71
Factor j**3/6 - 130*j**2/3 + 257*j/2.
j*(j - 257)*(j - 3)/6
Factor t**3 - 493*t**2 - 2000*t + 5964.
(t - 497)*(t - 2)*(t + 6)
Find a such that 5*a**2 - 4310*a = 0.
0, 862
Let 2*n**4 - 1466*n**3 - 89838*n**2 - 175270*n - 86900 = 0. Calculate n.
-55, -1, 790
Let 3*d**2/4 - 2289*d/2 - 16170 = 0. What is d?
-14, 1540
Suppose -v**2 - 3056*v - 12208 = 0. Calculate v.
-3052, -4
Solve 4*k**2 + 58060*k = 0.
-14515, 0
What is d in -4*d**4/3 + 428*d**3/3 - 3240*d**2 - 44144*d/3 - 45920/3 = 0?
-2, 41, 70
Factor 8*j**2/7 + 361338*j/7 + 90334/7.
2*(j + 45167)*(4*j + 1)/7
Determine f so that -15*f**4 + 40*f**3 + 75*f**2 + 20*f = 0.
-1, -1/3, 0, 4
Factor 2*w**4 + 330*w**3 - 17306*w**2 + 16974*w.
2*w*(w - 41)*(w - 1)*(w + 207)
Factor -v**2/5 + 12839*v/5 - 61512.
-(v - 12815)*(v - 24)/5
Suppose 4*h**3 + 2256*h**2 - 15988*h = 0. What is h?
-571, 0, 7
Factor h**2/4 - 25545*h + 51089.
(h - 102178)*(h - 2)/4
What is o in -5*o**3 + 280*o**2 + 1655*o - 45430 = 0?
-14, 11, 59
What is v in 2*v**2/11 - 342*v/11 - 4860 = 0?
-99, 270
What is t in -4*t**2/9 - 559796*t/9 - 373192/3 = 0?
-139947, -2
Find h such that 30*h**4 + 2095*h**3 + 30730*h**2 + 48820*h - 9000 = 0.
-50, -18, -2, 1/6
What is g in -2*g**3/9 - 104*g**2/9 + 3202*g/3 + 17860 = 0?
-94, -15, 57
Factor -2*b**2/9 - 326*b/3 + 8140.
-2*(b - 66)*(b + 555)/9
Determine d so that -4*d**5/5 + 8104*d**4/5 + 19528*d**3 + 374752*d**2/5 + 97804*d + 40760 = 0.
-5, -1, 2038
Find p such that p**5/5 - 53*p**4 + 1303*p**3/5 - 155*p**2 - 1304*p/5 + 208 = 0.
-1, 1, 4, 260
Determine o so that -o**4/3 - 32624*o**3 + 97873*o**2/3 = 0.
-97873, 0, 1
Suppose -s**3/5 + 49999*s**2/5 - 124979999*s - 1875150003/5 = 0. Calculate s.
-3, 25001
Solve 2*q**2/9 + 16546*q/9 = 0.
-8273, 0
Factor 12*f**3 + 14624*f**2 + 287680*f.
4*f*(f + 20)*(3*f + 3596)
What is l in 3*l**5 - 2031*l**4 + 338517*l**3 + 1809795*l**2 - 11236632*l + 12558348 = 0?
-9, 2, 341
Factor -4*w**4 - 112*w**3 - 688*w**2 - 960*w.
-4*w*(w + 2)*(w + 6)*(w + 20)
Factor 4*y**2 + 1523920*y + 145145760400.
4*(y + 190490)**2
Suppose 5*w**4/3 - 11660*w**3/3 + 2292970*w**2 - 94597580*w/3 + 329103845/3 = 0. Calculate w.
7, 1159
Factor l**4 - 1572*l**3 + 6277*l**2 - 7842*l + 3136.
(l - 1568)*(l - 2)*(l - 1)**2
Determine m so that 5*m**2 - 29970*m + 29965 = 0.
1, 5993
Find x such that x**5/4 - 12743*x**4/4 - 3186*x**3 = 0.
-1, 0, 12744
Suppose -k**3/4 + 73*k**2/4 - 237*k/2 + 198 = 0. Calculate k.
3, 4, 66
Find t such that -3*t**2 - 201954*t - 201951 = 0.
-67317, -1
Let -2*c**3/7 + 11736*c**2/7 + 105806*c/7 - 117540/7 = 0. What is c?
-10, 1, 5877
Factor 2*n**3/5 + 166*n**2/5 + 1844*n/5 + 336.
2*(n + 1)*(n + 12)*(n + 70)/5
Factor -4*j**2 + 1261328*j - 99434270224.
-4*(j - 157666)**2
Solve 4*r**5 - 324*r**4 + 5096*r**3 + 13944*r**2 - 496620*r + 477900 = 0.
