800*y + 49125.
-5*(y - 1965)*(y + 5)
Factor -16*f**3 - 24152*f**2 + 12079*f - 1510.
-(f + 1510)*(4*f - 1)**2
Determine a so that a**4/4 + 3103*a**3/2 + 2405600*a**2 - 4817408*a = 0.
-3104, 0, 2
Factor -i**2 + 47*i - 550.
-(i - 25)*(i - 22)
Find x such that -2*x**5 + 9682*x**4 - 11703102*x**3 - 35206186*x**2 + 11703104*x + 35196504 = 0.
-3, -1, 1, 2422
Suppose -2*m**2/3 + 11408*m/3 - 37960 = 0. What is m?
10, 5694
Determine n so that -4*n**4/5 + 3136*n**3/5 - 3128*n**2/5 - 3136*n/5 + 3132/5 = 0.
-1, 1, 783
What is w in 3*w**3 - 348*w**2 + 9735*w + 20886 = 0?
-2, 59
Factor 2*l**3/9 - 1127302*l**2/3 + 476553111050*l/3 + 1429662715058/9.
2*(l - 845477)**2*(l + 1)/9
Factor 3*n**4 - 126*n**3 + 1053*n**2 - 930*n.
3*n*(n - 31)*(n - 10)*(n - 1)
Factor 4*k**2 + 224404*k - 1122120.
4*(k - 5)*(k + 56106)
Suppose -4*p**5 - 8*p**4 + 2544*p**3 - 35640*p**2 + 177876*p - 279936 = 0. Calculate p.
-32, 3, 9
Suppose -3*q**5 - 207*q**4 - 2118*q**3 - 3510*q**2 + 14217*q - 8379 = 0. Calculate q.
-57, -7, 1
Factor -i**3/5 - 30221*i**2/5 - 120871*i/5 - 90651/5.
-(i + 1)*(i + 3)*(i + 30217)/5
Factor f**3/3 - 2188*f**2/3 - 4*f/3 + 8752/3.
(f - 2188)*(f - 2)*(f + 2)/3
Factor -4*y**2 - 61012*y.
-4*y*(y + 15253)
Let -3*i**4/2 - 822*i**3 - 11385*i**2/2 - 6468*i + 12984 = 0. What is i?
-541, -4, 1
Let -2*d**2 + 6206*d - 606404 = 0. Calculate d.
101, 3002
Factor -4*s**3 + 804*s**2 - 39996*s - 40804.
-4*(s - 101)**2*(s + 1)
Let -2*c**2/3 + 573572*c/3 - 41123104898/3 = 0. What is c?
143393
Let -10*a**4/11 - 74306*a**3/11 - 10806*a**2 - 14854*a/11 + 29716/11 = 0. Calculate a.
-7429, -1, 2/5
Suppose -b**3/8 + 29*b**2/4 + 7095*b/8 + 33759/2 = 0. Calculate b.
-33, 124
Factor m**4/3 + 7960*m**3/3 + 7958*m**2 + 23872*m/3 + 7957/3.
(m + 1)**3*(m + 7957)/3
Factor -2*d**2/15 - 10472*d/15 - 10466/5.
-2*(d + 3)*(d + 5233)/15
Find v, given that v**2 - 68600*v + 1176490000 = 0.
34300
Solve -2*x**4/7 - 382*x**3/7 + 458*x**2/7 + 14278*x/7 + 1920 = 0 for x.
-192, -5, -1, 7
Determine z so that 4*z**3 - 16*z**2 - 512*z + 3072 = 0.
-12, 8
Find u such that 3*u**5/2 - 333*u**4/8 + 2499*u**3/8 - 1449*u**2/8 - 27675*u/8 + 26325/4 = 0.
-13/4, 3, 10, 15
Factor 10*f**4/9 + 73714*f**3/9 - 49156*f**2/3.
2*f**2*(f - 2)*(5*f + 36867)/9
Let 32*s**5/13 + 62096*s**4/13 + 30448130*s**3/13 + 313760262*s**2/13 + 419363910*s/13 + 150858450/13 = 0. Calculate s.
-965, -9, -3/4
Determine j, given that j**2/5 + 150022*j/5 + 5626650121/5 = 0.
-75011
Determine y, given that 2*y**3 - 818*y**2 - 7202*y + 22251410 = 0.
-145, 277
Factor 3*k**2/8 + 72771*k/2 + 1765206147/2.
3*(k + 48514)**2/8
What is q in -2*q**3/11 + 18*q**2 - 3856*q/11 - 24480/11 = 0?
-5, 36, 68
Factor -2*b**3 + 528*b**2 - 16342*b - 16872.
-2*(b - 228)*(b - 37)*(b + 1)
Let 2*t**3 + 1056*t**2 - 1058*t = 0. What is t?
