given that 2*a**5 + 626*a**4 + 49284*a**3 + 44928*a**2 - 292032*a = 0.
-156, -3, 0, 2
Factor -b**3/2 - 646*b**2 + 12995*b/2 - 16275.
-(b - 5)**2*(b + 1302)/2
Suppose -u**5 - 746*u**4 - 179808*u**3 - 12525568*u**2 + 350224384*u - 1610612736 = 0. Calculate u.
-256, 6, 16
Factor -6*z**3 - 454*z**2 - 10362*z - 63162.
-2*(z + 33)**2*(3*z + 29)
Let -5*t**2 - 1275155*t + 1275160 = 0. What is t?
-255032, 1
Determine y, given that -4*y**3 - 19264*y**2 - 23077840*y + 279715008 = 0.
-2414, 12
Factor -q**2/2 + 157116*q - 12342718728.
-(q - 157116)**2/2
Factor 3*f**2/2 + 230217*f/2 + 115107.
3*(f + 1)*(f + 76738)/2
Factor -5*t**2 - 3270*t - 3265.
-5*(t + 1)*(t + 653)
Factor -3*z**2/2 - 4561743*z - 6936499732683/2.
-3*(z + 1520581)**2/2
Find l, given that 2*l**2/17 + 2576*l + 14101024 = 0.
-10948
Factor -3*v**3 + 51729*v**2 + 103494*v - 413880.
-3*(v - 17245)*(v - 2)*(v + 4)
Let -5*w**3 - 195*w**2 + 5970*w + 26680 = 0. Calculate w.
-58, -4, 23
Let -c**5/10 - 316*c**4/5 - 125*c**3/2 + 1893*c**2/5 = 0. What is c?
-631, -3, 0, 2
What is f in -4*f**4 + 16820*f**3 + 185428*f**2 + 320380*f + 151776 = 0?
-9, -1, 4216
Solve 15*i**5 - 16400*i**4 + 103255*i**3 + 11090*i**2 - 239020*i - 130440 = 0.
-1, -2/3, 2, 6, 1087
Find r, given that -3*r**3/5 + 10239*r**2/5 + 10242*r/5 = 0.
-1, 0, 3414
Find k such that -2*k**2/7 - 6386*k/7 + 6388/7 = 0.
-3194, 1
Factor 2*x**3 + 2094*x**2/11 + 380*x/11.
2*x*(x + 95)*(11*x + 2)/11
Suppose y**3/4 + 1299*y**2/4 + 108480*y + 1945600 = 0. What is y?
-640, -19
Factor -2*k**2/19 + 704*k/19 - 8814/19.
-2*(k - 339)*(k - 13)/19
What is v in 18*v**3 + 22346*v**2 + 32196*v - 54560 = 0?
-1240, -22/9, 1
Factor 2*k**2 + 175854*k.
2*k*(k + 87927)
Factor 3*a**2/4 - 39*a/4 - 11421/2.
3*(a - 94)*(a + 81)/4
Factor 4*l**2 - 9276*l + 220320.
4*(l - 2295)*(l - 24)
Find o such that 5*o**4 + 1795*o**3 + 25935*o**2 + 45225*o - 417960 = 0.
-344, -9, 3
Determine u, given that 22*u**2/9 - 108*u + 560 = 0.
6, 420/11
Factor -2*l**2/3 - 212*l - 13680.
-2*(l + 90)*(l + 228)/3
Let -c**2/3 - 362*c/3 + 861 = 0. What is c?
-369, 7
Let -2*t**2/19 + 79636*t/19 - 79634/19 = 0. Calculate t.
1, 39817
Let p**2 + 208538*p + 10872024361 = 0. Calculate p.
-104269
Factor c**4/5 + 27332*c**3/5 + 186786886*c**2/5 + 74698356*c + 37346445.
(c + 1)**2*(c + 13665)**2/5
Find y such that -y**4/6 - 2218*y**3/3 - 822870*y**2 - 6535728*y = 0.
-2214, -8, 0
Solve 3*g**4/4 - 117*g**3/2 - 12096*g**2 - 822171*g/2 - 9227043/4 = 0.
-49, -7, 183
Find z such that 3*z**3/7 - 981*z**2/7 - 17445*z + 123093/7 = 0.
-97, 1, 423
Suppose 5*d**2/4 - 34190*d + 233791220 = 0. What is d?
13676
Suppose 2*v**4/3 + 209*v**3/3 + 4541*v**2/3 + 636*v - 2220 = 0. Calculate v.
-74, -30, -3/2, 1
Determine y, given that 4*y**2 - 2300*y - 45144 = 0.
-19, 594
Factor d**3 + 1673*d**2 + 13336*d + 26640.
(d + 4)**2*(d + 1665)
Factor -5*l**4 + 2270*l**3 - 374565*l**2 + 26540840*l - 683514320.
