Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21301	Find the Domain	y=x^5+10x^4+15x^3-70x^2-76x+120	$y = x^{5} + 10 x^{4} + 15 x^{3} - 70 x^{2} - 76 x + 120$
21302	Find the Domain	y=(x+3)/(x-5)	$y = \frac{x + 3}{x - 5}$
21303	Find the Domain	y=0.25(x-5)(x+4)(x+4)	$y = 0.25 (x - 5) (x + 4) (x + 4)$
21304	Find the Domain	y=-1*2^(x-1)+4	$y = - 1 \cdot 2^{x - 1} + 4$
21305	Find the Domain	y=12	$y = 12$
21306	Find the Domain	y=15x-10	$y = 15 x - 10$
21307	Find the Domain	y=2x^2-8x+12	$y = 2 x^{2} - 8 x + 12$
21308	Find the Domain	y=(3x)/(x^2-1)	$y = \frac{3 x}{x^{2} - 1}$
21309	Find the Domain	y=-3x^2-24x+k	$y = - 3 x^{2} - 24 x + k$
21310	Find the Domain	y=3x-3	$y = 3 x - 3$
21311	Find the Domain	y=-4x+8	$y = - 4 x + 8$
21312	Find the Domain	y=4x-1	$y = 4 x - 1$
21313	Find the Domain	y=644.5x*9+30839.7	$y = 644.5 x \cdot 9 + 30839.7$
21314	Find the Domain	y=7(x-1)^2	$y = 7 {(x - 1)}^{2}$
21315	Find the Domain	y=-8x+1	$y = - 8 x + 1$
21316	Find the Domain	y=9x-30	$y = 9 x - 30$
21317	Find the Domain	y=h(x-4)	$y = h (x - 4)$
21318	Find the Domain	y = natural log of 1/(x-8)	$y = \ln (\frac{1}{x - 8})$
21319	Find the Domain	y-2=0	$y - 2 = 0$
21320	Find the Domain	z=(190-180)/7	$z = \frac{190 - 180}{7}$
21321	Find the Domain	z=0.20+0.50	$z = 0.2 + 0.5$
21322	Find the Domain	z=1.50x+0.75y	$z = 1.5 x + 0.75 y$
21323	Find the Domain	z=2x+6y	$z = 2 x + 6 y$
21324	Find the Domain	z=2x-y	$z = 2 x - y$
21325	Find the Domain	z=5x+6y	$z = 5 x + 6 y$
21326	Find the Domain	z=6x+y	$z = 6 x + y$
21327	Simplify	a^2b^(3 fifth root of a^4+b^2)	$a^{2} b^{3 \sqrt[5]{a^{4} + b^{2}}}$
21328	Simplify	(-5 square root of (5)^2-43-2)/(2(3))	$\frac{- 5 \sqrt{{(5)}^{2} - 4 \cdot 3 \cdot - 2}}{2 (3)}$
21329	Simplify	7/(x^2-9)+6/(x^2-7x+12)-5/(x^2-x-12)	$\frac{7}{x^{2} - 9} + \frac{6}{x^{2} - 7 x + 12} - \frac{5}{x^{2} - x - 12}$
21330	Simplify	(250(1+0.00625)^180)/0.00625-1	$\frac{250 {(1 + 0.00625)}^{180}}{0.00625} - 1$
21331	Divide	(7y)/(2y)	$\frac{7 y}{2 y}$
21332	Reduce	((-4/3(ab))(9/4(a^2b)))/((-2ab)^2)	$\frac{(- \frac{4}{3} \cdot (a b)) (\frac{9}{4} \cdot (a^{2} b))}{{(- 2 a b)}^{2}}$
21333	Reduce	(x^3-3x^2-3)÷(x+2)	$(x^{3} - 3 x^{2} - 3) \div (x + 2)$
21334	Reduce	(y^3+11y^2-10y-6)÷(y+2)	$(y^{3} + 11 y^{2} - 10 y - 6) \div (y + 2)$
21335	Reduce	((-3x^2+x-6hx-3h^2)-(x+h))/h	$\frac{(- 3 x^{2} + x - 6 h x - 3 h^{2}) - (x + h)}{h}$
21336	Reduce	((x+h)^2-6-x^2-6)/h	$\frac{{(x + h)}^{2} - 6 - x^{2} - 6}{h}$
21337	Reduce	(5^(3/2)b^(3/2)*(81a^6))/((5a)^(3/2)(9b)^4)	$\frac{5^{\frac{3}{2}} b^{\frac{3}{2}} \cdot (81 a^{6})}{{(5 a)}^{\frac{3}{2}} {(9 b)}^{4}}$
