Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218201	Simplify	square root of 4st^3 sixth root of s^3t^2	$\sqrt{4 s t^{3}} \sqrt[6]{s^{3} t^{2}}$
218202	Solve for C	3C+4(-4/7)=5	$3 C + 4 (- \frac{4}{7}) = 5$
218203	Write in Slope-Intercept Form	x-y>=0	$x - y \geq 0$
218204	Simplify	(x^(-a))/(x^(-b)x^c)	$\frac{x^{- a}}{x^{- b} x^{c}}$
218205	Solve for x	7^(1/2)*7^(1/x)=10 root of 7^7	$7^{\frac{1}{2}} \cdot 7^{\frac{1}{x}} = \sqrt[10]{7^{7}}$
218206	Simplify the Radical Expression	2 square root of 3*2	$2 \sqrt{3} \cdot 2$
218207	Solve the Inequality for x	-4x^2+28x<40	$- 4 x^{2} + 28 x < 40$
218208	Write in Standard Form	1/2x-3x^4+7	$\frac{1}{2} x - 3 x^{4} + 7$
218209	Simplify	((3x)^(1/3)*(3x)^(7/3))/((3x)^(2/3))	$\frac{{(3 x)}^{\frac{1}{3}} \cdot {(3 x)}^{\frac{7}{3}}}{{(3 x)}^{\frac{2}{3}}}$
218210	Evaluate	0.45m-9=0.9m	$0.45 m - 9 = 0.9 m$
218211	Simplify	(7y^2+2y-3)+(2-4y+5y)	$(7 y^{2} + 2 y - 3) + (2 - 4 y + 5 y)$
218212	Simplify	(4 square root of 48)/( square root of 9)	$\frac{4 \sqrt{48}}{\sqrt{9}}$
218213	Solve the Inequality for x	x^2>=5x+24	$x^{2} \geq 5 x + 24$
218214	Solve for x	10-16x=-6x^2	$10 - 16 x = - 6 x^{2}$
218215	Solve Using the Quadratic Formula	5u(u+2)+5=0	$5 u (u + 2) + 5 = 0$
218216	Divide	8÷( square root of 8)	$8 \div \sqrt{8}$
218217	Evaluate	square root of 4-3x=x	$\sqrt{4 - 3 x} = x$
218218	Find the Degree	4xy^2+3x-5	$4 x y^{2} + 3 x - 5$
218219	Divide	((x^2-x-12)/(4x+12))÷((x^2-6x+8)/6)	$\frac{x^{2} - x - 12}{4 x + 12} \div \frac{x^{2} - 6 x + 8}{6}$
218220	Write in Standard Form	(2+4i^5)+(1-9i^6)-(3+i^7)	$(2 + 4 i^{5}) + (1 - 9 i^{6}) - (3 + i^{7})$
218221	Solve for y	9-4y^2=57	$9 - 4 y^{2} = 57$
218222	Write the Fraction in Simplest Form	(4t^9s)/((2t^4s^-3)^-3)	$\frac{4 t^{9} s}{{(2 t^{4} s^{- 3})}^{- 3}}$
218223	Graph	-2\|x+1\|+11<5	$- 2 \| x + 1 \| + 11 < 5$
218224	Solve for b	256^(b+2)=4^(2-2b)	$256^{b + 2} = 4^{2 - 2 b}$
218225	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-2x(x-1)(3-x)^2	$h (x) = - 2 x (x - 1) {(3 - x)}^{2}$
218226	Solve for x	square root of 2x+5-4=3	$\sqrt{2 x + 5 - 4} = 3$
218227	Solve for k	1/3(9k+12)=15	$\frac{1}{3} (9 k + 12) = 15$
218228	Solve for p	3/(2p+5)=1/(9p)	$\frac{3}{2 p + 5} = \frac{1}{9 p}$
218229	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-2x^3-7x^2-12x-9 is divided by x+1	Use synthetic division to find the result when $2 x^{4} - 2 x^{3} - 7 x^{2} - 12 x - 9$ is divided by $x + 1$
218230	Solve for x	h(x)=(-4x-5)(-x+5)	$h (x) = (- 4 x - 5) (- x + 5)$
218231	Simplify the Radical Expression	( square root of 11- square root of 10)/( square root of 11+ square root of 10)	$\frac{\sqrt{11} - \sqrt{10}}{\sqrt{11} + \sqrt{10}}$
218232	Solve the Inequality for g	25g>=-100	$25 g \geq - 100$
218233	Simplify	(6i)/(9-9i)	$\frac{6 i}{9 - 9 i}$
