- 169730*v/3 - 1640.
5*(v - 492)*(69*v + 2)/3
Solve -6292*y**2 + 6356*y - 64 = 0.
16/1573, 1
Let -3*f**2 - 1053*f - 23544 = 0. Calculate f.
-327, -24
Factor 4*d**4/5 + 7260*d**3 - 145248*d**2/5 + 145264*d/5.
4*d*(d - 2)**2*(d + 9079)/5
Factor c**2 + 2487*c + 7452.
(c + 3)*(c + 2484)
Determine y, given that 54*y**4 - 424*y**3 + 1070*y**2 - 804*y - 144 = 0.
-4/27, 2, 3
Let -2*d**3/5 - 212*d**2 + 3198*d/5 = 0. Calculate d.
-533, 0, 3
Factor -5*v**2 - 2595*v + 2600.
-5*(v - 1)*(v + 520)
Find i such that i**5 - 23*i**4 - 323*i**3 + 3495*i**2 - 3150*i = 0.
-15, 0, 1, 7, 30
Solve -5*i**2 - 949105*i - 949100 = 0.
-189820, -1
Factor -2*m**3 + 1888*m**2 - 7520*m.
-2*m*(m - 940)*(m - 4)
Factor 4*x**2/5 + 1164*x/5 - 20944/5.
4*(x - 17)*(x + 308)/5
Let -5*p**2 - 1553595*p/4 + 97100 = 0. What is p?
-77680, 1/4
Let -25*f**3/7 - 3180*f**2/7 - 38709*f/7 - 124146/7 = 0. Calculate f.
-114, -33/5
Determine i so that -i**5/10 + 1533*i**4/10 - 2288*i**3/5 - 10734*i**2/5 + 36736*i/5 - 4896 = 0.
-4, 1, 2, 4, 1530
Suppose -4*a**5/5 + 156*a**4/5 - 1244*a**3/5 - 5964*a**2/5 + 7056*a/5 = 0. Calculate a.
-4, 0, 1, 21
Factor 5*q**4 + 670*q**3 - 1360*q**2.
5*q**2*(q - 2)*(q + 136)
Suppose -3*u**3/4 + 5199*u**2/8 - 2595*u/8 - 1299/4 = 0. Calculate u.
-1/2, 1, 866
Solve -5*w**3 + 5655*w**2 - 95050*w + 401040 = 0.
8, 9, 1114
Solve 200*x**5/3 + 3540*x**4 + 21616*x**3/3 + 3324*x**2 - 408*x = 0 for x.
-51, -6/5, -1, 0, 1/10
Factor 3*d**4 + 24444*d**3 + 48379626*d**2 - 5755755348*d + 166334124267.
3*(d - 57)**2*(d + 4131)**2
Factor 4*j**3 - 980*j**2 + 79132*j - 2110284.
4*(j - 99)*(j - 73)**2
Find b such that b**2/3 + 15030*b + 169425675 = 0.
-22545
Determine w, given that -2*w**2 + 33088*w + 364210 = 0.
-11, 16555
Factor -2*l**2 - 6910*l + 41532.
-2*(l - 6)*(l + 3461)
Solve -75*p**5 - 40335*p**4 + 49743*p**3 + 665511*p**2 + 498216*p + 97020 = 0 for p.
-539, -3, -2/5, 5
Suppose -3*k**4/4 - 321249*k**3/4 - 8600237289*k**2/4 - 8599916043*k/4 = 0. What is k?
-53541, -1, 0
Solve 7*n**5 + 312*n**4 + 2938*n**3 + 3912*n**2 + 223*n - 1056 = 0 for n.
-32, -11, -1, 3/7
Let -3*s**4/2 + 10959*s**3/2 + 3*s**2/2 - 10959*s/2 = 0. What is s?
-1, 0, 1, 3653
Determine g so that -5*g**3 + 9205*g**2 + 36885*g + 27675 = 0.
-3, -1, 1845
Factor 4*g**4 - 984*g**3 - 2012*g**2 + 6960*g - 3968.
4*(g - 248)*(g - 1)**2*(g + 4)
Find t such that 5*t**3 - 27190*t**2 = 0.
0, 5438
Find z, given that -z**5/7 + z**4 + 263*z**3/7 - 23*z**2/7 - 766*z/7 + 520/7 = 0.
-13, -2, 1, 20
Find y such that 2*y**5/11 + 4*y**4/11 - 78*y**3/11 - 184*y**2/11 + 736*y/11 + 1920/11 = 0.
-4, -3, 4, 5
Determine f so that 2*f**2/5 + 28822*f/5 + 86448/5 = 0.
-14408, -3
Find w, given that 5*w**3/3 + 70129*w**2 + 98178*w + 84152/3 = 0.
