 1, 2
Let -3*c**3 - 1260*c**2 + 2529*c - 1266 = 0. What is c?
-422, 1
Suppose -2*z**3/9 + 394*z**2/9 - 2134*z - 2178 = 0. What is z?
-1, 99
Suppose -192*u**4 + 20112*u**3 - 545643*u**2 + 954342*u + 1520289 = 0. What is u?
-1, 3, 411/8
Suppose -15*c**4 - 46*c**3 + 189*c**2 + 232*c + 60 = 0. What is c?
-5, -2/3, -2/5, 3
Factor q**5/5 - 2*q**4 + 34*q**3/5 - 52*q**2/5 + 37*q/5 - 2.
(q - 5)*(q - 2)*(q - 1)**3/5
Factor 5*m**4/2 + 191*m**3 - 233*m**2/2 - 77*m.
m*(m - 1)*(m + 77)*(5*m + 2)/2
Factor -g**3 + 40*g**2 - 68*g - 304.
-(g - 38)*(g - 4)*(g + 2)
Factor 3*a**2 + 51*a.
3*a*(a + 17)
Suppose b**2 + 19*b + 84 = 0. What is b?
-12, -7
Factor -i**2 - 444*i - 49284.
-(i + 222)**2
Solve -3*i**2 - 119*i - 78 = 0.
-39, -2/3
Factor 16*u**2 + 364*u + 348.
4*(u + 1)*(4*u + 87)
Solve f**5/6 - 7*f**4/3 - 71*f**3/6 + 832*f**2/3 - 2990*f/3 + 2200/3 = 0 for f.
-11, 1, 4, 10
Determine w so that w**4/5 - 28*w**3/5 - 271*w**2/5 - 602*w/5 - 72 = 0.
-5, -2, -1, 36
Let -a**4/4 + 19*a**3/4 - 57*a**2/2 + 56*a - 32 = 0. What is a?
1, 2, 8
Determine v, given that 3*v**4/4 + 3*v**3 + 15*v**2/4 + 3*v/2 = 0.
-2, -1, 0
Factor -4*m**5 - 1172*m**4 - 2328*m**3.
-4*m**3*(m + 2)*(m + 291)
Factor -2*y**3 + 3560*y**2 + 7126*y + 3564.
-2*(y - 1782)*(y + 1)**2
Let -3*d**3/5 - 54*d**2 = 0. Calculate d.
-90, 0
Factor 3*a**4 + 42*a**3 + 180*a**2 + 312*a + 192.
3*(a + 2)**3*(a + 8)
Factor f**3/5 + 51*f**2/5 - 532*f/5 + 96.
(f - 8)*(f - 1)*(f + 60)/5
Factor v**4 + 216*v**3 + 11220*v**2 - 48400*v.
v*(v - 4)*(v + 110)**2
Factor 2*c**4/7 + 34*c**3/7 + 186*c**2/7 + 50*c + 28.
2*(c + 1)*(c + 2)*(c + 7)**2/7
Suppose -2*z**3 - 22*z**2/7 - 8*z/7 = 0. What is z?
-1, -4/7, 0
Suppose d**4 - 17*d**3 + 15*d**2 + 17*d - 16 = 0. Calculate d.
-1, 1, 16
Factor 3*v**2 - 42*v + 135.
3*(v - 9)*(v - 5)
Find u, given that -2*u**2/7 + 26*u + 184/7 = 0.
-1, 92
Factor -4*m**3 - 48*m**2 + 4*m + 48.
-4*(m - 1)*(m + 1)*(m + 12)
Suppose -5*d**3 + 65*d**2 - 115*d + 55 = 0. Calculate d.
1, 11
Factor b**4/2 + 5*b**3/2 + 9*b**2/2 + 7*b/2 + 1.
(b + 1)**3*(b + 2)/2
Find x such that x**2 + 31*x - 572 = 0.
-44, 13
Find f such that 3*f**5/4 + 51*f**4/4 - 111*f**3/4 + 57*f**2/4 = 0.
-19, 0, 1
Let x**2 + 403*x - 404 = 0. What is x?
-404, 1
Determine i so that -2*i**3/3 + 42*i**2/5 + 64*i/5 + 56/15 = 0.
-1, -2/5, 14
Factor -2*w**4 - 6*w**3 + 2*w**2 + 6*w.
-2*w*(w - 1)*(w + 1)*(w + 3)
Solve -6*i**5 - 256*i**4 - 1954*i**3 + 16808*i**2 - 19200*i + 4608 = 0.
-24, 1/3, 1, 4
Factor 216*d**4 + 540*d**3 + 450*d**2 + 125*d.
d*(6*d + 5)**3
Factor -3*t**4 + 123*t**3 - 744*t**2 + 1020*t.
-3*t*(t - 34)*(t - 5)*(t - 2)
Suppose 3*t**2 - 30*t + 48 = 0. Calculate t.
2, 8
Factor -f**3 + 86*f**2 - 1665*f - 8100.
-(f - 45)**2*(f + 4)
Factor l**4 + 187*l**3 + 736*l**2 + 732*l.
l*(l + 2)**2*(l + 183)
Factor 4*l**3 - 672*l**2 - 2052*l.
