Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197401	Find the Roots (Zeros)	-6x^2+x-6=-8x^2	$- 6 x^{2} + x - 6 = - 8 x^{2}$
197402	Solve for y	y = log base 4 of 8	$y = \log_{4} (8)$
197403	Solve the Inequality for x	x+3<4x-3	$x + 3 < 4 x - 3$
197404	Graph	-6<=x<=4 and -25<=y<=10	$- 6 \leq x \leq 4$ and $- 25 \leq y \leq 10$
197405	Evaluate	2cos((2pi)/3)	$2 \cos (\frac{2 π}{3})$
197406	Graph	f(x)=1/16(x+2)(x-2)(x-4)	$f (x) = \frac{1}{16} (x + 2) (x - 2) (x - 4)$
197407	Solve for p	-7+(16p+8)^(1/3)=-1	$- 7 + {(16 p + 8)}^{\frac{1}{3}} = - 1$
197408	Find the Discriminant	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
197409	Solve for n	(5(n+4))/3=n-8	$\frac{5 (n + 4)}{3} = n - 8$
197410	Solve for x	3-2 cube root of x-1=5	$3 - 2 \sqrt[3]{x - 1} = 5$
197411	Simplify	(2+i)(8-3i)-(23+34i)	$(2 + i) (8 - 3 i) - (23 + 34 i)$
197412	Multiply	(-3a^2b^5c)(-9a^2b^5)(-11b^3c^7)	$(- 3 a^{2} b^{5} c) (- 9 a^{2} b^{5}) (- 11 b^{3} c^{7})$
197413	Multiply	-1*(-1/3)	$- 1 \cdot (- \frac{1}{3})$
197414	Solve the Inequality for x	x^2>100	$x^{2} > 100$
197415	Solve the Inequality for x	x^2+4>=0	$x^{2} + 4 \geq 0$
197416	Find the Product	(2+7i)(2-7i)	$(2 + 7 i) (2 - 7 i)$
197417	Find the Holes in the Graph	(4x^2-16)/(-5x+10)	$\frac{4 x^{2} - 16}{- 5 x + 10}$
197418	Graph	sin(theta)<0 , cot(theta)>0	$\sin (θ) < 0$ , $\cot (θ) > 0$
197419	Solve the Inequality for d	4-d<4+d	$4 - d < 4 + d$
197420	Find the Exact Value	csc(pi/4)^2	$\csc^{2} (\frac{π}{4})$
197421	Write as a Single Logarithm	log base b of 8-2 log base b of 2	$\log_{b} (8) - 2 \log_{b} (2)$
197422	Simplify	7-(x-3)/4+2	$7 - \frac{x - 3}{4} + 2$
197423	Evaluate	((c^2-4)/(c+3))÷((c+2)/(3(c^2-9)))	$\frac{c^{2} - 4}{c + 3} \div \frac{c + 2}{3 (c^{2} - 9)}$
197424	Evaluate	1/2(2a-6b+8)	$\frac{1}{2} (2 a - 6 b + 8)$
197425	Find the End Behavior	f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260	$f (x) = 123 x^{3} + 9 x^{4} - 768 x - 3 x^{5} - 189 x^{2} + 1260$
197426	Solve for h	-5(h+12)-(4h-2)=h-8	$- 5 (h + 12) - (4 h - 2) = h - 8$
197427	Graph	y=1/5x-7 y=-x-1	$y = \frac{1}{5} x - 7$ $y = - x - 1$
197428	Simplify the Radical Expression	((4^3)/(5^-2))^5	${(\frac{4^{3}}{5^{- 2}})}^{5}$
197429	Factor	13x-13y-8y+8x	$13 x - 13 y - 8 y + 8 x$
197430	Identify the Zeros and Their Multiplicities	f(x)=-(x+3)(x+1)^2(x-1)	$f (x) = - (x + 3) {(x + 1)}^{2} (x - 1)$
197431	Graph	y=5/2cos(2x-pi/2)	$y = \frac{5}{2} \cos (2 x - \frac{π}{2})$
197432	Find the Domain and Range	x+y=1	$x + y = 1$
197433	Solve for m	8m(1+2m)-(4m+3)(4m-3)=2m	$8 m (1 + 2 m) - (4 m + 3) (4 m - 3) = 2 m$
