*m + 2247.
3*(m + 1)**2*(m + 749)
Determine t so that -t**3 - 349*t**2 + 7672*t - 36260 = 0.
-370, 7, 14
Find o, given that -2*o**3 + 9020*o**2 + 2*o - 9020 = 0.
-1, 1, 4510
Solve -11*c**2/4 + 13111*c/2 + 1192 = 0 for c.
-2/11, 2384
Suppose -k**4/9 - 3689*k**3/3 - 10204696*k**2/3 + 30625156*k/9 = 0. What is k?
-5534, 0, 1
Determine m so that 3*m**4 - 17439*m**3/2 + 4356*m**2 + 17439*m/2 - 4359 = 0.
-1, 1/2, 1, 2906
Let -13*y**5/3 - 616*y**4/3 + 407*y**3/3 + 362*y**2 - 288*y = 0. What is y?
-48, -18/13, 0, 1
Find u such that -3*u**5/2 + 9*u**4 + 567*u**3/2 + 831*u**2 - 1710*u - 2268 = 0.
-7, -6, -1, 2, 18
Determine j so that -j**4/4 - 1227*j**3/4 - 374531*j**2/4 + 1139595*j/4 + 378225 = 0.
-615, -1, 4
Factor 5*n**5 - 1860*n**4 + 201710*n**3 - 5343780*n**2 + 41270645*n.
5*n*(n - 169)**2*(n - 17)**2
Solve r**5 + 132*r**4 + 4482*r**3 + 8572*r**2 + 4221*r = 0.
-67, -63, -1, 0
Determine n so that n**4/2 - 508*n**3 + 178172*n**2 - 24963120*n + 1207369800 = 0.
130, 378
Let -z**4/6 - 6589*z**3/2 + 79101*z**2/2 - 890005*z/6 + 164825 = 0. What is z?
-19779, 2, 5
Factor -r**3/6 + 689*r**2/3 - 10951*r/6 - 2055.
-(r - 1370)*(r - 9)*(r + 1)/6
What is n in 2*n**4/5 + 89*n**3/5 - 28*n**2 - 92*n/5 = 0?
-46, -1/2, 0, 2
Find w such that -5*w**3 + 851960*w**2 - 1703905*w + 851950 = 0.
1, 170390
Factor 2*t**4 + 5510*t**3 + 3770096*t**2 - 34378632*t.
2*t*(t - 9)*(t + 1382)**2
Factor 2*t**4/3 - 7316*t**3 + 60192386*t**2/3 + 40150208*t + 60236288/3.
2*(t - 5488)**2*(t + 1)**2/3
Determine w so that -3*w**2 + 558*w - 6747 = 0.
13, 173
Let -5*d**5/4 - 255*d**4/2 - 710*d**3 + 1935*d**2/2 + 2845*d/4 - 840 = 0. Calculate d.
-96, -7, -1, 1
Let 8*b**5 - 1450*b**4 - 29446*b**3 - 110500*b**2 - 60112*b + 22400 = 0. Calculate b.
-14, -4, -1, 1/4, 200
Determine j so that j**4 + 94*j**3 - 692*j**2 + 1506*j - 909 = 0.
-101, 1, 3
Suppose -p**2/9 + 646*p/9 - 637 = 0. What is p?
9, 637
Factor 34*d**2/3 - 7102*d/9 + 1472/3.
2*(d - 69)*(51*d - 32)/9
Solve 5*i**5/2 + 735*i**4 - 9005*i**3/2 - 735*i**2 + 4500*i = 0 for i.
-300, -1, 0, 1, 6
Factor 5*d**4 + 1440*d**3 + 2860*d**2.
5*d**2*(d + 2)*(d + 286)
Let y**5 - 91*y**4 - 514*y**3 + 148150*y**2 - 294399*y + 146853 = 0. Calculate y.
-37, 1, 63
Factor 5*m**2 - 105170*m + 553036445.
5*(m - 10517)**2
Factor q**4/5 - 82*q**3 - 4168*q**2/5 - 13408*q/5 - 2688.
(q - 420)*(q + 2)*(q + 4)**2/5
Solve -4*u**2 + 52838*u - 26418 = 0.
1/2, 13209
Find l, given that -5*l**3 + 4555*l**2 - 89600*l + 445500 = 0.
10, 891
Factor o**4/5 - 2*o**3 - 228*o**2/5 - 792*o/5.
o*(o - 22)*(o + 6)**2/5
Factor -3*f**2 - 204831*f - 204828.
-3*(f + 1)*(f + 68276)
Factor 5*t**2 + 2805*t + 79650.
5*(t + 30)*(t + 531)
Solve 3*y**3/5 + 141*y**2/5 - 162*y/5 - 864/5 = 0.
