Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223501	Solve the Inequality for x	-1/2<=(7-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{7 - 3 x}{5} \leq \frac{1}{4}$
223502	Solve for x	9/(4x)-5/6=13/(12x)	$\frac{9}{4 x} - \frac{5}{6} = \frac{13}{12 x}$
223503	Combine Like Terms	(4n-3n^3)-(3n^3+4n)	$(4 n - 3 n^{3}) - (3 n^{3} + 4 n)$
223504	Factor	(x^3-x)	$(x^{3} - x)$
223505	Evaluate	8-7^2-8÷8-6	$8 - 7^{2} - 8 \div 8 - 6$
223506	Find the Perpendicular Line	What is the equation of the line that is perpendicular to the line y=3x+7 that goes through the point (3,4) ?	What is the equation of the line that is perpendicular to the line $y = 3 x + 7$ that goes through the point $(3, 4)$ ?
223507	Solve for d	5d^2+10d+8=2d^2	$5 d^{2} + 10 d + 8 = 2 d^{2}$
223508	Solve the Rational Equation for x	2/x+1/2=3/4	$\frac{2}{x} + \frac{1}{2} = \frac{3}{4}$
223509	Evaluate	((4.5610^3)(2.510^2))/(5.377*10^4)	$\frac{(4.56 \cdot 10^{3}) (2.5 \cdot 10^{2})}{(5.377 \cdot 10^{4})}$
223510	Solve the Inequality for r	-8r<16	$- 8 r < 16$
223511	Simplify the Radical Expression	(9 fifth root of 160x^8y^11)/(3 fifth root of 5xy^2)	$\frac{9 \sqrt[5]{160 x^{8} y^{11}}}{3 \sqrt[5]{5 x y^{2}}}$
223512	Subtract	(3x^2)/(x^2-x-30)-(3x+5)/(x-6)	$\frac{3 x^{2}}{x^{2} - x - 30} - \frac{3 x + 5}{x - 6}$
223513	Simplify	((e^x)/2-(e^(-x))/2)^2	${(\frac{e^{x}}{2} - \frac{e^{- x}}{2})}^{2}$
223514	Simplify	(2pi)/(2x)	$\frac{2 π}{2 x}$
223515	Simplify the Radical Expression	( cube root of 81)/( cube root of 3)	$\frac{\sqrt[3]{81}}{\sqrt[3]{3}}$
223516	Write in Standard Form	7y=3/8x-1	$7 y = \frac{3}{8} x - 1$
223517	Simplify	(4x^2yz^5)/(6x^2y^3z^2)	$\frac{4 x^{2} y z^{5}}{6 x^{2} y^{3} z^{2}}$
223518	Write in Standard Form	y=1/4x^2-2x+9	$y = \frac{1}{4} x^{2} - 2 x + 9$
223519	Write in Standard Form	5i^2	$5 i^{2}$
223520	Evaluate	40% of 200	$40 %$ of $200$
223521	Solve for x	-7+(x^2-19)^(3/4)=20	$- 7 + {(x^{2} - 19)}^{\frac{3}{4}} = 20$
223522	Simplify the Radical Expression	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2} + 4) (5 \sqrt{2} - 4)$
223523	Evaluate the Function	f(x)=5^x for x=2	$f (x) = 5^{x}$ for $x = 2$
223524	Multiply	11(4cd)(-cd^5)	$11 (4 c d) (- c d^{5})$
223525	Write in Standard Form	m(x)=7-12x-4x^2	$m (x) = 7 - 12 x - 4 x^{2}$
223526	Simplify	(6x+6)+(-3-4x)	$(6 x + 6) + (- 3 - 4 x)$
223527	Find the Inverse	f(x)=e^x-3	$f (x) = e^{x} - 3$
223528	Find the Roots (Zeros)	2x^2+x	$2 x^{2} + x$
223529	Simplify	4(6h+8k)-6h	$4 (6 h + 8 k) - 6 h$
223530	Evaluate	(2v)^2*2v^2	${(2 v)}^{2} \cdot 2 v^{2}$
223531	Simplify	(4g^4)/(7h^5)*(8h^6)/(3g^5)	$\frac{4 g^{4}}{7 h^{5}} \cdot \frac{8 h^{6}}{3 g^{5}}$
223532	Solve for x	x+4=3x+0	$x + 4 = 3 x + 0$
223533	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3x	$f (x) = 3 x$
223534	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-7) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(6, - 7)$ and has a slope of $- \frac{3}{2}$ ?