197434	Find the Roots (Zeros)	f(x)=(x^2-9)/(x^2-x-6)	$f (x) = \frac{x^{2} - 9}{x^{2} - x - 6}$
197435	Simplify	(1/(t^-7*t^-1))^(5/16)	${(\frac{1}{t^{- 7} \cdot t^{- 1}})}^{\frac{5}{16}}$
197436	Find the Roots (Zeros)	x^3+x^2	$x^{3} + x^{2}$
197437	Evaluate	4( square root of 147/3+3)	$4 (\sqrt{\frac{147}{3}} + 3)$
197438	Solve Using the Quadratic Formula	-18x+5=-15x^2+4x	$- 18 x + 5 = - 15 x^{2} + 4 x$
197439	Subtract	1/3-1/1	$\frac{1}{3} - \frac{1}{1}$
197440	Write in Slope-Intercept Form	x-3y<=18	$x - 3 y \leq 18$
197441	Solve for a	4b=2a-t	$4 b = 2 a - t$
197442	Simplify	Simplify csc(theta)cot(theta)^2+csc(theta)	Simplify $\csc (θ) \cot^{2} (θ) + \csc (θ)$
197443	Solve for x	-10+7(4x-1/2)=-1/2-2x	$- 10 + 7 (4 x - \frac{1}{2}) = - \frac{1}{2} - 2 x$
197444	Solve the Inequality for p	9(p+2)<=3(3p-5)	$9 (p + 2) \leq 3 (3 p - 5)$
197445	Determine the Nature of the Roots Using the Discriminant	x^2-4/5x=3	$x^{2} - \frac{4}{5} x = 3$
197446	Divide	(3x^3)÷3x	$3 x^{3} \div 3 x$
197447	Describe the Transformation	y=-\|x-5\|	$y = - \| x - 5 \|$
197448	Evaluate	1/(2(1/(2x)))	$\frac{1}{2 (\frac{1}{2 x})}$
197449	Graph	p(x)=x(2x-5)^2(x+2)	$p (x) = x {(2 x - 5)}^{2} (x + 2)$
197450	Simplify	a^6a^-5q^-9p^5	$a^{6} a^{- 5} q^{- 9} p^{5}$
197451	Divide Using Synthetic Division	3x^3-x^2-9x+7 by x-1	$3 x^{3} - x^{2} - 9 x + 7$ by $x - 1$
197452	Solve the Inequality for x	2x<-8(3/2x-3/2)-2	$2 x < - 8 (\frac{3}{2} x - \frac{3}{2}) - 2$
197453	Solve the Inequality for x	x(x-1)>0	$x (x - 1) > 0$
197454	Solve for x	6x+x(x-13)=18	$6 x + x (x - 13) = 18$
197455	Solve for x	8x-(6x-9)+(3x-2)=4-(7x-8)	$8 x - (6 x - 9) + (3 x - 2) = 4 - (7 x - 8)$
197456	Simplify	(m^3)^-1(x^2)^5	${(m^{3})}^{- 1} {(x^{2})}^{5}$
197457	Find f(g(x))	f(x)=-1/(6x) g(x)=1/(6x)	$f (x) = - \frac{1}{6 x}$ $g (x) = \frac{1}{6 x}$
197458	Simplify	-14-2x-10+3y+8x-16y	$- 14 - 2 x - 10 + 3 y + 8 x - 16 y$
197459	Evaluate	2+(30-8÷4)	$2 + (30 - 8 \div 4)$
197460	Find All Complex Solutions	x^(2/7)=2	$x^{\frac{2}{7}} = 2$
197461	Simplify	(x+1/3)^3	${(x + \frac{1}{3})}^{3}$
197462	Simplify	7 square root of 2+3 square root of 2+ square root of 2	$7 \sqrt{2} + 3 \sqrt{2} + \sqrt{2}$
197463	Solve the Inequality for x	5+8x<3(2x+4)	$5 + 8 x < 3 (2 x + 4)$
197464	Subtract	1--1/2	$1 - - \frac{1}{2}$
197465	Multiply	(3m^3-1/2y)(3m^3-1/2y)	$(3 m^{3} - \frac{1}{2} y) (3 m^{3} - \frac{1}{2} y)$
197466	Simplify	1/(1-1/(1-1/x))	$\frac{1}{1 - \frac{1}{1 - \frac{1}{x}}}$
197467	Solve for x	(3x-1)/(x^2+7x+12)=1/(2x+6)+7/(6x+24)	$\frac{3 x - 1}{x^{2} + 7 x + 12} = \frac{1}{2 x + 6} + \frac{7}{6 x + 24}$