4*l*(l - 171)*(l + 3)
What is b in -4*b**4 + 22*b**3 - 38*b**2 + 26*b - 6 = 0?
1/2, 1, 3
Determine p, given that -20*p**3/9 + 8*p**2/9 + 52*p/3 = 0.
-13/5, 0, 3
Solve -2*i**5 + 26*i**3 + 24*i**2 = 0 for i.
-3, -1, 0, 4
Find p, given that 3*p**4 + 12*p**3 - 30*p**2 - 84*p - 45 = 0.
-5, -1, 3
Factor 5*r**4 - 35*r**3 - 140*r**2 + 800*r.
5*r*(r - 8)*(r - 4)*(r + 5)
Solve -5*s**4 - 45*s**3 + 105*s**2 - 55*s = 0 for s.
-11, 0, 1
Solve -6*v**4/5 - 6*v**3/5 + 708*v**2/5 + 4416*v/5 + 7488/5 = 0.
-6, -4, 13
Factor 7*k**2 - 24565*k + 7018.
(k - 3509)*(7*k - 2)
Factor j**4/5 + 417*j**3/5 + 8736*j**2 + 43264*j/5.
j*(j + 1)*(j + 208)**2/5
Factor 5*f**2/4 - 3180*f + 2022480.
5*(f - 1272)**2/4
Let -z**5/5 - 13*z**4/5 + 87*z**3/5 + 1309*z**2/5 + 242*z = 0. Calculate z.
-11, -1, 0, 10
Suppose a**5/4 + 9*a**4/4 + 5*a**3 - 5*a**2 - 24*a - 16 = 0. What is a?
-4, -2, -1, 2
Solve 6*b**3/11 + 114*b**2/11 - 12*b - 240/11 = 0 for b.
-20, -1, 2
Factor 2*b**3 + 94*b**2 - 100*b - 192.
2*(b - 2)*(b + 1)*(b + 48)
Factor 2*r**4/9 + 2*r**3/9 - 44*r**2/9 - 80*r/9.
2*r*(r - 5)*(r + 2)*(r + 4)/9
Factor 6*g**4/5 - 204*g**3/5 - 1206*g**2/5 + 1404*g/5.
6*g*(g - 39)*(g - 1)*(g + 6)/5
What is q in -q**5/7 - 4*q**4/7 + 2*q**2 + 17*q/7 + 6/7 = 0?
-3, -1, 2
Solve 14*v**2 - 466*v/3 + 44/3 = 0 for v.
2/21, 11
Factor j**3/3 + 7*j**2/3 + 11*j/3 + 5/3.
(j + 1)**2*(j + 5)/3
Factor 5*r**5/2 - 25*r**4/2 + 15*r**3/2 + 45*r**2/2.
5*r**2*(r - 3)**2*(r + 1)/2
Find l, given that -4*l**3/5 - 28*l**2/5 + 64*l/5 + 448/5 = 0.
-7, -4, 4
Factor 4*h**4 + 44*h**3 + 96*h**2 - 16*h - 128.
4*(h - 1)*(h + 2)**2*(h + 8)
Determine q, given that q**3 + 11*q**2 + 19*q + 9 = 0.
-9, -1
Factor 5*n**5 - 10*n**4 - 10*n**3 + 40*n**2 - 35*n + 10.
5*(n - 1)**4*(n + 2)
Factor -a**2/3 + 7*a - 38/3.
-(a - 19)*(a - 2)/3
Factor 4*h**4 - 24*h**3 - 428*h**2 - 480*h + 2800.
4*(h - 14)*(h - 2)*(h + 5)**2
Let -25*f**4/4 + 85*f**3/4 + 35*f**2/2 - 10*f = 0. What is f?
-1, 0, 2/5, 4
Suppose x**4 + 11*x**3 + 27*x**2 + 25*x + 8 = 0. What is x?
-8, -1
Suppose -3*z**3/5 - 12*z**2 + 276*z/5 - 288/5 = 0. What is z?
-24, 2
Factor r**5/3 - 8*r**4/3 + 2*r**3 + 8*r**2/3 - 7*r/3.
r*(r - 7)*(r - 1)**2*(r + 1)/3
Solve h**2 + 109*h - 570 = 0 for h.
-114, 5
Solve -3*t**4 + 27*t**3 - 63*t**2 + 57*t - 18 = 0 for t.
1, 6
Factor -2*j**2/19 - 100*j/19 + 672/19.
-2*(j - 6)*(j + 56)/19
Let -w**5/3 + 64*w**4/3 - 1174*w**3/3 + 4184*w**2/3 + 12151*w/3 + 6728/3 = 0. What is w?
-1, 8, 29
Factor 2*l**4/7 - 2*l**3 + 36*l**2/7 - 40*l/7 + 16/7.
2*(l - 2)**3*(l - 1)/7
Let 5*x**4 - 580*x**3 + 18980*x**2 - 125280*x + 233280 = 0. Calculate x.
4, 54
Factor -b**2/9 - 23*b/9 - 44/3.
