f**2/5 - 12*f = 0.
-1, 0, 30
Suppose -4*f**3 + 12*f**2 + 256*f + 240 = 0. Calculate f.
-6, -1, 10
Solve 3*j**4/5 + 21*j**3/5 + 51*j**2/5 + 51*j/5 + 18/5 = 0.
-3, -2, -1
Factor 2560*j**5 - 96320*j**4 + 887800*j**3 + 342005*j**2 + 43130*j + 1805.
5*(j - 19)**2*(8*j + 1)**3
Find j, given that -2*j**4/5 + 58*j**3/5 + 186*j**2/5 + 38*j + 64/5 = 0.
-1, 32
Factor s**4 + 20*s**3 + 117*s**2 + 162*s.
s*(s + 2)*(s + 9)**2
Factor h**4 - 256*h**3 - 1560*h**2 - 3136*h - 2096.
(h - 262)*(h + 2)**3
Solve -l**5/2 + 51*l**4/2 + 108*l**3 + 110*l**2 = 0.
-2, 0, 55
Find w such that 8*w**4 + 4*w**3 - 96*w**2 + 80*w + 64 = 0.
-4, -1/2, 2
Solve 2*z**4/9 - 28*z**3/9 - 46*z**2/3 - 12*z = 0.
-3, -1, 0, 18
What is s in -2*s**5/9 + 4*s**4/9 + 98*s**3/9 - 4*s**2/9 - 32*s/3 = 0?
-6, -1, 0, 1, 8
Suppose -19*u**3 - 230*u**2 - 233*u - 22 = 0. Calculate u.
-11, -1, -2/19
Factor 5*x**2 - 485*x + 950.
5*(x - 95)*(x - 2)
Factor -3*c**4 - 42*c**3 - 75*c**2 - 36*c.
-3*c*(c + 1)**2*(c + 12)
Determine i so that -i**2/4 - 6*i - 36 = 0.
-12
Factor 6*z**4 - 22*z**3 - 80*z**2 - 24*z.
2*z*(z - 6)*(z + 2)*(3*z + 1)
Find m, given that m**5/6 - 5*m**4/3 + 4*m**3/3 + 5*m**2/3 - 3*m/2 = 0.
-1, 0, 1, 9
Factor 3*i**4 + 33*i**3 + 66*i**2 - 180*i - 216.
3*(i - 2)*(i + 1)*(i + 6)**2
Let 4*c**3 - 52*c**2 - 4*c + 52 = 0. Calculate c.
-1, 1, 13
Factor -3*x**3/8 + 285*x**2/8 + 219*x/2 + 147/2.
-3*(x - 98)*(x + 1)*(x + 2)/8
Factor -o**4/9 + o**3/9 + 22*o**2/9 + 44*o/9 + 8/3.
-(o - 6)*(o + 1)*(o + 2)**2/9
Determine l, given that 2*l**2/11 + 112*l/11 + 90 = 0.
-45, -11
Solve -2*l**2/5 + 10*l + 448/5 = 0.
-7, 32
Determine y so that 25*y**4 + 190*y**3 + 105*y**2 = 0.
-7, -3/5, 0
Factor -32*t**2 + 1599*t/2 + 25/2.
-(t - 25)*(64*t + 1)/2
Factor -n**2/5 - 5534*n/5 - 7656289/5.
-(n + 2767)**2/5
Factor 4*q**2 + 16*q - 48.
4*(q - 2)*(q + 6)
Suppose 4*r**3/3 - 7*r**2 - 91*r/3 + 8 = 0. What is r?
-3, 1/4, 8
Factor c**4 - 2*c**3 - 319*c**2 - 1780*c + 2100.
(c - 21)*(c - 1)*(c + 10)**2
Find m such that m**5/2 + 20*m**4 - 42*m**3 + m**2 + 83*m/2 - 21 = 0.
-42, -1, 1
Determine u, given that u**2 + 55*u + 54 = 0.
-54, -1
Suppose -3*l**4 - 2280*l**3 - 428616*l**2 + 1741920*l - 1751088 = 0. Calculate l.
-382, 2
Factor 2*j**4/5 + 18*j**3/5 + 28*j**2/5 - 48*j/5.
2*j*(j - 1)*(j + 4)*(j + 6)/5
Let -5*k**3 + 715*k**2 - 25915*k + 25205 = 0. What is k?
1, 71
Factor 3*a**4 + 18*a**3 - 108*a**2 + 120*a.
3*a*(a - 2)**2*(a + 10)
Let 225*g**3 + 228*g**2 + 3*g = 0. What is g?
-1, -1/75, 0
Factor -4*m**2/3 - 6128*m - 7041072.
-4*(m + 2298)**2/3
Solve -3*x**5 + 21*x**4 - 15*x**3 - 21*x**2 + 18*x = 0 for x.
-1, 0, 1, 6
Suppose -b**2 + 5*b = 0. What is b?
0, 5
Let -g**3/10 + 4*g**2/5 - 6*g/5 = 0. Calculate g.
0, 2, 6
Factor -h**5/2 + 3*h**4 + 69*h**3/2 - 239*h**2 + 486*h - 324.
