3.
(b + 2)**2*(b + 463)/6
Determine i, given that -i**2/6 - 11*i/3 - 7/2 = 0.
-21, -1
Suppose s**2 - 47*s + 370 = 0. Calculate s.
10, 37
Suppose -2*o**4/17 - 236*o**3/17 + 722*o**2/17 - 484*o/17 = 0. Calculate o.
-121, 0, 1, 2
Factor -n**4/7 + 10*n**3/7 + 24*n**2/7.
-n**2*(n - 12)*(n + 2)/7
Let -5*n**5 - 755*n**4 - 30335*n**3 - 139085*n**2 - 216080*n - 106580 = 0. Calculate n.
-73, -2, -1
Factor -t**4 - 73*t**3 - 1293*t**2 + 1517*t + 2738.
-(t - 2)*(t + 1)*(t + 37)**2
Factor -2*p**4/5 + 162*p**3/5 - 3198*p**2/5 - 3362*p/5.
-2*p*(p - 41)**2*(p + 1)/5
Factor -3*q**2 + 648*q - 1284.
-3*(q - 214)*(q - 2)
Find s such that 3*s**2 - 954*s + 75843 = 0.
159
Find w, given that 2*w**4 + 272*w**3 - 828*w**2 + 832*w - 278 = 0.
-139, 1
Factor -4*a**4/3 + 92*a**3 - 272*a**2/3.
-4*a**2*(a - 68)*(a - 1)/3
Factor -n**5/5 - n**4 - 6*n**3/5 + 2*n**2/5 + 7*n/5 + 3/5.
-(n - 1)*(n + 1)**3*(n + 3)/5
Suppose 2*f**3 + 362*f**2 + 16198*f - 16562 = 0. What is f?
-91, 1
What is h in h**5/4 + 11*h**4 + 81*h**3/4 - 65*h**2/2 - 41*h + 42 = 0?
-42, -2, 1
What is k in -k**3 - 126*k**2 - 2448*k = 0?
-102, -24, 0
Find y, given that 5*y**5 + 25*y**4 + 5*y**3 - 105*y**2 - 90*y = 0.
-3, -1, 0, 2
Factor 23*b**2 - 619*b - 54.
(b - 27)*(23*b + 2)
Factor c**2 - 18*c.
c*(c - 18)
Determine b, given that 14*b**4/3 - 52*b**3/3 + 26*b**2/3 + 4*b = 0.
-2/7, 0, 1, 3
Factor -4*u**3 + 1492*u**2 + 2996*u + 1500.
-4*(u - 375)*(u + 1)**2
Factor -5*b**2 - 305*b - 4200.
-5*(b + 21)*(b + 40)
Determine l so that l**4/8 + 24*l**3 + 4511*l**2/4 - 2328*l + 9409/8 = 0.
-97, 1
Let -v**3/2 + v/2 = 0. Calculate v.
-1, 0, 1
Factor 4*o**2 + 44*o + 72.
4*(o + 2)*(o + 9)
Let -15*i**4 + 20*i**3 + 15*i**2 - 20*i = 0. Calculate i.
-1, 0, 1, 4/3
Factor 2*q**2/7 + 164*q/7 - 688/7.
2*(q - 4)*(q + 86)/7
Factor -2*y**2 - 306*y + 5040.
-2*(y - 15)*(y + 168)
Factor -2*i**3/17 + 6*i**2/17 + 50*i/17 + 42/17.
-2*(i - 7)*(i + 1)*(i + 3)/17
Solve -3*b**2/4 - 9*b + 1767/4 = 0 for b.
-31, 19
Suppose 6*d**5/5 + 51*d**4/5 + 99*d**3/5 + 51*d**2/5 - 21*d/5 - 18/5 = 0. Calculate d.
-6, -1, 1/2
Factor 5*h**3/4 + 25*h**2/4 + 5*h.
5*h*(h + 1)*(h + 4)/4
Factor -2*u**4/9 - 320*u**3/9 - 208*u**2 - 3712*u/9 - 2464/9.
-2*(u + 2)**3*(u + 154)/9
Factor -13*h**4/5 + 12*h**3/5.
-h**3*(13*h - 12)/5
Let 2*a**3/13 - 122*a**2/13 - 2*a/13 + 122/13 = 0. What is a?
-1, 1, 61
Find h such that 4*h**4 + 228*h**3 + 1632*h**2 + 3136*h = 0.
-49, -4, 0
Factor -35*p**3 + 395*p**2 + 310*p - 120.
-5*(p - 12)*(p + 1)*(7*p - 2)
Factor -12*v**3 - 107*v**2 - 90*v - 16.
-(v + 8)*(3*v + 2)*(4*v + 1)
Factor 2880*b**5 + 8400*b**4 + 7925*b**3 + 2175*b**2 - 225*b + 5.
5*(b + 1)**3*(24*b - 1)**2
Factor 2*q**2/13 - 70*q/13 - 148/13.
2*(q - 37)*(q + 2)/13
Find n, given that -n**3/4 + 599*n**2/4 - 22350*n - 22500 = 0.
