, 24
Factor -z**5 + 645*z**4 - 104970*z**3 + 311050*z**2 - 309765*z + 103041.
-(z - 321)**2*(z - 1)**3
What is k in 98*k**5/15 + 14056*k**4/15 + 48634*k**3/5 - 254992*k**2/15 + 108664*k/15 - 4576/5 = 0?
-132, -13, 2/7, 1
Solve 6*u**3 - 135856*u**2 + 769080814*u - 512660164 = 0.
2/3, 11321
Let 6*w**5/7 - 37368*w**4/7 - 448956*w**3/7 - 2021112*w**2/7 - 4043034*w/7 - 3032640/7 = 0. Calculate w.
-3, 6240
Factor -4*j**4 - 15296*j**3 - 14577016*j**2 + 87875520*j - 132020100.
-4*(j - 3)**2*(j + 1915)**2
What is q in q**4 - 38*q**3 - 615*q**2 + 724*q + 1300 = 0?
-13, -1, 2, 50
Factor 2*v**2/13 - 77424*v/13 + 749309472/13.
2*(v - 19356)**2/13
Factor -4*s**2 + 6320*s - 1255404.
-4*(s - 1347)*(s - 233)
Determine g so that 2025*g**4/2 + 30285*g**3 + 247729*g**2/2 - 11190*g + 250 = 0.
-25, -5, 2/45
Solve -4*b**5 - 24*b**4 + 744*b**3 + 2704*b**2 - 28260*b - 113400 = 0 for b.
-14, -5, 9
Factor -4*r**4 + 64884*r**3 + 194676*r**2 + 194684*r + 64896.
-4*(r - 16224)*(r + 1)**3
Factor 2*n**3 + 1244*n**2 - 11342*n + 10096.
2*(n - 8)*(n - 1)*(n + 631)
Solve 9*s**2 + 56721*s - 37818 = 0 for s.
-6303, 2/3
Determine w, given that -60*w**5 + 544*w**4 + 3984*w**3 + 2792*w**2 - 7764*w + 504 = 0.
-3, 1/15, 1, 14
Factor 3*t**2 + 2295*t + 410400.
3*(t + 285)*(t + 480)
Suppose 24*d**3 + 7343*d**2 - 306*d = 0. Calculate d.
-306, 0, 1/24
Solve -u**4/5 + 17*u**3/5 + 4888*u**2/5 + 116212*u/5 + 305184/5 = 0.
-34, -3, 88
Factor -5*n**2 - 6220*n + 37500.
-5*(n - 6)*(n + 1250)
Factor -2*n**5 - 1456*n**4 - 262064*n**3 + 1065792*n**2 - 1071648*n.
-2*n*(n - 2)**2*(n + 366)**2
Factor -r**4 - 17*r**3 - 55*r**2 - 39*r.
-r*(r + 1)*(r + 3)*(r + 13)
Find h such that 3*h**2/5 + 315321*h/5 - 630654/5 = 0.
-105109, 2
Determine x, given that 2*x**5 - 546*x**4 + 52168*x**3 - 1951168*x**2 + 20235456*x - 33074912 = 0.
2, 13, 86
Determine i so that i**3/7 + 40657*i**2/7 + 5808*i = 0.
-40656, -1, 0
Factor 1767*b**2 - 15906*b + 27.
3*(b - 9)*(589*b - 1)
Determine o, given that -3*o**5/7 + 25656*o**4/7 - 281853*o**3/7 = 0.
0, 11, 8541
Factor 19044*n**2 - 112056*n + 164836.
4*(69*n - 203)**2
Factor 4*k**3/9 - 752*k**2/9 + 1988*k - 9016.
4*(k - 161)*(k - 21)*(k - 6)/9
Factor t**2 + 137*t + 3052.
(t + 28)*(t + 109)
Suppose 3*d**2/8 - 243*d/4 - 9288 = 0. Calculate d.
-96, 258
Solve -65*q**4 - 27264*q**3 - 172799*q**2 + 102396*q - 11564 = 0 for q.
-413, -7, 2/13, 2/5
Factor -3*k**3 + 228039*k**2 - 4333596144*k + 4333368108.
-3*(k - 38006)**2*(k - 1)
Let 20*p**4 - 34445*p**3 + 180390*p**2 - 180305*p + 34340 = 0. Calculate p.
1/4, 1, 4, 1717
Suppose 4*d**2/3 - 73268*d/3 + 195296 = 0. What is d?
8, 18309
Factor -5*m**3 - 60175*m**2 + 481685*m - 421505.
-5*(m - 7)*(m - 1)*(m + 12043)
What is k in 2*k**2/9 - 928*k/9 - 50998/3 = 0?
-129, 593
Solve -5*x**2/4 + 14105*x/4 - 98245/2 = 0 for x.