218234	Simplify	square root of 2ab+ fourth root of 4a^2b^2	$\sqrt{2 a b} + \sqrt[4]{4 a^{2} b^{2}}$
218235	Evaluate	sin(0)+cos(0)	$\sin (0) + \cos (0)$
218236	Divide	(45p^5q^4-60p^3q^2-15p^2q^3)/(15p^2q^3)	$\frac{45 p^{5} q^{4} - 60 p^{3} q^{2} - 15 p^{2} q^{3}}{15 p^{2} q^{3}}$
218237	Solve the Inequality for x	(\|x+6\|)/8<=1	$\frac{\| x + 6 \|}{8} \leq 1$
218238	Graph	y=x-2 5x-5y=10	$y = x - 2$ $5 x - 5 y = 10$
218239	Solve for x	850=(54.5)(4.22)+1/2(x)(4.22)^2	$850 = (54.5) (4.22) + \frac{1}{2} (x) {(4.22)}^{2}$
218240	Simplify	(-2x^2y^6*4x^3y^6)^2	${(- 2 x^{2} y^{6} \cdot 4 x^{3} y^{6})}^{2}$
218241	Find the Exact Value	1+tan(x)^2	$1 + \tan^{2} (x)$
218242	Evaluate	arcsin(sin(pi/12))	$\arcsin (\sin (\frac{π}{12}))$
218243	Simplify	(c+6b)/(ac+2bc-6ab-3a^2)+(2b)/(a^2+2ab)-b/(ac-3a^2)	$\frac{(c + 6 b)}{a c + 2 b c - 6 a b - 3 a^{2}} + \frac{2 b}{a^{2} + 2 a b} - \frac{b}{a c - 3 a^{2}}$
218244	Solve for z	(12z+1)(7z-5)=0	$(12 z + 1) (7 z - 5) = 0$
218245	Simplify	1/4xy(4xy)^3	$\frac{1}{4} x y {(4 x y)}^{3}$
218246	Solve for y	(x+y)/2=6	$\frac{x + y}{2} = 6$
218247	Evaluate	cube root of 1000/-1331	$\sqrt[3]{\frac{1000}{- 1331}}$
218248	Simplify the Radical Expression	12 square root of 25/64	$12 \sqrt{\frac{25}{64}}$
218249	Find the Domain and Range	- cube root of 2x	$- \sqrt[3]{2 x}$
218250	Solve Using the Square Root Property	3(x+1)^2-15=-12	$3 {(x + 1)}^{2} - 15 = - 12$
218251	Find the Inverse	y=(2x-1)/(x+3)	$y = \frac{2 x - 1}{x + 3}$
218252	Subtract	-3x^2-x-10 and 10x^2+x-10	$- 3 x^{2} - x - 10$ and $10 x^{2} + x - 10$
218253	Simplify	(-3u^2)(-u^2v^2)(2uv)	$(- 3 u^{2}) (- u^{2} v^{2}) (2 u v)$
218254	Find All Complex Solutions	31p^2+10p+1=6p^2	$31 p^{2} + 10 p + 1 = 6 p^{2}$
218255	Simplify	(m^3)^-1(x^(1/3))^(1/4)	${(m^{3})}^{- 1} {(x^{\frac{1}{3}})}^{\frac{1}{4}}$
218256	Simplify	(2x+1)/(x-2)+(x-3)/(x^2+2x-8)	$\frac{2 x + 1}{x - 2} + \frac{x - 3}{x^{2} + 2 x - 8}$
218257	Solve for x	square root of (x+1)^3=9	$\sqrt{{(x + 1)}^{3}} = 9$
218258	Simplify	x^2(-10x^2+1)	$x^{2} (- 10 x^{2} + 1)$
218259	Simplify	3/(3-3/(x+3))-3/(3+3/(x+3))	$\frac{3}{3 - \frac{3}{x + 3}} - \frac{3}{3 + \frac{3}{x + 3}}$
218260	Evaluate	1+ log base 2 of 3	$1 + \log_{2} (3)$
218261	Simplify	( square root of 3- square root of 8)/( square root of 8+ square root of 12)	$\frac{\sqrt{3} - \sqrt{8}}{\sqrt{8} + \sqrt{12}}$
218262	Factor	16a^3bc-49ab^3c	$16 a^{3} b c - 49 a b^{3} c$
218263	Find the Degree	w^5+w^8x^3y^6-y^7	$w^{5} + w^{8} x^{3} y^{6} - y^{7}$
218264	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+19x^2+29x+14 is divided by 4x+7	Use the long division method to find the result when $4 x^{3} + 19 x^{2} + 29 x + 14$ is divided by $4 x + 7$
218265	Find the Quotient	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
218266	Solve for y	5+3(y-4)=5(y+2)-y	$5 + 3 (y - 4) = 5 (y + 2) - y$
