Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221301	Solve for y	c=3(y+k)	$c = 3 (y + k)$
221302	Factor by Grouping	(x+y)^2-(x-y)^2	${(x + y)}^{2} - {(x - y)}^{2}$
221303	Describe the Transformation	square root of 1/3(x+2)-7	$\sqrt{\frac{1}{3} (x + 2)} - 7$
221304	Graph	y+1>=0 y+x>=2	$y + 1 \geq 0$ $y + x \geq 2$
221305	Multiply	square root of 8x^5* square root of 3x	$\sqrt{8 x^{5}} \cdot \sqrt{3 x}$
221306	Solve the Absolute Value Inequality for v	-10\|v+2\|=-70	$- 10 \| v + 2 \| = - 70$
221307	Solve the Rational Equation for c	(c-4)/(c-2)=(c-2)/(c+2)-1/(2-c)	$\frac{c - 4}{c - 2} = \frac{c - 2}{c + 2} - \frac{1}{2 - c}$
221308	Solve the Inequality for x	-x+y<1	$- x + y < 1$
221309	Find the Union	(negative infinity,0) union (-1/3,infinity)	$(- \infty, 0) \cup (- \frac{1}{3}, \infty)$
221310	Find the Roots (Zeros)	x^4-3x^3-10x^2=0	$x^{4} - 3 x^{3} - 10 x^{2} = 0$
221311	Solve for y	1/(7y-5)=2/(9y)	$\frac{1}{7 y - 5} = \frac{2}{9 y}$
221312	Combine Like Terms	(-4k^4+14+3k^2)+(-3k^4-14k^2-8)	$(- 4 k^{4} + 14 + 3 k^{2}) + (- 3 k^{4} - 14 k^{2} - 8)$
221313	Graph	y-3>=\|x+5\|	$y - 3 \geq \| x + 5 \|$
221314	Simplify	(a^2+16)/(a-4)+(8a)/(4-a)	$\frac{a^{2} + 16}{a - 4} + \frac{8 a}{4 - a}$
221315	Graph	y<2x-1 y>=10-x	$y < 2 x - 1$ $y \geq 10 - x$
221316	Solve the Inequality for x	9x-8<=-2x-6(-x+2/3)	$9 x - 8 \leq - 2 x - 6 (- x + \frac{2}{3})$
221317	Solve for a	square root of 1-3a=2a	$\sqrt{1 - 3 a} = 2 a$
221318	Graph	g(x)=6 if x<-1; x^2-3 if -1<=x<=3; 6 if x>3	$g (x) = {\begin{cases} 6 & x < - 1 \\ x^{2} - 3 & - 1 \leq x \leq 3 \\ 6 & x > 3 \end{cases}$
221319	Solve for a	a(4-x)=-3x+b	$a (4 - x) = - 3 x + b$
221320	Factor	7(x+y)^2+13y(x+y)-2y^2	$7 {(x + y)}^{2} + 13 y (x + y) - 2 y^{2}$
221321	Write in Standard Form	3/4x-2=9/10	$\frac{3}{4} x - 2 = \frac{9}{10}$
221322	Write in Slope-Intercept Form	-x+y<1	$- x + y < 1$
221323	Solve the System of Inequalities	5/4-2y<3/2 and 3/5y+3<13/10	$\frac{5}{4} - 2 y < \frac{3}{2}$ and $\frac{3}{5} y + 3 < \frac{13}{10}$
221324	Multiply	6(x^2+2x+7)	$6 (x^{2} + 2 x + 7)$
221325	Divide Using Long Polynomial Division	2x^3+13x^2+20x+9 divided by 2x+9	$2 x^{3} + 13 x^{2} + 20 x + 9$ divided by $2 x + 9$
221326	Solve the System of Equations	y=x-1 2x-y=0	$y = x - 1$ $2 x - y = 0$
221327	Simplify	4y+5y^2-6-5y+27-y^2	$4 y + 5 y^{2} - 6 - 5 y + 27 - y^{2}$
221328	Solve for m	19m^2+5m-12=-6m^2	$19 m^{2} + 5 m - 12 = - 6 m^{2}$
221329	Convert to a Decimal	sin(450)deg	$\sin (450)$ degrees
221330	Find the Inverse	5x^(1/5)+3	$5 x^{\frac{1}{5}} + 3$
221331	Simplify	sin(2)(x)sec(2)(x)-sin(2)x	$\sin (2) (x) \sec (2) (x) - \sin (2) x$
221332	Simplify	(20x^7y^5-4x^7y^5)/(2x^4y^5)	$\frac{(20 x^{7} y^{5} - 4 x^{7} y^{5})}{2 x^{4} y^{5}}$
