Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206301	Solve for x	square root of square root of x+25 = square root of x+5	$\sqrt{\sqrt{x + 25}} = \sqrt{x + 5}$
206302	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x-8x^3-x^4+6	$f (x) = 8 x - 8 x^{3} - x^{4} + 6$
206303	Simplify the Radical Expression	square root of 7* cube root of 7	$\sqrt{7} \cdot \sqrt[3]{7}$
206304	Solve for x	4x-(3(x-12)+1)=10	$4 x - (3 (x - 12) + 1) = 10$
206305	Solve for x	1/5x-1/2=1/10x-2	$\frac{1}{5} x - \frac{1}{2} = \frac{1}{10} x - 2$
206306	Find the Domain and Range	(3x^2-3)/(x^2-1)	$\frac{3 x^{2} - 3}{x^{2} - 1}$
206307	Write in Standard Form	-7+2x-x^5+4x^4+2x^3	$- 7 + 2 x - x^{5} + 4 x^{4} + 2 x^{3}$
206308	Simplify	(6a^4+9a^4)/(5a^2)	$\frac{6 a^{4} + 9 a^{4}}{5 a^{2}}$
206309	Simplify	(x^(-u)y^v)^(-a)(x^(-2u)y^(3v))^a	${(x^{- u} y^{v})}^{- a} {(x^{- 2 u} y^{3 v})}^{a}$
206310	Simplify	fourth root of 5^3* square root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt{5}$
206311	Simplify	sin(theta)^2+cos(theta)^2+tan(theta)^2-1	$\sin^{2} (θ) + \cos^{2} (θ) + \tan^{2} (θ) - 1$
206312	Simplify	(27x^2y^4)/(16yz^3)*(8z)/(9xy^3)	$\frac{27 x^{2} y^{4}}{16 y z^{3}} \cdot \frac{8 z}{9 x y^{3}}$
206313	Simplify the Radical Expression	(5x)^(-1/2)	${(5 x)}^{- \frac{1}{2}}$
206314	Simplify the Radical Expression	fourth root of 9x^2y^2	$\sqrt[4]{9 x^{2} y^{2}}$
206315	Simplify	cube root of 27* cube root of 2	$\sqrt[3]{27} \cdot \sqrt[3]{2}$
206316	Graph	-x^2-4x+32>=0	$- x^{2} - 4 x + 32 \geq 0$
206317	Multiply	6xy^3z*3x^2yx^2	$6 x y^{3} z \cdot 3 x^{2} y x^{2}$
206318	Solve for x	f(x+1)-f(x-1)=24	$f (x + 1) - f (x - 1) = 24$
206319	Solve the System of Equations	y=3/2x-7 x+y=-2	$y = \frac{3}{2} x - 7$ $x + y = - 2$
206320	Factor	(sec(x)^2-1)/(sec(x)-1)	$\frac{\sec^{2} (x) - 1}{\sec (x) - 1}$
206321	Solve for x	5(x-2)-2x=2(x+5)+x	$5 (x - 2) - 2 x = 2 (x + 5) + x$
206322	Evaluate	(2x+5)/(2x+3)=(x+3)/(x-1)	$\frac{2 x + 5}{2 x + 3} = \frac{x + 3}{x - 1}$
206323	Solve for x	4-2/5x=-(2x)/5-5	$4 - \frac{2}{5} x = - \frac{2 x}{5} - 5$
206324	Solve for x	x+1/2=x-1/2	$x + \frac{1}{2} = x - \frac{1}{2}$
206325	Solve by Substitution	2x+y=8 3x+3/2y=12	$2 x + y = 8$ $3 x + \frac{3}{2} y = 12$
206326	Solve for x	ag((3L)/2-x)=Agx	$a g (\frac{3 L}{2} - x) = A g x$
206327	Find the Degree, Leading Term, and Leading Coefficient	1/7+6x^3	$\frac{1}{7} + 6 x^{3}$
206328	Solve the Inequality for x	((x-3)(x-4))/((x-5)(x-6)^2)<0	$\frac{(x - 3) (x - 4)}{(x - 5) {(x - 6)}^{2}} < 0$
206329	Solve for x	(1-cos(x)^2)(1+cot(x)^2)=0	$(1 - \cos^{2} (x)) (1 + \cot^{2} (x)) = 0$
206330	Evaluate	(x-4)+(2x-7)	$(x - 4) + (2 x - 7)$
206331	Find the Product	square root of 13* seventh root of 13	$\sqrt{13} \cdot \sqrt[7]{13}$