-1, 300
Factor -10*m**3 - 38*m**2 + 128*m - 24.
-2*(m - 2)*(m + 6)*(5*m - 1)
Factor -q**3/2 + 59*q**2 + 119*q/2.
-q*(q - 119)*(q + 1)/2
Factor -2*v**3/3 + 5*v**2/3 - 4*v/3 + 1/3.
-(v - 1)**2*(2*v - 1)/3
What is l in 3*l**2 + 1584*l + 209088 = 0?
-264
Factor 5*g**2 - 1020*g + 8775.
5*(g - 195)*(g - 9)
Suppose -z**5/6 - 529*z**4/6 + 1063*z**3/3 - 1597*z**2/3 + 2131*z/6 - 533/6 = 0. Calculate z.
-533, 1
Find a, given that -3*a**5/4 - 57*a**4/4 - 177*a**3/2 - 207*a**2 - 162*a = 0.
-9, -6, -2, 0
Determine b, given that 20*b**5 - 152*b**4 + 416*b**3 - 448*b**2 + 64*b + 128 = 0.
-2/5, 2
Let -2*u**5/11 + 50*u**4/11 - 284*u**3/11 - 388*u**2/11 + 26*u + 338/11 = 0. What is u?
-1, 1, 13
Determine l, given that -4*l**4 + 28*l**3 - 56*l**2 + 32*l = 0.
0, 1, 2, 4
Determine u so that -5*u**3 + 10*u**2 + 20*u - 40 = 0.
-2, 2
Solve -3*f**2/7 + 57*f/7 = 0 for f.
0, 19
Let -3*s**3/4 - 63*s**2/4 - 54*s + 324 = 0. Calculate s.
-12, 3
Factor 4*f**4 - 12*f**3 - 20*f**2 + 12*f + 16.
4*(f - 4)*(f - 1)*(f + 1)**2
Factor -2*h**2/3 - 4*h/3 - 2/3.
-2*(h + 1)**2/3
Suppose c**2/3 - 61*c/3 + 110 = 0. What is c?
6, 55
Determine f so that 5*f**2 - 175*f + 170 = 0.
1, 34
Find z such that -z**5 - 35*z**4 - 174*z**3 + 22*z**2 + 623*z - 435 = 0.
-29, -5, -3, 1
Suppose 2*q**3/7 - 66*q**2/7 + 64*q - 384/7 = 0. What is q?
1, 8, 24
Factor -4*l**3 - 316*l**2 - 912*l.
-4*l*(l + 3)*(l + 76)
Suppose -2*k**2 + 1292*k - 2576 = 0. Calculate k.
2, 644
Determine p, given that -26*p**3/7 - 13060*p**2/7 - 1642042*p/7 - 504008/7 = 0.
-251, -4/13
Factor 5*y**4 - 145*y**3 - 810*y**2 - 1340*y - 680.
5*(y - 34)*(y + 1)*(y + 2)**2
Determine n so that 6*n**4 - 170*n**3 - 346*n**2/3 - 58*n/3 = 0.
-1/3, 0, 29
Factor 5*c**3 - 65*c**2 - 80*c + 140.
5*(c - 14)*(c - 1)*(c + 2)
Find y, given that 3*y**3/2 + 18*y**2 + 72*y + 96 = 0.
-4
Solve 4*u**2 + 16680*u + 16676 = 0.
-4169, -1
Determine g so that -g**2/3 - 1502*g/3 - 564001/3 = 0.
-751
Factor -2*b**4/3 - 4*b**3/3 + 2*b**2.
-2*b**2*(b - 1)*(b + 3)/3
Solve -20*r**5/9 + 14*r**4/9 + 14*r**3 - 44*r**2/9 - 184*r/9 - 16/3 = 0 for r.
-2, -1, -3/10, 2
Find c such that 3*c**4 - 93*c**3 + 333*c**2 - 243*c = 0.
0, 1, 3, 27
Let -5*g**2 - 3280*g - 3275 = 0. What is g?
-655, -1
Factor 4*j**2 - 32*j - 80.
4*(j - 10)*(j + 2)
Solve 3*g**3/4 + 45*g**2/4 + 141*g/4 + 99/4 = 0.
-11, -3, -1
Factor -3*y**3/7 - 69*y**2/7 + 21*y - 75/7.
-3*(y - 1)**2*(y + 25)/7
Factor -l**4 - 7*l**3 + l**2 + 7*l.
-l*(l - 1)*(l + 1)*(l + 7)
Factor j**4/4 + 2*j**3 + 7*j**2/4.
j**2*(j + 1)*(j + 7)/4
Solve -5*c**3 - 385*c**2 - 1770*c + 2160 = 0.
-72, -6, 1
Factor -q**4/2 - 3*q**3/2 - 3*q**2/2 - q/2.
-q*(q + 1)**3/2
Let 75*h**5 + 1110*h**4 + 8703*h**3/4 - 16275*h**2/4 + 744*h - 36 = 0. What is h?
-12, -4, 1/10, 1
Factor -3*w**4 - 12*w**3 + 33*w**2 - 18*w.
