Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217101	Find the First Term	a_n=12+(n-1)*-2	$a_{n} = 12 + (n - 1) \cdot - 2$
217102	Graph	y<=-4x+3 and y>=2x-5	$y \leq - 4 x + 3$ and $y \geq 2 x - 5$
217103	Simplify the Radical Expression	i^17	$i^{17}$
217104	Solve for x	5/2=2/x	$\frac{5}{2} = \frac{2}{x}$
217105	Simplify the Radical Expression	( square root of 5n)/(2 square root of 15n^4)	$\frac{\sqrt{5 n}}{2 \sqrt{15 n^{4}}}$
217106	Evaluate	10( square root of 81-12)	$10 (\sqrt{81} - 12)$
217107	Solve for x	25^(2-2x)=(1/625)^(x+1)	$25^{2 - 2 x} = {(\frac{1}{625})}^{x + 1}$
217108	Solve for x	5x+1/4=61/4	$5 x + \frac{1}{4} = \frac{61}{4}$
217109	Solve for x	2x+7+x=5+4x-3	$2 x + 7 + x = 5 + 4 x - 3$
217110	Simplify	(x1/5)(2x2/5)	$(x \frac{1}{5}) (2 x \frac{2}{5})$
217111	Write in Slope-Intercept Form	(-4,-2) and (4,0)	$(- 4, - 2)$ and $(4, 0)$
217112	Simplify	(10m^5n^2-30mn)/(5mn)	$\frac{10 m^{5} n^{2} - 30 m n}{5 m n}$
217113	Simplify	(x^2-1)/(x^2)	$\frac{x^{2} - 1}{x^{2}}$
217114	Evaluate	70% of 20	$70 %$ of $20$
217115	Solve for n	-4=-8+ square root of 32-2n	$- 4 = - 8 + \sqrt{32 - 2 n}$
217116	Simplify	3x square root of (x^5)/81	$3 x \sqrt{\frac{x^{5}}{81}}$
217117	Solve the Inequality for x	5+4x>=x+8	$5 + 4 x \geq x + 8$
217118	Solve the Inequality for t	15+3/2t<=21	$15 + \frac{3}{2} t \leq 21$
217119	Simplify	2 square root of 24*5/( square root of 4)	$2 \sqrt{24} \cdot \frac{5}{\sqrt{4}}$
217120	Simplify/Condense	(1/(csc(x)))(tan(x)+cot(x))	$(\frac{1}{\csc (x)}) (\tan (x) + \cot (x))$
217121	Write in Standard Form	y=x/3+4	$y = \frac{x}{3} + 4$
217122	Simplify	((x+6)/3)÷(x/7)	$(\frac{x + 6}{3}) \div (\frac{x}{7})$
217123	Simplify	(cot(theta+pi)cos(theta))/(csc(theta+2pi))	$\frac{\cot (θ + π) \cos (θ)}{\csc (θ + 2 π)}$
217124	Graph	f(x)=(4-2x)/(1-x)	$f (x) = \frac{4 - 2 x}{1 - x}$
217125	Solve the Inequality for u	2(u-5)>14	$2 (u - 5) > 14$
217126	Evaluate	(-( square root of 8)/3)^2	${(- \frac{\sqrt{8}}{3})}^{2}$
217127	Evaluate	(8+24)÷(12*4)	$(8 + 24) \div (12 \cdot 4)$
217128	Simplify	( square root of 75- square root of 45)* square root of 15	$(\sqrt{75} - \sqrt{45}) \cdot \sqrt{15}$
217129	Solve by Factoring	12x^2-36x+27=0	$12 x^{2} - 36 x + 27 = 0$
217130	Convert to a Percentage	10 is what percent of 40	$10$ is what percent of $40$
217131	Simplify	a^2-2ab+b^2+2a^2+2ab+b^2	$a^{2} - 2 a b + b^{2} + 2 a^{2} + 2 a b + b^{2}$
217132	Factor by Grouping	1/125x^3+27y^3	$\frac{1}{125} x^{3} + 27 y^{3}$
217133	Simplify	c(-ab)(a^2b^2c^2)	$c (- a b) (a^{2} b^{2} c^{2})$
217134	Simplify	xy^4*3y^2x^2	$x y^{4} \cdot 3 y^{2} x^{2}$
217135	Solve for v	2/(v-5)=6/(3v-15)-4	$\frac{2}{v - 5} = \frac{6}{3 v - 15} - 4$
217136	Solve for n	(3n)/-5=9	$\frac{3 n}{- 5} = 9$
