696 = 0. Calculate f.
-327, -4, -3, -1, 1
Suppose 4*m**2 - 1272432*m + 101192699664 = 0. Calculate m.
159054
Determine s, given that 2*s**3/11 + 428*s**2/11 + 422*s/11 - 852/11 = 0.
-213, -2, 1
Factor -x**5 - 23*x**4 - 62*x**3 - 40*x**2.
-x**2*(x + 1)*(x + 2)*(x + 20)
Determine q, given that q**4/10 + 91*q**3/10 + 1371*q**2/5 + 14042*q/5 + 12716/5 = 0.
-34, -22, -1
Factor i**3/5 + 449*i**2/5 - 15816*i/5 + 8676.
(i - 30)*(i - 3)*(i + 482)/5
Let l**3/5 - 5946*l**2/5 + 8909649*l/5 - 210420504/5 = 0. Calculate l.
24, 2961
Factor 3*p**3 - 6795*p**2 - 13599*p - 6801.
3*(p - 2267)*(p + 1)**2
Find n, given that -386643*n**5 - 4117730*n**4 - 5988506*n**3 - 2218908*n**2 + 38349*n - 162 = 0.
-9, -1, -2/3, 3/359
Let 4*a**3 - 5596*a**2 + 55516*a + 61116 = 0. Calculate a.
-1, 11, 1389
Factor 3*i**2 - 7485*i - 7488.
3*(i - 2496)*(i + 1)
Let -125*r**4 - 662650*r**3 - 878607545*r**2 - 1053613500*r - 316012500 = 0. What is r?
-2650, -3/5
Suppose 32*s**2 + 5340*s - 668 = 0. What is s?
-167, 1/8
Factor p**2/4 + 45*p/4 - 23/2.
(p - 1)*(p + 46)/4
What is d in -d**4 - 19337*d**3 - 38671*d**2 - 19335*d = 0?
-19335, -1, 0
What is d in -d**2/5 + 10773*d/5 + 97038/5 = 0?
-9, 10782
Solve -9*r**5/2 - 2470*r**4/3 - 17344*r**3 - 31653*r**2 - 87269*r/6 + 583 = 0.
-159, -22, -1, 1/27
Solve -4*p**3 - 16*p**2 + 820*p + 832 = 0 for p.
-16, -1, 13
Solve -4*z**3 - 448*z**2 - 12348*z - 33120 = 0 for z.
-69, -40, -3
Find n, given that -4*n**2/3 + 1612*n/3 + 1616/3 = 0.
-1, 404
Factor 2*i**3/5 - 1268*i**2/5 - 5128*i/5 + 15312/5.
2*(i - 638)*(i - 2)*(i + 6)/5
Factor 3*t**2 - 18378*t + 28145907.
3*(t - 3063)**2
Factor -3*s**4 + 94800*s**3 - 748920000*s**2.
-3*s**2*(s - 15800)**2
Factor -2*l**2/11 - 86*l - 60344/11.
-2*(l + 76)*(l + 397)/11
Factor i**2/2 - 614*i + 1226.
(i - 1226)*(i - 2)/2
Solve -s**4/4 - 53*s**3 + 1965*s**2/4 - 1321*s + 1105 = 0.
-221, 2, 5
Let 2*r**4 - 4350*r**3 + 34672*r**2 = 0. Calculate r.
0, 8, 2167
Let 3*b**2 + 59550*b - 178677 = 0. What is b?
-19853, 3
Factor 2*f**3 + 30*f**2 - 19664*f - 39432.
2*(f - 93)*(f + 2)*(f + 106)
Determine v so that 18*v**4 - 2269*v**3/3 + 14*v**2 = 0.
0, 1/54, 42
Solve -21*u**4 + 359*u**3 - 244*u**2 - 1996*u + 192 = 0.
-2, 2/21, 3, 16
Let -46*j**3/5 + 3460*j**2 - 169864*j/5 + 2928 = 0. Calculate j.
2/23, 10, 366
Factor m**4/2 + 25*m**3/2 - 31*m**2/2 - 133*m/2 - 39.
(m - 3)*(m + 1)**2*(m + 26)/2
Determine z so that -z**3 + 126*z**2 - 929*z - 26796 = 0.
-11, 21, 116
Factor 5*f**3/7 - 54*f**2 + 5011*f/7 + 5394/7.
(f - 58)*(f + 1)*(5*f - 93)/7
Factor -3*d**2/7 - 203424*d/7 - 3448443648/7.
-3*(d + 33904)**2/7
Suppose -t**5 - 300*t**4 - 28640*t**3 - 715520*t**2 + 15575040*t + 71991296 = 0. What is t?
-104, -4, 16
Factor -4*z**2/7 + 409152*z/7 - 10462834944/7.
-4*(z - 51144)**2/7
Factor -2*o**2 + 2792*o + 2794.
