5
Factor 4*m**2 - 59068*m - 709392.
4*(m - 14779)*(m + 12)
Solve -v**5/3 + 8*v**4/3 + 508*v**3 - 28442*v**2/3 + 17725*v/3 + 53750 = 0.
-43, -2, 3, 25
Factor 5*t**2 - 11210*t + 6283205.
5*(t - 1121)**2
Solve -4*p**2 + 104*p - 352 = 0.
4, 22
Factor -4*z**2/3 - 1571*z/3 + 6060.
-(z + 404)*(4*z - 45)/3
Determine l, given that -l**5/4 - l**4/4 + 68*l**3 + 644*l**2 + 1856*l + 1280 = 0.
-8, -4, -1, 20
Find y such that -4*y**5 - 4248*y**4 + 8512*y**3 - 8*y**2 - 8508*y + 4256 = 0.
-1064, -1, 1
Determine z so that -22*z**4/3 + 1028*z**3/3 - 4040*z**2 + 55100*z/3 - 87250/3 = 0.
5, 349/11
Factor 45*q**2 + 164420*q - 36540.
5*(q + 3654)*(9*q - 2)
What is x in -3*x**4 + 1539882*x**3 - 197604587703*x**2 + 395204555772*x - 197601507948 = 0?
1, 256646
Find v, given that 4*v**4 + 276552*v**3 + 553084*v**2 - 276552*v - 553088 = 0.
-69136, -2, -1, 1
Solve 4*h**4/3 - 2312*h**3/3 - 120592*h**2/3 + 250400*h/3 = 0.
-50, 0, 2, 626
Suppose 3*y**2 - 2424*y + 484605 = 0. Calculate y.
363, 445
Suppose 5*x**5 - 370*x**4 - 4950*x**3 - 17800*x**2 - 22255*x - 9030 = 0. What is x?
-7, -3, -1, 86
Factor -652*d**3/7 - 795432*d**2/7 + 9760*d/7.
-4*d*(d + 1220)*(163*d - 2)/7
Solve -3*d**5 + 123*d**4 + 279*d**3 - 843*d**2 - 2544*d - 1548 = 0 for d.
-2, -1, 3, 43
Factor 246631467*m**3/4 + 84332167*m**2/4 + 711789*m/4 + 1521/4.
(3*m + 1)*(9067*m + 39)**2/4
Find d, given that 2*d**3/7 - 3596*d**2/7 + 7178*d/7 + 10776/7 = 0.
-1, 3, 1796
Factor l**2/2 - 4272*l + 8543/2.
(l - 8543)*(l - 1)/2
What is s in 439569*s**2 - 678912*s + 262144 = 0?
512/663
Solve 3*b**2 + 1176438*b + 115333863987 = 0 for b.
-196073
Suppose 1208*t**3 - 6052*t**2 - 7188*t + 72 = 0. What is t?
-1, 3/302, 6
Find a such that -5*a**2/2 - 402*a + 19089/2 = 0.
-909/5, 21
Factor -l**2/10 - 22*l/5 + 1216/5.
-(l - 32)*(l + 76)/10
Find s, given that -4100*s**3/7 + 8196*s**2/7 + 143508*s/7 + 20 = 0.
-5, -1/1025, 7
Solve 3*m**2 + 4437540*m + 1640980104300 = 0 for m.
-739590
Factor -g**3 - 4895*g**2 + 14698*g + 19592.
-(g - 4)*(g + 1)*(g + 4898)
Determine u, given that 278*u**3 + 23902*u**2 + 23114*u - 510 = 0.
-85, -1, 3/139
Factor -4*y**3/5 - 332*y**2/5 - 616*y/5 + 2592/5.
-4*(y - 2)*(y + 4)*(y + 81)/5
Solve t**2/6 + 661*t/6 = 0.
-661, 0
Factor 3*q**5 - 19422*q**4 + 116460*q**3 - 232872*q**2 + 155232*q.
3*q*(q - 6468)*(q - 2)**3
Factor 4*r**3/5 + 3472*r**2 + 18852948*r/5 + 37636488/5.
4*(r + 2)*(r + 2169)**2/5
Factor -p**3/6 - 535*p**2/3 + 359*p/2 + 1071.
-(p - 3)*(p + 2)*(p + 1071)/6
Find j, given that j**3/5 - 43*j**2/5 + 583*j/5 - 2541/5 = 0.
11, 21
Determine s so that 2*s**4 - 3028*s**3 - 48824*s**2 - 207920*s - 244800 = 0.
-10, -4, -2, 1530
Find h, given that h**5/5 + 47*h**4 - 3231*h**3/5 - 1651*h**2/5 + 21158*h/5 + 19344/5 = 0.
