019, -1, 0, 7
Determine c, given that 15*c**3 - 8030*c**2 - 29665*c + 10780 = 0.
-4, 1/3, 539
Factor 2*d**3 + 5670*d**2 + 3958416*d - 85645728.
2*(d - 21)*(d + 1428)**2
Determine k so that 9*k**3 - 4647*k**2 + 107640*k - 638064 = 0.
12, 1477/3
Determine d, given that -d**3/2 - 19*d**2 + 9*d/2 + 171 = 0.
-38, -3, 3
Let -95*a**4/4 + 3658*a**3 - 14843*a**2/4 + 153*a/2 = 0. What is a?
0, 2/95, 1, 153
Determine r, given that -2*r**5 - 1204*r**4 - 11738*r**3 + 60248*r**2 - 80456*r + 33152 = 0.
-592, -14, 1, 2
What is i in 2*i**2/13 - 2232*i + 8095464 = 0?
7254
Factor 4*b**2/9 - 616*b/9 + 604/3.
4*(b - 151)*(b - 3)/9
Factor r**2/3 - 7126*r - 21379/3.
(r - 21379)*(r + 1)/3
Factor 16*y**3 - 9196*y**2 - 2300*y.
4*y*(y - 575)*(4*y + 1)
Suppose -3*q**2/7 + 776778*q - 351974035749 = 0. What is q?
906241
Factor -879844*h**2 - 75040*h - 1600.
-4*(469*h + 20)**2
Factor -3*r**2 + 4616250*r - 1775813671875.
-3*(r - 769375)**2
Solve 2*p**5/5 + 1118*p**4/5 + 208128*p**3/5 + 2580480*p**2 = 0 for p.
-192, -175, 0
Let -3*g**2 - 3099*g + 28134 = 0. Calculate g.
-1042, 9
Factor 6*x**2/7 + 27586*x/7 - 9196/7.
2*(x + 4598)*(3*x - 1)/7
Factor -p**3 - 927*p**2 - 7332*p + 18380.
-(p - 2)*(p + 10)*(p + 919)
Suppose -2*x**2/7 - 1451560*x/7 - 263378304200/7 = 0. Calculate x.
-362890
Factor -3*p**4 - 4275*p**3 + 4278*p**2.
-3*p**2*(p - 1)*(p + 1426)
Determine h, given that -h**3/7 - 114*h**2/7 + h/7 + 114/7 = 0.
-114, -1, 1
Factor -3*c**2/4 + 919674*c - 281933422092.
-3*(c - 613116)**2/4
Solve -3*v**4/5 - 1269*v**3/5 - 12417*v**2/5 - 11151*v/5 = 0 for v.
-413, -9, -1, 0
Solve -4*b**3 + 7016*b**2 - 14020*b + 7008 = 0 for b.
1, 1752
Factor 5*g**2 + 1895*g + 143000.
5*(g + 104)*(g + 275)
Determine j so that 2*j**3/3 - 5084*j**2 - 15254*j/3 = 0.
-1, 0, 7627
Solve -f**5/2 - 79*f**4/2 + 209*f**3 - 94*f**2 - 828*f + 1008 = 0 for f.
-84, -2, 2, 3
Factor i**4/8 - 505*i**3/8 + 741*i**2/4 + 3005*i/2 + 1757.
(i - 502)*(i - 7)*(i + 2)**2/8
Factor 27*b**3 - 15023439*b**2 + 10015617*b - 1669269.
3*(b - 556423)*(3*b - 1)**2
Find t, given that -t**2/10 + 180799*t/2 + 451998/5 = 0.
-1, 903996
Suppose f**3 - 463*f**2 + 2266*f + 10992 = 0. What is f?
-3, 8, 458
Determine k so that -14*k**4 - 474*k**3 - 2072*k**2 + 6144*k - 3584 = 0.
-28, -8, 1, 8/7
Determine o so that 2*o**3 - 190*o**2 - 1408*o - 2040 = 0.
-5, -2, 102
Solve -2*n**3 + 1636*n**2 - 341010*n + 2624400 = 0 for n.
8, 405
Factor -w**3 - 12051*w**2 - 36146*w - 24096.
-(w + 1)*(w + 2)*(w + 12048)
Determine l, given that 4*l**3 + 52268*l**2/5 - 83696*l/5 - 8368 = 0.
-2615, -2/5, 2
Let 2*h**5/3 - 27562*h**4/3 - 413822*h**3/3 - 800582*h**2/3 + 1903956*h - 1489968 = 0. What is h?
-9, 1, 2, 13796
Factor -x**3 + 1174*x**2 - 409244*x + 44618600.
-(x - 650)*(x - 262)**2
Factor 450*x**4 - 115080*x**3 + 7342088*x**2 + 1964032*x + 131072.
