5
Factor t**4 - 35*t**3 + 212*t**2 - 460*t + 336.
(t - 28)*(t - 3)*(t - 2)**2
Find t, given that 15*t**5 + 35103*t**4 - 2080848*t**3/5 + 1580412*t**2/5 - 310464*t/5 = 0.
-2352, 0, 2/5, 11
Determine r, given that -r**3 - 1460*r**2 - 531437*r + 1068722 = 0.
-731, 2
Factor -c**2 + 67923*c - 135842.
-(c - 67921)*(c - 2)
Determine m, given that 5*m**5 - 945*m**4 + 35955*m**3 + 815785*m**2 + 4344540*m + 5728860 = 0.
-9, -6, -2, 103
Factor l**2 - 1479*l + 11768.
(l - 1471)*(l - 8)
Find z, given that -2*z**5/11 + 74*z**4/11 + 92*z**3 - 52128*z**2/11 - 20736*z/11 + 718848 = 0.
-22, -13, 24
Solve -o**2 + 505*o + 35154 = 0.
-62, 567
Suppose -14*x**4 - 9160*x**3 - 394168*x**2 - 111872*x = 0. What is x?
-608, -46, -2/7, 0
What is h in 5*h**2/2 - 2199*h/2 - 220 = 0?
-1/5, 440
Solve -d**4/4 - 6264*d**3 - 12527*d**2 = 0 for d.
-25054, -2, 0
Factor 5*k**3 + 9295*k**2 + 129390*k + 442800.
5*(k + 6)*(k + 8)*(k + 1845)
Factor 2*b**2 - 2996*b + 402002.
2*(b - 1349)*(b - 149)
Factor 3*s**2 - 414*s + 13515.
3*(s - 85)*(s - 53)
Factor h**3/8 - 89*h**2/8 - 785*h/8 + 873/8.
(h - 97)*(h - 1)*(h + 9)/8
Find p such that 2*p**2/11 - 618*p/11 + 20596/11 = 0.
38, 271
Determine n, given that -n**3/7 + 4217*n**2/7 + 33800*n/7 = 0.
-8, 0, 4225
Let -2*y**3 + 23758*y**2 - 70898550*y + 2036126250 = 0. What is y?
29, 5925
Factor -4*h**2 - 129036*h + 129040.
-4*(h - 1)*(h + 32260)
Factor -5*x**3 + 735*x**2 - 15250*x.
-5*x*(x - 122)*(x - 25)
Factor -a**5 - 62*a**4 - 881*a**3 + 3008*a**2 + 15360*a.
-a*(a - 5)*(a + 3)*(a + 32)**2
Solve -i**2/3 + 598*i - 3584/3 = 0 for i.
2, 1792
Determine b so that 21*b**5/5 - 290907*b**4/5 + 1008148218*b**3/5 - 4745820384*b**2/5 - 287650656*b = 0.
-2/7, 0, 5, 6924
Factor -5*j**4 + 1115*j**3.
-5*j**3*(j - 223)
Factor -f**3 - 166*f**2 + 2315*f - 2148.
-(f - 12)*(f - 1)*(f + 179)
Determine a, given that 2*a**2/9 + 304*a/3 - 1832/9 = 0.
-458, 2
Determine r so that 3*r**5 - 57*r**4 + 315*r**3 - 591*r**2 + 330*r = 0.
0, 1, 2, 5, 11
Factor 5*c**2 + 323095*c + 4199390.
5*(c + 13)*(c + 64606)
Determine r so that -7*r**5/5 + 177*r**4/5 - 1373*r**3/5 + 3227*r**2/5 - 2508*r/5 + 484/5 = 0.
2/7, 1, 2, 11
Factor 111*g**2 + 2736*g + 10905.
3*(g + 5)*(37*g + 727)
Find t, given that 3*t**4 - 3008*t**3 - 1007*t**2 + 4012*t = 0.
-4/3, 0, 1, 1003
Suppose -2*v**5/13 - 142*v**4/13 - 766*v**3/13 + 1006*v**2/13 + 6312*v/13 + 360 = 0. What is v?
-65, -6, -2, -1, 3
Let 4*n**3 + 1124*n**2 + 46896*n + 503280 = 0. Calculate n.
-233, -30, -18
Let 5*h**2 + 2980*h - 8985 = 0. Calculate h.
-599, 3
Factor s**3/6 - 1349*s**2/2 + 657140*s + 154891400/3.
(s - 2060)**2*(s + 73)/6
Factor 5*t**3 - 165*t**2 + 1435*t - 1275.
5*(t - 17)*(t - 15)*(t - 1)
Let 3*g**4 - 531*g**3 - 44847*g**2 - 793881*g = 0. What is g?
-33, 0, 243
Determine u, given that -4*u**3/3 + 227*u**2 + 4786*u/3 - 413 = 0.
