78, 1
Factor 4*w**3 - 123364*w**2 - 1974788*w - 1851420.
4*(w - 30857)*(w + 1)*(w + 15)
Let -3*z**3 + 133821*z**2 - 1491602049*z - 16423818873 = 0. Calculate z.
-11, 22309
Let 4*a**2 + 128564*a + 57043800 = 0. What is a?
-31691, -450
Determine a so that a**2/3 - 14608*a/3 - 1337609/3 = 0.
-91, 14699
What is q in 2*q**3/11 - 114438*q**2/11 + 1475168688*q/11 + 4739441260960/11 = 0?
-2645, 29932
Determine d so that 2*d**4/11 - 9374*d**3/11 + 2023926*d**2/11 + 4075982*d/11 + 2042680/11 = 0.
-1, 229, 4460
Factor 5*v**2 - 184115*v + 62021100.
5*(v - 36483)*(v - 340)
Factor -5*p**3/4 - 245*p**2/4 - 1105*p/2 - 1140.
-5*(p + 3)*(p + 8)*(p + 38)/4
Factor -4*g**3 + 164412*g**2 - 1673979180*g - 318809586700.
-4*(g - 20645)**2*(g + 187)
Suppose 2*d**3/11 - 463520*d**2/11 - 927106*d - 5099204 = 0. Calculate d.
-11, 231782
Factor -4*t**2 + 46776*t + 113649340.
-4*(t - 13759)*(t + 2065)
Factor 2*b**2/19 - 109769382*b/19 + 219538756/19.
2*(b - 54884689)*(b - 2)/19
Determine u so that -5*u**4 + 71495*u**3 - 5335090*u**2 + 15504880*u - 10241280 = 0.
1, 2, 72, 14224
Suppose 3*b**4 + 2253*b**3 + 174699*b**2 + 4467771*b + 37062522 = 0. What is b?
-667, -42, -21
Let -4*i**5/3 + 1234*i**4/3 + 1882*i**3/3 - 6808*i**2/3 - 1240*i = 0. What is i?
-3, -1/2, 0, 2, 310
Factor -5*j**2 + 8590710*j + 8590715.
-5*(j - 1718143)*(j + 1)
Factor -5*q**2 - 2529315*q + 12646700.
-5*(q - 5)*(q + 505868)
Factor -k**3/3 + 30*k**2 + 46189*k + 16225616/3.
-(k - 464)*(k + 187)**2/3
Let -a**3/5 - 436752*a**2/5 - 1310247*a/5 = 0. Calculate a.
-436749, -3, 0
Find n, given that -592185*n**3 - 5*n**2 + 2368740*n + 20 = 0.
-2, -1/118437, 2
Factor 3*b**3 + 10283562*b**2 - 20567133*b + 10283568.
3*(b - 1)**2*(b + 3427856)
Determine f, given that 5*f**3 - 3756205*f**2 + 705485726760*f - 11992171836240 = 0.
17, 375612
Determine p so that -p**2/9 + 7285*p/3 + 43714/9 = 0.
-2, 21857
Determine j so that -j**4/4 - 179*j**3/4 - 8553*j**2/4 - 76765*j/4 + 510125/2 = 0.
-106, -55, -25, 7
Factor 12*x**3 - 11762*x**2 - 71196*x + 189344.
2*(x - 2)*(x + 8)*(6*x - 5917)
Determine h, given that -75272*h**5 + 16815730268*h**4 - 9101276844*h**3 + 353864032*h**2 - 3574384*h = 0.
0, 2/97, 1/2, 223399
Factor -3*n**2/7 - 4358874*n/7 - 1583315212323/7.
-3*(n + 726479)**2/7
Let -o**4/3 - 96031*o**3/3 + 576214*o**2/3 - 768296*o/3 = 0. Calculate o.
-96037, 0, 2, 4
Find r, given that 3*r**2 - 3873093*r + 34857594 = 0.
9, 1291022
Factor 2*q**2/7 - 41267228*q/7 + 212873013350498/7.
2*(q - 10316807)**2/7
Solve 3*h**5 - 243*h**4 - 83736*h**3 + 8672664*h**2 - 33678288*h + 33339600 = 0.
-175, 2, 126
Factor i**3 + 3491*i**2 + 1650327*i + 210801573.
(i + 267)**2*(i + 2957)
Factor 2*v**5 - 376*v**4 + 4550*v**3.
2*v**3*(v - 175)*(v - 13)
Factor -2*w**2/17 + 299230*w/17 + 8978700/17.
