33
Factor a**2/3 + 23122*a/3 + 133656721/3.
(a + 11561)**2/3
What is f in f**3/2 + 305*f**2 - 1227*f/2 - 918 = 0?
-612, -1, 3
Let 3*u**3/4 + 18207*u**2/4 + 13635*u - 81891 = 0. What is u?
-6066, -6, 3
Factor -8189696162*r**2/15 + 511928*r/15 - 8/15.
-2*(63991*r - 2)**2/15
Factor 6*g**2 - 3309974*g + 1103324.
2*(g - 551662)*(3*g - 1)
Factor 28*w**2 + 525260*w + 150072.
4*(w + 18759)*(7*w + 2)
Suppose -3*q**3 + 1440*q**2 + 3*q - 1440 = 0. What is q?
-1, 1, 480
Find r such that -4*r**3 + 9956*r**2 - 138796*r + 485100 = 0.
7, 2475
Factor 2*f**2 + 52392*f + 343115208.
2*(f + 13098)**2
Determine w so that -2*w**3/7 - 450*w**2/7 - 64*w = 0.
-224, -1, 0
Factor 2*b**3 + 1742*b**2 + 58292*b - 190608.
2*(b - 3)*(b + 38)*(b + 836)
Determine u, given that -u**5/7 + 20*u**4/7 + 332*u**3/7 + 290*u**2/7 - 331*u/7 - 310/7 = 0.
-10, -1, 1, 31
Factor 3*h**2 - 2142*h + 37584.
3*(h - 696)*(h - 18)
Factor z**3 + 168273*z**2 - 504826*z + 336552.
(z - 2)*(z - 1)*(z + 168276)
Let 5*n**3 + 635*n**2 + 17000*n - 208080 = 0. Calculate n.
-68, 9
Factor -q**2 - 533*q + 534.
-(q - 1)*(q + 534)
Factor 4*x**2/5 + 42172*x/5 - 168752/5.
4*(x - 4)*(x + 10547)/5
Factor -d**4/2 + d**3 + 2*d**2 - d - 3/2.
-(d - 3)*(d - 1)*(d + 1)**2/2
Factor -1175*b**2 + 11710*b + 400.
-5*(b - 10)*(235*b + 8)
Suppose -w**2 - 756330*w - 143008767225 = 0. What is w?
-378165
Factor -4*x**3/3 - 1264*x**2 - 315008*x/3.
-4*x*(x + 92)*(x + 856)/3
Factor -3*h**2/7 - 8187*h/7 - 16362/7.
-3*(h + 2)*(h + 2727)/7
Suppose m**2/3 + 47095*m - 141286/3 = 0. What is m?
-141286, 1
Solve f**3/11 + 191*f**2/11 + 4591*f/11 + 4401/11 = 0.
-163, -27, -1
Suppose -2*r**4 - 59*r**3 - 185*r**2 - 78*r = 0. Calculate r.
-26, -3, -1/2, 0
Factor -o**5 + 11*o**4 + 14*o**3 - 24*o**2.
-o**2*(o - 12)*(o - 1)*(o + 2)
Find t, given that 5*t**5 + 320*t**4 + 5700*t**3 + 19120*t**2 + 17920*t = 0.
-32, -28, -2, 0
Find a such that -189*a**5/4 - 105075*a**4/4 + 53934*a**3 - 29298*a**2 - 1668*a + 3348 = 0.
-558, -2/7, 2/3, 1
What is g in g**3/3 + 11752*g**2/3 = 0?
-11752, 0
Factor 4*u**3 + 7704*u**2 + 3740100*u + 29429792.
4*(u + 8)*(u + 959)**2
Suppose -15*q**2 - 10359875*q - 3453290 = 0. What is q?
-690658, -1/3
Determine t, given that 3*t**5 + 3*t**4 - 13539*t**3 - 3*t**2 + 15282144*t - 15268608 = 0.
-48, 1, 47
Let -v**5 + 30*v**4 - 161*v**3 - 776*v**2 - 132*v + 1040 = 0. Calculate v.
-2, 1, 13, 20
Determine o so that -2*o**4 + 70*o**3 - 468*o**2 = 0.
0, 9, 26
Factor -5*u**4 + 430620*u**3 - 12362238960*u**2 + 118298385354560*u.
-5*u*(u - 28708)**3
Determine z, given that z**4 + 927*z**3/2 + 5228*z**2 + 13542*z - 8136 = 0.
-452, -6, 1/2
Factor -4*z**3 - 5784*z**2 + 81820*z + 87600.
-4*(z - 15)*(z + 1)*(z + 1460)
Factor 2*b**2/13 - 7562024*b/13 + 7148025872072/13.
