, 166
Suppose 89478036512*m**3 - 89478882576*m**2 + 846066*m - 2 = 0. Calculate m.
1/211516, 1
Factor -2*z**2/3 - 8902*z.
-2*z*(z + 13353)/3
Solve h**4/4 + 17*h**3/2 + 147*h**2/4 - 767*h/2 + 338 = 0 for h.
-26, -13, 1, 4
Find q, given that -14*q**5/3 + 330*q**4 + 10154*q**3/3 + 19970*q**2/3 - 7700*q - 8000/3 = 0.
-5, -2/7, 1, 80
Suppose 2*c**4/5 + 191*c**3 + 2377*c**2/5 + 190*c = 0. Calculate c.
-475, -2, -1/2, 0
Solve -4*f**3 - 141392*f**2 + 282796*f - 141400 = 0.
-35350, 1
Factor 21632*q**2/3 - 37024*q/3 + 15842/3.
2*(104*q - 89)**2/3
Find g, given that 13261250*g**3/19 + 132581600*g**2/19 - 308982*g/19 + 180/19 = 0.
-10, 3/2575
Factor -4*w**3 + 11380*w**2 + 483252*w + 5092668.
-4*(w - 2887)*(w + 21)**2
Find z, given that 4*z**3/7 + 19160*z**2/7 + 3264000*z - 230400000/7 = 0.
-2400, 10
Factor 751538*z**3/3 - 17287826*z**2/3 + 56398*z/3 - 46/3.
2*(z - 23)*(613*z - 1)**2/3
Factor w**3/4 + 387*w**2 + 3084*w + 6160.
(w + 4)**2*(w + 1540)/4
Determine i so that -3*i**3 + 324*i**2 + 18345*i + 83250 = 0.
-37, -5, 150
Suppose 1029*i**3 + 4053*i**2 + 2295*i - 1809 = 0. Calculate i.
-3, -67/49, 3/7
What is b in -b**3/4 + 51*b**2/4 + 855*b/2 - 1898 = 0?
-26, 4, 73
Factor 3*h**5 - 207*h**4 + 1845*h**3 - 4425*h**2.
3*h**2*(h - 59)*(h - 5)**2
Factor 27094*c**2 + c.
c*(27094*c + 1)
Factor a**4/8 - 839*a**3/4 + 1675*a**2/2 - 837*a.
a*(a - 1674)*(a - 2)**2/8
Determine u, given that -u**2/4 + 3939*u/2 + 23643/4 = 0.
-3, 7881
Factor -z**3 - 6828*z**2 + 75205*z - 164136.
-(z - 8)*(z - 3)*(z + 6839)
Factor l**2 - 1713*l - 10314.
(l - 1719)*(l + 6)
Let 2*d**4 + 2626*d**3 + 2624*d**2 = 0. What is d?
-1312, -1, 0
Factor x**2/7 + 231*x + 20852/7.
(x + 13)*(x + 1604)/7
Determine w, given that -w**2 + 2421*w + 38992 = 0.
-16, 2437
Determine u so that 133*u**4/6 + 271*u**3/3 + 286*u**2/3 + 20*u/3 = 0.
-2, -10/133, 0
Let -5*f**2 + 975*f + 74930 = 0. Calculate f.
-59, 254
Factor -3*o**2 - 252*o - 1824.
-3*(o + 8)*(o + 76)
Factor 80*y**2 - 6892*y + 1032.
4*(y - 86)*(20*y - 3)
Determine p, given that 60*p**5 + 9712*p**4 + 382464*p**3 - 858048*p**2 + 107584*p = 0.
-82, 0, 2/15, 2
Solve -3*x**2 + 28602*x + 143085 = 0 for x.
-5, 9539
Determine n, given that 2*n**3/7 - 10862*n**2/7 = 0.
0, 5431
Determine d, given that -d**3/3 - 56*d**2 + 343*d/3 + 170 = 0.
-170, -1, 3
Suppose -5*z**4 + 450*z**3 - 2965*z**2 - 109020*z = 0. Calculate z.
-12, 0, 23, 79
Suppose 2*j**5/7 + 34*j**4/7 - 166*j**3 - 106*j**2/7 + 3400*j/7 + 2312/7 = 0. Calculate j.
-34, -1, 2, 17
Find k, given that -k**4 - 181*k**3 + 3927*k**2 - 18567*k + 25326 = 0.
-201, 3, 14
Factor l**4/2 + 518*l**3 - 5205*l**2/2.
l**2*(l - 5)*(l + 1041)/2
Solve -u**5/5 - 21*u**4/5 + 361*u**3/5 + 5901*u**2/5 - 7056*u = 0 for u.
-21, 0, 5, 16
What is o in 3*o**5 - 42*o**4 + 27*o**3 + 168*o**2 - 156*o = 0?
