Calculate g.
254
Find g such that -15*g**2 - 3114*g + 1248 = 0.
-208, 2/5
Suppose -2*i**5/3 + 52*i**4/9 + 28*i**3/9 - 88*i**2/9 - 22*i/9 + 4 = 0. What is i?
-1, 2/3, 1, 9
Factor -j**4/2 + 21*j**3/2 - 137*j**2/2 + 279*j/2 - 81.
-(j - 9)**2*(j - 2)*(j - 1)/2
Find s such that 2*s**4 + 188*s**3 + 368*s**2 = 0.
-92, -2, 0
Let 4*p**5 + 44*p**4 + 140*p**3 + 100*p**2 = 0. Calculate p.
-5, -1, 0
Factor n**3/9 - 23*n**2/9 - 8*n/3.
n*(n - 24)*(n + 1)/9
What is n in 2*n**2 - 1372*n - 1374 = 0?
-1, 687
Determine t, given that 9*t**5 - 23*t**4/2 - 69*t**3/2 + 13*t**2/2 + 51*t/2 + 5 = 0.
-1, -2/9, 1, 5/2
Suppose -5*j**3 + 75*j**2 - 180*j = 0. What is j?
0, 3, 12
Let -4*o**3 + 80*o**2 - 316*o + 240 = 0. What is o?
1, 4, 15
Factor 3*g**5 - 18*g**4 + 42*g**3 - 48*g**2 + 27*g - 6.
3*(g - 2)*(g - 1)**4
Factor k**4 + 58*k**3 - 61*k**2 - 118*k.
k*(k - 2)*(k + 1)*(k + 59)
Find h such that 20*h**5 - 528*h**4 + 688*h**3 + 328*h**2 - 708*h + 200 = 0.
-1, 2/5, 1, 25
Factor 4*t**3 + 14*t**2 - 34*t - 20.
2*(t - 2)*(t + 5)*(2*t + 1)
Factor 2*u**2/11 - 80*u/11.
2*u*(u - 40)/11
Factor -y**5/8 - y**4/4 + y**3 + 2*y**2 - 2*y - 4.
-(y - 2)**2*(y + 2)**3/8
Factor -2*f**2/3 - 10*f - 24.
-2*(f + 3)*(f + 12)/3
Suppose 5*z**2 + 550*z + 15125 = 0. Calculate z.
-55
Solve 15*n**5 - 265*n**4 + 1230*n**3 + 440*n**2 - 7680*n - 2560 = 0 for n.
-2, -1/3, 4, 8
Factor o**2 - 3*o + 2.
(o - 2)*(o - 1)
Factor 3*o**2 - 5079*o + 5076.
3*(o - 1692)*(o - 1)
Suppose -68*i**3 - 528*i**2 - 960*i + 256 = 0. What is i?
-4, 4/17
Factor -a**3/7 - 2*a**2 + 11*a + 90/7.
-(a - 5)*(a + 1)*(a + 18)/7
Factor 2*s**3/13 - 102*s**2/13 + 1734*s/13 - 9826/13.
2*(s - 17)**3/13
Suppose -c**3 + 7*c**2 + c - 7 = 0. What is c?
-1, 1, 7
Factor -3*y**3/7 + 51*y**2/7 - 162*y/7 - 216/7.
-3*(y - 12)*(y - 6)*(y + 1)/7
Let -21*n**4 + 111*n**3 - 177*n**2 + 105*n - 18 = 0. What is n?
2/7, 1, 3
Factor b**5/4 + 9*b**4/2 - 99*b**3/4 - 405*b**2 + 2025*b.
b*(b - 6)**2*(b + 15)**2/4
Determine u, given that 3*u**3 + 60*u**2 + 348*u + 480 = 0.
-10, -8, -2
Determine y so that 2*y**4/5 - 82*y**3/5 + 798*y**2/5 + 882*y/5 = 0.
-1, 0, 21
Factor s**2/2 + 111*s/2 + 214.
(s + 4)*(s + 107)/2
Suppose f**5/5 + 6*f**4/5 - 29*f**3/5 - 18*f**2 + 136*f/5 + 192/5 = 0. Calculate f.
-8, -3, -1, 2, 4
What is f in -5*f**5 + 45*f**4 - 135*f**3 + 135*f**2 = 0?
0, 3
Find o, given that -2*o**3/3 + 8*o/3 = 0.
-2, 0, 2
Factor -y**2/8 - 41*y/8 + 651/4.
-(y - 21)*(y + 62)/8
Let h**3/4 + 137*h**2/8 + 83*h/2 + 33/2 = 0. What is h?
-66, -2, -1/2
Suppose b**4/5 + 113*b**3/5 - 116*b**2/5 - 228*b/5 = 0. What is b?
-114, -1, 0, 2
Solve -27*s**5 - 66*s**4 - 31*s**3 + 28*s**2 + 20*s = 0.
-10/9, -1, 0, 2/3
Solve -5*n**2 - 17700*n - 15664500 = 0.
-1770
Solve -2*i**4/5 + 22*i**3/5 + 6*i**2/5 - 14*i + 44/5 = 0 for i.
