+ 530)**3
Factor 4*n**2 - 118836*n - 118840.
4*(n - 29710)*(n + 1)
Let 2*b**3 + 422*b**2 + 8492*b - 29328 = 0. What is b?
-188, -26, 3
What is z in -2*z**2/19 + 3337444*z/19 - 1392316556642/19 = 0?
834361
Factor i**5/8 - 31541*i**4/4 + 126159*i**3/4 - 47309*i**2 + 252313*i/8 - 31539/4.
(i - 63078)*(i - 1)**4/8
Suppose -5*u**3 + 845*u**2 - 1670*u = 0. Calculate u.
0, 2, 167
What is l in 36*l**4 + 903*l**3 - 16044*l**2 - 6033*l + 10878 = 0?
-37, -1, 2/3, 49/4
Suppose 3*l**5 - 25629*l**4 + 54749907*l**3 - 54365487*l**2 - 766755546*l + 1313383752 = 0. Calculate l.
-4, 2, 3, 4271
Factor 5*m**2 + 10245*m/2 - 7695.
5*(m + 1026)*(2*m - 3)/2
Find n, given that n**5/3 + 6*n**4 + 17*n**3 - 182*n**2/3 = 0.
-13, -7, 0, 2
Factor 42632*b**3/13 - 18673400*b**2/13 + 255794*b/13 - 876/13.
2*(b - 438)*(146*b - 1)**2/13
Let 3*u**4/7 - 264*u**3/7 - 810*u**2/7 + 583200*u/7 - 12848625/7 = 0. What is u?
-47, 45
Let -w**3/3 - 11*w**2 + 229*w/3 - 65 = 0. What is w?
-39, 1, 5
Factor -4*d**2 + 236507*d + 59127.
-(d - 59127)*(4*d + 1)
Factor -4*p**2 + 5324*p - 5320.
-4*(p - 1330)*(p - 1)
Factor 15*k**3 - 1651505*k**2 - 1101010*k.
5*k*(k - 110101)*(3*k + 2)
Solve 7*h**3/4 - 241*h**2/2 + 1673*h/4 + 2665/2 = 0.
-2, 41/7, 65
Factor 2*o**3 - 62*o**2 + 632*o - 2112.
2*(o - 12)*(o - 11)*(o - 8)
What is w in -2*w**5 + 12*w**4 + 170*w**3 + 212*w**2 - 648*w - 1040 = 0?
-5, -2, 2, 13
Determine s, given that 2*s**5 - 12*s**4 - 40*s**3 + 60*s**2 + 38*s - 48 = 0.
-3, -1, 1, 8
Factor -4*c**3 - 39224*c**2 - 96236036*c - 384316816.
-4*(c + 4)*(c + 4901)**2
Factor 4*f**2 - 58132*f + 58128.
4*(f - 14532)*(f - 1)
Factor -f**3/4 + 16995*f**2/2 - 288830025*f/4.
-f*(f - 16995)**2/4
Factor 4*h**2 - 7312*h - 192816.
4*(h - 1854)*(h + 26)
Let 3*v**2 + 188283*v + 188280 = 0. Calculate v.
-62760, -1
Solve 5*p**5/3 - 1165*p**4/3 - 8045*p**3/3 + 10906465*p**2/3 - 14491760*p + 10859340 = 0 for p.
-87, 1, 3, 158
Suppose -316*i**2/9 - 88172*i/9 - 248 = 0. Calculate i.
-279, -2/79
Factor -l**2 + 45832*l - 525143056.
-(l - 22916)**2
Factor 3*t**4/5 - 2001*t**3 - 80184*t**2/5 - 160464*t/5.
3*t*(t - 3343)*(t + 4)**2/5
Determine h so that -152*h**4 + 7908*h**3 + 7810*h**2 + 1803*h - 53 = 0.
-1/2, 1/38, 53
Solve -19*t**4/7 - 640*t**3 - 7967*t**2/7 - 2570*t/7 + 936/7 = 0 for t.
-234, -1, 4/19
What is w in -2*w**2/11 + 17462*w/11 = 0?
0, 8731
Determine j, given that 2*j**3/9 - 16*j**2/3 - 1382*j/9 + 10556/3 = 0.
-26, 21, 29
Suppose 36*o**4 - 1936*o**3 + 27564*o**2 - 38064*o - 67600 = 0. Calculate o.
-1, 25/9, 26
Find i such that -2*i**2/7 - 220*i - 6128/7 = 0.
-766, -4
Find t, given that -4*t**2 + 3471536*t - 753222637456 = 0.
433942
Determine q, given that q**4/4 + 489*q**3/2 + 8745*q**2/4 + 5819*q + 4845 = 0.
-969, -5, -2
Determine s, given that -2*s**3/13 - 1644*s**2/13 + 32*s/13 + 26304/13 = 0.
