 that -117*c**5/8 + 411*c**4/8 + 339*c**3/8 - 387*c**2/8 - 111*c/4 - 3 = 0.
-1, -1/3, -2/13, 1, 4
Suppose 3*h**3/5 + 1086*h**2/5 + 78471*h/5 + 45144 = 0. Calculate h.
-264, -95, -3
Factor -30*t**3 + 305*t**2 + 765*t - 1260.
-5*(t - 12)*(t + 3)*(6*t - 7)
Find k such that -3*k**5 + 6219*k**4 - 49629*k**3 + 142569*k**2 - 173496*k + 74340 = 0.
1, 2, 3, 2065
Suppose 123*g**3/4 - 18423*g**2/2 + 687825*g + 303750 = 0. What is g?
-18/41, 150
Find a, given that 5*a**2 + 40*a - 69540 = 0.
-122, 114
Suppose -x**5/4 + 127*x**4 - 1251*x**3/2 - 1633*x**2 - 3521*x/4 = 0. What is x?
-1, 0, 7, 503
Solve -7*v**3/4 - 38076*v**2 - 828424971*v/4 + 118352641/2 = 0.
-10879, 2/7
Determine n so that 3*n**5/5 - 390*n**4 - 5892*n**3/5 + 9786*n**2/5 + 5889*n/5 - 7836/5 = 0.
-4, -1, 1, 653
Solve -2*t**5/9 + 16*t**4/9 + 370*t**3/3 + 348*t**2 = 0.
-18, -3, 0, 29
Suppose 2*a**5/11 + 24052*a**4/11 + 96432482*a**3/11 + 128962329840*a**2/11 + 23421405312*a + 128769537024/11 = 0. Calculate a.
-4008, -1
Factor t**2 + 375*t + 7766.
(t + 22)*(t + 353)
Find i, given that 321*i**4/8 - 363*i**3 + 4401*i**2/4 - 1134*i + 405/8 = 0.
5/107, 3
Factor 5*n**3 + 32655*n**2 - 65325*n + 32665.
5*(n - 1)**2*(n + 6533)
Determine b, given that b**2/3 - 361*b/3 - 1364 = 0.
-11, 372
Let -21*v**5/2 - 591*v**4/2 + 12807*v**3/2 - 77205*v**2/2 + 86325*v - 49500 = 0. What is v?
-44, 6/7, 5
Factor 2*o**4 + 198*o**3 - 210*o**2 - 1006*o - 600.
2*(o - 3)*(o + 1)**2*(o + 100)
Determine j so that -4*j**2/3 + 154736*j/3 - 154732/3 = 0.
1, 38683
Factor -w**3/6 + 1769*w**2/6 - 3535*w/6 + 589/2.
-(w - 1767)*(w - 1)**2/6
Factor -b**2/9 - 14732*b/3 - 44195/9.
-(b + 1)*(b + 44195)/9
Let 8*b**4 + 300*b**3 - 172*b**2 - 768*b - 304 = 0. What is b?
-38, -1, -1/2, 2
Suppose -6*m**2 + 65799*m/2 - 16449/2 = 0. Calculate m.
1/4, 5483
Factor -2*i**3 + 2390*i**2 - 9528*i.
-2*i*(i - 1191)*(i - 4)
Factor -4*b**2 + 272*b - 4368.
-4*(b - 42)*(b - 26)
Factor -875*z**3 - 2633*z**2 + 3476*z + 32.
-(z - 1)*(z + 4)*(875*z + 8)
Find c such that 172*c**2/5 - 48684*c/5 + 2264/5 = 0.
2/43, 283
Factor w**3 + 2157*w**2 - 23848*w.
w*(w - 11)*(w + 2168)
Solve -5*a**5 - 1010*a**4 - 24170*a**3 - 95240*a**2 + 24175*a + 96250 = 0.
-175, -22, -5, -1, 1
Factor -2*i**2/5 - 1142*i/5 - 26304.
-2*(i + 160)*(i + 411)/5
Find z, given that -z**4/2 - 2601*z**3 - 10401*z**2/2 - 2600*z = 0.
-5200, -1, 0
Solve i**3/3 - 1045*i**2/3 = 0.
0, 1045
Factor -y**3/7 - 71*y**2 + 81464*y/7 - 2926992/7.
-(y - 68)**2*(y + 633)/7
Suppose 2*n**3 - 5540*n**2 - 11094*n + 16632 = 0. What is n?
-3, 1, 2772
Find i, given that -28*i**2 - 7412336*i - 2117808 = 0.
-264726, -2/7
Factor 3*m**2 + 7419*m + 29628.
3*(m + 4)*(m + 2469)
Factor -2*z**3/17 - 43424*z**2/17 - 236009146*z/17 - 3295622428/17.
