*(k - 250)/5
Find c, given that 551*c**2/5 + 269*c/5 + 6 = 0.
-6/19, -5/29
Factor 5*a**4 + 18025*a**3.
5*a**3*(a + 3605)
Suppose 196*j**3/3 + 5404*j**2 + 9120*j + 3888 = 0. Calculate j.
-81, -6/7
Let 182274*d**2/7 + 182276*d/7 + 2/7 = 0. Calculate d.
-1, -1/91137
Factor 3*f**2 + 270*f - 1728.
3*(f - 6)*(f + 96)
Determine b, given that 5*b**4 - 1495*b**3 + 107500*b**2 + 705280*b - 9703680 = 0.
-12, 7, 152
Let 4*g**2 - 992*g - 9252 = 0. What is g?
-9, 257
Determine y, given that 16*y**5 + 16996*y**4 + 4583080*y**3 + 36963844*y**2 + 80053408*y + 17774656 = 0.
-527, -4, -1/4
Factor 3*s**3/4 - 267*s**2 - 2727*s - 6588.
3*(s - 366)*(s + 4)*(s + 6)/4
Let -i**3/3 - 2705*i**2/3 + 8128*i/3 + 10832/3 = 0. What is i?
-2708, -1, 4
Factor 5*g**3 - 3285*g**2 + 3280*g.
5*g*(g - 656)*(g - 1)
Suppose 5*a**5 - 202735*a**4 + 1216290*a**3 - 2432510*a**2 + 2027065*a - 608115 = 0. What is a?
1, 3, 40541
Factor -q**3/4 - 53*q**2/2 - 2515*q/4 + 1311/2.
-(q - 1)*(q + 38)*(q + 69)/4
Factor 3*k**3 - 16317*k**2 - 32643*k - 16323.
3*(k - 5441)*(k + 1)**2
Factor 4*z**2 + 656*z + 24192.
4*(z + 56)*(z + 108)
Factor -g**2 + 15896*g - 63170704.
-(g - 7948)**2
What is d in -3*d**4 + 1206*d**3 - 63663*d**2 - 414864*d - 638820 = 0?
-3, 70, 338
Find l such that -168*l**5 - 177*l**4 + 495*l**3 + 195*l**2 - 327*l - 18 = 0.
-2, -1, -3/56, 1
What is f in 5*f**3 + 1210*f**2 - 235605*f - 476010 = 0?
-369, -2, 129
Factor -2*r**2/5 - 784772*r/5 - 76983386498/5.
-2*(r + 196193)**2/5
Factor s**3/2 - 61*s**2 + 3353*s/2 + 1738.
(s - 79)*(s - 44)*(s + 1)/2
Determine b, given that -b**2/6 + 1973*b/6 + 7924/3 = 0.
-8, 1981
Suppose -o**2/3 - 62*o + 13552/3 = 0. What is o?
-242, 56
Solve i**5/3 + 5923*i**4/3 + 8814799*i**3/3 + 131263993*i**2/3 + 550034800*i/3 + 427579684/3 = 0 for i.
-2954, -7, -1
Factor -3*s**3/2 + 62211*s**2/2 - 124413*s/2 + 62205/2.
-3*(s - 20735)*(s - 1)**2/2
Let 2*k**5/3 + 442*k**4/3 + 8346*k**3 + 64334*k**2/3 - 374960*k/3 + 95048 = 0. What is k?
-109, -6, 1, 2
Let -67*y**5/2 + 32494*y**4 - 62983*y**3/2 - 969*y**2 = 0. What is y?
-2/67, 0, 1, 969
Suppose 2*c**4/3 - 3350*c**3/3 - 8*c**2/3 + 13400*c/3 = 0. Calculate c.
-2, 0, 2, 1675
Solve 3*z**3 - 618*z**2 - 22587*z - 62118 = 0 for z.
-29, -3, 238
Let -5*w**5/2 + 167*w**4/3 - 2059*w**3/6 + 2366*w**2/3 - 466*w - 336 = 0. Calculate w.
-2/5, 8/3, 3, 14
Solve 204*t**4 - 404*t**3 - 620*t**2 - 12*t = 0.
-1, -1/51, 0, 3
Suppose -3*i**2 - 2604*i + 224439 = 0. Calculate i.
-947, 79
Factor p**3 + 83893*p**2 + 1759718576*p + 8796495680.
(p + 5)*(p + 41944)**2
Factor 2*z**2 - 1990*z + 63492.
2*(z - 962)*(z - 33)
Let -2*m**3/9 + 10894*m**2/9 - 5050352*m/3 + 95155672 = 0. What is m?
59, 2694
Let -28*f**4 + 1028*f**3 + 6008*f**2 + 8688*f + 2016 = 0. Calculate f.