217137	Solve for n	n root of a/b=(n root of a)/(n root of b)	$\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
217138	Write as a Single Logarithm	5 log base b of x+1/2 log base b of x+2	$5 \log_{b} (x) + \frac{1}{2} \log_{b} (x + 2)$
217139	Simplify	(2a-20)/(6a)*(a-9)/(a-10)	$\frac{2 a - 20}{6 a} \cdot \frac{a - 9}{a - 10}$
217140	Solve the Inequality for x	-2x^2-3x+9<=-5x-3	$- 2 x^{2} - 3 x + 9 \leq - 5 x - 3$
217141	Solve for m	7( square root of m+1-3)=21	$7 (\sqrt{m + 1} - 3) = 21$
217142	Find the Excluded Values	44/(x^2+100)	$\frac{44}{x^{2} + 100}$
217143	Solve by Addition/Elimination	3x+y=2 6x+2y=4	$3 x + y = 2$ $6 x + 2 y = 4$
217144	Find the LCD	(2x)/(x+10) and 3/(10x)	$\frac{2 x}{x + 10}$ and $\frac{3}{10 x}$
217145	Find the Degree	3xy^3+5x^5y^3+x^3y^7-7x^2y	$3 x y^{3} + 5 x^{5} y^{3} + x^{3} y^{7} - 7 x^{2} y$
217146	Evaluate	3x-5y>=10	$3 x - 5 y \geq 10$
217147	Simplify	((4x^5y)/(-x^6y^3))^-2	${(\frac{4 x^{5} y}{- x^{6} y^{3}})}^{- 2}$
217148	Solve the Inequality for t	3t-2(t-1)>=5t-4(2+t)	$3 t - 2 (t - 1) \geq 5 t - 4 (2 + t)$
217149	Solve the System of Equations	8t+5h=220 5t+h=112	$8 t + 5 h = 220$ $5 t + h = 112$
217150	Simplify	square root of (243x^5y^6)/(144xy^3)	$\sqrt{\frac{243 x^{5} y^{6}}{144 x y^{3}}}$
217151	Simplify	x^2(xy^3)^2+y^2(x^2y^2)^2	$x^{2} {(x y^{3})}^{2} + y^{2} {(x^{2} y^{2})}^{2}$
217152	Simplify	(8b^(2/3)9t^(1/5))(8b^(5/3)9t^(3/5))	$(8 b^{\frac{2}{3}} \cdot 9 t^{\frac{1}{5}}) (8 b^{\frac{5}{3}} \cdot 9 t^{\frac{3}{5}})$
217153	Simplify	(5x^-2)^2(y^7z^-5)^-4	${(5 x^{- 2})}^{2} {(y^{7} z^{- 5})}^{- 4}$
217154	Simplify the Radical Expression	( square root of x)^3	${(\sqrt{x})}^{3}$
217155	Simplify	(-x)/-1	$\frac{- x}{- 1}$
217156	Simplify	(1-x/3)^2	${(1 - \frac{x}{3})}^{2}$
217157	Simplify	(5- square root of 5)/( square root of 5+ square root of 3)	$\frac{5 - \sqrt{5}}{\sqrt{5} + \sqrt{3}}$
217158	Plot	y>x-3	$y > x - 3$
217159	Find the x and y Intercepts	y=(4-x)(x-3)	$y = (4 - x) (x - 3)$
217160	Solve for n	2^2*2^n=(2^4)^3	$2^{2} \times 2^{n} = {(2^{4})}^{3}$
217161	Simplify	(8x-6x^3)/(-9x^3+12x)	$\frac{8 x - 6 x^{3}}{- 9 x^{3} + 12 x}$
217162	Find the LCD	1/(6x) and 3/(2x+10)	$\frac{1}{6 x}$ and $\frac{3}{2 x + 10}$
217163	Simplify	(5x-4)(2+3x)+(x-5)^2	$(5 x - 4) (2 + 3 x) + {(x - 5)}^{2}$
217164	Solve for t	h(t)=320-16t^2	$h (t) = 320 - 16 t^{2}$
217165	Simplify	3 square root of 7/25- square root of 28/25+ square root of 63/25	$3 \sqrt{\frac{7}{25}} - \sqrt{\frac{28}{25}} + \sqrt{\frac{63}{25}}$
217166	Simplify	(1-tan(x)^2)/(cot(x)^2-1)	$\frac{1 - \tan^{2} (x)}{\cot^{2} (x) - 1}$
217167	Solve for x	3/5(x-7/10)=-3 1/4	$\frac{3}{5} (x - \frac{7}{10}) = - 3 \frac{1}{4}$
217168	Identify the Sequence	-5 , -4 , -1 , 4 , 11 , 20 , 31	$- 5$ , $- 4$ , $- 1$ , $4$ , $11$ , $20$ , $31$
