Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232501	Find the x and y Intercepts	y=5e^(-0.7x)	$y = 5 e^{- 0.7 x}$
232502	Solve the System of Equations	y=-(x-2)^2+5 y=-x+1	$y = - {(x - 2)}^{2} + 5$ $y = - x + 1$
232503	Solve for u	8=u^3	$8 = u^{3}$
232504	Solve for x	(7x-23)^(1/3)=(2x+17)^(1/3)	${(7 x - 23)}^{\frac{1}{3}} = {(2 x + 17)}^{\frac{1}{3}}$
232505	Divide	((x^2-11x+30)/(x-6))÷((x^2-12x+35)/(9x^3))	$\frac{x^{2} - 11 x + 30}{x - 6} \div \frac{x^{2} - 12 x + 35}{9 x^{3}}$
232506	Evaluate	(x+8)^4=16	${(x + 8)}^{4} = 16$
232507	Find the Exact Value	-5 3/4-3 1/2	$- 5 \frac{3}{4} - 3 \frac{1}{2}$
232508	Solve the Inequality for x	-3x+4+x>=-2x+2	$- 3 x + 4 + x \geq - 2 x + 2$
232509	Simplify	(6x^2)(-3y^3)(2z^5)	$(6 x^{2}) (- 3 y^{3}) (2 z^{5})$
232510	Simplify	-4(x^2+x+9)-10	$- 4 (x^{2} + x + 9) - 10$
232511	Factor	x^4-5x^3+x^2+21x-18	$x^{4} - 5 x^{3} + x^{2} + 21 x - 18$
232512	Simplify	n^5k^5n^-5*k	$n^{5} \cdot k^{5} \cdot n^{- 5} \cdot k$
232513	Find the GCF	336 and 232	$336$ and $232$
232514	Find the Product	(5m^-2)(2m^-3)	$(5 m^{- 2}) (2 m^{- 3})$
232515	Convert to a Mixed Number	2 1/7-1 2/5	$2 \frac{1}{7} - 1 \frac{2}{5}$
232516	Solve for g	5 = square root of 2g-7	$5 = \sqrt{2 g - 7}$
232517	Solve for z	\|-4z\|=7	$\| - 4 z \| = 7$
232518	Simplify	x square root of y^3+ square root of x^2y^5-5x square root of y^7	$x \sqrt{y^{3}} + \sqrt{x^{2} y^{5}} - 5 x \sqrt{y^{7}}$
232519	Solve for g	g-1/3=2/9	$g - \frac{1}{3} = \frac{2}{9}$
232520	Find the Quotient	(2x^4-6x^3+4x^2-17)÷(-x^2+2x-3)	$(2 x^{4} - 6 x^{3} + 4 x^{2} - 17) \div (- x^{2} + 2 x - 3)$
232521	Evaluate	(2z)/(z-2)+3/(z-4)=1	$\frac{2 z}{z - 2} + \frac{3}{z - 4} = 1$
232522	Simplify	( cube root of ab)/( cube root of 25)	$\frac{\sqrt[3]{a b}}{\sqrt[3]{25}}$
232523	Solve for x	5x+2(2-x)=3(1+x)+1	$5 x + 2 (2 - x) = 3 (1 + x) + 1$
232524	Divide	((30x+15)/x)÷(10/(3x))	$\frac{30 x + 15}{x} \div \frac{10}{3 x}$
232525	Convert to Radical Form	2(x^(1/3)y^(5/6))	$2 (x^{\frac{1}{3}} y^{\frac{5}{6}})$
232526	Evaluate	-9^-2+3^-3+(-7)^0	$- 9^{- 2} + 3^{- 3} + {(- 7)}^{0}$
232527	Solve for x	(3x)/2+x=1/3	$\frac{3 x}{2} + x = \frac{1}{3}$
232528	Graph	x<3 or x>5	$x < 3$ or $x > 5$
232529	Simplify	square root of xy( square root of x+ square root of y)	$\sqrt{x y} (\sqrt{x} + \sqrt{y})$
232530	Simplify	((a^5b^4)/(x^6b^3))^0	${(\frac{a^{5} b^{4}}{x^{6} b^{3}})}^{0}$
232531	Find the Inverse	f(x)=(3x+2)/(4+x)	$f (x) = \frac{3 x + 2}{4 + x}$
232532	Simplify the Radical Expression	( cube root of x square root of y)/( fourth root of xy^2)	$\frac{\sqrt[3]{x \sqrt{y}}}{\sqrt[4]{x y^{2}}}$
232533	Evaluate	21/20(20)+3/4	$\frac{21}{20} (20) + \frac{3}{4}$
232534	Solve for k	f=(g-h+k)/7	$f = \frac{g - h + k}{7}$
232535	Find the Equation Using Slope-Intercept Form	What is the equation of the line that has a slope of 1/3 and goes through the point (3,1) ?	What is the equation of the line that has a slope of $\frac{1}{3}$ and goes through the point $(3, 1)$ ?