-48, -2, 3
Suppose -10*f**3/9 - 12838*f**2/3 - 207704*f/9 - 25640/3 = 0. Calculate f.
-3846, -5, -2/5
Factor -4*f**5 + 7892*f**4 - 31528*f**3 + 47272*f**2 - 31508*f + 7876.
-4*(f - 1969)*(f - 1)**4
Determine h so that -h**4/8 + 35*h**3/8 + 599*h**2/4 + 479*h - 4560 = 0.
-16, -10, 4, 57
Factor -4*v**3/5 + 72*v**2 + 9324*v/5.
-4*v*(v - 111)*(v + 21)/5
Determine q so that -q**3 - 12249*q**2 - 220139*q + 232389 = 0.
-12231, -19, 1
Factor f**2/7 - 420228*f/7 - 420229/7.
(f - 420229)*(f + 1)/7
Factor -s**3 + 242*s**2 - 16385*s + 204304.
-(s - 113)**2*(s - 16)
Factor 5*p**2 - 5.
5*(p - 1)*(p + 1)
What is q in -3*q**3 + 927*q**2 + 1866*q = 0?
-2, 0, 311
Solve z**5/6 + 13150*z**4/3 + 28816033*z**3 - 172935650*z**2/3 + 172948801*z/6 = 0 for z.
-13151, 0, 1
Suppose -a**4 - 386*a**3 - 4132*a**2 - 2478*a + 55125 = 0. What is a?
-375, -7, 3
Factor -2*l**3/3 + 14*l**2 + 121304*l/3.
-2*l*(l - 257)*(l + 236)/3
Solve 9*j**5/4 + 5163*j**4/4 + 11955*j**3/2 + 3369*j**2/2 - 51183*j/4 + 15363/4 = 0.
-569, -3, 1/3, 1
Determine i, given that i**4 - 124*i**3 + 2484*i**2 - 8480*i + 8000 = 0.
2, 20, 100
Factor -v**4 + 49*v**3 - 276*v**2 - 756*v.
-v*(v - 42)*(v - 9)*(v + 2)
Factor -5*o**3 + 355224*o**2 - 6308991369*o - 7571301174.
-(o - 35523)**2*(5*o + 6)
Factor -b**3/8 - 82851*b**2/8 + 82857*b - 165718.
-(b - 4)**2*(b + 82859)/8
What is g in -g**3/3 + 215*g**2 + 2616*g + 7884 = 0?
-6, 657
Find n, given that 5*n**2 + 2765*n - 60270 = 0.
-574, 21
Solve 36*d**4 + 224*d**3 - 228048*d**2 - 7515648*d - 1658880 = 0.
-48, -2/9, 90
Factor 2*s**3/3 - 1520*s**2/3 - 10774*s/3 + 9204.
2*(s - 767)*(s - 2)*(s + 9)/3
Factor 4*c**4 - 304*c**3 + 1900*c**2 + 2208*c.
4*c*(c - 69)*(c - 8)*(c + 1)
Suppose 4*f**5 + 428*f**4 + 7416*f**3 + 40104*f**2 + 36612*f - 84564 = 0. Calculate f.
-87, -9, -3, 1
Factor -j**3 - 919*j**2 + 920*j.
-j*(j - 1)*(j + 920)
Factor -6*g**2/7 - 87144*g/7 - 87138/7.
-6*(g + 1)*(g + 14523)/7
Solve -3*o**2 - 394413*o - 394410 = 0.
-131470, -1
Factor 3*s**3 - 708*s**2 + 39675*s + 216450.
3*(s - 130)*(s - 111)*(s + 5)
Factor -2*l**3 - 31234*l**2/9 + 6176*l.
-2*l*(l + 1737)*(9*l - 16)/9
Suppose 2*g**2/11 + 310*g + 103788/11 = 0. Calculate g.
-1674, -31
Suppose 5*n**2 + 138380*n + 957451220 = 0. What is n?
-13838
Let 51*r**4/8 - 12651*r**3/8 - 39135*r**2/2 - 117027*r/2 + 3510 = 0. What is r?
-6, 1/17, 260
Let -5*z**5 - 1625*z**4 + 186750*z**3 = 0. Calculate z.
-415, 0, 90
Find f, given that 2*f**2/3 - 35576*f/3 + 158206472/3 = 0.
8894
Factor -4*n**2 + 21180*n - 42344.
-4*(n - 5293)*(n - 2)
Suppose 3*l**5 - 2832*l**4 + 5652*l**3 = 0. Calculate l.
0, 2, 942
Determine p, given that -3*p**4/4 + 297*p**3/8 + 237*p**2/4 - 747*p/8 - 459/4 = 0.
-2, -1, 3/2, 51
Find d such that 13*d**3/2 - 445*d**2 - 489*d/2 + 207 = 0.
