Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
123401	Find the Trig Value	sin(arctan(x))	$\sin (\arctan (x))$
123402	Find the Vertex Form	2x^2+16x+29	$2 x^{2} + 16 x + 29$
123403	Find the Slope of a Perpendicular Line	x+3y=-10	$x + 3 y = - 10$
123404	Find the Equation of the Parabola	(1,-1) , (2,-5) , (3,-7)	$(1, - 1)$ , $(2, - 5)$ , $(3, - 7)$
123405	Find the Vertex Form	m(x)=-(x-5)^2+25	$m (x) = - {(x - 5)}^{2} + 25$
123406	Find the Vertex Form	p(x)=-x^2-3x+3	$p (x) = - x^{2} - 3 x + 3$
123407	Find the Vertex Form	f(x)=3x^2+2x-2	$f (x) = 3 x^{2} + 2 x - 2$
123408	Find the Vertex Form	f(x)=4+x^2-2x	$f (x) = 4 + x^{2} - 2 x$
123409	Find the Vertex Form	f(x)=3x^2-24x+43	$f (x) = 3 x^{2} - 24 x + 43$
123410	Find the Vertex Form	f(x)=4x^2+48x+10	$f (x) = 4 x^{2} + 48 x + 10$
123411	Find the Factors Using the Factor Theorem	x^3+9x^2+14x-24 ; x+6	$x^{3} + 9 x^{2} + 14 x - 24$ ; $x + 6$
123412	Find the Degree, Leading Term, and Leading Coefficient	5y-2y^2	$5 y - 2 y^{2}$
123413	Find the Degree, Leading Term, and Leading Coefficient	1/5y^3+y^2-9	$\frac{1}{5} y^{3} + y^{2} - 9$
123414	Find the Degree, Leading Term, and Leading Coefficient	6-2x^3-4+x^3	$6 - 2 x^{3} - 4 + x^{3}$
123415	Find the Degree, Leading Term, and Leading Coefficient	4x^4+6x^3-2-x^4	$4 x^{4} + 6 x^{3} - 2 - x^{4}$
123416	Find the Degree, Leading Term, and Leading Coefficient	9z^2+4z^4-z^3+2z	$9 z^{2} + 4 z^{4} - z^{3} + 2 z$
123417	Find the Degree, Leading Term, and Leading Coefficient	p^3-4pq^2+q^2-3q	$p^{3} - 4 p q^{2} + q^{2} - 3 q$
123418	Find the Axis of Symmetry	f(x)=-(x+3)^2+16	$f (x) = - {(x + 3)}^{2} + 16$
123419	Find the Axis of Symmetry	f(x)=(x+1)^2+5	$f (x) = {(x + 1)}^{2} + 5$
123420	Find the Axis of Symmetry	f(x)=-x^2+8x-20	$f (x) = - x^{2} + 8 x - 20$
123421	Find the Axis of Symmetry	f(x)=x^2-18x	$f (x) = x^{2} - 18 x$
123422	Find the Axis of Symmetry	f(x)=-1/4(x-2)^2+2	$f (x) = - \frac{1}{4} {(x - 2)}^{2} + 2$
123423	Find the Axis of Symmetry	f(x)=2(x+9)(x+5)	$f (x) = 2 (x + 9) (x + 5)$
123424	Find the Axis of Symmetry	f(x)=3x^2-9x+2	$f (x) = 3 x^{2} - 9 x + 2$
123425	Find the End Behavior	y=4x^2+9-5x^4-x^3	$y = 4 x^{2} + 9 - 5 x^{4} - x^{3}$
123426	Find the End Behavior	y=3x^3-2	$y = 3 x^{3} - 2$
123427	Find the End Behavior	f(x)=2x^3-7x^2+6	$f (x) = 2 x^{3} - 7 x^{2} + 6$
123428	Find the End Behavior	f(x)=4x^5-7x^3-13	$f (x) = 4 x^{5} - 7 x^{3} - 13$
123429	Find the End Behavior	p(x)=-pix^6+x^5-x^4-x+7	$p (x) = - π x^{6} + x^{5} - x^{4} - x + 7$
123430	Solve the Matrix Equation	x+[[2,-8],[-4,2]]=[[4,-6],[2,-8]]	$x + [\begin{array}{c} 2 & - 8 \\ - 4 & 2 \end{array}] = [\begin{array}{c} 4 & - 6 \\ 2 & - 8 \end{array}]$
123431	Solve the Matrix Equation	[[10,5],[16,10.5]]=[[4x-6,8-10t],[4x,10.5]]	$[\begin{array}{c} 10 & 5 \\ 16 & 10.5 \end{array}] = [\begin{array}{c} 4 x - 6 & 8 - 10 t \\ 4 x & 10.5 \end{array}]$
