Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204301	Solve for k	3(2k-5)=6(k-4)+9	$3 (2 k - 5) = 6 (k - 4) + 9$
204302	Simplify	(2x^(1/6))^3x^2	${(2 x^{\frac{1}{6}})}^{3} x^{2}$
204303	Simplify	((3^6)/(12^6))^(-1/6)	${(\frac{3^{6}}{12^{6}})}^{- \frac{1}{6}}$
204304	Divide	(20 square root of 3)÷5 square root of 3	$20 \sqrt{3} \div 5 \sqrt{3}$
204305	Evaluate	(-10x^2+x)+(-2x^2+9x+7)	$(- 10 x^{2} + x) + (- 2 x^{2} + 9 x + 7)$
204306	Solve for y	square root of y-7=0	$\sqrt{y} - 7 = 0$
204307	Evaluate	log base 3 of 54- log base 3 of 8/15+ log base 3 of 4/5	$\log_{3} (54) - \log_{3} (\frac{8}{15}) + \log_{3} (\frac{4}{5})$
204308	Graph	y<-2/3x+3 y<3/2x	$y < - \frac{2}{3} x + 3$ $y < \frac{3}{2} x$
204309	Evaluate	square root of 10^-6	$\sqrt{10^{- 6}}$
204310	Simplify	square root of k^7 cube root of k^11	$\sqrt{k^{7}} \sqrt[3]{k^{11}}$
204311	Simplify	(54/64)^(1/3)	${(\frac{54}{64})}^{\frac{1}{3}}$
204312	Plot	y<x+3	$y < x + 3$
204313	Solve for y	(3y-6)/9=(4-2y)/-3	$\frac{3 y - 6}{9} = \frac{4 - 2 y}{- 3}$
204314	Solve for x	5x+8/3=7	$5 x + \frac{8}{3} = 7$
204315	Simplify	square root of p/(p^-3)	$\sqrt{\frac{p}{p^{- 3}}}$
204316	Find the Holes in the Graph	(x^2-3x-10)/(2x^2+3x-2)	$\frac{x^{2} - 3 x - 10}{2 x^{2} + 3 x - 2}$
204317	Solve for x	3 1/2>=1.4x	$3 \frac{1}{2} \geq 1.4 x$
204318	Simplify	(2^-3+3^-2)/(2^-2)	$\frac{2^{- 3} + 3^{- 2}}{2^{- 2}}$
204319	Solve for x	6^(3x^2-3x)=36^(15x-36)	$6^{3 x^{2} - 3 x} = 36^{15 x - 36}$
204320	Find the Exact Value	cos(175)cos(55)+sin(175)sin(55)	$\cos (175) \cdot \cos (55) + \sin (175) \cdot \sin (55)$
204321	Find the Domain and Range	f(x)=x^4+x^3-4x^2+5	$f (x) = x^{4} + x^{3} - 4 x^{2} + 5$
204322	Solve for x	4=(-5x+8)/(2x-6)	$4 = \frac{- 5 x + 8}{2 x - 6}$
204323	Solve the Rational Equation for x	4+ square root of x-2=x	$4 + \sqrt{x - 2} = x$
204324	Find the Exact Value	27 1/3-16 1/4-4 1/2	$27 \frac{1}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$
204325	Evaluate	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
204326	Solve the Inequality for x	square root of 6x-18+6<=15	$\sqrt{6 x - 18} + 6 \leq 15$
204327	Simplify	square root of 5( square root of 5+ square root of 2-3)	$\sqrt{5} (\sqrt{5} + \sqrt{2} - 3)$
204328	Find All Complex Solutions	log base 4 of x=1- log base 4 of x-3	$\log_{4} (x) = 1 - \log_{4} (x - 3)$
204329	Simplify	2m(3/2m+1)+3(5/3m-2)	$2 m (\frac{3}{2} m + 1) + 3 (\frac{5}{3} m - 2)$
204330	Solve for x	sec(x)^2-tan(x)^2=1	$\sec^{2} (x) - \tan^{2} (x) = 1$
204331	Simplify	( square root of 16)/( cube root of 2)	$\frac{\sqrt{16}}{\sqrt[3]{2}}$
204332	Solve for x	-1/5(x-4)=-2	$- \frac{1}{5} (x - 4) = - 2$
204333	Solve for x	(6x-1)(6x+1)-4x(9x+2)=-1	$(6 x - 1) (6 x + 1) - 4 x (9 x + 2) = - 1$
