3 - 217*b**2/3 + 249*b - 270 = 0.
2, 5, 9
Factor a**2 + 26*a + 160.
(a + 10)*(a + 16)
Find b, given that 2*b**4 + 1392*b**3 - 296706*b**2 + 14429536*b - 40656000 = 0.
-875, 3, 88
Determine u so that -2*u**5/15 - 272*u**4/15 - 354*u**3/5 - 264*u**2/5 = 0.
-132, -3, -1, 0
Factor 4*w**2/3 + 1628*w - 9784/3.
4*(w - 2)*(w + 1223)/3
Let 2*k**3/5 - 7432*k**2/5 - 22322*k/5 + 29752/5 = 0. What is k?
-4, 1, 3719
Factor 2*x**3/5 - 14602*x**2/5 + 5331920*x - 5329000.
2*(x - 3650)**2*(x - 1)/5
Factor c**2 + 977*c/2 + 39423.
(c + 102)*(2*c + 773)/2
Determine x, given that -3*x**4/7 + 711*x**3/7 + 6561*x**2/7 + 2835*x + 19926/7 = 0.
-3, 246
Determine k, given that -k**3 + 1175*k**2 + 2354*k = 0.
-2, 0, 1177
Solve 21*x**3 - 1143*x**2 + 5706*x - 5880 = 0.
10/7, 4, 49
Determine n so that 2*n**2/13 + 670*n/13 - 104632/13 = 0.
-451, 116
Let 2*x**4 + 17938*x**3 - 17950*x**2 - 89706*x - 53820 = 0. What is x?
-8970, -1, 3
Factor -4*n**4 + 24*n**3 + 9468*n**2 - 28512*n - 5645376.
-4*(n - 36)**2*(n + 33)**2
Factor -3*n**2/5 + 894*n/5 + 75969/5.
-3*(n - 367)*(n + 69)/5
Let -s**2 + 14*s + 31280 = 0. Calculate s.
-170, 184
Factor z**3/5 - 14333*z**2/5 + 51265431*z/5 + 668875077/5.
(z - 7173)**2*(z + 13)/5
Find z such that -125*z**3/4 - 625*z**2/2 + 5795*z/4 - 1105 = 0.
-68/5, 1, 13/5
Determine w so that 15*w**3 + 49265*w**2 + 16410*w - 32840 = 0.
-3284, -1, 2/3
Factor 6*b**3/11 - 275628*b**2/11 - 1102584*b/11 - 1102608/11.
6*(b - 45942)*(b + 2)**2/11
Suppose 14*d**5 - 46*d**4 - 242*d**3 + 46*d**2 + 228*d = 0. Calculate d.
-19/7, -1, 0, 1, 6
Determine a, given that a**3/4 + 5*a**2/2 - 613*a/4 + 589/2 = 0.
-31, 2, 19
Let -q**5/4 + 2*q**4 - q**3/4 - 41*q**2/2 + 5*q + 50 = 0. Calculate q.
-2, 2, 5
Find i such that -10*i**5/3 + 1402*i**4 + 10214*i**3/3 - 8746*i**2 + 5060*i/3 + 2256 = 0.
-4, -2/5, 1, 423
What is o in -5*o**4 - 31360*o**3 - 188040*o**2 - 376000*o - 250640 = 0?
-6266, -2
Solve -u**3/2 - 156*u**2 - 5373*u/2 - 11907 = 0.
-294, -9
What is j in -2*j**3/9 - 178*j**2/3 - 292*j - 2096/9 = 0?
-262, -4, -1
Let -645*i**2 - 7797*i - 684 = 0. Calculate i.
-12, -19/215
Determine x, given that 3*x**3 + 1485*x**2 + 5901*x + 4419 = 0.
-491, -3, -1
Factor 5*c**3 - 8095*c**2 + 144495*c - 648405.
5*(c - 1601)*(c - 9)**2
Factor -422*f**2/5 + 14938*f + 708/5.
-2*(f - 177)*(211*f + 2)/5
Factor p**4/8 + 52047*p**3/2 + 2708994301*p**2/2 + 5417676324*p + 5417572232.
(p + 2)**2*(p + 104092)**2/8
Suppose 2*p**4 + 9511*p**3 + 61742*p**2 + 23739*p - 28494 = 0. What is p?
-4749, -6, -1, 1/2
Let -2*s**4/19 + 2500*s**3/19 - 778744*s**2/19 - 1567504*s/19 = 0. Calculate s.
-2, 0, 626
Factor 4*d**3 + 4288*d**2 + 113060*d + 209000.
4*(d + 2)*(d + 25)*(d + 1045)
Find q, given that -12*q**5/5 - 71*q**4/5 + 18*q**3/5 + 71*q**2/5 - 6*q/5 = 0.
