Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173401	Simplify	x-(-2x+4)	$x - (- 2 x + 4)$
173402	Simplify	1/(x^(-3/6))	$\frac{1}{x^{\frac{- 3}{6}}}$
173403	Solve for x	3/x-(x+21)/(3x)=5/3	$\frac{3}{x} - \frac{x + 21}{3 x} = \frac{5}{3}$
173404	Simplify	(8x^2-3x+1/3)-(2x^2-8x+3/5)	$(8 x^{2} - 3 x + \frac{1}{3}) - (2 x^{2} - 8 x + \frac{3}{5})$
173405	Solve for a	7a-3=3-2a	$7 a - 3 = 3 - 2 a$
173406	Solve for x	x=-(4+x)+2	$x = - (4 + x) + 2$
173407	Find the Equation Using Slope-Intercept Form	slope 7 that passes through (-1,-5)	slope $7$ that passes through $(- 1, - 5)$
173408	Solve for v	-1.7v+2.8=1.4v-3.1v+2.8	$- 1.7 v + 2.8 = 1.4 v - 3.1 v + 2.8$
173409	Solve for x	4x+2-(3+3x)=7	$4 x + 2 - (3 + 3 x) = 7$
173410	Find the Complex Conjugate	8+ square root of 3	$8 + \sqrt{3}$
173411	Factor	x^4y^8-z^4	$x^{4} y^{8} - z^{4}$
173412	Find the Excluded Values	(x-2)/((x+9)(x-5))	$\frac{x - 2}{(x + 9) (x - 5)}$
173413	Solve for x	4+ square root of 5x+66=x+10	$4 + \sqrt{5 x + 66} = x + 10$ ?
173414	Find the x and y Intercepts	f(x)=3(0.2)^x+2	$f (x) = 3 {(0.2)}^{x} + 2$
173415	Simplify	\|-8-(-7)\|	$\| - 8 - (- 7) \|$
173416	Solve for d	-1/3d=2	$- \frac{1}{3} d = 2$
173417	Simplify	3xy+5x+2+3y+x+4	$3 x y + 5 x + 2 + 3 y + x + 4$
173418	Evaluate	2(x+1)^2	$2 {(x + 1)}^{2}$
173419	Solve for y	(y+2)/(y^2-y-2)+(y+1)/(y^2-4)=1/(y+1)	$\frac{y + 2}{y^{2} - y - 2} + \frac{y + 1}{y^{2} - 4} = \frac{1}{y + 1}$
173420	Solve for x	2/3(6x+6)=4x+4	$\frac{2}{3} (6 x + 6) = 4 x + 4$
173421	Solve the Inequality for x	-2(3x+2)>=-6x-4	$- 2 (3 x + 2) \geq - 6 x - 4$
173422	Describe the Transformation	f(x)=(1/3)^x	$f (x) = {(\frac{1}{3})}^{x}$
173423	Solve for n	-12n^2-11n=-15	$- 12 n^{2} - 11 n = - 15$
173424	Find the Distance Between Two Points	(-6,5) and (-3,1)	$(- 6, 5)$ and $(- 3, 1)$
173425	Solve for x	(2x+1)/(x^2)=3/(4x)	$\frac{2 x + 1}{x^{2}} = \frac{3}{4 x}$
173426	Find the Roots (Zeros)	(2x^2+7x+5)(x-3)	$(2 x^{2} + 7 x + 5) (x - 3)$
173427	Graph	y<=1 y-x<0	$y \leq 1$ $y - x < 0$
173428	Solve for n	8x-10=-2(nx+-8)	$8 x - 10 = - 2 (n x + - 8)$
173429	Solve for y	3y=7+5(y-3)	$3 y = 7 + 5 (y - 3)$
173430	Solve the System of Inequalities	1<4x+9 and 21>4x+9	$1 < 4 x + 9$ and $21 > 4 x + 9$
173431	Find the Holes in the Graph	((2x-1)(x+4)^2(x-1)(3x+2))/(3x(x-4)(2x-1)^3)	$\frac{(2 x - 1) {(x + 4)}^{2} (x - 1) (3 x + 2)}{3 x (x - 4) {(2 x - 1)}^{3}}$
173432	Graph	y=(1/3x)^2	$y = {(\frac{1}{3} x)}^{2}$
173433	Simplify	3x+2-3x+7+5x	$3 x + 2 - 3 x + 7 + 5 x$
173434	Simplify	(x^-8*x^8)/(x^4)	$\frac{x^{- 8} \cdot x^{8}}{x^{4}}$
