5 + 69*g**4 + 6*g**3 = 0. What is g?
-1, -2/21, 0
Find s such that s**3/2 - 8*s**2 + 53*s/2 + 35 = 0.
-1, 7, 10
Suppose -5*m**5 - 30*m**4 - 65*m**3 - 60*m**2 - 20*m = 0. What is m?
-2, -1, 0
Factor h**3/6 - 8*h**2/3 - 11*h/6 + 121.
(h - 11)**2*(h + 6)/6
Factor 2*i**3/7 + 44*i**2/7 + 38*i/7 - 12.
2*(i - 1)*(i + 2)*(i + 21)/7
Factor -26*x**2/3 + 10*x - 4/3.
-2*(x - 1)*(13*x - 2)/3
Factor -2*o**3/9 - 718*o**2/9 - 7120*o + 7200.
-2*(o - 1)*(o + 180)**2/9
Factor -5*f**4 + 75*f**3 + 105*f**2 - 415*f + 240.
-5*(f - 16)*(f - 1)**2*(f + 3)
Factor -4*w**4/5 + 17*w**3/5 + 3*w**2.
-w**2*(w - 5)*(4*w + 3)/5
What is o in -o**3 + 7*o**2 = 0?
0, 7
Factor -3*o**2 - 150*o - 147.
-3*(o + 1)*(o + 49)
Factor 5*o**3 - 10*o**2.
5*o**2*(o - 2)
Let 3868*t**4/7 + 4839*t**3/7 - 1929*t**2/7 - 2903*t/7 - 3/7 = 0. Calculate t.
-1, -1/967, 3/4
Factor -5*f**5 + 110*f**4 - 200*f**3 - 4240*f**2 - 10640*f - 7840.
-5*(f - 14)**2*(f + 2)**3
Factor 3*m**5/4 - 15*m**4/4 + 21*m**3/4 - 9*m**2/4.
3*m**2*(m - 3)*(m - 1)**2/4
Factor -2*f**3/15 - 34*f**2/15 - 28*f/5.
-2*f*(f + 3)*(f + 14)/15
Factor d**4/4 - d**3/2 - 19*d**2/4 - 7*d - 3.
(d - 6)*(d + 1)**2*(d + 2)/4
Factor 4*r**2 - 5104*r + 1628176.
4*(r - 638)**2
Factor 3*f**3 - 63*f**2.
3*f**2*(f - 21)
Let o**2 - 2772*o - 2773 = 0. What is o?
-1, 2773
Factor 3*i**5/5 + 6*i**4/5 - 6*i**2/5 - 3*i/5.
3*i*(i - 1)*(i + 1)**3/5
Solve -d**2/7 - 5*d/7 = 0.
-5, 0
Factor -w**2 - 22*w - 121.
-(w + 11)**2
Suppose -2*u**2/9 - 50*u/3 - 168 = 0. What is u?
-63, -12
Factor -5*x**2 - 490*x + 1000.
-5*(x - 2)*(x + 100)
Find j, given that j**3/2 + 8*j**2 + 29*j/2 + 7 = 0.
-14, -1
Solve v**5/5 - v**3 + 4*v/5 = 0.
-2, -1, 0, 1, 2
Factor b**2/2 - 113*b.
b*(b - 226)/2
Determine v so that -2*v**5/7 - 34*v**4/7 - 170*v**3/7 - 326*v**2/7 - 268*v/7 - 80/7 = 0.
-10, -4, -1
Factor g**2/2 + 154*g + 307/2.
(g + 1)*(g + 307)/2
Determine z so that z**3/3 + 4*z**2 + 23*z/3 - 12 = 0.
-9, -4, 1
Factor 2*h**3/7 + 334*h**2/7 + 332*h/7.
2*h*(h + 1)*(h + 166)/7
Solve -5*n**2 + 1690*n - 8325 = 0 for n.