-248, -2, -1, 3, 13
Find i such that 5*i**5/3 - 595*i**4/3 + 25055*i**3/3 - 433645*i**2/3 + 2594480*i/3 - 2185300/3 = 0.
1, 10, 26, 41
Find q, given that 2*q**4/3 + 9026*q**3/3 + 3393022*q**2 - 10206154*q/3 - 20376196/3 = 0.
-2257, -1, 2
Let 7*y**2/2 - 242*y + 1005/2 = 0. What is y?
15/7, 67
Suppose 3*b**2 + 2004*b - 204660 = 0. Calculate b.
-758, 90
Factor -w**3/4 - 411*w**2/4 - 11459*w/4 - 11049/4.
-(w + 1)*(w + 29)*(w + 381)/4
Factor -o**3/4 - 1397*o**2/4 + 1399*o/2.
-o*(o - 2)*(o + 1399)/4
Solve -4*i**5 + 1200*i**4 - 46340*i**3 - 101160*i**2 + 146304*i = 0 for i.
-3, 0, 1, 48, 254
Determine o so that 2*o**4/19 + 108*o**3/19 - 3554*o**2/19 + 780*o = 0.
-78, 0, 5, 19
Solve -14*s**2 - 170496*s - 48712 = 0.
-12178, -2/7
Suppose 2*y**3/3 + 388*y**2/3 - 1310*y/3 - 2333896/3 = 0. What is y?
-131, 68
Let 2*s**4 + 80*s**3 + 826*s**2 + 1420*s + 672 = 0. What is s?
-24, -14, -1
Factor -y**3 - 3914*y**2 - 3829849*y.
-y*(y + 1957)**2
Suppose g**4/2 - 49744*g**3 + 198970*g**2 - 198968*g = 0. Calculate g.
0, 2, 99484
Let -2*t**3 - 12704*t**2 - 20173952*t = 0. Calculate t.
-3176, 0
Factor -5*l**3 - 1595*l**2 - 98350*l - 96760.
-5*(l + 1)*(l + 82)*(l + 236)
Factor 2*a**2/7 - 4668*a/7 - 4670/7.
2*(a - 2335)*(a + 1)/7
Factor 2*f**2/9 - 1816*f/9 + 392630/9.
2*(f - 553)*(f - 355)/9
Find i such that 7*i**3 + 10935*i**2 + 365226*i + 51952 = 0.
-1528, -34, -1/7
Determine z so that 3*z**2/5 + 3207*z + 128088/5 = 0.
-5337, -8
Factor 767*y**2/5 - 138*y/5.
y*(767*y - 138)/5
Solve 20*w**3 + 17605*w**2 - 30855*w + 13230 = 0.
-882, 3/4, 1
Solve 4*h**2 - 173536*h - 347088 = 0 for h.
-2, 43386
Suppose 3*l**3 - 241107*l**2 - 482235*l + 723339 = 0. What is l?
-3, 1, 80371
Find a such that -2*a**5/11 + 80*a**4/11 - 522*a**3/11 - 5612*a**2/11 - 8464*a/11 = 0.
-4, -2, 0, 23
Determine i so that -65*i**4 + 95*i**3 + 1530*i**2 + 1620*i - 1080 = 0.
-3, -2, 6/13, 6
Find r, given that 3*r**2/4 - 1711683*r + 976619564163 = 0.
1141122
Suppose h**2/3 + 2333*h/3 - 11690/3 = 0. Calculate h.
-2338, 5
Let -q**4/8 - 663*q**3/2 - 10597*q**2/8 - 6621*q/4 - 662 = 0. What is q?
-2648, -2, -1
Factor -2*x**2/19 - 110918*x/19 - 221828/19.
-2*(x + 2)*(x + 55457)/19
Suppose -q**5 + 21707*q**4 - 117765891*q**3 - 353579915*q**2 + 471324100*q = 0. What is q?
-4, 0, 1, 10855
Find p such that -3*p**4 + 33*p**3 + 609*p**2 + 2439*p + 2970 = 0.
-5, -3, 22
Factor -s**3/2 - 282*s**2 - 1678*s - 2232.
-(s + 2)*(s + 4)*(s + 558)/2
Solve -w**3/2 + 35*w**2/6 + 376*w + 374/3 = 0.
-22, -1/3, 34
Factor 4*o**3 + 140*o**2 - 1752*o - 24192.
4*(o - 16)*(o + 9)*(o + 42)
Suppose 2*b**4/13 + 100*b**3/13 + 456*b**2/13 + 252*b/13 - 810/13 = 0. What is b?
-45, -3, 1
Factor -3*y**2/2 - 12177*y/2 + 12183.
-3*(y - 2)*(y + 4061)/2
Determine i, given that 75*i**5/7 - 2085*i**4/7 - 12624*i**3 + 259176*i**2/7 - 164400*i/7 + 30000/7 = 0.