-3, -2, -2/7, 42
Factor 3*u**4 + 261267*u**3 + 7584668091*u**2 + 73401888865305*u + 146773441148334.
3*(u + 2)*(u + 29029)**3
Determine r, given that 3*r**4 - 17334*r**3 + 25177251*r**2 - 399514032*r + 1593630912 = 0.
8, 2881
Factor -5*b**3 - 1830*b**2 + 100875*b + 62230460.
-5*(b - 172)*(b + 269)**2
Factor -f**4/2 + 675*f**3 - 2697*f**2/2 + 674*f.
-f*(f - 1348)*(f - 1)**2/2
Factor -l**3/3 - 6286*l**2/3 - 275132*l/3 - 3021128/3.
-(l + 22)**2*(l + 6242)/3
Factor 2*g**4 + 94*g**3 + 1320*g**2 + 2816*g - 38912.
2*(g - 4)*(g + 16)**2*(g + 19)
Suppose 3*u**4 + 432*u**3 + 4887*u**2 + 17970*u + 19800 = 0. Calculate u.
-132, -5, -2
Suppose -4*y**2 - 1452*y + 86320 = 0. Calculate y.
-415, 52
Factor -4*v**3 + 96*v**2 + 280140*v + 26407400.
-4*(v - 314)*(v + 145)**2
Factor -2*v**2 + 13322*v.
-2*v*(v - 6661)
Factor -r**4 - 27468*r**3 - 188595286*r**2 + 377272980*r - 188650225.
-(r - 1)**2*(r + 13735)**2
Factor 2*j**2/9 - 530488*j/9 + 35177189768/9.
2*(j - 132622)**2/9
Factor -5*b**2 - 310*b - 1425.
-5*(b + 5)*(b + 57)
Let 2*n**2/9 + 795776*n/9 + 265258/3 = 0. Calculate n.
-397887, -1
Determine v, given that 9*v**4 - 5462*v**3/5 + 64628*v**2/5 + 41848*v/5 + 6048/5 = 0.
-2/5, -2/9, 14, 108
Factor -2*x**2/17 - 10832*x/17 + 348672/17.
-2*(x - 32)*(x + 5448)/17
Let -3*z**2 - 4869*z + 143724 = 0. What is z?
-1652, 29
Suppose -4*q**3/3 - 920*q**2/3 - 4736*q/3 + 143360/3 = 0. Calculate q.
-224, -16, 10
Determine x so that -2*x**3/5 - 504*x**2/5 + 518*x/5 + 3036/5 = 0.
-253, -2, 3
What is v in 15*v**4 + 410*v**3 - 27285*v**2 + 43960*v + 17700 = 0?
-59, -1/3, 2, 30
Determine u so that -u**2 + 3011*u - 6018 = 0.
2, 3009
Factor 3*q**2 - 1818*q + 106920.
3*(q - 540)*(q - 66)
Factor 435*n**2/4 - 143983*n/4 - 331/2.
(n - 331)*(435*n + 2)/4
Solve -v**4/5 - 104*v**3/5 - 81*v**2 - 502*v/5 - 40 = 0.
-100, -2, -1
Factor -5*m**2 - 339400*m - 1696875.
-5*(m + 5)*(m + 67875)
Factor -5*c**4/7 - 12*c**3/7 - 4*c**2/7.
-c**2*(c + 2)*(5*c + 2)/7
Find m, given that 3*m**5 + 6*m**4 - 102*m**3 - 276*m**2 + 99*m + 270 = 0.
-5, -3, -1, 1, 6
What is f in -3*f**2 - 22668*f - 22665 = 0?
-7555, -1
Determine j, given that 5*j**4 + 50*j**3 + 40*j**2 - 50*j - 45 = 0.
-9, -1, 1
Determine i so that -4*i**2 - 9120*i - 189756 = 0.
-2259, -21
Determine k, given that k**2/3 + 341*k/3 - 1534 = 0.
-354, 13
Find p, given that 3*p**5 - 603*p**4 + 12354*p**3 - 98610*p**2 + 351675*p - 469875 = 0.
5, 7, 179
Factor 2*v**3 - 818*v**2 + 89438*v - 1164270.
2*(v - 197)**2*(v - 15)
Let 9*x**4 + 2613*x**3 - 31647*x**2 + 19059*x + 9966 = 0. What is x?
-302, -1/3, 1, 11
Find b such that -2*b**5/5 - 3764*b**4/5 + 83656*b**3/5 - 228364*b**2/5 + 220826*b/5 - 72352/5 = 0.
-1904, 1, 19
Find c such that -2*c**3/3 + 89540*c**2/3 - 29846*c = 0.
0, 1, 44769
What is c in -4*c**2 + 13480*c - 53856 = 0?
