1
Factor f**3/7 + 225*f**2/7 - 916*f/7.
f*(f - 4)*(f + 229)/7
Solve -h**3 + 250*h**2 + 26987*h + 78684 = 0 for h.
-79, -3, 332
Let 2*x**3/5 + 2804*x**2/5 - 8*x/5 - 11216/5 = 0. Calculate x.
-1402, -2, 2
What is c in -6*c**5 + 923*c**4 - 13094*c**3 - 2208*c**2 = 0?
-1/6, 0, 16, 138
Factor 2*p**3 - 370*p**2 + 4868*p - 13680.
2*(p - 171)*(p - 10)*(p - 4)
Factor 555*h**3 - 2089*h**2 - 520*h - 16.
(h - 4)*(5*h + 1)*(111*h + 4)
Suppose -4*p**4 - 36*p**3 - 52*p**2 + 180*p + 200 = 0. What is p?
-5, -1, 2
Determine t, given that 28*t**4 + 4668*t**3 + 129004*t**2 - 5849340*t + 1660600 = 0.
-95, 2/7, 23
Factor j**4 - 394*j**3 + 1176*j**2 - 1174*j + 391.
(j - 391)*(j - 1)**3
Determine r so that 3*r**5/5 - 606*r**4/5 - 3315*r**3 - 20730*r**2 + 65100*r + 681000 = 0.
-10, 5, 227
Determine s so that 18*s**3/11 + 1464*s**2 - 201090*s/11 + 21768 = 0.
-907, 4/3, 11
Find k such that -2*k**4/9 - 3086*k**3/3 = 0.
-4629, 0
Suppose -4*a**5 - 1040*a**4 - 12988*a**3 - 35136*a**2 + 108432*a + 426816 = 0. What is a?
-247, -6, -4, 3
Let -2*b**2/5 + 18916*b/5 + 75696/5 = 0. What is b?
-4, 9462
Factor 24*i**3/5 + 1444*i**2/5 + 20336*i/5 - 42284/5.
4*(i + 31)**2*(6*i - 11)/5
What is f in -3*f**2/4 + 12711*f/4 - 3177 = 0?
1, 4236
Suppose -27*m**3 + 41835*m**2 - 16193625*m - 9009375 = 0. What is m?
-5/9, 775
Let -3*k**5 + 93*k**4 - 615*k**3 + 1515*k**2 - 1542*k + 552 = 0. What is k?
1, 2, 4, 23
Factor 98*a**2/3 - 490168*a/3 + 612920072/3.
2*(7*a - 17506)**2/3
Factor -24*p**3 - 28*p**2 + 1340*p + 224.
-4*(p - 7)*(p + 8)*(6*p + 1)
Suppose -5*w**3 + 7340*w**2 - 3430505*w + 495825090 = 0. Calculate w.
282, 593
What is x in 32*x**4/7 - 146*x**3 + 8128*x**2/7 + 512*x/7 = 0?
-1/16, 0, 16
What is b in -2*b**5/7 + 9338*b**4 + 130738*b**3/7 + 65370*b**2/7 = 0?
-1, 0, 32685
Determine l so that 3*l**5 + 5124*l**4 - 20532*l**3 + 20544*l**2 = 0.
-1712, 0, 2
Factor o**2/2 + 11764*o - 70602.
(o - 6)*(o + 23534)/2
What is n in -3*n**2/8 + 16797*n/4 + 8400 = 0?
-2, 11200
Factor 2*a**2/11 + 7956*a/11 + 158320/11.
2*(a + 20)*(a + 3958)/11
Determine h so that 14*h**3 - 4007308*h**2 + 286759811880*h - 81931047696 = 0.
2/7, 143118
Factor -5*q**2 - 445*q + 1860.
-5*(q - 4)*(q + 93)
Solve -n**5/3 + 5*n**4/3 + 53*n**3/3 - 265*n**2/3 - 196*n/3 + 980/3 = 0 for n.
-7, -2, 2, 5, 7
Determine w so that -867*w**5/4 + 83725*w**4/2 + 36402*w**3 - 24072*w**2 + 3104*w = 0.
-4/3, 0, 4/17, 194
Factor -n**2/6 + 1417*n/6 + 3580.
-(n - 1432)*(n + 15)/6
Suppose 3*d**2/8 + 93*d/2 + 11289/8 = 0. Calculate d.
-71, -53
Let -d**2 - 1014*d + 4072 = 0. Calculate d.
-1018, 4
Solve -z**3/4 + 17*z**2/4 + 37*z/4 + 19/4 = 0.
-1, 19
Find u such that u**2/2 - 47917*u/2 + 95826 = 0.
4, 47913
Let q**3 + 6534*q**2 + 10554705*q - 388484100 = 0. What is q?
