1 = 0. Calculate f.
-67, -1, 2, 26
Factor 2*t**2/5 - 7176*t/5 - 24514.
2*(t - 3605)*(t + 17)/5
Factor -l**5 - 35*l**4 - 459*l**3 - 2673*l**2 - 5832*l.
-l*(l + 8)*(l + 9)**3
Let 98*t**4 + 145082*t**3 - 665048*t**2 + 344488*t - 47520 = 0. Calculate t.
-1485, 2/7, 4
Let i**2/4 + 262295*i + 68798667025 = 0. What is i?
-524590
Factor 3*w**2 - 375*w + 5508.
3*(w - 108)*(w - 17)
Factor c**3/4 - 21*c**2/4 + 63*c/2 - 44.
(c - 11)*(c - 8)*(c - 2)/4
Determine a so that 2*a**2/7 - 7768*a = 0.
0, 27188
Solve -3*t**3 - 1532994*t**2 + 3*t + 1532994 = 0 for t.
-510998, -1, 1
Find z, given that 2*z**4 + 20956*z**3 - 272696*z**2 + 734468*z + 1028118 = 0.
-10491, -1, 7
Solve -14*f**2/13 - 290*f/13 - 1496/13 = 0 for f.
-11, -68/7
What is m in -3*m**3/7 + 27708*m**2/7 + 55425*m/7 + 27714/7 = 0?
-1, 9238
Let 4*d**2 - 3448360*d + 743199168100 = 0. Calculate d.
431045
Determine x, given that x**3/3 + 23648*x**2/3 + 378176*x/3 + 1512448/3 = 0.
-23632, -8
Factor -20*g**2 - 5834995*g + 1458750.
-5*(g + 291750)*(4*g - 1)
Factor 3*o**2 + 1349634*o + 151792661163.
3*(o + 224939)**2
What is c in -2*c**2/15 - 100556*c/15 + 100562/5 = 0?
-50281, 3
What is n in -1030*n**5/7 + 2942*n**4/7 - 378*n**3 + 586*n**2/7 + 148*n/7 = 0?
-74/515, 0, 1
Factor 2*g**2 - 1576*g + 18624.
2*(g - 776)*(g - 12)
Factor 3*k**2/4 - 264757*k/4 + 22063.
(k - 88252)*(3*k - 1)/4
Factor -3*p**2/5 - 558051*p/5.
-3*p*(p + 186017)/5
Factor i**4 - 104*i**3 - 1865*i**2 - 6600*i.
i*(i - 120)*(i + 5)*(i + 11)
Let -4*c**2 + 21824*c - 29767936 = 0. What is c?
2728
Factor -3*y**3/7 + 186*y**2/7 - 1737*y/7 + 2754/7.
-3*(y - 51)*(y - 9)*(y - 2)/7
Factor t**4/9 - 467*t**3/9 - 688*t**2 - 2556*t - 1920.
(t - 480)*(t + 1)*(t + 6)**2/9
Suppose 12*w**3 + 467996*w**2 + 4562844000*w - 1521000000 = 0. What is w?
-19500, 1/3
What is p in -p**3/2 + 7517*p**2/2 + 835945*p/2 + 23071675/2 = 0?
-55, 7627
Factor -2*d**2/11 + 1095980*d/11 + 2191968/11.
-2*(d - 547992)*(d + 2)/11
Let 7350*q**5 + 127330*q**4 - 93304*q**3 - 67584*q**2 + 28800*q - 2592 = 0. Calculate q.
-18, -2/3, 6/35, 1
Solve -25*p**2 - 770*p + 795 = 0.
-159/5, 1
Factor 4*u**2 + 452*u - 75440.
4*(u - 92)*(u + 205)
Find b, given that 3*b**2 + 669195*b - 2007612 = 0.
-223068, 3
Determine b so that 27*b**4 - 6906*b**3 + 12192*b**2 = 0.
0, 16/9, 254
Factor -5*b**4 + 47485*b**3 - 151382595*b**2 + 165315844015*b - 10556308170380.
-5*(b - 3143)**3*(b - 68)
Find a such that 5*a**5 - 34955*a**4 + 60369720*a**3 + 2534262480*a**2 = 0.
-41, 0, 3516
Solve 3*f**2/2 + 10495*f/2 - 19261 = 0.
-3502, 11/3
Suppose 5*b**3/2 - 15*b**2/2 - 675*b = 0. What is b?
-15, 0, 18
Let 4*u**4 + 936*u**3 + 1844*u**2 - 2784*u = 0. What is u?
-232, -3, 0, 1
Solve -2*c**4 + 3244*c**3 - 1295834*c**2 - 15902088*c - 48059208 = 0.
-6, 817
Factor -m**3/5 - 73*m**2 - 362*m/5 + 728/5.
