752*v**2 - 6656*v + 2560 = 0.
-40, 1, 2, 8
Factor d**2 - 7*d - 638.
(d - 29)*(d + 22)
Factor o**2/2 - 60813*o + 3698220969/2.
(o - 60813)**2/2
Find a, given that 87*a**2 + 10260*a - 21600 = 0.
-120, 60/29
Find w such that 4*w**2/5 - 1996*w/5 - 26624/5 = 0.
-13, 512
Find p, given that 4*p**3 - 2728*p**2 - 4*p + 2728 = 0.
-1, 1, 682
Let 2*u**4 - 84*u**3 + 618*u**2 + 3944*u = 0. What is u?
-4, 0, 17, 29
Let k**3 - 215*k**2 - 434*k = 0. Calculate k.
-2, 0, 217
Factor -2*y**3 - 172130*y**2 - 3704022400*y - 18515809000.
-2*(y + 5)*(y + 43030)**2
Factor n**5/3 - 109*n**4/3 + 1209*n**3 - 7605*n**2 - 158184*n.
n*(n - 39)**3*(n + 8)/3
Solve -142*l**3/5 + 15554*l**2/5 - 30682*l/5 + 3054 = 0.
1, 7635/71
Factor q**4 + 139*q**3 - 31878*q**2 + 1661060*q - 26962072.
(q - 46)**3*(q + 277)
Factor i**5 + 78*i**4 + 69*i**3 - 628*i**2 - 924*i.
i*(i - 3)*(i + 2)**2*(i + 77)
Suppose 4*h**5 - 48*h**4 - 844*h**3 - 1224*h**2 + 9072*h + 9504 = 0. What is h?
-6, -1, 3, 22
Factor -2*h**3/21 - 1096*h**2/3 - 15338*h/21 - 2556/7.
-2*(h + 1)**2*(h + 3834)/21
Let -4*m**5 + 1124*m**4 + 222440*m**3 = 0. Calculate m.
-134, 0, 415
Let -5*a**2 - 498950*a - 12447555125 = 0. Calculate a.
-49895
Find h, given that 2*h**2/19 - 50*h/19 + 272/19 = 0.
8, 17
Factor 4*b**3 - 7852*b**2 - 23608*b + 31456.
4*(b - 1966)*(b - 1)*(b + 4)
Suppose -o**2/3 + 1841*o/3 + 72912 = 0. What is o?
-112, 1953
Factor -2*z**3/3 + 2182*z**2 - 73610*z + 1872142/3.
-2*(z - 3239)*(z - 17)**2/3
Determine g, given that -3*g**2/2 + 690*g + 55167/2 = 0.
-37, 497
Suppose -3*r**3 - 4437*r**2 + 210186*r - 402600 = 0. What is r?
-1525, 2, 44
Factor o**2/7 + 137454*o/7 + 4723400529/7.
(o + 68727)**2/7
Determine n, given that 3*n**3 - 3060*n**2 - 709929*n - 37396866 = 0.
-101, 1222
Solve -n**2 + 3554*n - 17745 = 0 for n.
5, 3549
Factor -28*a**2 - 4152*a - 1184.
-4*(a + 148)*(7*a + 2)
Find d, given that -5*d**3 + 118870*d**2 - 706622700*d + 1412769960 = 0.
2, 11886
Factor u**4/2 - 8179*u**3/2 - 24543*u**2/2 - 24545*u/2 - 4091.
(u - 8182)*(u + 1)**3/2
Let 2*x**3/11 + 97512*x**2/11 - 2*x/11 - 97512/11 = 0. Calculate x.
-48756, -1, 1
Factor -2*y**2/9 + 23080*y/9 - 66585800/9.
-2*(y - 5770)**2/9
Determine o, given that 2*o**5/7 - 32*o**4/7 + 114*o**3/7 + 316*o**2/7 - 184*o - 336 = 0.
-2, 6, 7
Factor -3*d**2/7 + 7431*d/7.
-3*d*(d - 2477)/7
Factor -p**2/6 - 17327*p/2 + 103970/3.
-(p - 4)*(p + 51985)/6
Factor -g**3 + 407*g**2 - 48495*g + 1373049.
-(g - 183)**2*(g - 41)
Solve 2*y**3 - 84*y**2 - 938*y + 1020 = 0.
-10, 1, 51
Determine g, given that -g**3/9 - 2656*g**2/9 - 586975*g/3 + 392498 = 0.
-1329, 2
Solve 36*i**4/5 + 2476*i**3/5 + 34728*i**2/5 - 1568*i = 0.
-49, -20, 0, 2/9
Find n, given that -n**4/11 - 584*n**3/11 - 85263*n**2/11 + 584*n/11 + 85264/11 = 0.
-292, -1, 1
Factor -3*p**2 - 3708*p + 113940.