-2, 1, 11
Let 2*r**3 + 29*r**2/5 + 17*r/5 - 2/5 = 0. What is r?
-2, -1, 1/10
Factor j**3 + 189*j**2 + 9024*j + 8836.
(j + 1)*(j + 94)**2
Let 22*g**5 + 52*g**4 - 42*g**3 = 0. What is g?
-3, 0, 7/11
What is c in 5*c**4 - 150*c**3 - 315*c**2 - 160*c = 0?
-1, 0, 32
Determine j so that -j**5 - 3*j**4 + 7*j**3 + 15*j**2 - 18*j = 0.
-3, 0, 1, 2
Factor 2*h**2/3 - 568*h - 1706/3.
2*(h - 853)*(h + 1)/3
Factor -54*i**4/5 + 324*i**3/5 + 72*i**2 + 124*i/5 + 14/5.
-2*(i - 7)*(3*i + 1)**3/5
Factor 2*h**3/7 - 128*h**2/7 - 130*h/7.
2*h*(h - 65)*(h + 1)/7
Factor 8*p**2/15 - 2*p/15 - 8.
2*(p - 4)*(4*p + 15)/15
Solve -2*i**5/9 - 16*i**4/9 + 34*i**3/9 + 40*i**2/3 - 24*i = 0.
-9, -3, 0, 2
What is y in 5*y**2 - 1140*y + 6660 = 0?
6, 222
Solve -4*g**5 + 28*g**4 - 32*g**3 - 112*g**2 + 192*g = 0.
-2, 0, 2, 3, 4
Factor 2*q**4 - 64*q**3 + 122*q**2 - 60*q.
2*q*(q - 30)*(q - 1)**2
Factor 50*j**4/9 - 260*j**3/9 + 458*j**2/9 - 104*j/3 + 8.
2*(j - 2)**2*(5*j - 3)**2/9
Suppose 4*z**3 + 184*z**2 - 2556*z - 2736 = 0. What is z?
-57, -1, 12
What is a in -6*a**5/5 + 14*a**4/5 - 2*a**3 + 2*a**2/5 = 0?
0, 1/3, 1
Factor 2*z**3 - 414*z**2 + 22422*z - 102010.
2*(z - 101)**2*(z - 5)
Factor -i**3 + 239*i**2/6 - 1180*i/3 - 200/3.
-(i - 20)**2*(6*i + 1)/6
Factor -3*h**2/8 + 129*h/4.
-3*h*(h - 86)/8
Determine b, given that -12*b**4 + 68*b**3 - 44*b**2 - 68*b + 56 = 0.
-1, 1, 14/3
Factor 2*q**3 - 36*q**2 + 160*q - 192.
2*(q - 12)*(q - 4)*(q - 2)
Factor a**4/4 + 25*a**3/4 - 147*a**2/4 + 99*a/4 + 135/2.
(a - 3)**2*(a + 1)*(a + 30)/4
Factor 4*x**2 + 60*x + 56.
4*(x + 1)*(x + 14)
Suppose -5*u**4 + 115*u**3 - 465*u**2 - 2275*u - 1690 = 0. Calculate u.
-2, -1, 13
Suppose 18*d**2 + 614*d + 68 = 0. What is d?
-34, -1/9
What is n in -15*n**5 - 39*n**4 - 27*n**3 + 3*n**2 + 6*n = 0?
-1, 0, 2/5
Determine s, given that -3*s**2/7 + 828*s/7 - 57132/7 = 0.
138
Factor -2*w**4 + 104*w**2 + 192*w.
-2*w*(w - 8)*(w + 2)*(w + 6)
Factor -m**4/3 + 2*m**3 - 8*m**2/3 - 2*m + 3.
-(m - 3)**2*(m - 1)*(m + 1)/3
Factor -n**4/3 - 6*n**3 + 25*n**2/3 + 38*n.
-n*(n - 3)*(n + 2)*(n + 19)/3
Factor 4*j**4 - 3592*j**3 - 7196*j**2 - 3600*j.
4*j*(j - 900)*(j + 1)**2
Factor -2*y**3/17 - 4104*y**2/17 - 2807136*y/17 - 640027008/17.
-2*(y + 684)**3/17
Factor 4*m**3/9 + 704*m**2/3.
4*m**2*(m + 528)/9
Let 5*k**3 + 60*k**2 + 180*k + 160 = 0. Calculate k.
-8, -2
Find x such that -x**4/3 - 7*x**3/3 + 104*x**2/3 - 80*x = 0.
-15, 0, 4
Solve -2*z**3/13 + 256*z**2/13 + 40*z = 0 for z.
-2, 0, 130
Factor 3*r**2 - 288*r + 1869.
3*(r - 89)*(r - 7)
Determine a so that 7*a**5/6 - 11*a**4/3 + 5*a**3/3 + 10*a**2/3 - 17*a/6 + 1/3 = 0.
-1, 1/7, 1, 2
Factor -2*q**2/7 - 82*q/7 - 80/7.
-2*(q + 1)*(q + 40)/7
Find x, given that -2358*x**5 - 12219*x**4 - 18526*x**3 - 6699*x**2 - 98*x = 0.
