2*r**4/3 + 732*r**3 + 203118*r**2 + 1199016*r + 1788696 = 0. What is r?
-546, -3
Solve 4*o**4/3 + 28*o**3/3 + 44*o**2/3 + 20*o/3 = 0.
-5, -1, 0
What is n in -n**3 + 20*n**2/9 - 13*n/9 + 2/9 = 0?
2/9, 1
Factor 2*v**4 - 14*v**2 + 12*v.
2*v*(v - 2)*(v - 1)*(v + 3)
Factor 6*t**3/7 - 102*t**2/7 - 246*t/7 + 342/7.
6*(t - 19)*(t - 1)*(t + 3)/7
Factor 17*r**3/2 - 220*r**2 + 2821*r/2 + 169.
(r - 13)**2*(17*r + 2)/2
Suppose x**2/3 + 8*x/3 = 0. Calculate x.
-8, 0
Find i such that 4*i**2 - 16*i - 84 = 0.
-3, 7
Let 194*n**2/11 + 394*n/11 + 12/11 = 0. What is n?
-2, -3/97
Let -60*f**4 + 692*f**3 - 316*f**2 - 404*f + 88 = 0. What is f?
-2/3, 1/5, 1, 11
Let -m**4/2 - 21*m**3/2 - 36*m**2 - 34*m = 0. What is m?
-17, -2, 0
Factor g**5 + g**4 - 66*g**3 + 224*g**2 - 160*g.
g*(g - 4)**2*(g - 1)*(g + 10)
Factor -a**5/6 - 247*a**4/6 - 491*a**3/6 - 245*a**2/6.
-a**2*(a + 1)**2*(a + 245)/6
Let -2*i**4 - 66*i**3 - 126*i**2 - 62*i = 0. Calculate i.
-31, -1, 0
What is s in -4*s**4/3 - 28*s**3/3 - 20*s**2 - 52*s/3 - 16/3 = 0?
-4, -1
Suppose c**3 + 48*c**2 + 621*c + 1058 = 0. Calculate c.
-23, -2
Suppose -3*u**5 + 63*u**4 - 123*u**3 - 855*u**2 + 2862*u - 1944 = 0. Calculate u.
-4, 1, 3, 18
Solve 16*n**4 + 36*n**3 - 122*n**2 - 36*n + 16 = 0 for n.
-4, -1/2, 1/4, 2
Let -28*i**5 + 64*i**4 + 12*i**3 - 64*i**2 + 16*i = 0. What is i?
-1, 0, 2/7, 1, 2
Suppose 8*h**4/5 + 4*h**3 + 17*h**2/10 + h/5 = 0. Calculate h.
-2, -1/4, 0
Factor p**3 - 363*p**2 - 1096*p - 732.
(p - 366)*(p + 1)*(p + 2)
Factor -2*t**5/23 + 20*t**4/23 + 78*t**3/23.
-2*t**3*(t - 13)*(t + 3)/23
Factor -4*z**4 - 140*z**3 - 1600*z**2 - 6000*z.
-4*z*(z + 10)**2*(z + 15)
Find v, given that -v**4/2 + 6*v**3 - 27*v**2 + 54*v - 81/2 = 0.
3
Factor -y**3/5 + 27*y**2/5 - 48*y + 704/5.
-(y - 11)*(y - 8)**2/5
Factor -i**2/3 + 145*i/3 - 3616/3.
-(i - 113)*(i - 32)/3
Factor p**4/4 - 5*p**3 + 131*p**2/4 - 79*p + 63.
(p - 9)*(p - 7)*(p - 2)**2/4
Factor -876*a**3 - 17524*a**2 - 87680*a - 400.
-4*(a + 10)**2*(219*a + 1)
What is a in -2*a**2 - 28*a - 66 = 0?
-11, -3
Suppose -b**3/2 + 47*b**2/2 + 74*b + 50 = 0. What is b?
-2, -1, 50
Factor t**4/5 - 6*t**3/5 - 51*t**2 - 488*t/5 - 48.
(t - 20)*(t + 1)**2*(t + 12)/5
Let -4*g**4 + 24*g**2 - 32*g + 12 = 0. Calculate g.
-3, 1
Solve -3*i**5 + 3*i**4 + 18*i**3 - 12*i**2 - 24*i = 0 for i.
-2, -1, 0, 2
What is k in -k**5 - 20*k**4 + k**3 + 20*k**2 = 0?
-20, -1, 0, 1
Let -3*z**2 + 9132*z - 6949452 = 0. What is z?
1522
Find i, given that -i**4/2 + 64*i**3 - 1543*i**2/2 + 2778*i - 2070 = 0.
1, 6, 115
Factor 63*h**3/4 - 1131*h**2/2 - 54*h.
3*h*(h - 36)*(21*h + 2)/4
Determine c so that -5*c**3 - 45*c**2 - 100*c - 60 = 0.
-6, -2, -1
What is g in -50*g**5/11 - 2460*g**4/11 - 19258*g**3/11 - 33400*g**2/11 + 36600*g/11 - 8000/11 = 0?