173435	Find the Function	f(x)=mx+b	$f (x) = m x + b$
173436	Graph	y<-2x+3 or y>=3x-2	$y < - 2 x + 3$ or $y \geq 3 x - 2$
173437	Solve for y	6x-3y=-6 for y	$6 x - 3 y = - 6$ for $y$
173438	Simplify	(2a-3b)(a^2-ab+3b)	$(2 a - 3 b) (a^{2} - a b + 3 b)$
173439	Solve by Substitution	-y=x 9x-7y=-16	$- y = x$ $9 x - 7 y = - 16$
173440	Evaluate	5/8e-2=4+1/4e-3/4e	$\frac{5}{8} e - 2 = 4 + \frac{1}{4} e - \frac{3}{4} e$
173441	Describe the Transformation	3f(x)	$3 f (x)$
173442	Solve Using the Quadratic Formula	x^2-(2x+1)^2=0	$x^{2} - {(2 x + 1)}^{2} = 0$
173443	Graph	y>=-\|3x+6\|+1	$y \geq - \| 3 x + 6 \| + 1$
173444	Write in Standard Form	f(x)=-(x^2+2x-3)	$f (x) = - (x^{2} + 2 x - 3)$
173445	Simplify	\|6-(-2)\|	$\| 6 - (- 2) \|$
173446	Solve for a	4/(3a-5)+(3a^2+38a+36)/(25a-9a^3)=3/(3a+5)	$\frac{4}{3 a - 5} + \frac{3 a^{2} + 38 a + 36}{25 a - 9 a^{3}} = \frac{3}{3 a + 5}$
173447	Graph	y=2(-x)^2-3	$y = 2 {(- x)}^{2} - 3$
173448	Solve for y	2/3+y-1/9=7/9	$\frac{2}{3} + y - \frac{1}{9} = \frac{7}{9}$
173449	Find the Excluded Values	((x-4)^2)/((x-9)^2)	$\frac{{(x - 4)}^{2}}{{(x - 9)}^{2}}$
173450	Solve for t	1/40+1/60=1/t	$\frac{1}{40} + \frac{1}{60} = \frac{1}{t}$
173451	Solve for n	n-6=2n-n	$n - 6 = 2 n - n$
173452	Solve for θ	cos(2theta)+14sin(theta)^2=10	$\cos (2 θ) + 14 \sin^{2} (θ) = 10$
173453	Simplify	4(5x^2-9x+7)+2(-10x^2+18x-13)	$4 (5 x^{2} - 9 x + 7) + 2 (- 10 x^{2} + 18 x - 13)$
173454	Simplify	square root of 5(2 square root of 6x- square root of 96x)	$\sqrt{5} (2 \sqrt{6 x} - \sqrt{96 x})$
173455	Solve for b	1/4=-1/2b+1/4	$\frac{1}{4} = - \frac{1}{2} b + \frac{1}{4}$
173456	Find the Discriminant	5x^2-49x+421=x^2+7x-3	$5 x^{2} - 49 x + 421 = x^{2} + 7 x - 3$
173457	Simplify	3xy-2xy-5+7+xy	$3 x y - 2 x y - 5 + 7 + x y$
173458	Simplify	2m^24m^(3/2)4m^-2	$2 m^{2} \cdot 4 m^{\frac{3}{2}} \cdot 4 m^{- 2}$
173459	Simplify	x^2*3x^2	$x^{2} \cdot 3 x^{2}$
173460	Simplify	(7x^2)/(x^2-49)-(7x)/(x+7)+7/(x-7)	$\frac{7 x^{2}}{x^{2} - 49} - \frac{7 x}{x + 7} + \frac{7}{x - 7}$
173461	Combine Like Terms	1/2(6e-3f-3/4)	$\frac{1}{2} (6 e - 3 f - \frac{3}{4})$
173462	Find All Complex Solutions	sec(theta)- square root of 2=0	$\sec (θ) - \sqrt{2} = 0$
173463	Solve for k	D=1/5fk for k	$D = \frac{1}{5} f k$ for $k$
173464	Simplify	((a^2)/(b^3))^5(b/(a^5))^2	${(\frac{a^{2}}{b^{3}})}^{5} {(\frac{b}{a^{5}})}^{2}$
173465	Find the Function	f(x)=-6	$f (x) = - 6$
173466	Find the Excluded Values	(x-6)/(x+4)	$\frac{x - 6}{x + 4}$
173467	Simplify	-3+7(a-3b-1)-4(10-a+2b)	$- 3 + 7 (a - 3 b - 1) - 4 (10 - a + 2 b)$