-5*(l - 148)**2*(l - 79)**2
Suppose 2*c**2/13 - 33452*c/13 + 901746/13 = 0. Calculate c.
27, 16699
Let -i**3/7 - 331*i**2/7 - 1303*i/7 + 1635/7 = 0. What is i?
-327, -5, 1
Factor 5*q**2 + 2059*q - 2478.
(q + 413)*(5*q - 6)
Determine z so that -2*z**4/19 + 8926*z**3/19 - 124670*z**2/19 + 436002*z/19 = 0.
0, 7, 4449
Suppose 3*h**5/5 + 708*h**4/5 + 4137*h**3/5 - 156*h**2 - 4140*h = 0. Calculate h.
-230, -5, -3, 0, 2
Factor -3*a**3 + 156*a**2 - 1632*a - 9216.
-3*(a - 32)*(a - 24)*(a + 4)
Find z such that -2*z**5 - 118*z**4 + 5188*z**3 - 55636*z**2 + 202174*z - 151606 = 0.
-91, 1, 7, 17
Factor 4*w**2/3 + 24961*w/3 + 2080.
(w + 6240)*(4*w + 1)/3
Solve -2*r**2 + 88*r - 518 = 0 for r.
7, 37
Let -70*t**4 + 189048*t**3 - 1261088*t**2 + 797472*t - 129312 = 0. Calculate t.
2/7, 2/5, 6, 2694
Determine x so that 2*x**3 - 16*x**2 - 416*x - 1280 = 0.
-8, -4, 20
Factor -3*x**3 + 87*x**2 + 6426*x.
-3*x*(x - 63)*(x + 34)
Determine h so that -2*h**4/3 - 658*h**3/3 + 57878*h**2/3 - 326558*h/3 + 89780 = 0.
-402, 1, 5, 67
Determine f so that -150*f**5/7 + 1220*f**4/7 + 96*f**3/7 - 13284*f**2/7 + 4374*f/7 = 0.
-3, 0, 1/3, 27/5
Suppose -3*l**4/4 - 1281*l**3/8 - 39075*l**2/4 - 249459*l/2 + 64827 = 0. Calculate l.
-98, -18, 1/2
Solve 4*b**3/5 + 1572*b**2/5 + 5368*b - 12000 = 0 for b.
-375, -20, 2
Factor w**4/4 + 3*w**3 + 39*w**2/4 + 7*w.
w*(w + 1)*(w + 4)*(w + 7)/4
Factor n**2 - 10178*n.
n*(n - 10178)
Factor -2*o**3 + 8192*o**2 - 8186*o - 16380.
-2*(o - 4095)*(o - 2)*(o + 1)
Factor 2*j**2/9 - 7832*j + 69007752.
2*(j - 17622)**2/9
Factor -q**2 + 192936*q - 9306075024.
-(q - 96468)**2
Suppose -2*m**5 - 97*m**4 + 2294*m**3 - 1073*m**2 - 1122*m = 0. Calculate m.
-66, -1/2, 0, 1, 17
Suppose w**3 - 7*w**2 - 1173*w + 10395 = 0. What is w?
-35, 9, 33
Factor -4*f**2/7 - 492776*f/7 + 985568/7.
-4*(f - 2)*(f + 123196)/7
Factor 3*m**4/2 + 135*m**3/2 + 189*m**2.
3*m**2*(m + 3)*(m + 42)/2
Factor -4*t**3 + 500*t**2 - 988*t + 492.
-4*(t - 123)*(t - 1)**2
Factor -2*r**2/5 - 398*r/5 + 1376.
-2*(r - 16)*(r + 215)/5
Suppose 3*x**3 - 4587*x**2 + 36552*x - 73008 = 0. Calculate x.
4, 1521
Factor -2*c**3 - 550*c**2 + 3404*c + 8992.
-2*(c - 8)*(c + 2)*(c + 281)
Suppose 4*t**3/5 + 118528*t**2/5 + 47408*t = 0. Calculate t.
-29630, -2, 0
Factor 2*h**3 - 2354*h**2 + 46430*h - 173550.
2*(h - 1157)*(h - 15)*(h - 5)
Let 5*s**4 + 1215*s**3 - 76705*s**2 - 1215*s + 76700 = 0. Calculate s.
-295, -1, 1, 52
Factor n**5 + 714*n**4 + 128869*n**3 + 506940*n**2 + 504100*n.
n*(n + 2)**2*(n + 355)**2
Determine p, given that p**2 - 234202*p + 234201 = 0.
1, 234201
Factor 2*d**2/19 - 7322*d/19 - 102900/19.
2*(d - 3675)*(d + 14)/19
Determine m, given that 10*m**5/3 + 64*m**4/3 - 5216*m**3/3 + 38164*m**2/3 - 18986*m/3 - 14036/3 = 0.