-2*(o - 1397)*(o + 1)
Suppose -j**4 - 205*j**3 - 13857*j**2 - 299155*j + 655394 = 0. Calculate j.
-73, -67, 2
Suppose 15*x**3/7 + 393*x**2/7 - 300*x/7 - 5724 = 0. Calculate x.
-106/5, -14, 9
Find k such that -k**4/3 - 1732*k**3/3 - 792907*k**2/3 - 12200720*k + 12465600 = 0.
-840, -53, 1
What is b in -342*b**5/11 + 1808*b**4/11 - 160*b**3 = 0?
0, 220/171, 4
Solve -7*q**4/11 - 250*q**3/11 + 4251*q**2/11 - 14914*q/11 + 3920/11 = 0 for q.
-49, 2/7, 5, 8
Suppose 2*a**4/7 - 30*a**3 + 612*a**2/7 = 0. What is a?
0, 3, 102
Factor 2*r**3/5 - 8712*r**2/5 + 1895730*r + 18992164/5.
2*(r - 2179)**2*(r + 2)/5
Factor 5*m**3 + 190*m**2 - 205*m - 390.
5*(m - 2)*(m + 1)*(m + 39)
Factor d**3/10 + 399*d**2 + 796005*d/2.
d*(d + 1995)**2/10
Determine y so that 2*y**4/5 + 38432*y**3/5 + 76854*y**2/5 - 38432*y/5 - 76856/5 = 0.
-19214, -2, -1, 1
Suppose 5*a**3 + 12795*a**2 - 76925*a + 64125 = 0. What is a?
-2565, 1, 5
Suppose 2*c**5 - 247*c**4 - 5418*c**3 - 22937*c**2 + 28600*c = 0. What is c?
-25/2, -8, 0, 1, 143
Find q such that -q**2/6 - 15208*q - 346924896 = 0.
-45624
Suppose -381*x**2/4 - 4103*x/4 + 242 = 0. Calculate x.
-11, 88/381
Let -5*a**3 - 2340*a**2 + 115575*a + 113347250 = 0. What is a?
-335, 202
Solve -u**3/4 - 929*u**2/2 - 1857*u/4 = 0 for u.
-1857, -1, 0
Factor -4*k**2/3 - 263216*k/3 - 4330166416/3.
-4*(k + 32902)**2/3
Factor 3*j**3/7 - 2195*j**2/7 - 9578*j/7 + 7360/7.
(j - 736)*(j + 5)*(3*j - 2)/7
What is j in 2*j**2/9 - 5410*j + 97372/9 = 0?
2, 24343
Solve 5*z**2/3 + 484730*z/3 + 11748158645/3 = 0.
-48473
Suppose -64*p**5/5 - 5344*p**4/5 + 6156*p**3 - 9712*p**2 + 18844*p/5 - 2136/5 = 0. Calculate p.
-89, 1/4, 2, 3
Factor -b**2/4 + 31*b/4 + 915/2.
-(b - 61)*(b + 30)/4
Factor 2*n**2/7 + 4244360*n/7 + 2251823976200/7.
2*(n + 1061090)**2/7
Factor 3*u**2 - 1201131*u.
3*u*(u - 400377)
Factor -p**4/7 - 76*p**3/7 + 1084*p**2/7 + 352*p.
-p*(p - 14)*(p + 2)*(p + 88)/7
Let 9*l**4/5 - 768*l**3 - 60516*l**2/5 - 212544*l/5 + 169728/5 = 0. Calculate l.
-8, 2/3, 442
Solve 90*g**5 - 15334*g**4 - 353368*g**3 - 215288*g**2 - 30560*g = 0 for g.
-20, -2/5, -2/9, 0, 191
Suppose 5*r**3 + 24700*r**2 - 74135*r + 49430 = 0. Calculate r.
-4943, 1, 2
Factor -3*k**2/5 - 576*k/5 + 1212.
-3*(k - 10)*(k + 202)/5
Factor -3*b**2/4 + 99*b/2 - 1539/4.
-3*(b - 57)*(b - 9)/4
Find x, given that -3*x**5/5 + 609*x**4/5 - 597*x**3 + 591*x**2 + 2988*x/5 - 3564/5 = 0.
-1, 1, 2, 3, 198
Find k such that 28*k**5/5 - 94*k**4 + 1742*k**3/5 - 1552*k**2/5 - 696*k/5 + 288/5 = 0.
-1/2, 2/7, 2, 3, 12
Solve -196*h**4 - 4683308*h**3 - 6689832*h**2 + 4969712*h - 764576 = 0.
-23893, -2, 2/7
Determine i, given that -2*i**2/9 - 8720*i/9 - 17432/9 = 0.
-4358, -2
Find h such that -10*h**5 - 104*h**4 + 4840*h**3 - 29728*h**2 + 44928*h + 23040 = 0.
