ate l.
-147, -1
Solve -33*f**5 + 331*f**4/2 - 599*f**3/2 + 471*f**2/2 - 139*f/2 + 1 = 0.
1/66, 1, 2
Factor -l**2/6 + 29*l/6 + 31/3.
-(l - 31)*(l + 2)/6
What is o in -8*o**2 + 9416*o - 2770658 = 0?
1177/2
Find d, given that d**3/4 - 61*d**2/2 - 759*d/4 - 288 = 0.
-3, 128
Let 5*l**5/3 - 85*l**4/3 + 275*l**3/3 - 65*l**2 = 0. What is l?
0, 1, 3, 13
Suppose -4*z**5 + 308*z**4 - 6724*z**3 + 47820*z**2 - 41400*z = 0. What is z?
0, 1, 15, 46
Solve -4*r**4 - 1120*r**3 - 117600*r**2 - 5488000*r - 96040000 = 0 for r.
-70
What is c in c**4/2 - 21*c**3 + 162*c**2 - 459*c + 891/2 = 0?
3, 33
Solve 2*o**3 + 170*o**2 + 3526*o - 3698 = 0.
-43, 1
Factor 5*u**3 + 220*u**2 + 2625*u + 4410.
5*(u + 2)*(u + 21)**2
Factor -4*o**3/5 - 196*o**2/5 - 464*o.
-4*o*(o + 20)*(o + 29)/5
Factor -4*q**3/9 - 4808*q**2/9 + 4820*q/3.
-4*q*(q - 3)*(q + 1205)/9
Factor -u**2/4 - 5*u/2 - 6.
-(u + 4)*(u + 6)/4
Find x, given that x**5 + 4*x**4 - 68*x**3 - 560*x**2 - 1472*x - 1280 = 0.
-4, -2, 10
Solve 7*x**5/4 - 139*x**4/2 - 481*x**3/2 - 287*x**2 - 557*x/4 - 43/2 = 0.
-1, -2/7, 43
Find s such that 14*s**4/9 - 76*s**3/3 + 274*s**2/9 - 20*s/3 = 0.
0, 2/7, 1, 15
Suppose -12*m**4 + 57*m**3 - 33*m**2 - 12*m = 0. What is m?
-1/4, 0, 1, 4
Factor -d**4/9 + 14*d**3/9 + 31*d**2/9 + 16*d/9.
-d*(d - 16)*(d + 1)**2/9
Factor c**3/6 - 55*c**2/6 + 107*c/6 - 53/6.
(c - 53)*(c - 1)**2/6
Factor -2*t**2 - 74*t - 680.
-2*(t + 17)*(t + 20)
Suppose -d**2 + 7*d = 0. Calculate d.
0, 7
Factor 2*l**3 + 2*l**2 - 18*l - 18.
2*(l - 3)*(l + 1)*(l + 3)
Factor 3*z**2 + 828*z.
3*z*(z + 276)
Factor 4*v**3 - 588*v**2 + 28812*v - 470596.
4*(v - 49)**3
Factor m**2/2 + 21*m/2 + 40.
(m + 5)*(m + 16)/2
Factor 6*h**2 + 546*h + 24843/2.
3*(2*h + 91)**2/2
Determine q so that 2*q**4 - 5464*q**3 + 3731912*q**2 = 0.
0, 1366
Factor 9*b**2/8 + 561*b/2 - 375/2.
3*(b + 250)*(3*b - 2)/8
Suppose 4*r**4 - 60*r**3 + 156*r**2 - 148*r + 48 = 0. Calculate r.
1, 12
Factor 5*v**3 - 217*v**2 + 686*v - 240.
(v - 40)*(v - 3)*(5*v - 2)
Suppose -2*w**4 + 28*w**3 - 48*w**2 - 252*w + 594 = 0. What is w?
-3, 3, 11
Let -5*k**4/2 + 14000*k**3 - 29400000*k**2 + 27440000000*k - 9604000000000 = 0. Calculate k.
1400
Suppose -2*j**3/9 + 104*j**2/9 - 614*j/9 - 80 = 0. Calculate j.
-1, 8, 45
Let 242*d**4/3 - 11*d**3 - 12*d**2 - 4*d/3 = 0. What is d?
-2/11, 0, 1/2
Factor 2*m**4 + 6*m**3 - 6*m**2 - 14*m + 12.
2*(m - 1)**2*(m + 2)*(m + 3)
Factor -w**2 - 110*w + 224.
-(w - 2)*(w + 112)
Solve -5*t**3 + 15*t + 10 = 0 for t.
-1, 2
What is v in -v**3 - 1780*v**2/9 - 9757*v + 2178 = 0?
-99, 2/9
Factor -5*v**3 - 46*v**2 + 95*v - 44.
-(v - 1)*(v + 11)*(5*v - 4)
Let h**3/5 + 741*h**2/5 - 1489*h/5 - 2229/5 = 0. What is h?
-743, -1, 3
Factor -4*g**2 - 72*g - 324.
