at t**4/6 + t**3/6 - t**2/2 - t/6 + 1/3 = 0.
-2, -1, 1
Determine v, given that -v**3 - 35*v**2 + 152*v - 156 = 0.
-39, 2
Find c, given that -2*c**4/9 + 44*c**3/9 + 106*c**2/3 + 496*c/9 + 224/9 = 0.
-4, -1, 28
Factor a**4/2 - 29*a**3/8 + 39*a**2/4 - 23*a/2 + 5.
(a - 2)**3*(4*a - 5)/8
Find k, given that 2*k**3/5 + 6*k**2/5 - 2*k/5 - 6/5 = 0.
-3, -1, 1
Solve -5*l**4 - 115*l**3 + 245*l**2 - 125*l = 0.
-25, 0, 1
Solve -65*s**5/4 + 315*s**4/4 - 145*s**3/4 - 355*s**2/4 + 105*s/2 + 10 = 0 for s.
-1, -2/13, 1, 4
Let -2*s**5/5 + 42*s**4/5 - 128*s**3/5 - 168*s**2/5 + 544*s/5 = 0. Calculate s.
-2, 0, 2, 4, 17
Factor -3*s**2 + 183*s.
-3*s*(s - 61)
What is c in 5*c**2 - 45*c + 100 = 0?
4, 5
Suppose 3*b**3 - 69*b**2 - 3*b + 69 = 0. Calculate b.
-1, 1, 23
Solve 4*x**3 - 24*x**2 + 20*x + 48 = 0.
-1, 3, 4
Let 2*m**5/9 - 56*m**4/3 + 3692*m**3/9 - 2296*m**2/3 + 3362*m/9 = 0. Calculate m.
0, 1, 41
Determine x, given that -3*x**2 - 324*x - 8748 = 0.
-54
Factor -2*b**3 + 4*b**2.
-2*b**2*(b - 2)
Factor -o**4/6 + 11*o**2/3 - 4*o - 15/2.
-(o - 3)**2*(o + 1)*(o + 5)/6
Factor -3*u**4 + 129*u**3 - 483*u**2 + 591*u - 234.
-3*(u - 39)*(u - 2)*(u - 1)**2
What is y in 61*y**3 + 3*y**2 - 61*y - 3 = 0?
-1, -3/61, 1
Suppose -4*m**2/3 + 104*m/3 - 676/3 = 0. Calculate m.
13
Factor -3*i**2 + 246*i.
-3*i*(i - 82)
Let -408321*b**2 - 2556*b - 4 = 0. Calculate b.
-2/639
Find q such that -2*q**3/19 - 2*q**2/19 + 66*q/19 - 126/19 = 0.
-7, 3
Determine y, given that 3*y**5/2 - 147*y**4 + 6903*y**3/2 + 7350*y**2 + 3750*y = 0.
-1, 0, 50
Factor g**4 - 4*g**3 - 37*g**2 - 68*g - 36.
(g - 9)*(g + 1)*(g + 2)**2
Find t such that 2*t**4/17 + 2*t**3/17 - 26*t**2/17 - 50*t/17 - 24/17 = 0.
-3, -1, 4
Factor -3*p**3 + 33*p**2 - 108*p + 108.
-3*(p - 6)*(p - 3)*(p - 2)
Let 4*c**2 - 156*c + 296 = 0. Calculate c.
2, 37
Find n, given that -2*n**3/7 + 318*n**2/7 - 16854*n/7 + 297754/7 = 0.
53
Let 476*i**4 + 500*i**3 + 104*i**2 = 0. What is i?
-13/17, -2/7, 0
Suppose -7*z**2/4 + 305*z/4 - 43 = 0. Calculate z.
4/7, 43
Find x such that 4*x**2 + 364*x = 0.
-91, 0
Determine j so that 7*j**5 + 26*j**4 - 15*j**3 - 26*j**2 + 8*j = 0.
-4, -1, 0, 2/7, 1
Solve -3*v**2/7 + 345*v/7 + 702/7 = 0.
-2, 117
Determine k, given that k**2 + 39*k + 108 = 0.
-36, -3
Factor -5*o**4/4 + 70*o**3 - 1135*o**2/2 - 11550*o - 136125/4.
-5*(o - 33)**2*(o + 5)**2/4
Determine m so that 4*m**2 - 460*m + 456 = 0.
1, 114
Factor -y**5/6 + 41*y**4/2 - 1281*y**3/2 + 3721*y**2/6.
-y**2*(y - 61)**2*(y - 1)/6
Let -b**3/7 + 13*b**2/7 + 15*b + 171/7 = 0. Calculate b.
-3, 19
Factor -2*u**2/11 + 364*u/11 - 16562/11.
-2*(u - 91)**2/11
Find q such that 45*q**3 - 237*q**2 + 246*q - 72 = 0.
3/5, 2/3, 4
Let -5*y**5 - 50*y**4 + 120*y**3 + 1280*y**2 - 2560*y = 0. Calculate y.
-8, 0, 2, 4
Let -4*h**3 + 88*h**2 + 188*h + 96 = 0. Calculate h.
