Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233201	Solve the Inequality for x	0<=2x+3x	$0 \leq 2 x + 3 x$
233202	Find the Exact Value	cos(45 degrees )+cos(135 degrees )-cos(225 degrees )+cos(315 degrees )	$\cos (45 °) + \cos (135 °) - \cos (225 °) + \cos (315 °)$
233203	Solve for k	3/k-1/2=12/k	$\frac{3}{k} - \frac{1}{2} = \frac{12}{k}$
233204	Solve the Inequality for x	-1/2<(2x-13)/12<=2/3	$- \frac{1}{2} < \frac{2 x - 13}{12} \leq \frac{2}{3}$
233205	Simplify	((4x^3y^4)/(3m^2n^3))^4((9m^5n)/(2x^2y^5))^2	${(\frac{4 x^{3} y^{4}}{3 m^{2} n^{3}})}^{4} {(\frac{9 m^{5} n}{2 x^{2} y^{5}})}^{2}$
233206	Simplify	(3x+1)+(2x-1)+(x+4)	$(3 x + 1) + (2 x - 1) + (x + 4)$
233207	Convert to Radical Form	(2x)^(1/3)*(2x)^(4/3)	${(2 x)}^{\frac{1}{3}} \cdot {(2 x)}^{\frac{4}{3}}$
233208	Graph	f(x)=1/2tan(x)	$f (x) = \frac{1}{2} \tan (x)$
233209	Write as a Single Logarithm	5 log base b of x+9 log base b of y-3 log base b of z	$5 \log_{b} (x) + 9 \log_{b} (y) - 3 \log_{b} (z)$
233210	Multiply	(-x^2+6)(2x^2+3x-5)	$(- x^{2} + 6) (2 x^{2} + 3 x - 5)$
233211	Solve for n	(3n-2)(4n+1)=0	$(3 n - 2) (4 n + 1) = 0$
233212	Divide	(5x^8y^3)/(15x^3y^3)	$\frac{5 x^{8} y^{3}}{15 x^{3} y^{3}}$
233213	Convert to Interval Notation	-5<=(-3x+1)/4<=9	$- 5 \leq \frac{- 3 x + 1}{4} \leq 9$
233214	Simplify	( cube root of z)( cube root of 9z^4)	$(\sqrt[3]{z}) (\sqrt[3]{9 z^{4}})$
233215	Evaluate	5+215+(124)	$5 + 2 \cdot 15 + (12 \cdot 4)$
233216	Simplify	square root of 5	square root of $5$
233217	Solve the Absolute Value Inequality for b	\|b-7\|<6	$\| b - 7 \| < 6$
233218	Solve for x	log base 3 of 5+2 log base 3 of x = log base 3 of 125	$\log_{3} (5) + 2 \log_{3} (x) = \log_{3} (125)$
233219	Evaluate	-8+5(12+-12)+8	$- 8 + 5 (12 + - 12) + 8$
233220	Simplify	-(-xy^2z^3)^5(x^4yz)^2	$- {(- x y^{2} z^{3})}^{5} {(x^{4} y z)}^{2}$
233221	Graph	-10=x^2-7x	$- 10 = x^{2} - 7 x$
233222	Evaluate	(- square root of 3)/-1	$\frac{- \sqrt{3}}{- 1}$
233223	Solve for x	(2x)+(27)=36	$(2 \cdot x) + (2 \cdot 7) = 36$
233224	Rationalize the Denominator	( square root of 3)/( square root of 3)	$\frac{\sqrt{3}}{\sqrt{3}}$
233225	Graph	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
233226	Simplify	(-12+8b^4+b)-(8b^4-1+9b^3)	$(- 12 + 8 b^{4} + b) - (8 b^{4} - 1 + 9 b^{3})$
233227	Find the Degree	x^4y-x^2+6x	$x^{4} y - x^{2} + 6 x$
233228	Solve the Inequality for t	t+2>10	$t + 2 > 10$
233229	Solve for x	(3x)/(x-3)=7/2	$\frac{3 x}{x - 3} = \frac{7}{2}$
233230	Evaluate	(x^-7y^4)/(x^7y^4)	$\frac{x^{- 7} y^{4}}{x^{7} y^{4}}$
233231	Solve for x	0=(2x-5)/3	$0 = \frac{2 x - 5}{3}$
233232	Simplify the Radical Expression	( square root of 75x^5y)/( square root of 28xy^3)	$\frac{\sqrt{75 x^{5} y}}{\sqrt{28 x y^{3}}}$
233233	Evaluate	k+12/k=8	$k + \frac{12}{k} = 8$