-529, 0, 1
Suppose 2*a**2 + 14554*a + 72720 = 0. Calculate a.
-7272, -5
Factor 2*s**3/3 - 214768*s**2/3 + 5765661728*s/3.
2*s*(s - 53692)**2/3
Solve 5*o**2 - 4860*o + 62335 = 0 for o.
13, 959
Determine d, given that 2*d**3/3 + 160870*d**2/3 + 1078271392*d - 1078325016 = 0.
-40218, 1
Solve -y**4/9 - 149*y**3/9 - 1604*y**2/3 - 4724*y - 12528 = 0 for y.
-108, -29, -6
Suppose -3*p**4/8 - 267*p**3/4 - 16191*p**2/8 - 29811*p/2 + 76893/2 = 0. What is p?
-142, -19, 2
Suppose 2*u**5/11 + 300*u**4/11 + 10636*u**3/11 - 45896*u**2/11 + 5334*u - 2156 = 0. Calculate u.
-77, 1, 2
What is y in -y**3 - 318*y**2 - 10211*y - 86598 = 0?
-283, -18, -17
Let -4*w**3/5 - 232*w**2/5 + 2624*w/5 - 6528/5 = 0. Calculate w.
-68, 4, 6
Find g such that -3*g**2 - 18096*g - 27288768 = 0.
-3016
Suppose 2*b**3/11 + 1268*b**2/11 - 48440*b + 4061904 = 0. Calculate b.
-942, 154
Suppose -32*h**4/5 + 30224*h**3/5 - 7932738*h**2/5 + 375956336*h/5 - 4951319072/5 = 0. What is h?
28, 1777/4
Solve 3*f**4 + 78*f**3 - 873*f**2 + 2460*f - 2100 = 0 for f.
-35, 2, 5
What is i in -16*i**5 + 2864*i**4 + 42444*i**3 + 151456*i**2 + 121060*i + 27792 = 0?
-9, -4, -1/2, 193
Let -41*x**5 + 2536*x**4 + 372*x**3 = 0. Calculate x.
-6/41, 0, 62
Find t such that -2*t**2/7 + 70*t - 4248/7 = 0.
9, 236
Factor -m**5 - 5551*m**4 - 44368*m**3 - 133064*m**2 - 177392*m - 88688.
-(m + 2)**4*(m + 5543)
Suppose z**3/4 + 18*z**2 + 324*z = 0. What is z?
-36, 0
Solve -10*q**4/19 - 616*q**3/19 - 906*q**2/19 + 3276*q/19 + 2160/19 = 0.
-60, -3, -3/5, 2
Find s, given that -5*s**5 + 25*s**4 + 1145*s**3 + 3755*s**2 - 3660*s - 17100 = 0.
-10, -3, 2, 19
Determine j so that 5*j**2 + 271280*j + 3679641920 = 0.
-27128
Let -4*h**4 + 391*h**3/2 + 13121*h**2/2 + 7153*h + 792 = 0. Calculate h.
-22, -1, -1/8, 72
Factor -16*m**2 + 767156*m - 191788.
-4*(m - 47947)*(4*m - 1)
Factor 6*v**2/11 + 1859802*v/11 + 1859796/11.
6*(v + 1)*(v + 309966)/11
Factor a**2/8 - 439*a/8 - 504.
(a - 448)*(a + 9)/8
Factor -2*b**2/7 - 492*b/7 - 2758.
-2*(b + 49)*(b + 197)/7
Solve 3*v**3/7 + 1725*v**2/7 + 223458*v/7 + 440040/7 = 0 for v.
-380, -193, -2
Factor -h**3 + 15929*h**2 + 47794*h + 31864.
-(h - 15932)*(h + 1)*(h + 2)
Factor k**4/2 + 1604*k**3 + 3205*k**2/2 - 3207*k.
k*(k - 1)*(k + 2)*(k + 3207)/2
Factor -4*u**3 - 432*u**2 - 5460*u - 18424.
-4*(u + 7)**2*(u + 94)
Find f, given that -2*f**3/3 + 494*f**2 - 38656*f/3 + 23800 = 0.
2, 25, 714
Factor 23*c**5/8 - 95*c**4/8 + 75*c**3/4 - 55*c**2/4 + 35*c/8 - 3/8.
(c - 1)**4*(23*c - 3)/8
Determine m, given that -4*m**2 + 3218872*m - 647571059524 = 0.
402359
Factor 4*y**5 + 20*y**4 - 24*y**3 - 152*y**2 - 172*y - 60.
4*(y - 3)*(y + 1)**3*(y + 5)
Factor -5*r**3 + 460*r**2 - 5775*r.