206332	Solve for u	4(u+1)+U=8(u-1)+6	$4 (u + 1) + U = 8 (u - 1) + 6$
206333	Find the Equation Given the Roots	-6 , 0 , 3- square root of 5	$- 6$ , $0$ , $3 - \sqrt{5}$
206334	Simplify	i^6i^38i^25	$i^{6} \cdot i^{38} \cdot i^{25}$
206335	Solve for x	5.04-x=x-5 1/4	$5.04 - x = x - 5 \frac{1}{4}$
206336	Find the Inverse	f(x)=e^x-1	$f (x) = e^{x} - 1$
206337	Solve for x	square root of 4x-7- square root of 2x=1	$\sqrt{4 x - 7} - \sqrt{2 x} = 1$
206338	Solve for x	x/(x+1)+(x+1)/(x+2)=1	$\frac{x}{x + 1} + \frac{x + 1}{x + 2} = 1$
206339	Simplify	(3x+3x^2)+(2x-x^2)	$(3 x + 3 x^{2}) + (2 x - x^{2})$
206340	Write the Fraction in Simplest Form	((2y^2)^4)/(-10y^-1)	$\frac{{(2 y^{2})}^{4}}{- 10 y^{- 1}}$
206341	Factor	pm^2+5m^2-qn+pn-qm^2+5n	$p m^{2} + 5 m^{2} - q n + p n - q m^{2} + 5 n$
206342	Graph	y=-3/5x-1 y=-4/5x	$y = - \frac{3}{5} x - 1$ $y = - \frac{4}{5} x$
206343	Solve the System of Equations	2x+y=3 4x+2y=6	$2 x + y = 3$ $4 x + 2 y = 6$
206344	Simplify	( square root of 60x^4)/( square root of 5x^4)	$\frac{\sqrt{60 x^{4}}}{\sqrt{5 x^{4}}}$
206345	Simplify	8+(n-4)	$8 + (n - 4)$
206346	Solve for a	4(x-2)^2-7=ax^2+bx+c	$4 {(x - 2)}^{2} - 7 = a x^{2} + b x + c$
206347	Solve for x	-2 square root of 24x+13=-11	$- 2 \sqrt{24 x + 13} = - 11$
206348	Solve for y	-1/3y+10=-2/3y+7	$- \frac{1}{3} y + 10 = - \frac{2}{3} y + 7$
206349	Solve for x	2 cube root of x+2 = cube root of x+8	$2 \sqrt[3]{x + 2} = \sqrt[3]{x + 8}$
206350	Simplify	4(9^(1/4))+7(9^(1/4))	$4 (9^{\frac{1}{4}}) + 7 (9^{\frac{1}{4}})$
206351	Find the Degree, Leading Term, and Leading Coefficient	-1/6+x	$- \frac{1}{6} + x$
206352	Solve for y	-4y+13y+5=6y+32	$- 4 y + 13 y + 5 = 6 y + 32$
206353	Simplify	((5^-5)^4)/(5^5)	$\frac{{(5^{- 5})}^{4}}{5^{5}}$
206354	Subtract	1 1/8-5/8	$1 \frac{1}{8} - \frac{5}{8}$
206355	Solve for x	5/12-4/(3x+9)=3/4	$\frac{5}{12} - \frac{4}{3 x + 9} = \frac{3}{4}$
206356	Simplify	8x^2y^2 cube root of 135x^3y^7	$8 x^{2} y^{2} \sqrt[3]{135 x^{3} y^{7}}$
206357	Simplify	x/3*1/(4x^2)	$\frac{x}{3} \cdot \frac{1}{4 x^{2}}$
206358	Find the Degree, Leading Term, and Leading Coefficient	2x^4+5x^2+6x+1/4	$2 x^{4} + 5 x^{2} + 6 x + \frac{1}{4}$
206359	Simplify	(7/2)(4/5)(3/2)	$(\frac{7}{2}) (\frac{4}{5}) (\frac{3}{2})$
206360	Simplify	2y^3 cube root of 375x^7y^3	$2 y^{3} \sqrt[3]{375 x^{7} y^{3}}$
206361	Graph	y=1+1/2cos(pix)	$y = 1 + \frac{1}{2} \cos (π x)$
206362	Simplify	(5^2x^6)(5^3x^4)	$(5^{2} x^{6}) (5^{3} x^{4})$
206363	Simplify the Radical Expression	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
206364	Simplify	4k+6k-3k+3s-s	$4 k + 6 k - 3 k + 3 s - s$
206365	Find the Exact Value	arccos(cos(pi/2)+1)	$\arccos (\cos (\frac{π}{2}) + 1)$
