*(v + 43)*(v + 50)/3
Suppose 2*d**5/11 + 30*d**4/11 + 94*d**3/11 + 58*d**2/11 - 96*d/11 - 8 = 0. Calculate d.
-11, -2, -1, 1
Solve -2*y**5/7 + 90*y**4/7 - 1088*y**3/7 + 2664*y**2/7 - 1664*y/7 = 0.
0, 1, 2, 16, 26
Factor p**2/4 + 155*p/4 + 1386.
(p + 56)*(p + 99)/4
Solve p**3/2 + 35*p**2/2 + 128*p - 330 = 0.
-22, -15, 2
Factor 2*b**2 - 2366*b - 9496.
2*(b - 1187)*(b + 4)
Find g such that -g**2 - 752*g + 9945 = 0.
-765, 13
Suppose 3*j**4 + 3066*j**3 + 399603*j**2 - 196101360*j + 12272644800 = 0. What is j?
-615, 104
Factor 2*d**3 + 80*d**2 + 706*d - 1748.
2*(d - 2)*(d + 19)*(d + 23)
Factor j**3/5 + 1913*j**2/5 + 9546*j/5 + 11448/5.
(j + 2)*(j + 3)*(j + 1908)/5
Determine p so that p**5/7 + p**4 - 79*p**3/7 - 247*p**2/7 + 2358*p/7 - 3240/7 = 0.
-9, 2, 4, 5
Factor -h**2 + 1695*h - 48314.
-(h - 1666)*(h - 29)
Let 8788*r**4 + 24970764*r**3 + 11523720*r**2 + 1772816*r + 90912 = 0. Calculate r.
-2841, -2/13
Let -5*s**5 - 565*s**4 + 37320*s**3 - 209960*s**2 + 410480*s - 270480 = 0. Calculate s.
-161, 2, 42
Let -35*w**5 - 255*w**4 + 35*w**3 + 2235*w**2 + 2520*w + 540 = 0. Calculate w.
-6, -3, -1, -2/7, 3
Solve 2*j**3/13 + 752*j**2/13 + 16238*j/13 = 0.
-353, -23, 0
Find w such that -3*w**4/4 + 24*w**3 + 2037*w**2/4 - 2343*w/2 - 1656 = 0.
-16, -1, 3, 46
Factor -w**3 + 509*w**2 - 38038*w.
-w*(w - 418)*(w - 91)
Factor 3*y**3 + 1167*y**2 - 24540*y.
3*y*(y - 20)*(y + 409)
Suppose -3*n**3/7 - 237*n**2/7 + 732*n/7 - 492/7 = 0. What is n?
-82, 1, 2
Factor 3*a**2/7 + 48*a/7 - 4140/7.
3*(a - 30)*(a + 46)/7
Solve -3*h**4/4 + 138*h**3 - 29631*h**2/4 + 186003*h/2 = 0 for h.
0, 18, 83
Solve -2*p**5 - 7828*p**4 - 7604738*p**3 + 107493848*p**2 - 500662880*p + 771459200 = 0.
-1964, 4, 5
Determine m, given that 5*m**2/4 - 1404430*m + 394484724980 = 0.
561772
Find b, given that -2*b**2/5 + 284720*b - 50665924000 = 0.
355900
Let j**2 - 141896*j + 5033618704 = 0. Calculate j.
70948
Find m, given that m**4/5 + 28089*m**3/5 - 84276*m**2/5 + 4*m/5 + 112368/5 = 0.
-28092, -1, 2
Let -2*i**2 + 3346*i + 30276 = 0. Calculate i.
-9, 1682
Let -3*p**4 - 160479*p**3 - 2146526910*p**2 - 10727660256*p + 12874347648 = 0. What is p?
-26744, -6, 1
Factor 2*b**2/13 + 562*b/13 - 35404/13.
2*(b - 53)*(b + 334)/13
Suppose 4*z**4 + 1748*z**3 + 21788*z**2 - 110036*z + 86496 = 0. What is z?
-424, -17, 1, 3
Determine h, given that -852818*h**4 + 12787046*h**3 + 46130524*h**2 + 282216*h + 432 = 0.
-3, -2/653, 18
Factor -16*c**2/7 - 7334*c/7 - 2748/7.
-2*(c + 458)*(8*c + 3)/7
Find z such that 3*z**5/7 - 1545*z**4/7 - 4653*z**3/7 - 4659*z**2/7 - 222*z = 0.
-1, 0, 518
Determine a so that 4*a**2 + 41212*a - 41216 = 0.
-10304, 1
Let -j**3/2 + 15733*j**2/2 - 61905415*j/2 + 185574675/2 = 0. What is j?
3, 7865
Factor 5*c**2/2 - 10750*c - 302960.
5*(c - 4328)*(c + 28)/2
Solve u**3/10 + 1433*u**2/10 - 717*u/5 = 0 for u.
