*2/5 + 2236*j/5 - 13776 = 0.
-1148, -6, 5
Factor -r**3/7 - 5408*r**2/7 - 53989*r/7 - 48582/7.
-(r + 1)*(r + 9)*(r + 5398)/7
Solve 2*z**3 + 2107*z**2 + 3151*z - 5260 = 0.
-1052, -5/2, 1
Factor 2*r**3/9 + 50162*r**2/9.
2*r**2*(r + 25081)/9
What is n in -2*n**3/11 + 122*n**2/11 + 112*n + 1960/11 = 0?
-7, -2, 70
Find n, given that -n**5/2 + 69*n**4 - 917*n**3/2 = 0.
0, 7, 131
Suppose -273*m**4/4 - 17*m**3/2 + 273*m**2 + 34*m = 0. Calculate m.
-2, -34/273, 0, 2
Suppose 2*a**5/5 - 399*a**4/10 + 4943*a**3/5 + 3909*a**2/10 - 3590*a + 2250 = 0. Calculate a.
-9/4, 1, 50
Suppose -3*z**4 + 252*z**3 + 1323*z**2 + 1068*z = 0. Calculate z.
-4, -1, 0, 89
Factor -2*v**3/13 - 1388*v**2/13 + 20680*v/13 + 108682800/13.
-2*(v - 246)*(v + 470)**2/13
Factor -2*g**2/13 + 424*g/13 + 2170/13.
-2*(g - 217)*(g + 5)/13
Find y, given that -5*y**3 - 260*y**2 - 1245*y + 6210 = 0.
-46, -9, 3
Factor 4*r**3 + 4468*r**2 - 8948*r + 4476.
4*(r - 1)**2*(r + 1119)
Find j, given that j**5/8 + 308*j**4 + 1517821*j**3/8 - 3697*j**2/4 - 569800*j - 379456 = 0.
-1232, -1, 2
Suppose x**4/3 - 415*x**3/3 + 18207*x**2 - 980343*x + 18836874 = 0. Calculate x.
63, 226
Determine r so that -2*r**3/5 + 392*r**2/5 + 26502*r/5 - 26892/5 = 0.
-54, 1, 249
Factor -3*t**3/2 - 504*t**2 - 13671*t/2 + 6922083.
-3*(t - 98)*(t + 217)**2/2
Factor -3*k**2/4 + 57*k/4 - 135/2.
-3*(k - 10)*(k - 9)/4
Determine z, given that -z**5 + 44*z**4 - 108*z**3 - 598*z**2 - 691*z - 246 = 0.
-1, 6, 41
Factor 5*w**2 - 25190*w + 726305.
5*(w - 5009)*(w - 29)
Factor -2*f**3/3 - 1284*f**2 + 11610*f.
-2*f*(f - 9)*(f + 1935)/3
Determine j so that -j**2 + 18874*j - 89056969 = 0.
9437
Solve -q**3/2 - 707529*q**2/2 = 0.
-707529, 0
Determine b so that 21*b**3 + 534864*b**2 + 382029*b - 152814 = 0.
-25469, -1, 2/7
Solve -j**3/4 + 81*j**2/2 - 4587*j/4 - 2375/2 = 0.
-1, 38, 125
Determine k so that 2*k**3/3 - 30096*k**2 = 0.
0, 45144
Solve -3*s**4 - 29331*s**3 + 88047*s**2 + 264075*s + 146700 = 0 for s.
-9780, -1, 5
Factor -52*q**2/17 + 33906*q/17 - 1304/17.
-2*(q - 652)*(26*q - 1)/17
Determine m so that -2*m**4/9 + 4918*m**3/9 - 1005314*m**2/3 - 9111862*m/9 + 12122888/9 = 0.
-4, 1, 1231
Let 4222805*r**3 + 88697285*r**2 + 386000*r + 420 = 0. What is r?
-21, -2/919
Let -2*m**5 + 46*m**4/7 + 6120*m**3/7 - 49240*m**2/7 + 106304*m/7 - 26496/7 = 0. What is m?
-23, 2/7, 4, 18
Factor f**3/6 - 779*f**2/6 + 165095*f/6 - 5092717/6.
(f - 371)**2*(f - 37)/6
Solve -2*k**3/7 + 4188*k**2/7 - 49968*k/7 = 0 for k.
0, 12, 2082
Find j such that 14*j**5/11 + 116*j**4 - 13778*j**3/11 + 17048*j**2/11 + 90264*j/11 + 58176/11 = 0.
-101, -8/7, -1, 6
What is d in d**3/9 - 59*d**2 + 2624*d/9 + 1052/3 = 0?
-1, 6, 526
Solve -2*n**3 + 81482*n**2 + 2119546*n + 13779246 = 0 for n.