-3*(p - 30)*(p + 1266)
Factor 5*f**4 - 4370*f**3 - 13155*f**2.
5*f**2*(f - 877)*(f + 3)
Factor -z**4 + 64304*z**3 - 1034201134*z**2 + 14469364560*z - 50631750225.
-(z - 32145)**2*(z - 7)**2
Suppose -m**4/4 + 439*m**3/4 + 337*m**2 - 2425*m - 2652 = 0. What is m?
-6, -1, 4, 442
Factor 5*n**4 - 33160*n**3 - 5*n**2 + 33160*n.
5*n*(n - 6632)*(n - 1)*(n + 1)
Factor 405*f**2 + 981090*f + 594159005.
5*(9*f + 10901)**2
Determine y so that 2*y**5 - 338*y**4 + 12858*y**3 + 13538*y**2 - 12860*y - 13200 = 0.
-1, 1, 60, 110
Solve -5*f**3 + 2200*f**2 - 280000*f + 8000000 = 0.
40, 200
Find d, given that 4*d**4 + 40048*d**3 + 200172*d**2 + 320240*d + 160112 = 0.
-10007, -2, -1
Factor -b**2 - 1289*b - 190230.
-(b + 170)*(b + 1119)
Factor 6*s**2 + 26709*s - 13356.
3*(s + 4452)*(2*s - 1)
Let 9*c**5/4 + 75*c**4/8 + 51*c**3/4 + 51*c**2/8 + 3*c/4 = 0. What is c?
-2, -1, -1/6, 0
Find g such that g**3/8 - 445*g**2/8 - 7871*g/4 - 1912 = 0.
-32, -1, 478
Suppose k**5/4 + 29*k**4/4 + 51*k**3/4 - 81*k**2/4 = 0. Calculate k.
-27, -3, 0, 1
Suppose -15*x**4/4 + 624*x**3 + 59229*x**2/4 + 158565*x/2 - 34122 = 0. What is x?
-11, 2/5, 188
Solve 2*k**4/15 + 50*k**3/3 - 2*k**2/5 - 746*k/15 + 100/3 = 0.
-125, -2, 1
Find n such that -4*n**5 - 332*n**4 - 8336*n**3 - 55696*n**2 + 33408*n + 228096 = 0.
-36, -11, -2, 2
Determine i so that 3*i**5 - 111*i**4 - 9609*i**3 + 388419*i**2 - 747582*i + 368880 = 0.
-58, 1, 40, 53
Let s**5 - 284986*s**4 = 0. Calculate s.
0, 284986
Factor d**2/6 - 13*d/3 - 4125/2.
(d - 125)*(d + 99)/6
Find u, given that 4*u**4 - 200*u**3 - 1772*u**2 + 10032*u = 0.
-11, 0, 4, 57
Solve -8168464928*z**2/5 - 255632*z - 10 = 0 for z.
-5/63908
Solve 2*w**4/7 + 192*w**3/7 + 460*w**2/7 - 9024*w/7 + 8370/7 = 0.
-93, -9, 1, 5
Factor -2*u**3/3 - 80*u**2/3 - 1006*u/3 - 3952/3.
-2*(u + 8)*(u + 13)*(u + 19)/3
Suppose 2*d**5/15 - 320*d**4/3 + 108778*d**3/5 - 844272*d**2/5 + 313632*d = 0. Calculate d.
0, 3, 5, 396
Factor 13*g**2 + 4215*g - 3250.
(g + 325)*(13*g - 10)
Factor 5*l**3 + 175885*l**2 + 1546688715*l - 1546864605.
5*(l - 1)*(l + 17589)**2
Let -2*o**2 + 354*o = 0. What is o?
0, 177
Find q such that -2*q**3/3 + 1517*q**2/3 + 1777*q + 762 = 0.
-3, -1/2, 762
Find h such that -4*h**5 + 48*h**4 + 2592*h**3 - 31104*h**2 - 419904*h + 5038848 = 0.
-18, 12, 18
Factor 3*p**4/2 + 2565*p**3 + 2218575*p**2/2 + 10901250*p + 27093750.
3*(p + 5)**2*(p + 850)**2/2
What is z in -z**3 + 1468*z**2 - 14580*z = 0?
0, 10, 1458
Suppose -14*o**2/3 - 16138*o/3 + 4612/3 = 0. Calculate o.
-1153, 2/7
Let -5*y**3 + 5220*y**2 - 1488000*y + 63964160 = 0. Calculate y.
52, 496
Let -l**2/2 - 130981*l - 17156022361/2 = 0. Calculate l.
-130981
Factor 196*g**2 - 1757*g - 320.
(7*g - 64)*(28*g + 5)
Find b, given that 2*b**4 + 804*b**3 - 20502*b**2 - 22904*b + 42600 = 0.