-6, -1, 0, 1/12, 1
Factor -244*b**2 - 12*b.
-4*b*(61*b + 3)
Factor 2*p**2/7 + 8228*p/7 - 2352.
2*(p - 2)*(p + 4116)/7
Find m, given that -2*m**2/5 - 106*m/5 - 1292/5 = 0.
-34, -19
Solve 4*s**3 + 708*s**2 + 704*s = 0 for s.
-176, -1, 0
Factor 2*k**3/3 + 770290*k**2/9 + 8240883374*k/3 - 915663218.
2*(k + 64191)**2*(3*k - 1)/9
Factor 4*o**4 - 1210608*o**3 + 91598233104*o**2.
4*o**2*(o - 151326)**2
Let -5*l**3 + 21660*l**2 - 64945*l + 43290 = 0. Calculate l.
1, 2, 4329
What is r in 94*r**4 - 20923*r**3/2 - 58189*r**2/2 + 9294*r - 342 = 0?
-3, 2/47, 1/4, 114
Factor z**3/4 - 391*z**2/4 + 1419*z - 3384.
(z - 376)*(z - 12)*(z - 3)/4
Suppose -2*t**3/7 - 680*t**2/7 + 18694*t/7 - 123708/7 = 0. Calculate t.
-366, 13
Find v, given that 4*v**4 + 42300*v**3 - 296328*v**2 - 338624*v = 0.
-10582, -1, 0, 8
Let -4*n**4 - 488*n**3 - 13348*n**2 + 93696*n - 147456 = 0. Calculate n.
-64, 3
Determine l, given that 4*l**2/9 + 3052*l/9 - 159152/9 = 0.
-812, 49
Find c such that 2*c**5/13 + 86*c**4/13 + 1270*c**3/13 + 7954*c**2/13 + 19728*c/13 + 12960/13 = 0.
-20, -9, -4, -1
What is f in -2*f**5/17 + 22*f**4 + 7762*f**3/17 + 802*f**2 - 7760*f/17 - 824 = 0?
-17, -2, -1, 1, 206
Factor -p**3/4 - 437*p**2/2 - 47523*p + 95922.
-(p - 2)*(p + 438)**2/4
Factor -2*r**2 - 4976*r - 49560.
-2*(r + 10)*(r + 2478)
Factor -2*y**3 + 276*y**2 - 3442*y - 3720.
-2*(y - 124)*(y - 15)*(y + 1)
Solve -375*c**5 - 763575*c**4 + 1376820*c**3 + 2384976*c**2 + 1051680*c + 146736 = 0.
-2038, -2/5, 3
Find m such that -3*m**3 + 227271*m**2 - 4304455920*m + 4304228652 = 0.
1, 37878
Solve -4*s**3 + 140*s**2 + 1591232*s - 405466368 = 0.
-717, 376
What is l in 2*l**2/17 - 1644924*l/17 + 338221870722/17 = 0?
411231
Factor 81*c**4 - 11214*c**3 + 399181*c**2 - 765044*c + 376996.
(c - 1)**2*(9*c - 614)**2
Factor -2*r**2/5 - 2872*r/5 - 662966/5.
-2*(r + 289)*(r + 1147)/5
Let -2*b**3/7 - 33606*b**2 + 470490*b/7 - 235246/7 = 0. What is b?
-117623, 1
Find w, given that 2*w**2/9 + 37640*w/9 + 177096200/9 = 0.
-9410
Factor 2*p**2/19 - 206*p/19 + 1692/19.
2*(p - 94)*(p - 9)/19
Factor -3*l**2 - 39153*l + 39156.
-3*(l - 1)*(l + 13052)
Factor -9*a**2 + 5424*a + 1809.
-3*(a - 603)*(3*a + 1)
Find b such that b**3 - 2816*b**2 - 28251*b - 25434 = 0.
-9, -1, 2826
Determine b, given that -2*b**3/5 + 43*b**2/5 + 477*b/5 + 198 = 0.
-11/2, -3, 30
Solve 14*z**5 + 620*z**4/3 + 322*z**3 - 4892*z**2/3 + 880*z = 0.
-12, -5, 0, 2/3, 11/7
Suppose 2*v**5/5 - 4856*v**4/5 - 29238*v**3/5 + 73036*v**2/5 - 38944*v/5 = 0. What is v?
-8, 0, 1, 2434
Factor 5*n**3 - 40*n**2 - 305*n + 1540.
5*(n - 11)*(n - 4)*(n + 7)
Let -224*u**5/3 + 1319*u**4/3 - 970*u**3/3 - 125*u**2/3 = 0. Calculate u.
-25/224, 0, 1, 5
Factor 2*h**3/15 - 638*h**2/15 + 7744*h/3 + 681472/5.