221333	Simplify	(4x^4*2x^2y^9)^2	${(4 x^{4} \cdot 2 x^{2} y^{9})}^{2}$
221334	Subtract	r/x-(3s)/y	$\frac{r}{x} - \frac{3 s}{y}$
221335	Find the Slope and y-intercept	5(y+2)=4(x-3)	$5 (y + 2) = 4 (x - 3)$
221336	Solve the Inequality for x	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
221337	Solve the Inequality for x	-3x^2+16x+53>-5x-1	$- 3 x^{2} + 16 x + 53 > - 5 x - 1$
221338	Simplify	(-8f^6g)(-7f^2g^5h)	$(- 8 f^{6} g) (- 7 f^{2} g^{5} h)$
221339	Evaluate	i^7*i^17	$i^{7} \cdot i^{17}$
221340	Evaluate	(2^3x^2)^5	${(2^{3} x^{2})}^{5}$
221341	Simplify	(2(cos(pi/4)+isin(pi/4)))^4	${(2 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4})))}^{4}$
221342	Solve for p	y=3p^2-4	$y = 3 p^{2} - 4$
221343	Solve for y	6x+y=2y+8	$6 x + y = 2 y + 8$
221344	Solve for m	33=7+m^3	$33 = 7 + m^{3}$
221345	Simplify	1/(x-4)*(-x^2+9x-20)/(x+2)	$\frac{1}{x - 4} \cdot \frac{- x^{2} + 9 x - 20}{x + 2}$
221346	Solve for s	-3\|s\|=18	$- 3 \| s \| = 18$
221347	Find the Exact Value	(5^10)/(5^12)	$\frac{5^{10}}{5^{12}}$
221348	Solve for x	5^(2x)*5^(4x)=125	$5^{2 x} \cdot 5^{4 x} = 125$
221349	Evaluate	(9+5--6)(5+-6)	$(9 + 5 - - 6) (5 + - 6)$
221350	Find the Inverse	f(x)=7(( fifth root of x)/2-4)	$f (x) = 7 (\frac{\sqrt[5]{x}}{2} - 4)$
221351	Solve for x	4x-1/3(15x-3(-1+2x))=3/2(9-x-6)	$4 x - \frac{1}{3} (15 x - 3 (- 1 + 2 x)) = \frac{3}{2} (9 - x - 6)$
221352	Solve for x	2x+3/(x+2)=1	$2 x + \frac{3}{x + 2} = 1$
221353	Evaluate	pi/8*180/pi	$\frac{π}{8} \cdot \frac{180}{π}$
221354	Simplify	-(729/64)^(5/6)	$- {(\frac{729}{64})}^{\frac{5}{6}}$
221355	Evaluate	(16x^8y^-12)^(1/2)	${(16 x^{8} y^{- 12})}^{\frac{1}{2}}$
221356	Simplify	((2^-4)/(2^-4))^-4	${(\frac{2^{- 4}}{2^{- 4}})}^{- 4}$
221357	Find the LCM	24 and 36	$24$ and $36$
221358	Evaluate	1+ square root of 5x+5=5	$1 + \sqrt{5 x + 5} = 5$
221359	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+5x^3+2x^2+10x-12 is divided by x+2	Use synthetic division to find the result when $4 x^{4} + 5 x^{3} + 2 x^{2} + 10 x - 12$ is divided by $x + 2$
221360	Solve by Substitution	x^3+y^3=126 x^2-xy+y^2=21	$x^{3} + y^{3} = 126$ $x^{2} - x y + y^{2} = 21$
221361	Simplify	-2x--8x	$- 2 x - - 8 x$
221362	Factor	Factorise x^2+5x+6	Factorise $x^{2} + 5 x + 6$
221363	Write the Fraction in Simplest Form	(2(r^-2)^5)/(2r^-6)	$\frac{2 {(r^{- 2})}^{5}}{2 r^{- 6}}$
221364	Solve the Inequality for x	x/-1-6<-5	$\frac{x}{- 1} - 6 < - 5$
221365	Evaluate	(x^(-10/3))/(x^3)	$\frac{x^{- \frac{10}{3}}}{x^{3}}$
221366	Simplify	x square root of 2x^3	$x \sqrt{2 x^{3}}$
221367	Solve for x	x+30>3x	$x + 30 > 3 x$
221368	Solve the System of Equations	-6x-3y=-21 and 3x+y=6	$- 6 x - 3 y = - 21$ and $3 x + y = 6$