-(m - 1)*(m + 2)*(m + 364)/5
Find b such that -3*b**5/2 + 183*b**4 - 1854*b**3 + 2457*b**2 + 8991*b/2 = 0.
-1, 0, 3, 9, 111
Find p such that 5*p**3 + 58960*p**2 + 173814080*p = 0.
-5896, 0
Factor -5*p**2 - 1740085*p - 1740080.
-5*(p + 1)*(p + 348016)
Determine z so that -z**5/2 + 7*z**4/2 + 459*z**3 + 5863*z**2 + 43771*z/2 + 32955/2 = 0.
-13, -5, -1, 39
Suppose 4*v**4 - 2968*v**3 - 226636*v**2 - 3489008*v + 23479440 = 0. What is v?
-38, 5, 813
Let 2*z**2/5 + 12476*z/5 = 0. Calculate z.
-6238, 0
Factor -g**2/4 - 55*g - 11571/4.
-(g + 87)*(g + 133)/4
Determine l so that -2*l**4/13 - 846*l**3/13 - 4986*l**2/13 + 7534*l/13 + 11676/13 = 0.
-417, -7, -1, 2
Factor 70*t**4 + 895*t**3 + 3690*t**2 + 6260*t + 3800.
5*(t + 2)**3*(14*t + 95)
Determine p so that 5*p**2 - 240*p - 833525 = 0.
-385, 433
Factor -y**2/3 + 566*y/3 + 189.
-(y - 567)*(y + 1)/3
Factor -b**3 + 1345*b**2 - 217800*b + 9436500.
-(b - 1165)*(b - 90)**2
Find s, given that -3*s**3 + 2172*s**2 + 6543*s = 0.
-3, 0, 727
Factor -2*l**2/3 + 23630*l/3 + 15756.
-2*(l - 11817)*(l + 2)/3
Let -34*o**3/3 + 3430*o**2/3 - 67528*o/3 - 2664 = 0. What is o?
-2/17, 27, 74
Factor b**3 - 366*b**2 + 31464*b.
b*(b - 228)*(b - 138)
Factor 2*q**3/7 + 606*q**2/7 + 37392*q/7 - 1344800/7.
2*(q - 25)*(q + 164)**2/7
Suppose -5*t**4 + 1110*t**3 - 58220*t**2 - 1110*t + 58225 = 0. Calculate t.
-1, 1, 85, 137
Factor -3*u**2/4 - 1173*u/4 + 1773/2.
-3*(u - 3)*(u + 394)/4
Solve -3*w**5/4 - 3065*w**4 + 7156*w**3 + 2041*w**2/2 - 28621*w/4 + 4089/2 = 0 for w.
-4089, -1, 1/3, 1, 2
Let -2*m**4/3 + 10*m**3 - 86*m**2/3 - 10*m + 88/3 = 0. Calculate m.
-1, 1, 4, 11
Factor 5*p**2 + 1046110*p - 1046115.
5*(p - 1)*(p + 209223)
Factor z**2 + 919*z - 78842.
(z - 79)*(z + 998)
Suppose 4*t**4/9 + 1436*t**3/9 + 41744*t**2/3 - 656656*t/9 + 529984/9 = 0. Calculate t.
-182, 1, 4
Factor r**2/5 + 5261*r/5 + 47268/5.
(r + 9)*(r + 5252)/5
Suppose -455*s**5 + 3630*s**4 + 29655*s**3 + 650*s**2 = 0. What is s?
-5, -2/91, 0, 13
Factor -5*i**4 - 1580*i**3 - 136820*i**2 - 1896000*i - 7200000.
-5*(i + 8)**2*(i + 150)**2
Suppose -26*w**4/3 - 28*w**3/3 + 234*w**2 + 720*w + 504 = 0. What is w?
-3, -14/13, 6
Factor -2*j**2/11 - 32280*j/11 - 32278/11.
-2*(j + 1)*(j + 16139)/11
Find o, given that 25*o**5/6 - 164995*o**4/6 - 858541*o**3/6 - 720101*o**2/6 + 171736*o - 39630 = 0.
-3, 2/5, 6605
Factor 2*z**3 + 678*z**2 - 21344*z.
2*z*(z - 29)*(z + 368)
Factor -2*b**2/5 - 10708*b/5 + 2142.
-2*(b - 1)*(b + 5355)/5
Factor z**3/2 + 267*z**2/2 - 1092*z + 2200.
(z - 4)**2*(z + 275)/2
Let -22*s**4/9 + 15146*s**3 - 12392*s**2/9 = 0. Calculate s.
0, 1/11, 6196
Solve -3*x**2 - 4056*x/5 + 6528/5 = 0.
-272, 8/5
Factor -2*x**4/11 - 1068*x**3/11 + 73904*x**2/11.