-4*(g + 9)**2
Determine v, given that 28*v**5 + 148*v**4 - 296*v**3 - 2336*v**2 - 2432*v - 512 = 0.
-4, -1, -2/7, 4
Let 2*s**4/9 - 16*s**2/3 - 128*s/9 - 32/3 = 0. Calculate s.
-2, 6
Factor 2*k**2/9 - 2234*k/9 - 1492/3.
2*(k - 1119)*(k + 2)/9
Factor -4*b**3 + 240*b**2 + 1008*b + 1024.
-4*(b - 64)*(b + 2)**2
Determine f, given that 2*f**4 + 38*f**3 + 196*f**2 + 352*f + 192 = 0.
-12, -4, -2, -1
Determine u so that 8*u**4 - 4*u**3 - 44*u**2 + 40*u = 0.
-5/2, 0, 1, 2
Suppose 2*t**4/5 - 56*t**3/5 - 196*t**2/5 + 8232*t/5 + 43218/5 = 0. Calculate t.
-7, 21
Determine h, given that -4*h**2 - 244*h - 472 = 0.
-59, -2
Factor -5*r**2 - 180*r - 640.
-5*(r + 4)*(r + 32)
Factor 12*i**4 + 76*i**3 + 88*i**2 - 96*i.
4*i*(i + 3)*(i + 4)*(3*i - 2)
Let 2*q**2 - 70*q + 132 = 0. What is q?
2, 33
Suppose 34*j**2/11 - 52*j/11 - 86/11 = 0. What is j?
-1, 43/17
Let 294*j**2/5 + 1484*j/5 + 5618/15 = 0. What is j?
-53/21
Solve 4*u**2 - 2992*u - 2996 = 0.
-1, 749
Suppose -3*v**3/4 - 693*v**2/4 - 48177*v/4 - 887487/4 = 0. What is v?
-101, -29
Factor 3*i**5 - 18*i**3 - 24*i**2 - 9*i.
3*i*(i - 3)*(i + 1)**3
Factor -i**5/2 + 8*i**4 - 27*i**3 + 38*i**2 - 49*i/2 + 6.
-(i - 12)*(i - 1)**4/2
Suppose 4*h**3 + 2796*h**2 + 489996*h + 487204 = 0. Calculate h.
-349, -1
Suppose -4*o**4 + 24*o**3 - 4*o**2 - 96*o + 80 = 0. What is o?
-2, 1, 2, 5
Factor 3*s**5/7 - 24*s**4/7 - 36*s**3/7 + 66*s**2/7 + 129*s/7 + 54/7.
3*(s - 9)*(s - 2)*(s + 1)**3/7
Factor 2*d**3/3 + 152*d**2 + 11552*d + 877952/3.
2*(d + 76)**3/3
What is z in -2*z**3/5 + 564*z**2/5 - 558*z/5 - 1124/5 = 0?
-1, 2, 281
What is u in -3*u**2/4 + 69*u/4 + 216 = 0?
-9, 32
What is h in -35*h**5 + 690*h**4 - 1095*h**3 + 260*h**2 + 180*h = 0?
-2/7, 0, 1, 18
Let 2*o**5 - 58*o**4/3 - 124*o**3 + 56*o**2/3 + 272*o - 448/3 = 0. What is o?
-4, -2, 2/3, 1, 14
Factor -2*i**5 + 48*i**4 - 378*i**3 + 980*i**2.
-2*i**2*(i - 10)*(i - 7)**2
Factor -u**4 + 10*u**3 - 29*u**2 + 20*u.
-u*(u - 5)*(u - 4)*(u - 1)
Factor -4*u**2 + 1848*u + 1852.
-4*(u - 463)*(u + 1)
Find m such that -2*m**2/9 - 88*m/3 - 968 = 0.
-66
Solve 2*a**5 - 16*a**4 + 24*a**3 = 0 for a.
0, 2, 6
Suppose 45*u**4 - 1839*u**3 - 4071*u**2 - 2445*u - 258 = 0. What is u?
-1, -2/15, 43
Factor 3*b**3 + 1398*b**2 + 161460*b - 328536.
3*(b - 2)*(b + 234)**2
Find l such that 6*l**5 + 20*l**4 - 18*l**3 - 8*l**2 = 0.
-4, -1/3, 0, 1
Find h, given that 2*h**2/17 - 100*h/17 - 208/17 = 0.
-2, 52
Factor 4*l**3/3 - 40*l**2/3 - 2324*l - 30576.
4*(l - 52)*(l + 21)**2/3
Factor -i**2 - i + 6.
-(i - 2)*(i + 3)
Factor -33*k**2 + 105*k - 18.
-3*(k - 3)*(11*k - 2)
Solve -4*x**2 - 532*x = 0.
-133, 0
Determine d so that -3*d**4/2 - 164*d**3 - 1381*d**2/2 - 842*d - 210 = 0.
-105, -2, -1/3
Factor -4*x**4 + 100*x**3 + 4*x**2 - 100*x.