-426, -2, 1, 25
Factor 2*c**2 - 51546*c - 154656.
2*(c - 25776)*(c + 3)
Factor 5*r**2 + 19350*r + 18721125.
5*(r + 1935)**2
Suppose 44*m**3 - 19972*m**2 - 21836*m - 1820 = 0. Calculate m.
-1, -1/11, 455
Factor d**3/5 + 2141*d**2/5 + 2138*d/5 - 856.
(d - 1)*(d + 2)*(d + 2140)/5
Solve 4*x**4 - 4272*x**3 - 12844*x**2 - 8568*x = 0 for x.
-2, -1, 0, 1071
Factor o**3/4 - 6560*o**2 + 52477*o/4 - 13119/2.
(o - 26238)*(o - 1)**2/4
Let -2*f**2 + 142*f - 1908 = 0. What is f?
18, 53
Find y, given that 10*y**3/13 + 1954*y**2/13 - 5344*y - 71416/13 = 0.
-226, -1, 158/5
Suppose 4*w**5 + 268*w**4 + 468*w**3 - 3532*w**2 - 9976*w - 6240 = 0. What is w?
-65, -3, -2, -1, 4
Let -l**3/8 - 11755*l**2/4 - 17269564*l + 34550884 = 0. What is l?
-11756, 2
Determine v, given that v**4/4 - 5*v**3 - 269*v**2/2 - 805*v - 5439/4 = 0.
-7, -3, 37
Factor 2*m**3/9 + 88*m**2/9 - 19126*m/9 - 362372/3.
2*(m - 102)*(m + 73)**2/9
Find q such that -2*q**3/3 - 328*q**2/3 - 1882*q/3 + 2212/3 = 0.
-158, -7, 1
Factor 3*n**2 + 17775*n - 71148.
3*(n - 4)*(n + 5929)
Determine h, given that 5*h**3 + 26015*h**2 - 52045*h + 26025 = 0.
-5205, 1
Solve -12*y**3 - 5704*y**2 + 32668*y - 19240 = 0 for y.
-481, 2/3, 5
What is l in -2*l**2/9 + 1510*l + 13592/9 = 0?
-1, 6796
Factor -5*w**3/3 + 49*w**2/2 - 116*w + 536/3.
-(w - 4)**2*(10*w - 67)/6
Suppose 2*d**5 - 24*d**4 - 20*d**3 + 552*d**2 - 990*d = 0. What is d?
-5, 0, 3, 11
Factor -b**2/4 + 111145*b/2 - 12353211025/4.
-(b - 111145)**2/4
Find k such that 2*k**2/17 + 17272*k + 633934216 = 0.
-73406
Factor -w**2/7 + 73086*w/7 - 1335390849/7.
-(w - 36543)**2/7
Find u, given that 3*u**3/8 + 7065*u**2/8 + 14121*u/8 + 7059/8 = 0.
-2353, -1
Find d such that -4*d**5 - 4*d**4 + 492*d**3 + 1892*d**2 - 3304*d - 4704 = 0.
-7, -1, 2, 12
Factor 24*p**4/5 - 777*p**3/5 + 1458*p**2/5.
3*p**2*(p - 2)*(8*p - 243)/5
Suppose 2*s**4/7 - 8*s**3/7 - 3960*s**2/7 + 46656*s/7 - 138240/7 = 0. What is s?
-48, 6, 40
Let -o**2/5 - 1936*o/5 - 23088/5 = 0. Calculate o.
-1924, -12
Solve 5*m**2 + 18665*m - 149640 = 0.
-3741, 8
Suppose 22*w**4/3 + 2576*w**3/3 + 2786*w**2/3 + 232*w/3 = 0. Calculate w.
-116, -1, -1/11, 0
Factor -m**4 - 30*m**3 + 32*m**2 + 30*m - 31.
-(m - 1)**2*(m + 1)*(m + 31)
Factor 2*g**3/11 + 2890*g**2/11 + 40166*g/11 + 140238/11.
2*(g + 7)**2*(g + 1431)/11
Solve -n**3/3 + 11753*n**2/3 = 0 for n.
0, 11753
Solve 10*w**3/7 + 48*w**2/7 - 664*w/7 - 1440/7 = 0 for w.
-10, -2, 36/5
Suppose 3*d**5 - 339*d**4 - 348*d**3 + 684*d**2 = 0. Calculate d.
-2, 0, 1, 114
Suppose -2301*v**5/5 - 5523*v**4/5 - 4233*v**3/5 - 1101*v**2/5 - 18*v = 0. Calculate v.
-1, -3/13, -10/59, 0
Determine k, given that -2*k**4/9 + 34*k**3/3 + 3214*k**2/9 - 34*k/3 - 3212/9 = 0.
-22, -1,