-2*(z + 14)*(z + 10849)**2/17
Suppose -710*o**3 + 1141*o**2 + 560*o - 4 = 0. Calculate o.
-2/5, 1/142, 2
Factor -2*a**2 + 32*a/7 - 18/7.
-2*(a - 1)*(7*a - 9)/7
Factor 980*i**2 + 7550060*i + 14541685205.
5*(14*i + 53929)**2
Factor -5*h**3 - 634015*h**2 - 20098434000*h + 20099068020.
-5*(h - 1)*(h + 63402)**2
Find u, given that 32*u**5 - 1460*u**4 + 19064*u**3 - 54468*u**2 + 33264*u + 21168 = 0.
-3/8, 2, 21
Factor -1922*c**4/7 - 33356*c**3/7 - 95680*c**2/7 - 10816*c.
-2*c*(c + 14)*(31*c + 52)**2/7
Find c such that 4*c**5 + 604*c**4 + 10792*c**3 + 41016*c**2 + 18324*c - 70740 = 0.
-131, -15, -3, 1
Suppose -578*d**4/3 + 480012*d**3 - 299315526*d**2 + 421845840*d - 148802400 = 0. What is d?
12/17, 1245
Factor 3*w**2/4 - 212277*w/4 - 212289.
3*(w - 70763)*(w + 4)/4
Factor 8*l**3 + 5531*l**2 + 56325*l - 134838.
(l - 2)*(l + 681)*(8*l + 99)
Factor -3*k**3/4 - 963*k**2/4 - 78705*k/4 - 227529/4.
-3*(k + 3)*(k + 159)**2/4
Factor 24*c**2 + 330861*c - 41358.
3*(c + 13786)*(8*c - 1)
Solve -a**2/7 + 36342*a/7 + 218088/7 = 0.
-6, 36348
Determine s so that 2*s**4/5 - 243984*s**3/5 + 7441024032*s**2/5 = 0.
0, 60996
Factor 2*h**2 + 146*h + 2052.
2*(h + 19)*(h + 54)
Factor -3*t**2 + 301566*t - 7578504363.
-3*(t - 50261)**2
Find x, given that x**2 - 8493*x - 16990 = 0.
-2, 8495
Suppose y**3 + 150*y**2 - 23712*y + 686816 = 0. Calculate y.
-254, 52
Suppose 2*l**2/13 - 2472*l/13 - 7434/13 = 0. What is l?
-3, 1239
Find q such that -q**3 + 719*q**2 - 718*q = 0.
0, 1, 718
Determine h so that 3*h**5 - 101*h**4 - 670*h**3 + 1714*h**2 + 3099*h + 819 = 0.
-7, -1, -1/3, 3, 39
Find j, given that 3*j**4/4 - 93*j**3/4 + 531*j**2/4 + 2121*j/4 - 8085/2 = 0.
-5, 7, 22
Factor 3*r**3/4 + 10329*r**2/4 + 9408153*r/4 + 877451715/4.
3*(r + 105)*(r + 1669)**2/4
Factor -j**3/6 - 50027*j**2/6 - 312875108*j/3 - 312800072.
-(j + 3)*(j + 25012)**2/6
Determine p, given that -80856064*p**2 + 971136*p - 2916 = 0.
27/4496
Find c such that -2*c**2/3 - 626*c/3 - 3080/3 = 0.
-308, -5
Find f, given that -3*f**4 + 85752*f**3 + 686208*f**2 = 0.
-8, 0, 28592
Let -j**2/7 + 633*j/7 - 9872/7 = 0. What is j?
16, 617
Determine t, given that -4*t**5 - 93*t**4 + 6192*t**3 - 79758*t**2 + 333396*t - 207765 = 0.
-57, 3/4, 9, 15
Let -150*k**3/7 - 286820*k**2/7 + 344346*k/7 - 14760 = 0. What is k?
-5740/3, 3/5
Factor 4*u**2 + 10484*u - 179384.
4*(u - 17)*(u + 2638)
Factor -3*k**4 - 12*k**3 + 57*k**2 + 138*k + 72.
-3*(k - 4)*(k + 1)**2*(k + 6)
Factor -4*p**3 - 4160*p**2 - 16576*p.
-4*p*(p + 4)*(p + 1036)
Solve 2*i**3/3 + 424*i**2 - 293800*i + 111141376/3 = 0 for i.
-1088, 226
Factor 3*w**3 - 12054*w**2 - 60333*w - 48276.
3*(w - 4023)*(w + 1)*(w + 4)
Determine b so that 5*b**3 - 31970*b**2 + 31965*b = 0.
0, 1, 6393
Suppose 2*r**3 - 10312*r**2 + 236162*r - 225852 = 0. What is r?