204334	Find the Roots (Zeros)	f(x)=(x-1)(x+3)(x^2+1)	$f (x) = (x - 1) (x + 3) (x^{2} + 1)$
204335	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-x+4x^2-x^3	$f (x) = - x + 4 x^{2} - x^{3}$
204336	Simplify	(-5^0)/(2^-2)	$\frac{- 5^{0}}{2^{- 2}}$
204337	Solve the Rational Equation for x	cube root of x=4	$\sqrt[3]{x} = 4$
204338	Simplify	cube root of 10^5* fourth root of 10^5	$\sqrt[3]{10^{5}} \cdot \sqrt[4]{10^{5}}$
204339	Simplify	( square root of 3x^12y^10)/( square root of x^3y^4)	$\frac{\sqrt{3 x^{12} y^{10}}}{\sqrt{x^{3} y^{4}}}$
204340	Divide Using Long Polynomial Division	(2x^4-3x^3-20x^2+72x-63)/(2x-3)	$\frac{2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63}{2 x - 3}$
204341	Graph	x^2+(y- square root of \|x\|)^2=1	$x^{2} + {(y - \sqrt{\| x \|})}^{2} = 1$
204342	Solve for v₁	(p_1v_1)/t_1=(p_2v_2)/t_2	$\frac{p_{1} v_{1}}{t_{1}} = \frac{p_{2} v_{2}}{t_{2}}$
204343	Graph	y>=2x+3 and y<2x-4	$y \geq 2 x + 3$ and $y < 2 x - 4$
204344	Simplify	((-w^-1y)^0)/(4w^-1y^2)	$\frac{{(- w^{- 1} y)}^{0}}{4 w^{- 1} y^{2}}$
204345	Solve for m	-20+m-18=-8m+16	$- 20 + m - 18 = - 8 m + 16$
204346	Solve for x	3/4(x-2y)=12	$\frac{3}{4} (x - 2 y) = 12$
204347	Simplify	(27x^4)/(6x^4)	$\frac{27 x^{4}}{6 x^{4}}$
204348	Find the Excluded Values	((4x-24)/(-3x-15))/((x^2-36)/(x+5))	$\frac{\frac{4 x - 24}{- 3 x - 15}}{\frac{x^{2} - 36}{x + 5}}$
204349	Evaluate	-2(3/2)^-1	$- 2 {(\frac{3}{2})}^{- 1}$
204350	Simplify	(a^3b)^-2(a^3b^4)	${(a^{3} b)}^{- 2} (a^{3} b^{4})$
204351	Simplify	square root of 5-18 square root of 5+4 square root of 5-5 square root of 5	$\sqrt{5} - 18 \sqrt{5} + 4 \sqrt{5} - 5 \sqrt{5}$
204352	Simplify	2^3+3(2)+14÷2	$2^{3} + 3 (2) + 14 \div 2$
204353	Solve for x	-5(x-6)-2=5+(x-1)	$- 5 (x - 6) - 2 = 5 + (x - 1)$
204354	Solve for z	z^2=7	$z^{2} = 7$
204355	Evaluate	ii	$i i$
204356	Find the Excluded Values	(x^2-64)/(x^2+16x+64)	$\frac{x^{2} - 64}{x^{2} + 16 x + 64}$
204357	Simplify	((x^-5)/(x^-2))^-1	${(\frac{x^{- 5}}{x^{- 2}})}^{- 1}$
204358	Simplify	a^4b^3+9a^3b^4-3a^4b^3-4a^3b^4	$a^{4} b^{3} + 9 a^{3} b^{4} - 3 a^{4} b^{3} - 4 a^{3} b^{4}$
204359	Solve the System of Equations	y=x^2+10x+11 y=x^2+x-7	$y = x^{2} + 10 x + 11$ $y = x^{2} + x - 7$
204360	Solve for x	(3x+1)/(x+2)-(x-1)/(x-2)=1	$\frac{3 x + 1}{x + 2} - \frac{x - 1}{x - 2} = 1$
204361	Simplify	2x1/(x^-3)x^-2	$2 x \cdot \frac{1}{x^{- 3}} \cdot x^{- 2}$
204362	Find the Product	5x^2y^3*(-2 3/4xy^6)	$5 x^{2} y^{3} \cdot (- 2 \frac{3}{4} x y^{6})$
204363	Solve by Substitution	d+e=2 d-e=4	$d + e = 2$ $d - e = 4$
204364	Solve for H	sin(-67.3)=-12/H	$\sin (- 67.3) = - \frac{12}{H}$
204365	Simplify	((7r^5k)/(4r^2k^3))^2	${(\frac{7 r^{5} k}{4 r^{2} k^{3}})}^{2}$
204366	Solve for m	-54=10-(m-10)^(3/2)	$- 54 = 10 - {(m - 10)}^{\frac{3}{2}}$
204367	Simplify	cube root of a/b	$\sqrt[3]{\frac{a}{b}}$