-42076, -1, -2/5
Suppose -4*o**3/13 - 382*o**2/13 + 64*o/13 + 6112/13 = 0. What is o?
-191/2, -4, 4
Let 9*s**4 - 871*s**3 + 22774*s**2 - 146276*s - 33640 = 0. Calculate s.
-2/9, 10, 29, 58
Determine j, given that -3*j**3 + 1539*j**2 + 62931*j - 64467 = 0.
-39, 1, 551
Solve 21*x**3/2 + 24933*x**2/2 + 28446*x + 7110 = 0 for x.
-1185, -2, -2/7
Determine s so that 8*s**3 - 357824*s**2 + 4001009050*s + 4001366882 = 0.
-1, 44729/2
Determine k, given that k**4/3 + 173*k**3 - 520*k**2/3 = 0.
-520, 0, 1
Let -4*k**5 - 7500*k**4 - 3504356*k**3 + 10565628*k**2 - 7053768*k = 0. Calculate k.
-939, 0, 1, 2
Find o such that 3*o**3 + 8442*o**2 + 695637*o - 704082 = 0.
-2729, -86, 1
Factor 5*v**3 + 2865*v**2 - 2870*v.
5*v*(v - 1)*(v + 574)
Suppose 12*y**4 + 208*y**3 - 16272*y**2 - 346752*y + 238336 = 0. What is y?
-28, 2/3, 38
Factor -2*o**2/9 + 56716*o/9 - 402088082/9.
-2*(o - 14179)**2/9
Factor r**3 - 1997*r**2 + 47496*r - 284112.
(r - 1973)*(r - 12)**2
Factor -z**3/3 + 88*z**2/3 + 476*z.
-z*(z - 102)*(z + 14)/3
Determine i, given that -3*i**3 + 309*i**2 + 8358*i + 42336 = 0.
-16, -7, 126
Factor 4*a**2/3 + 4300*a/3 - 96536/3.
4*(a - 22)*(a + 1097)/3
Let -21*a**4 - 438*a**3 + 3219*a**2 + 64548*a - 209088 = 0. What is a?
-132/7, -16, 3, 11
Solve -3*l**2 - 58467*l + 233916 = 0 for l.
-19493, 4
Determine x, given that 7*x**5/4 - 230*x**4 - 600*x**3 - 805*x**2/2 + 265*x/4 + 201/2 = 0.
-1, 3/7, 134
Suppose q**3 - 258*q**2 - 14112*q - 176256 = 0. Calculate q.
-24, 306
Factor -5*j**5 - 2645*j**4 - 345800*j**3 + 1061340*j**2.
-5*j**2*(j - 3)*(j + 266)**2
Determine m so that -5*m**4 - 4935*m**3 + 24760*m**2 - 39660*m + 19840 = 0.
-992, 1, 2
Factor -m**2/2 - 278816*m - 38869180928.
-(m + 278816)**2/2
Suppose m**5/6 - 5*m**4 + 277*m**3/6 - 88*m**2 - 1210*m/3 = 0. What is m?
-2, 0, 10, 11
Suppose y**5/6 - 8*y**4/3 - 59*y**3/2 - 60*y**2 = 0. Calculate y.
-5, -3, 0, 24
Find f such that -4*f**3 + 5836*f**2 - 58060*f + 144900 = 0.
5, 1449
Find z such that 8*z**3/21 - 6926*z**2/21 - 19246*z/7 + 15732/7 = 0.
-9, 3/4, 874
Suppose -225*m**3/4 - 197285*m**2/4 - 29550*m + 19715 = 0. Calculate m.
-7886/9, -1, 2/5
Solve -2*d**3/3 - 200*d**2/3 + 13750*d/3 - 62500 = 0 for d.
-150, 25
Factor -4*b**3 + 928*b**2 - 68820*b + 1591416.
-4*(b - 93)**2*(b - 46)
Solve -i**3/6 - 791*i**2/3 - 209611*i/2 - 415014 = 0 for i.
-789, -4
Factor -5*l**3 - 206185*l**2 - 412355*l - 206175.
-5*(l + 1)**2*(l + 41235)
Determine c, given that -c**2 - 134705*c + 269414 = 0.
-134707, 2
Find b such that b**5/4 - 47*b**4/2 + 111*b**3 + 53*b**2/2 - 1501*b/4 - 267 = 0.
-1, 3, 4, 89
Let 65*a**3 + 2083*a**2 + 16736*a + 768 = 0. What is a?
-16, -3/65
Find y such that 5*y**5 + 295*y**4 + 3285*y**3 - 875*y**2 - 9310*y + 6600 = 0.
-44, -15, -2, 1
Factor g**4/2 + 18*g**3 + 135*g**2 - 646*g - 5415/2.