221369	Solve for y	square root of 3y+7=10	$\sqrt{3 y} + 7 = 10$
221370	Simplify	(cos(2a))/(cos(a)^2)	$\frac{\cos (2 a)}{\cos^{2} (a)}$
221371	Simplify	(4x^-4y^(2/3))/( fourth root of 16x^4y^2)	$\frac{4 x^{- 4} y^{\frac{2}{3}}}{\sqrt[4]{16 x^{4} y^{2}}}$
221372	Simplify	5x^3(2x+4y)	$5 x^{3} (2 x + 4 y)$
221373	Solve for w	e^w=10^x	$e^{w} = 10^{x}$
221374	Factor	an-mn-n^2+ma	$a n - m n - n^{2} + m a$
221375	Simplify	fourth root of square root of h^6i^24j^18	$\sqrt[4]{\sqrt{h^{6} i^{24} j^{18}}}$
221376	Evaluate	5 1/9-1/12*2/3	$5 \frac{1}{9} - \frac{1}{12} \cdot \frac{2}{3}$
221377	Multiply	(x^3+2x^2+1)(x^2+5)	$(x^{3} + 2 x^{2} + 1) (x^{2} + 5)$
221378	Simplify	(50-2w^2)/(3w^2+9w-30)*(w^2+5w-14)/(6w-30)	$\frac{50 - 2 w^{2}}{3 w^{2} + 9 w - 30} \cdot \frac{w^{2} + 5 w - 14}{6 w - 30}$
221379	Simplify the Radical Expression	fourth root of 64x^4	$\sqrt[4]{64 x^{4}}$
221380	Simplify	(8m)/(2n^-2)	$\frac{8 m}{2 n^{- 2}}$
221381	Find the Roots (Zeros)	cos(x)	$\cos (x)$
221382	Factor	2x^2-50+12xy+60y	$2 x^{2} - 50 + 12 x y + 60 y$
221383	Evaluate	-3(0.15-0.2+0.25p)	$- 3 (0.15 - 0.2 + 0.25 p)$
221384	Simplify	(cot(A)-1)(cot(A)+1)	$(\cot (A) - 1) (\cot (A) + 1)$
221385	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+12x^2+27x+8 is divided by 3x+1	Use the long division method to find the result when $9 x^{3} + 12 x^{2} + 27 x + 8$ is divided by $3 x + 1$
221386	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,5) and has a slope of 2 ?	What is the equation of the line that passes through the point $(3, 5)$ and has a slope of $2$ ?
221387	Solve the System of Equations	3x+10y-12z=40 x-5y=0 x-4z=0	$3 x + 10 y - 12 z = 40$ $x - 5 y = 0$ $x - 4 z = 0$
221388	Evaluate	2pi*3/4	$2 π \cdot \frac{3}{4}$
221389	Evaluate	(4x square root of 5x^2+2x^2 square root of 6)^2	${(4 x \sqrt{5 x^{2}} + 2 x^{2} \sqrt{6})}^{2}$
221390	Solve for y	(x-6)/(x+3)*y/(x-6)=x-2	$\frac{x - 6}{x + 3} \cdot \frac{y}{x - 6} = x - 2$
221391	Evaluate	(2^23)+(12+3)2	$(2^{2} \cdot 3) + (12 + 3) \cdot 2$
221392	Evaluate	1/18(9)^0	$\frac{1}{18} {(9)}^{0}$
221393	Simplify	fourth root of 5/(x^3y^8)	$\sqrt[4]{\frac{5}{x^{3} y^{8}}}$
221394	Solve for x	log base 4 of x+1 = log base 4 of x+10	$\log_{4} (x + 1) = \log_{4} (x + 10)$
221395	Simplify	b^-9*(b^2)^4	$b^{- 9} \cdot {(b^{2})}^{4}$
221396	Solve the System of Equations	-x+3y+10z=8 4x-9y-34z=-17 3x+5y-2z=46	$- x + 3 y + 10 z = 8$ $4 x - 9 y - 34 z = - 17$ $3 x + 5 y - 2 z = 46$
221397	Solve for x	x=(910^9)(2.6*10^-6)	$x = (9 \cdot 10^{9}) \cdot (2.6 \cdot 10^{- 6})$
221398	Solve for x	1+3(x-5)=7+x	$1 + 3 (x - 5) = 7 + x$
221399	Divide	(7/15)÷(-11/6)	$\frac{7}{15} \div (- \frac{11}{6})$
221400	Graph	(2x+1)/(x-5)<=3	$\frac{2 x + 1}{x - 5} \leq 3$