-4*x*(x - 25)*(x - 1)*(x + 1)
Solve -1692*w**2 + 5068*w + 24 = 0 for w.
-2/423, 3
What is c in -27*c**4/2 - 3897*c**3/4 - 150*c**2 + 3471*c/4 + 270 = 0?
-72, -5/6, -1/3, 1
Let -2*a**3/3 + 7220*a**2/3 - 6523264*a/3 + 13017664/3 = 0. What is a?
2, 1804
Solve 3*i**2 + 6996*i + 4078668 = 0 for i.
-1166
Determine v so that -v**4/11 - 15*v**3/11 - 65*v**2/11 - 105*v/11 - 54/11 = 0.
-9, -3, -2, -1
Solve 6*b**4 + 1269*b**3 - 3198*b**2 + 2565*b - 642 = 0 for b.
-214, 1/2, 1
Factor -5*d**2 + 500*d - 12500.
-5*(d - 50)**2
Suppose -n**3/2 - 45*n**2/2 - 156*n - 296 = 0. What is n?
-37, -4
Determine x, given that 56*x**3/9 + 86*x**2/9 - 340*x/9 + 22 = 0.
-99/28, 1
Solve 2*p**4 - 2*p**3 - 12*p**2 + 8*p + 16 = 0 for p.
-2, -1, 2
Determine y, given that 2*y**4/5 - 12*y**3/5 + 8*y**2/5 + 48*y/5 - 64/5 = 0.
-2, 2, 4
Solve 4*v**4 - 8*v**3 + 8*v - 4 = 0.
-1, 1
Let -21*b**3 + 351*b**2 + 7410*b + 2088 = 0. What is b?
-12, -2/7, 29
Solve -4*j**4 - 124*j**3 = 0 for j.
-31, 0
Solve q**3/2 + 78*q**2 + 4056*q + 70304 = 0 for q.
-52
Let -4*q**3 + 152*q**2 - 1280*q - 3200 = 0. Calculate q.
-2, 20
Factor -3*v**4/4 - 1323*v**3/2 - 580791*v**2/4 + 292383*v - 146523.
-3*(v - 1)**2*(v + 442)**2/4
Find o, given that 2*o**2/25 - 2904*o/25 - 2906/25 = 0.
-1, 1453
Suppose -2*v**3/7 - 30*v**2 - 1050*v - 12250 = 0. Calculate v.
-35
Factor -z**2/4 + 3*z.
-z*(z - 12)/4
Factor -d**2/5 - 28*d/5 - 27/5.
-(d + 1)*(d + 27)/5
Let -2*r**4/9 - 124*r**3 - 17298*r**2 = 0. Calculate r.
-279, 0
Find z such that z**5 - 22*z**4 + 141*z**3 - 332*z**2 + 260*z = 0.
0, 2, 5, 13
Factor -c**2 - 191*c + 192.
-(c - 1)*(c + 192)
Factor -r**2/3 - 616*r/3 + 617/3.
-(r - 1)*(r + 617)/3
Determine t, given that 231*t**3/2 + 228*t**2 + 219*t/2 - 3 = 0.
-1, 2/77
Let -3*a**3/7 + 9*a**2 + 3*a/7 - 9 = 0. Calculate a.
-1, 1, 21
Factor -z**2 + 8*z + 9.
-(z - 9)*(z + 1)
Determine d, given that -5*d**3 + 10*d**2 + 600*d = 0.
-10, 0, 12
Factor -2*b**2 - 134*b.
-2*b*(b + 67)
Solve 4*f**5/3 - 356*f**4/3 + 352*f**3/3 = 0.
0, 1, 88
Determine n, given that 2*n**4 + 78*n**3 + 846*n**2 + 2530*n = 0.
-23, -11, -5, 0
Factor 4*t**3 - 276*t**2 + 2460*t + 87412.
4*(t - 41)**2*(t + 13)
Determine o so that 3*o**4 - 33*o**3 + 69*o**2 + 33*o - 72 = 0.
-1, 1, 3, 8
Factor 2*w**4/15 - 118*w**3/15 + 1798*w**2/15 - 1682*w/15.
2*w*(w - 29)**2*(w - 1)/15
Find q such that -q**3/5 + 376*q**2/5 - 35344*q/5 = 0.
0, 188
Factor -u**5/12 - u**4/2 - u**3/6 + 5*u**2/3 + 9*u/4 + 5/6.
-(u - 2)*(u + 1)**3*(u + 5)/12
Find h, given that -2*h**2 + 60*h + 128 = 0.
-2, 32
Find k, given that -2*k**2 - 804*k - 80802 = 0.
-201
Factor 4*n**3/3 + 16*n**2/3 - 20*n/3.
4*n*(n - 1)*(n + 5)/3
Factor 4*b**4 - 288*b**3 + 828*b**2.
4*b**2*(b - 69)*(b - 3)
Determine y so that 5*y**3 + 280*y**2 + 4345*y + 20570 = 0.
-34, -11
Determine q so that 4*q**5/5 + 44*q**4/5 + 192*q**3/5 + 416*q**2/5 