21338	Reduce	(e^14-e^-14)/(e^7-e^-7)	$\frac{e^{14} - e^{- 14}}{e^{7} - e^{- 7}}$
21339	Reduce	((m^(3x+y))(2m^(x-2y)))/(3m^(-2x+3y))	$\frac{(m^{3 x + y}) (2 m^{x - 2 y})}{3 m^{- 2 x + 3 y}}$
21340	Reduce	((x^2y^2)(x^6y))/(x^8y^6)	$\frac{(x^{2} y^{2}) (x^{6} y)}{x^{8} y^{6}}$
21341	Reduce	(x^2+2)/(x-1)	$\frac{x^{2} + 2}{x - 1}$
21342	Reduce	(x^2+2x+3)/(x^(2-9))	$\frac{x^{2} + 2 x + 3}{x^{2 - 9}}$
21343	Reduce	(x^2+4x+5)/(x+1)	$\frac{x^{2} + 4 x + 5}{x + 1}$
21344	Reduce	(x^2+6x-7)/(x-1)	$\frac{x^{2} + 6 x - 7}{x - 1}$
21345	Reduce	(1-(1+i)^(-n))/i	$\frac{1 - {(1 + i)}^{- n}}{i}$
21346	Reduce	(10x^4+14x^3+18)/(2x)	$\frac{10 x^{4} + 14 x^{3} + 18}{2 x}$
21347	Reduce	(10xy^5)/(16x^7y^3z^2)	$\frac{10 x y^{5}}{16 x^{7} y^{3} z^{2}}$
21348	Reduce	(12x^2-6.2x+24)/2	$\frac{12 x^{2} - 6.2 x + 24}{2}$
21349	Reduce	(15a^3b-12a^2b^2+15ab^3)/(-3a)	$\frac{15 a^{3} b - 12 a^{2} b^{2} + 15 a b^{3}}{- 3 a}$
21350	Reduce	(2 square root of h+4-h-4)/(2(h+4))	$\frac{2 \sqrt{h + 4} - h - 4}{2 (h + 4)}$
21351	Reduce	(2x^-2)/(x^-1y^2)	$\frac{2 x^{- 2}}{x^{- 1} y^{2}}$
21352	Reduce	(2x^5-3x^4+6x-2)/(x-3)	$\frac{2 x^{5} - 3 x^{4} + 6 x - 2}{x - 3}$
21353	Reduce	((2n)i)/(ni)	$\frac{(2 n) i}{n i}$
21354	Reduce	(2n-1)/(2(n+1)-1)	$\frac{2 n - 1}{2 (n + 1) - 1}$
21355	Reduce	(2r)/(5s)	$\frac{2 r}{5 s}$
21356	Reduce	(2s-4)/((s^2+s)(s^2+1))	$\frac{2 s - 4}{(s^{2} + s) (s^{2} + 1)}$
21357	Reduce	((3x^2)(4x^3))/(2x^4)	$\frac{(3 x^{2}) (4 x^{3})}{2 x^{4}}$
21358	Reduce	(5x^4-2x^3-7x^2-39)/(x^2+2x-4)	$\frac{5 x^{4} - 2 x^{3} - 7 x^{2} - 39}{x^{2} + 2 x - 4}$
21359	Reduce	(-(-6)- square root of (-6)^2-415)/(2(1))	$\frac{- (- 6) - \sqrt{{(- 6)}^{2} - 4 \cdot 1 \cdot 5}}{2 (1)}$
21360	Reduce	((6x^2+x)(7)-(7x-8)(12x+1))/((6x^2+x)^2)	$\frac{(6 x^{2} + x) (7) - (7 x - 8) (12 x + 1)}{{(6 x^{2} + x)}^{2}}$
21361	Reduce	((6+h^2)-36)/h	$\frac{(6 + h^{2}) - 36}{h}$
21362	Reduce	(6i)/(3-i)	$\frac{6 i}{3 - i}$
21363	Reduce	(-9+ square root of 21)/-6	$\frac{- 9 + \sqrt{21}}{- 6}$
21364	Reduce	(((w7)/8)^3w1)/8	$\frac{{(\frac{w \cdot 7}{8})}^{3} w \cdot 1}{8}$
21365	Reduce	(0.368-0.35)/( square root of ((0.35)(0.65))/410)	$\frac{0.368 - 0.35}{\sqrt{\frac{(0.35) (0.65)}{410}}}$
21366	Reduce	(((5-i)/(7+i))^2)/(2*i/(3+i))	$\frac{{(\frac{5 - i}{7 + i})}^{2}}{2 \cdot \frac{i}{3 + i}}$
21367	Reduce	((- square root of 3+2 square root of 2)^2-(-1- square root of 3)+4 square root of 6)/(1- square root of 3)	$\frac{{(- \sqrt{3} + 2 \sqrt{2})}^{2} - (- 1 - \sqrt{3}) + 4 \sqrt{6}}{1 - \sqrt{3}}$
21368	Reduce	((-x^0y^4)^-5)/(yx^2*(-x^2y^-4))	$\frac{{(- x^{0} y^{4})}^{- 5}}{y x^{2} \cdot (- x^{2} y^{- 4})}$