5, 333
Let -9*x**5 + 264*x**4 + 192*x**3 - 354*x**2 - 183*x + 90 = 0. Calculate x.
-1, 1/3, 1, 30
Factor 2*w**3 + 4*w**2.
2*w**2*(w + 2)
Factor 3*a**4 + 12*a**3 + 6*a**2 - 12*a - 9.
3*(a - 1)*(a + 1)**2*(a + 3)
Factor -3*m**3/2 - 113*m**2/2 - 142*m - 70.
-(m + 2)*(m + 35)*(3*m + 2)/2
Factor 5*i**3 - 15*i**2 + 15*i - 5.
5*(i - 1)**3
Suppose -p**3/8 + 81*p**2/8 - 2187*p/8 + 19683/8 = 0. Calculate p.
27
Factor -i**3/5 + 152*i**2/5 + 188*i + 1264/5.
-(i - 158)*(i + 2)*(i + 4)/5
Factor j**3/5 - 21*j**2/5 + 104*j/5 - 84/5.
(j - 14)*(j - 6)*(j - 1)/5
What is r in r**5/2 - 5*r**4/2 + 10*r**2 - 8*r = 0?
-2, 0, 1, 2, 4
Let u**3/3 - 103*u**2/3 - 215*u - 327 = 0. Calculate u.
-3, 109
Solve -3*n**5/5 - 78*n**4/5 + 3*n**3/5 + 78*n**2/5 = 0 for n.
-26, -1, 0, 1
Determine o so that 20*o**5 - 948*o**4 + 1196*o**3 + 4212*o**2 + 944*o - 1104 = 0.
-1, 2/5, 3, 46
Factor d**2/7 - 88*d/7 - 89/7.
(d - 89)*(d + 1)/7
Let -5*n**4/3 - 25*n**3/3 + 40*n**2 - 20*n/3 - 160/3 = 0. What is n?
-8, -1, 2
Solve -3*w**5/8 - 39*w**4/8 + 3*w**3/4 + 39*w**2/4 - 3*w/8 - 39/8 = 0.
-13, -1, 1
What is r in -5*r**4 - 35*r**3 + 35*r**2 + 275*r + 210 = 0?
-7, -2, -1, 3
What is y in 2*y**5/7 - 10*y**4/7 + 2*y**3 + 2*y**2/7 - 16*y/7 + 8/7 = 0?
-1, 1, 2
Factor -k**2/6 - 47*k/6.
-k*(k + 47)/6
Factor -m**4/4 - 13*m**3/4 - 31*m**2/2 - 32*m - 24.
-(m + 2)*(m + 3)*(m + 4)**2/4
Find a such that -2*a**3/7 + 148*a**2/7 - 290*a/7 + 144/7 = 0.
1, 72
Determine g, given that 4*g**2 + 336*g - 340 = 0.
-85, 1
Factor x**3 - 2*x**2.
x**2*(x - 2)
Factor q**4/4 + 3*q**3/4 - 3*q**2/4 - 7*q/4 + 3/2.
(q - 1)**2*(q + 2)*(q + 3)/4
Find h such that 14*h**3 + 64*h**2 + 32*h = 0.
-4, -4/7, 0
Solve 3*v**4 + 174*v**3 + 336*v**2 = 0.
-56, -2, 0
Factor 2*i**4 - 6068*i**3 + 4602578*i**2.
2*i**2*(i - 1517)**2
Find o, given that -8*o**3/5 - 136*o**2/5 - 26*o - 32/5 = 0.
-16, -1/2
Factor k**4 - 70*k**3 + 1357*k**2 - 4620*k + 4356.
(k - 33)**2*(k - 2)**2
Factor -16*j**4 + 148*j**3 - 280*j**2 - 300*j.
-4*j*(j - 5)**2*(4*j + 3)
Suppose 2*s**5/3 - 28*s**4/3 + 70*s**3/3 - 44*s**2/3 = 0. What is s?