-1, 24
Find m such that -5*m**4 + 60*m**3 + 210*m**2 - 4900*m + 15435 = 0.
-9, 7
Let -a**4/3 - a**3 + 3*a**2 - 5*a/3 = 0. What is a?
-5, 0, 1
Factor 45*i**5 + 690*i**4 + 3065*i**3 + 3220*i**2 + 980*i.
5*i*(i + 7)**2*(3*i + 2)**2
Determine f, given that -f**2/4 + 461*f/2 + 923/4 = 0.
-1, 923
Find z, given that -3*z**3 + 1005*z**2 - 2001*z + 999 = 0.
1, 333
Let -4*z**3 + 8*z**2 + 128*z - 384 = 0. What is z?
-6, 4
Factor 2*h**2 + 888*h + 98568.
2*(h + 222)**2
Solve -20*w**3 + 528*w**2 - 708*w + 200 = 0 for w.
2/5, 1, 25
Find f such that 5*f**2 + 495*f + 3220 = 0.
-92, -7
Factor -x**3/6 - 19*x**2/6 + 165*x + 168.
-(x - 24)*(x + 1)*(x + 42)/6
Factor 3*f**2 + 114*f + 1083.
3*(f + 19)**2
What is s in 2*s**2 - 8*s = 0?
0, 4
Factor 5*i**3 + 620*i**2 + 4125*i + 3510.
5*(i + 1)*(i + 6)*(i + 117)
Find x such that 490*x**3 + 1155*x**2 + 360*x + 20 = 0.
-2, -2/7, -1/14
Factor 15*u**3/2 - 9*u**2 - 189*u/2.
3*u*(u + 3)*(5*u - 21)/2
Determine c, given that -2*c**2 - 150*c - 2808 = 0.
-39, -36
Suppose -2*o**3 - 8*o**2 + 70*o + 300 = 0. What is o?
-5, 6
Let 3*n**4 - 2592*n**2 + 41472*n - 186624 = 0. Calculate n.
-36, 12
Let 3*s**3 + 618*s**2 - 3*s - 618 = 0. Calculate s.
-206, -1, 1
Factor s**4/7 - 2*s**3/7 + s**2/7.
s**2*(s - 1)**2/7
Suppose 2*l**3/19 - 130*l**2/19 - 14*l - 134/19 = 0. Calculate l.
-1, 67
Solve -2*n**3/5 - 16*n**2/5 - 38*n/5 - 24/5 = 0.
-4, -3, -1
Factor -k**4/3 - 54*k**3 - 5329*k**2/3 + 33264*k - 379456/3.
-(k - 7)**2*(k + 88)**2/3
Factor 2*s**3 - 48*s**2 - 50*s.
2*s*(s - 25)*(s + 1)
Determine t so that -4*t**4/11 + 10*t**3/11 - 8*t**2/11 + 2*t/11 = 0.
0, 1/2, 1
Factor 3*j**3/5 - 18*j**2/5 + 24*j/5.
3*j*(j - 4)*(j - 2)/5
Factor -2*p**3 + 242*p**2 - 6120*p.
-2*p*(p - 85)*(p - 36)
Factor -4*k**2 + 908*k.
-4*k*(k - 227)
Suppose -4*p**3 + 20*p**2 - 28*p + 12 = 0. What is p?
1, 3
Solve 2*y**5/17 - 18*y**4/17 - 2*y**3/17 + 18*y**2/17 = 0 for y.
-1, 0, 1, 9
What is j in -3*j**5 - 63*j**4 + 378*j**3 - 312*j**2 = 0?
-26, 0, 1, 4
Factor -n**3/5 - 5*n**2 - 168*n/5 - 144/5.
-(n + 1)*(n + 12)**2/5
Suppose 4*r**5 + 76*r**4 + 468*r**3 + 1188*r**2 + 1080*r = 0. Calculate r.
-10, -3, 0
Find y such that -4*y**4 + 48*y**3 + 56*y**2 - 48*y - 52 = 0.
-1, 1, 13
Find v such that 2*v**3/9 - 50*v**2 - 764*v/3 - 1840/9 = 0.
-4, -1, 230
Find h such that 2*h**2/3 + 15512*h/3 + 30077768/3 = 0.
-3878
Factor -g**3/4 + 13*g**2/2 - 40*g + 72.
-(g - 18)*(g - 4)**2/4
Determine z so that 25*z**4/2 - 301*z**3/4 + 3*z**2/2 = 0.
0, 1/50, 6
Find h, given that -3*h**3 - 12*h**2 + 96*h = 0.
-8, 0, 4
Let -i**2/2 + 11*i/2 + 21 = 0. Calculate i.
-3, 14
Find n, given that n**2/3 - 4*n/3 = 0.
0, 4
Factor 20*j**3 + 8525*j**2 + 909510*j + 226845.
5*(j + 213)**2*(4*j + 1)
Factor -10*r**5/3 - 46*r**4/3 - 64*r**3/3 - 8*r**2.