2*(b - 1890506)**2/13
Suppose 2546*u**4/7 + 8366*u**3/7 + 1036*u**2 + 1384*u/7 - 48/7 = 0. What is u?
-2, -1, -6/19, 2/67
What is l in 2*l**4/11 - 2*l**3/11 - 6*l**2 - 118*l/11 - 56/11 = 0?
-4, -1, 7
Solve q**2/4 + 151*q - 605/4 = 0.
-605, 1
Factor b**2/5 - 5097*b + 50966/5.
(b - 25483)*(b - 2)/5
Factor -2*x**3 - 3798*x**2 - 1299888*x + 507529800.
-2*(x - 225)*(x + 1062)**2
Suppose 4*x**2 - 884160*x - 1768336 = 0. What is x?
-2, 221042
Determine x so that -5*x**4/2 - 860*x**3 - 109980*x**2 - 6205680*x - 130501800 = 0.
-110, -78
What is z in -578*z**5/11 + 651270*z**4/11 - 183049344*z**3/11 - 232473024*z**2/11 + 1502820864*z/11 + 2473514496/11 = 0?
-36/17, 3, 564
Solve -54*y**5 + 32010*y**4/7 - 93746*y**3 - 909802*y**2/7 - 33712*y - 14792/7 = 0.
-1, -2/9, -2/21, 43
Determine l, given that -l**5/3 - 23*l**4 - 197*l**3/3 + 23*l**2 + 66*l = 0.
-66, -3, -1, 0, 1
Suppose -2*c**3 + 334*c**2 + 1732*c - 2064 = 0. What is c?
-6, 1, 172
What is i in 32*i**4/17 + 2608*i**3/17 + 64834*i**2/17 + 509894*i/17 = 0?
-43, -77/4, 0
Solve -4*o**3 - 10324*o**2 - 6656396*o + 6666724 = 0.
-1291, 1
Let -5*d**5 - 2455*d**4 + 47820*d**3 - 319680*d**2 + 825120*d - 550800 = 0. Calculate d.
-510, 1, 6
Factor -10*n**2 + 23116*n + 69438.
-2*(n + 3)*(5*n - 11573)
Determine c, given that -4*c**5 - 924*c**4 + 2808*c**3 - 16*c**2 - 3744*c = 0.
-234, -1, 0, 2
Suppose 4*x**4/17 + 1106*x**3/17 + 2734*x**2/17 - 1644*x/17 = 0. What is x?
-274, -3, 0, 1/2
Determine u so that u**5/10 + 701*u**4/5 + 31693*u**3/10 - 16548*u**2/5 = 0.
-1379, -24, 0, 1
Suppose 34*r**3 + 144*r**2 + 186*r + 76 = 0. Calculate r.
-38/17, -1
Factor -2*z**2/15 - 223972*z/5 - 18811296294/5.
-2*(z + 167979)**2/15
Let 3*j**4/8 + 5613*j**3/2 + 21282621*j**2/4 + 521588025*j/2 + 25905166875/8 = 0. What is j?
-3717, -25
What is c in c**4/3 - 7*c**3 - 1081*c**2/3 + 7*c + 360 = 0?
-24, -1, 1, 45
Suppose -3*w**4/7 + 3*w**3 + 390*w**2/7 + 96*w = 0. What is w?
-7, -2, 0, 16
Factor -z**2 - 847*z + 19118.
-(z - 22)*(z + 869)
Solve i**4/3 - 6770*i**3/3 + 11464993*i**2/3 - 7636560*i + 3817152 = 0 for i.
1, 3384
Factor 4*v**4 - 68*v**3 + 344*v**2 - 688*v + 480.
4*(v - 10)*(v - 3)*(v - 2)**2
Suppose -a**5/6 - 49*a**4/6 - 290*a**3/3 = 0. Calculate a.
-29, -20, 0
Let -2*x**5/3 - 112*x**4/3 - 562*x**3 - 3416*x**2/3 + 27488*x/3 + 27776 = 0. What is x?
-31, -21, -4, 4
Factor -4*m**4/7 - 568*m**3 - 7940*m**2/7 - 3968*m/7.
-4*m*(m + 1)**2*(m + 992)/7
Factor -5*i**3 + 270*i**2 - 3405*i + 9620.
-5*(i - 37)*(i - 13)*(i - 4)
Determine b, given that -6*b**5/13 - 1712*b**4/13 + 6514*b**3/13 + 44972*b**2/13 - 32368*b/13 = 0.
-289, -4, 0, 2/3, 7
Factor 5*d**2 + 1939755*d.
5*d*(d + 387951)
Find m, given that 4*m**5 + 884*m**4 + 9276*m**3 + 7084*m**2 - 99568*m + 82320 = 0.
