 1)
Factor -4*f**3 + 64*f**2 + 2124*f + 3960.
-4*(f - 33)*(f + 2)*(f + 15)
Let 45*f**3 + 42*f**2 - 93*f + 6 = 0. Calculate f.
-2, 1/15, 1
Determine a so that a**2/5 + 1969*a/5 = 0.
-1969, 0
Factor 5*f**2 - 395*f.
5*f*(f - 79)
Determine g so that 2*g**3 + 46*g**2 + 44*g = 0.
-22, -1, 0
Factor -5*q**2/4 - 3*q/2 - 1/4.
-(q + 1)*(5*q + 1)/4
Factor -t**3/3 - 244*t**2/3 + 2096*t - 12864.
-(t - 12)**2*(t + 268)/3
Factor 5*b**2 - 1440*b - 2900.
5*(b - 290)*(b + 2)
Factor 4*y**4 - 124*y**3 + 536*y**2 - 416*y.
4*y*(y - 26)*(y - 4)*(y - 1)
Let 8*z**4/3 + 18*z**3 + 106*z**2/3 + 14*z - 6 = 0. What is z?
-3, -1, 1/4
Let 3*x**4/7 - 87*x**3/7 + 747*x**2/7 - 1473*x/7 - 330 = 0. What is x?
-1, 5, 11, 14
Find b such that -3*b**4/4 - 45*b**3/2 - 663*b**2/4 + 90*b + 675 = 0.
-15, -2, 2
Factor l**5/7 - 37*l**4/7 + 323*l**3/7 + 361*l**2/7.
l**2*(l - 19)**2*(l + 1)/7
Solve a**4/11 - 213*a**3/11 - 648*a**2/11 - 4*a/11 + 864/11 = 0 for a.
-2, 1, 216
Factor 2*l**4 - 28*l**3 + 120*l**2 - 144*l.
2*l*(l - 6)**2*(l - 2)
What is z in z**2/4 - 9*z/2 - 90 = 0?
-12, 30
Determine q so that 5*q**2 + 2590*q + 2585 = 0.
-517, -1
Find d, given that -4*d**4/7 + 928*d**3/7 - 54744*d**2/7 + 106720*d/7 - 52900/7 = 0.
1, 115
Let -5*i**5 - 65*i**4 - 55*i**3 + 65*i**2 + 60*i = 0. Calculate i.
-12, -1, 0, 1
Determine u so that -10*u**5/9 + 148*u**4/9 - 500*u**3/9 + 104*u**2/9 + 314*u/3 + 20 = 0.
-1, -1/5, 3, 10
Solve -2*x**5 - 7*x**4 - 2*x**3 + 3*x**2 = 0.
-3, -1, 0, 1/2
Find h, given that -2*h**5/7 + 366*h**4/7 - 1086*h**3/7 + 1082*h**2/7 - 360*h/7 = 0.
0, 1, 180
Factor 3*y**4 + 39*y**3 - 630*y**2 - 12300*y - 51000.
3*(y - 17)*(y + 10)**3
Solve 5*v**5/7 + 8*v**4/7 - 7*v**3 + 8*v**2/7 + 44*v/7 - 16/7 = 0.
-4, -1, 2/5, 1, 2
Factor -n**3/4 + 65*n**2/2.
-n**2*(n - 130)/4
Determine k so that -2*k**2/15 + 14*k/15 = 0.
0, 7
Factor -p**3 - 401*p**2 - 39999*p + 40401.
-(p - 1)*(p + 201)**2
Suppose 3*x**5 - 435*x**4 + 5385*x**3 + 717015*x**2 + 11661000*x + 55786224 = 0. Calculate x.
-13, 92
Factor -4*i**3/5 - 168*i**2/5 - 756*i/5 - 592/5.
-4*(i + 1)*(i + 4)*(i + 37)/5
Find b, given that b**5/4 + 27*b**4/4 - b**3/2 - 27*b**2/2 + b/4 + 27/4 = 0.
-27, -1, 1
Factor -4*d**2/5 + 392*d/5 + 396/5.
-4*(d - 99)*(d + 1)/5
Suppose 4*b**2/7 + 312*b/7 + 6084/7 = 0. Calculate b.
-39
Let s**5 - 348*s**4 + 693*s**3 - 346*s**2 = 0. What is s?
0, 1, 346
Let 2*z**2/13 + 280*z/13 - 6400/13 = 0. What is z?
-160, 20
Let 3*c**5 + 15*c**4 + 18*c**3 - 6*c**2 - 21*c - 9 = 0. What is c?
-3, -1, 1
Find s, given that -27*s**5/2 + 369*s**4/2 + 507*s**3 - 18*s**2 - 468*s - 192 = 0.
-2, -2/3, 1, 16
Determine w so that -2*w**2 - 30*w - 100 = 0.
-10, -5
Factor 3*q**5/2 + 11*q**4/2 + 4*q**3 - 2*q**2.
q**2*(q + 2)**2*(3*q - 1)/2
Let -k**4 - 25*k**3 + 53*k**2 - 27*k = 0. What is k?
