*2 - 12020*u - 25536.
-(u - 336)*(u - 38)*(u + 2)
Determine a so that 3*a**5/7 - 597*a**4/7 + 29997*a**3/7 - 29403*a**2/7 = 0.
0, 1, 99
Let -4*f**3 + 4340*f**2 - 1548128*f + 180843328 = 0. Calculate f.
277, 404
Factor 1257*q**3 + 12600*q**2 + 31725*q + 750.
3*(q + 5)**2*(419*q + 10)
Factor -4*d**3/9 + 140494*d**2/9 + 23416*d/3.
-2*d*(d - 35124)*(2*d + 1)/9
Factor -2*b**2/9 + 10*b/3 + 4592/9.
-2*(b - 56)*(b + 41)/9
Solve 4*c**3 - 328600*c**2 - 328612*c + 657208 = 0 for c.
-2, 1, 82151
Suppose -2*m**4 - 52*m**3 + 506*m**2 - 1268*m + 816 = 0. What is m?
-34, 1, 3, 4
Factor 2*m**2/5 + 222626*m/5 + 222624/5.
2*(m + 1)*(m + 111312)/5
Find d such that -3*d**2/2 + 415113*d/2 - 622656 = 0.
3, 138368
What is f in -f**4/3 + 53*f**3/3 - 688*f**2/3 + 260*f + 1584 = 0?
-2, 4, 18, 33
Factor k**3/3 - 16190*k**2/3 + 16189*k/3.
k*(k - 16189)*(k - 1)/3
What is b in 4*b**4/5 - 296*b**3 + 98868*b**2/5 + 1480464*b + 14397264/5 = 0?
-42, -2, 207
What is g in 5*g**3 - 86820*g**2 + 376277145*g + 5284910470 = 0?
-14, 8689
Suppose 2*k**2/7 + 1096*k/7 + 139784/7 = 0. Calculate k.
-346, -202
Solve -4*c**5 - 124*c**4 + 7720*c**3 - 46592*c**2 = 0.
-64, 0, 7, 26
What is i in 2*i**3/3 - 25196*i**2/3 + 79354802*i/3 = 0?
0, 6299
Find p such that -9*p**4/8 - 48*p**3 + 1347*p**2/8 - 753*p/4 + 69 = 0.
-46, 1, 4/3
Let 1405*m**2/2 - 5625*m/4 + 5/2 = 0. What is m?
1/562, 2
Factor -1922*h**2 - 362762*h - 34234201/2.
-(62*h + 5851)**2/2
What is o in -5*o**4 + 295*o**3 + 725*o**2 - 168715*o - 504300 = 0?
-20, -3, 41
What is x in -5*x**5 + 1260*x**4 - 100320*x**3 + 2013440*x**2 + 40888320*x = 0?
-12, 0, 88
Solve -3*l**3/5 + 16308*l**2/5 + 130608*l/5 + 261312/5 = 0 for l.
-4, 5444
Factor g**2/4 - 17947*g/2 + 17946.
(g - 35892)*(g - 2)/4
Determine j, given that 4*j**3 + 4788*j**2 + 4760*j - 28704 = 0.
-1196, -3, 2
What is c in 2*c**3/19 + 171632*c**2/19 - 2*c/19 - 171632/19 = 0?
-85816, -1, 1
Solve 7*a**4/3 - 284*a**3/3 + 433*a**2/3 - 52*a = 0.
0, 4/7, 1, 39
Factor 4*n**4 + 204*n**3 + 200*n**2.
4*n**2*(n + 1)*(n + 50)
Let -s**4 - 178*s**3 - 869*s**2 - 692*s = 0. Calculate s.
-173, -4, -1, 0
Factor j**5 + 28*j**4 - 159*j**3 + 198*j**2.
j**2*(j - 3)*(j - 2)*(j + 33)
Find c, given that c**4/3 + 245*c**3 + 2187*c**2 + 6543*c + 6534 = 0.
-726, -3
What is j in 459*j**2 - 290091*j/8 + 237/8 = 0?
1/1224, 79
Find j, given that -j**2 + 16479*j + 594540 = 0.
-36, 16515
Let -4*w**4 - 540*w**3 - 8908*w**2 + 33948*w + 42320 = 0. Calculate w.
-115, -23, -1, 4
Solve -2*r**3/7 + 66740*r**2/7 - 556778450*r/7 = 0 for r.
0, 16685
Let 5*p**2/2 + 750*p - 114345/2 = 0. Calculate p.
-363, 63
Let 3*c**2/7 - 2770848*c/7 + 639799886592/7 = 0. What is c?
461808
Solve -5*m**4 + 1343*m**3 + 562*m**2 - 6456*m = 0.
-12/5, 0, 2, 269
Suppose p**2 + 123606*p + 3819610809 = 0. What is p?
