Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190401	Simplify	((3x^2y^6)/(4y^4z))^-3	${(\frac{3 x^{2} y^{6}}{4 y^{4} z})}^{- 3}$
190402	Solve the System of Equations	5/6x-1/2y=-5 -1/5x+1/3y=-2	$\frac{5}{6} x - \frac{1}{2} y = - 5$ $- \frac{1}{5} x + \frac{1}{3} y = - 2$
190403	Simplify	(3(a-b))/9+4/9b	$\frac{3 (a - b)}{9} + \frac{4}{9} b$
190404	Simplify	(3 square root of -5)(-4 square root of -12)	$(3 \sqrt{- 5}) (- 4 \sqrt{- 12})$
190405	Simplify/Condense	(sec(t)-cos(t))/(sin(t))	$\frac{\sec (t) - \cos (t)}{\sin (t)}$
190406	Solve for y	y=(2y+1)/5	$y = \frac{2 y + 1}{5}$
190407	Graph	t/-4+6<=8	$\frac{t}{- 4} + 6 \leq 8$
190408	Solve the Inequality for y	4x-2y<=8	$4 x - 2 y \leq 8$
190409	Solve the Inequality for x	10-8x>26	$10 - 8 x > 26$
190410	Graph	f(x)=[[x]]+2	$f (x) = [\begin{array}{c} x \end{array}] + 2$
190411	Evaluate the Function	f(-x)=(4(-x)^2-1)/((-x)^2)	$f (- x) = \frac{4 {(- x)}^{2} - 1}{{(- x)}^{2}}$
190412	Simplify	(3x^2+4x-4)+(-3-x-x^2)	$(3 x^{2} + 4 x - 4) + (- 3 - x - x^{2})$
190413	Evaluate	-1- cube root of -1	$- 1 - \sqrt[3]{- 1}$
190414	Find the Excluded Values	(x^2-4)/(x^2+5x+6)	$\frac{x^{2} - 4}{x^{2} + 5 x + 6}$
190415	Solve for x	2^(x^2)=16	$2^{x^{2}} = 16$
190416	Evaluate	2(12)^(3/2)	$2 {(12)}^{\frac{3}{2}}$
190417	Evaluate	-15/(24+1)	$- \frac{15}{24 + 1}$
190418	Simplify	(1/x)÷(1/(x^2))	$\frac{1}{x} \div \frac{1}{x^{2}}$
190419	Find the x and y Intercepts	f(x)=x^5-1+3x^4	$f (x) = x^{5} - 1 + 3 x^{4}$
190420	Evaluate	(3-5(8+2)-10)(-2+9(32/4))	$(3 - 5 (8 + 2) - 10) (- 2 + 9 (\frac{32}{4}))$
190421	Solve the Inequality for x	(x+1)(x-5)(x^2+9)<=0	$(x + 1) (x - 5) (x^{2} + 9) \leq 0$
190422	Simplify	3^23^-33^(2/3)	$3^{2} \cdot 3^{- 3} \cdot 3^{\frac{2}{3}}$
190423	Simplify	(1/(5x)+1/(x^2))/((x+7)/10+1/x)	$\frac{\frac{1}{5 x} + \frac{1}{x^{2}}}{\frac{x + 7}{10} + \frac{1}{x}}$
190424	Simplify	(24pn)/(18p^2)	$\frac{24 p n}{18 p^{2}}$
190425	Graph Using a Table of Values	f(x)=(x^2+6x+9)/(x^3+7x^2)	$f (x) = \frac{x^{2} + 6 x + 9}{x^{3} + 7 x^{2}}$
190426	Find the Distance Between Two Points	(8,0) and (4,-4)	$(8, 0)$ and $(4, - 4)$
190427	Evaluate	40/360*pi(12)^2	$\frac{40}{360} \cdot π {(12)}^{2}$
190428	Simplify	(xy)/x	$\frac{x y}{x}$
190429	Write in Standard Form	-12x=3-5x^2	$- 12 x = 3 - 5 x^{2}$
190430	Simplify the Radical Expression	1/(x^(-3/6))	$\frac{1}{x^{\frac{- 3}{6}}}$
190431	Factor	2(x+y)^2+7x(x+y)+5x^2	$2 {(x + y)}^{2} + 7 x (x + y) + 5 x^{2}$
190432	Solve the Inequality for x	4x+5<x-4	$4 x + 5 < x - 4$
190433	Graph	y=x^3-3,x<2; x^2+6,x>=2	$y = {\begin{cases} x^{3} - 3, x < 2 \\ x^{2} + 6, x \geq 2 \end{cases}$