-(h - 9)*(h - 2)**3*(h + 9)/2
Factor 4*c**3 - 488*c**2 + 1436*c - 952.
4*(c - 119)*(c - 2)*(c - 1)
Factor -2*q**2 + 3736*q - 1744712.
-2*(q - 934)**2
Solve 3*m**5 + 18*m**4 - 102*m**3 - 324*m**2 + 1539*m - 1134 = 0 for m.
-7, -6, 1, 3
Let k**3 - 31*k**2 + 224*k + 256 = 0. Calculate k.
-1, 16
Factor i**3 - 17*i**2 - 18*i.
i*(i - 18)*(i + 1)
Solve 5*o**4 - 100*o**3 - 215*o**2 - 110*o = 0 for o.
-1, 0, 22
Determine h, given that 3*h**5/7 + 24*h**4/7 - 240*h**2/7 - 48*h/7 + 576/7 = 0.
-6, -4, -2, 2
Suppose -4*c**3/5 + 198*c**2 + 1498*c/5 - 996/5 = 0. What is c?
-2, 1/2, 249
Solve c**4/10 - 3*c**3/5 + 27*c/5 - 81/10 = 0 for c.
-3, 3
Factor -j**5/9 + j**4/9 + 29*j**3/9 - 5*j**2 - 24*j + 48.
-(j - 3)**3*(j + 4)**2/9
Solve 3*y**3/8 + 231*y**2/8 + 1293*y/8 + 1065/8 = 0.
-71, -5, -1
Factor 5*d**4 - 20*d**3 - 25*d**2 + 180*d - 180.
5*(d - 3)*(d - 2)**2*(d + 3)
Factor 11*l**3/3 + 19*l**2 + 76*l/3 + 4.
(l + 2)*(l + 3)*(11*l + 2)/3
Solve h**5/6 + 2*h**4 + 43*h**3/6 + 10*h**2 + 14*h/3 = 0.
-7, -2, -1, 0
Find w such that -w**2 + 73*w = 0.
0, 73
Factor k**3 + 489*k**2 + 79707*k + 4330747.
(k + 163)**3
Factor -19*p**2 + 17*p + 2.
-(p - 1)*(19*p + 2)
Suppose -14*h**4 - 360*h**3 + 1742*h**2 - 1728*h + 360 = 0. Calculate h.
-30, 2/7, 1, 3
Let -48*q**5 - 444*q**4 - 981*q**3 - 105*q**2/4 + 1650*q + 1125 = 0. Calculate q.
-6, -2, -5/4, 5/4
Factor 3*f**2/4 + 363*f/2 + 43923/4.
3*(f + 121)**2/4
Find z, given that -z**3/4 + 3*z/4 + 1/2 = 0.
-1, 2
Factor 2*p**2/15 + 54*p/5 - 164/15.
2*(p - 1)*(p + 82)/15
Factor 9*h**3/2 + 1965*h**2/2 + 107583*h/2 + 35643/2.
3*(h + 109)**2*(3*h + 1)/2
Solve k**3/2 + 2*k**2 - 14*k + 16 = 0.
-8, 2
Factor -l**2 + 144*l - 143.
-(l - 143)*(l - 1)
Factor o**5 - 16*o**4 + 15*o**3.
o**3*(o - 15)*(o - 1)
Determine o, given that 9*o**3 + 12*o**2 - 15*o - 6 = 0.
-2, -1/3, 1
Determine m, given that 2*m**4/7 - 116*m**3/7 - 2*m**2/7 + 116*m/7 = 0.
-1, 0, 1, 58
What is u in 12*u**3/7 + 26*u**2 + 146*u/7 - 340/7 = 0?
-85/6, -2, 1
Find f, given that 2*f**4/9 + 20*f**3/3 + 232*f**2/9 - 368*f + 576 = 0.
-18, 2, 4
Factor -v**5/10 + v**4/10 + 6*v**3/5.
-v**3*(v - 4)*(v + 3)/10
Factor -p**3/3 + 20*p**2 + 176*p + 1088/3.
-(p - 68)*(p + 4)**2/3
Find u such that u**2/5 - 584*u/5 + 85264/5 = 0.
292
Suppose -h**3/9 + 8*h**2/9 + 59*h/9 + 26/3 = 0. What is h?
-3, -2, 13
Factor 7*v**4/4 - 27*v**3/4 + 4*v**2 + 9*v - 8.
(v - 2)**2*(v - 1)*(7*v + 8)/4
Factor -5*p**2 + 10*p + 40.
-5*(p - 4)*(p + 2)
Factor -2*x**4 + 20*x**3 - 46*x**2 + 28*x.
-2*x*(x - 7)*(x - 2)*(x - 1)
Determine f so that 3*f**4 + 1656*f**3 + 342792*f**2 + 31536864*f + 1088021808 = 0.
-138
Solve -18*b**4/5 - 562*b**3/5 - 1148*b**2 - 19392*b/5 - 4032/5 = 0 for b.
-12, -7, -2/9
Solve 105*n**5 + 513*n**4 + 75*n**3 - 2097*n**2 - 1728*n - 324 = 0.