1, 22, 5133
Solve n**3/2 + 4069*n**2/2 + 2114612*n + 91083240 = 0 for n.
-2012, -45
Factor 3*c**3/5 + 1797*c**2 + 1207242*c/5.
3*c*(c + 141)*(c + 2854)/5
Solve -2*l**4 + 26144*l**3 + 78458*l**2 - 104600*l = 0.
-4, 0, 1, 13075
Suppose -8*s**2 - 13785*s - 1723 = 0. What is s?
-1723, -1/8
Determine h so that 4*h**5 + 94*h**4 + 630*h**3 + 1124*h**2 + 416*h = 0.
-13, -8, -2, -1/2, 0
Let -550*m**3/9 - 422*m**2 + 364*m/9 = 0. What is m?
-7, 0, 26/275
Find j such that -1066*j**3/5 - 110868*j**2/5 + 580554*j/5 + 436 = 0.
-109, -2/533, 5
Suppose 116*l**3 - 8358*l**2 + 16672*l - 840 = 0. What is l?
3/58, 2, 70
Let -m**5 - 8*m**4 + 59*m**3 + 458*m**2 + 712*m + 320 = 0. Calculate m.
-10, -4, -1, 8
Factor 7*c**4/3 - 111350*c**3/3 + 442767364*c**2/3 + 126532232*c.
c*(c - 7954)**2*(7*c + 6)/3
Determine x, given that x**4/2 + 213*x**3 + 421*x**2/2 - 852*x - 850 = 0.
-425, -2, -1, 2
What is a in -4*a**4/3 - 448*a**3/3 - 1112*a**2/3 + 21184*a/3 - 6540 = 0?
-109, -9, 1, 5
Suppose -q**3/3 - 89*q**2/3 + 13640*q/3 - 114224 = 0. Calculate q.
-177, 44
Find x such that -4*x**4/5 + 40828*x**3/5 - 103957972*x**2/5 - 1148074044*x/5 - 208815048 = 0.
-10, -1, 5109
Let -2380*q**4 - 7132*q**3 + 24*q**2 = 0. Calculate q.
-3, 0, 2/595
Let 4*h**4 + 552*h**3 + 14108*h**2 + 26040*h = 0. Calculate h.
-105, -31, -2, 0
Suppose 2*w**5/19 - 100*w**4/19 + 848*w**3/19 - 1964*w**2/19 + 1774*w/19 - 560/19 = 0. Calculate w.
1, 7, 40
Determine u so that -u**5/3 + 83*u**4/9 - 62*u**3/3 - 1928*u**2/9 + 448*u/3 = 0.
-4, 0, 2/3, 7, 24
Solve 88*w**4/3 - 44662*w**3/3 + 37424*w**2 - 81838*w/3 + 14140/3 = 0.
1/4, 1, 14/11, 505
Determine h so that -2*h**4/3 - 316*h**3/3 + 2162*h**2 - 13992*h + 29736 = 0.
-177, 6, 7
Determine h so that 2*h**3 + 20986*h**2 - 21000*h - 125928 = 0.
-10494, -2, 3
Solve -5*k**3 + 2205*k**2 + 46320*k - 101420 = 0.
-22, 2, 461
Factor -3*b**2 - 45540*b + 45543.
-3*(b - 1)*(b + 15181)
Factor -k**3/4 - 21585*k**2/4 - 116467263*k/4 + 116488849/4.
-(k - 1)*(k + 10793)**2/4
Solve 5*l**2 + 150*l + 945 = 0.
-21, -9
Find m, given that 2*m**2 + 14692*m - 44094 = 0.
-7349, 3
Let -2*s**5/7 + 240*s**4/7 - 704*s**3/7 + 228*s**2/7 + 706*s/7 - 468/7 = 0. Calculate s.
-1, 1, 2, 117
Find p such that -4*p**5 - 568*p**4 + 2952*p**3 + 1712*p**2 - 7684*p - 5880 = 0.
-147, -1, 2, 5
Factor -z**2 - 2244*z.
-z*(z + 2244)
Solve -2*n**3/7 - 4356*n**2/7 + 4362*n/7 + 8716/7 = 0 for n.
-2179, -1, 2
Find d, given that 15*d**2 - 124446*d - 74673 = 0.
-3/5, 8297
Factor 3*c**3 - 8241*c**2.
3*c**2*(c - 2747)
Suppose 3*w**4 - 47433*w**3 - 94899*w**2 + 332085*w - 189756 = 0. What is w?
-4, 1, 15813
Factor 5*a**4 - 550*a**3 + 6160*a**2 + 13990*a + 7275.
5*(a - 97)*(a - 15)*(a + 1)**2
Let -3*t**3/2 + 15771*t**2/2 - 188781*t/2 - 204555/2 = 0. Calculate t.
