*i**2 - 110*i - 112 = 0.
-8, -1, 1, 7
Determine j, given that -2*j**4/7 + 34*j**3/7 - 152*j**2/7 + 120*j/7 = 0.
0, 1, 6, 10
Solve 4*d**2 - 308*d + 304 = 0.
1, 76
Solve -u**4/3 - 31*u**3/3 - 59*u**2/3 - 29*u/3 = 0 for u.
-29, -1, 0
Factor 14*o**2 + 3798*o + 1084.
2*(o + 271)*(7*o + 2)
Factor k**2 + 184*k + 8464.
(k + 92)**2
Let -4*d**4 - 4*d**3 + 28*d**2 + 52*d + 24 = 0. Calculate d.
-2, -1, 3
Find r, given that 25*r**5 + 1630*r**4 + 6500*r**3 + 5810*r**2 + 915*r = 0.
-61, -3, -1, -1/5, 0
Let 4*t**5 - 280*t**4 - 336*t**3 + 3592*t**2 + 7052*t + 3408 = 0. Calculate t.
-3, -1, 4, 71
Determine b so that -11*b**4/4 - 14*b**3 - 103*b**2/4 - 41*b/2 - 6 = 0.
-2, -12/11, -1
Solve -4*p**3 + 192*p**2 + 400*p = 0.
-2, 0, 50
Suppose y**5 - 5*y**4 + 2*y**3 + 8*y**2 = 0. Calculate y.
-1, 0, 2, 4
Factor t**2/5 - 1796*t/5 + 806404/5.
(t - 898)**2/5
Solve 2*q**4/19 - 26*q**2/19 - 24*q/19 = 0.
-3, -1, 0, 4
Factor 3*d**2 - 36*d - 84.
3*(d - 14)*(d + 2)
Suppose -2*f**5 - 18*f**4 + 42*f**3 - 22*f**2 = 0. What is f?
-11, 0, 1
Determine g, given that -g**4 + 9*g**3 - 23*g**2 + 15*g = 0.
0, 1, 3, 5
Factor -6*g**3 + 5*g**2 + 29*g - 10.
-(g + 2)*(2*g - 5)*(3*g - 1)
Factor 5*x**3 + 5*x**2 - 80*x + 100.
5*(x - 2)**2*(x + 5)
Determine z so that -z**3/2 + 5*z**2/2 + z - 12 = 0.
-2, 3, 4
Factor -4*h**3/3 - 76*h**2.
-4*h**2*(h + 57)/3
Let 5*v**5/2 - 71*v**4/2 - v**3/2 + 223*v**2/2 - 92*v + 14 = 0. What is v?
-2, 1/5, 1, 14
Suppose 4*m**2 + 180*m - 784 = 0. What is m?
-49, 4
Determine h so that 78*h**4/7 + 4*h**3/7 - 234*h**2/7 + 144*h/7 + 8/7 = 0.
-2, -2/39, 1
Find d such that -d**2/8 - 2*d - 39/8 = 0.
-13, -3
Solve -w**4/2 + 28*w**3 + 1497*w**2/2 + 4570*w + 3850 = 0 for w.
-10, -1, 77
Factor -2*h**3/7 - 40*h**2/7 + 250*h/7.
-2*h*(h - 5)*(h + 25)/7
Factor -3*g**3 - 1035*g**2 - 2061*g - 1029.
-3*(g + 1)**2*(g + 343)
Factor 4*o**4 - 12*o**2 + 8*o.
4*o*(o - 1)**2*(o + 2)
Factor -35*b**3/4 + 18*b**2 - b.
-b*(b - 2)*(35*b - 2)/4
Determine t so that 75*t**5/4 + 135*t**4 - 2793*t**3/4 + 1803*t**2/2 - 423*t + 66 = 0.
-11, 2/5, 1, 2
Solve -2*t**2 + 58*t - 240 = 0.