-13, 40767
Find n such that -4*n**4 - 5732*n**3 - 51324*n**2 - 85340*n + 142400 = 0.
-1424, -5, 1
Factor -c**3/4 - 5943*c**2/4 - 8712783*c/4 + 348897159/4.
-(c - 39)*(c + 2991)**2/4
Find n, given that -n**2/6 - 456*n - 51623/6 = 0.
-2717, -19
Let p**3/3 - 381*p**2 + 4509*p + 16965 = 0. Calculate p.
-3, 15, 1131
Find y, given that 2*y**2 + 9364*y + 10960562 = 0.
-2341
Find k such that -k**2/10 - 154*k/5 - 906/5 = 0.
-302, -6
Solve -s**3/2 - 107*s**2/2 + 228*s + 666 = 0 for s.
-111, -2, 6
Solve i**5 + 170*i**4 + 5557*i**3 + 45528*i**2 - 114660*i = 0 for i.
-130, -21, 0, 2
Factor -3*u**2 - 138*u - 504.
-3*(u + 4)*(u + 42)
Solve -2*v**5/5 - 504*v**4/5 - 8022*v**3/5 - 1504*v**2 = 0 for v.
-235, -16, -1, 0
Suppose -8*t**4/11 + 282*t**3/11 - 2278*t**2/11 + 552*t/11 = 0. What is t?
0, 1/4, 12, 23
Solve 6*i**5/7 - 390*i**4/7 + 876*i**3 + 6924*i**2/7 - 6138*i/7 - 6534/7 = 0 for i.
-1, 1, 33
Suppose -2*q**5/15 - 148*q**4/15 - 1298*q**3/15 - 384*q**2/5 = 0. What is q?
-64, -9, -1, 0
Solve 2*o**5 + 134*o**4 + 510*o**3 + 370*o**2 - 512*o - 504 = 0 for o.
-63, -2, -1, 1
Factor -3*k**3 - 27*k**2 + 3*k + 315.
-3*(k - 3)*(k + 5)*(k + 7)
Factor i**2/4 + 69*i/2 + 1034.
(i + 44)*(i + 94)/4
Factor 5*c**4 + 13765*c**3 + 13482900*c**2 + 5367451760*c + 664338800320.
5*(c + 221)*(c + 844)**3
Find h such that 8*h**4 - 12244*h**3 - 1465112*h**2 + 735616*h = 0.
-112, 0, 1/2, 1642
What is m in 9075*m**2/4 + 415305*m + 19005867 = 0?
-5034/55
Find s such that 6*s**4/5 + 243*s**3 - 90237*s**2/5 - 139266*s/5 + 18408 = 0.
-260, -2, 1/2, 59
Determine u, given that -2*u**2 + 10340*u - 10338 = 0.
1, 5169
Factor 14*l**2/3 + 222*l.
2*l*(7*l + 333)/3
Let -12*s**4 + 16934*s**3 - 103978*s**2 + 11216*s + 33720 = 0. Calculate s.
-1/2, 2/3, 6, 1405
Factor -3*l**5 - 19467*l**4 - 42126570*l**3 - 30443351172*l**2 - 90951439752*l.
-3*l*(l + 3)*(l + 2162)**3
Factor v**3/4 + 491*v**2 + 909109*v/4 - 27488187/2.
(v - 54)*(v + 1009)**2/4
Let z**2 - 99596*z + 2479840804 = 0. Calculate z.
49798
Find u, given that -u**3 + 100*u**2 + 5200*u + 56000 = 0.
-20, 140
Let -4*n**4 + 4936*n**3 + 24784*n**2 - 4936*n - 24780 = 0. Calculate n.
-5, -1, 1, 1239
Factor -375*b**4 + 1155825*b**3 - 1386630*b**2 + 554604*b - 73944.
-3*(b - 3081)*(5*b - 2)**3
Let 2*b**2 - 87860*b + 964922450 = 0. Calculate b.
21965
What is z in 8*z**3 - 274*z**2 + 2080*z + 4522 = 0?
-7/4, 17, 19
Suppose -3*m**2/4 - 1113*m/4 + 1119/2 = 0. Calculate m.
-373, 2
Determine a, given that -4*a**2 + 922608*a - 53200345104 = 0.
115326
Factor -2*d**2 + 1200*d - 7128.
-2*(d - 594)*(d - 6)
Let 2*g**5/5 + 206*g**4 + 93172*g**3/5 - 2143448*g**2 + 6257040*g = 0. Calculate g.
-290, 0, 3, 62
Find k such that 2*k**4 - 78*k**3 + 840*k**2 - 544*k - 21120 = 0.
-4, 11, 12, 20
Factor -3*o**4 - 344*o**3 - 9255*o**2 + 35754*o + 27848.