-61803
Factor -3*s**3/4 - 2607*s**2/4 - 570261*s/4 - 1687401/4.
-3*(s + 3)*(s + 433)**2/4
Find f, given that 3*f**5/5 + 927*f**4/5 + 106188*f**3/5 + 5341632*f**2/5 + 100644768*f/5 + 19081680 = 0.
-86, -50, -1
Factor -2*z**2/5 + 9642*z/5.
-2*z*(z - 4821)/5
Factor 5*b**2 + 8735*b + 155610.
5*(b + 18)*(b + 1729)
Solve 5*q**5 - 105*q**4 + 85*q**3 + 325*q**2 - 510*q + 200 = 0.
-2, 1, 20
Let -2*q**5/11 - 120*q**4/11 + 4362*q**3/11 - 29624*q**2/11 - 34104*q/11 = 0. Calculate q.
-87, -1, 0, 14
Factor 4*l**4 - 2944*l**3 + 810232*l**2 - 98821248*l + 4506973956.
4*(l - 201)**2*(l - 167)**2
Let -t**5/8 - 13*t**4 - 3119*t**3/8 - 1397*t**2 + 54450*t = 0. Calculate t.
-44, -25, 0, 9
Factor o**4/5 - 36*o**3/5 + 69*o**2/5 - 34*o/5.
o*(o - 34)*(o - 1)**2/5
Factor h**3/3 + 61*h**2 + 176*h/3 - 364.
(h - 2)*(h + 3)*(h + 182)/3
Find p, given that -6*p**4/5 + 23139*p**3/5 + 104211*p**2/5 + 138981*p/5 + 11583 = 0.
-5/2, -1, 3861
Solve 2*c**3 + 2336*c**2 + 606632*c - 45239520 = 0 for c.
-614, 60
Suppose 3*d**5 + 96*d**4 - 780*d**3 - 25254*d**2 - 83511*d + 272646 = 0. What is d?
-33, -9, 2, 17
Suppose 5*r**3 - 3720*r**2 + 36825*r - 91750 = 0. What is r?
5, 734
Let -4*j**3 + 28*j**2 + 2760*j = 0. What is j?
-23, 0, 30
Solve 361*r**3 + 8154553*r**2 - 1716760*r + 90356 = 0 for r.
-22589, 2/19
Factor -3*q**4 + 5835*q**3 + 123417*q**2 + 865977*q + 2023014.
-3*(q - 1966)*(q + 7)**3
Find c, given that 18260*c**3 + 2680528*c**2 - 542716*c + 1176 = 0.
-147, 2/913, 1/5
Factor -2*f**2/11 + 7760*f/11.
-2*f*(f - 3880)/11
Factor -5*r**3 + 865*r**2 - 12880*r + 50240.
-5*(r - 157)*(r - 8)**2
Find u, given that 2*u**4/13 + 3756*u**3/13 + 1767192*u**2/13 + 3519376*u/13 = 0.
-938, -2, 0
Factor -125*v**2 - 27895*v - 4460.
-5*(v + 223)*(25*v + 4)
Find n, given that -n**4/5 + 43*n**3/5 - 342*n**2/5 + 324*n/5 + 2376/5 = 0.
-2, 6, 33
Solve -o**4/4 - 8549*o**3/2 - 73085401*o**2/4 = 0 for o.
-8549, 0
Solve 2*m**3/3 - 232*m**2/3 - 179818*m/3 + 60016 = 0.
-248, 1, 363
Solve 3*c**3/5 + 24*c**2/5 - 46161*c/5 + 2085318/5 = 0.
-146, 69
Factor -2*n**3 - 1294*n**2 - 39872*n - 314880.
-2*(n + 16)**2*(n + 615)
Determine v so that 5*v**3 + 14880*v**2 - 405695*v - 870870 = 0.
-3003, -2, 29
Suppose -3*z**4 + 60*z**3 + 132*z**2 = 0. What is z?
-2, 0, 22
Factor 2*h**2 + 104036*h + 312090.
2*(h + 3)*(h + 52015)
Factor 3*t**3 + 1096*t**2 + 21003*t - 14490.
(t + 21)*(t + 345)*(3*t - 2)
Solve 5*s**2 - 32195*s + 289350 = 0 for s.
9, 6430
Factor -2*i**4/7 - 4864*i**3/7 - 2952442*i**2/7 + 5924356*i/7.
-2*i*(i - 2)*(i + 1217)**2/7
What is r in 5*r**4 + 14350*r**3 + 57340*r**2 + 57320*r = 0?
-2866, -2, 0
Determine a so that 4*a**4 + 17740*a**3 + 300352*a**2 - 318096*a = 0.
-4418, -18, 0, 1
Find m such that -4*m**2/9 + 95560*m/9 - 570732100/9 = 0.
