Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189401	Solve for x	4x^4-18x^2=0	$4 x^{4} - 18 x^{2} = 0$
189402	Solve for x	log of 7+ log of x^2-4 = log of 35	$\log (7) + \log (x^{2} - 4) = \log (35)$
189403	Factor	p(x)=x^3-2x^2-4x^2+8x	$p (x) = x^{3} - 2 x^{2} - 4 x^{2} + 8 x$
189404	Find the Distance Between Two Points	(-8,1) and (-4,-5)	$(- 8, 1)$ and $(- 4, - 5)$
189405	Solve the Absolute Value Inequality for y	\|4-2y\|+5=9	$\| 4 - 2 y \| + 5 = 9$
189406	Find the Exact Value	sin(2arctan(-3/4))	$\sin (2 \arctan (- \frac{3}{4}))$
189407	Solve for j	2j+5=3+2j+2	$2 j + 5 = 3 + 2 j + 2$
189408	Graph	y>=x-2 and y<=x+1	$y \geq x - 2$ and $y \leq x + 1$
189409	Combine Like Terms	-3-7(-3-6v)	$- 3 - 7 (- 3 - 6 v)$
189410	Find the Distance Between Two Points	(4,3) and (8,9)	$(4, 3)$ and $(8, 9)$
189411	Solve in Terms of the Arbitrary Variable a	y=2x-3 and y=ax+2	$y = 2 x - 3$ and $y = a x + 2$
189412	Solve for x	8(x+1/2)=5(x+1)+1/4	$8 (x + \frac{1}{2}) = 5 (x + 1) + \frac{1}{4}$
189413	Evaluate	square root of (( square root of 2)/2)^2+(( square root of 2)/2)^2	$\sqrt{{(\frac{\sqrt{2}}{2})}^{2} + {(\frac{\sqrt{2}}{2})}^{2}}$
189414	Factor	x^5+x^3-2x	$x^{5} + x^{3} - 2 x$
189415	Find the x and y Intercepts	f(x)=(3x^2-3)/(5x-8)	$f (x) = \frac{3 x^{2} - 3}{5 x - 8}$
189416	Solve for b	y=-2x+b	$y = - 2 x + b$
189417	Solve for x	-3(-2x+20)+8(x+12)=92	$- 3 (- 2 x + 20) + 8 (x + 12) = 92$
189418	Simplify	2/(5(x-4))+7/(x-4)	$\frac{2}{5 (x - 4)} + \frac{7}{x - 4}$
189419	Simplify	((x^2)/3-x)/(x^2-x)	$\frac{\frac{x^{2}}{3} - x}{x^{2} - x}$
189420	Divide	y/y	$\frac{y}{y}$
189421	Combine Like Terms	(5g+3h+4)*2	$(5 g + 3 h + 4) \cdot 2$
189422	Solve for a	r = square root of a/pi	$r = \sqrt{\frac{a}{π}}$
189423	Solve for x	2csc(x)+17=15+csc(x)	$2 \csc (x) + 17 = 15 + \csc (x)$
189424	Simplify	2(x^2+5)-3(x+1)+3	$2 (x^{2} + 5) - 3 (x + 1) + 3$
189425	Simplify	-3/5+(-8/2)	$- \frac{3}{5} + (- \frac{8}{2})$
189426	Find the Inverse	x^(1/2)	$x^{\frac{1}{2}}$
189427	Solve Using the Quadratic Formula	f(x)=x^2-9	$f (x) = x^{2} - 9$
189428	Find the Roots (Zeros)	f(x)=(x+2)(x+1)^2(x-1)	$f (x) = (x + 2) {(x + 1)}^{2} (x - 1)$
189429	Solve for x	cube root of (x-1)^4=16	$\sqrt[3]{{(x - 1)}^{4}} = 16$
189430	Solve for x	4x^5-16x^4+16x^3=0	$4 x^{5} - 16 x^{4} + 16 x^{3} = 0$
189431	Find Any Equation Perpendicular to the Line	x=0	$x = 0$
189432	Factor	(x^4-y^4)	$(x^{4} - y^{4})$
189433	Solve the System of Equations	y=-5 5x+4y=-20	$y = - 5$ $5 x + 4 y = - 20$