-1, 6/13, 69
Find g, given that 3875*g**2/4 - 166715*g/4 + 1935/2 = 0.
18/775, 43
Factor g**5/4 + 175*g**4/4 - 360*g**3 + 1090*g**2 - 1460*g + 732.
(g - 2)**4*(g + 183)/4
Let 5*v**2 - 60530*v + 2232765 = 0. What is v?
37, 12069
Factor -4*o**2 - 764*o + 34808.
-4*(o - 38)*(o + 229)
Let -2*o**2 + 124584*o + 124586 = 0. Calculate o.
-1, 62293
Factor 3*z**4 + 13839*z**3 - 27687*z**2 + 13845*z.
3*z*(z - 1)**2*(z + 4615)
Let -4*b**4 + 31204*b**3 - 60495168*b**2 - 1407944448*b = 0. What is b?
-23, 0, 3912
Factor 5*y**3/4 - 33675*y**2/4 - 8420*y.
5*y*(y - 6736)*(y + 1)/4
Let 5*i**5 + 189*i**4 - 496*i**3/5 - 183208*i**2/5 + 794352*i/5 + 976144/5 = 0. Calculate i.
-26, -1, 38/5
Determine o so that -o**5/2 + 309*o**4 - 1532*o**3 - 309*o**2 + 3065*o/2 = 0.
-1, 0, 1, 5, 613
Factor 2*i**5 + 22*i**4 + 48*i**3.
2*i**3*(i + 3)*(i + 8)
Factor 242*y**3/17 - 2877710*y**2/17 + 1046416*y/17 - 95128/17.
2*(y - 11891)*(11*y - 2)**2/17
Suppose 6*l**2/5 + 171792*l/5 = 0. Calculate l.
-28632, 0
Factor 3*c**2 + 261*c - 12342.
3*(c - 34)*(c + 121)
Solve t**4/2 + 20*t**3 + 138*t**2 - 1672*t - 7744 = 0.
-22, -4, 8
Factor -2333*b**2/3 - 2345*b/3 - 4.
-(b + 1)*(2333*b + 12)/3
What is d in 2*d**4 + 880752*d**3 + 96966391436*d**2 + 193930140624*d + 96964629938 = 0?
-220187, -1
Determine z so that -5*z**5 - 200*z**4 - 2285*z**3 - 7590*z**2 = 0.
-23, -11, -6, 0
Factor 16*s**3 + 2978*s**2 + 3332*s + 370.
2*(s + 1)*(s + 185)*(8*s + 1)
Determine s so that -2*s**2/19 - 2616*s/19 - 59110/19 = 0.
-1285, -23
Find a, given that 3*a**5/7 - 2508*a**4/7 - 2523*a**3 - 35382*a**2/7 - 20232*a/7 = 0.
-4, -2, -1, 0, 843
Factor -z**2 + 594*z - 78408.
-(z - 396)*(z - 198)
Determine q, given that -2*q**3/21 - 528*q**2/7 + 530*q/7 + 3172/21 = 0.
-793, -1, 2
Let 2*q**4/7 + 819582*q**3/7 - 468336*q**2 + 3278360*q/7 = 0. What is q?
-409795, 0, 2
Factor -2*j**2/9 - 9984*j - 112140288.
-2*(j + 22464)**2/9
Let -3*l**3 - 1732*l**2 + 4636*l - 2320 = 0. What is l?
-580, 2/3, 2
What is s in s**2/3 - 10073*s/3 - 40340 = 0?
-12, 10085
Factor -g**2 + 140*g - 4875.
-(g - 75)*(g - 65)
What is q in q**2/7 - 555374*q/7 + 77110069969/7 = 0?
277687
Let 10*v**4/9 + 206*v**3/9 + 1030*v**2/9 + 182*v/3 = 0. What is v?
-13, -7, -3/5, 0
Find b such that -b**4/4 + 3745*b**3 + 14987*b**2 - 44952*b = 0.
-6, 0, 2, 14984
Let 3*g**4/8 - 8907*g**3/4 - 35709*g**2/2 + 98127*g - 107028 = 0. Calculate g.
-12, 2, 5946
Suppose 5*h**3/2 - 4951*h**2 + 1980*h = 0. What is h?
0, 2/5, 1980
Factor -2*w**3/17 + 29610*w**2/17 - 109549584*w/17 - 328915296/17.
-2*(w - 7404)**2*(w + 3)/17
Factor 4*p**2 + 4920*p + 24500.
4*(p + 5)*(p + 1225)
Factor -4*s**2 + 592872*s - 21968575524.
-4*(s - 74109)**2
Find h such that h**2/4 + 2047*h/4 + 1023/2 = 0.
-2046, -1
Find y such that 62*y**3/3 - 508*y**2/3 + 530*y/3 - 28 = 0.
6/31, 1, 7
Determine o