-822, -4, 4
Find f, given that -8*f**5/17 + 158*f**4/17 - 72*f**3/17 - 764*f**2/17 - 640*f/17 - 114/17 = 0.
-1, -1/4, 3, 19
Find j such that -2*j**3 - 4102*j**2 + 8218*j + 12318 = 0.
-2053, -1, 3
Suppose -2*a**3/3 + 58*a**2 - 480*a + 936 = 0. Calculate a.
3, 6, 78
Let 4*k**2 + 8448*k - 25380 = 0. What is k?
-2115, 3
Determine f so that -f**3/2 - 727*f**2 + 1455*f/2 = 0.
-1455, 0, 1
Factor a**2/6 - 2797*a/3 + 35188.
(a - 5556)*(a - 38)/6
Let -1271*a**4/5 + 10171*a**3/5 + 1247*a**2/5 - 10171*a/5 + 24/5 = 0. What is a?
-1, 3/1271, 1, 8
Find s such that 150*s**2/7 + 1502*s/7 + 452 = 0.
-7, -226/75
What is d in 5*d**4 - 365*d**3 - 1365*d**2 + 16225*d + 66500 = 0?
-5, 7, 76
Factor -4*g**3 + 40488*g**2 + 405180*g + 1013200.
-4*(g - 10132)*(g + 5)**2
Find u, given that 10410*u**2 - 229025*u + 110 = 0.
1/2082, 22
Factor -2*g**2/11 + 2974*g/11 + 8940/11.
-2*(g - 1490)*(g + 3)/11
What is d in 5*d**2 + 40825*d - 367830 = 0?
-8174, 9
Factor -3*b**2 - 151656*b.
-3*b*(b + 50552)
Let -4*a**2 + 308100*a = 0. What is a?
0, 77025
What is a in -2*a**5 - 206798*a**4 - 5346193574*a**3 - 26727452402*a**2 - 42762104096*a - 21380638472 = 0?
-51697, -2, -1
Suppose 3*f**4 + 7818*f**3 + 375729*f**2 - 383550*f = 0. Calculate f.
-2557, -50, 0, 1
Solve -5*x**5 + 380*x**4 - 8225*x**3 + 36750*x**2 = 0.
0, 6, 35
Suppose 3*a**2 - 6543*a + 168090 = 0. Calculate a.
26, 2155
Suppose -10*a**5/17 + 364*a**4/17 - 14*a**3/17 - 4612*a**2/17 - 2496*a/17 + 1728/17 = 0. What is a?
-3, -1, 2/5, 4, 36
Suppose 22*x**4/9 - 21476*x**3/9 + 46694*x**2/9 + 56504*x/9 - 3896/3 = 0. What is x?
-1, 2/11, 3, 974
What is m in 4*m**2/9 - 3760*m - 67696/9 = 0?
-2, 8462
Factor 8*r**2/7 - 2445182*r/7 - 87328.
2*(r - 305648)*(4*r + 1)/7
Let 4*o**5 + 840*o**4 - 5232*o**3 - 10144*o**2 + 48768*o + 82944 = 0. What is o?
-216, -2, 4, 6
Factor -2*h**3 + 894*h**2 + 2696*h + 1800.
-2*(h - 450)*(h + 1)*(h + 2)
Suppose 3*s**3 - 294*s**2 + 2472*s + 14784 = 0. What is s?
-4, 14, 88
Find k, given that k**3 - 1684*k**2 + 753764*k - 37105376 = 0.
56, 814
Let b**2/5 + 180364*b/5 + 8132793124/5 = 0. Calculate b.
-90182
Factor 5*c**3 - 4995*c**2 + 14940*c.
5*c*(c - 996)*(c - 3)
Suppose 4*j**4/7 - 7424*j**3/7 + 3183072*j**2/7 + 242824192*j/7 + 4279253056/7 = 0. What is j?
-34, 962
Suppose -8*k**4/11 - 1966*k**3/11 + 524*k**2/11 + 7864*k/11 - 1968/11 = 0. Calculate k.
-246, -2, 1/4, 2
Factor x**3/5 + 13743*x**2/5 + 96158*x/5 + 82416/5.
(x + 1)*(x + 6)*(x + 13736)/5
Let 338*k**3 - 7618*k**2/5 + 6198*k/5 - 54 = 0. What is k?
3/65, 1, 45/13
What is n in 2*n**2 + 183483*n/4 + 68805/4 = 0?
-22935, -3/8
Find q such that -q**4 + 61*q**3 - 895*q**2 - 957*q = 0.
-1, 0, 29, 33
Let -5*u**5/2 + 100*u**4 + 3695*u**3/2 + 2495*u**2 - 10920*u + 6480 = 0. Calculate u.