-1434, 0, 1
Factor -2*n**2/13 - 176*n/13 - 230.
-2*(n + 23)*(n + 65)/13
Solve -2*o**2/9 - 558400*o/3 - 38976320000 = 0.
-418800
Determine r, given that -2*r**3 + 12604*r**2 - 50392*r + 50384 = 0.
2, 6298
Factor -5*p**3 - 7720*p**2 - 2964420*p + 11981520.
-5*(p - 4)*(p + 774)**2
Let -5*c**2 + 24875*c + 374250 = 0. Calculate c.
-15, 4990
Factor -3*x**2/2 - 76831*x/2 + 25611.
-(x + 25611)*(3*x - 2)/2
Find h such that -6*h**5 + 32*h**4 + 534*h**3 + 808*h**2 + 312*h = 0.
-6, -1, -2/3, 0, 13
Factor -2*b**2/3 - 90*b + 142688/3.
-2*(b - 208)*(b + 343)/3
What is i in i**5/6 - 41*i**4/2 + 569*i**3/6 + 2455*i**2/6 + 451*i + 472/3 = 0?
-1, 8, 118
Let -v**4/5 + 82*v**3/5 - 353*v**2 - 1596*v/5 + 38988 = 0. Calculate v.
-9, 15, 38
Factor 15*x**2 + 7398*x + 1479.
3*(x + 493)*(5*x + 1)
Find t such that 2*t**2/15 + 75556*t/15 + 713588642/15 = 0.
-18889
Factor i**2 + 561*i + 7124.
(i + 13)*(i + 548)
Solve -17*c**2 - 3979*c + 12090 = 0 for c.
-4030/17, 3
Factor -v**5/4 + 6461*v**4/4 + 77964*v**3 + 937296*v**2.
-v**2*(v - 6509)*(v + 24)**2/4
Factor 5*j**3 + 1125*j**2 - 477365*j - 478485.
5*(j - 217)*(j + 1)*(j + 441)
Let 2*y**4/3 - 682*y**3/3 + 31294*y**2/3 - 85118*y/3 - 39032 = 0. What is y?
-1, 4, 51, 287
What is x in 3*x**4 + 963*x**3 + 54564*x**2 - 3976560*x - 16718400 = 0?
-180, -4, 43
Factor -3*q**2/5 + 36582*q/5 + 117216.
-3*(q - 12210)*(q + 16)/5
Let 2*w**2/7 + 11456*w/7 - 310770/7 = 0. Calculate w.
-5755, 27
Let -44*o**3 - 574*o**2/13 + 1142*o/13 + 4/13 = 0. Calculate o.
-2, -1/286, 1
Suppose 2*f**3 - 1418*f**2 + 252048*f - 250632 = 0. Calculate f.
1, 354
Factor -2*n**3/9 + 74650*n**2/9 - 232180162*n/3 - 77401682.
-2*(n - 18663)**2*(n + 1)/9
Let 2*d**3/9 + 39694*d**2/9 + 158752*d/9 + 158744/9 = 0. What is d?
-19843, -2
Factor -b**4 + 305*b**3 + 1232*b**2 + 1236*b.
-b*(b - 309)*(b + 2)**2
Let -3*p**3 + 285*p**2 + 1899*p - 8181 = 0. Calculate p.
-9, 3, 101
Factor 3*s**2 + 645*s - 37872.
3*(s - 48)*(s + 263)
Determine m so that m**2/2 + 1721*m/2 - 861 = 0.
-1722, 1
Find m, given that -2*m**2/9 - 20042*m/3 - 60124/9 = 0.
-30062, -1
Factor 3*l**5 + 237*l**4 + 4266*l**3 - 14250*l**2 + 14739*l - 4995.
3*(l - 1)**3*(l + 37)*(l + 45)
Factor 5*z**3 - 2290*z**2 + 15815*z - 13530.
5*(z - 451)*(z - 6)*(z - 1)
Factor 5*v**3 + 7882*v**2 + 3107872*v + 1241888.
(v + 788)**2*(5*v + 2)
Determine y, given that 5*y**5 - 140*y**4 - 1265*y**3 + 1400*y**2 = 0.
-8, 0, 1, 35
Factor -54*w**4/5 - 392*w**3/5 + 300*w**2 - 1608*w/5 + 554/5.
-2*(w - 1)**3*(27*w + 277)/5
Solve 16*x**5 + 44*x**4 - 828*x**3 + 796*x**2 + 1292*x - 360 = 0.
-9, -1, 1/4, 2, 5
Determine f so that -3*f**2/4 - 192573*f/2 - 12361453443/4 = 0.
-64191
Solve y**3/5 - 157*y**2/5 - 8509*y/5 + 1564513/5 = 0.
