6*a**3 - 218611*a**2/2 + 2156*a + 437223/4 = 0 for a.
-8573, -51, -1, 1
Factor -3*q**2/8 - 1080387*q/4 + 6482349/8.
-3*(q - 3)*(q + 720261)/8
Factor -2*b**2 - 37308*b + 485342.
-2*(b - 13)*(b + 18667)
Determine f, given that -2*f**3 + 91710*f**2 - 1466176*f - 30803808 = 0.
-12, 28, 45839
What is c in -c**3/8 + 40285*c**2 - 483407*c/2 - 644548 = 0?
-2, 8, 322274
Factor -358*k**2/5 - 71707044*k/5 - 400598/5.
-2*(k + 200299)*(179*k + 1)/5
Solve 2*o**3/9 + 57934*o**2/3 - 1390562*o/9 - 173818 = 0 for o.
-86909, -1, 9
Let 5*x**3/3 - 26591*x**2/6 - 23941*x/6 + 1330/3 = 0. Calculate x.
-1, 1/10, 2660
Find b such that -3*b**2/5 - 70369122*b/5 - 412651110920907/5 = 0.
-11728187
Determine d so that 4*d**5 - 197536*d**4 + 8291808*d**3 - 116063360*d**2 + 541577792*d = 0.
0, 14, 49342
Determine v, given that 3*v**5 - 972*v**4 + 25233*v**3 - 109788*v**2 + 167220*v - 81696 = 0.
1, 2, 23, 296
Determine r so that -3*r**4 - 167112*r**3 - 1837974*r**2 - 5847840*r - 4176975 = 0.
-55693, -5, -1
Determine l so that -2*l**3/17 + 36012*l**2 + 1224422*l/17 - 1836624/17 = 0.
-3, 1, 306104
Let 4*c**2 + 1728*c - 15893476 = 0. What is c?
-2221, 1789
Solve n**3 + 352*n**2 - 6257*n + 5904 = 0.
-369, 1, 16
Solve 91*d**3/5 + 16931*d**2/5 + 3553*d + 185 = 0.
-185, -1, -5/91
Solve 2*q**2/9 + 3563912*q/9 + 1587683592968/9 = 0.
-890978
Solve -5*p**3 - 52405*p**2 - 16452715*p + 16505125 = 0 for p.
-10157, -325, 1
Find c such that -2*c**3 - 383913034*c**2 - 18423652401342160*c - 18423652017429128 = 0.
-95978258, -1
Determine p, given that 2*p**4/17 - 12144*p**3/17 - 2003988*p**2/17 - 18933136*p/17 - 16941294/17 = 0.
-151, -9, -1, 6233
Factor -5*r**3 + 3514825*r**2 + 3514830*r.
-5*r*(r - 702966)*(r + 1)
Find r such that -2*r**5/15 - 36*r**4/5 + 2194*r**3/15 + 45916*r**2/5 + 130648*r/15 - 18032 = 0.
-46, -42, -2, 1, 35
Let -182*v**5 - 123*v**4 + 3440*v**3 - 3123*v**2 - 3348*v - 540 = 0. Calculate v.
-5, -6/13, -3/14, 2, 3
Factor -15399846504868*d**4/5 + 277200184802772*d**3/5 - 10611812148*d**2 + 3385372*d/5 - 72/5.
-4*(d - 18)*(15673*d - 1)**3/5
Let -w**5/3 - 8138*w**4/3 + 456833*w**3 + 4184716*w**2/3 + 32540*w/3 - 1859872 = 0. What is w?
-8303, -2, 1, 168
Factor 19*b**2 - 26659*b - 7776210.
(b - 1651)*(19*b + 4710)
Let 2*c**2/11 + 23011000*c/11 + 66188265125000/11 = 0. Calculate c.
-5752750
Factor k**2 - 18961*k - 27073530.
(k - 20295)*(k + 1334)
Factor -u**3/3 + 1993*u**2/3 - 17694*u.
-u*(u - 1966)*(u - 27)/3
Find t such that -2*t**4 - 96*t**3 - 1366*t**2 - 5136*t - 5544 = 0.
-22, -21, -3, -2
Let 5*f**4 - 395*f**3 - 13965*f**2 + 285395*f + 298960 = 0. Calculate f.
-37, -1, 16, 101
Suppose -4*l**2 + 105968*l + 529940 = 0. What is l?
-5, 26497
Factor 2*w**5/7 + 248*w**4/7 - 330154*w**3/7.