190434	Evaluate	(f(40)-f(0))/(40-0)	$\frac{f (40) - f (0)}{40 - 0}$
190435	Simplify	x^-9y^10z^7*yx^4	$x^{- 9} y^{10} z^{7} \cdot y x^{4}$
190436	Graph	f(x)=x^2 g(x)=x^2+1	$f (x) = x^{2}$ $g (x) = x^{2} + 1$
190437	Find the Exact Value	cos(540 degrees )	$\cos (540 °)$
190438	Evaluate	(4+(-2))/2	$\frac{4 + (- 2)}{2}$
190439	Solve for y	(y+4)-(y-1)=6y	$(y + 4) - (y - 1) = 6 y$
190440	Solve for x	2xy=x+7	$2 x y = x + 7$
190441	Graph	y<=3x+1 x-y>1	$y \leq 3 x + 1$ $x - y > 1$
190442	Simplify	(1/a+1/b)/(((a+b)^2)/(3ab))	$\frac{\frac{1}{a} + \frac{1}{b}}{\frac{{(a + b)}^{2}}{3 a b}}$
190443	Evaluate Using the Given Value	2(x-4)+3x-x^2 for x=2	$2 (x - 4) + 3 x - x^{2}$ for $x = 2$
190444	Graph	-1/2x>=4 ?	$- \frac{1}{2} x \geq 4$ ?
190445	Solve for x	(x^2)/25-6=-2	$\frac{x^{2}}{25} - 6 = - 2$
190446	Find the x and y Intercepts	f(x)=-6x^2-2+8x^3+8x	$f (x) = - 6 x^{2} - 2 + 8 x^{3} + 8 x$
190447	Write in Slope-Intercept Form	(1,2) and (-1,4)	$(1, 2)$ and $(- 1, 4)$
190448	Write in Standard Form	3(x^2-2x+4)=0	$3 (x^{2} - 2 x + 4) = 0$
190449	Factor	100m^2n^4-1/16x^8	$100 m^{2} n^{4} - \frac{1}{16} x^{8}$
190450	Solve for x	(2x+4)/3=x/6-3	$\frac{2 x + 4}{3} = \frac{x}{6} - 3$
190451	Simplify	( cube root of -80x^9)/( cube root of 2x^2)	$\frac{\sqrt[3]{- 80 x^{9}}}{\sqrt[3]{2 x^{2}}}$
190452	Solve the Inequality for g	g+2-2(g-16)>0	$g + 2 - 2 (g - 16) > 0$
190453	Factor	x^5+14x-9x^3	$x^{5} + 14 x - 9 x^{3}$
190454	Solve for θ	1-sin(theta)=2cos(theta)^2	$1 - \sin (θ) = 2 \cos^{2} (θ)$
190455	Simplify	( cube root of 3* cube root of 18)/( sixth root of 2* sixth root of 2)	$\frac{\sqrt[3]{3} \cdot \sqrt[3]{18}}{\sqrt[6]{2} \cdot \sqrt[6]{2}}$
190456	Determine if Perpendicular	x+y=7 x-y=9	$x + y = 7$ $x - y = 9$
190457	Simplify	(x^2+3x-9)(4-x)^-1	$(x^{2} + 3 x - 9) {(4 - x)}^{- 1}$
190458	Solve the Absolute Value Inequality for r	-51=3-\|6-12r\|	$- 51 = 3 - \| 6 - 12 r \|$
190459	Simplify	(2/(3m)-1/(2m))/(3/(3m)+4/(5m))	$\frac{\frac{2}{3 m} - \frac{1}{2 m}}{\frac{3}{3 m} + \frac{4}{5 m}}$
190460	Solve the System of Inequalities	y>3/2x-1 y<3/2x-1	$y > \frac{3}{2} x - 1$ $y < \frac{3}{2} x - 1$
190461	Solve by Substitution	x=3y x-3y=0	$x = 3 y$ $x - 3 y = 0$
190462	Simplify	( square root of 2)/2*1/2	$\frac{\sqrt{2}}{2} \cdot \frac{1}{2}$
190463	Solve the Rational Equation for x	(x-4)/-2-(4x+5)/(2x+3)=0	$\frac{x - 4}{- 2} - \frac{4 x + 5}{2 x + 3} = 0$
190464	Write in Standard Form	f(x)=x^2	$f (x) = x^{2}$
190465	Multiply	(4a^3c-7a^2b-2c)(-3ac^4)	$(4 a^{3} c - 7 a^{2} b - 2 c) (- 3 a c^{4})$
190466	Simplify	((36-24)*12.2)/((1-2)+(2-1))	$\frac{(36 - 24) \cdot 12.2}{(1 - 2) + (2 - 1)}$