-27, 0, 1
Solve -3*k**5 - 6*k**4/5 + 36*k**3 - 168*k**2/5 - 96*k/5 = 0 for k.
-4, -2/5, 0, 2
What is u in u**4/2 - u**3/2 - 2*u**2 + 2*u = 0?
-2, 0, 1, 2
Factor 2*h**2/13 + 88*h/13 + 86/13.
2*(h + 1)*(h + 43)/13
Suppose 4*g**4/5 - 228*g**3/5 - 232*g**2/5 = 0. What is g?
-1, 0, 58
Factor -2*k**5/7 + 78*k**4/7 - 636*k**3/7 - 2396*k**2/7 - 366*k - 126.
-2*(k - 21)**2*(k + 1)**3/7
Factor -2*r**4 + 28*r**3 - 40*r**2 - 112*r + 192.
-2*(r - 12)*(r - 2)**2*(r + 2)
Find w such that -w**5 + 4*w**4/3 + 8*w**3/3 - 6*w**2 + 11*w/3 - 2/3 = 0.
-2, 1/3, 1
Suppose -5*b**3 + 540*b**2 - 15105*b + 28090 = 0. What is b?
2, 53
Factor -q**3 + 13*q**2 - 23*q + 11.
-(q - 11)*(q - 1)**2
Factor 5*s**4/2 - 299*s**3/4 + 1485*s**2/2 - 2425*s - 250.
(s - 10)**3*(10*s + 1)/4
Determine v so that -11*v**3 + 2*v**2 + 11*v - 2 = 0.
-1, 2/11, 1
What is b in b**4/2 - 35*b**3/2 - 96*b**2 - 158*b - 80 = 0?
-2, -1, 40
Solve -4*f**3 - 80*f**2 - 144*f = 0.
-18, -2, 0
Factor -2*j**3/3 + 32*j**2/3 + 512*j/3 - 8192/3.
-2*(j - 16)**2*(j + 16)/3
Solve m**4/4 + 19*m**3/4 + 47*m**2/4 - 19*m/4 - 12 = 0.
-16, -3, -1, 1
Factor -2*n**3/7 - 612*n**2/7 - 62424*n/7 - 2122416/7.
-2*(n + 102)**3/7
Determine w so that 5*w**4 - 20*w**3 - 5*w**2 + 20*w = 0.
-1, 0, 1, 4
What is l in -3*l**4/2 - 57*l**3 + 237*l**2/2 - 60*l = 0?
-40, 0, 1
Determine y, given that 2*y**3/9 + 50*y**2/9 + 238*y/9 + 190/9 = 0.
-19, -5, -1
Factor 4*w**3 - 6424*w**2 + 12836*w - 6416.
4*(w - 1604)*(w - 1)**2
Suppose s**2/3 - s/3 = 0. What is s?
0, 1
Find f such that -9*f**5 - 119*f**4 - 593*f**3 - 1341*f**2 - 1242*f - 216 = 0.
-4, -3, -2/9
Solve 2*x**2/3 - 118*x/3 = 0 for x.
0, 59
Factor 26*h**3/3 - 82*h**2/3 + 64*h/3 - 8/3.
2*(h - 2)*(h - 1)*(13*h - 2)/3
Determine w, given that -3*w**5 + 78*w**4 - 276*w**3 + 264*w**2 = 0.
0, 2, 22
Suppose -2*m**2/5 + 128*m/5 + 26 = 0. What is m?
-1, 65
Let -f**3/2 - 617*f**2/2 - 47740*f - 47432 = 0. What is f?
-308, -1
Factor 2*u**2 - 38*u - 432.
2*(u - 27)*(u + 8)
Factor -2*h**2/3 + 26488*h/3 - 87701768/3.
-2*(h - 6622)**2/3
Factor -6*i**3 + 15*i**2 - 3*i - 6.
-3*(i - 2)*(i - 1)*(2*i + 1)
Determine o so that -2*o**4/15 + 8*o**3/3 + 46*o**2/15 - 28*o/5 = 0.
-2, 0, 1, 21
Solve -27*i**4 - 318*i**3 - 495*i**2 - 144*i + 60 = 0.
-10, -1, 2/9
Determine s, given that 2*s**2/9 + 14*s/3 + 76/9 = 0.
-19, -2
Determine i so that 2*i**5 - 96*i**4 + 1144*i**3 + 384*i**2 - 4608*i = 0.
-2, 0, 2, 24
Let -2*j**5 - 26*j**4 + 58*j**3 + 466*j**2 + 664*j + 280 = 0. What is j?
-14, -2, -1, 5
Solve r**3/7 + 10*r**2/7 + 27*r/7 + 18/7 = 0 for r.
-6, -3, -1
Factor r**5/2 + 141*r**4 + 9798*r**3 - 20164*r**2.
r**2*(r - 2)*(r + 142)**2/2
Determine m, given that -2*m**5 + 50*m**4 - 332*m**3 + 192*m**2 + 576*m = 0.
-1, 0, 2, 12
Determine f, given that f**3/4 - 137*f**2/4 - 35*f + 69 = 0.