-2, 0, 1, 2, 13
Determine a so that -5*a**4 + 2120*a**3 - 6315*a**2 - 20*a + 8420 = 0.
-1, 2, 421
Find x, given that 5*x**5 - 75*x**4 - 100*x**3 + 300*x**2 + 320*x = 0.
-2, -1, 0, 2, 16
Determine i, given that i**4/3 - 62*i**3 - 929*i**2 - 2600*i/3 = 0.
-13, -1, 0, 200
Factor 2*d**3/7 - 332*d**2/7 + 11570*d/7 + 190104/7.
2*(d - 89)**2*(d + 12)/7
Factor -100*x**4 + 14620*x**3 + 41524*x**2 + 29204*x.
-4*x*(x - 149)*(5*x + 7)**2
Factor 136*o**3 + 140*o**2 + 4*o.
4*o*(o + 1)*(34*o + 1)
Factor 9*s**2/5 - 7881*s/5 + 1050.
3*(s - 875)*(3*s - 2)/5
Determine b, given that -2*b**5 - 734*b**4 - 10022*b**3 - 48994*b**2 - 99040*b - 70600 = 0.
-353, -5, -2
Factor 2*o**3/9 - 4274*o**2/3.
2*o**2*(o - 6411)/9
Factor -4*r**3/5 + 6676*r**2/5 - 2917376*r/5 + 108665744/5.
-4*(r - 814)**2*(r - 41)/5
Factor 4*d**3 + 20*d**2 - 2464*d + 9280.
4*(d - 20)*(d - 4)*(d + 29)
Let -3*f**4/5 - 2352*f**3/5 - 431796*f**2/5 + 2297952*f - 52881984/5 = 0. Calculate f.
-404, 6, 18
Factor 5*z**2 - 2435*z + 9660.
5*(z - 483)*(z - 4)
Let -z**2/7 + 513*z/7 - 1610 = 0. What is z?
23, 490
Let g**2/4 + 1645*g/4 + 1643/2 = 0. What is g?
-1643, -2
Suppose 5*k**4 - 2760*k**3 + 10935*k**2 + 13700*k = 0. Calculate k.
-1, 0, 5, 548
Factor -4*z**4 + 484*z**3 - 956*z**2 + 476*z.
-4*z*(z - 119)*(z - 1)**2
Determine p, given that -3*p**3/7 + 37542*p**2/7 - 1794957*p/7 - 261786 = 0.
-1, 49, 12466
Factor 2*x**5/13 - 188*x**4/13 + 1680*x**3/13.
2*x**3*(x - 84)*(x - 10)/13
Solve -2*h**4 + 396*h**3 + 5838*h**2 + 20776*h = 0.
-7, 0, 212
Let -14*x**2/9 - 1188*x - 2032 = 0. Calculate x.
-762, -12/7
Factor -i**4 - 4591*i**3 - 13764*i**2.
-i**2*(i + 3)*(i + 4588)
Solve c**2 + 2725*c + 5446 = 0 for c.
-2723, -2
Suppose 2*u**2 + 12136*u + 12134 = 0. What is u?
-6067, -1
Find o, given that -o**3/2 - 319*o**2/2 - 631*o/2 + 951/2 = 0.
-317, -3, 1
Factor -2*q**2/13 - 167814*q/13 - 167812/13.
-2*(q + 1)*(q + 83906)/13
Determine w, given that 39*w**4 - 3436*w**3 - 3119*w**2 + 356*w = 0.
-1, 0, 4/39, 89
Factor -u**2/6 - 349*u/6 + 476.
-(u - 8)*(u + 357)/6
Factor -j**3 - 24*j**2 + 277*j + 1860.
-(j - 12)*(j + 5)*(j + 31)
Let -h**2 - 71317*h - 499170 = 0. What is h?
-71310, -7
Determine l so that 2*l**2/9 + 17170*l/9 - 85900/9 = 0.
-8590, 5
Factor g**2/6 + 10436*g/3 + 54455048/3.
(g + 10436)**2/6
What is j in -2*j**2 - 496*j + 498 = 0?
-249, 1
Solve 2*w**4/11 - 2718*w**3/11 + 108874*w**2/11 - 1050882*w/11 - 1162476/11 = 0 for w.
-1, 21, 1318
Factor -4*w**3 - 976*w**2 + 106604*w - 105624.
-4*(w - 81)*(w - 1)*(w + 326)
Determine s so that -s**5/5 - 6*s**4/5 + 10*s**3 - 12*s**2 - 49*s/5 + 66/5 = 0.
-11, -1, 1, 2, 3
Factor 12*a**2/5 - 6404*a/5 + 29624/5.
4*(a - 529)*(3*a - 14)/5
Factor -x**4 - 87*x**3 - 414*x**2 - 328*x.