233234	Solve the Inequality for x	5/x+6/(5x)>2/3	$\frac{5}{x} + \frac{6}{5 x} > \frac{2}{3}$
233235	Describe the Transformation	3f(x-2)	$3 f (x - 2)$
233236	Find the Next Term	81 , -27 , 9 , -3 , 1 , -1/3	$81$ , $- 27$ , $9$ , $- 3$ , $1$ , $- \frac{1}{3}$
233237	Evaluate	2*(-( square root of 3)/2)	$2 \cdot (- \frac{\sqrt{3}}{2})$
233238	Graph	f^-1(x)=x^2-4x+4	$f^{- 1} (x) = x^{2} - 4 x + 4$
233239	Find the Domain and Range	2x+y=0	$2 x + y = 0$
233240	Simplify	((xy+xz)/(xz-z^2)*(xy-yz)/(xz+yz))÷((y^2+yz)/(x^2+xy))	$\frac{x y + x z}{x z - z^{2}} \cdot \frac{x y - y z}{x z + y z} \div \frac{y^{2} + y z}{x^{2} + x y}$
233241	Solve the Inequality for p	-4p<2/3	$- 4 p < \frac{2}{3}$
233242	Solve the Inequality for x	log base 3 of 1-x> = log base 3 of x+16-x^2	$\log_{3} (1 - x) \geq \log_{3} (x + 16 - x^{2})$
233243	Evaluate	8/5*5/2-12	$\frac{8}{5} \cdot \frac{5}{2} - 12$
233244	Graph	F(x)=-1/(x^2-10x+25)	$F (x) = \frac{- 1}{x^{2} - 10 x + 25}$
233245	Determine if a Polynomial	-(t^2)/s	$- \frac{t^{2}}{s}$
233246	Simplify	square root of -9* square root of -16* square root of 32	$\sqrt{- 9} \cdot \sqrt{- 16} \cdot \sqrt{32}$
233247	Graph	Graph y<=2 square root of x-2-3	Graph $y \leq 2 \sqrt{x - 2} - 3$
233248	Solve the System of Inequalities	y>=2x-4 y>-x+2	$y \geq 2 x - 4$ $y > - x + 2$
233249	Solve for x	6÷x=3	$6 \div x = 3$
233250	Solve the System of Inequalities	y>x-5 y>-2x-8	$y > x - 5$ $y > - 2 x - 8$
233251	Solve for y	-3=-2y^3-5	$- 3 = - 2 y^{3} - 5$
233252	Solve the Inequality for w	29-2(3-5w)>=13	$29 - 2 (3 - 5 w) \geq 13$
233253	Simplify	sin(x)^2+tan(x)^2	$\sin^{2} (x) + \tan^{2} (x)$
233254	Multiply	x(2x^2+1)	$x (2 x^{2} + 1)$
233255	Find the Exact Value	-6f(3)-6g(-1)	$- 6 \cdot f (3) - 6 \cdot g (- 1)$
233256	Evaluate	(45x^4y^6)/((5xy)^3)	$\frac{45 x^{4} y^{6}}{{(5 x y)}^{3}}$
233257	Find the Equation Using Slope-Intercept Form	m=-2 and (2,4)	$m = - 2$ and $(2, 4)$
233258	Evaluate	square root of 14-2 square root of 13* square root of 14+2 square root of 13	$\sqrt{14 - 2 \sqrt{13}} \cdot \sqrt{14 + 2 \sqrt{13}}$
233259	Evaluate	15% of 30	$15 %$ of $30$
233260	Solve for x	log base 3 of x+ log base 3 of 6>=2	$\log_{3} (x) + \log_{3} (6) \geq 2$
233261	Solve for b	a=bc+ba	$a = b c + b a$
233262	Evaluate	cot((17pi)/6)	$\cot (\frac{17 π}{6})$
233263	Solve for t	t = square root of m/4.9	$t = \sqrt{\frac{m}{4.9}}$
233264	Find the Exact Value	tan(675 degrees )	$\tan (675 °)$
233265	Simplify	(3x^2-4x+1)(2x-3x^2+5)	$(3 x^{2} - 4 x + 1) (2 x - 3 x^{2} + 5)$
233266	Solve for n	n+5=n+7	$n + 5 = n + 7$
233267	Simplify	((x^2-4x-45)/(x^2-x-30)*(x^2-36)/(36-x^2))÷((x-9)/(6x))	$\frac{x^{2} - 4 x - 45}{x^{2} - x - 30} \cdot \frac{x^{2} - 36}{36 - x^{2}} \div \frac{x - 9}{6 x}$
233268	Factor	2ac-4bd+bc-8ad	$2 a c - 4 b d + b c - 8 a d$