(g - 5)*(g + 3)*(g + 19)**2/2
Determine r, given that -3*r**4/4 + 1593*r**3 + 31953*r**2/4 - 19161*r/2 = 0.
-6, 0, 1, 2129
Factor 2*c**3/5 + 598*c**2/5 + 43168*c/5 - 46208.
2*(c - 5)*(c + 152)**2/5
Solve x**2/5 - 29*x/5 + 154/5 = 0 for x.
7, 22
Factor 245*j**2 + 295*j - 1570.
5*(j - 2)*(49*j + 157)
Let -n**3/3 - 98756*n**2/3 - 2438186884*n/3 = 0. What is n?
-49378, 0
Factor -3*n**3/7 - 4614*n**2/7 - 1170795*n/7 + 498395592/7.
-3*(n - 216)*(n + 877)**2/7
Solve 3*g**3 - 9*g**2 + 6*g = 0.
0, 1, 2
Determine k, given that k**2 - 33813*k = 0.
0, 33813
Factor -2*o**3/3 - 110*o**2/3 + 344*o/3 - 232/3.
-2*(o - 2)*(o - 1)*(o + 58)/3
Determine k so that 2*k**2 + 292052*k + 10661796338 = 0.
-73013
Factor 5*t**4 + 9780*t**3 + 6286110*t**2 + 1267070900*t - 38988645435.
5*(t - 27)*(t + 661)**3
Factor m**3/3 + 1349*m**2/3 - 15020*m/3 - 27200.
(m - 15)*(m + 4)*(m + 1360)/3
Solve -z**5 + 38*z**4 + 327*z**3 - 440*z**2 - 4388*z - 5040 = 0 for z.
-7, -2, 4, 45
Solve n**5 - 2506*n**4 + 1577503*n**3 - 9382490*n**2 + 4662500*n + 15625000 = 0 for n.
-1, 2, 5, 1250
Find u such that -3*u**5 - 89670*u**4 - 670148724*u**3 - 1339580136*u**2 + 2680594944*u + 5359755264 = 0.
-14944, -2, 2
Factor 2*t**2 - 216*t + 4950.
2*(t - 75)*(t - 33)
Let -2*r**5/15 - 644*r**4/5 + 1938*r**3/5 = 0. Calculate r.
-969, 0, 3
Suppose 2*s**4 - 200*s**3 + 5788*s**2 - 58216*s + 127794 = 0. What is s?
3, 19, 59
Factor 2*x**2/3 + 5330*x/3 + 26500.
2*(x + 15)*(x + 2650)/3
Find x such that 18*x**4/11 + 14404*x**3/11 - 11254*x**2/11 - 32048*x/11 - 6408/11 = 0.
-801, -1, -2/9, 2
Factor 2*p**4 - 36*p**3 + 66*p**2 + 760*p + 936.
2*(p - 13)*(p - 9)*(p + 2)**2
Factor 18*d**3/7 + 83368*d**2/7 + 47608*d + 333184/7.
2*(d + 2)**2*(9*d + 41648)/7
Factor 5*q**4 - 50*q**3 + 45*q**2.
5*q**2*(q - 9)*(q - 1)
Factor s**5 - 16*s**4 + 61*s**3 - 62*s**2 - 52*s + 88.
(s - 11)*(s - 2)**3*(s + 1)
Suppose 2*h**3/5 - 18814*h**2/5 + 43416062*h/5 + 3920917566/5 = 0. What is h?
-87, 4747
Factor -5*b**3 + 25180*b**2 - 25175*b.
-5*b*(b - 5035)*(b - 1)
Let -x**3 - 43099*x**2 - 464359400*x + 464402500 = 0. What is x?
-21550, 1
Let 2*n**4 + 424*n**3 - 4466*n**2 - 5728*n + 9768 = 0. What is n?
-222, -2, 1, 11
Let 5*p**2 + 7747*p + 3098 = 0. Calculate p.
-1549, -2/5
Let -2*r**3/7 + 57850*r**2/7 + 8*r/7 - 231400/7 = 0. Calculate r.
-2, 2, 28925
Suppose 4*h**5 - 136*h**4 + 1344*h**3 - 3400*h**2 - 11396*h + 44688 = 0. What is h?
-3, 4, 7, 19
Suppose 2*p**2/21 - 16336*p/21 + 33358112/21 = 0. What is p?
4084
Let -4*h**2 + 5440*h - 175164 = 0. What is h?
33, 1327
Suppose -1792*k**2/5 + 96050*k + 1608/5 = 0. Calculate k.
-3/896, 268
Find m, given that 4*m**2 + 644*m - 25608 = 0.
-194, 33
Factor t**3/2 + 2547*t**2 - t/2 - 2547.
(t - 1)*(t + 1)*(t + 5094)/2
Suppose 3*q**5/8 - 1107*q**4/8