14, 2807
Factor -u**2/2 + 498*u - 81952.
-(u - 788)*(u - 208)/2
Suppose -5*d**2 - 48395*d - 96770 = 0. Calculate d.
-9677, -2
Suppose -5*w**2 + 222650*w + 667995 = 0. Calculate w.
-3, 44533
What is p in 90*p**4 - 22585*p**3 + 1512455*p**2 - 11775115*p - 658845 = 0?
-1/18, 9, 121
Factor -4*d**5 + 164*d**4 - 1128*d**3 + 2376*d**2 + 108*d - 3564.
-4*(d - 33)*(d - 3)**3*(d + 1)
Suppose -2*k**3/11 - 130*k**2/11 - 2494*k/11 - 11774/11 = 0. What is k?
-29, -7
Factor -5*q**2 + 376130*q + 1128435.
-5*(q - 75229)*(q + 3)
Solve 2*t**2 - 11754*t = 0 for t.
0, 5877
Find q such that -3*q**3/4 - 133215*q**2 + 1065729*q/4 - 266433/2 = 0.
-177622, 1
Factor -149*y**2 - 296*y + 4.
-(y + 2)*(149*y - 2)
What is n in -n**3/2 + 296*n**2 - 43210*n - 177608 = 0?
-4, 298
Factor -5*g**2 + 2435770*g - 296648774645.
-5*(g - 243577)**2
Solve -2*a**2 + 788*a + 101184 = 0.
-102, 496
Suppose -p**4/4 + 3295*p**3/4 - 8229*p**2/2 + 6581*p - 3290 = 0. Calculate p.
1, 2, 3290
Let -u**3 - 186*u**2/11 + 29*u/11 + 204/11 = 0. Calculate u.
-17, -1, 12/11
Determine l, given that -3*l**3/4 + 5481*l**2/4 - 630630*l + 4347525 = 0.
7, 910
Solve -4*f**4 + 112*f**3 - 208*f**2 - 8064*f - 20736 = 0.
-4, 18
What is o in o**3/6 + 1046*o**2/3 + 22901*o/6 + 10405/3 = 0?
-2081, -10, -1
Factor -5*v**2 - 1270*v + 10480.
-5*(v - 8)*(v + 262)
Factor 5*q**2 - 595855*q + 595850.
5*(q - 119170)*(q - 1)
Find d such that -4*d**3 - 2956*d**2 - 11760*d = 0.
-735, -4, 0
Suppose -2*p**3/3 + 53699*p**2/3 + 26851*p/3 - 8950 = 0. Calculate p.
-1, 1/2, 26850
Solve -5*i**3 + 525*i**2 - 11115*i - 146205 = 0.
-9, 57
Factor f**2 + 2302*f + 59176.
(f + 26)*(f + 2276)
Let -5*y**4/2 + 150*y**3 - 1505*y**2/2 - 36015*y - 157780 = 0. Calculate y.
-7, 28, 46
Find l, given that 4*l**2 - 79908*l + 79904 = 0.
1, 19976
Factor -t**3 + 85*t**2 + 1616*t.
-t*(t - 101)*(t + 16)
Find u, given that -3*u**5 + 510*u**4 - 10374*u**3 + 33996*u**2 - 5391*u - 50274 = 0.
-1, 2, 3, 19, 147
Factor -5*n**2 - 50*n + 720.
-5*(n - 8)*(n + 18)
Factor -4*w**3 + 867*w**2 - 44063*w - 11070.
-(w - 135)*(w - 82)*(4*w + 1)
Find u, given that -u**5/3 - 29*u**4/3 - 68*u**3 + 704*u**2/3 + 9280*u/3 + 2800 = 0.
-14, -10, -1, 6
Solve -5*h**5/3 - 137890*h**4 - 3309160*h**3/3 - 9927280*h**2/3 - 4412080*h - 6618080/3 = 0.
-82726, -2
Find u such that 4*u**5 + 1724*u**4 + 181384*u**3 - 946960*u**2 + 394144*u + 1520768 = 0.
-218, -1, 2, 4
Determine d, given that -2*d**3 - 40536*d**2 - 405210*d - 1012900 = 0.
-20258, -5
Factor 4*q**3 + 1108*q**2 - 33952*q + 63440.
4*(q - 26)*(q - 2)*(q + 305)
Factor -5*d**3 - 18340*d**2 + 18345*d.
-5*d*(d - 1)*(d + 3669)
What is l in -3*l**4 - 258*l**3 + 1965*l**2 + 1032*l - 7812 = 0?
-93, -2, 2, 7
Find f, given that f**4/4 - 93283*f**3 - 559701*f**2/2 - 279851*f - 373135/4 = 0.