233269	Find the Inverse	f(x)=2(x-6)^(1/3)+10	$f (x) = 2 {(x - 6)}^{\frac{1}{3}} + 10$
233270	Solve for θ	(cot(theta)- square root of 3)(2sin(theta)+ square root of 3)=0	$(\cot (θ) - \sqrt{3}) (2 \sin (θ) + \sqrt{3}) = 0$
233271	Simplify	f(2+h)-f(2)	$f (2 + h) - f (2)$
233272	Evaluate	0^2+0+1	$0^{2} + 0 + 1$
233273	Find the Equation Using Slope-Intercept Form	m=2 and b=-3	$m = 2$ and $b = - 3$
233274	Simplify	(a^2+b^2)/(a-b)-a	$\frac{(a^{2} + b^{2})}{a - b} - a$
233275	Simplify	( square root of 5x)/(2 square root of 15x^4)	$\frac{\sqrt{5 x}}{2 \sqrt{15 x^{4}}}$
233276	Simplify	(x^2-1)*(x^3+2x)	$(x^{2} - 1) \cdot (x^{3} + 2 x)$
233277	Divide Using Long Polynomial Division	(10x^5+x^3+5x^2-2x-2)÷(5x^2-2)	$(10 x^{5} + x^{3} + 5 x^{2} - 2 x - 2) \div (5 x^{2} - 2)$
233278	Simplify	((6x^3+12x^2-210x)/(x^2-49)*(6x)/(2x^3-50x))÷((x+7)/(x^2-49))	$\frac{6 x^{3} + 12 x^{2} - 210 x}{x^{2} - 49} \cdot \frac{6 x}{2 x^{3} - 50 x} \div \frac{x + 7}{x^{2} - 49}$
233279	Simplify	(x^2-6x)/(x^2-4x+4)+(4x)/(x^2-4x+4)	$\frac{x^{2} - 6 x}{x^{2} - 4 x + 4} + \frac{4 x}{x^{2} - 4 x + 4}$
233280	Find the LCM	7m-21 and 14m-42	$7 m - 21$ and $14 m - 42$
233281	Solve for v	9=v÷5	$9 = v \div 5$
233282	Graph	f(x)=-(x-1)/(2x-4)	$f (x) = - \frac{x - 1}{2 x - 4}$
233283	Solve for w	2w^2+9w-10=6w	$2 w^{2} + 9 w - 10 = 6 w$
233284	Solve the Inequality for x	9x-7<=4x	$9 x - 7 \leq 4 x$
233285	Simplify	(1-x+4x^2-8x^3)+(2x^3+x^2-6x-3)-(5x^3+8x^2)	$(1 - x + 4 x^{2} - 8 x^{3}) + (2 x^{3} + x^{2} - 6 x - 3) - (5 x^{3} + 8 x^{2})$
233286	Solve the Inequality for x	-(5x)/6>=22	$- \frac{5 x}{6} \geq 22$
233287	Divide Using Long Polynomial Division	8x^3+24x^2+24x+7 divided by 2x+1	$8 x^{3} + 24 x^{2} + 24 x + 7$ divided by $2 x + 1$
233288	Solve for B	3B-2=10	$3 B - 2 = 10$
233289	Solve the Inequality for k	k-17<=-(17-k)	$k - 17 \leq - (17 - k)$
233290	Solve the Inequality for n	12n>135+4.50n	$12 n > 135 + 4.5 n$
233291	Solve for F	R = square root of (Fx)^2+(Fy)^2	$R = \sqrt{{(F x)}^{2} + {(F y)}^{2}}$
233292	Factor	y=x^3+3x^2-10x	$y = x^{3} + 3 x^{2} - 10 x$
233293	Simplify	((x-2)/(x^2+x-6))÷((x^2+5x+4)/(x+4))	$\frac{x - 2}{x^{2} + x - 6} \div \frac{x^{2} + 5 x + 4}{x + 4}$
233294	Simplify	(8d-3)/9+(4d+12)/9	$\frac{8 d - 3}{9} + \frac{4 d + 12}{9}$
233295	Solve for θ	-90 degrees <=theta<=90 degrees	$- 90 ° \leq θ \leq 90 °$
233296	Determine if a Polynomial	x^2+6x^3-4+2x^5	$x^{2} + 6 x^{3} - 4 + 2 x^{5}$
233297	Divide Using Long Polynomial Division	6x^3+25x^2+18x+14 is divided by 2x+7	$6 x^{3} + 25 x^{2} + 18 x + 14$ is divided by $2 x + 7$
233298	Solve for x	4x+2(2x-3)=4(2x-2)+2	$4 x + 2 (2 x - 3) = 4 (2 x - 2) + 2$
233299	Solve for m	cube root of 3m+1=4	$\sqrt[3]{3 m + 1} = 4$
233300	Solve for x	e^(2x+1)=1-2x	$e^{2 x + 1} = 1 - 2 x$