217169	Simplify the Radical Expression	( square root of a^5)/( cube root of a^2)	$\frac{\sqrt{a^{5}}}{\sqrt[3]{a^{2}}}$
217170	Simplify	(x+1)^3*(x+1)^4	${(x + 1)}^{3} \cdot {(x + 1)}^{4}$
217171	Solve the Absolute Value Inequality for x	\|3-x\|-\|x+2\|=5	$\| 3 - x \| - \| x + 2 \| = 5$
217172	Find the Inverse	f(x)=(3x+2)/(2+x)	$f (x) = \frac{3 x + 2}{2 + x}$
217173	Simplify	fourth root of 1/16m^12x^16	$\sqrt[4]{\frac{1}{16} m^{12} x^{16}}$
217174	Solve for g	square root of g+2 = square root of 2g-5	$\sqrt{g + 2} = \sqrt{2 g - 5}$
217175	Evaluate	38+2-(16*34)÷2 square root of 38	$38 + 2 - 16 \cdot 34 \div 2 \sqrt{38}$
217176	Simplify	(x-2)/(3x^3)*(9x^2)/(x^2-4x+4)	$\frac{x - 2}{3 x^{3}} \cdot \frac{9 x^{2}}{x^{2} - 4 x + 4}$
217177	Simplify	square root of 8+ square root of 12	$\sqrt{8} + \sqrt{12}$
217178	Write the Fraction in Simplest Form	((3t^-4n^-5)^-3)/(4n^3)	$\frac{{(3 t^{- 4} n^{- 5})}^{- 3}}{4 n^{3}}$
217179	Simplify	-5/(2(x-4)^2+6)	$\frac{- 5}{2 {(x - 4)}^{2} + 6}$
217180	Simplify	(6^-5*6^4)^-1	${(6^{- 5} \cdot 6^{4})}^{- 1}$
217181	Solve for x	x^2-8y=121.5	$x^{2} - 8 y = 121.5$
217182	Solve the Inequality for b	b-7>-9	$b - 7 > - 9$
217183	Graph	y<=3x-2 and y>=-4x+2	$y \leq 3 x - 2$ and $y \geq - 4 x + 2$
217184	Solve for x	0.5(x+3)-0.8(x+3)=-0.3x-0.9	$0.5 (x + 3) - 0.8 (x + 3) = - 0.3 x - 0.9$
217185	Find the Degree	-r^2+r^4 square root of 3-2r^5	$- r^{2} + r^{4} \sqrt{3} - 2 r^{5}$
217186	Graph	3x+4y>=12 2x-5y>=10	$3 x + 4 y \geq 12$ $2 x - 5 y \geq 10$
217187	Simplify	5xy^3z^4 square root of 384x^20yz^9	$5 x y^{3} z^{4} \sqrt{384 x^{20} y z^{9}}$
217188	Solve for t	5(2t-1)+3=3(3t+2)	$5 (2 t - 1) + 3 = 3 (3 t + 2)$
217189	Simplify the Radical Expression	-2 cube root of -6+2 fourth root of 96-3 cube root of 750	$- 2 \sqrt[3]{- 6} + 2 \sqrt[4]{96} - 3 \sqrt[3]{750}$
217190	Simplify the Radical Expression	cube root of 27x-81-5	$\sqrt[3]{27 x - 81} - 5$
217191	Simplify	- square root of (x^2-6)^8	$- \sqrt{{(x^{2} - 6)}^{8}}$
217192	Simplify	(30-2x)(18-2x)(x)	$(30 - 2 x) (18 - 2 x) (x)$
217193	Divide	4÷(-10/11)	$4 \div (- \frac{10}{11})$
217194	Simplify the Radical Expression	(2+ square root of 5)/(6- square root of 3)	$\frac{2 + \sqrt{5}}{6 - \sqrt{3}}$
217195	Simplify	square root of 2x^2* square root of 50x^3	$\sqrt{2 x^{2}} \cdot \sqrt{50 x^{3}}$
217196	Evaluate	4*(5^2-12)-6	$4 \cdot (5^{2} - 12) - 6$
217197	Write in Exponential Form	cube root of c^-5	$\sqrt[3]{c^{- 5}}$
217198	Evaluate	(( square root of 5)/2)^2	${(\frac{\sqrt{5}}{2})}^{2}$
217199	Evaluate the Function	f(-3)=(t(t-3))/(t-2)+(4-t)/(t-2)	$f (- 3) = \frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
217200	Simplify	-9np(8n^2p^2+11np-13)+10np(7n^2p^2+9np+14)	$- 9 n p (8 n^{2} p^{2} + 11 n p - 13) + 10 n p (7 n^{2} p^{2} + 9 n p + 14)$