0, 1, 2, 11
Find l, given that -3*l**4 - 69*l**3 - 123*l**2 + 69*l + 126 = 0.
-21, -2, -1, 1
Suppose g**5 + 2*g**4/3 - 4*g**3/3 - 2*g**2/3 + g/3 = 0. Calculate g.
-1, 0, 1/3, 1
Factor 184*k**2/15 - 146*k/3 - 8/5.
2*(k - 4)*(92*k + 3)/15
Suppose -2*f**3/11 - 8*f**2 - 1050*f/11 - 1764/11 = 0. Calculate f.
-21, -2
Solve -z**2 + 16 = 0.
-4, 4
Suppose -s**4/2 - 8*s**3 + 57*s**2/2 - 2*s - 38 = 0. Calculate s.
-19, -1, 2
What is n in -6*n**3/5 + 27*n**2 - 723*n/5 - 396/5 = 0?
-1/2, 11, 12
Factor 3*o**4 - 462*o**3 - 2844*o**2 - 5736*o - 3840.
3*(o - 160)*(o + 2)**3
Let 2*h**3/7 - 8*h/7 = 0. What is h?
-2, 0, 2
Factor -5*f**3 - 115*f**2 + 825*f - 1305.
-5*(f - 3)**2*(f + 29)
Factor -2*m**2/11 + 24*m/11 - 40/11.
-2*(m - 10)*(m - 2)/11
Factor -4*p**2 + 1716*p.
-4*p*(p - 429)
Factor 4*k**4 + 112*k**3 + 564*k**2 - 1480*k + 800.
4*(k - 1)**2*(k + 10)*(k + 20)
Factor 2*z**2 - 18*z - 20.
2*(z - 10)*(z + 1)
Determine r so that -3*r**3/4 - 3*r**2/2 + 3*r + 6 = 0.
-2, 2
Find c such that -3*c**4/7 + 18*c**3/7 + 279*c**2/7 + 762*c/7 + 72 = 0.
-4, -3, -1, 14
Factor -4*v**4/5 - 4*v**3 - 28*v**2/5 - 12*v/5.
-4*v*(v + 1)**2*(v + 3)/5
What is w in -3*w**3/8 + 9*w/8 + 3/4 = 0?
-1, 2
Factor 4*x**2/21 - 2218*x/21 + 1108/21.
2*(x - 554)*(2*x - 1)/21
Factor -2*c**3/7 - 180*c**2/7 - 5400*c/7 - 54000/7.
-2*(c + 30)**3/7
Factor 4*w**4/9 - 116*w**3/9 + 80*w**2 + 576*w - 5376.
4*(w - 12)**3*(w + 7)/9
Factor n**3 - 39*n**2 + 38*n.
n*(n - 38)*(n - 1)
Factor l**3/9 + 115*l**2/9 + 554*l/9 + 440/9.
(l + 1)*(l + 4)*(l + 110)/9
Suppose c**2/10 + 8*c/5 - 18/5 = 0. Calculate c.
-18, 2
Find y such that 2*y**4/7 - 18*y**3/7 - 52*y**2/7 + 72*y/7 + 176/7 = 0.
-2, 2, 11
Factor -14*n**5 + 137*n**4 - 306*n**3 + 236*n**2 - 32*n - 21.
-(n - 7)*(n - 1)**3*(14*n + 3)
Factor -4*y**3 + 512*y**2 + 1040*y.
-4*y*(y - 130)*(y + 2)
Factor 3*p**2 + 36*p + 60.
3*(p + 2)*(p + 10)
Suppose -2*j**2/7 - 24*j = 0. What is j?
-84, 0
Determine x, given that 5*x**4/6 - 175*x**3/3 - 370*x**2 - 2260*x/3 - 1520/3 = 0.
-2, 76
Determine y, given that y**5/7 - y**4/7 - 75*y**3/7 - 25*y**2 + 250*y/7 = 0.