190467	Solve the Inequality for x	x^3-49x>=0	$x^{3} - 49 x \geq 0$
190468	Evaluate	(9*5/6)^2	${(9 \cdot \frac{5}{6})}^{2}$
190469	Solve the Rational Equation for n	1/(n^2)+4/n=3/(n^2)	$\frac{1}{n^{2}} + \frac{4}{n} = \frac{3}{n^{2}}$
190470	Find the Inverse	f(x) = log of 5x	$f (x) = \log (5 x)$
190471	Determine if Perpendicular	y=-2/5x+3 y=2/5x+8	$y = - \frac{2}{5} x + 3$ $y = \frac{2}{5} x + 8$
190472	Solve for c	f=32+1.8c	$f = 32 + 1.8 c$
190473	Solve for x	2/(5x)-1/(2x)=-1/2	$\frac{2}{5 x} - \frac{1}{2 x} = - \frac{1}{2}$
190474	Simplify	1*1/2	$1 \cdot \frac{1}{2}$
190475	Evaluate	2/3*2pi	$\frac{2}{3} \cdot 2 π$
190476	Solve the System of Equations	3x-1/5y=3/5 1/2x-1/3y=-17	$3 x - \frac{1}{5} y = \frac{3}{5}$ $\frac{1}{2} x - \frac{1}{3} y = - 17$
190477	Simplify	(3(x/2)-5)/((x/2)-4)	$\frac{3 (\frac{x}{2}) - 5}{(\frac{x}{2}) - 4}$
190478	Simplify	(5x^2y^-3)(4x^-5y^4)	$(5 x^{2} y^{- 3}) (4 x^{- 5} y^{4})$
190479	Find the Degree, Leading Term, and Leading Coefficient	-x^5+3-10x^2-1/7x	$- x^{5} + 3 - 10 x^{2} - \frac{1}{7} x$
190480	Simplify	(2x+3y)^2+(2x-3y)^2	${(2 x + 3 y)}^{2} + {(2 x - 3 y)}^{2}$
190481	Find the Product	(x^2)^3	${(x^{2})}^{3}$
190482	Find the Equation Using Slope-Intercept Form	a=2 and b=1	$a = 2$ and $b = 1$
190483	Solve for n	6/(2n-5)=2/(n-7)	$\frac{6}{2 n - 5} = \frac{2}{n - 7}$
190484	Solve the System of Equations	2x=12 x-5y=-29	$2 x = 12$ $x - 5 y = - 29$
190485	Rationalize the Denominator	(1x)/( square root of 5)	$\frac{1 x}{\sqrt{5}}$
190486	Multiply	3(-1/3)	$3 (- \frac{1}{3})$
190487	Divide	(6x)/2	$\frac{6 x}{2}$
190488	Find the Excluded Values	1/((v-6)(v+3))	$\frac{1}{(v - 6) (v + 3)}$
190489	Evaluate	f(-3)=2^-3	$f (- 3) = 2^{- 3}$
190490	Solve the System of Equations	x^2-y=4 y=3x	$x^{2} - y = 4$ $y = 3 x$
190491	Solve the System of Equations	15x-5y=-20 -3x+y=4	$15 x - 5 y = - 20$ $- 3 x + y = 4$
190492	Multiply	(6a-7b^2)(-3a+9b^2)	$(6 a - 7 b^{2}) (- 3 a + 9 b^{2})$
190493	Simplify	cube root of (b^3)/( square root of b^3)	$\sqrt[3]{\frac{b^{3}}{\sqrt[2]{b^{3}}}}$
190494	Find the Excluded Values	(4x^2-8x)/(x+1)*(x^2+2x+1)/(4x)	$\frac{4 x^{2} - 8 x}{x + 1} \cdot \frac{x^{2} + 2 x + 1}{4 x}$
190495	Solve the Inequality for x	16x<=x^3	$16 x \leq x^{3}$
190496	Write in Standard Form	4x^2-128y=0	$4 x^{2} - 128 y = 0$
190497	Evaluate	35/60*2pi	$\frac{35}{60} \cdot 2 π$
190498	Solve the System of Equations	x+y+2z=-3 x+2y-2z=4 2x+y-z=5	$x + y + 2 z = - 3$ $x + 2 y - 2 z = 4$ $2 x + y - z = 5$
190499	Evaluate	(1+1/(1-1/2))(1-1/(1+1/2))	$(1 + \frac{1}{1 - \frac{1}{2}}) (1 - \frac{1}{1 + \frac{1}{2}})$
190500	Subtract	(3x-4y)-(x+2y)	$(3 x - 4 y) - (x + 2 y)$