-3, -3/5, -2/7, 2
Let 3*t**2 - 48*t + 192 = 0. What is t?
8
Find l such that 2*l**2/5 - 14*l/5 - 12 = 0.
-3, 10
Factor 2*t**2/13 + 38*t/13 + 120/13.
2*(t + 4)*(t + 15)/13
Determine b so that -135*b**2 - 4330*b - 320 = 0.
-32, -2/27
Find y, given that 3*y**2 - 201*y + 2340 = 0.
15, 52
Factor 2*y**3/15 - 76*y**2/15 - 82*y/15 + 52/5.
2*(y - 39)*(y - 1)*(y + 2)/15
Let -2*f**2 + 112*f + 610 = 0. What is f?
-5, 61
Suppose -2*u**4 + 6*u**3 + 18*u**2 + 10*u = 0. Calculate u.
-1, 0, 5
What is o in -252*o**3/5 + 114*o**2 - 12*o/5 - 48 = 0?
-4/7, 5/6, 2
Let 4*o**2 + 108*o + 368 = 0. Calculate o.
-23, -4
Find m such that -4*m**3 + 172*m**2 + 356*m + 180 = 0.
-1, 45
Factor -k**3/8 + k**2/8 + k/4.
-k*(k - 2)*(k + 1)/8
Find y, given that 100*y**4 + 780*y**3 + 1576*y**2 + 912*y + 160 = 0.
-5, -2, -2/5
Suppose 2*v**2 - 948*v + 112338 = 0. Calculate v.
237
Factor 4*q**2 - 616*q + 1812.
4*(q - 151)*(q - 3)
Factor -162*c**4/11 - 3384*c**3/11 - 2912*c**2/11 - 640*c/11.
-2*c*(c + 20)*(9*c + 4)**2/11
Factor -2*q**4 + 22*q**3 - 66*q**2 + 18*q + 108.
-2*(q - 6)*(q - 3)**2*(q + 1)
Factor -2*m**2/5 - 36*m/5 + 126/5.
-2*(m - 3)*(m + 21)/5
Suppose 4*u**5 - 90*u**4 + 426*u**3 - 148*u**2 - 192*u = 0. What is u?
-1/2, 0, 1, 6, 16
Find u, given that 30*u**5 + 25*u**4 - 125*u**3 - 100*u**2 + 20*u = 0.
-2, -1, 0, 1/6, 2
Determine i so that -2*i**3 + 600*i + 4000 = 0.
-10, 20
Suppose -2*c**2/9 - 70*c/9 + 8 = 0. What is c?
-36, 1
Let g**4 - 4*g**3 - 21*g**2 + 100*g - 100 = 0. Calculate g.
-5, 2, 5
Let 4*i**2 + 948*i - 6832 = 0. Calculate i.
-244, 7
Determine v so that -12*v**3 - 112*v**2 - 36*v = 0.
-9, -1/3, 0
Suppose -15*y**3 + 100*y**2 - 55*y - 30 = 0. What is y?
-1/3, 1, 6
Solve -3*g**2 - 1593*g = 0 for g.
-531, 0
Find q such that -2*q**4/5 - 24*q**3/5 + 192*q**2/5 - 416*q/5 + 288/5 = 0.
-18, 2
Factor -s**3/3 + 127*s**2/3.
-s**2*(s - 127)/3
Factor 5*s**4 + 55*s**3 + 95*s**2 + 45*s.
5*s*(s + 1)**2*(s + 9)
Let -2*f**3/5 - 116*f**2/5 + 98*f - 372/5 = 0. Calculate f.
-62, 1, 3
Factor -5*y**4 + 90*y**3 - 300*y**2 - 1000*y.
-5*y*(y - 10)**2*(y + 2)
Factor 2*v**4/7 - 62*v**3/7 + 110*v**2/7 + 174*v/7.
2*v*(v - 29)*(v - 3)*(v + 1)/7
Let -2*g**4/7 - 44*g**3/7 - 114*g**2/7 + 8*g/7 + 152/7 = 0. Calculate g.
-19, -2, 1
Factor -2*y**2/3 - 14*y/3.
-2*y*(y + 7)/3
Factor -2*w**2/9 - 278*w/9.
-2*w*(w + 139)/9
Factor o**4 + 86*o**3 - 448*o**2 + 634*o - 273.
(o - 3)*(o - 1)**2*(o + 91)
Factor 2*f**4/11 - 192*f**3/11 - 390*f**2/11 - 196*f/11.
2*f*(f - 98)*(f + 1)**2/11
Factor -u**3/7 - 26*u**2/7 - 83*u/7 + 110/7.
-(u - 1)*(u + 5)*(u + 22)/7
Factor 2*n**4 - 16*n**3 + 24*n**2 + 64*n - 128.
2*(n - 4)**2*(n - 2)*(n + 2)
Suppose 5*w**3 + 572*w**2/3 + 5491*w/3 + 722/3 = 0. Calculate w.
-19, -2/15
Let 242*h**4 - 594*h**3 + 480*h**2 - 128*h = 0.