-97, 127
Determine n so that -n**2 + 330*n - 9269 = 0.
31, 299
Determine x so that x**4/3 + 14*x**3 - 2061*x**2 - 46368*x + 3656448 = 0.
-69, 48
Suppose 20*r**5/7 - 1024*r**4 + 5452*r**3 - 14120*r**2/7 = 0. What is r?
0, 2/5, 5, 353
Factor 4*q**3 + 39488*q**2 - 78992*q.
4*q*(q - 2)*(q + 9874)
Factor c**3/5 + 9978*c**2/5 - 9981*c/5 - 19958/5.
(c - 2)*(c + 1)*(c + 9979)/5
Factor -3*u**3 - 28992*u**2 + 57996*u.
-3*u*(u - 2)*(u + 9666)
Solve 5*w**5 + 1905*w**4 + 7525*w**3 - 5705*w**2 - 18810*w + 15080 = 0 for w.
-377, -4, -2, 1
Suppose -4*o**5 + 284*o**4 + 4660*o**3 + 8452*o**2 + 4080*o = 0. Calculate o.
-12, -1, 0, 85
Suppose z**3 + 2085*z**2 - 58968*z + 414148 = 0. Calculate z.
-2113, 14
Factor z**5 + 111*z**4 - 339*z**3 + 341*z**2 - 114*z.
z*(z - 1)**3*(z + 114)
Factor -5*m**3 + 4085*m**2 - 44330*m.
-5*m*(m - 806)*(m - 11)
Determine h, given that -4*h**5 - 45652*h**4 + 24*h**3 + 273944*h**2 + 365228*h + 136956 = 0.
-11413, -1, 3
Suppose -2*d**5/13 - 402*d**4/13 - 27178*d**3/13 - 633182*d**2/13 - 955956*d/13 + 359120 = 0. Calculate d.
-67, -65, -4, 2
Determine p, given that -p**2/4 - 12407*p/4 = 0.
-12407, 0
What is v in -v**5 + 4*v**4 + 49*v**3 - 232*v**2 - 108*v + 1008 = 0?
-7, -2, 3, 4, 6
Determine n, given that 3*n**5/4 + 135*n**4/2 + 129*n**3/2 - 201*n**2 - 261*n/4 + 267/2 = 0.
-89, -2, -1, 1
Let -12*h**4/5 + 38*h**3 + 1626*h**2/5 + 104*h/5 - 264 = 0. Calculate h.
-6, -1, 5/6, 22
Factor -p**2 - 13979*p - 195510.
-(p + 14)*(p + 13965)
Factor -2*p**3/13 + 2*p**2 - 80*p/13.
-2*p*(p - 8)*(p - 5)/13
Factor 76*o**3 - 224*o**2 - 6700*o - 352.
4*(o - 11)*(o + 8)*(19*o + 1)
Factor -n**2/4 + 3845*n/4 + 19325.
-(n - 3865)*(n + 20)/4
Determine w, given that -3*w**4 - 507*w**3 + 14883*w**2 - 63513*w + 49140 = 0.
-195, 1, 4, 21
Factor -6*z**2/5 - 75552*z/5.
-6*z*(z + 12592)/5
Factor -6*w**3 - 98*w**2 + 1176*w + 1728.
-2*(w - 9)*(w + 24)*(3*w + 4)
Factor -2*t**2/3 - 144218*t/3 + 144224.
-2*(t - 3)*(t + 72112)/3
Solve 4*x**3/9 - 1570*x**2/9 - 23578*x/9 - 11396/9 = 0 for x.
-14, -1/2, 407
Factor 3*h**4 + 135*h**3 - 162*h**2 - 1068*h + 1656.
3*(h - 2)**2*(h + 3)*(h + 46)
Let 5*c**5 + 5*c**4 - 3570*c**3 + 20*c**2 + 42200*c - 56160 = 0. Calculate c.
-27, -4, 2, 26
Find p such that 9*p**3/2 - 3477*p**2/4 + 42480*p - 48384 = 0.
7/6, 96
Solve -h**3/5 - 13*h**2/5 - 6*h/5 + 72/5 = 0.
-12, -3, 2
Factor -183*y**2/7 + 7692*y/7 - 36.
-3*(y - 42)*(61*y - 2)/7
Find t, given that -3*t**5 - 27*t**4 + 87*t**3 + 171*t**2 - 624*t + 396 = 0.
-11, -3, 1, 2
Let -c**2/5 - 93248*c/5 - 2173797376/5 = 0. Calculate c.
-46624
Solve 5*z**3/3 + 580*z**2/3 + 9385*z/3 + 16490/3 = 0.
-97, -17, -2
Determine a so that -65*a**4 - 3455*a**3 - 15740*a**2 + 16380*a + 2880 = 0.
-48, -6, -2/13, 1
Solve 1079056801*c**