-5, 0, 1, 10
Factor 25*i**4 + 20*i**3 - 55*i**2 + 10*i.
5*i*(i - 1)*(i + 2)*(5*i - 1)
Factor i**3 - 2*i**2 - 7*i - 4.
(i - 4)*(i + 1)**2
Determine c, given that -c**4/3 + 4*c**3/3 - 16*c/3 + 16/3 = 0.
-2, 2
Find f such that 3*f**4/8 + 15*f**3/4 + 81*f**2/8 + 27*f/4 = 0.
-6, -3, -1, 0
Let f**2 - 3*f - 4 = 0. Calculate f.
-1, 4
Suppose -20*s**5/7 + 37*s**4/7 + 4*s**3 - 41*s**2/7 - 8*s/7 + 4/7 = 0. What is s?
-1, -2/5, 1/4, 1, 2
Suppose -2*k**2 + 40*k - 38 = 0. What is k?
1, 19
What is k in k**3/4 - 305*k**2/4 - k/4 + 305/4 = 0?
-1, 1, 305
Suppose 2*k**2/7 + 148*k/7 - 150/7 = 0. Calculate k.
-75, 1
Find n, given that -4*n**2 + 156*n + 160 = 0.
-1, 40
Determine l, given that -4160*l**3 + 2000*l**2 - 220*l - 5 = 0.
-1/52, 1/4
Factor -4*g**5/5 + 12*g**4 + 64*g**3/5.
-4*g**3*(g - 16)*(g + 1)/5
Find y, given that -4802*y**2 + 196*y - 2 = 0.
1/49
Determine h, given that 3*h**5 - 20*h**4 + 17*h**3 + 56*h**2 + 16*h = 0.
-1, -1/3, 0, 4
Determine b, given that -2*b**4/7 + 86*b**3/7 - 124*b**2 - 1496*b/7 + 5808/7 = 0.
-3, 2, 22
Suppose 4*f**4 + 4*f**3 - 192*f**2 - 704*f - 512 = 0. What is f?
-4, -1, 8
Find s, given that 14*s**2/3 + 226*s/3 + 32/3 = 0.
-16, -1/7
Factor -3*o**2 + 444*o.
-3*o*(o - 148)
Solve -12*y**2 + 5440*y + 3632 = 0 for y.
-2/3, 454
Factor 5*u**5 + 475*u**4 - 965*u**3 + 485*u**2.
5*u**2*(u - 1)**2*(u + 97)
What is x in -3*x**4/5 + 39*x**3/5 + 9*x**2/5 - 123*x/5 + 78/5 = 0?
-2, 1, 13
Factor 4*v**2/3 - 40*v/3 + 32.
4*(v - 6)*(v - 4)/3
Solve 4*k**4 - 48*k**3 - 192*k**2 + 1216*k - 1344 = 0 for k.
-6, 2, 14
Factor 2*m**5 + 84*m**4 + 810*m**3.
2*m**3*(m + 15)*(m + 27)
Factor -4*h**4/3 + 11*h**3/3 - 7*h**2/3.
-h**2*(h - 1)*(4*h - 7)/3
Let b**5/3 - 5*b**4/3 + 4*b**3/3 = 0. Calculate b.
0, 1, 4
Determine j so that -2*j**5/7 + 6*j**4/7 + 4*j**3/7 - 24*j**2/7 + 16*j/7 = 0.
-2, 0, 1, 2
Factor 3*x**3/4 - 24*x**2 - 105*x/4 + 99/2.
3*(x - 33)*(x - 1)*(x + 2)/4
Let 3*r**3/4 + 33*r**2/4 + 105*r/4 + 75/4 = 0. Calculate r.
-5, -1
Factor n**5/8 + n**4/2 + n**3/2 - n**2/4 - 5*n/8 - 1/4.
(n - 1)*(n + 1)**3*(n + 2)/8
Factor -4*h**4 + 12*h**2 - 8*h.
-4*h*(h - 1)**2*(h