2*(x - 128)**2*(15*x + 2)**2
Find u such that 24*u**2 - 1197068*u - 199512 = 0.
-1/6, 49878
Let -35*a**5 + 5015*a**4 - 182835*a**3 + 228265*a**2 - 50410*a = 0. Calculate a.
0, 2/7, 1, 71
Find m, given that 11*m**2 + 7893*m + 20020 = 0.
-715, -28/11
Factor 4*i**4 + 38232*i**3 + 91317120*i**2 - 182787200*i.
4*i*(i - 2)*(i + 4780)**2
Suppose 10*o**5 - 4024*o**4 + 85418*o**3 - 113324*o**2 + 31920*o = 0. What is o?
0, 2/5, 1, 21, 380
Suppose 3*p**2/2 + 1083*p/2 - 9639 = 0. What is p?
-378, 17
Suppose r**4/7 - 45*r**3 + 32686*r**2/7 - 156492*r - 332024 = 0. What is r?
-2, 98, 121
Determine z, given that z**2/2 - 1517*z + 39273/2 = 0.
13, 3021
Suppose 112338*a**4/7 - 53562*a**3 + 316356*a**2/7 - 792*a - 52272/7 = 0. What is a?
-1/3, 66/79, 2
Factor 2*t**2/7 + 424*t - 44970/7.
2*(t - 15)*(t + 1499)/7
Suppose -h**3/2 + 952*h**2 - 456936*h + 3594816 = 0. Calculate h.
8, 948
Factor 2*s**3/17 + 31690*s**2 + 1077454*s/17 + 538726/17.
2*(s + 1)**2*(s + 269363)/17
Factor 361*r**2 + 983136*r + 669360384.
(19*r + 25872)**2
Solve 4*j**2 - 92912*j = 0 for j.
0, 23228
Find o such that -4*o**5 - 324*o**4 - 6680*o**3 - 6040*o**2 + 6684*o + 6364 = 0.
-43, -37, -1, 1
Factor k**4/6 - 19*k**3/3 + 67*k**2/2 - 146*k/3 + 64/3.
(k - 32)*(k - 4)*(k - 1)**2/6
Solve -c**3/3 + 11798*c**2/3 - 47156*c + 141432 = 0 for c.
6, 11786
What is d in -4*d**3 - 1020*d**2 + 89704*d + 90720 = 0?
-324, -1, 70
Determine t so that t**3/4 - 11*t**2 + 531*t/4 - 306 = 0.
3, 17, 24
Factor -l**3 + 16*l**2 - 60*l.
-l*(l - 10)*(l - 6)
Let p**5 - 200*p**4 - 4253*p**3 - 31872*p**2 - 102420*p - 118800 = 0. What is p?
-6, -5, -3, 220
Suppose 4*i**2/3 + 176*i/3 - 476 = 0. Calculate i.
-51, 7
Factor 346*k**3/11 + 2072*k**2/11 - 24*k/11.
2*k*(k + 6)*(173*k - 2)/11
Suppose 3*g**3 + 399*g**2 + 6552*g + 6156 = 0. Calculate g.
-114, -18, -1
Factor -g**2 + 2770*g - 159949.
-(g - 2711)*(g - 59)
Solve 2*i**4 + 32*i**3 - 458*i**2 - 128*i + 1800 = 0.
-25, -2, 2, 9
What is x in -24*x**5/11 - 110422*x**4/11 + 230146*x**3/11 - 18412*x**2/11 = 0?
-4603, 0, 1/12, 2
What is c in -2*c**2 + 130*c + 132 = 0?
-1, 66
Factor -19*d**3/3 + 1043*d**2/3 - 916*d/3 - 36.
-(d - 54)*(d - 1)*(19*d + 2)/3
Factor -k**3 - 21*k**2 + 1546*k + 4800.
-(k - 32)*(k + 3)*(k + 50)
Factor -50*h**4/3 + 19530*h**3 - 5731066*h**2 + 17134658*h/3.
-2*h*(h - 1)*(5*h - 2927)**2/3
Factor b**2 - 32*b - 1040.
(b - 52)*(b + 20)
Factor -w**3/4 + 82419*w**2/4 - 424586628*w + 1273574448.
-(w - 41208)**2*(w - 3)/4
Solve y**5/4 + 33*y**4/4 - 265*y**3/4 - 1089*y**2/4 + 1170*y = 0 for y.
-39, -5, 0, 3, 8
Determine m, given that m**2/3 + 19*m + 110/3 = 0.
-55, -2
Determine f, given that -27*f**4/5 - 680922*f**3/5 + 1134924*f**2/5 - 529638*f/5 + 75663/5 = 0.