197468	Solve for x	3(x-4)(49x^2-16)=0	$3 (x - 4) (49 x^{2} - 16) = 0$
197469	Factor	49x^6-70ax^3y^2+25a^2y^4	$49 x^{6} - 70 a x^{3} y^{2} + 25 a^{2} y^{4}$
197470	Find the Distance Between Two Points	(2,-8) and (-6,-1)	$(2, - 8)$ and $(- 6, - 1)$
197471	Graph	f(x)<3(x-2)^2-5	$f (x) < 3 {(x - 2)}^{2} - 5$
197472	Simplify	(3x^2y+2xy^2-3xy+4x)+(3xy^2-2x^2y+xy-3y)	$(3 x^{2} y + 2 x y^{2} - 3 x y + 4 x) + (3 x y^{2} - 2 x^{2} y + x y - 3 y)$
197473	Evaluate	3(x+h)^2+4(x+h)-2	$3 {(x + h)}^{2} + 4 (x + h) - 2$
197474	Convert to a Simplified Fraction	(9^-3)/(9^12)	$\frac{9^{- 3}}{9^{12}}$
197475	Solve for x	(x+30)+(x+25)=7x	$(x + 30) + (x + 25) = 7 x$
197476	Graph	6pi	$6 π$
197477	Convert to Interval Notation	2(x+1)-3(x-2)<x+6	$2 (x + 1) - 3 (x - 2) < x + 6$
197478	Simplify	b/15*21/b	$\frac{b}{15} \cdot \frac{21}{b}$
197479	Find the Roots (Zeros)	f(x)=(4x^2-36x)/(x-9)	$f (x) = \frac{4 x^{2} - 36 x}{x - 9}$
197480	Solve the Inequality for x	3/(x+5)>2	$\frac{3}{x + 5} > 2$
197481	Solve the System of Equations	2x+3y=16.9 5x=y+7.4	$2 x + 3 y = 16.9$ $5 x = y + 7.4$
197482	Find the Parabola with Focus (6,-4) and Directrix y=-7	(6,-4) y=-7	$(6, - 4)$ $y = - 7$
197483	Find the Discriminant	x(x-2)+1=0	$x (x - 2) + 1 = 0$
197484	Simplify	((2x^3y^4)/(z^3))*4	$(\frac{2 x^{3} y^{4}}{z^{3}}) \cdot 4$
197485	Solve for c	f=c/(c-e)	$f = \frac{c}{c - e}$
197486	Find the Distance Between Two Points	(5,2) and (-1,9)	$(5, 2)$ and $(- 1, 9)$
197487	Graph	y>x+1 , y<=10 , x>=0	$y > x + 1$ , $y \leq 10$ , $x \geq 0$
197488	Factor	x^6-64=0	$x^{6} - 64 = 0$
197489	Write the Fraction in Simplest Form	1/(1-cos(theta))+1/(1+cos(theta))	$\frac{1}{1 - \cos (θ)} + \frac{1}{1 + \cos (θ)}$
197490	Solve for t	2/t-(3t)/2=7	$\frac{2}{t} - \frac{3 t}{2} = 7$
197491	Multiply	(3b-5)/(b^2)*(b^4)/(5-3b)	$\frac{3 b - 5}{b^{2}} \cdot \frac{b^{4}}{5 - 3 b}$
197492	Multiply	(y^2-16)/(2y+6)*(y+3)/(y-4)	$\frac{y^{2} - 16}{2 y + 6} \cdot \frac{y + 3}{y - 4}$
197493	Solve for x	(3^(x/2))/9=3(3^(2x))	$\frac{3^{\frac{x}{2}}}{9} = 3 (3^{2 x})$
197494	Find All Complex Solutions	-4(x-5)+8x=9x-3	$- 4 (x - 5) + 8 x = 9 x - 3$
197495	Solve for x	14+56x-22=8(7x-1)	$14 + 56 x - 22 = 8 (7 x - 1)$
197496	Solve for c	-(a+b)c=-a-b	$- (a + b) c = - a - b$
197497	Solve for x	5/(x^2-7x+12)-2/(3-x)=5/(x-4)	$\frac{5}{x^{2} - 7 x + 12} - \frac{2}{3 - x} = \frac{5}{x - 4}$
197498	Divide	(-300x^5y^4)÷xy^2	$- 300 x^{5} y^{4} \div x y^{2}$
197499	Solve for w	5w(5w+12)=-32	$5 w (5 w + 12) = - 32$
197500	Solve for x	(2(x-1))/3=x	$\frac{2 (x - 1)}{3} = x$