4, 3366
Suppose 4*c**5 + 116*c**4 - 672*c**3 + 304*c**2 + 1088*c = 0. Calculate c.
-34, -1, 0, 2, 4
Factor -3*f**2 - 2256*f - 13428.
-3*(f + 6)*(f + 746)
Let g**4/5 + 142*g**3/5 + 109*g**2 - 976*g/5 - 276 = 0. Calculate g.
-138, -5, -1, 2
What is d in d**3 + 2059*d**2 + 8224*d + 8220 = 0?
-2055, -2
Determine q, given that -q**5/6 + 41*q**4 - 2627*q**3/6 + 4967*q**2/3 - 2512*q + 3760/3 = 0.
1, 2, 4, 235
Solve -2*w**2/3 + 13078*w/3 + 26164/3 = 0.
-2, 6541
Find h such that 1357205*h**4 + 2176738*h**3 - 3520392*h**2 - 13538*h - 13 = 0.
-13/5, -1/521, 1
Suppose -190*n**4 - 2685*n**3 - 9660*n**2 - 8065*n - 900 = 0. What is n?
-9, -4, -1, -5/38
Solve 2*x**2/3 - 27096*x + 162568/3 = 0.
2, 40642
Factor 5*p**4 + 6120*p**3 + 1860440*p**2 - 7515360*p + 7539920.
5*(p - 2)**2*(p + 614)**2
Factor 2*c**3/13 + 30*c**2/13 - 108*c/13.
2*c*(c - 3)*(c + 18)/13
Let -l**2/8 - 152*l = 0. Calculate l.
-1216, 0
Factor -m**3/4 + 5175*m**2/4 - 1576050*m - 256490500.
-(m - 2660)**2*(m + 145)/4
Find t, given that 5*t**5/4 - 135*t**4/4 + 375*t**3/4 + 8915*t**2/4 - 4515*t - 6615 = 0.
-7, -1, 3, 14, 18
Find j such that -4*j**4/11 - 102*j**3/11 + 1262*j**2/11 + 3648*j/11 + 136 = 0.
-34, -2, -1/2, 11
Factor -2*f**2/3 - 173140*f - 11241547350.
-2*(f + 129855)**2/3
Let -142129*x**2 - 2343432*x - 9659664 = 0. What is x?
-3108/377
Factor -2*f**3/7 + 940*f**2/7 + 5696*f/7 + 1088.
-2*(f - 476)*(f + 2)*(f + 4)/7
Let 5*s**4/4 - 1845*s**3/4 - 26885*s**2/4 + 28725*s/4 = 0. What is s?
-15, 0, 1, 383
Suppose -3*u**5 - 864*u**4 - 56763*u**3 + 790806*u**2 - 1505700*u - 6615000 = 0. Calculate u.
-150, -2, 7
Factor 9*l**4/2 - 579480*l**3 + 18655199639*l**2 + 12436992920*l + 4145685769/2.
(l - 64387)**2*(3*l + 1)**2/2
Suppose 12*k**5 - 178*k**4 - 1884*k**3 + 6930*k**2 = 0. Calculate k.
-55/6, 0, 3, 21
Suppose 4*r**5 + 2404*r**4 + 330572*r**3 - 2404*r**2 - 330576*r = 0. Calculate r.
-388, -213, -1, 0, 1
Find s, given that 3*s**3/4 - 141*s**2/2 + 825*s/4 - 273/2 = 0.
1, 2, 91
Find a, given that 2*a**2/3 + 42*a - 10340/3 = 0.
-110, 47
Solve -2*t**5 + 104*t**4 + 128*t**3 - 1148*t**2 - 990*t + 1908 = 0.
-3, -2, 1, 3, 53
Suppose -4*h**2 - 20472*h + 721420 = 0. Calculate h.
-5153, 35
Solve -16*k**3 - 6648*k**2 - 16545*k - 10325 = 0.
-413, -5/4
What is x in -4*x**3 + 12144*x**2 - 145260*x + 326592 = 0?
3, 9, 3024
Determine n so that n**5 + 676*n**4 + 112820*n**3 - 502912*n**2 - 6740160*n + 33292800 = 0.
-340, -8, 6
Find w such that 2*w**3/5 - 82*w**2/5 - 74*w + 90 = 0.
-5, 1, 45
Let -5*l**4 - 2785*l**3 + 14010*l**2 - 22460*l + 11240 = 0. Calculate l.
-562, 1, 2
Find s, given that 5*s**4 + 4268780*s**3 + 911132671940*s**2 + 3644479462560*s + 3644462387520 = 0.
-426876, -2
Factor -3*b**3 + 339*b**2 + 2490*b + 3600.
-3*(b - 120