-29, -2/5, 1, 11
Let -c**3/5 - 2278*c**2/5 + 13699*c/5 - 2284 = 0. Calculate c.
-2284, 1, 5
Factor -6*p**4 + 328*p**3 - 6660*p**2 + 59400*p - 195750.
-2*(p - 15)**3*(3*p - 29)
Suppose -4*g**2 + 1888*g + 7616 = 0. What is g?
-4, 476
Solve 2*o**3/9 - 566*o**2/9 + 45326*o/9 - 240254/3 = 0 for o.
21, 131
Solve -n**5 + 93*n**4 + 1345*n**3 + 3467*n**2 + 3276*n + 1060 = 0 for n.
-10, -1, 106
Determine z, given that -6*z**5/7 - 12*z**4/7 + 3000*z**3/7 + 4560*z**2 + 91776*z/7 + 79872/7 = 0.
-16, -8, -2, 26
Let 3*z**3/5 - 18*z**2 + 699*z/5 - 612/5 = 0. What is z?
1, 12, 17
Factor -t**2/4 + 11977*t/4 - 59785.
-(t - 11957)*(t - 20)/4
Suppose -x**2 + 51841*x - 51840 = 0. What is x?
1, 51840
Solve -3*f**3 - 6147*f**2 - 6144*f = 0 for f.
-2048, -1, 0
What is d in 3*d**2/4 + 174393*d + 348783 = 0?
-232522, -2
Factor -3*j**3/7 - 4455*j**2/7 + 4458*j/7.
-3*j*(j - 1)*(j + 1486)/7
Solve -4*w**4/3 - 1744*w**3/3 + 142256*w**2/3 + 97152*w = 0 for w.
-506, -2, 0, 72
Solve -15*h**2 + 21625*h + 7210 = 0.
-1/3, 1442
Factor -5*z**2 + 10230*z - 10225.
-5*(z - 2045)*(z - 1)
Determine n so that 2*n**3 - 96*n**2 + 870*n - 2072 = 0.
4, 7, 37
Factor 512*i**2/25 - 6665664*i/25 + 21694861602/25.
2*(16*i - 104151)**2/25
Solve i**3 + 475*i**2 + 28279*i - 28755 = 0.
-405, -71, 1
Factor 2*y**3/5 + 548*y**2/5 - 1104*y/5.
2*y*(y - 2)*(y + 276)/5
Factor -9*f**3 - 8832*f**2 + 41388*f - 23664.
-3*(f - 4)*(f + 986)*(3*f - 2)
What is r in -2*r**5 - 92*r**4/3 - 44*r**3 + 256*r**2 + 1594*r/3 + 260 = 0?
-13, -10/3, -1, 3
Suppose -3*a**3/5 + 153*a**2 - 49896*a/5 + 142884/5 = 0. Calculate a.
3, 126
Factor 2*q**2 + 33366*q - 66740.
2*(q - 2)*(q + 16685)
Solve -u**4/3 + 7*u**3 - 30*u**2 - 112*u/3 = 0.
-1, 0, 8, 14
Let -4*w**3 + 128*w**2 - 448*w = 0. What is w?
0, 4, 28
Find y, given that 2*y**4/9 - 3974*y**3/9 + 215986*y**2 + 30196166*y/9 - 68136068/9 = 0.
-17, 2, 1001
Factor 49*f**4 + 938*f**3 - 1860*f**2 + 1062*f - 189.
(f - 1)*(f + 21)*(7*f - 3)**2
Factor -3*q**2 - 681*q.
-3*q*(q + 227)
Find k, given that -4*k**2 + 49464*k + 49468 = 0.
-1, 12367
Factor 2*v**5/13 + 22*v**4/13 + 86*v**3/13 + 146*v**2/13 + 112*v/13 + 32/13.
2*(v + 1)**3*(v + 4)**2/13
Solve d**3/4 + 6283*d**2/4 + 7849*d + 9417 = 0 for d.
-6278, -3, -2
Suppose 4*v**4/3 + 116*v**3/3 - 152*v**2/3 - 304*v + 480 = 0. What is v?
-30, -3, 2
Factor f**3/2 - 297*f**2/2 - 1680*f - 4312.
(f - 308)*(f + 4)*(f + 7)/2
Factor -f**3 + 1793*f**2 - 14296*f + 28560.
-(f - 1785)*(f - 4)**2
Factor -9*m**3 - 5146*m**2 + 21880*m - 4608.
-(m - 4)*(m + 576)*(9*m - 2)
Factor -4*m**2/7 + 2988*m/7 - 2120.
-4*(m - 742)*(m - 5)/7
Factor 2*w**3 - 131510*w**2 + 2161925766*w - 2161794258.
2*(w -