-3*w*(w - 1)**2*(w + 6)
Determine j so that -2*j**4/9 + 4*j**3 - 160*j**2/9 - 4*j + 18 = 0.
-1, 1, 9
Solve -k**3 + 2*k**2 + 65*k + 150 = 0 for k.
-5, -3, 10
Solve y**4 - 19*y**3 + 28*y**2 + 624*y + 576 = 0.
-4, -1, 12
Factor -4*f**3 + 1544*f**2 + 4*f - 1544.
-4*(f - 386)*(f - 1)*(f + 1)
Let -4*k**4 - 252*k**3 - 3280*k**2 + 22032*k - 18496 = 0. What is k?
-34, 1, 4
Factor -125*z**3 + 49300*z**2 - 19705*z + 1970.
-5*(z - 394)*(5*z - 1)**2
Suppose -81*l**3/2 - 6201*l**2/2 + 1384*l - 154 = 0. What is l?
-77, 2/9
What is c in -c**5 - 7*c**4/3 + 55*c**3/3 - 65*c**2/3 + 8*c/3 + 4 = 0?
-6, -1/3, 1, 2
Suppose -2*u**5/5 - 26*u**4/5 - 38*u**3/5 + 82*u**2/5 + 184*u/5 + 88/5 = 0. Calculate u.
-11, -2, -1, 2
What is m in 9*m**4/5 - 822*m**3/5 - 447*m**2 - 1968*m/5 - 564/5 = 0?
-1, -2/3, 94
Let -48*k**3 - 6984*k**2 + 3501*k - 438 = 0. What is k?
-146, 1/4
Determine w, given that 2*w**5 + 78*w**4 + 196*w**3 - 720*w**2 = 0.
-36, -5, 0, 2
Factor 2*u**2 + 14*u - 36.
2*(u - 2)*(u + 9)
Solve -4*n**4 + 28*n**3 + 484*n**2 - 28*n - 480 = 0.
-8, -1, 1, 15
Suppose s**2 - 15*s + 14 = 0. What is s?
1, 14
Let 4*m**5 - 144*m**4 - 4084*m**3 - 22256*m**2 + 4080*m + 22400 = 0. Calculate m.
-10, -1, 1, 56
Factor -4*z**4 + 1396*z**3 - 12348*z**2 + 36828*z - 36720.
-4*(z - 340)*(z - 3)**3
Factor 2*y**3/7 - 20*y**2/7 + 34*y/7 - 16/7.
2*(y - 8)*(y - 1)**2/7
What is c in c**3/9 + 67*c**2/9 - 137*c/9 + 23/3 = 0?
-69, 1
Determine t, given that 5*t**3 - 1940*t**2 + 3865*t - 1930 = 0.
1, 386
Factor 3*c**2/5 - 15*c + 72/5.
3*(c - 24)*(c - 1)/5
Factor 3*c**4 + 64*c**3 + 271*c**2 - 210*c.
c*(c + 7)*(c + 15)*(3*c - 2)
Factor f**4/4 - 5*f**3 + 59*f**2/2 - 45*f + 81/4.
(f - 9)**2*(f - 1)**2/4
Solve 7*z**5/4 - 41*z**4/4 - 3*z**3 + 65*z**2 + 8*z - 48 = 0.
-2, -1, 6/7, 4
Factor 9*g**3 + 24*g**2 - 135*g - 150.
3*(g + 1)*(g + 5)*(3*g - 10)
Find n, given that -4*n**5 - 32*n**4 - 96*n**3 - 136*n**2 - 92*n - 24 = 0.
-3, -2, -1
What is a in 2*a**3/9 - 8*a**2 + 130*a/9 + 68/3 = 0?
-1, 3, 34
Suppose -6*m**5 + 122*m**4/5 - 164*m**3/5 + 88*m**2/5 - 16*m/5 = 0. Calculate m.
0, 2/5, 2/3, 1, 2
Factor 2*t**2 + 276*t + 9522.
2*(t + 69)**2
Factor -2*i**5/3 + 20*i**4/3 + 16*i**3.
-2*i**3*(i - 12)*(i + 2)/3
Factor 2*h**3/7 + 40*h**2/7 - 242*h/7 + 200/7.
2*(h - 4)*(h - 1)*(h + 25)/7
Determine j so that -3*j**4 + 51*j**3 - 48*j**2 = 0.
0, 1, 16
Determine x so that 3*x**3 + 15*x**2 - 24*x - 36 = 0.
-6, -1, 2
Suppose 8*n**5/5 - 86*n**4/5 - 222*n**3/5 - 154*n**2/5 - 26*n/5 = 0. What is n?
-1, -1/4, 0, 13
Factor -k**2 - 18548*k - 86007076.
-(k + 9274)**2
Factor 356*j**3 - 24200*j**2 + 410992*j + 9248.
4*(j - 34)**2*(89*j + 2)
Solve -2*v**2/5 + 26*v/5 - 12 = 0.
3, 10
Factor 3*k**3 + 540*k**2 - 2196*k + 2208.
3*(k - 2)**2*(k + 184)
Solve -2*j