218267	Solve for k	square root of k-4-1=5	$\sqrt{k - 4} - 1 = 5$
218268	Simplify	square root of cube root of 9m^4	$\sqrt{\sqrt[3]{9 m^{4}}}$
218269	Evaluate	7/(sin(30))	$\frac{7}{\sin (30)}$
218270	Find the Domain and Range	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
218271	Find the Parabola with Focus (0,4) and Directrix y=2	(0,4) y=2	$(0, 4)$ $y = 2$
218272	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-3x^3-3x^2+11x+10 is divided by x+1	Use synthetic division to find the result when $x^{4} - 3 x^{3} - 3 x^{2} + 11 x + 10$ is divided by $x + 1$
218273	Solve the System of Equations	x-y+2z=2 2y-4z=8 -x+4z=-10	$x - y + 2 z = 2$ $2 y - 4 z = 8$ $- x + 4 z = - 10$
218274	Solve for n	8^(n-2) = square root of 8	$8^{n - 2} = \sqrt{8}$
218275	Solve the System of Inequalities	0.7x-2.1<0 2/3x>1	$0.7 x - 2.1 < 0$ $\frac{2}{3} x > 1$
218276	Solve the Inequality for x	3x^2-8x-120>x	$3 x^{2} - 8 x - 120 > x$
218277	Simplify	(a^3b^-2)/(ab)	$\frac{a^{3} b^{- 2}}{a b}$
218278	Simplify	(a^-3b^-2)/(ab)	$\frac{a^{- 3} b^{- 2}}{a b}$
218279	Simplify	x/(x^2-25)+(x^2)/(x-5)	$\frac{x}{x^{2} - 25} + \frac{x^{2}}{x - 5}$
218280	Solve for x	(x+1)(x^2-3x+2)<0	$(x + 1) (x^{2} - 3 x + 2) < 0$
218281	Simplify	(5- square root of -49)+(2+3i)	$(5 - \sqrt{- 49}) + (2 + 3 i)$
218282	Write in Slope-Intercept Form	-2(x+3y)=12	$- 2 (x + 3 y) = 12$
218283	Simplify	(7x)/6*1/(3x)	$\frac{7 x}{6} \cdot \frac{1}{3 x}$
218284	Graph Using a Table of Values	y=(1/3)^x-2	$y = {(\frac{1}{3})}^{x} - 2$
218285	Evaluate	(1/3)÷(3/5)-1/2*3/5	$\frac{1}{3} \div \frac{3}{5} - \frac{1}{2} \cdot \frac{3}{5}$
218286	Graph	f(x)=(x^2-4)/(2x^2-11x+14)	$f (x) = \frac{x^{2} - 4}{2 x^{2} - 11 x + 14}$
218287	Divide	(9n^3+n^2+3n)/(9n^2)	$\frac{9 n^{3} + n^{2} + 3 n}{9 n^{2}}$
218288	Simplify	(512/216)^(1/3)	${(\frac{512}{216})}^{\frac{1}{3}}$
218289	Simplify	(16bc-12cd)+(8cd-6bc+4bd)	$(16 b c - 12 c d) + (8 c d - 6 b c + 4 b d)$
218290	Solve the Inequality for x	-3x^2+45>=6x	$- 3 x^{2} + 45 \geq 6 x$
218291	Simplify	5/(y-3)+1/(y+3)-(4y-18)/(y^2-9)	$\frac{5}{y - 3} + \frac{1}{y + 3} - \frac{4 y - 18}{y^{2} - 9}$
218292	Simplify	5x^2-(3x-6x^2)+6+(7x-2)	$5 x^{2} - (3 x - 6 x^{2}) + 6 + (7 x - 2)$
218293	Solve for k	4*10^k=60	$4 \cdot 10^{k} = 60$
218294	Rationalize the Denominator	-2/(-4+ square root of 14)	$\frac{- 2}{- 4 + \sqrt{14}}$
218295	Simplify	(y^2)/(y-3)-6/(2y-6)	$\frac{y^{2}}{y - 3} - \frac{6}{2 y - 6}$
218296	Simplify	((2x)*(3x^2))/(x^2)	$\frac{(2 x) \cdot (3 x^{2})}{x^{2}}$
218297	Multiply	(5x^3)(4xy^2)	$(5 x^{3}) (4 x y^{2})$
218298	Simplify	((a^2-b^2)/(b^3))/((b^2-ab)/(a^2))	$\frac{\frac{a^{2} - b^{2}}{b^{3}}}{\frac{b^{2} - a b}{a^{2}}}$
218299	Simplify	((kn)^-5)/(v^2)	$\frac{{(k n)}^{- 5}}{v^{2}}$
218300	Find the Exact Value	csc((1pi)/4)	$\csc (\frac{1 π}{4})$