-7, 1/4, 177
Factor -2*d**2 - 163916*d + 163918.
-2*(d - 1)*(d + 81959)
Let 5*j**5 + 655*j**4 + 11685*j**3 + 65745*j**2 + 89910*j = 0. What is j?
-111, -9, -2, 0
Factor -3*u**3 - 3930*u**2 - 46761*u - 42834.
-3*(u + 1)*(u + 11)*(u + 1298)
Let 2*g**4/7 + 208*g**3/7 - 3932*g**2/7 + 3104*g - 5082 = 0. Calculate g.
-121, 3, 7
Suppose -62*d**2/3 - 95*d/3 + 58/3 = 0. What is d?
-2, 29/62
What is l in -7398*l**4 - 24666*l**3 - 9884*l**2 + 19720*l + 16 = 0?
-2, -1/1233, 2/3
Factor j**3/2 + 25453*j**2/2 - 12728*j - 25454.
(j - 2)*(j + 1)*(j + 25454)/2
Solve -25*b**4/7 - 2445*b**3/7 - 53094*b**2/7 - 41308*b/7 - 8184/7 = 0.
-66, -31, -2/5
Let 194*m**5/5 + 1748*m**4/5 - 12786*m**3/5 + 10732*m**2/5 + 112*m/5 = 0. Calculate m.
-14, -1/97, 0, 1, 4
Let d**2 - 88*d - 2553 = 0. Calculate d.
-23, 111
Let y**3/3 - 509*y**2/3 - 2120*y + 18756 = 0. Calculate y.
-18, 6, 521
Determine h so that 12*h**5 + 34*h**4 - 544*h**3 + 1022*h**2 - 668*h + 144 = 0.
-9, 1/2, 2/3, 1, 4
Factor -2*v**3 + 534*v**2 + 124268*v - 124800.
-2*(v - 416)*(v - 1)*(v + 150)
Let -m**4/2 + 534*m**3 - 2131*m**2/2 - 534*m + 1066 = 0. What is m?
-1, 1, 2, 1066
What is o in o**5/5 + 6*o**4 - 73*o**3/5 - 54*o**2 + 576*o/5 = 0?
-32, -3, 0, 2, 3
Factor -v**4/4 - 8897*v**3/4 + 1595655*v**2/4 - 94554403*v/4 + 931804523/2.
-(v - 59)**3*(v + 9074)/4
Factor -4*z**2 + 748308*z + 748312.
-4*(z - 187078)*(z + 1)
Factor -3*g**2 + 3669*g + 51954.
-3*(g - 1237)*(g + 14)
Let 2*j**3/7 + 190*j**2/7 + 4128*j/7 - 4320/7 = 0. What is j?
-60, -36, 1
Factor 5*z**4 - 285*z**3 + 3885*z**2 - 6935*z + 3330.
5*(z - 37)*(z - 18)*(z - 1)**2
Suppose -k**4 + 184*k**3 - 8088*k**2 - 34592*k - 35344 = 0. What is k?
-2, 94
What is t in -2*t**2 + 36704*t - 168397952 = 0?
9176
Find g such that -4*g**3 + 476*g**2 - 14524*g + 79716 = 0.
7, 39, 73
Factor -4*s**2 + 3704*s + 11148.
-4*(s - 929)*(s + 3)
Factor -t**2/9 + 176*t/3.
-t*(t - 528)/9
Suppose j**4/6 - 655*j**3/6 + 17821*j**2 + 54448*j/3 - 107584/3 = 0. Calculate j.
-2, 1, 328
Let 12*l**3 + 4412*l**2 - 32972*l + 10500 = 0. Calculate l.
-375, 1/3, 7
Factor -3*f**2/7 - 143286*f/7 - 1710906483/7.
-3*(f + 23881)**2/7
Factor -2*o**3/3 + 6*o**2 + 1844*o/3 + 1200.
-2*(o - 36)*(o + 2)*(o + 25)/3
Let -2*i**4/3 + 286*i**3 + 4118*i**2 + 22126*i/3 + 3544 = 0. Calculate i.
-12, -1, 443
Factor r**4/4 + 361*r**3/2 - 3643*r**2/4 - 1442*r + 8724.
(r - 4)**2*(r + 3)*(r + 727)/4
Find g such that -g**2/2 + 9162*g - 420923/2 = 0.
23, 18301
Find n, given that -64*n**5 + 22480*n**4 - 27244*n**3 - 266609*n**2 + 704522*n - 480200 = 0.
-4, 7/4, 350
Let 3*q**3 + 60759*q**2 = 0. Calculate q.
-20253, 0
Find k such that -2*k**3/9 + 321620*k**2/9 - 12930249664*k/9 + 25859212864/9 = 0.