123432	Solve the Matrix Equation	[[2,1],[5,3]][[x],[y]]=[[5],[14]]	$[\begin{array}{c} 2 & 1 \\ 5 & 3 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 5 \\ 14 \end{array}]$
123433	Find the LCM	6xy , 15x^2 , 9xy^4	$6 x y$ , $15 x^{2}$ , $9 x y^{4}$
123434	Find the LCM	x^2+7x-18 , x+9	$x^{2} + 7 x - 18$ , $x + 9$
123435	Find the LCM	15x^2 , 3(x+5)	$15 x^{2}$ , $3 (x + 5)$
123436	Find the LCM	15a^4b , 50a^2b^2 , 40b^8	$15 a^{4} b$ , $50 a^{2} b^{2}$ , $40 b^{8}$
123437	Find the LCM	x^2-100 , x-10	$x^{2} - 100$ , $x - 10$
123438	Find the LCM	20 , 35	$20$ , $35$
123439	Find the LCM	18a^3bc^2 , 24b^2c^2	$18 a^{3} b c^{2}$ , $24 b^{2} c^{2}$
123440	Find the LCM	5 , 24 , 8	$5$ , $24$ , $8$
123441	Find the LCM	3x^3 , 15xy , 75y^3	$3 x^{3}$ , $15 x y$ , $75 y^{3}$
123442	Find the LCM	2x^2 , 4x+12	$2 x^{2}$ , $4 x + 12$
123443	Find the LCM	9 , 7	$9$ , $7$
123444	Find the LCM	8x-4 , 6x^2+x-2	$8 x - 4$ , $6 x^{2} + x - 2$
123445	Find the LCM	t , t^2-1 , t^2+5t-6	$t$ , $t^{2} - 1$ , $t^{2} + 5 t - 6$
123446	Find the LCM	8 , 24 , 10	$8$ , $24$ , $10$
123447	Find the Lower or First Quartile	11 , 12 , 13 , 15 , 17 , 19 , 22 , 24 , 29 , 33 , 38	$11$ , $12$ , $13$ , $15$ , $17$ , $19$ , $22$ , $24$ , $29$ , $33$ , $38$
123448	Write the Fraction in Simplest Form	(10 root of 4)/( fifth root of 4)	$\frac{\sqrt[10]{4}}{\sqrt[5]{4}}$
123449	Write the Fraction in Simplest Form	((4^3)/(5^-2))^5	${(\frac{4^{3}}{5^{- 2}})}^{5}$
123450	Convert to a Mixed Number	7.004	$7.004$
123451	Convert to a Mixed Number	188/60	$\frac{188}{60}$
123452	Convert to a Mixed Number	9.006	$9.006$
123453	Expand the Trigonometric Expression	(3a-2b^3)^2	${(3 a - 2 b^{3})}^{2}$
123454	Find the Midpoint	(-1,-9) , (5,9)	$(- 1, - 9) (5, 9)$
123455	Expand the Trigonometric Expression	(x+h)^5	${(x + h)}^{5}$
123456	Expand the Trigonometric Expression	(-5x-1)^2	${(- 5 x - 1)}^{2}$
123457	Write with Rational (Fractional) Exponents	n root of x^(2n+1)	$\sqrt[n]{x^{2 n + 1}}$
123458	Write with Rational (Fractional) Exponents	n root of x^(3n+1)	$\sqrt[n]{x^{3 n + 1}}$
123459	Write with Rational (Fractional) Exponents	square root of x^3y	$\sqrt{x^{3} y}$
123460	Write with Rational (Fractional) Exponents	tan(arcsin(u))	$\tan (\arcsin (u))$
123461	Write with Rational (Fractional) Exponents	( square root of 3x)^3	${(\sqrt{3 x})}^{3}$
123462	Write with Rational (Fractional) Exponents	1/(( square root of 3m)^3)	$\frac{1}{{(\sqrt{3 m})}^{3}}$
123463	Write with Rational (Fractional) Exponents	1/(( square root of 3x)^5)	$\frac{1}{{(\sqrt{3 x})}^{5}}$
123464	Write with Rational (Fractional) Exponents	fourth root of (5xy)^3	$\sqrt[4]{{(5 x y)}^{3}}$
123465	Rationalize the Denominator	( square root of 3- square root of 6)/( square root of 3+ square root of 6)	$\frac{(\sqrt{3} - \sqrt{6})}{(\sqrt{3} + \sqrt{6})}$
