2/9, -3/22271
Determine w, given that -w**2 - 151*w + 6956 = 0.
-188, 37
Factor a**2/3 + 1009682*a + 764593305843.
(a + 1514523)**2/3
Find n such that 4*n**4 - 1828*n**3 + 159048*n**2 + 325440*n = 0.
-2, 0, 120, 339
What is f in 2*f**2 - 2496*f + 432640 = 0?
208, 1040
Factor -4*t**3 + 14404*t**2 - 514656*t + 4620240.
-4*(t - 3565)*(t - 18)**2
Let 2*g**2/17 + 211478*g/17 + 211476/17 = 0. Calculate g.
-105738, -1
Find w, given that w**2/2 - 197024*w + 19409228288 = 0.
197024
Find n such that 6*n**5 + 195*n**4 + 1998*n**3 + 7203*n**2 + 9462*n + 3168 = 0.
-16, -11, -3, -2, -1/2
Solve d**4/7 - 419*d**3/7 - 928*d**2 - 868*d = 0 for d.
-14, -1, 0, 434
Find x such that 116*x**5/3 - 212*x**4/3 - 52*x**3 + 212*x**2/3 + 40*x/3 = 0.
-1, -5/29, 0, 1, 2
Determine g so that 2*g**5/11 - 78*g**4/11 + 312*g**3/11 + 952*g**2/11 = 0.
-2, 0, 7, 34
Factor -b**2 + 6733*b + 6734.
-(b - 6734)*(b + 1)
Factor i**3/8 + 119*i**2/4 - 6695*i/8 + 5577.
(i - 13)**2*(i + 264)/8
Solve -445*u**3 - 2615*u**2 - 3675*u + 495 = 0 for u.
-3, 11/89
What is d in -d**3/2 + 36511*d**2/2 - 166622512*d - 166640768 = 0?
-1, 18256
Factor -4*a**3 + 5484*a**2 + 5487*a + 1372.
-(a - 1372)*(2*a + 1)**2
Determine d, given that -14*d**4 - 1018*d**3 - 1696*d**2 + 568*d = 0.
-71, -2, 0, 2/7
Factor 2*u**4/7 - 6*u**3 - 48*u**2/7 + 88*u/7.
2*u*(u - 22)*(u - 1)*(u + 2)/7
Factor -n**3/4 + 69989*n**2/4 + 279969*n/4 + 209979/4.
-(n - 69993)*(n + 1)*(n + 3)/4
Solve 96123*v**2 + 147138*v + 56307 = 0.
-137/179
Suppose -150*r**5/11 - 926*r**4/11 - 632*r**3/11 + 1240*r**2/11 = 0. What is r?
-5, -2, 0, 62/75
Suppose -4*s**2/7 - 4192120*s/7 - 1098366880900/7 = 0. Calculate s.
-524015
Factor -5*j**2/3 - 1411*j/3 - 4098.
-(j + 9)*(5*j + 1366)/3
Let -c**2/4 - 153*c/2 + 31347/4 = 0. Calculate c.
-387, 81
Let 2*y**3/13 + 148*y**2/13 + 922*y/13 - 1072/13 = 0. What is y?
-67, -8, 1
Solve -f**4/2 - 701*f**3 - 11165*f**2/2 - 9064*f - 4182 = 0 for f.
-1394, -6, -1
Determine g, given that g**4/5 - 111*g**3/5 - 5707*g**2/5 - 4269*g - 3150 = 0.
-35, -3, -1, 150
What is r in r**2/7 - 30405*r/7 + 152000/7 = 0?
5, 30400
Solve 55842*v**2 + 55840*v - 2 = 0 for v.
-1, 1/27921
Factor -5*l**3 + 156170*l**2 + 3124900*l + 15627000.
-5*(l - 31254)*(l + 10)**2
Factor 2*l**3/3 + 386*l**2/3 + 4508*l.
2*l*(l + 46)*(l + 147)/3
Determine t so that -3*t**5/7 - 192*t**4/7 + 1695*t**3/7 - 2400*t**2/7 - 1692*t/7 + 2592/7 = 0.
-72, -1, 1, 2, 6
Solve -v**4 + 7170*v**3 - 28664*v**2 = 0 for v.
0, 4, 7166
Factor b**3 - 1288*b**2 + 6419*b - 5132.
(b - 1283)*(b - 4)*(b - 1)
Determine s so that 7*s**3/2 - 2306*s**2 + 3947*s/2 + 329 = 0.
-1/7, 1, 658
Factor 155*j**2 + 2955*j - 10260.
5*(j - 3)*(31*j + 684)
Let -4*a**4 + 156*a**3 + 2052*a**2 - 4556*a + 2352 = 0. Calculate a.
