+1)(6a-2)=3a(4a-1)+4	$(2 a + 1) \cdot (6 a - 2) = 3 a \cdot (4 a - 1) + 4$
202265	Graph Using a Table of Values	f(x) = square root of x+4	$f (x) = \sqrt{x + 4}$
202266	Simplify	((-x^-1y)^0)/(4w^-1y^2)	$\frac{{(- x^{- 1} y)}^{0}}{4 w^{- 1} y^{2}}$
202267	Combine Like Terms	(10x^2+3x+9)+(5x^2+x+4)	$(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)$
202268	Solve for x	(cos(x)+1)(tan(x)+1)=0	$(\cos (x) + 1) (\tan (x) + 1) = 0$
202269	Simplify the Radical Expression	cube root of 216/512	$\sqrt[3]{\frac{216}{512}}$
202270	Simplify	(3(y+8))/(9y+72)	$\frac{3 (y + 8)}{9 y + 72}$
202271	Solve for c	a=b(1c-1d)	$a = b (1 c - 1 d)$
202272	Simplify	square root of (64x^8)/16	$\sqrt{\frac{64 x^{8}}{16}}$
202273	Simplify	(2 square root of 6+8)(2 square root of 6-8)	$(2 \sqrt{6} + 8) (2 \sqrt{6} - 8)$
202274	Simplify the Radical Expression	5 square root of 13-3 square root of 13- square root of 13	$5 \sqrt{13} - 3 \sqrt{13} - \sqrt{13}$
202275	Simplify	(i-2)/(i-1)	$\frac{i - 2}{i - 1}$
202276	Simplify	(7x)/(x+7)*(2x+14)/14	$\frac{7 x}{x + 7} \cdot \frac{2 x + 14}{14}$
202277	Multiply	square root of 8y^5* square root of 40y^2	$\sqrt{8 y^{5}} \cdot \sqrt{40 y^{2}}$
202278	Simplify	(x-5)/(4x)-(2x+6)/(16x)	$\frac{x - 5}{4 x} - \frac{2 x + 6}{16 x}$
202279	Solve by Addition/Elimination	3x+3=3y 2x-6y=2	$3 x + 3 = 3 y$ $2 x - 6 y = 2$
202280	Solve for x	2(6x-7)^(1/3)-5=5	$2 {(6 x - 7)}^{\frac{1}{3}} - 5 = 5$
202281	Solve for m	-2.4(m-5/6)=-5	$- 2.4 (m - \frac{5}{6}) = - 5$
202282	Simplify	((a^2+4a+4)/(16-b^4))÷((4-a^2)/(4+b^2))	$\frac{a^{2} + 4 a + 4}{16 - b^{4}} \div \frac{4 - a^{2}}{4 + b^{2}}$
202283	Simplify	(3 square root of 8)/( square root of 3)	$\frac{3 \sqrt{8}}{\sqrt{3}}$
202284	Simplify	(-6a^5+3a^3-2a^2+1)-(4a^2+3a-7)	$(- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1) - (4 a^{2} + 3 a - 7)$
202285	Solve for x	x(x-2)-5=0	$x (x - 2) - 5 = 0$
202286	Solve for x	20/(2x-6)=(x+8)/39	$\frac{20}{2 x - 6} = \frac{x + 8}{39}$
202287	Solve for x	2(2x+1)-(3x)/2=(-3(4+x))/2	$2 (2 x + 1) - \frac{3 x}{2} = \frac{- 3 (4 + x)}{2}$
202288	Graph Using a Table of Values	y=0.25^x	$y = {0.25}^{x}$
202289	Simplify	3y^3z^43x^4y^2z^-3x^-2y^4z^2	$3 y^{3} z^{4} \cdot 3 x^{4} y^{2} z^{- 3} \cdot x^{- 2} y^{4} z^{2}$
202290	Solve for m	2+ square root of m-2=7	$2 + \sqrt{m - 2} = 7$
202291	Simplify	((y^0)/(y^n))^-1	${(\frac{y^{0}}{y^{n}})}^{- 1}$
202292	Write in Exponential Form	( cube root of a^3)^2	${(\sqrt[3]{a^{3}})}^{2}$
202293	Convert to Radical Form	((x^2+3)^(1/3))/((x^2-3)^(-1/3))	$\frac{{(x^{2} + 3)}^{\frac{1}{3}}}{{(x^{2} - 3)}^{- \frac{1}{3}}}$
202294	Evaluate	(-1/2)^2+3(-1/2)+5	${(- \frac{1}{2})}^{2} + 3 (- \frac{1}{2}) + 5$
202295	Simplify	(5^(1/4))+6(405^(1/4))	$(5^{\frac{1}{4}}) + 6 (405^{\frac{1}{4}})$
202296	Find the Equation Using Slope-Intercept Form	(4,2) ; slope 1/2	$(4, 2)$ ; slope $\frac{1}{2}$
202297	Find the Inverse	f(x)=(1-e^(-x))/(1+e^(-x))	$f (x) = \frac{1 - e^{- x}}{1 + e^{- x}}$
202298	Simplify	( square root of 5)/( square root of 5- square root of 15)	$\frac{\sqrt{5}}{\sqrt{5} - \sqrt{15}}$
202299	Solve for x	7+2(3-8x)=4-6(1+5x)	$7 + 2 (3 - 8 x) = 4 - 6 (1 + 5 x)$
202300	Write in Standard Form	-y^3+3y-3y^2+2	$- y^{3} + 3 y - 3 y^{2} + 2$