123466	Rationalize the Denominator	(5 square root of 5)/( square root of 3)	$\frac{5 \sqrt{5}}{\sqrt{3}}$
123467	Rationalize the Denominator	( cube root of 5y^4)/( cube root of 15x^4)	$\frac{\sqrt[3]{5 y^{4}}}{\sqrt[3]{15 x^{4}}}$
123468	Rationalize the Denominator	6/(7- square root of 5)	$\frac{6}{7 - \sqrt{5}}$
123469	Rationalize the Denominator	6/(7- square root of 6)	$\frac{6}{7 - \sqrt{6}}$
123470	Rationalize the Denominator	7/(3+ square root of 11)	$\frac{7}{3 + \sqrt{11}}$
123471	Rationalize the Denominator	8/(8+ square root of x)	$\frac{8}{8 + \sqrt{x}}$
123472	Rationalize the Denominator	8/(2- square root of 12)	$\frac{8}{2 - \sqrt{12}}$
123473	Rationalize the Denominator	( square root of 5)/( square root of 15x)	$\frac{\sqrt{5}}{\sqrt{15 x}}$
123474	Rationalize the Denominator	(1-2 square root of 10)/(4+ square root of 10)	$\frac{1 - 2 \sqrt{10}}{4 + \sqrt{10}}$
123475	Rationalize the Denominator	fourth root of 256/(9x)	$\sqrt[4]{\frac{256}{9 x}}$
123476	Rationalize the Denominator	18/( square root of 27)	$\frac{18}{\sqrt{27}}$
123477	Rationalize the Denominator	2/(1+ square root of 10)	$\frac{2}{1 + \sqrt{10}}$
123478	Rationalize the Denominator	(2 square root of 5+5 square root of 3)/(4 square root of 5-3 square root of 3)	$\frac{2 \sqrt{5} + 5 \sqrt{3}}{4 \sqrt{5} - 3 \sqrt{3}}$
123479	Rationalize the Denominator	27/( square root of 3)	$\frac{27}{\sqrt{3}}$
123480	Rationalize the Denominator	3/(7- square root of 3)	$\frac{3}{7 - \sqrt{3}}$
123481	Rationalize the Denominator	3/(4- square root of 5)	$\frac{3}{4 - \sqrt{5}}$
123482	Rationalize the Denominator	(1- square root of 5)/(2+ square root of 5)	$\frac{1 - \sqrt{5}}{2 + \sqrt{5}}$
123483	Find the Symmetry	2/x=y	$\frac{2}{x} = y$
123484	Find the Symmetry	x=y^4-y^2-1	$x = y^{4} - y^{2} - 1$
123485	Find the Symmetry	x^2-y-8=0	$x^{2} - y - 8 = 0$
123486	Find the Symmetry	x^2-y-10=0	$x^{2} - y - 10 = 0$
123487	Find the Symmetry	x-y^2=-10	$x - y^{2} = - 10$
123488	Describe the Transformation	h(x)=\|x-4\|-2	$h (x) = \| x - 4 \| - 2$
123489	Describe the Transformation	f(x)=1/(x+3)-7	$f (x) = \frac{1}{x + 3} - 7$
123490	Describe the Transformation	h(x)=-3x+3	$h (x) = - 3 x + 3$
123491	Describe the Transformation	y=3^(x-4)	$y = 3^{x - 4}$
123492	Write as a Set of Linear Factors	36x^4-156x^3+229x^2-64x+5	$36 x^{4} - 156 x^{3} + 229 x^{2} - 64 x + 5$
123493	Find the Discriminant	4x^2-2x+8=0	$4 x^{2} - 2 x + 8 = 0$
123494	Find the Discriminant	4s^2+8s+4=0	$4 s^{2} + 8 s + 4 = 0$
123495	Find the Discriminant	5x^2-3x+8=0	$5 x^{2} - 3 x + 8 = 0$
123496	Find the Discriminant	5x^2-4x+7=0	$5 x^{2} - 4 x + 7 = 0$
123497	Find the Discriminant	2x^2-5x=-8	$2 x^{2} - 5 x = - 8$
123498	Find the Discriminant	2x^2-4x+8=0	$2 x^{2} - 4 x + 8 = 0$
123499	Find the Discriminant	2x^2-6x+8=0	$2 x^{2} - 6 x + 8 = 0$
123500	Find the Discriminant	-2x^2+7x=6	$- 2 x^{2} + 7 x = 6$