189434	Factor	18ax+9ay+3a	$18 a x + 9 a y + 3 a$
189435	Solve for x	(2x-3)/6-(x+2)/4=1/3	$\frac{2 x - 3}{6} - \frac{x + 2}{4} = \frac{1}{3}$
189436	Solve for x	4/x=1/(x^2+4x)+5/x	$\frac{4}{x} = \frac{1}{x^{2} + 4 x} + \frac{5}{x}$
189437	Evaluate	1+tan(theta)^2=sec(theta)^2	$1 + \tan^{2} (θ) = \sec^{2} (θ)$
189438	Evaluate	tan(x)=-1	$\tan (x) = - 1$
189439	Simplify	1/(2+ square root of 3)+1/(2- square root of 3)	$\frac{1}{2 + \sqrt{3}} + \frac{1}{2 - \sqrt{3}}$
189440	Multiply	8*3/28	$8 \cdot \frac{3}{28}$
189441	Solve for x	z+mx=yx	$z + m x = y x$
189442	Simplify	(-3b^6)^4*b	${(- 3 b^{6})}^{4} \cdot b$
189443	Simplify	cube root of square root of 729	$\sqrt[3]{\sqrt{729}}$
189444	Multiply	x^2(2x+9)	$x^{2} (2 x + 9)$
189445	Find the Holes in the Graph	y=(x^2-3x+2)/(x-2)	$y = \frac{x^{2} - 3 x + 2}{x - 2}$
189446	Evaluate	f(x)=5x^2-7(4x+3)	$f (x) = 5 x^{2} - 7 (4 x + 3)$
189447	Solve for x	2x+x/4=x+5	$2 x + \frac{x}{4} = x + 5$
189448	Simplify	(x+10y)-(x+5y)	$(x + 10 y) - (x + 5 y)$
189449	Solve for x	x^2-3x=-5/4	$x^{2} - 3 x = - \frac{5}{4}$
189450	Graph	p(x)=(x+2)(2x^2+3x-9)	$p (x) = (x + 2) (2 x^{2} + 3 x - 9)$
189451	Solve the Inequality for z	6>z(10-z)	$6 > z (10 - z)$
189452	Graph	y=(x-3)(2x+2)	$y = (x - 3) (2 x + 2)$
189453	Find the Product	(x^2)^2	${(x^{2})}^{2}$
189454	Evaluate	(-2 5/6)-(-1 1/4)	$(- 2 \frac{5}{6}) - (- 1 \frac{1}{4})$
189455	Describe the Transformation	y=-3x^2	$y = - 3 x^{2}$
189456	Divide	(4z^(a+2))÷(-8z^(a-2))	$4 z^{a + 2} \div (- 8 z^{a - 2})$
189457	Evaluate the Function	f(x)=5x^2+x at x=-4	$f (x) = 5 x^{2} + x$ at $x = - 4$
189458	Solve for R	P=IRT	$P = I R T$
189459	Solve the System of Equations	x+6y=17 x-3y=8	$x + 6 y = 17$ $x - 3 y = 8$
189460	Solve for x	x+4=(x-2)/x	$x + 4 = \frac{x - 2}{x}$
189461	Evaluate	g(r)=-1-7r	$g (r) = - 1 - 7 r$
189462	Simplify	(5/(a-3)-4)/(2+1/(a-3))	$\frac{\frac{5}{a - 3} - 4}{2 + \frac{1}{a - 3}}$
189463	Evaluate the Function	f(x) = square root of x^2-4 ; at x=-5	$f (x) = \sqrt{x^{2} - 4}$ ; at $x = - 5$
189464	Solve for t	5(5t+1)=25t-7	$5 (5 t + 1) = 25 t - 7$
189465	Find the Inverse	x^(2/3)	$x^{\frac{2}{3}}$
189466	Simplify	(csc(x)^2-1)sin(x)^2	$(\csc^{2} (x) - 1) \sin^{2} (x)$
189467	Simplify	(a-7)/3+(5a-3)/6-(2a+5)/4	$\frac{a - 7}{3} + \frac{5 a - 3}{6} - \frac{2 a + 5}{4}$
189468	Write in Standard Form	13x-36=x^2	$13 x - 36 = x^{2}$
189469	Multiply	( square root of 3)^2	${(\sqrt{3})}^{2}$