-3285, 36
Let 2*j**2 - 798*j + 9288 = 0. Calculate j.
12, 387
Factor -2*t**2/3 - 147688*t - 8179404504.
-2*(t + 110766)**2/3
Determine v so that -1805*v**2 + 110095*v + 610 = 0.
-2/361, 61
Factor -897*q**4 + 903*q**3 - 6*q**2.
-3*q**2*(q - 1)*(299*q - 2)
What is r in -4*r**4 - 468*r**3 - 14348*r**2 - 37164*r + 51984 = 0?
-57, -4, 1
Factor -637*k**3 - 144*k**2 + 637*k + 144.
-(k - 1)*(k + 1)*(637*k + 144)
Factor -5*z**4 - 25205*z**3 - 75585*z**2 - 75575*z - 25190.
-5*(z + 1)**3*(z + 5038)
Factor -4*b**3 - 72*b**2.
-4*b**2*(b + 18)
Determine i so that 3*i**4 - 1044*i**3 + 103386*i**2 - 2185092*i + 13141947 = 0.
13, 161
Factor 4*o**4/5 - 14448*o**3/5 + 13032088*o**2/5 + 26107536*o/5 + 13060996/5.
4*(o - 1807)**2*(o + 1)**2/5
Factor -4*j**2 + 41528*j + 374076.
-4*(j - 10391)*(j + 9)
What is z in 3*z**4/4 + 219*z**3 - 19881*z**2/2 + 99981*z + 440559/4 = 0?
-333, -1, 21
Factor 2*v**5 - 1832*v**4 + 10944*v**3 - 21860*v**2 + 18206*v - 5460.
2*(v - 910)*(v - 3)*(v - 1)**3
Solve -2*f**5/7 + 76*f**4/7 - 474*f**3/7 - 232*f**2/7 + 1592*f/7 - 960/7 = 0 for f.
-2, 1, 8, 30
What is q in -q**4/7 + 2872*q**3/7 - 2070694*q**2/7 + 12346728*q/7 - 18481401/7 = 0?
3, 1433
Determine p so that 2*p**2/9 - 28292*p/9 = 0.
0, 14146
Factor -20*k**2/3 - 174604*k/3 + 139696/3.
-4*(k + 8731)*(5*k - 4)/3
Let -3*n**2 - 228003*n - 228000 = 0. Calculate n.
-76000, -1
Find h such that 788045*h**3/7 - 121879*h**2/7 - 963*h - 81/7 = 0.
-9/397, 1/5
Find z such that -20*z**5 + 692*z**4 - 3804*z**3 + 2268*z**2 + 22464*z - 36288 = 0.
-12/5, 3, 28
Factor -2*u**2/9 - 2068*u/3 + 12416/9.
-2*(u - 2)*(u + 3104)/9
Suppose 4*u**5 - 4*u**4 - 84*u**3 - 44*u**2 + 272*u + 240 = 0. What is u?
-3, -2, -1, 2, 5
Determine q, given that -3*q**3 - 257766*q**2 + 515541*q - 257772 = 0.
-85924, 1
Let p**2/3 + 805*p/3 + 6376/3 = 0. What is p?
-797, -8
Let -27*u**2 - 969*u = 0. Calculate u.
-323/9, 0
Find w, given that 162*w**5 + 5256*w**4 + 62108*w**3 + 329840*w**2 + 804162*w + 734472 = 0.
-101/9, -4, -3
Determine k so that 2*k**5/7 - 5438*k**4/7 + 4930340*k**3/7 - 1491975432*k**2/7 + 1211553936*k/7 + 11898838656 = 0.
-7, 8, 906
Solve 3*p**2 + 80724*p - 161460 = 0 for p.
-26910, 2
Solve -42*q**4 - 164*q**3 + 2242*q**2 + 6844*q - 672 = 0 for q.
-8, -3, 2/21, 7
Suppose -9*k**5/5 + 167*k**4 + 3714*k**3/5 - 2564*k**2/5 - 14712*k/5 - 3104/5 = 0. Calculate k.
-4, -2, -2/9, 2, 97
What is u in -u**3/4 - 101*u**2/2 - 1104*u - 6408 = 0?
-178, -12
Suppose -99*z**5 - 11733*z**4 + 187686*z**3 - 402804*z**2 + 131160*z + 38304 = 0. Calculate z.
-133, -2/11, 2/3, 2, 12
Solve 5*d**3/2 + 2228535*d**2/2 + 4457055*d/2 + 2228525/2 = 0.
-445705, -1
Factor -5*s**4 - 285*s**3 + 3265*s**2 - 5655*s + 2680.
-5*(s - 8)*(s - 1)**2*(s + 67)
Determine j, given that -j**5/9 + 123*j**4 - 12055*j**3/9 - 123*j**2 + 12056*j/9 = 0.