-12, 1, 49
Find y, given that -743044*y**4 - 1496432*y**3 - 20724*y**2 - 72*y = 0.
-2, -3/431, 0
Let 2*a**5/7 - 148*a**4/7 - 65626*a**3/7 - 4529452*a**2/7 - 13112872*a + 96385328/7 = 0. What is a?
-58, 1, 247
Find m such that -3*m**4 - 23445*m**3 + 140742*m**2 - 281532*m + 187704 = 0.
-7821, 2
Let 3*v**5/2 - 408*v**4 + 33123*v**3/2 - 223305*v**2 + 1054650*v - 847500 = 0. What is v?
1, 10, 25, 226
Let 2*k**5/5 + 18*k**4/5 - 134*k**3/5 - 274*k**2/5 + 1428*k/5 - 208 = 0. Calculate k.
-13, -4, 1, 2, 5
Determine j so that -3*j**3 - 6825*j**2 - 1439136*j - 79808436 = 0.
-2047, -114
Suppose 4*k**2/3 + 56*k - 1372/3 = 0. What is k?
-49, 7
Determine m, given that -2*m**3/9 + 9410*m**2/9 + 94550*m/3 + 236750 = 0.
-15, 4735
Let -3*t**3 + 312*t**2 - 10800*t + 124416 = 0. Calculate t.
32, 36
Factor m**2/3 - 229*m + 2732/3.
(m - 683)*(m - 4)/3
Find v, given that 2*v**3/7 + 628*v**2/7 + 57368*v/7 + 1209840/7 = 0.
-142, -30
Let -3*c**3 + 258*c**2 - 5565*c + 24750 = 0. What is c?
6, 25, 55
Let 2*n**2 + 330902*n - 330904 = 0. What is n?
-165452, 1
Factor 625*g**4 - 7073250*g**3 + 8487300*g**2 - 3394840*g + 452640.
5*(g - 11316)*(5*g - 2)**3
Factor 4*u**2 + 48568*u + 147428164.
4*(u + 6071)**2
Suppose 3*r**3 + 244905*r**2 + 4998327369*r + 4998082467 = 0. Calculate r.
-40817, -1
Determine x, given that 4*x**3 + 25048*x**2 + 39162500*x - 157051024 = 0.
-3133, 4
Find z, given that 3*z**3 - 2109*z**2 + 14562*z + 37584 = 0.
-2, 9, 696
Factor 2*c**2 + 4200*c + 8392.
2*(c + 2)*(c + 2098)
Solve 14*l**5/9 + 3244*l**4/9 + 9178*l**3/3 + 73376*l**2/9 + 51640*l/9 - 7136/3 = 0 for l.
-223, -4, -3, -2, 2/7
Determine p, given that 2*p**5 - 94*p**4 + 1166*p**3 + 70*p**2 - 35024*p + 33880 = 0.
-5, 1, 7, 22
Let -5*w**5 + 5490*w**4 + 55235*w**3 + 182620*w**2 + 221520*w + 88640 = 0. What is w?
-4, -1, 1108
Find b such that -b**4 - 2160*b**3 + 34771*b**2 - 98082*b - 352512 = 0.
-2176, -2, 9
Suppose 2*p**3/3 + 1916*p**2 + 45790*p/3 - 63052 = 0. What is p?
-2866, -11, 3
Solve 4*c**3 + 80*c**2 - 92*c - 168 = 0 for c.
-21, -1, 2
Let f**4/2 + 124*f**3 + 4949*f**2/2 - 2599*f = 0. Calculate f.
-226, -23, 0, 1
Factor m**2/6 - 48485*m/2.
m*(m - 145455)/6
Factor -k**2/2 + 45134*k - 90266.
-(k - 90266)*(k - 2)/2
Suppose 5*k**4 + 52120*k**3 + 135876830*k**2 + 271597320*k + 135772605 = 0. Calculate k.
-5211, -1
Suppose -h**2/2 + 83193*h - 6921075249/2 = 0. What is h?
83193
Solve 26*s**3/3 - 26290*s**2/3 - 22268*s/3 + 4048/3 = 0.
-1, 2/13, 1012
Factor -9*r**2/7 + 98562*r/7 + 65712/7.
-3*(r - 10952)*(3*r + 2)/7
Determine o, given that 2*o**3 - 70*o**2 + 366*o - 522 = 0.
3, 29
Factor 2*j**5 - 1612*j**4 + 3218*j**3 - 1608*j**2.
2*j**2*(j - 804)*(j - 1)**2
Suppose -i**4 - 13586*i**3 - 46158433*i**2 - 92276112*i - 46131264 = 0. What is i?