-30, -2/5, 4, 12
Suppose -4*z**4/5 + 92*z**3/5 + 756*z**2/5 - 1772*z/5 + 928/5 = 0. Calculate z.
-8, 1, 29
Determine p so that -4*p**2 + 420196*p + 1680848 = 0.
-4, 105053
What is c in -c**5/5 + 143*c**4 + 6496*c**3/5 + 14468*c**2/5 + 8688*c/5 = 0?
-6, -2, -1, 0, 724
Let 9*p**3 + 38640*p**2 + 205839*p + 64320 = 0. Calculate p.
-4288, -5, -1/3
Suppose 1056*q**4 - 842*q**3 - 2322*q**2 - 432*q - 8 = 0. What is q?
-1, -2/11, -1/48, 2
Factor 5*b**3/4 + 1655*b**2/2 + 3305*b/4.
5*b*(b + 1)*(b + 661)/4
Solve b**2/6 + 40241*b/6 - 6707 = 0 for b.
-40242, 1
Find b such that -b**5 + 2958*b**4 - 2264892*b**3 + 113186536*b**2 + 480019584*b + 489126528 = 0.
-2, 58, 1452
Factor 3*s**3 + 23319*s**2 - 93312*s + 93324.
3*(s - 2)**2*(s + 7777)
Find q such that -3*q**3/5 - 2622*q**2/5 + 56271*q/5 - 20406 = 0.
-895, 2, 19
Find f, given that -f**5 - 1139*f**4 - 2274*f**3 = 0.
-1137, -2, 0
Factor 72*y**3/5 - 964*y**2/5.
4*y**2*(18*y - 241)/5
Determine b so that -b**3/6 - 41*b**2/2 - 988*b/3 = 0.
-104, -19, 0
What is z in -3*z**5 + 543*z**4 - 369*z**3 - 31215*z**2 + 77700*z + 108000 = 0?
-8, -1, 5, 180
Let 4*j**3/7 - 2160*j**2/7 + 116876*j/7 = 0. Calculate j.
0, 61, 479
Factor -2*b**2 + 3636*b + 36560.
-2*(b - 1828)*(b + 10)
Let -5*q**5 + 17850*q**4 + 60*q**3 - 214280*q**2 + 285600*q = 0. What is q?
-4, 0, 2, 3570
Suppose -2*d**2/13 - 296060*d/13 - 10956440450/13 = 0. What is d?
-74015
Factor -4*s**3 - 57408*s**2 + 804300*s - 2815736.
-4*(s - 7)**2*(s + 14366)
Factor -b**2 + 3539*b + 60452.
-(b - 3556)*(b + 17)
Solve -2*u**4/3 - 24*u**3 + 7676*u**2/3 + 10520*u + 7938 = 0.
-81, -3, -1, 49
Determine s so that -3*s**3 - 6219*s**2 + 37443*s + 43659 = 0.
-2079, -1, 7
Let 12*d**5 + 63*d**4 - 246*d**3 + 144*d**2 = 0. Calculate d.
-8, 0, 3/4, 2
Factor x**3 - 211*x**2 - 5786*x - 26904.
(x - 236)*(x + 6)*(x + 19)
Let z**2/3 - 3456*z + 8957952 = 0. What is z?
5184
Factor 7*l**5 - 291*l**4 + 1343*l**3 - 2353*l**2 + 1806*l - 512.
(l - 2)*(l - 1)**3*(7*l - 256)
Factor 2*k**3/9 + 668*k**2/9 + 24442*k/9 - 25112/9.
2*(k - 1)*(k + 43)*(k + 292)/9
Determine u, given that 3*u**2/2 - 18825*u/2 - 150984 = 0.
-16, 6291
Suppose n**2/2 + 670*n + 311259/2 = 0. What is n?
-1041, -299
Factor -3*k**3/2 + 63*k**2 + 2961*k/2 + 1416.
-3*(k - 59)*(k + 1)*(k + 16)/2
Factor -n**3/4 + 3521*n**2/2 - 14081*n/4 + 1760.
-(n - 7040)*(n - 1)**2/4
Factor -o**2/2 - 2971*o/2 - 5934.
-(o + 4)*(o + 2967)/2
Factor 2*n**4 + 1238*n**3 - 38940*n**2.
2*n**2*(n - 30)*(n + 649)
Factor -k**3/7 + 37*k**2/7 - 164*k/7 + 128/7.
-(k - 32)*(k - 4)*(k - 1)/7
Let -5*s**2/4 - 12945*s - 25885 = 0. What is s?
-10354, -2
Determine c, given that -2*c**3 - 302*c**2 - 1022*c + 22638 = 0.
-147, -11, 7
Find h, given that -254*h**4/21 - 12704*h**3/21 