232536	Factor	(4x+6)/(2x+3)	$\frac{4 x + 6}{2 x + 3}$
232537	Find the Axis of Symmetry	f(x)=\|x+9\|+1	$f (x) = \| x + 9 \| + 1$
232538	Convert to Rectangular	4(cos(pi/3)+ipi/3)	$4 (\cos (\frac{π}{3}) + i \frac{π}{3})$
232539	Solve the System of Equations	2x+4y=28 -2y=x+28	$2 x + 4 y = 28$ $- 2 y = x + 28$
232540	Find the Remainder	(3x^4+x^2+3)/(x+1)	$\frac{3 x^{4} + x^{2} + 3}{x + 1}$
232541	Solve Using the Quadratic Formula	72=2x^2	$72 = 2 x^{2}$
232542	Find the Exact Value	\|-12+8-(-2)\|	$\| - 12 + 8 - (- 2) \|$
232543	Solve the Absolute Value Inequality for c	\|11-2c\|=25	$\| 11 - 2 c \| = 25$
232544	Simplify	(-1/2xy^6z^8)^2(1/2x^8y^6z)^2	${(- \frac{1}{2} x y^{6} z^{8})}^{2} {(\frac{1}{2} x^{8} y^{6} z)}^{2}$
232545	Evaluate	1/( square root of 2)-1/( square root of 8)+ square root of 2	$\frac{1}{\sqrt{2}} - \frac{1}{\sqrt{8}} + \sqrt{2}$
232546	Evaluate	2/3+1/2 2/5-1/x=1/3-1/2 2/3	$\frac{2}{3} + \frac{1}{2 \frac{2}{5}} - \frac{1}{x} = \frac{1}{3} - \frac{1}{2 \frac{2}{3}}$
232547	Solve the System of Equations	2x^2+3y^2=4 y=2x	$2 x^{2} + 3 y^{2} = 4$ $y = 2 x$
232548	Simplify	i square root of 3*i square root of 3	$i \sqrt{3} \cdot i \sqrt{3}$
232549	Simplify	13x-3(6(x+2))	$13 x - 3 (6 (x + 2))$
232550	Find the Exact Value	cube root of 8^4	$\sqrt[3]{8^{4}}$
232551	Solve the Inequality for d	d-5<=1	$d - 5 \leq 1$
232552	Solve for b	2b-1=b+3	$2 b - 1 = b + 3$
232553	Solve for p	3(2p+1)=5(p+1)	$3 (2 p + 1) = 5 (p + 1)$
232554	Solve for x	( square root of 6x+4-1)/4=x	$\frac{\sqrt{6 x + 4} - 1}{4} = x$
232555	Solve the System of Equations	2u=14 degrees , cos(2u)=cos(u)^2-sin(u)^2	$2 u = 14 °$ , $\cos (2 u) = \cos^{2} (u) - \sin^{2} (u)$
232556	Evaluate	((-8x^3y^2)^2*2x^2y^6)/(32x^8y^3)	$\frac{{(- 8 x^{3} y^{2})}^{2} \cdot 2 x^{2} y^{6}}{32 x^{8} y^{3}}$
232557	Find the First Term	a_n=(n!)/(n+1)	$a_{n} = \frac{n!}{n + 1}$
232558	Find the Third Term	a_n=(n!)/(n+1)	$a_{n} = \frac{n!}{n + 1}$
232559	Evaluate	2/31/23	$\frac{2}{3} \cdot \frac{1}{2} \cdot 3$
232560	Solve for x	(4x)/9-1/3=x+5/3	$\frac{4 x}{9} - \frac{1}{3} = x + \frac{5}{3}$
232561	Subtract	-1 1/8-5/8	$- 1 \frac{1}{8} - \frac{5}{8}$
232562	Graph	4y=-x^2	$4 y = - x^{2}$
232563	Solve the Inequality for x	y<=5/3x-4	$y \leq \frac{5}{3} x - 4$
232564	Solve for y	y=1/2(2)^2	$y = \frac{1}{2} {(2)}^{2}$
232565	Combine Like Terms	-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5	$- 5 x^{3} y^{3} + 8 x^{4} y^{2} - x y^{5} - 2 x^{2} y^{4} + 8 x^{6} + 3 x^{2} y^{4} - 6 x y^{5}$