5, 24
What is g in 12*g**3/5 + 87*g**2/5 - 807*g/5 + 234 = 0?
-13, 2, 15/4
Solve -292*s**3 - 880*s**2 + 2908*s + 40 = 0.
-5, -1/73, 2
Solve -5*z**5 - 55*z**4 - 50*z**3 = 0 for z.
-10, -1, 0
Factor 8*t**3 + 40*t**2 - 46*t + 12.
2*(t + 6)*(2*t - 1)**2
Solve -x**5/9 + 4*x**4/9 - 4*x**3/9 - 2*x**2/9 + 5*x/9 - 2/9 = 0.
-1, 1, 2
Suppose -2*j**2 + 12*j + 32 = 0. What is j?
-2, 8
What is m in 4*m**2 - 9296*m + 5400976 = 0?
1162
Suppose -o**4/5 + 28*o**3/5 + 97*o**2/5 - 112*o/5 - 372/5 = 0. Calculate o.
-3, -2, 2, 31
Let -4*l**2 - 8*l + 140 = 0. Calculate l.
-7, 5
Suppose -r**3/10 - 101*r**2/10 + 345*r/2 + 55125/2 = 0. Calculate r.
-75, 49
Solve -v**5/3 - 2*v**4 + v**3/3 + 34*v**2/3 + 4*v - 40/3 = 0 for v.
-5, -2, 1, 2
Find k, given that 4*k**2/3 - 656*k/3 + 432 = 0.
2, 162
Factor 3*d**3 - 63*d**2 - 378*d - 312.
3*(d - 26)*(d + 1)*(d + 4)
Let -20*r**4 - 1468*r**3 - 2024*r**2 - 576*r = 0. Calculate r.
-72, -1, -2/5, 0
Factor -l**2 - 669*l.
-l*(l + 669)
Factor -2*x**2 - 18*x - 28.
-2*(x + 2)*(x + 7)
Suppose 3*b**3 - 87*b**2 + 840*b - 2700 = 0. Calculate b.
9, 10
Factor -j**4/2 - 3*j**3/2 + 2*j**2.
-j**2*(j - 1)*(j + 4)/2
Factor -u**4/4 - 37*u**3/4 + 3*u**2/4 + 113*u/4 + 37/2.
-(u - 2)*(u + 1)**2*(u + 37)/4
Factor k**3/2 + k**2 - 3*k/2.
k*(k - 1)*(k + 3)/2
Suppose 2*l**3/3 - 19*l**2 + 28*l/3 = 0. Calculate l.
0, 1/2, 28
Let 3*d**5 - 48*d**4 + 192*d**3 - 102*d**2 - 195*d + 150 = 0. Calculate d.
-1, 1, 5, 10
Determine u, given that -u**4/5 + 24*u**3 + 744*u**2/5 + 1504*u/5 + 1008/5 = 0.
-2, 126
Factor w**3/8 + 17*w**2/2 + 381*w/8 + 279/4.
(w + 3)**2*(w + 62)/8
Factor f**3 - 507*f + 4394.
(f - 13)**2*(f + 26)
Factor -r**2/7 + 117*r/7 - 116/7.
-(r - 116)*(r - 1)/7
Solve -3*f**3 + 21*f**2 - 18*f = 0.
0, 1, 6
Find j, given that -14*j**2/3 + 90*j - 76/3 = 0.
2/7, 19
Factor 2*b**2/5 + 6*b - 68/5.
2*(b - 2)*(b + 17)/5
Factor -2*j**4/7 + 10*j**3/7 + 2*j**2/7 - 10*j/7.
-2*j*(j - 5)*(j - 1)*(j + 1)/7
Factor 3*u**2/4 - 13*u/2 - 16.
(u + 2)*(3*u - 32)/4
Suppose -4*w**3 + 16*w**2 + 1456*w + 2816 = 0. What is w?