-40, -5, 2/5
Factor d**3 + 253*d**2.
d**2*(d + 253)
Let -10*t**3 - 1315*t**2 - 42900*t + 21780 = 0. Calculate t.
-66, 1/2
Factor q**5/3 - 2*q**4/3 - q**3.
q**3*(q - 3)*(q + 1)/3
Let b**3/4 + 17*b**2/2 + 289*b/4 = 0. What is b?
-17, 0
Factor y**2 - 1149*y.
y*(y - 1149)
Suppose 5*u**4 - 35*u**3 + 25*u**2 + 35*u - 30 = 0. Calculate u.
-1, 1, 6
Determine v so that -2*v**5/7 - 106*v**4/7 - 1814*v**3/7 - 11142*v**2/7 - 28512*v/7 - 26136/7 = 0.
-22, -3
Factor r**4/8 - 3*r**3/2 + 35*r**2/8 - 3*r.
r*(r - 8)*(r - 3)*(r - 1)/8
Factor -3*q**4 + 98*q**3 - 332*q**2 + 382*q - 145.
-(q - 29)*(q - 1)**2*(3*q - 5)
Let -u**3/5 - u**2/5 + 2*u - 8/5 = 0. Calculate u.
-4, 1, 2
Suppose s**4/8 + 13*s**3/8 + 5*s**2 = 0. Calculate s.
-8, -5, 0
Factor r**3 - 229*r**2 + 13224*r - 12996.
(r - 114)**2*(r - 1)
Let -15*b**5 - 69*b**4 + 255*b**3 - 15*b**2 - 240*b + 84 = 0. What is b?
-7, -1, 2/5, 1, 2
Factor -5*g**4 - 360*g**3 + 1505*g**2 - 1140*g.
-5*g*(g - 3)*(g - 1)*(g + 76)
Suppose -110*m**2 + 162*m - 36 = 0. Calculate m.
3/11, 6/5
Determine v so that 2*v**3/5 - 54*v**2/5 + 102*v/5 - 10 = 0.
1, 25
Factor d**3/3 + 22*d**2/3 + 41*d/3 + 20/3.
(d + 1)**2*(d + 20)/3
Solve -15*x**4/4 - 114*x**3 - 1125*x**2 - 3672*x - 1296 = 0 for x.
-12, -6, -2/5
Factor -3*a**3 - 408*a**2 - 3855*a - 9450.
-3*(a + 5)**2*(a + 126)
Solve -t**2/3 + 703*t/3 - 234 = 0.
1, 702
Let x**3/2 + 5*x**2/2 + 3*x/2 - 9/2 = 0. Calculate x.
-3, 1
What is g in -2*g**4 - 16*g**3 - 42*g**2 - 44*g - 16 = 0?
-4, -2, -1
Factor 3*k**2/2 - 549*k + 100467/2.
3*(k - 183)**2/2
Factor 275*n**5/2 + 160*n**4/3 - 2*n**3/3.
n**3*(5*n + 2)*(165*n - 2)/6
Factor d**5 - 11*d**4 + 42*d**3 - 64*d**2 + 32*d.
d*(d - 4)**2*(d - 2)*(d - 1)
Let 2*s**4 + 1204*s**3 - 3626*s**2 + 2420*s = 0. What is s?
-605, 0, 1, 2
Solve -z**2/3 - 9*z - 182/3 = 0 for z.
-14, -13
Determine y, given that -2*y**2/11 + 44*y = 0.
0, 242
Suppose -21*i**5 - 300*i**4 - 588*i**3 + 1830*i**2 - 591*i - 330 = 0. Calculate i.
-11, -5, -2/7, 1
Solve -a**3/2 + 231*a**2/2 + 233*a = 0.
-2, 0, 233
Solve 2*l**2/19 - 248*l/19 + 246/19 = 0.
1, 123
Factor 2*r**3/7 - 52*r**2/7.
2*r**2*(r - 26)/7
Determine n, given that -48*n**4 + 44*n**3 + 8*n**2 - 4*n = 0.
-1/3, 0, 1/4, 1
Determine f so that -5*f**3 + 25*f**2 - 40*f + 20 = 0.
1, 2
Factor 2*w**2 + 108*w.
2*w*(w + 54)
Solve 5*d**2 - 1170*d - 1175 = 0 for d.
-1, 235
Suppose -3*i**3/7 + 6*i**2 + 3*i/7 - 6 = 0. What is i?
-1, 1, 14
Factor -m**5 - 7*m**4 - 17*m**3 - 17*m**2 - 6*m.
-m*(m + 1)**2*(m + 2)*(m + 3)
Factor 2*n**2 + 18*n - 44.
2*(n - 2)*(n + 11)
Determine w, given that -w**5/4 - 2*w**4 - 3*w**3/2 + 18*w**2 + 135*w/4 = 0.
-5, -3, 0, 3
Find l such that 2*l**5 - 40*l**4 + 264*l**3 - 640*l**2 + 512*l = 0.
0, 2, 8
Factor 3*f**2/5 - 39*f - 4788/5.
3*(f - 84)*(f + 19)/5
Factor -3*y**4/4 - 351*y**3/2 - 40359*y**2/4 + 20709*y - 10443.