-x*(x + 1)*(x + 4)*(x + 82)
Solve -2*u**3 + 928*u**2 + 2*u - 928 = 0.
-1, 1, 464
Let 2*z**3 + 146*z**2 + 412*z - 560 = 0. What is z?
-70, -4, 1
Let 2*d**2 - 80156*d + 80154 = 0. Calculate d.
1, 40077
Factor -5*t**3 - 2365*t**2 - 125030*t + 259560.
-5*(t - 2)*(t + 63)*(t + 412)
Let 3*l**5 - 1386*l**4 + 197979*l**3 - 8228676*l**2 + 15868944*l - 7836864 = 0. Calculate l.
1, 68, 196
Factor -222*r**2/5 + 1598*r + 72/5.
-2*(r - 36)*(111*r + 1)/5
Factor -2*u**2 + 50060*u - 150162.
-2*(u - 25027)*(u - 3)
Suppose -2*c**5 + 127226*c**4 - 2697530444*c**3 + 19058950095496*c**2 + 95351409431696*c + 76289761678528 = 0. Calculate c.
-4, -1, 21206
What is d in d**2 - 27*d + 170 = 0?
10, 17
Suppose 2*s**4/11 - 3330*s**3/11 - 149214*s**2/11 - 2008870*s/11 - 7403388/11 = 0. Calculate s.
-19, -6, 1709
Suppose 2*o**2/7 + 6980*o/7 - 34950/7 = 0. Calculate o.
-3495, 5
Find a such that -a**3/4 + 180605*a**2/4 - 2038657952*a + 2038612801 = 0.
1, 90302
Let 3*x**2 - 36*x - 39 = 0. What is x?
-1, 13
Suppose 2*a**3/5 - 272*a**2/5 - 1114*a/5 - 168 = 0. Calculate a.
-3, -1, 140
Find z, given that 3*z**5 - 57*z**4 - 1026*z**3 + 13800*z**2 + 103200*z + 144000 = 0.
-15, -4, -2, 20
Factor -3*q**2/8 - 314331*q/4 - 32934659187/8.
-3*(q + 104777)**2/8
Factor -3*v**3 + 7476*v**2 - 37287*v - 44766.
-3*(v - 2487)*(v - 6)*(v + 1)
Suppose 2*b**2/13 - 22*b/13 - 304/13 = 0. What is b?
-8, 19
Factor 9477*f**3/2 + 1350*f**2 - 448*f - 128.
(13*f - 4)*(27*f + 8)**2/2
Factor i**5 - 65*i**4 + 1119*i**3 - 3195*i**2 - 35100*i.
i*(i - 39)*(i - 15)**2*(i + 4)
Factor 5*n**3 - 46210*n**2 + 46205*n.
5*n*(n - 9241)*(n - 1)
Factor c**5 + 121*c**4 + 583*c**3 + 339*c**2 - 1044*c.
c*(c - 1)*(c + 3)**2*(c + 116)
Solve h**4/4 - 69*h**3/4 + 281*h**2/4 + 19221*h/4 - 29205/2 = 0 for h.
-15, 3, 22, 59
Find k such that k**4/5 - 584*k**3/5 + 68103*k**2/5 + 5226012*k/5 + 5157324/5 = 0.
-51, -1, 318
Suppose 2*m**5/19 - 128*m**4/19 - 270*m**3/19 + 20*m**2 + 1048*m/19 + 528/19 = 0. What is m?
-2, -1, 2, 66
Determine a so that -2*a**5/13 - 184*a**4/13 - 2918*a**3/13 - 9616*a**2/13 + 70528*a/13 + 373760/13 = 0.
-73, -8, 5
Let -2*s**3 - 8486*s**2 - 8980272*s + 45113760 = 0. Calculate s.
-2124, 5
Factor -2644*w**2 - 132172*w + 1400.
-4*(w + 50)*(661*w - 7)
Factor c**3/4 + 1053*c**2/2 + 277728*c + 553352.
(c + 2)*(c + 1052)**2/4
Suppose 21*s**5/4 - 1509*s**4/2 - 927*s**3/4 + 2274*s**2 - 861*s - 432 = 0. What is s?
-2, -2/7, 1, 144
Suppose -5*z**3 - 10635*z**2 - 5660475*z - 5649845 = 0. Calculate z.
-1063, -1
Suppose -5*c**5 - 1620*c**4 + 6535*c**3 - 8190*c**2 + 3280*c = 0. Calculate c.
-328, 0, 1, 2
Factor t**4 + 445*t**3 + 3948*t**2 + 10480*t + 6976.
(t + 1)*(t + 4)**2*(t + 436)
What is k in -k**2/4 - 16411*k - 269320921 = 0?
-32822
Suppose x**4/10 - 12601*x**3/5 + 1587