-16, -2, 22
Factor -2*a**5 - 12*a**4 - 18*a**3 - 8*a**2.
-2*a**2*(a + 1)**2*(a + 4)
Determine u so that 16*u**4 + 28*u**3 - 24*u**2 - 37*u - 10 = 0.
-2, -1/2, 5/4
Factor -p**3/2 - 26*p**2 - 338*p.
-p*(p + 26)**2/2
Factor -3*x**4/5 + 294*x**3/5 - 4563*x**2/5 + 3888*x.
-3*x*(x - 80)*(x - 9)**2/5
Let -4*w**3 - 44*w**2 - 120*w = 0. What is w?
-6, -5, 0
Factor 2*w**3/11 + 12*w**2/11 - 72*w/11 + 80/11.
2*(w - 2)**2*(w + 10)/11
Factor 4*d**3/3 + 80*d**2/3 - 1708*d/3 + 6664/3.
4*(d - 7)**2*(d + 34)/3
Factor -i**2 - 78*i - 792.
-(i + 12)*(i + 66)
Let -2*y**5/7 - 68*y**4/7 + 382*y**3/7 - 312*y**2/7 = 0. What is y?
-39, 0, 1, 4
Solve -2*f**4/11 - 2*f**3 + 120*f**2/11 + 1000*f/11 - 4000/11 = 0 for f.
-10, 4, 5
What is m in -20*m**5 - 52*m**4 + 284*m**3 + 196*m**2 - 120*m = 0?
-5, -1, 0, 2/5, 3
Factor -43175444*b**5/3 - 86546252*b**4 - 130699400*b**3 - 5290744*b**2/3 - 7964*b - 12.
-4*(b + 3)**2*(221*b + 1)**3/3
Suppose 5*n**4/2 - 14*n**3 - 25*n**2/2 + 42*n - 18 = 0. What is n?
-2, 3/5, 1, 6
Factor v**4/2 - 25*v**3/4 - 293*v**2/4 - 35*v.
v*(v - 20)*(v + 7)*(2*v + 1)/4
Solve -4*o**2 + 436*o = 0.
0, 109
Factor -x**5/2 + 331*x**4 - 109561*x**3/2.
-x**3*(x - 331)**2/2
Factor -3*n**3 + 15*n**2 - 6*n - 24.
-3*(n - 4)*(n - 2)*(n + 1)
Factor -f**3/3 + 56*f**2/3 - 35*f - 54.
-(f - 54)*(f - 3)*(f + 1)/3
Factor -w**3/5 - 1757*w**2/5 + 3517*w/5 - 1759/5.
-(w - 1)**2*(w + 1759)/5
Let -l**2/4 + 39*l/2 = 0. Calculate l.
0, 78
Suppose 504*i**4/5 - 528*i**3/5 - 682*i**2/5 + 546*i/5 + 196/5 = 0. What is i?
-1, -2/7, 7/6
Factor 5*s**4 + 20*s**3 - 25*s**2.
5*s**2*(s - 1)*(s + 5)
Suppose 8*s**4/9 - 10*s**3 + 86*s**2/9 + 16*s - 40/9 = 0. Calculate s.
-1, 1/4, 2, 10
Suppose -2*t**3/5 - 38*t**2/5 + 84*t/5 = 0. What is t?
-21, 0, 2
Find o, given that -2*o**2/7 - 2*o/7 + 12/7 = 0.
-3, 2
Determine n so that -n**3/4 - 4*n**2 - 20*n - 32 = 0.
-8, -4
Factor -10*f**5 + 125*f**4 - 60*f**3.
-5*f**3*(f - 12)*(2*f - 1)
Factor 2*i**3/17 + 28*i**2/17 - 2862*i/17 - 58320/17.
2*(i - 40)*(i + 27)**2/17
Determine b, given that 5*b**5 + 320*b**4 + 1480*b**3 + 190*b**2 - 6285*b - 5310 = 0.