-25221, 1/3, 1
Solve -117*a**5/4 + 80475*a**4/4 - 3457695*a**3 - 635715*a**2 + 2487120*a - 355008 = 0.
-1, 2/13, 2/3, 344
Factor -5*l**3 - 320*l**2 + 6625*l - 21060.
-5*(l - 13)*(l - 4)*(l + 81)
Solve 74*c**4/5 + 6072*c**3/5 - 2406*c**2 + 5548*c/5 + 336/5 = 0 for c.
-84, -2/37, 1
Factor -35*k**3 + 2025*k**2 - 3670*k + 1680.
-5*(k - 56)*(k - 1)*(7*k - 6)
Solve 5*n**4/2 + 58070*n**3 + 337270555*n**2 + 674366910*n + 674308845/2 = 0.
-11613, -1
Factor -m**2 - 6669*m.
-m*(m + 6669)
Factor -i**2 - 2686*i + 8067.
-(i - 3)*(i + 2689)
Factor l**3/5 + 72*l**2/5 - 301*l/5 + 228/5.
(l - 3)*(l - 1)*(l + 76)/5
Factor 2*n**2/3 + 53102*n/3.
2*n*(n + 26551)/3
Suppose v**3/4 + 32253*v**2/4 - v - 32253 = 0. What is v?
-32253, -2, 2
Suppose -q**5 - 9*q**4 + 88*q**3 + 324*q**2 - 1872*q = 0. What is q?
-13, -6, 0, 4, 6
Let -2*t**2/19 + 12752*t/19 = 0. What is t?
0, 6376
Factor 16*v**3 + 306*v**2 + 1032*v + 968.
2*(v + 2)**2*(8*v + 121)
Factor t**3/4 + 1869*t**2/4 - 7489*t/4 + 5619/4.
(t - 3)*(t - 1)*(t + 1873)/4
Solve -6*k**5/13 + 10*k**4/13 + 306*k**3/13 + 6*k**2 - 692*k/13 - 480/13 = 0 for k.
-6, -1, 5/3, 8
Factor -4*r**2 - 104400*r - 681210000.
-4*(r + 13050)**2
Solve 3*r**5 - 2358*r**4/7 - 10470*r**3 - 640452*r**2/7 - 1576971*r/7 + 504570/7 = 0 for r.
-11, -5, 2/7, 139
Determine b, given that 4*b**2 + 25440*b - 305856 = 0.
-6372, 12
Factor -u**2/9 + 1332098*u/3 - 443621270401.
-(u - 1998147)**2/9
Determine f, given that 2*f**3 - 129234*f**2 + 2087613726*f + 2087742962 = 0.
-1, 32309
What is q in 41*q**5/2 + 184*q**4 + 139*q**3 - 926*q**2 + 1193*q/2 - 14 = 0?
-7, -4, 1/41, 1
Suppose -h**2/3 + 3935*h/3 = 0. What is h?
0, 3935
Find h, given that 2*h**3/3 - 190*h**2/3 + 6014*h/3 - 21142 = 0.
31, 33
Factor -2*k**2 - 2012*k - 33626.
-2*(k + 17)*(k + 989)
Solve -5*t**3 + 4215*t**2 - 20970*t + 16760 = 0.
1, 4, 838
Determine z, given that -z**2 - 16126*z - 16125 = 0.
-16125, -1
Factor 2*k**4/3 - 842*k**3/3 + 836*k**2.
2*k**2*(k - 418)*(k - 3)/3
Factor f**2 + 974*f - 1952.
(f - 2)*(f + 976)
Determine l so that 2*l**5 - 494*l**4 + 34460*l**3 - 636548*l**2 - 5453470*l + 6056050 = 0.
-7, 1, 55, 143
Solve 74220*s**3 + 148521*s**2 + 74382*s + 81 = 0 for s.
-1, -27/24740
Suppose 2*k**5/7 - 102*k**4 + 63286*k**3/7 + 13214*k**2 - 2483088*k/7 - 1025312 = 0. Calculate k.
-4, 7, 179
Factor -3*u**2 - 74184*u - 458605488.
-3*(u + 12364)**2
Solve 4*b**5 - 12*b**4 - 1372*b**3 + 28*b**2 + 4104*b + 2720 = 0.
-17, -1, 2, 20
What is k in 2*k**2/9 + 313076*k/9 = 0?
-156538, 0
Suppose 2*v**2 - 29346*v - 58700 = 0. Calculate v.
-2, 14675
Factor d**5/2 + 249*d**4 - 999*d**3/2 + 250*d**2.
d**2*(d - 1)**2*(d + 500)/2
Factor 5*j**4/2 + 3460*j**3 + 1193695*j**2 - 2397780*j + 2401245/2.
5*(j - 1)**2*(j + 693)**2/2
Factor 29727*t**3 - 