2*w**3*(w - 349)*(w + 473)/7
Determine v, given that v**2/3 + 4670*v + 472872 = 0.
-13908, -102
Suppose 4*k**2/7 + 18772*k/7 + 9343528/7 = 0. Calculate k.
-4127, -566
Find z, given that 3*z**3/2 - 54880*z**2 - 256133*z/2 + 182945 = 0.
-10/3, 1, 36589
Suppose -4*v**5 + 15100*v**4 + 21078068*v**3 + 6322864388*v**2 - 25544877248*v + 25629430928 = 0. Calculate v.
-571, 2, 4913
Find q, given that -20*q**4/3 - 19275*q**3 - 12208445*q**2 + 7695634480*q/3 + 642065600 = 0.
-1528, -1/4, 165
Factor -f**3 + 706*f**2 - 35515*f - 5020422.
-(f - 638)*(f - 129)*(f + 61)
Factor 2*d**5 + 997516*d**4 + 124378773760*d**3 - 248761537600*d**2.
2*d**2*(d - 2)*(d + 249380)**2
Suppose -2*y**2/15 - 2014024*y/15 + 671342/5 = 0. Calculate y.
-1007013, 1
Factor -o**2/6 - 189629*o/6 - 2337845.
-(o + 74)*(o + 189555)/6
Find l, given that l**5 - 108979*l**4 - 108981*l**3 + 108979*l**2 + 108980*l = 0.
-1, 0, 1, 108980
Suppose 14*i**3/11 - 2050*i**2 - 5077244*i/11 - 1448800/11 = 0. Calculate i.
-200, -2/7, 1811
Find g, given that -6*g**3/13 + 6221504*g**2/13 + 4147672*g/13 = 0.
-2/3, 0, 1036918
Factor -t**3/4 + 518231*t**2/2 - 2072921*t/4 + 259115.
-(t - 1036460)*(t - 1)**2/4
Find m such that -m**5 + 142814*m**4 - 285624*m**3 - 2*m**2 + 285625*m - 142812 = 0.
-1, 1, 142812
Let 2*c**3 + 8174*c**2 + 9222622*c + 1730411314 = 0. What is c?
-1927, -233
Solve -15*p**4/4 + 32949*p**3/2 + 10376838*p**2 + 4113295323*p/2 + 536181438231/4 = 0 for p.
-193, 24861/5
Suppose -251*v**2 - 13073060*v + 1250016 = 0. Calculate v.
-52084, 24/251
Factor -x**2/5 - 35350418*x + 176752091/5.
-(x - 1)*(x + 176752091)/5
Solve -11*s**3/6 - 178174*s**2 - 8657960589*s/2 + 2361279649/3 = 0.
-48593, 2/11
Let -m**4/4 + 1253*m**3/2 - 1508137*m**2/4 - 19568748*m = 0. What is m?
-48, 0, 1277
Suppose 5*i**4 - 1330*i**3 - 129080*i**2 + 1115200*i = 0. Calculate i.
-82, 0, 8, 340
Solve 3*t**5/4 - 60*t**4 + 1302*t**3 - 3648*t**2 - 12996*t = 0.
-2, 0, 6, 38
Let 9*m**3 - 441788*m**2 - 1767260*m - 1767296 = 0. Calculate m.
-2, 441824/9
Determine i, given that i**4 - 557*i**3 + 78413*i**2 - 381547*i + 453882 = 0.
2, 3, 253, 299
Suppose -2*z**2 - 132236*z + 18552240 = 0. Calculate z.
-66258, 140
Find g such that -74*g**2/7 - 205248*g/7 + 11096 = 0.
-2774, 14/37
Factor -64*n**3 + 16311520*n**2 - 1039294613188*n - 3118030644972.
-4*(n + 3)*(4*n - 509741)**2
Factor 2*g**2/11 + 6058*g/11 - 1997400/11.
2*(g - 300)*(g + 3329)/11
Let -k**5/7 + 181119*k**4/7 - 3259866*k**3/7 + 1241842*k**2 - 8330661*k/7 + 2716515/7 = 0. Calculate k.
1, 15, 181101
Factor -2*u**2/7 - 186*u/7 + 4520/7.
-2*(u - 20)*(u + 113)/7
Factor -4*c**3 + 416*c**2 - 9396*c - 72216.
-4*(c - 59)*(c - 51)*(c + 6)
Suppose f**3/4 - 20223*f**2/4 + 126249*f - 232277 = 0. Calculate f.
2, 23, 20198
What is q in q**3 - 46253*q**2 + 46252*q = 0?