173468	Solve the Inequality for x	-6<=-7+x	$- 6 \leq - 7 + x$
173469	Simplify	(2^0*x^-3)^4	${(2^{0} \cdot x^{- 3})}^{4}$
173470	Solve for r	v=(r-s)/2	$v = \frac{r - s}{2}$
173471	Simplify	(10k^-10b^-9)/(5(k^-5b^2)^-3)	$\frac{10 k^{- 10} b^{- 9}}{5 {(k^{- 5} b^{2})}^{- 3}}$
173472	Solve for x	(2x)/5+5x=22/15	$\frac{2 x}{5} + 5 x = \frac{22}{15}$
173473	Multiply	(3x-2y)(y+2x)	$(3 x - 2 y) (y + 2 x)$
173474	Evaluate	(4!)/(6!)	$\frac{4!}{6!}$
173475	Solve for x	2 1/7+3/7(3x-5)=-4	$2 \frac{1}{7} + \frac{3}{7} (3 x - 5) = - 4$
173476	Solve the Inequality for x	0.35x-4.8<5.2-0.9x	$0.35 x - 4.8 < 5.2 - 0.9 x$
173477	Solve for x	4/5(20x+5)=16x-2	$\frac{4}{5} (20 x + 5) = 16 x - 2$
173478	Solve by Substitution	x=y -3x-y=4	$x = y$ $- 3 x - y = 4$
173479	Solve for a	a(x+3)<5x+15-x	$a (x + 3) < 5 x + 15 - x$
173480	Simplify	(6x^2)/(2xy)+(8z)/(xz)	$\frac{6 x^{2}}{2 x y} + \frac{8 z}{x z}$
173481	Simplify	(xx^8y^-3)/(y^7)	$\frac{x \cdot x^{8} y^{- 3}}{y^{7}}$
173482	Factor	m^2p^2-3np^2+m^2z^2-3nz^2	$m^{2} p^{2} - 3 n p^{2} + m^{2} z^{2} - 3 n z^{2}$
173483	Graph	1-12+y>=-5	$1 - 12 + y \geq - 5$
173484	Simplify	((3x+6)/(x+3))÷((x+3)/(2x))*((x+3)^2)/6	$\frac{3 x + 6}{x + 3} \div \frac{x + 3}{2 x} \cdot \frac{{(x + 3)}^{2}}{6}$
173485	Simplify	4(x-2+y)	$4 (x - 2 + y)$
173486	Multiply	square root of 5x^8y^2* square root of 10x^3* square root of 12y	$\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x^{3}} \cdot \sqrt{12 y}$
173487	Simplify	((x^2-4)/(4x^2-12x))÷((2x+4)/(-x^2+5x-6))	$\frac{x^{2} - 4}{4 x^{2} - 12 x} \div \frac{2 x + 4}{- x^{2} + 5 x - 6}$
173488	Evaluate	2*(-1/3)	$2 \cdot (- \frac{1}{3})$
173489	Solve the Rational Equation for y	(y+3)/(y-1)=4/(y-1)	$\frac{y + 3}{y - 1} = \frac{4}{y - 1}$
173490	Solve the System of Equations	y=3x-4 -3y=-9x+12	$y = 3 x - 4$ $- 3 y = - 9 x + 12$
173491	Solve the Inequality for x	4/(x+2)>2	$\frac{4}{x + 2} > 2$
173492	Simplify	10a-7b+11+8a-b-12	$10 a - 7 b + 11 + 8 a - b - 12$
173493	Simplify	6a(b+2c)	$6 a (b + 2 c)$
173494	Solve for r	2(3r+4)-3(r+1)=11	$2 (3 r + 4) - 3 (r + 1) = 11$
173495	Solve for d	c=(2d+1)/3	$c = \frac{2 d + 1}{3}$
173496	Solve the Absolute Value Inequality for x	9\|x+8\|+10<55	$9 \| x + 8 \| + 10 < 55$
173497	Write in Slope-Intercept Form	y=8(x-4)+6x	$y = 8 (x - 4) + 6 x$
173498	Graph	f(x)=4^x , f^-1(x) = log base 4 of x	$f (x) = 4^{x}$ , $f^{- 1} (x) = \log_{4} (x)$
173499	Solve the System of Inequalities	-41<4x-5 or 15<4x-5	$- 41 < 4 x - 5$ or $15 < 4 x - 5$
173500	Simplify	square root of (z^11)/(81z)	$\sqrt{\frac{z^{11}}{81 z}}$