-2*(w - 149645)*(w + 30)/17
Solve 8*n**5 + 1556*n**4 + 100060*n**3 + 2146456*n**2 + 900624*n - 3148704 = 0 for n.
-78, -58, -3/2, 1
Suppose 3*h**3 - 7341*h**2 - 603708*h - 7004844 = 0. What is h?
-66, -14, 2527
Find q such that -14*q**2/17 + 16306770*q/17 - 4659076/17 = 0.
2/7, 1164769
Find c such that -5*c**3 + 1842950*c**2 - 616827125*c = 0.
0, 335, 368255
What is z in -5*z**4 + 17780*z**3 + 232130*z**2 - 517580*z + 267675 = 0?
-15, 1, 3569
Solve -16*m**5/9 - 182*m**4/9 + 1202*m**3/9 + 484*m**2 - 1040*m = 0.
-15, -4, 0, 13/8, 6
Determine o, given that o**4/4 - 6613*o**3/4 - 145839*o**2/4 - 869075*o/4 - 364925/2 = 0.
-11, -10, -1, 6635
Factor 9*a**2 - 167385*a - 948804.
3*(a - 18604)*(3*a + 17)
Let -3*s**2 - 73163*s/2 + 85365/2 = 0. Calculate s.
-12195, 7/6
Solve 161*k**2 + 36983*k/10 - 1081/10 = 0 for k.
-23, 47/1610
Factor 4*d**3 + 2208976*d**2 - 19881108*d.
4*d*(d - 9)*(d + 552253)
Determine j, given that 5*j**4 + 345*j**3 - 26985*j**2 - 790285*j + 19120920 = 0.
-103, -39, 17, 56
Factor -11215801*v**3/5 - 12026259*v**2/5 - 825099*v/5 - 14641/5.
-(v + 1)*(3349*v + 121)**2/5
Let 289*f**4/7 - 57463264*f**3/7 + 2856448150462*f**2/7 - 336048548064*f + 69186179223 = 0. Calculate f.
7/17, 99417
Factor -y**3/8 + 44529*y**2/4 - 1982119185*y/8 - 3967088738.
-(y - 44537)**2*(y + 16)/8
What is o in o**3 + 1206472*o**2 + 2412941*o + 1206470 = 0?
-1206470, -1
Solve i**3/2 + 1494201*i**2/2 + 558152433135*i/2 - 5023492929225/2 = 0 for i.
-747105, 9
Factor 5198145*z**2 + 213123942*z - 123.
3*(z + 41)*(1732715*z - 1)
Find i such that 4*i**3 - 21964*i**2 + 20876632*i - 41665440 = 0.
2, 1220, 4269
Factor -7*m**2/2 - 18740*m - 123073/2.
-(m + 5351)*(7*m + 23)/2
Factor -i**2/6 + 8916757*i/6 + 2972253.
-(i - 8916759)*(i + 2)/6
Solve -130*m**5/7 + 1952*m**4 + 26336*m**3/7 - 1252*m**2/7 - 26206*m/7 - 12412/7 = 0 for m.
-1, -58/65, 1, 107
Find b such that -b**3/3 + 24190*b**2/3 - 116419073*b/3 - 378170280064/3 = 0.
-2176, 13183
Determine h so that 3*h**2/4 - 957549*h/2 - 1915101/4 = 0.
-1, 638367
Factor s**2/3 - 853*s + 529364/3.
(s - 2332)*(s - 227)/3
Let 2*v**5/7 + 26144*v**4/7 - 942904*v**3/7 + 11426144*v**2/7 - 7549312*v + 11744768 = 0. What is v?
-13108, 4, 14
Factor 185*l**2 + 67521650*l - 7299640.
5*(l + 364982)*(37*l - 4)
What is p in -p**3 - 650969*p**2 - 1301934*p = 0?
-650967, -2, 0
Suppose 3*u**3 + 483*u**2 - 2909235*u + 2908749 = 0. What is u?
-1069, 1, 907
Find l such that -l**4/5 + 856*l**3/5 - 174044*l**2/5 - 70304*l = 0.
-2, 0, 338, 520
Let x**2 - 8973*x - 378630 = 0. Calculate x.
-42, 9015
Factor -g**2/8 - 7681335*g/4 - 76813325/8.
-(g + 5)*(g + 15362665)/8
Determine i so that -4*i**3 + 13884*i**2 - 14181996*i + 4514827316 = 0.