21369	Reduce	((x^3y^2)^(1/6))/((x^-7y^-1)^(-1/3))	$\frac{{(x^{3} y^{2})}^{\frac{1}{6}}}{{(x^{- 7} y^{- 1})}^{- \frac{1}{3}}}$
21370	Reduce	((x^4y^-3)^-2)/(x^5y^2)	$\frac{{(x^{4} y^{- 3})}^{- 2}}{x^{5} y^{2}}$
21371	Reduce	((5a^-2)^-1)/(5a^2)	$\frac{{(5 a^{- 2})}^{- 1}}{5 a^{2}}$
21372	Reduce	((5-x)^3(2x+9))/(x^3-27)	$\frac{{(5 - x)}^{3} (2 x + 9)}{x^{3} - 27}$
21373	Reduce	((1/x-1/y)/(x-y))/(xy)	$\frac{\frac{\frac{1}{x} - \frac{1}{y}}{x - y}}{x y}$
21374	Reduce	((p^4)/r)/((p^2)/(r^2))	$\frac{\frac{p^{4}}{r}}{\frac{p^{2}}{r^{2}}}$
21375	Reduce	((x^2-y^2)/(xy))/(1/y-1/x)	$\frac{\frac{x^{2} - y^{2}}{x y}}{\frac{1}{y} - \frac{1}{x}}$
21376	Reduce	((x^2-16)/(x^2-10x+25))/((3x-12)/(x^2-3x-10))	$\frac{\frac{x^{2} - 16}{x^{2} - 10 x + 25}}{\frac{3 x - 12}{x^{2} - 3 x - 10}}$
21377	Reduce	((x^2-16)/(3x^2))/(x-4)	$\frac{\frac{x^{2} - 16}{3 x^{2}}}{x - 4}$
21378	Reduce	((x^2-9)/(27x))/((3-x)/(3xy))	$\frac{\frac{x^{2} - 9}{27 x}}{\frac{3 - x}{3 x y}}$
21379	Reduce	((x^2-9x+14)/(x^2-6x+5))/((x^2-8x+7)/(x^2-7x+10))	$\frac{\frac{x^{2} - 9 x + 14}{x^{2} - 6 x + 5}}{\frac{x^{2} - 8 x + 7}{x^{2} - 7 x + 10}}$
21380	Reduce	(1/x+5/(x+1))/(8/(x+1)-7/(x+1))	$\frac{\frac{1}{x} + \frac{5}{x + 1}}{\frac{8}{x + 1} - \frac{7}{x + 1}}$
21381	Reduce	((2x^2+3x-2)/(x^2-14x+49))/((2x^2+2x-4)/(42-6x))	$\frac{\frac{2 x^{2} + 3 x - 2}{x^{2} - 14 x + 49}}{\frac{2 x^{2} + 2 x - 4}{42 - 6 x}}$
21382	Find the Roots (Zeros)	f(x)=-5x-1	$f (x) = - 5 x - 1$
21383	Find the Roots (Zeros)	f(x)=625-5 square root of x	$f (x) = 625 - 5 \sqrt{x}$
21384	Find the Roots (Zeros)	f(x)=68000(1-0.13)^10	$f (x) = 68000 {(1 - 0.13)}^{10}$
21385	Find the Roots (Zeros)	f(x)=6x+3x+4x	$f (x) = 6 x + 3 x + 4 x$
21386	Find the Roots (Zeros)	f(x)=6x-10	$f (x) = 6 x - 10$
21387	Find the Roots (Zeros)	f(x)=8(x+3)	$f (x) = 8 (x + 3)$
21388	Find the Roots (Zeros)	f(x) = natural log of x-1	$f (x) = \ln (x - 1)$
21389	Find the Roots (Zeros)	f(x)=m+b	$f (x) = m + b$
21390	Find the Roots (Zeros)	f(x)=mx+b	$f (x) = m x + b$
21391	Find the Roots (Zeros)	f(x)=sin(a)	$f (x) = \sin (a)$
21392	Find the Roots (Zeros)	f(x)=xe(1-x)	$f (x) = x e (1 - x)$
21393	Find the Roots (Zeros)	f=(18x^3-9x^2-5x+2)	$f = (18 x^{3} - 9 x^{2} - 5 x + 2)$
21394	Find the Roots (Zeros)	fx=2x^2-14x+24	$f x = 2 x^{2} - 14 x + 24$
21395	Find the Roots (Zeros)	g(1) = log base 3 of x	$g (1) = \log_{3} (x)$
21396	Find the Roots (Zeros)	g(x)=(x-3)^2-4	$g (x) = {(x - 3)}^{2} - 4$
21397	Find the Roots (Zeros)	g(x)=\|x\|-2	$g (x) = \| x \| - 2$
21398	Find the Roots (Zeros)	G(x)=3x-1	$G (x) = 3 x - 1$
21399	Find the Roots (Zeros)	h(r)=3r^2+5	$h (r) = 3 r^{2} + 5$
21400	Find the Roots (Zeros)	h(t)=-16t^2+224t	$h (t) = - 16 t^{2} + 224 t$