-(o - 4)*(o + 59)**2*(3*o + 2)
Suppose -4*c**2/7 - 437320*c - 83671342300 = 0. Calculate c.
-382655
Suppose 1092025*x**4/8 - 7097640*x**3 + 92248943*x**2 + 353184*x + 338 = 0. Calculate x.
-2/1045, 26
Factor 3*w**3/7 - 104481*w**2/7 + 909742185*w/7 - 909637707/7.
3*(w - 17413)**2*(w - 1)/7
Solve 9*y**2 + 28770*y + 22992025 = 0 for y.
-4795/3
Solve -35*j**4 + 9635*j**3 - 608355*j**2 - 7699835*j + 2249390 = 0 for j.
-11, 2/7, 143
Find b, given that 4*b**5 + 696*b**4 - 16*b**3 - 2784*b**2 = 0.
-174, -2, 0, 2
Determine t, given that 846*t**3/11 - 3386*t**2/11 + 2546*t/11 - 6/11 = 0.
1/423, 1, 3
Factor -2*o**2 + 3248*o + 35970.
-2*(o - 1635)*(o + 11)
Suppose 2*a**4 - 42*a**3 - 2556*a**2 + 5264*a = 0. What is a?
-28, 0, 2, 47
Determine f, given that 2*f**5 + 82*f**4 - 4404*f**3 + 4320*f**2 = 0.
-72, 0, 1, 30
Factor 2*b**4 - 6272*b**3 + 4923516*b**2 - 9828224*b + 4910978.
2*(b - 1567)**2*(b - 1)**2
Factor -2*y**3/9 + 1840*y**2/9 - 3674*y/9 + 204.
-2*(y - 918)*(y - 1)**2/9
Factor p**2/2 + 1015*p - 34799/2.
(p - 17)*(p + 2047)/2
Determine n, given that -2*n**4/5 + 2688*n**3/5 - 1074*n**2 + 2684*n/5 = 0.
0, 1, 1342
Find h, given that -5*h**5 - 4785*h**4 - 1161205*h**3 - 7735175*h**2 + 38546250*h + 45125000 = 0.
-475, -10, -1, 4
Factor -3*c**3/7 + 12912*c**2/7 - 257340*c/7 + 183600.
-3*(c - 4284)*(c - 10)**2/7
Factor 122018*w**3 + 377910*w**2 + 35856*w + 864.
2*(w + 3)*(247*w + 12)**2
Factor 2*c**2 - 2*c - 40.
2*(c - 5)*(c + 4)
Let k**5/3 - 380*k**4/3 + 13000*k**3 - 548960*k**2/3 + 1739920*k/3 - 529984 = 0. What is k?
2, 12, 182
Let -2*s**2/3 - 15328*s + 91976/3 = 0. Calculate s.
-22994, 2
Suppose 2*b**5/9 + 76*b**4/9 + 616*b**3/9 + 476*b**2/9 - 346*b + 216 = 0. Calculate b.
-27, -9, -4, 1
What is c in -c**2/7 - 983*c - 456538/7 = 0?
-6814, -67
What is p in -295*p**2/2 - 2173*p/2 + 37 = 0?
-37/5, 2/59
Suppose -m**2/4 - 11507*m - 132411049 = 0. What is m?
-23014
Let -t**3 + 6395*t**2 = 0. What is t?
0, 6395
Solve t**3 - 16351*t**2 + 32699*t - 16349 = 0.
1, 16349
Suppose -4*r**4 + 5336*r**3 - 26608*r**2 + 37224*r - 15948 = 0. What is r?
1, 3, 1329
Factor 5*k**2 + 36240*k - 145040.
5*(k - 4)*(k + 7252)
Factor -h**3/2 + 211951*h**2.
-h**2*(h - 423902)/2
Factor 2*y**3/5 - 1208*y**2 + 4443274*y/5 + 177675916/5.
2*(y - 1529)**2*(y + 38)/5
Factor -4*v**3/3 - 4168*v**2/3 - 711620*v/3 + 209582800/3.
-4*(v - 148)*(v + 595)**2/3
Find c such that -125*c**5 - 177275*c**4 + 567695*c**3/4 + 67405*c**2/2 + 7095*c/4 = 0.
-1419, -1/10, 0, 1
Determine p, given that 3*p**4/2 - 108*p**3 - 14841*p**2/2 + 475887*p + 4220568 = 0.
-66, -8, 73
Determine w so that -2*w**4 - 142*w**3 + 464*w**2 + 1480*w = 0.
-74, -2, 0, 5
Solve -14*k**4/9 + 30*k**3 + 40*k**2/3 - 16520*k/9 + 1568/3 = 0.
-7, 2/7, 12, 14
Suppose -32875*