-7/3, -1/2, -2/131, 0
Find a, given that -a**3/8 + 75*a**2/8 + 39*a/4 - 19 = 0.
-2, 1, 76
Solve 3*o**4/7 - 3*o**3 - 3*o**2 + 165*o/7 - 18 = 0 for o.
-3, 1, 2, 7
Let -k**5 + 6*k**4 = 0. What is k?
0, 6
Determine p, given that 5*p**5 - 870*p**4 + 860*p**3 + 870*p**2 - 865*p = 0.
-1, 0, 1, 173
Suppose 5*j**2/2 - 470*j = 0. What is j?
0, 188
Factor -10*b**2 + 3414*b - 1364.
-2*(b - 341)*(5*b - 2)
Let -p**4/6 + 14*p**3/3 - 181*p**2/6 - 35*p = 0. What is p?
-1, 0, 14, 15
Factor -50*x**3/7 - 1910*x**2/7 - 2238*x/7 - 666/7.
-2*(x + 37)*(5*x + 3)**2/7
Factor 5*w**2 + 335*w - 3000.
5*(w - 8)*(w + 75)
Factor 2*k**2 + 4088*k + 2088968.
2*(k + 1022)**2
Factor 5*k**5 - 5*k**4 - 15*k**3 + 5*k**2 + 10*k.
5*k*(k - 2)*(k - 1)*(k + 1)**2
Factor 2*j**2/19 + 1822*j/19.
2*j*(j + 911)/19
Solve 5*d**5/4 + 181*d**4/2 + 247*d**3/2 - 55*d**2 - 499*d/4 - 71/2 = 0 for d.
-71, -1, -2/5, 1
Factor -2*a**3/13 + 14*a**2/13 + 320*a/13 - 200.
-2*(a - 10)**2*(a + 13)/13
Factor 3*u**2 + 171*u.
3*u*(u + 57)
Suppose -2*l**5/23 - 224*l**4/23 + 916*l**3/23 - 1384*l**2/23 + 926*l/23 - 232/23 = 0. What is l?
-116, 1
Suppose -3*b**4/5 + 12*b**3/5 + 39*b**2/5 - 24*b - 144/5 = 0. What is b?
-3, -1, 4
Factor -2*f**3/7 - 1160*f**2/7 - 161024*f/7 + 2102784/7.
-2*(f - 12)*(f + 296)**2/7
Let -6*r**2/11 - 6*r/11 + 2280/11 = 0. Calculate r.
-20, 19
Factor 2*a**3 - 102*a**2 + 1350*a - 1250.
2*(a - 25)**2*(a - 1)
Let 3*r**2 + 48*r - 171 = 0. What is r?
-19, 3
Factor 13*z**3 + 89*z**2 - 118*z + 16.
(z - 1)*(z + 8)*(13*z - 2)
What is n in -2*n**5/9 - 68*n**4/9 + 8*n**3/3 + 848*n**2/9 + 1088*n/9 = 0?
-34, -2, 0, 4
Determine l so that -4*l**4/11 - 29*l**3/11 + 105*l**2/11 - 52*l/11 - 20/11 = 0.
-10, -1/4, 1, 2
Suppose -14*v**3/11 + 400*v**2/11 - 2968*v/11 + 1568/11 = 0. What is v?
4/7, 14
Factor 5*l**3 - 15*l**2 - 110*l + 120.
5*(l - 6)*(l - 1)*(l + 4)
Let -5*s**2 - 340*s - 5780 = 0. Calculate s.
-34
Solve 5*a**5 - 140*a**4 + 500*a**3 - 480*a**2 = 0.
0, 2, 24
Factor -4*l**4 - 4880*l**3 - 1987776*l**2 - 271649728*l - 535387328.
-4*(l + 2)*(l + 406)**3
Factor 2*s**4/7 - 16*s**3/7 + 24*s**2/7.
2*s**2*(s - 6)*(s - 2)/7
Factor -v**4 + 20*v**3 + 576*v**2 + 3888*v + 8208.
-(v - 38)*(v + 6)**3
Solve 5*m**3 + 55*m**2 - 230*m - 280 = 0.
-14, -1, 4
Solve -6*r**3 - 80*r**2 + 58*r + 28 = 0 for r.
-14, -1/3, 1
Determine p so that -p**2/3 + 20*p - 116/3 = 0.
2, 58
Factor -3*u**3 - 6*u**2 + 24*u.
-3*u*(u - 2)*(u + 4)
Find w such that -72*w**2/13 - 22*w/13 + 94/13 = 0.
-47/36, 1
Solve -g**3/4 + 399*g**2/2 + 1599*g/4 + 200 = 0.
-1, 800
Solve -101761*a**2 - 5104*a - 64 = 0 for a.
-8/319
Let -2*g**3/3 + 68*g**2/3 - 578*g/3 = 0. What is g?
0, 17
Let 5*v**2/4 + 1295*v/4 - 325 = 0. What is v?
-260, 1
Factor 3*f**2 + 642*f - 1953.
3*(f - 3)*(f + 217)
Determine t, given that 4