2, 80404
Solve d**4/7 + 404*d**3/7 + 7866*d**2 + 3142260*d/7 + 64716273/7 = 0 for d.
-197, -69
Factor -x**2/4 + 89185*x/4 + 89187/2.
-(x - 89187)*(x + 2)/4
Factor 4*t**2 + 18459*t - 4615.
(t + 4615)*(4*t - 1)
Determine t, given that 2*t**5/17 + 76*t**4/17 - 636*t**3/17 - 224*t**2/17 + 2042*t/17 - 1260/17 = 0.
-45, -2, 1, 7
Factor -5*m**2 - 1545*m + 4680.
-5*(m - 3)*(m + 312)
Factor -4*l**3 + 416*l**2 + 23516*l + 259896.
-4*(l - 147)*(l + 17)*(l + 26)
Factor -3*a**4 - 150*a**3 + 4749*a**2 + 165600*a - 3656448.
-3*(a - 23)**2*(a + 48)**2
Find b, given that -2*b**5 + 15*b**4 + 166*b**3 + 219*b**2 + 70*b = 0.
-5, -1, -1/2, 0, 14
Solve -z**3/5 + 189*z**2/5 - 3506*z/5 - 3696/5 = 0.
-1, 22, 168
Find r, given that -2*r**2 + 1252*r - 62810 = 0.
55, 571
Suppose -y**2 - 46485*y - 46484 = 0. What is y?
-46484, -1
What is a in -4*a**3 + 1104*a**2 + 15084*a - 16184 = 0?
-14, 1, 289
Factor 3*b**5/4 + 2187*b**4/4 + 397485*b**3/4 - 399675*b**2/4.
3*b**2*(b - 1)*(b + 365)**2/4
Determine u, given that u**2/4 - 39777*u/2 + 1582209729/4 = 0.
39777
Suppose 5*l**2 + 3655*l = 0. Calculate l.
-731, 0
Factor 6225*l**2/2 - 5981*l/2 - 122.
(l - 1)*(6225*l + 244)/2
Find u, given that -2*u**4/9 + 326*u**3/9 - 1304*u**2 - 126248*u/9 - 295840/9 = 0.
-5, -4, 86
Factor -c**5/8 - 73459*c**4/8 - 440727*c**3/8 - 661077*c**2/8.
-c**2*(c + 3)**2*(c + 73453)/8
What is i in 4*i**5 - 376*i**4 - 5196*i**3 + 11504*i**2 - 5936*i = 0?
-14, 0, 1, 106
Suppose -a**2/2 + 2775*a/2 + 2777 = 0. Calculate a.
-2, 2777
Suppose 8*b**5 + 429658*b**4 + 107414*b**3 = 0. Calculate b.
-53707, -1/4, 0
Suppose -3*d**3/5 + 5601*d**2/5 + 5604*d/5 = 0. What is d?
-1, 0, 1868
Find d such that -d**5/6 + 205*d**4/6 - 1589*d**3 - 50333*d**2/3 - 130433*d/6 + 80143/2 = 0.
-7, -3, 1, 107
Suppose -35*j**3 - 87930*j**2 + 62835*j + 25130 = 0. Calculate j.
-2513, -2/7, 1
Factor 2*z**2/3 - 152*z + 21190/3.
2*(z - 163)*(z - 65)/3
Determine v so that -592*v**4 - 294*v**3 + v**2 = 0.
-1/2, 0, 1/296
Find w such that 9*w**5/4 + 45*w**4/2 + 83*w**3 + 285*w**2/2 + 459*w/4 + 35 = 0.
-4, -7/3, -5/3, -1
Solve -2*a**5 - 22*a**4/3 + 14*a**3 + 2*a**2 - 20*a/3 = 0.
-5, -2/3, 0, 1
Factor 2*w**2/3 - 75076*w/3 + 704550722/3.
2*(w - 18769)**2/3
Solve -t**4/8 + 12045*t**3/2 + 24091*t**2/4 - 12045*t/2 - 48181/8 = 0.
-1, 1, 48181
Let -4*b**5 + 360*b**4 - 6836*b**3 - 62256*b**2 + 142848*b + 774144 = 0. What is b?
-7, -3, 4, 48
Find y such that 2*y**5/15 - 96*y**4/5 + 13012*y**3/15 - 80976*y**2/5 + 570654*y/5 - 98784 = 0.
1, 21, 80
Factor 3*s**3 - 324*s**2 - 12*s + 1296.
3*(s - 108)*(s - 2)*(s + 2)
Let -5*u**4 + 1345*u**3 + 9580*u**2 + 22020*u + 16560 = 0. Calculate u.
-3, -2, 276
Factor x**4/3 + 1379*x**3/3 + 159615*x**2 + 789363*x + 943938.
(x + 2)*(x + 3)*(x + 687)**2/3
Factor 5*w**3 - 18