-1, 373135
Solve -s**4/4 + 227*s**3/2 - 2501*s**2 + 19357*s/2 + 218517/4 = 0.
-3, 13, 431
Factor 5*u**4 + 97*u**3/7 - 164*u**2/7 + 32*u/7.
u*(u - 1)*(u + 4)*(35*u - 8)/7
What is i in 2*i**2/15 - 34*i/5 - 468 = 0?
-39, 90
Solve -5*c**5/4 + 860*c**4 - 33945*c**3/4 + 15125*c**2/2 + 44030*c + 27120 = 0 for c.
-1, 4, 8, 678
What is q in -21*q**4 + 342*q**3 - 1755*q**2 + 2754*q = 0?
0, 3, 6, 51/7
Factor 32*t**4 + 2177*t**3 + 4292*t**2 + 132*t.
t*(t + 2)*(t + 66)*(32*t + 1)
Let 2*v**2/9 - 2074*v/9 + 3440/3 = 0. What is v?
5, 1032
Solve 4*w**4/5 + 177*w**3/5 - 416*w**2 + 1413*w/5 + 486/5 = 0.
-54, -1/4, 1, 9
Let -4*f**4 + 464*f**3 - 1560896*f + 45265984 = 0. Calculate f.
-58, 58
Factor -5*u**3 + 1355*u**2 + 8265*u + 12465.
-5*(u - 277)*(u + 3)**2
Find y such that -3*y**3 - 363*y**2 - 11013*y - 10653 = 0.
-67, -53, -1
Determine i, given that -7*i**3/8 - 515*i**2/8 - 643*i/4 - 71 = 0.
-71, -2, -4/7
What is l in 2*l**2/11 - 2210*l/11 - 22300/11 = 0?
-10, 1115
Factor 5*q**2 - 520*q - 42660.
5*(q - 158)*(q + 54)
Factor i**3/3 - 95645*i**2 + 6860926696*i + 20583067024/3.
(i - 143468)**2*(i + 1)/3
Factor 2*x**4/5 - 718*x**3/5 - 2904*x**2/5.
2*x**2*(x - 363)*(x + 4)/5
Let 208*c**2/17 - 122*c - 60/17 = 0. What is c?
-3/104, 10
Suppose -2*u**3/3 + 5452*u**2/15 - 762346*u/15 + 1736664/5 = 0. Calculate u.
36/5, 269
Determine w, given that -2*w**4 - 476*w**3 - 3690*w**2 - 2272*w + 6440 = 0.
-230, -7, -2, 1
Find n such that 2*n**3/11 - 72*n/11 = 0.
-6, 0, 6
Factor -2*c**2/5 + 4354*c - 65292/5.
-2*(c - 10882)*(c - 3)/5
Determine b so that -75*b**5/2 + 1502985*b**4/2 - 601176*b**3 + 120234*b**2 = 0.
0, 2/5, 20039
What is c in 2*c**4/7 - 216*c**3/7 + 1038*c**2/7 - 824*c/7 = 0?
0, 1, 4, 103
Factor -4*l**4 + 128864*l**3 + 257740*l**2 + 128872*l.
-4*l*(l - 32218)*(l + 1)**2
Factor j**2/9 + 4325*j/9 + 17284/9.
(j + 4)*(j + 4321)/9
Factor 5*z**3 - 245*z**2 + 1830*z + 4680.
5*(z - 39)*(z - 12)*(z + 2)
Factor 2*f**2 - 289016*f + 10441281032.
2*(f - 72254)**2
Let 3*f**2/4 - 2925*f/4 + 2913 = 0. Calculate f.
4, 971
What is r in 2*r**5 - 6*r**4 - 78*r**3 + 166*r**2 - 84*r = 0?
-6, 0, 1, 7
Factor 48*j**4 - 513*j**3 + 495*j**2 + 9525*j - 25875.
3*(j - 5)**3*(16*j + 69)
Factor -5*d**2 + 1414640*d - 100060316480.
-5*(d - 141464)**2
Find n, given that 42*n**5 - 506*n**4 + 1238*n**3 - 766*n**2 - 80*n + 72 = 0.
-2/7, 1/3, 1, 2, 9
Let 2*g**3/15 + 574*g**2 + 3090272*g/5 + 9262208/15 = 0. Calculate g.
-2152, -1
Let 2*k**3 + 61922*k**2 - 619370*k + 1548550 = 0. Calculate k.
-30971, 5
Factor y**2/5 - 353*y/5 + 2082/5.
(y - 347)*(y - 6)/5
Determine z so that 605*z**3 + 1225*z**2 - 4810*z - 120 = 0.
-4, -3/121, 2
What is q in 2*q**4 - 3*q**3 - 384*q**2 - 1247*q - 528 = 0?
-11, -3, -1/2, 1