204368	Simplify	(8m^2)/(10m^3+60m^2)-(6m^2-12m)/(10m^3+60m^2)	$\frac{8 m^{2}}{10 m^{3} + 60 m^{2}} - \frac{6 m^{2} - 12 m}{10 m^{3} + 60 m^{2}}$
204369	Solve for x	(3x)/7+2/7=2	$\frac{3 x}{7} + \frac{2}{7} = 2$
204370	Divide	(x^2+2x+4)÷(x^3-8)	$(x^{2} + 2 x + 4) \div (x^{3} - 8)$
204371	Simplify	w^-2(4w)^2	$w^{- 2} {(4 w)}^{2}$
204372	Determine if a Polynomial	c^4 square root of 5+b^3-cb^4	$c^{4} \sqrt{5} + b^{3} - c b^{4}$
204373	Simplify	(-2f)/(d^5)((df^5)/(-2f^10))^2	$\frac{- 2 f}{d^{5}} {(\frac{d f^{5}}{- 2 f^{10}})}^{2}$
204374	Solve for θ	sin(2theta)- square root of 2cos(theta)=0	$\sin (2 θ) - \sqrt{2} \cos (θ) = 0$
204375	Simplify the Radical Expression	square root of 3+2 square root of 3	$\sqrt{3} + 2 \sqrt{3}$
204376	Factor	5x+xy+5y+y^2	$5 x + x y + 5 y + y^{2}$
204377	Find the Domain and Range	1/(\|x\|)	$\frac{1}{\| x \|}$
204378	Find the Exact Value	3 square root of 12+2 square root of 108-3 square root of 48	$3 \sqrt{12} + 2 \sqrt{108} - 3 \sqrt{48}$
204379	Graph	y=-1/2x^2-3/2x+2	$y = - \frac{1}{2} x^{2} - \frac{3}{2} x + 2$
204380	Evaluate	(5x^4y^2+20xy^6-10x)÷5xy^2	$(5 x^{4} y^{2} + 20 x y^{6} - 10 x) \div 5 x y^{2}$
204381	Solve for x	3(2x-5)+2x+3=1	$3 (2 x - 5) + 2 x + 3 = 1$
204382	Solve for x	3x(2x-1)-12(2x-1)=0	$3 x (2 x - 1) - 12 (2 x - 1) = 0$
204383	Simplify	(4v^2+3v)-(6v-7+7v^2)	$(4 v^{2} + 3 v) - (6 v - 7 + 7 v^{2})$
204384	Find the x and y Intercepts	f(x)=-2+ log base 5 of -x	$f (x) = - 2 + \log_{5} (- x)$
204385	Simplify	16 root of (m^-5)/(m^-1)	$\sqrt[16]{\frac{m^{- 5}}{m^{- 1}}}$
204386	Subtract	(-7m^4-9m^3+3m)-(-2m^4+5m^3-9m^2+4m)	$(- 7 m^{4} - 9 m^{3} + 3 m) - (- 2 m^{4} + 5 m^{3} - 9 m^{2} + 4 m)$
204387	Write the Fraction in Simplest Form	(20t^2)/((5t)^2)	$\frac{20 t^{2}}{{(5 t)}^{2}}$
204388	Simplify the Radical Expression	square root of 20- square root of 5	$\sqrt{20} - \sqrt{5}$
204389	Solve for x	x+3=(10-x)/3	$x + 3 = \frac{10 - x}{3}$
204390	Evaluate	-2(3/2)^-2	$- 2 {(\frac{3}{2})}^{- 2}$
204391	Solve for s	n=s*(p-v)-f	$n = s \cdot (p - v) - f$
204392	Graph	x^2+y>-4	$x^{2} + y > - 4$
204393	Find the Exact Value	(81 1/4)^4	${(81 \frac{1}{4})}^{4}$
204394	Rewrite the Cartesian Equation as a Polar Equation	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
204395	Solve the Absolute Value Inequality for u	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
204396	Factor	p^2-6-q*(p^2-6)^2	$p^{2} - 6 - q \cdot {(p^{2} - 6)}^{2}$
204397	Solve for x	(1/3)^(x+3)=10	${(\frac{1}{3})}^{x + 3} = 10$
204398	Write the Fraction in Simplest Form	((4m^4)^2)/(12m^5)	$\frac{{(4 m^{4})}^{2}}{12 m^{5}}$
204399	Solve for x	3arctan(x)+arccot(x)=pi	$3 \arctan (x) + arccot (x) = π$
204400	Solve for x	2/7=-(8x)/7+6/7	$\frac{2}{7} = - \frac{8 x}{7} + \frac{6}{7}$