-12, -4, 1, 54
Suppose 2*i**4 - 65*i**3 + 291*i**2 - 448*i + 220 = 0. Calculate i.
1, 2, 55/2
Factor -n**2 - 27192*n - 184851216.
-(n + 13596)**2
Factor 2*z**3 - 50*z**2 - 2154*z + 55242.
2*(z - 31)*(z - 27)*(z + 33)
Factor -n**2/5 + 494*n/5 - 1344.
-(n - 480)*(n - 14)/5
Let 4*d**5 - 284*d**4 + 4272*d**3 + 14864*d**2 + 10304*d = 0. What is d?
-2, -1, 0, 28, 46
Let -b**4 - 555*b**3 + 13174*b**2 - 69360*b = 0. What is b?
-578, 0, 8, 15
Let -3*z**5 - 321*z**4 - 11340*z**3 - 128304*z**2 + 139968*z = 0. What is z?
-36, 0, 1
Solve -2*h**5 + 3674*h**4 - 1685406*h**3 - 1762642*h**2 + 33782440*h = 0 for h.
-5, 0, 4, 919
Factor -5*m**2 - 2840*m + 37765.
-5*(m - 13)*(m + 581)
Factor 2*v**5/3 + 5980*v**4 + 40194554*v**3/3 - 53664520*v**2 + 161065352*v/3.
2*v*(v - 2)**2*(v + 4487)**2/3
Factor g**3/2 + 13*g**2/2 - 452*g + 874.
(g - 23)*(g - 2)*(g + 38)/2
Factor -2*a**2/5 + 42574*a/5 + 42576/5.
-2*(a - 21288)*(a + 1)/5
Find h such that -h**3 + 49565*h**2 - 613800400*h - 9218161500 = 0.
-15, 24790
Find w, given that 56*w**2 - 5156*w + 368 = 0.
1/14, 92
Factor 3*a**3/7 - 135*a**2 - 549*a + 4785/7.
3*(a - 319)*(a - 1)*(a + 5)/7
Suppose -a**4/3 + 1280*a**3/3 - 2974*a**2 + 14008*a/3 - 6365/3 = 0. Calculate a.
1, 5, 1273
Determine q, given that -686*q**3 - 2038*q**2 + 2804*q - 80 = 0.
-4, 10/343, 1
Factor w**3/6 + 257*w**2/6 - 652*w/3 + 262.
(w - 3)*(w - 2)*(w + 262)/6
Factor 2*y**2 + 8980*y + 10080050.
2*(y + 2245)**2
Factor -d**2/10 + 501*d/10 + 2036/5.
-(d - 509)*(d + 8)/10
Let -3*u**3 - 273*u**2 + 164775*u + 21163701 = 0. Calculate u.
-169, 247
Factor -4*p**3 + 220*p**2 - 2648*p + 2432.
-4*(p - 38)*(p - 16)*(p - 1)
Factor -d**3/3 + 15573*d**2 - 15572*d - 93436/3.
-(d - 46718)*(d - 2)*(d + 1)/3
Find t, given that 2*t**4 - 2200*t**3 + 2196*t**2 + 2200*t - 2198 = 0.
-1, 1, 1099
Factor 5*o**2 - 8297130*o - 8297135.
5*(o - 1659427)*(o + 1)
Let 3*y**5/2 - 6*y**4 - 171*y**3/2 + 258*y**2 + 336*y = 0. Calculate y.
-7, -1, 0, 4, 8
Find s such that 3*s**4 + 3204*s**3 + 15906*s**2 - 41436*s + 22323 = 0.
-1063, -7, 1
Factor -2*f**3 + 471452*f**2 - 27782430610*f - 111137265800.
-2*(f - 117865)**2*(f + 4)
What is c in -c**2/2 + 59*c/2 + 160 = 0?
-5, 64
Factor p**3 + 72652*p**2 - p - 72652.
(p - 1)*(p + 1)*(p + 72652)
Determine y, given that -3*y**4/2 + 15633*y**3 - 81401007*y**2/2 - 162989658*y - 163052214 = 0.
-2, 5213
Suppose 2*m**2 + 736*m/3 + 488/3 = 0. What is m?
-122, -2/3
Let 392*h**4/19 - 7784*h**3/19 - 9350*h**2/19 - 64*h - 42/19 = 0. Calculate h.
-1, -1/14, 21
Suppose 4*o**3 - 3684*o**2 - 7396*o + 11076 = 0. What is o?
-3, 1, 923
Factor 2*g**3/5 - 55118*g**2/5.
2*g**2*(g - 27559)/5
Determine o, given that -o**5/2 + 74*o**4 - 2550*o**3 - 5400*o**2 = 0.
-2, 0, 60, 90
Facto