-1, 0, 1, 11, 1096
Find t such that -t**5 - 51*t**4/7 + 91*t**3 + 1607*t**2/7 + 162*t + 208/7 = 0.
-13, -1, -2/7, 8
Factor -2*o**2/15 + 2134*o/15 - 2132/15.
-2*(o - 1066)*(o - 1)/15
Determine y so that 4*y**4 - 12020*y**3 + 167692*y**2 - 586236*y = 0.
0, 7, 2991
Factor 5*r**4 + 30200*r**3 + 46172190*r**2 + 1721973800*r + 16255831805.
5*(r + 19)**2*(r + 3001)**2
Suppose -a**2/2 - 5165*a - 20652 = 0. What is a?
-10326, -4
Suppose -2*x**4/13 + 120*x**3/13 + 8124*x**2/13 + 15880*x/13 + 606 = 0. Calculate x.
-39, -1, 101
Factor -2*n**4/21 - 108*n**3/7 - 5800*n**2/7 - 309488*n/21.
-2*n*(n + 46)*(n + 58)**2/21
Let 4*o**2 + 3796*o + 11352 = 0. What is o?
-946, -3
Factor 5*v**3/4 - 3975*v**2/4 + 3960*v - 3955.
5*(v - 791)*(v - 2)**2/4
Factor -2*b**5 + 518*b**4 - 1030*b**3 + 514*b**2.
-2*b**2*(b - 257)*(b - 1)**2
Find s such that 4*s**3 - 1452*s**2 + 163404*s - 5337252 = 0.
57, 153
Determine b, given that b**2/6 - 78328*b/3 + 52218 = 0.
2, 156654
Determine s, given that -4*s**5 + 18176*s**4 + 218544*s**3 + 656064*s**2 = 0.
-6, 0, 4556
Factor 5*k**2 - 94960*k + 450870080.
5*(k - 9496)**2
Factor 5*k**3 - 955*k**2 - 1930*k.
5*k*(k - 193)*(k + 2)
Let -10*x**4 - 3405*x**3 - 85595*x**2 + 151545*x + 408465 = 0. Calculate x.
-313, -29, -3/2, 3
Factor -p**2/4 - 603*p/2 + 276391/4.
-(p - 197)*(p + 1403)/4
Factor -5*a**2/6 + 12545*a - 376225/6.
-5*(a - 15049)*(a - 5)/6
Factor y**4/4 + 175*y**3/4 + 8079*y**2/4 + 36805*y/4 + 7225.
(y + 1)*(y + 4)*(y + 85)**2/4
Let 3*d**4/5 + 4488*d**3/5 + 1828242*d**2/5 + 22399608*d + 373651215 = 0. Calculate d.
-713, -35
Factor -2*w**3/7 - 1214*w**2/7 - 9338*w - 923418/7.
-2*(w + 29)**2*(w + 549)/7
Factor 3*u**3 - 2067*u**2 + 2058*u + 4128.
3*(u - 688)*(u - 2)*(u + 1)
Factor 5*o**2 + 47085*o - 47090.
5*(o - 1)*(o + 9418)
Factor u**4/5 - 37269*u**3/5 + 44718*u**2 - 447164*u/5 + 298104/5.
(u - 37263)*(u - 2)**3/5
Find v such that v**4/5 - 5929*v**3/5 + 24843*v**2 - 868819*v/5 + 2026444/5 = 0.
7, 5908
Let -3*h**2/7 + 7536*h/7 + 22635/7 = 0. Calculate h.
-3, 2515
Factor -5*o**2 - 195560*o + 1173540.
-5*(o - 6)*(o + 39118)
Determine o, given that 3*o**3/7 + 30953*o**2/7 + 11405075*o - 3802183 = 0.
-5159, 1/3
Factor x**2/7 - 284440*x/7 + 284439/7.
(x - 284439)*(x - 1)/7
Factor -2*i**4 + 546*i**3/5 + 44*i**2.
-2*i**2*(i - 55)*(5*i + 2)/5
Factor i**4/7 + 510*i**3/7 - 2588*i**2/7 - 6702*i/7 - 515.
(i - 7)*(i + 1)**2*(i + 515)/7
Determine y so that 2*y**4/7 - 368*y**3/7 - 2256*y**2/7 + 3534400*y/7 - 23256352 = 0.
-98, 94
Solve -3*b**3/8 - 11649*b**2/4 - 5823*b = 0 for b.
-7764, -2, 0
Determine i, given that i**4/9 + 62*i**3/3 - 6691*i**2/9 + 20560*i/3 - 10900 = 0.
-218, 2, 15
Suppose -3*w**4/2 - 2163*w**3/2 + 15387*w**2 - 35472*w - 141120 = 0. What is