223535	Evaluate	6x^0y^8-(2y^2)^4	$6 x^{0} y^{8} - {(2 y^{2})}^{4}$
223536	Simplify	(8+i)-(i)-(7i)	$(8 + i) - (i) - (7 i)$
223537	Find the x and y Intercepts	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
223538	Factor by Grouping	16xy^2+28xy+8y	$16 x y^{2} + 28 x y + 8 y$
223539	Simplify	((a^3)/(3b^-2))^-3	${(\frac{a^{3}}{3 b^{- 2}})}^{- 3}$
223540	Solve for n	2/3(n+6)=10	$\frac{2}{3} (n + 6) = 10$
223541	Simplify	cube root of 3/(4x)	$\sqrt[3]{\frac{3}{4 x}}$
223542	Solve the Inequality for n	2(n+3)-4<=5n-1	$2 (n + 3) - 4 \leq 5 n - 1$
223543	Graph	f(x)=6+0.5x if 0<=x<=10; -9+2x if x>10	$f (x) = {\begin{cases} 6 + 0.5 x & 0 \leq x \leq 10 \\ - 9 + 2 x & x > 10 \end{cases}$
223544	Solve for x	2/5+2/x=1	$\frac{2}{5} + \frac{2}{x} = 1$
223545	Find the LCD	7/(3x) and 3/(7x+2)	$\frac{7}{3 x}$ and $\frac{3}{7 x + 2}$
223546	Evaluate	2x+y>5	$2 x + y > 5$
223547	Solve for x	12.7/2.76 = square root of x/32.0	$\frac{12.7}{2.76} = \sqrt{\frac{x}{32}}$
223548	Simplify	-e^-1	$- e^{- 1}$
223549	Graph	y<=3-x y>=3 x>=-5	$y \leq 3 - x$ $y \geq 3$ $x \geq - 5$
223550	Graph	3x+y>1 y<=x+2	$3 x + y > 1$ $y \leq x + 2$
223551	Solve for x	3^x+3^(x+1)=36	$3^{x} + 3^{x + 1} = 36$
223552	Describe the Transformation	y=2 square root of x-3-1	$y = 2 \sqrt{x - 3} - 1$
223553	Solve by Substitution	y=-4 y=x-8	$y = - 4$ $y = x - 8$
223554	Solve for w	(1/81)^(2w)*27=81^(1/2)	${(\frac{1}{81})}^{2 w} \cdot 27 = 81^{\frac{1}{2}}$
223555	Divide	(7x^3+4x^2+2x)/(x^2)	$\frac{7 x^{3} + 4 x^{2} + 2 x}{x^{2}}$
223556	Solve for k	k^2+7k-5=4	$k^{2} + 7 k - 5 = 4$
223557	Find the Product	3x^2(2y+5x)	$3 x^{2} (2 y + 5 x)$
223558	Simplify	(((x^2-3x-10)/(x+3))/(2x^2-7x-15))/(x^2-9)	$\frac{\frac{\frac{x^{2} - 3 x - 10}{x + 3}}{2 x^{2} - 7 x - 15}}{x^{2} - 9}$
223559	Solve for x	1/15(2x+5)=(x+2)/9	$\frac{1}{15} (2 x + 5) = \frac{x + 2}{9}$
223560	Solve for x	1/2(x+4/5)=7/5	$\frac{1}{2} (x + \frac{4}{5}) = \frac{7}{5}$
223561	Solve the System of Equations	x+y+z=-5 -x+6y-4z=-8 -x+4y+2z=6	$x + y + z = - 5$ $- x + 6 y - 4 z = - 8$ $- x + 4 y + 2 z = 6$
223562	Simplify	12y-8+4y+y	$12 y - 8 + 4 y + y$
223563	Graph	2x+y>=2 2x+y<4	$2 x + y \geq 2$ $2 x + y < 4$
223564	Solve the Absolute Value Inequality for b	1+\|1+b\|<4	$1 + \| 1 + b \| < 4$
223565	Simplify	((p^12g^(3/2))/64)^(5/6)	${(\frac{p^{12} g^{\frac{3}{2}}}{64})}^{\frac{5}{6}}$
223566	Solve by Graphing	x=16-4y 3x+4y=8	$x = 16 - 4 y$ $3 x + 4 y = 8$
223567	Simplify the Radical Expression	(1/(m^-7*m^4))^(5/6)	${(\frac{1}{m^{- 7} \cdot m^{4}})}^{\frac{5}{6}}$
223568	Find the Exact Value	sin(3)cos(1.2)-cos(3)sin(1.2)	$\sin (3) \cos (1.2) - \cos (3) \sin (1.2)$
223569	Solve for t	5-11t=7(5-2t)	$5 - 11 t = 7 (5 - 2 t)$