2*(h - 176)**2*(h + 33)/15
Find x such that -2*x**3/5 + 504*x**2/5 - 3918*x/5 + 3416/5 = 0.
1, 7, 244
Let 5*k**3 + 3100*k**2 - 44315*k + 41210 = 0. Calculate k.
-634, 1, 13
Determine h so that 42*h**5/13 - 12730*h**4/13 - 63132*h**3/13 - 97192*h**2/13 - 41904*h/13 + 4928/13 = 0.
-2, -1, 2/21, 308
Let -14*r**4 - 269280*r**3 - 346198*r**2 - 76932*r = 0. What is r?
-19233, -1, -2/7, 0
Factor 1635*q**2 - 2225*q + 560.
5*(3*q - 1)*(109*q - 112)
Solve 5*p**4 + 3040*p**3 - 24540*p**2 + 61520*p - 49280 = 0 for p.
-616, 2, 4
Let -2*z**2/7 - 4832*z/7 - 690 = 0. Calculate z.
-2415, -1
Suppose 120*j**5 - 78111*j**4 - 319659*j**3 - 416295*j**2 - 186657*j - 11790 = 0. What is j?
-2, -1, -3/40, 655
Determine b so that -b**5 + 524*b**4/5 + 127*b**3 + 106*b**2/5 = 0.
-1, -1/5, 0, 106
Determine t, given that -4*t**2 + 956*t - 12600 = 0.
14, 225
What is i in -3*i**4 + 1200*i**3/7 + 4971*i**2/7 - 1758*i/7 - 4392/7 = 0?
-4, -6/7, 1, 61
Find l, given that -l**4 - 21*l**3/4 - 27*l**2/4 + 4*l + 9 = 0.
-9/4, -2, 1
Determine f, given that -5*f**5 + 80*f**4 + 320*f**3 - 590*f**2 - 1515*f + 1710 = 0.
-3, 1, 2, 19
Suppose -2*m**4 - 4324*m**3 - 4318*m**2 + 8644*m = 0. Calculate m.
-2161, -2, 0, 1
What is d in -6*d**5 + 3033*d**4/2 - 1116*d**3 - 9075*d**2/2 + 369*d + 2268 = 0?
-1, 3/4, 2, 252
Factor y**2 - 1626970*y + 661757845225.
(y - 813485)**2
Suppose 3*r**2 - 228261*r + 684756 = 0. What is r?
3, 76084
Factor -h**3/5 + 13*h**2/5 + 96*h/5 - 108/5.
-(h - 18)*(h - 1)*(h + 6)/5
What is w in 5*w**4 - 250*w**3 + 1715*w**2 - 1470*w = 0?
0, 1, 7, 42
What is q in -4*q**3 - 388*q**2 + 32836*q + 33220 = 0?
-151, -1, 55
Solve -3*m**2 - 13509*m + 13512 = 0 for m.
-4504, 1
Factor 2*p**2/11 + 15178*p/11 + 45516/11.
2*(p + 3)*(p + 7586)/11
Factor 5*a**3 + 1060*a**2 + 2085*a - 3150.
5*(a - 1)*(a + 3)*(a + 210)
Factor x**3/3 + 199*x**2/3 - 1448*x + 2628.
(x - 18)*(x - 2)*(x + 219)/3
Factor 2*x**2/11 + 168*x + 43200/11.
2*(x + 24)*(x + 900)/11
Find z such that -z**5 - 79*z**4 - 306*z**3 - 454*z**2 - 301*z - 75 = 0.
-75, -1
Factor z**4 - 8478*z**3 + 33885*z**2 + 93208*z + 50844.
(z - 8474)*(z - 6)*(z + 1)**2
Find j, given that -2*j**3/9 + 11984*j**2/9 - 59878*j/9 + 47896/9 = 0.
1, 4, 5987
Factor 3*n**5/5 + 4674*n**4/5 + 1820523*n**3/5.
3*n**3*(n + 779)**2/5
Determine n, given that 5*n**2 + 107235*n + 107230 = 0.
-21446, -1
Factor 3*o**2 + 39*o - 504.
3*(o - 8)*(o + 21)
Solve 3*b**4 + 1947*b**3 - 7824*b**2 + 7836*b = 0.
-653, 0, 2
Factor -2*g**2/7 + 130*g/7 + 264.
-2*(g - 77)*(g + 12)/7
Factor d**2 - 78167*d.
d*(d - 78167)
Determine q so that -4*q**2 + 15960*q - 459476 = 0.
29, 3961
Factor -m**3 - 45*m**2 - 303*m - 259.
-(m + 1)*(m + 7)*(m + 37)
Factor -2*w**2/5 + 5682*w/5 - 11356/5.
-2*(w - 2839)*(w - 2)/5
Determine j, given that 4*j**2 + 56848*j + 56