-2*r**2*(r + 2)**2*(5*r + 3)/3
Solve -7*v**4/2 - 65*v**3/2 - 123*v**2/2 - 79*v/2 - 7 = 0.
-7, -1, -2/7
Suppose 2*i**5/7 - 2*i**4/7 - 10*i**3/7 + 10*i**2/7 + 8*i/7 - 8/7 = 0. Calculate i.
-2, -1, 1, 2
Determine m, given that -2*m**2/11 + 52*m/11 - 96/11 = 0.
2, 24
Solve -2*z**5/13 + 2*z**4/13 + 70*z**3/13 + 110*z**2/13 - 68*z/13 - 112/13 = 0 for z.
-4, -2, -1, 1, 7
Factor 3*n**5 + 3*n**4 - 21*n**3 - 39*n**2 - 18*n.
3*n*(n - 3)*(n + 1)**2*(n + 2)
Factor 2*x**2 - 24*x + 22.
2*(x - 11)*(x - 1)
Solve -5*y**3 - 110*y**2 + 75*y + 9000 = 0 for y.
-15, 8
Find b such that -3*b**3 - 111*b**2 - 213*b - 105 = 0.
-35, -1
Factor 3*i**3/4 - 717*i**2/4 + 10620*i + 10800.
3*(i - 120)**2*(i + 1)/4
Let -3*r**5/11 + 2*r**4/11 + 16*r**3/11 + 14*r**2/11 + 3*r/11 = 0. Calculate r.
-1, -1/3, 0, 3
Let 2*w**2/5 - 92*w/5 - 94/5 = 0. What is w?
-1, 47
Factor -b**3/7 - 67*b**2/7.
-b**2*(b + 67)/7
Suppose -2*d**5/21 + 22*d**4/7 - 52*d**3/21 - 56*d**2/3 + 80*d/7 + 512/21 = 0. What is d?
-2, -1, 2, 32
Find p such that 5*p**4 - 5*p**3 - 240*p**2 - 400*p + 640 = 0.
-4, 1, 8
Solve 3*a**3/2 - 15*a**2/2 + 3*a + 12 = 0 for a.
-1, 2, 4
Suppose -2*h**3/11 - 42*h**2/11 + 570*h/11 + 12274/11 = 0. Calculate h.
-19, 17
Determine u, given that -4*u**2 + 504*u + 1024 = 0.
-2, 128
Solve 2*v**3 - 56*v**2 = 0.
0, 28
Factor -k**3/2 + 5*k**2/2 + 11*k + 8.
-(k - 8)*(k + 1)*(k + 2)/2
Suppose y**4/4 + 11*y**3/4 - 3*y**2/4 - 31*y/4 + 11/2 = 0. What is y?
-11, -2, 1
Factor 2*z**2/11 + 42*z/11.
2*z*(z + 21)/11
Suppose 3*a**5 - 50*a**4 + 218*a**3 - 364*a**2 + 259*a - 66 = 0. Calculate a.
2/3, 1, 3, 11
Factor 2*m**3 - 12*m**2 + 64.
2*(m - 4)**2*(m + 2)
Factor t**2 - 16*t + 28.
(t - 14)*(t - 2)
What is l in l**3 - 5*l**2 + 4*l = 0?
0, 1, 4
What is g in -21*g**5 - 78*g**4 - 102*g**3 - 48*g**2 + 3*g + 6 = 0?
-1, 2/7
Find d, given that 3*d**4 + 270*d**3 + 5799*d**2 - 12420*d + 6348 = 0.
-46, 1
What is z in -6*z**4/5 + 58*z**3/5 + 18*z**2 - 18*z/5 - 44/5 = 0?
-1, 2/3, 11
Determine k so that -4*k**5/5 + 44*k**4/5 - 108*k**3/5 + 20*k**2 - 32*k/5 = 0.
0, 1, 8
Factor -5*x**2 - 2305*x + 6960.
-5*(x - 3)*(x + 464)
What is w in -2*w**2/3 + 32*w/3 - 10 = 0?
1, 15
Determine n, given that -2*n**5 - 14*n**4 - 30*n**3 - 26*n**2 - 8*n = 0.
-4, -1, 0
Solve -i**4/6 - 3*i**3/2 + 2*i**2 + 10*i/3 = 0 for i.
-10, -1, 0, 2
Solve 3*b**5 - 201*b**4 + 3465*b**3 - 3267*b**2 = 0.
0, 1, 33
Solve -5*y**3 + 80*y**2 + 400*y = 0.
-4, 0, 20
Suppose -4*h**2 - 444*h - 1712 = 0. What is h?
-107, -4
Factor -2*w**2 - 778*w/3 - 172.
-2*(w + 129)*(3*w + 2)/3
Factor -6*u**3 - 14*u**2 + 12*u.
-2*u*(u + 3)*(3*u - 2)
Factor 30*i**4 - 155*i**3 + 145*i**2 - 20*i.
5*i*(i - 4)*(i - 1)*(6*i - 1)
Factor 1682*g**3 + 290*g**2 + 25*g/2.
g*(58*g + 5)**2/2
Factor 2*s*