223570	Write Using Positive Exponents	((-5)^8)/((-5)^-74^04^-6)	$\frac{{(- 5)}^{8}}{{(- 5)}^{- 7} \cdot 4^{0} \cdot 4^{- 6}}$
223571	Solve for x	q=(x^3)/3+y	$q = \frac{x^{3}}{3} + y$
223572	Solve for x	2 1/3-1/2x=-2/3	$2 \frac{1}{3} - \frac{1}{2} x = - \frac{2}{3}$
223573	Subtract	(9x)/8-3/7	$\frac{9 x}{8} - \frac{3}{7}$
223574	Evaluate	infinity^-2	$\infty^{- 2}$
223575	Simplify the Radical Expression	(32x^-35y^-25)^(-4/5)	${(32 x^{- 35} y^{- 25})}^{- \frac{4}{5}}$
223576	Solve for a	square root of 5^2+12^2 = cube root of 64a^3	$\sqrt{5^{2} + 12^{2}} = \sqrt[3]{64 a^{3}}$
223577	Solve the System of Inequalities	x<4 and x>-2	$x < 4$ and $x > - 2$
223578	Solve for x	3x^2-6+4x^2=15	$3 x^{2} - 6 + 4 x^{2} = 15$
223579	Solve the System of Equations	y=2x^2+x-108 3x+y=18	$y = 2 x^{2} + x - 108$ $3 x + y = 18$
223580	Solve the Inequality for x	-2+1/2x>3x-9(-1/2x-1)	$- 2 + \frac{1}{2} x > 3 x - 9 (- \frac{1}{2} x - 1)$
223581	Find the Exact Value	3+27^2-46	$3 + 2 \cdot 7^{2} - 4 \cdot 6$
223582	Write in Standard Form	(4a^2h^2-8a^3h+3a^4)÷(2a^2)	$(4 a^{2} h^{2} - 8 a^{3} h + 3 a^{4}) \div (2 a^{2})$
223583	Divide	( cube root of 108)÷( cube root of 2)	$\sqrt[3]{108} \div \sqrt[3]{2}$
223584	Simplify	2x^(2/3)*x^3	$2 x^{\frac{2}{3}} \cdot x^{3}$
223585	Simplify	2x(5x+3)-6x^2+3	$2 x (5 x + 3) - 6 x^{2} + 3$
223586	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,2) and has a slope of -2/3 ?	What is the equation of the line that passes through the point $(- 3, 2)$ and has a slope of $- \frac{2}{3}$ ?
223587	Find the LCM	6 and 4	$6$ and $4$
223588	Solve the Inequality for x	(x-1)/(x^2-9)>=0	$\frac{x - 1}{x^{2} - 9} \geq 0$
223589	Simplify	square root of 5x^2* square root of 8x^3	$\sqrt{5 x^{2}} \cdot \sqrt{8 x^{3}}$
223590	Solve for x	tan(x)sin(x)^2=3tan(x)	$\tan (x) \sin^{2} (x) = 3 \tan (x)$
223591	Subtract	3/(x-1)-3/(x+3)	$\frac{3}{x - 1} - \frac{3}{x + 3}$
223592	Graph Using a Table of Values	y = cube root of x+3	$y = \sqrt[3]{x + 3}$
223593	Solve for x	log base 5 of x-1+ log base 5 of x+3-1=0	$\log_{5} (x - 1) + \log_{5} (x + 3) - 1 = 0$
223594	Evaluate	3-(8*-1)÷3+(-9)^3	$3 - 8 \cdot - 1 \div 3 + {(- 9)}^{3}$
223595	Find All Complex Solutions	fifth root of x+7=-2	$\sqrt[5]{x + 7} = - 2$
223596	Evaluate	fifth root of x+7=-2	$\sqrt[5]{x + 7} = - 2$
223597	Determine the Possible Number of Real Roots	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
223598	Write the Fraction in Simplest Form	(20t^-6a^-3)/((4t^-3a^2)^-2)	$\frac{20 t^{- 6} a^{- 3}}{{(4 t^{- 3} a^{2})}^{- 2}}$
223599	Solve the Inequality for k	-5<-5k-15<20	$- 5 < - 5 k - 15 < 20$
223600	Simplify	Simplify - square root of 81x^12	Simplify $- \sqrt{81 x^{12}}$