-(b + 11)*(b + 12)/9
Solve 2*q**4/5 + 1132*q**3/5 + 162424*q**2/5 + 127012*q + 473766/5 = 0.
-281, -3, -1
Determine l, given that 38*l**5/9 + 140*l**4/9 + 22*l**3/3 - 188*l**2/9 - 104*l/9 + 16/3 = 0.
-2, -1, 6/19, 1
Factor -2*z**2/5 + 42*z + 212/5.
-2*(z - 106)*(z + 1)/5
Find y, given that -36*y**4/5 - 3572*y**3/5 - 792*y**2/5 = 0.
-99, -2/9, 0
Find u such that -u**3/4 + u**2 - u = 0.
0, 2
Factor -i**3/6 + 45*i**2/2 + 116*i + 280/3.
-(i - 140)*(i + 1)*(i + 4)/6
Factor 2*z**2 - 108*z - 342.
2*(z - 57)*(z + 3)
Find q such that 2*q**5/13 - 12*q**4 + 746*q**3/13 - 1176*q**2/13 + 584*q/13 = 0.
0, 1, 2, 73
Factor 2*h**2 + 4752*h + 2822688.
2*(h + 1188)**2
Determine j so that j**4 - 4*j**3 + 3*j**2 = 0.
0, 1, 3
Let 2*f**3 + 432*f**2 + 858*f + 428 = 0. Calculate f.
-214, -1
What is v in 3*v**3/4 + 33*v**2/4 + 21*v = 0?
-7, -4, 0
Let -r**4/9 - 46*r**3/9 - 28*r**2 - 488*r/9 - 320/9 = 0. Calculate r.
-40, -2
Determine g so that -3*g**4 - 18*g**3 - 36*g**2 - 24*g = 0.
-2, 0
Factor -4*l**3 - 880*l**2 + 4*l + 880.
-4*(l - 1)*(l + 1)*(l + 220)
Factor 4*q**3 + 52*q**2 + 176*q + 128.
4*(q + 1)*(q + 4)*(q + 8)
Factor -5*x**2 + 155*x + 510.
-5*(x - 34)*(x + 3)
Factor 2*q**2/11 + 174*q/11 + 3772/11.
2*(q + 41)*(q + 46)/11
Factor -2*n**3/3 + 4*n**2 + 6*n - 36.
-2*(n - 6)*(n - 3)*(n + 3)/3
Factor -3*f**3 - 12*f**2 - 15*f - 6.
-3*(f + 1)**2*(f + 2)
Factor -5*a**3 - 40*a**2 + 45*a.
-5*a*(a - 1)*(a + 9)
Determine z so that -4*z**4 + 32*z**3 + 124*z**2 + 88*z = 0.
-2, -1, 0, 11
Let -5*v**4 + 1020*v**3 + 3090*v**2 + 3100*v + 1035 = 0. What is v?
-1, 207
What is w in 5*w**2 + 38920*w + 75738320 = 0?
-3892
Factor 3*a**2 - 30*a + 63.
3*(a - 7)*(a - 3)
Suppose -4*o**4/5 + 49*o**3/5 - 156*o**2/5 + 164*o/5 - 32/5 = 0. Calculate o.
1/4, 2, 8
Factor 7*y**2 + 23*y/2 + 3/2.
(2*y + 3)*(7*y + 1)/2
Suppose 6*w**3 + 57*w**2/2 - 75*w + 81/2 = 0. Calculate w.
-27/4, 1
Solve 14*g**5/15 + 204*g**4/5 + 2134*g**3/15 - 40288*g**2/5 - 14040*g + 23328/5 = 0 for g.
-27, -2, 2/7, 12
Let -4*n**4 - 240*n**3 - 3832*n**2 - 6960*n - 3364 = 0. Calculate n.
-29, -1
Factor 2*y**3/3 - 26*y**2/3 + 8*y.
2*y*(y - 12)*(y - 1)/3
Let -2*k**2/7 - 174*k/7 + 356/7 = 0. Calculate k.
-89, 2
Factor 3*a**4 - 237*a**3 - 2049*a**2 - 3375*a - 1566.
3*(a - 87)*(a + 1)**2*(a + 6)
Factor 605*n**2 + 8580*n + 30420.
5*(11*n + 78)**2
Factor p**3/5 + 2809*p**2/5.
p**2*(p + 2809)/5
Factor -2*s**2/17 - 15736*s/17 - 30952712/17.
-2*(s + 3934)**2/17
Let 3*b**2 + 57*b + 210 = 0. Calculate b.
-14, -5
Let -5*n**3 - 247*n**2 + 1252*n + 540 = 0. Calculate n.
-54, -2/5, 5
Find v such that -4*v**2 + 64 = 0.
-4, 4
Factor 3*v**4/5 - 9*v**3 + 168*v**2/5 - 36*v.
3*v*(v - 10)*(v - 3)*(v - 2)/5
Solve 5*d**4 - 5*d**3 - 10*d**2 = 0 for d.
-1, 0, 2
Determine f, given that 3*f**3 + 18*f**2 - 108*f - 648 = 0.
-6, 6
Find a such that -2*a**4/15 + 616*a**3/15 - 23716*a**2/5 