761, 1949
Determine d so that 2*d**2/7 + 14922*d/7 - 62060 = 0.
-7490, 29
Find t, given that t**3/6 + 92075*t**2/6 + 184141*t/2 + 276207/2 = 0.
-92069, -3
Factor t**4/2 + 2525*t**3/2 - 1113609*t**2/2 + 152815271*t/2 - 3439555294.
(t - 133)**3*(t + 2924)/2
Factor -41846*g**2/9 + 543968*g/9 + 130/3.
-2*(g - 13)*(20923*g + 15)/9
Determine q so that -q**2/5 + 4371*q/5 - 647514 = 0.
945, 3426
Factor -2*j**2 - 22138*j + 24451944.
-2*(j - 1012)*(j + 12081)
Determine s, given that 2*s**4/9 - 36*s**3 + 482*s**2/9 + 2760*s + 70400/9 = 0.
-5, -4, 11, 160
Factor 5*j**3 - 206230*j**2 + 18109075*j + 18315310.
5*(j - 41158)*(j - 89)*(j + 1)
Let -o**4 + 543*o**3 - 25027*o**2 + 186189*o - 161704 = 0. Calculate o.
1, 8, 41, 493
Factor 2*b**4/11 - 10737704*b**3/11 + 32213100*b**2/11 - 32213096*b/11 + 10737698/11.
2*(b - 5368849)*(b - 1)**3/11
Suppose 6*l**5 + 151394*l**4 + 353182*l**3 - 958730*l**2 + 252308*l + 201840 = 0. What is l?
-25230, -4, -1/3, 1
Factor 3*a**3/5 + 94653*a**2 - 1893096*a/5 + 1893108/5.
3*(a - 2)**2*(a + 157759)/5
Find n, given that 2*n**4 + 18*n**3 - 1246*n**2 - 2538*n - 1276 = 0.
-29, -1, 22
Factor -2*x**3/11 + 4454474*x**2/11 - 225481323120*x + 225480918168.
-2*(x - 1113618)**2*(x - 1)/11
What is u in 292*u**4 + 5908*u**3 - 330852*u**2 + 931500*u = 0?
-3375/73, 0, 3, 23
Let -3*j**4 - 34854*j**3 - 4218324*j**2 - 123995784*j + 265143744 = 0. What is j?
-11496, -62, 2
Find r such that -8915*r**2 - 187515*r - 6300 = 0.
-21, -60/1783
Factor -n**3/5 - 17873*n**2/5 - 898271*n - 284176851/5.
-(n + 127)**2*(n + 17619)/5
What is f in 2*f**4 - 421980*f**3 + 22414394066*f**2 - 16457643667920*f + 3042156626016032 = 0?
371, 105124
Let 7*s**5/2 + 61*s**4/2 - 37363*s**3/2 - 772021*s**2/2 - 260832*s + 106470 = 0. Calculate s.
-65, -21, -1, 2/7, 78
Solve -d**4/2 - 13860*d**3 - 194243663*d**2/2 - 14817731082*d - 14720623110 = 0.
-13782, -155, -1
Factor -4*g**3 - 15252*g**2 + 538720*g.
-4*g*(g - 35)*(g + 3848)
Factor 2*x**2/3 - 32222438*x - 193334636/3.
2*(x - 48333659)*(x + 2)/3
Factor 5*v**2 - 601253300*v.
5*v*(v - 120250660)
Let -3*g**4/2 - 11816781*g**3/2 - 11636365341885*g**2/2 - 11636353525107*g/2 = 0. What is g?
-1969463, -1, 0
Factor 2*j**2 + 8736680*j + 9541197177800.
2*(j + 2184170)**2
Suppose -3*p**3/5 + 15993*p**2/5 + 160398*p/5 - 897288/5 = 0. Calculate p.
-14, 4, 5341
Factor -5*z**3/2 + 541835*z**2/2 + 11922185*z/2 + 65575345/2.
-5*(z - 108389)*(z + 11)**2/2
Determine p, given that p**2/3 - 10803646*p/3 + 29179691723329/3 = 0.
5401823
What is g in -58*g**3/5 + 3066*g**2/5 - 34398*g/5 + 110446/5 = 0?
7, 1127/29
Determine u so that 2*u**2 - 2477330*u - 4954668 = 0.
-2, 1238667
Determine i, given that -i**4/2 + 95132*i**3 - 9054091557*i**2/2 + 189959778973*i + 398028502124 = 0.
-2, 44, 95111
Find i, given that -i**3 - 2053778*i**2 + 