206366	Write the Fraction in Simplest Form	(5(b)^2)/(5b^5)	$\frac{5 {(b)}^{2}}{5 b^{5}}$
206367	Multiply	(4-b)(5b^2+5b-4)	$(4 - b) (5 b^{2} + 5 b - 4)$
206368	Solve the Inequality for r	r-7/8>1	$r - \frac{7}{8} > 1$
206369	Solve for x	-11 cube root of x+13=-20	$- 11 \sqrt[3]{x + 13} = - 20$
206370	Solve for x	(1/6)^(-2x^2-8x)=(1/216)^(-2x-28)	${(\frac{1}{6})}^{- 2 x^{2} - 8 x} = {(\frac{1}{216})}^{- 2 x - 28}$
206371	Write the Fraction in Simplest Form	(4(c)^3)/(3c^7)	$\frac{4 {(c)}^{3}}{3 c^{7}}$
206372	Simplify	(5x^3+2xy^2-4y^3)-(10x^3-8xy^2-12y^3)	$(5 x^{3} + 2 x y^{2} - 4 y^{3}) - (10 x^{3} - 8 x y^{2} - 12 y^{3})$
206373	Simplify	( square root of 8)^3	${(\sqrt{8})}^{3}$
206374	Simplify	eighth root of (n^7)/(n^5)	$\sqrt[8]{\frac{n^{7}}{n^{5}}}$
206375	Simplify the Radical Expression	cube root of square root of 729	$\sqrt[3]{\sqrt{729}}$
206376	Simplify the Radical Expression	square root of 4x^2+x	$\sqrt{4 x^{2} + x}$
206377	Solve for l	s=n/2(a+l)	$s = \frac{n}{2} (a + l)$
206378	Factor	5ab(x+6)-4(x+6)	$5 a b (x + 6) - 4 (x + 6)$
206379	Simplify	(2^4)/((2^-6)^-1)	$\frac{2^{4}}{{(2^{- 6})}^{- 1}}$
206380	Simplify	2x^2(x^3+x^2+4x)	$2 x^{2} (x^{3} + x^{2} + 4 x)$
206381	Solve the Inequality for x	2x^3-5x^2+2x<0	$2 x^{3} - 5 x^{2} + 2 x < 0$
206382	Simplify	a(8+2b-6)	$a (8 + 2 b - 6)$
206383	Factor	x^3+2x^2+5x+10=0	$x^{3} + 2 x^{2} + 5 x + 10 = 0$
206384	Simplify	(3y^6)^2(x^5y^2z)	${(3 y^{6})}^{2} (x^{5} y^{2} z)$
206385	Simplify	(-5x-2/3)+(-4x-1/9)	$(- 5 x - \frac{2}{3}) + (- 4 x - \frac{1}{9})$
206386	Solve for a	a/2+1/5=21/10	$\frac{a}{2} + \frac{1}{5} = \frac{21}{10}$
206387	Convert to a Percentage	14 is what percent of 56 ?	$14$ is what percent of $56$ ?
206388	Simplify	i square root of 8/5i square root of 5i square root of 9/2	$i \sqrt{\frac{8}{5}} \cdot i \sqrt{5} \cdot i \sqrt{\frac{9}{2}}$
206389	Simplify	2x^3 cube root of 125x^9y^7	$2 x^{3} \sqrt[3]{125 x^{9} y^{7}}$
206390	Simplify the Radical Expression	(d^(1/8))^5	${(d^{\frac{1}{8}})}^{5}$
206391	Evaluate	(3-2x+2x^2)-(4x-5+3x^2)	$(3 - 2 x + 2 x^{2}) - (4 x - 5 + 3 x^{2})$
206392	Solve the Inequality for m	3<=m+1.4	$3 \leq m + 1.4$
206393	Simplify	(-6x+5)-(x^2-2x-6)	$(- 6 x + 5) - (x^{2} - 2 x - 6)$
206394	Simplify	(14x^2)^-4(3x)^4(13x^6)^2	${(14 x^{2})}^{- 4} {(3 x)}^{4} {(13 x^{6})}^{2}$
206395	Subtract	(-4x+3)-(7x-3x^2-1)	$(- 4 x + 3) - (7 x - 3 x^{2} - 1)$
206396	Solve for x	3x-4=2x+8-5x	$3 x - 4 = 2 x + 8 - 5 x$
206397	Simplify	i^4*i^6	$i^{4} \cdot i^{6}$
206398	Convert to a Decimal	2pirad	$2 π$ radians
206399	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3+2x^2	$f (x) = x^{3} + 2 x^{2}$
206400	Graph	p(x)=2-1/(2x-4)	$p (x) = 2 - \frac{1}{2 x - 4}$