0, 1, 46252
Let -p**2 - 16241470*p - 65946336940225 = 0. Calculate p.
-8120735
Solve -5*t**4 - 17670*t**3 + 195255*t**2 + 992900*t + 1063500 = 0 for t.
-3545, -2, 15
Factor -p**2/2 + 118959117*p - 14151271517419689/2.
-(p - 118959117)**2/2
Solve 2*j**2 + 5202*j + 889456 = 0 for j.
-2417, -184
Suppose 80*w**4 + 411010760*w**3 + 527905867864485*w**2 + 263952856867730*w + 32994103897445 = 0. What is w?
-2568817, -1/4
Determine a so that a**3/2 + 1204*a**2 + 64163*a/2 - 147622 = 0.
-2381, -31, 4
Factor 2*q**2/5 + 916436*q/5 + 916434/5.
2*(q + 1)*(q + 458217)/5
What is m in 100*m**4/3 + 42680*m**3/3 + 398412*m**2 - 254868336*m + 5038299504 = 0?
-1362/5, 21, 97
Find j such that -282*j**4/5 + 3543*j**3/5 + 9342*j**2/5 - 14172*j/5 - 32856/5 = 0.
-2, 2, 1369/94
Factor -882*m**2/5 + 239265600*m - 81133825600000.
-2*(21*m - 14242000)**2/5
Determine p, given that 2*p**5/7 - 244*p**4 - 244260*p**3/7 - 479960*p**2/7 + 34894*p + 481668/7 = 0.
-123, -2, -1, 1, 979
Factor k**3 - 32994*k**2 - 66000*k + 263968.
(k - 32996)*(k - 2)*(k + 4)
Determine h, given that -h**5 + 217*h**4 - 3930*h**3 - 855550*h**2 - 14850389*h + 15709653 = 0.
-31, -27, 1, 137
Determine o so that 2*o**4 - 2282902*o**3 + 651444919500*o**2 + 5863212021400*o - 6514654658000 = 0.
-10, 1, 570730
What is v in -2*v**3/5 - 901864*v**2/5 + 721496*v - 3607488/5 = 0?
-450936, 2
Factor -3897*f**2 - 15985497*f - 12306.
-3*(f + 4102)*(1299*f + 1)
Suppose 3014*h**2 + 25316*h - 48240 = 0. Calculate h.
-10, 2412/1507
Let 3*a**4/7 - 64426*a**3/7 - 27615*a**2 - 12*a/7 + 36820 = 0. Calculate a.
-2, 1, 64435/3
What is n in 3*n**2/4 + 1056477*n = 0?
-1408636, 0
Suppose p**2/11 - 39825574*p/11 + 39825573/11 = 0. Calculate p.
1, 39825573
Factor -714*y**2 + 12868*y/5 + 3968/5.
-2*(7*y + 2)*(255*y - 992)/5
Find p, given that 4*p**5 + 2124*p**4 + 298676*p**3 + 4447524*p**2 - 4748328*p = 0.
-267, -247, -18, 0, 1
Solve 2*w**4 - 8002*w**3/3 + 186350*w**2/3 - 144058*w - 55020 = 0.
-1/3, 3, 21, 1310
Factor 3*o**3/5 + 188319*o**2/5 + 376629*o/5 + 188313/5.
3*(o + 1)**2*(o + 62771)/5
Find p, given that -2*p**2/9 - 56542*p - 2713504 = 0.
-254391, -48
Determine w, given that -3*w**5/8 + 3109*w**4/4 + 22043*w**3/2 - 2038286661*w**2/4 - 4076655273*w/8 = 0.
-2113/3, -1, 0, 1389
Let -3*z**5 + 3537*z**4 - 52254*z**3 - 147072*z**2 + 474912*z = 0. What is z?
-4, 0, 2, 17, 1164
Factor 4*r**2 + 3868084*r + 3868080.
4*(r + 1)*(r + 967020)
Suppose 2*v**3 + 966*v**2 - 117012*v - 1822016 = 0. Calculate v.
-581, -14, 112
Factor a**3/7 + 97*a**2/7 + 922*a/7 - 6240.
(a - 16)*(a + 35)*(a + 78)/7
What is j in 4*j**2 + 21637804*j = 0?
-5409451, 0
Factor 17365*h**3 - 660070*h**2 + 7600*h.
5*h*(h - 38)*(3473*h - 40)
Factor -3*m**3 + 104559*m**2 - 910159305*m - 15502940475.
-3*(m - 174