-6792, -1
Suppose 2*l**4 - 36164*l**3 + 163587818*l**2 - 980550696*l + 1470337992 = 0. What is l?
3, 9038
Factor 20*y**3 + 2428*y**2 + 7976*y - 5664.
4*(y + 4)*(y + 118)*(5*y - 3)
Let -3*a**4 - 30*a**3 + 363*a**2 + 3630*a = 0. What is a?
-11, -10, 0, 11
Solve 49*d**4 - 7938*d**3 - 16076*d**2 + 648*d + 1312 = 0 for d.
-2, -2/7, 2/7, 164
Find u, given that -3*u**2 - 1450836*u - 175410424908 = 0.
-241806
Factor -3*y**2 + 5658*y + 102816.
-3*(y - 1904)*(y + 18)
Factor -2*w**3 + 1100918*w**2 - 151503105798*w + 151502004882.
-2*(w - 275229)**2*(w - 1)
Factor -l**2/3 + 42*l + 864.
-(l - 144)*(l + 18)/3
Solve -5*u**3/6 + 4651*u**2/2 - 25079*u/3 - 3716 = 0 for u.
-2/5, 4, 2787
Suppose -2*f**3/5 + 81324*f**2/5 - 165356088*f + 330647120 = 0. What is f?
2, 20330
Determine q, given that -8*q**5/3 + 916*q**4/9 - 11312*q**3/9 + 13868*q**2/3 + 5024*q - 960 = 0.
-1, 1/6, 12, 15
Find f such that 5*f**3 - 1855*f**2 - 22820*f - 61280 = 0.
-8, -4, 383
Let -2*i**3 + 226*i**2 - 7830*i + 86022 = 0. What is i?
27, 59
Factor 6*y**3 - 2686*y**2 + 289104*y + 2599200.
2*(y - 228)**2*(3*y + 25)
Determine g so that g**4/10 + 707*g**3/5 - 2836*g**2/5 = 0.
-1418, 0, 4
Determine z so that z**3/4 + 5*z**2/4 - 217*z/4 - 221/4 = 0.
-17, -1, 13
Determine w, given that -3*w**3/8 + 73017*w**2/2 + 584145*w/8 + 146037/4 = 0.
-1, 97358
Factor -z**4 + 1645*z**3 - 8204*z**2 + 6560*z.
-z*(z - 1640)*(z - 4)*(z - 1)
Factor 2*k**2/11 + 2852*k/11 + 33936/11.
2*(k + 12)*(k + 1414)/11
Let v**4 - 5810*v**3 + 8444833*v**2 - 16872240*v + 8433216 = 0. Calculate v.
1, 2904
Suppose -10*f**4/9 + 796*f**3/9 - 50*f**2 - 1888*f/9 - 632/9 = 0. Calculate f.
-1, -2/5, 2, 79
Solve 3*h**5 - 834*h**4 - 13851*h**3 - 76194*h**2 - 158436*h - 95256 = 0.
-6, -3, -1, 294
Find w such that -69*w**5 + 279*w**4 - 150*w**3 - 270*w**2 + 219*w - 9 = 0.
-1, 1/23, 1, 3
Find y, given that 2*y**5/13 - 22950*y**4/13 - 22954*y**3/13 + 22950*y**2/13 + 22952*y/13 = 0.
-1, 0, 1, 11476
Determine n so that 5*n**3 - 370*n**2 + 2665*n + 16900 = 0.
-4, 13, 65
Factor 2*d**2/3 - 11796*d + 52179606.
2*(d - 8847)**2/3
Factor 2*v**3/15 - 948*v**2/5 + 341704*v/5 - 1993744/3.
2*(v - 706)**2*(v - 10)/15
Let r**4/12 + 25*r**3/12 + 89*r**2/12 + 107*r/12 + 7/2 = 0. What is r?
-21, -2, -1
Suppose 43*w**2/10 + 8251*w/10 - 96 = 0. Calculate w.
-192, 5/43
Find l, given that l**2 + 670546*l + 112407984529 = 0.
-335273
Factor -2*k**2/11 - 86600*k/11.
-2*k*(k + 43300)/11
Factor -5*m**3 + 88460*m**2 - 391170105*m - 782694090.
-5*(m - 8847)**2*(m + 2)
Factor 3*t**2/7 - 7491*t/7 + 12780.
3*(t - 2485)*(t - 12)/7
Factor 2*k**2 - 6474*k + 83824.
2*(k - 3224)*(k - 13)
Factor 5*b**3 - 8190*b**2 + 3394380*b - 33129800.
5*(b - 814)**2*(b - 10)
Let k**4 - 212*k**3 + 1037*k**2 - 406*k - 1656 = 0. What is k?
-1, 2, 4, 207
Factor