-210, -7, 1, 2
Solve -3*a**4 + 1443*a**3 + 16284*a**2 - 22656*a - 472320 = 0.
-8, 5, 492
What is x in -3*x**5 - 39*x**4 + 3699*x**3 + 101751*x**2 + 759264*x + 661248 = 0?
-21, -16, -1, 41
What is i in 2*i**4 + 14386*i**3 + 25775862*i**2 - 337521834*i = 0?
-3603, 0, 13
Factor -3*g**3 + 14706*g**2 + 2348892*g + 92318616.
-3*(g - 5058)*(g + 78)**2
Factor -2*m**2/7 - 8038*m/7 + 8040/7.
-2*(m - 1)*(m + 4020)/7
Find v, given that 121*v**4/5 - 60324*v**3/5 + 390069*v**2/5 - 199314*v/5 + 26568/5 = 0.
3/11, 6, 492
Find p, given that -2*p**5/9 + 850*p**4/3 - 819164*p**3/9 + 450004*p**2 - 5652770*p/9 + 806450/3 = 0.
1, 3, 635
Factor 2*w**4 - 134*w**3 - 2432*w**2 - 2296*w.
2*w*(w - 82)*(w + 1)*(w + 14)
Find x such that 3*x**2/4 - 14169*x/2 + 84987/4 = 0.
3, 9443
Find h such that -4*h**2 - 751904*h - 751900 = 0.
-187975, -1
Suppose -n**2/4 + 123*n/2 - 3600 = 0. What is n?
96, 150
Find d, given that 15636267*d**2/7 - 109584*d/7 + 192/7 = 0.
8/2283
Factor 2*y**4/17 - 6282*y**3/17 + 6280*y**2/17.
2*y**2*(y - 3140)*(y - 1)/17
Find s such that 3*s**5/2 - 91*s**4/4 - 7*s**3/2 + 439*s**2/4 - 10*s - 75 = 0.
-2, -5/6, 1, 2, 15
Factor r**2/2 - 235224*r + 27665165088.
(r - 235224)**2/2
Suppose 2*j**4/3 + 988*j**3/3 + 24674*j**2/3 + 52728*j = 0. Calculate j.
-468, -13, 0
Let -2*w**5/3 + 1334*w**4 - 1999996*w**3/3 - 2008004*w**2/3 + 666666*w + 2004002/3 = 0. Calculate w.
-1, 1, 1001
Factor -2404*k**2 - 319724*k + 1064.
-4*(k + 133)*(601*k - 2)
Suppose 4*m**5/5 + 164*m**4/5 + 1676*m**3/5 - 5204*m**2/5 - 17184*m + 54720 = 0. What is m?
-19, -15, 4
Find n, given that 5*n**3 - 449995*n**2 + 1799920*n - 1799900 = 0.
2, 89995
Factor 4*m**2/5 - 3424*m/5 - 55808/5.
4*(m - 872)*(m + 16)/5
What is j in 3*j**4 - 684*j**3 - 16080*j**2 - 104400*j - 150000 = 0?
-10, -2, 250
Solve -3*o**2 - 3969*o + 11934 = 0 for o.
-1326, 3
Suppose -f**5/8 + 717*f**4/8 - 123721*f**3/8 - 1742145*f**2/8 + 932575*f/4 = 0. What is f?
-14, 0, 1, 365
Solve 4*v**5 + 1336*v**4 + 85944*v**3 - 4000*v**2 - 255196*v + 171912 = 0.
-247, -87, -2, 1
Factor x**2 + 855066*x.
x*(x + 855066)
Find t, given that 3*t**4 + 30*t**3 - 5439*t**2 + 15486*t + 52920 = 0.
-49, -2, 5, 36
Factor 4*z**2/3 - 11860*z/3 + 3952.
4*(z - 2964)*(z - 1)/3
Let 125*j**3 + 18360650*j**2 - 14688580*j + 2937720 = 0. What is j?
-146886, 2/5
Let -3*c**5 + 17*c**4 + 14*c**3 - 160*c**2 + 96*c = 0. Calculate c.
-3, 0, 2/3, 4
Solve -x**4/4 - 1673*x**3 - 7408359*x**2/2 - 2650729725*x + 555911037927/4 = 0.
-2247, 49
Factor -2*c**3/9 - 23410*c**2/9 - 23408*c/9.
-2*c*(c + 1)*(c + 11704)/9
Factor 4*r**2 - 2956*r + 63096.
4*(r - 717)*(r - 22)
Factor -10*u**2/9 - 148436*u - 534368/9.
-2*(u + 133592)*(5*u + 2)/9
Factor 4*y**4/3 - 53848*y**3/3 + 60533996*y**2 - 2534517664*y/3 + 8861586496/3.
4*(y - 6724)**2*(y - 7)**2/3
Let -2