-25, 2/5, 2, 50
Let -5*g**4 - 115*g**3 + 4990*g**2 + 88800*g = 0. What is g?
-37, -16, 0, 30
Factor -d**2/4 - 178243*d/2 - 31770567049/4.
-(d + 178243)**2/4
Suppose 3*c**3/7 + 176415*c**2/7 - 705696*c/7 + 705708/7 = 0. What is c?
-58809, 2
Solve 14*n**3 + 1446*n**2 - 8616*n + 11336 = 0 for n.
-109, 2, 26/7
Factor z**3/2 - 113*z**2/2 - 721*z/2 + 833/2.
(z - 119)*(z - 1)*(z + 7)/2
Determine l, given that 4*l**4 + 572*l**3 + 10276*l**2 + 53988*l + 44280 = 0.
-123, -10, -9, -1
Factor 3*x**2/2 - 331215*x/2 - 165609.
3*(x - 110406)*(x + 1)/2
Find b such that -3*b**4 - 2196*b**3 + 52095*b**2 = 0.
-755, 0, 23
Suppose i**3 + i**2 - 242*i - 480 = 0. What is i?
-15, -2, 16
What is a in 2*a**5/23 - 116516*a**4/23 + 1696880762*a**3/23 + 3394111080*a**2/23 + 1697113800*a/23 = 0?
-1, 0, 29130
Factor 2*n**2/5 - 1834*n/5 + 1824.
2*(n - 912)*(n - 5)/5
Find s, given that s**3/2 + 43*s**2/2 + 547*s/2 + 1785/2 = 0.
-21, -17, -5
Solve -i**2/3 + 119*i/3 + 242/3 = 0 for i.
-2, 121
Determine t, given that -3*t**4/5 + 16752*t**3/5 - 23402526*t**2/5 + 46687848*t/5 + 70107129/5 = 0.
-1, 3, 2791
Determine b so that -3*b**5 + 14433*b**4 - 43278*b**3 + 28848*b**2 = 0.
0, 1, 2, 4808
Factor r**2/8 + 3131*r/8 + 15605/4.
(r + 10)*(r + 3121)/8
Determine g, given that 2*g**3 + 2*g**2 - 3052*g - 23520 = 0.
-35, -8, 42
Solve 4*q**4/7 - 38*q**3 + 3702*q**2/7 - 1654*q/7 - 1786/7 = 0.
-1/2, 1, 19, 47
Factor -f**3/3 + 185*f**2/3 - 3422*f/3 - 3608/3.
-(f - 164)*(f - 22)*(f + 1)/3
Suppose 4*d**2 - 716*d + 712 = 0. What is d?
1, 178
Factor -2*w**3/3 + 136*w**2/3 - 110*w/3 - 536.
-2*(w - 67)*(w - 4)*(w + 3)/3
Find h such that h**4/2 - 2165*h**3 + 21633*h**2/2 - 17302*h + 8650 = 0.
1, 2, 4325
Factor -h**3/3 - 572*h**2 - 5141*h/3 - 1142.
-(h + 1)*(h + 2)*(h + 1713)/3
Determine m so that m**2/8 - 155*m/4 - 78 = 0.
-2, 312
Factor -4*i**4/5 + 228*i**2/5 + 224*i/5.
-4*i*(i - 8)*(i + 1)*(i + 7)/5
Find o such that 3*o**3 + 543*o**2 - 6018*o - 55008 = 0.
-191, -6, 16
Suppose 2*i**4/3 - 2*i**3/3 - 170*i**2 + 4250*i/3 - 9500/3 = 0. What is i?
-19, 5, 10
Factor 5*l**2 - 1352170*l - 1352175.
5*(l - 270435)*(l + 1)
Suppose 243*s**4/5 - 12987*s**3/5 + 30522*s**2/5 - 11652*s/5 + 1224/5 = 0. Calculate s.
2/9, 2, 51
Determine q so that -2*q**3/11 + 27338*q**2/11 + 27340*q/11 = 0.
-1, 0, 13670
Solve 5*t**3 + 44935*t**2 + 89835*t - 134775 = 0.
-8985, -3, 1
Factor 2*o**2 + 362612*o - 362614.
2*(o - 1)*(o + 181307)
Solve r**5 - 10*r**4 - 76*r**3 + 10*r**2 + 75*r = 0 for r.
-5, -1, 0, 1, 15
Find z, given that -72*z**5 - 19011*z**4 - 38520*z**3 - 1572*z**2 = 0.
-262, -2, -1/24, 0
Factor i**4 - 65163*i**3 + 1061456391*i**2 + 3184955667*i.
i*(i - 32583)**2*(i + 3)
What is i in 3*i**4 + 75279*i**3 + 225816*i**2 + 150540*