-2*x**2*(x - 62)*(x + 596)/11
Suppose 21*n**2/8 - 927*n/4 - 405 = 0. Calculate n.
-12/7, 90
Let -c**2/7 + 80004*c/7 - 1600160004/7 = 0. Calculate c.
40002
Solve 3*t**3 - 27*t**2 - 2451*t + 12555 = 0 for t.
-27, 5, 31
Suppose -3*w**4 - 82692*w**3 - 165375*w**2 - 82686*w = 0. Calculate w.
-27562, -1, 0
Determine h, given that -h**4/3 - 2569*h**3/6 + 45521*h**2/6 - 31891*h/3 + 3472 = 0.
-1302, 1/2, 1, 16
Factor 4*o**2/3 + 616*o/3 - 1956.
4*(o - 9)*(o + 163)/3
Factor -r**3/4 + 9319*r**2/2 - 18637*r/4.
-r*(r - 18637)*(r - 1)/4
Factor -u**2/8 + 179*u/2 + 7997/8.
-(u - 727)*(u + 11)/8
Factor 2*a**3 + 250*a**2 + 7136*a + 6888.
2*(a + 1)*(a + 42)*(a + 82)
Determine i, given that -4*i**3 + 20348*i**2 - 304320*i = 0.
0, 15, 5072
Determine n so that -5*n**2 + 136220*n - 927794420 = 0.
13622
What is d in -d**5/3 - 137*d**4 - 10981*d**3 + 1913327*d**2/3 - 6859552*d - 7508172 = 0?
-226, -1, 21
Determine k, given that -5*k**5 - 70*k**4 - 325*k**3 - 620*k**2 - 420*k = 0.
-7, -3, -2, 0
Factor -m**2 + 13883*m + 584850.
-(m - 13925)*(m + 42)
Factor -2*f**3/7 - 6414*f**2/7 - 63940*f/7.
-2*f*(f + 10)*(f + 3197)/7
Suppose 3*n**2 - 25440*n + 53932800 = 0. Calculate n.
4240
Let 764*d**5 + 8412*d**4 + 32176*d**3 + 49232*d**2 + 24960*d + 256 = 0. What is d?
-4, -2, -1, -2/191
Factor 3*q**5 + 150*q**4 + 432*q**3 + 426*q**2 + 141*q.
3*q*(q + 1)**3*(q + 47)
Determine z, given that -4*z**5 + 1632*z**4 + 19976*z**3 + 77040*z**2 + 100700*z + 42000 = 0.
-5, -1, 420
Suppose -2*v**5/5 - 366*v**4/5 - 1990*v**3 - 43626*v**2/5 - 66656*v/5 - 32616/5 = 0. Calculate v.
-151, -27, -2, -1
Solve -c**3 + 324*c**2 + 4719*c + 4394 = 0 for c.
-13, -1, 338
Suppose 25*o**5 + 10835*o**4 + 36630*o**3 + 34420*o**2 + 8600*o = 0. What is o?
-430, -2, -1, -2/5, 0
Factor -f**3/3 + 308*f**2/3 - 27661*f/3 + 193210.
-(f - 139)**2*(f - 30)/3
Factor -10*u**2 - 1275*u + 640.
-5*(u + 128)*(2*u - 1)
Find x such that -2*x**2/7 - 2708*x/7 + 80214/7 = 0.
-1383, 29
Let 3*a**2 - 2243124*a + 419300439948 = 0. What is a?
373854
Factor -3*b**3 - 759*b**2 + 3147*b + 16191.
-3*(b - 7)*(b + 3)*(b + 257)
What is k in 3*k**4/5 - 144*k**3 - 8799*k**2/5 + 129996*k/5 - 24096 = 0?
-20, 1, 8, 251
Factor u**4 + 1220*u**3 + 370878*u**2 - 745420*u + 373321.
(u - 1)**2*(u + 611)**2
Let 8*n**2/7 - 86*n/7 - 1422/7 = 0. Calculate n.
-9, 79/4
Suppose -2*g**5 + 158*g**4/3 - 52*g**3/3 = 0. Calculate g.
0, 1/3, 26
Let -5*k**2/4 + 1705*k/2 + 171315/4 = 0. What is k?
-47, 729
Solve 2*h**5/19 + 296*h**4/19 - 4472*h**3/19 + 10624*h**2/19 + 41472*h/19 = 0.
-162, -2, 0, 8
Factor -1285*c**2 + 105380*c - 820.
-5*(c - 82)*(257*c - 2)
Find k such that -k**3 - 10080*k**2 - 30233*k - 20154 = 0.
-10077, -2, -1
Factor 3*y**3 - 111*y**2 - 8631*y - 104517.
3*(y - 79)*(y + 21)**2
Let -3*a**5/2 + 105*a**4 - 4503