11945
Factor u**5 - 1477*u**4 + 727662*u**3 - 119812824*u**2 + 114738336*u + 714572928.
(u - 492)**3*(u - 3)*(u + 2)
What is v in -4*v**5/5 - 664*v**4/5 + 15008*v**3/5 + 4451528*v**2/5 - 15004*v/5 - 4450864/5 = 0?
-121, -1, 1, 76
Solve -3*q**2 + 264984*q - 5851376688 = 0.
44164
Suppose -d**3/5 - 1104*d**2/5 + 6667*d/5 + 1554 = 0. What is d?
-1110, -1, 7
Solve -2*y**3 + 94*y**2 + 2472*y + 2376 = 0.
-18, -1, 66
Factor 2*d**3/17 - 44*d**2/17 + 122*d/17 + 48.
2*(d - 17)*(d - 8)*(d + 3)/17
Suppose t**2 + 12491*t - 112500 = 0. Calculate t.
-12500, 9
Solve 50858*x**2/7 - 101718*x/7 + 4/7 = 0.
1/25429, 2
Factor -9*l**4 - 4449*l**3 + 7440*l**2.
-3*l**2*(l + 496)*(3*l - 5)
Factor 250*q**2 - 202496*q - 3240.
2*(q - 810)*(125*q + 2)
Factor -4*r**2 + 920*r + 5664.
-4*(r - 236)*(r + 6)
Find a, given that a**2/3 - 89725*a/3 - 89726/3 = 0.
-1, 89726
Factor x**3/3 - 2162*x**2/3 + 198431*x/3 - 196270/3.
(x - 2066)*(x - 95)*(x - 1)/3
Solve i**3/3 + 3160*i**2 + 28433*i/3 + 6318 = 0.
-9477, -2, -1
Determine i so that -9*i**4 - 8*i**3 + 27*i**2 + 6*i - 16 = 0.
-2, -8/9, 1
Find x, given that 5*x**2 + 3040*x + 458160 = 0.
-332, -276
Find q such that 2*q**4 - 124*q**3 + 582*q**2 - 684*q = 0.
0, 2, 3, 57
Solve 20*m**4 - 13516*m**3 - 1190004*m**2/5 - 1354932*m/5 - 399168/5 = 0 for m.
-16, -3/5, 693
Factor -20*u**2 - 61868*u - 24744.
-4*(u + 3093)*(5*u + 2)
What is g in -g**2 - 9488*g + 85473 = 0?
-9497, 9
Factor a**2/7 + 559*a/7 + 1668/7.
(a + 3)*(a + 556)/7
Factor -h**3/3 + 2398*h**2/3 - 38176*h/3 + 50816.
-(h - 2382)*(h - 8)**2/3
Factor z**2 - 949*z - 91256.
(z - 1037)*(z + 88)
Factor -5*n**3 - 15*n**2 + 1040*n.
-5*n*(n - 13)*(n + 16)
Factor s**2/6 + 3*s/2 - 221/3.
(s - 17)*(s + 26)/6
Factor i**2/2 + 61173*i/2.
i*(i + 61173)/2
Let -5628*l**5 - 95684*l**4 - 489772*l**3 - 535356*l**2 + 1124840*l + 1600 = 0. Calculate l.
-8, -5, -2/1407, 1
Factor 2*d**2/3 + 3088*d/3 - 47670.
2*(d - 45)*(d + 1589)/3
Find j such that -3*j**5 - 18010*j**4 - 27042010*j**3 - 36018000*j**2 + 9018005*j + 18012002 = 0.
-3001, -1, 2/3
Solve -3*d**4/8 - 537*d**3/8 + 21195*d**2/8 + 43989*d/8 + 5565/2 = 0.
-212, -1, 35
Factor 2*v**3/9 - 392*v**2/9.
2*v**2*(v - 196)/9
Find a such that -2*a**3/11 + 3464*a**2/11 - 1510250*a/11 + 8937228/11 = 0.
6, 863
What is p in 5*p**5 + 115*p**4 - 960*p**3 + 2600*p**2 - 2960*p + 1200 = 0?
-30, 1, 2
Find c such that 5*c**2 - 12600*c - 113805 = 0.
-9, 2529
Find i such that -i**3/2 + 2163*i**2/2 - 1078*i - 6486 = 0.
-2, 3, 2162
Factor -5*z**4 - 2420*z**3 - 342260*z**2 - 11405760*z.
-5*z*(z + 48)*(z + 218)**2
Factor -3*k**2 - 942*k - 23247.
-3*(k + 27)*(k + 287)
Let 21*u**4 - 80904*u**3 + 450234*u**2 - 519264*u - 311607 = 0. What is u?
-3/7, 3, 3847
Factor 2*f**3/5 + 442*f**2/5 - 3682*f/5 - 4122