-3*(y - 1)**2*(y + 118)**2/4
Factor 25*l**4 - 420*l**3 + 1024*l**2 - 624*l + 112.
(l - 14)*(l - 2)*(5*l - 2)**2
Find r, given that -4*r**2/3 + 4316*r/3 + 1440 = 0.
-1, 1080
Factor -7*t**3/4 - 88*t**2 + 1825*t/4 + 275/2.
-(t - 5)*(t + 55)*(7*t + 2)/4
Let -2*d**2/13 + 230*d/13 - 228/13 = 0. Calculate d.
1, 114
Solve -v**2/4 + 27*v/4 + 7 = 0 for v.
-1, 28
Find u such that 20*u**5 + 105*u**4 - 35*u**3 - 355*u**2 - 285*u - 50 = 0.
-5, -1, -1/4, 2
Solve 8*c**5/7 + 2*c**4/7 - 6*c**3/7 = 0.
-1, 0, 3/4
Let -5*p**4 - 85*p**3 + 95*p**2 + 85*p - 90 = 0. What is p?
-18, -1, 1
Solve 2*r**5/3 - 136*r**4/9 + 88*r**3/9 = 0 for r.
0, 2/3, 22
Solve 3*i**3/2 - 141*i**2/2 - 75*i + 144 = 0 for i.
-2, 1, 48
Let -3*u**4/7 - 15*u**3/7 - 15*u**2/7 + 15*u/7 + 18/7 = 0. What is u?
-3, -2, -1, 1
Suppose -2*j**2/5 + 1766*j/5 - 1764/5 = 0. Calculate j.
1, 882
Factor l**3/3 + l**2/3 - 2*l/3.
l*(l - 1)*(l + 2)/3
Factor 4*f**2/9 - 40*f/9.
4*f*(f - 10)/9
Factor 4*r**5 + 24*r**4 - 24*r**3 - 112*r**2 + 180*r - 72.
4*(r - 1)**3*(r + 3)*(r + 6)
What is p in 4*p**4 + 50*p**3 + 18*p**2 - 72*p = 0?
-12, -3/2, 0, 1
Factor 3*n**4 + 108*n**3 + 654*n**2 + 1332*n + 783.
3*(n + 1)*(n + 3)**2*(n + 29)
Solve -t**2/3 + 17*t - 98/3 = 0 for t.
2, 49
Factor -4*h**2/7 + 24*h/7.
-4*h*(h - 6)/7
Let -3*h**4/2 - 37*h**3/4 - 7*h**2 + 41*h/4 + 15/2 = 0. What is h?
-5, -3/2, -2/3, 1
Factor 3*a**2 - 219*a - 1944.
3*(a - 81)*(a + 8)
Determine i so that 2*i**2 + 38*i - 580 = 0.
-29, 10
Solve 2*d**2 - 38*d - 40 = 0 for d.
-1, 20
Factor -3*m**3 + 27*m**2 - 60*m + 36.
-3*(m - 6)*(m - 2)*(m - 1)
Determine k, given that 4*k**5 + 12*k**4 + 8*k**3 - 8*k**2 - 12*k - 4 = 0.
-1, 1
Solve -5*l**5 + 70*l**4 - 180*l**3 + 170*l**2 - 55*l = 0.
0, 1, 11
Suppose -r**5 + 18*r**4 - 37*r**3 - 396*r**2 - 484*r = 0. What is r?
-2, 0, 11
Factor 4*f**2 - 124*f + 232.
4*(f - 29)*(f - 2)
Suppose 2*b**3/3 - 404*b**2/3 - 814*b/3 - 136 = 0. Calculate b.
-1, 204
Suppose -s**4/7 + 2*s**3/7 + 13*s**2/7 + 10*s/7 = 0. Calculate s.
-2, -1, 0, 5
Solve 5*l**5 - 30*l**4 - 130*l**3 - 60*l**2 + 125*l + 90 = 0 for l.
-2, -1, 1, 9
Factor 10*k**3 + 84*k**2 - 58*k - 36.
2*(k - 1)*(k + 9)*(5*k + 2)
Factor -2*f**2/11 - 10*f/11 + 168/11.
-2*(f - 7)*(f + 12)/11
Factor 25*q**3/3 + 84260*q**2/3 + 71014325*q/3 + 28392250/3.
5*(q + 1685)**2*(5*q + 2)/3
Solve -3*k**3/7 - 363*k**2/7 - 2430*k/7 - 4104/7 = 0.
-114, -4, -3
Let -35*p**5 + 115*p**4 - 30*p**3 = 0. Calculate p.
0, 2/7, 3
Factor -2*m**2 - 22*m + 204.
-2*(m - 6)*(m + 17)
Factor 5*i**2 + 115*i - 700.
5*(i - 5)*(i + 28)
Factor 3*t**2 - 168*t + 2352.
3*(t - 28)**2
Factor -4*q**3 - 68*q**2 - 120*q.
-4*q*(q + 2)*(q + 15)
Factor -2*j**2 - 180*j - 3168.
-2*(j + 24)*(j + 66)
Let 4*h**4 - 188*h**3