-9, 1, 15, 59
Suppose 4*t**3 + 155*t**2 + 367*t - 24354 = 0. What is t?
-27, -22, 41/4
Let -t**5/3 - 160*t**4 - 9724*t**3 - 476272*t**2/3 = 0. Calculate t.
-412, -34, 0
Find a such that -15*a**5 + 1720*a**4 + 34370*a**3 - 4260*a**2 - 308115*a - 100980 = 0.
-17, -3, -1/3, 3, 132
Suppose -4*a**4/3 + 772*a**3/3 + 808*a**2/3 - 6160*a/3 - 3104 = 0. Calculate a.
-2, 3, 194
Solve -2*g**3/3 + 2152*g**2/3 - 531050*g/3 - 8749468 = 0.
-42, 559
Factor -2*t**4/9 - 10288*t**3/9 - 20570*t**2/9 - 3428*t/3.
-2*t*(t + 1)**2*(t + 5142)/9
Determine a so that -3*a**2 + 2151*a = 0.
0, 717
Let -3*n**2 - 7032*n = 0. Calculate n.
-2344, 0
Solve 4*j**4 - 324*j**3 - 1380*j**2 + 1700*j = 0.
-5, 0, 1, 85
Let 2*h**2 - 50*h - 43200 = 0. Calculate h.
-135, 160
What is k in 3*k**5 + 355*k**4 - 983*k**3 - 1819*k**2 - 484*k = 0?
-121, -1, -1/3, 0, 4
Factor -96*t**2 - 150334*t + 3132.
-2*(t + 1566)*(48*t - 1)
Let -2*u**3 - 348*u**2 - 16834*u - 227424 = 0. Calculate u.
-103, -48, -23
Find v such that -30*v**4 + 1465*v**3 + 8345*v**2 + 1350*v = 0.
-5, -1/6, 0, 54
Determine i, given that 3*i**5 - 36*i**4 - 24*i**3 + 1422*i**2 - 3003*i - 4410 = 0.
-6, -1, 5, 7
Find t such that -2*t**4 - 106*t**3 - 1398*t**2 - 4934*t - 3640 = 0.
-35, -13, -4, -1
Factor -363*n**3 + 29469*n**2 - 639840*n + 1664100.
-3*(n - 3)*(11*n - 430)**2
Factor 2*w**3 + 1680*w**2 - 20384*w + 54528.
2*(w - 8)*(w - 4)*(w + 852)
Factor n**2 + 5*n - 14.
(n - 2)*(n + 7)
Determine l so that 5*l**2/2 - 5355*l/2 - 60115 = 0.
-22, 1093
Determine c so that -c**3/5 - 50*c**2 + 1028*c/5 + 3048/5 = 0.
-254, -2, 6
Factor 3*s**2/5 + 10377*s/5 - 93636/5.
3*(s - 9)*(s + 3468)/5
Solve -a**4/4 + 593*a**3/4 - 591*a**2/2 = 0.
0, 2, 591
Factor -3*k**2/4 + 4701*k/4 - 165723/2.
-3*(k - 1493)*(k - 74)/4
Find v such that -88*v**3/5 + 1436*v**2/5 + 204*v = 0.
-15/22, 0, 17
Let 2*v**2/7 - 5544*v = 0. Calculate v.
0, 19404
Factor 4*u**5 + 6560*u**4 - 6564*u**3.
4*u**3*(u - 1)*(u + 1641)
Let -45*c**3 + 1345*c**2 + 590*c - 54600 = 0. Calculate c.
-6, 7, 260/9
Determine h so that -3*h**4 - 21*h**3 + 117*h**2 - 159*h + 66 = 0.
-11, 1, 2
Find s, given that s**3/4 + 5*s**2 - 88*s + 256 = 0.
-32, 4, 8
Factor 4*p**2/7 - 13544*p/7 + 1212192/7.
4*(p - 3294)*(p - 92)/7
Solve 5*k**3 + 3515*k**2 - 25150*k - 213000 = 0.
-710, -5, 12
Find m, given that 2*m**4/13 - 170*m**3/13 + 5236*m**2/13 - 68992*m/13 + 329280/13 = 0.
14, 15, 28
What is p in -2*p**2 - 108648*p - 1475548488 = 0?
-27162
Solve -b**5/3 + 3098*b**4 - 37139*b**3/3 - 65030*b**2 = 0 for b.
-3, 0, 7, 9290
Factor -5*l**2 - 2289*l + 76284.
-(l + 489)*(5*l - 156)
Suppose 4*r**5/5 + 68*r**4/5 - 4*r**3/5 - 68*r**2/5 = 0. Calculate r.
-17, -1, 0, 1
Factor -t**3/4 - 13*t**2/2 + 337*t/4 + 1105/2.