189470	Simplify	-3x^2+2y^2-7+10x^2-12y^2+15	$- 3 x^{2} + 2 y^{2} - 7 + 10 x^{2} - 12 y^{2} + 15$
189471	Solve for x	(5x)/2-4=(2x-7)/6	$\frac{5 x}{2} - 4 = \frac{2 x - 7}{6}$
189472	Multiply	1/6*-3	$\frac{1}{6} \cdot - 3$
189473	Simplify	-9/6+(-3/5)	$- \frac{9}{6} + (- \frac{3}{5})$
189474	Solve the Inequality for x	(x-4)/3<=5	$\frac{x - 4}{3} \leq 5$
189475	Graph Using a Table of Values	f(x)=(x^2-4)/(x-2)	$f (x) = \frac{x^{2} - 4}{x - 2}$
189476	Solve for t	-3(t+5)+(4t+2)=8	$- 3 (t + 5) + (4 t + 2) = 8$
189477	Evaluate	(24^2-8÷2)/((5+2)2)	$\frac{2 \cdot 4^{2} - 8 \div 2}{(5 + 2) \cdot 2}$
189478	Solve for c	(ax+2)(bx+7)=15x^2+cx+14	$(a x + 2) (b x + 7) = 15 x^{2} + c x + 14$
189479	Find the Domain and Range	f(x)=1^x	$f (x) = 1^{x}$
189480	Solve for x	(8x+9)(49x^2-100)=0	$(8 x + 9) (49 x^{2} - 100) = 0$
189481	Simplify	(x^0y^(1/3))^(3/2)x^0	${(x^{0} y^{\frac{1}{3}})}^{\frac{3}{2}} x^{0}$
189482	Graph	x-2y<=2 x+y<=0	$x - 2 y \leq 2$ $x + y \leq 0$
189483	Simplify	square root of 6*(- square root of 6)	$\sqrt{6} \cdot (- \sqrt{6})$
189484	Expand Using Pascal's Triangle	(3x+y)^11	${(3 x + y)}^{11}$
189485	Solve the System of Equations	y=5/2x-8 y=-1/2x-2	$y = \frac{5}{2} x - 8$ $y = - \frac{1}{2} x - 2$
189486	Solve for x	5/(x+1)+1/(x-3)=-6/(x^2-2x-3)	$\frac{5}{x + 1} + \frac{1}{x - 3} = \frac{- 6}{x^{2} - 2 x - 3}$
189487	Solve for w	w-6=-4w-11	$w - 6 = - 4 w - 11$
189488	Determine if Perpendicular	y=-5x+1 x-5y=30	$y = - 5 x + 1$ $x - 5 y = 30$
189489	Find All Complex Solutions	x^3-7x^2+x-7=0	$x^{3} - 7 x^{2} + x - 7 = 0$
189490	Solve the Inequality for c	35+12c>=100	$35 + 12 c \geq 100$
189491	Solve for x	cube root of 6x^2+4x-5- cube root of 5x=0	$\sqrt[3]{6 x^{2} + 4 x - 5} - \sqrt[3]{5 x} = 0$
189492	Solve the Rational Equation for x	square root of 5-4x=x	$\sqrt{5 - 4 x} = x$
189493	Simplify	2+7c-4c^2-3c+4	$2 + 7 c - 4 c^{2} - 3 c + 4$
189494	Simplify	(-y^3z^5)/(y^2z^3)	$\frac{- y^{3} z^{5}}{y^{2} z^{3}}$
189495	Solve the Inequality for x	1/2x-2<=3x-3/2	$\frac{1}{2} x - 2 \leq 3 x - \frac{3}{2}$
189496	Solve by Substitution	x+y+z=6 x-y+2z=5 x-y-3z=-10	$x + y + z = 6$ $x - y + 2 z = 5$ $x - y - 3 z = - 10$
189497	Simplify	square root of (147m^5n^7)/(441z^6)	$\sqrt{\frac{147 m^{5} n^{7}}{441 z^{6}}}$
189498	Solve for x	(x+4)^2=2x(5x-1)-7(x-2)	${(x + 4)}^{2} = 2 x (5 x - 1) - 7 (x - 2)$
189499	Solve for x	x+1/x=17/4	$x + \frac{1}{x} = \frac{17}{4}$
189500	Simplify	(3x^2+x+1)-(2x^2-3x-5)	$(3 x^{2} + x + 1) - (2 x^{2} - 3 x - 5)$