-59, -3, -1, 2
Factor -3*g**5/7 - 825*g**4/7 - 56304*g**3/7 + 57132*g**2/7.
-3*g**2*(g - 1)*(g + 138)**2/7
Factor 2*c**3 - 34*c**2 - 376*c - 600.
2*(c - 25)*(c + 2)*(c + 6)
Factor -y**4/3 - 126*y**3 + 379*y**2/3.
-y**2*(y - 1)*(y + 379)/3
Solve 100*k**4 - 2720*k**3 + 7376*k**2 + 7232*k + 1536 = 0 for k.
-2/5, 4, 24
Solve 98*l**5/11 - 2506*l**4/11 - 1336*l**3/11 + 6464*l**2/11 - 3136*l/11 + 416/11 = 0.
-2, 2/7, 1, 26
Find i such that 5*i**5 + 230*i**4 + 440*i**3 - 10*i**2 - 445*i - 220 = 0.
-44, -1, 1
Find y such that 8*y**3/3 + 62*y**2 + 178*y/3 = 0.
-89/4, -1, 0
Solve 2*r**3 - 50*r**2 + 94*r - 46 = 0.
1, 23
Factor -18*y**5/13 - 42*y**4/13 + 106*y**3/13 + 114*y**2/13 - 288*y/13 + 128/13.
-2*(y - 1)**3*(3*y + 8)**2/13
Solve 2*g**3/11 - 316*g**2/11 + 1238*g/11 - 84 = 0 for g.
1, 3, 154
Factor 171*l**4/4 + 85*l**3/2 - l**2/4.
l**2*(l + 1)*(171*l - 1)/4
Let -3*a**3 + 192*a**2 - 3312*a + 17280 = 0. What is a?
12, 40
Factor 2*u**5/3 - 8*u**4/3 + 4*u**3 - 8*u**2/3 + 2*u/3.
2*u*(u - 1)**4/3
Factor 3*l**4 + 216*l**3 + 828*l**2 + 816*l.
3*l*(l + 2)**2*(l + 68)
Factor -2*i**3/13 + 10*i**2/13 + 66*i/13 + 54/13.
-2*(i - 9)*(i + 1)*(i + 3)/13
What is z in -4*z**3 + 28*z + 24 = 0?
-2, -1, 3
Determine u so that -20*u**5 + 88*u**4 + 28*u**3 - 224*u**2 - 80*u + 64 = 0.
-1, 2/5, 2, 4
Factor g**5/2 + g**4/2.
g**4*(g + 1)/2
Factor -5*u**3 + 155*u - 150.
-5*(u - 5)*(u - 1)*(u + 6)
Factor 4*w**4 + 1264*w**3 + 97296*w**2 - 404480*w + 409600.
4*(w - 2)**2*(w + 160)**2
Factor -2*b**2 - 4*b - 2.
-2*(b + 1)**2
Solve 4*y**3/5 - 8*y**2/5 - 16*y/5 + 32/5 = 0.
-2, 2
Factor -4*w**2/3 + 656*w/3 - 26896/3.
-4*(w - 82)**2/3
Let 9*i**4/5 + 2064*i**3/5 + 117642*i**2/5 - 16008*i - 7935 = 0. What is i?
-115, -1/3, 1
Factor -3*c**2/4 - 3555*c/2.
-3*c*(c + 2370)/4
Factor s**4 - 78*s**3 + 75*s**2 + 154*s.
s*(s - 77)*(s - 2)*(s + 1)
Factor -x**3/2 - 3*x**2 - 4*x.
-x*(x + 2)*(x + 4)/2
Determine m, given that -3*m**3/7 - 3*m**2 - 18*m/7 = 0.
-6, -1, 0
Factor l**2/2 - 19*l/2 - 126.
(l - 28)*(l + 9)/2
What is k in 2*k**3/9 - 146*k**2/9 - 148*k/9 = 0?
-1, 0,