232566	Solve for c	5c^2+7c+1=2c	$5 c^{2} + 7 c + 1 = 2 c$
232567	Solve for x	8+13^(2x-5)=35	$8 + 13^{2 x - 5} = 35$
232568	Solve by Substitution	y=3/4x+1 y=1/4x+3	$y = \frac{3}{4} x + 1$ $y = \frac{1}{4} x + 3$
232569	Simplify	8^2-81*1/9	$8^{2} - 81 \cdot \frac{1}{9}$
232570	Solve for a	(y(x-a))/z=t	$\frac{y (x - a)}{z} = t$
232571	Graph	f(y)=x	$f (y) = x$
232572	Convert to a Percentage	2.05 is what percent of 82 ?	$2.05$ is what percent of $82$ ?
232573	Simplify	(yx^2)^4*(x^3y^4)^0	${(y x^{2})}^{4} \cdot {(x^{3} y^{4})}^{0}$
232574	Factor	32ax+12bx-48ay-18 by	$32 a x + 12 b x - 48 a y - 18$ by
232575	Evaluate	-(1+7x)-6(-7-x)=36	$- (1 + 7 x) - 6 (- 7 - x) = 36$
232576	Simplify	2* square root of 8	$2 \cdot \sqrt{8}$
232577	Solve for x	3 cube root of x+1=2	$3 \sqrt[3]{x + 1} = 2$
232578	Solve for r	-21/4=r-4/5	$- \frac{21}{4} = r - \frac{4}{5}$
232579	Convert to Scientific Notation	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \times 10^{4}) (1.9 \times 10^{- 3})}{(1.044) (500)}$
232580	Solve the System of Inequalities	x+y>2 4x+y>=-1	$x + y > 2$ $4 x + y \geq - 1$
232581	Solve the System of Equations	6x-y=9 1/3y=-3+2x	$6 x - y = 9$ $\frac{1}{3} y = - 3 + 2 x$
232582	Simplify	(11xy^-1z^0)/(w^-3)	$\frac{11 x y^{- 1} z^{0}}{w^{- 3}}$
232583	Solve for a	y=(ax+b)/c	$y = \frac{(a x + b)}{c}$
232584	Factor by Grouping	x^3+8y^3	$x^{3} + 8 y^{3}$
232585	Evaluate	(45-3x)^(1/2)=x-9	${(45 - 3 x)}^{\frac{1}{2}} = x - 9$
232586	Write in Standard Form	4x-y^2-2y-33=0	$4 x - y^{2} - 2 y - 33 = 0$
232587	Solve the Inequality for x	1/2x-7<=x^2	$\frac{1}{2} x - 7 \leq x^{2}$
232588	Solve the Rational Equation for x	(2x-9)/(x-7)+x/2=5/(x-7)	$\frac{2 x - 9}{x - 7} + \frac{x}{2} = \frac{5}{x - 7}$
232589	Evaluate	55% of 40	$55 %$ of $40$
232590	Simplify	3/(y+3)+(2y)/(y^2+7y+12)	$\frac{3}{y + 3} + \frac{2 y}{y^{2} + 7 y + 12}$
232591	Solve the System of Equations	x=4y x+2y=12	$x = 4 y$ $x + 2 y = 12$
232592	Find the Roots (Zeros)	C(t)=-0.005t^4+0.139t^3-0.051t^2+1.800t	$C (t) = - 0.005 t^{4} + 0.139 t^{3} - 0.051 t^{2} + 1.8 t$
232593	Evaluate	4*(5^2-12)-6	$4 \times (5^{2} - 12) - 6$
232594	Expand the Logarithmic Expression	natural log of fifth root of x^5(x^4-4)	$\ln (\sqrt[5]{x^{5} (x^{4} - 4)})$
232595	Simplify	(-2/5y^3)^2	${(- \frac{2}{5} y^{3})}^{2}$
232596	Evaluate	log base 2 of x-6+ log base 2 of 4=3	$\log_{2} (x - 6) + \log_{2} (4) = 3$
232597	Simplify	square root of 6x^2* square root of 48x	$\sqrt{6 x^{2}} \cdot \sqrt{48 x}$
232598	Solve for n	g(n)=-2n-4	$g (n) = - 2 n - 4$
232599	Find the Exact Value	\|6\|-\|-6\|-(-6)	$\| 6 \| - \| - 6 \| - (- 6)$
232600	Evaluate	(25*360/60)	$(25 \cdot \frac{360}{60})$