-2, 1, 138
Factor -36*u**4 - 152*u**3 - 76*u**2 + 168*u.
-4*u*(u + 2)*(u + 3)*(9*u - 7)
Factor -6*r**2 + 5986*r + 1996.
-2*(r - 998)*(3*r + 1)
Factor 3*v**5/5 - 3*v**4/5 - 6*v**3/5 + 6*v**2/5 + 3*v/5 - 3/5.
3*(v - 1)**3*(v + 1)**2/5
What is p in 3*p**5 - 12*p**3 = 0?
-2, 0, 2
Suppose -4*i**5 - 52*i**4 - 104*i**3 + 160*i**2 = 0. What is i?
-10, -4, 0, 1
Factor 3*f**3 + 2*f**2 - 27*f + 22.
(f - 2)*(f - 1)*(3*f + 11)
Suppose n**3/3 + 8*n**2 + 119*n/3 - 48 = 0. Calculate n.
-16, -9, 1
Determine s so that s**5/6 - 7*s**4 + 71*s**3/2 + 64*s**2/3 - 122*s + 72 = 0.
-2, 1, 6, 36
Solve -3*y**4/2 + 38*y**3 - 91*y**2/2 - 61*y + 24 = 0 for y.
-1, 1/3, 2, 24
What is c in 34*c**4 + 304*c**3 - 1174*c**2 + 884*c - 48 = 0?
-12, 1/17, 1, 2
What is h in -h**2/5 - 217*h/5 + 218/5 = 0?
-218, 1
Factor 2*c**2 + 2*c - 12.
2*(c - 2)*(c + 3)
What is i in 81*i**5 - 6*i**4 - 81*i**3 + 6*i**2 = 0?
-1, 0, 2/27, 1
Factor -2*o**2/7 + 122*o + 5196/7.
-2*(o - 433)*(o + 6)/7
Factor 3*h**4 - 330*h**3 + 1872*h**2 + 96*h - 9984.
3*(h - 104)*(h - 4)**2*(h + 2)
Find l such that -3*l**4/2 + 45*l**3/2 - 117*l**2 + 246*l - 180 = 0.
2, 5, 6
Solve -16*z**2 + 29028*z - 7256 = 0 for z.
1/4, 1814
Factor -2*a**2/15 - 598*a/15 + 40.
-2*(a - 1)*(a + 300)/15
Suppose -5*f**5 + 1285*f**4 - 80610*f**3 - 250900*f**2 - 169000*f = 0. Calculate f.
-2, -1, 0, 130
Factor -2*s**3 + 14*s**2 + 28*s - 96.
-2*(s - 8)*(s - 2)*(s + 3)
Find u such that 6*u**3/7 - 970*u**2/7 - 328*u/7 + 648/7 = 0.
-1, 2/3, 162
Solve -18*n**5/7 + 2022*n**4/7 + 3414*n**3/7 + 690*n**2/7 - 684*n/7 = 0.
-1, 0, 1/3, 114
Suppose -6*b**5/5 + 44*b**4/5 + 38*b**3/5 - 44*b**2/5 - 32*b/5 = 0. Calculate b.
-1, -2/3, 0, 1, 8
Factor 5*n**3/2 + 70*n**2 + 425*n/2 - 4335.
5*(n - 6)*(n + 17)**2/2
Suppose -8*y**4/3 + 38*y**3/3 + 6*y**2 - 38*y/3 - 10/3 = 0. What is y?
-1, -1/4, 1, 5
Factor 2*a**2/3 + 28*a + 294.
2*(a + 21)**2/3
Let 27*a**3/5 + 15*a**2 + 36*a/5 - 12/5 = 0. Calculate a.
-2, -1, 2/9
Factor 2*f**3 + 10*f**2 - 16*f - 96.
2*(f - 3)*(f + 4)**2
Determine a so that -a**5 - 4*a**4 + 39*a**3 - 58*a**2 - 28*a + 72 = 0.
-9, -1, 2
Factor -4*t**3 + 76*t**2 - 480*t + 1008.
-4*(t - 7)*(t - 6)**2
Factor -3*z**4 - 24*z**3 - 60*z**2 - 48*z.
-3*z*(z + 2)**2*(z + 4)
Factor -98*q**4/9 - 22064*q**3/9 - 418144*q**2/3 - 1412096*q/9 - 401408/9.
-2*(q + 112)**2*(7*q + 4)**2/9
Factor -k**3/2 - 5*k**2 - 8*k.
-k*(k + 2)*(k + 8)/2
Determine f, given that 2*f**3 + 431*f**2 + 1487*f + 636 = 0.
-212, -3, -1/2
Factor 6*a**3 - 118*a**2 + 280*a - 136.
2*(a - 17)*(a - 2)*(3*a - 2)
Factor 3*b**3/2 - 75*b**2/2 + 561*b/2 - 1089/2.
3*(b - 11)**2*(b - 3)/2
Suppose 2*y**5/7 + 2028*y**4/7 - 6*y**3/7 - 6088*y**2/7 - 4056*y/7 = 0. What is y?
-1014, -1, 0, 2
Factor 15*l**4 - 40*l**3 + 15*l**2 +