-(t - 13)*(t + 5)*(t + 34)/4
Find i, given that i**4/2 + 647*i**3 + 646*i**2 - 647*i - 1293/2 = 0.
-1293, -1, 1
Factor j**3/3 + 300*j**2 + 599*j + 898/3.
(j + 1)**2*(j + 898)/3
Factor 4*s**4 + 400*s**3 + 8676*s**2 + 8280*s.
4*s*(s + 1)*(s + 30)*(s + 69)
Factor -2*x**2/3 + 710*x/3 + 712/3.
-2*(x - 356)*(x + 1)/3
Factor o**3/5 - 3546*o**2 + 78623673*o/5 - 314211076/5.
(o - 8863)**2*(o - 4)/5
Suppose -o**5/2 - 10139*o**4/2 - 25715035*o**3/2 - 77084281*o**2/2 - 38532004*o - 12842312 = 0. What is o?
-5068, -1
Suppose 4*q**3 - 1080*q**2 + 96000*q - 2800000 = 0. Calculate q.
70, 100
Factor 4*o**3 - 152*o**2 + 1196*o + 1352.
4*(o - 26)*(o - 13)*(o + 1)
Factor -2*p**3 + 404*p**2 - 15498*p - 173664.
-2*(p - 144)*(p - 67)*(p + 9)
Solve 2*t**3 - 40102*t**2 - 401170*t - 1003050 = 0 for t.
-5, 20061
Let t**4/9 + 257*t**3/9 + 5710*t**2/3 + 333868*t/9 - 351256/9 = 0. Calculate t.
-166, -46, 1
Factor -2*q**5/7 + 3116*q**4/7 + 3118*q**3/7.
-2*q**3*(q - 1559)*(q + 1)/7
What is b in b**5/6 + 7*b**4/6 - 275*b**3/3 + 532*b**2/3 = 0?
-28, 0, 2, 19
Solve -3*f**3/2 - 2082*f**2 - 1389255*f/2 + 19494111 = 0.
-707, 26
Let z**4/9 + 2*z**3/9 - 1801*z**2/3 - 14880*z + 110700 = 0. What is z?
-45, 6, 82
Factor -y**2/4 - 214*y - 34959/4.
-(y + 43)*(y + 813)/4
Factor 45*f**2 + 1705*f - 1750.
5*(f - 1)*(9*f + 350)
Factor 36*s**3 - 4129840*s**2 + 118441057972*s + 26320439048.
4*(s - 57359)**2*(9*s + 2)
Factor 5*h**2 + 1811580*h + 164091104820.
5*(h + 181158)**2
Factor -5*f**2/3 - 6886790*f/3 - 2295595.
-5*(f + 1)*(f + 1377357)/3
Determine q, given that 4*q**2/3 + 252*q + 13520/3 = 0.
-169, -20
Find q, given that q**2/4 - 21685*q/2 + 470239225/4 = 0.
21685
Determine u, given that 3*u**3 - 16131*u**2 + 32253*u - 16125 = 0.
1, 5375
Let -51*w**5 + 6282*w**4 - 278496*w**3 + 5145738*w**2 - 31899069*w + 5470524 = 0. Calculate w.
3/17, 12, 37
Suppose 3*k**4 - 15513*k**3 + 20046666*k**2 + 20093220*k - 40124376 = 0. What is k?
-2, 1, 2586
What is x in 2*x**4/5 - 792*x**3/5 + 113768*x**2/5 - 1400256*x + 31258240 = 0?
68, 130
Factor 10*c**4 + 25866*c**3 - 10348*c**2.
2*c**2*(c + 2587)*(5*c - 2)
Factor -9*h**2/11 - 124*h/11 + 28/11.
-(h + 14)*(9*h - 2)/11
Factor -5*v**2 - 692180*v - 23955657620.
-5*(v + 69218)**2
Let j**5 - 74*j**4 - 1287*j**3 - 4336*j**2 + 5696*j = 0. Calculate j.
-8, 0, 1, 89
Find q such that -236*q**3/3 - 9668*q**2/3 + 20624*q/3 - 688/3 = 0.
-43, 2/59, 2
Find j, given that -5*j**5 - 47170*j**4 - 111344745*j**3 - 444813100*j**2 - 444624500*j = 0.
-4715, -2, 0
Factor -4*p**3 - 182560*p**2 - 2083192148*p - 4165654088.
-4*(p + 2)*(p + 22819)**2
Factor 18*k**4 + 20*k**3 - 32*k**2.
2*k**2*(k + 2)*(9*k - 8)
Suppose 5*w**2 - 458845*w = 0. What is w?
0, 91769
Factor x**3 - 44715*x**2 - 44716*x.
x*(x - 44716)*(x + 1)
Factor 2*q**2/7 + 188*q/7 -