-5*r*(r - 77)*(r - 15)
Factor -u**2/4 - 17943*u/4 - 17941/2.
-(u + 2)*(u + 17941)/4
Let -c**4/3 + 52*c**3/3 - 101*c**2/3 + 50*c/3 = 0. Calculate c.
0, 1, 50
Find v, given that -4*v**2 + 36*v + 280 = 0.
-5, 14
Factor -n**3/4 - 32341*n**2/2 - 261565904*n - 2614042240.
-(n + 10)*(n + 32336)**2/4
What is c in -c**2/6 - 21541*c/6 + 28732 = 0?
-21549, 8
Suppose n**2 - 1989*n + 1988 = 0. Calculate n.
1, 1988
Determine d, given that -20*d**3 + 695*d**2 - 460*d - 1700 = 0.
-5/4, 2, 34
Find i such that 2*i**5 - 6960*i**4 + 6103746*i**3 - 84508156*i**2 + 360893784*i - 432473616 = 0.
2, 6, 1733
Determine j so that -4*j**5 - 480*j**4 - 14364*j**3 + 4320*j**2 + 129600*j = 0.
-60, -3, 0, 3
Factor -2*j**5/3 - 10094*j**4/3 + 10096*j**3/3.
-2*j**3*(j - 1)*(j + 5048)/3
Let -g**2/3 + 4390*g/3 + 17576/3 = 0. What is g?
-4, 4394
Determine k so that 2*k**3 - 180*k**2 + 2992*k = 0.
0, 22, 68
Find g, given that -g**5/5 + 6177*g**4/5 - 12712262*g**3/5 + 1740727192*g**2 + 5239997280*g + 3496726400 = 0.
-2, -1, 2060
Find y such that -15*y**3/7 + 129*y**2/7 + 1503*y/7 - 135 = 0.
-7, 3/5, 15
Factor 5*l**5 + 8000*l**4 + 31950*l**3 + 47900*l**2 + 31925*l + 7980.
5*(l + 1)**4*(l + 1596)
Solve -2*o**3 + 11892*o**2/7 + 6806*o/7 - 5100/7 = 0 for o.
-1, 3/7, 850
Factor -4*n**4 + 8*n**3 + 192*n**2.
-4*n**2*(n - 8)*(n + 6)
Factor i**2 - 395*i + 786.
(i - 393)*(i - 2)
Let 11*s**4 + 195*s**3 - 68*s**2 - 252*s = 0. Calculate s.
-18, -1, 0, 14/11
Solve -2*b**5 + 14908*b**4 - 36931440*b**3 + 30131230528*b**2 + 680921097472*b = 0 for b.
-22, 0, 2492
Factor h**2/6 - 3367*h/6 - 1123.
(h - 3369)*(h + 2)/6
Factor -2*h**2/3 + 428*h/3 - 4272.
-2*(h - 178)*(h - 36)/3
Let -2*r**2 + 99822*r + 99824 = 0. What is r?
-1, 49912
Factor 2*m**3 + 922*m**2 + 84990*m - 85914.
2*(m - 1)*(m + 129)*(m + 333)
Suppose -s**3/6 + 289*s**2/6 + 3902*s/3 + 7222/3 = 0. Calculate s.
-23, -2, 314
Factor 3600*f**2 - 64680*f + 290521.
(60*f - 539)**2
Factor 6*n**2/11 - 136320*n/11 + 136314/11.
6*(n - 22719)*(n - 1)/11
Suppose s**2 - 44565*s - 133704 = 0. What is s?
-3, 44568
Find g such that 10*g**2/13 + 1782*g/13 + 2124/13 = 0.
-177, -6/5
Factor -88*v**2/3 - 55082*v/3 + 1252.
-2*(v + 626)*(44*v - 3)/3
Factor 3*m**2/5 - 17871*m/5 - 35754/5.
3*(m - 5959)*(m + 2)/5
Factor d**4 - 53*d**3 - 3*d**2 + 157*d + 106.
(d - 53)*(d - 2)*(d + 1)**2
Factor 5*x**2 + 18776*x - 52612.
(x + 3758)*(5*x - 14)
Solve -w**4/3 - 106*w**3 - 1519*w**2 - 3608*w/3 + 2828 = 0 for w.
-303, -14, -2, 1
What is u in 45*u**3 + 4395*u**2 + 2915*u + 485 = 0?
-97, -1/3
Factor -2*b**5 + 1598*b**4 - 98934*b**3 + 1596474*b**2.
-2*b**2*(b - 733)*(b - 33)**2
Determine a, given that 3*a**5 - 57*a**4 + 402*a**3 - 1284*a**2 + 1800*a - 864 = 0.
1, 2, 4, 6
Find x such that -2*x**5 - 32*x**4 - 104*x**3 - 96*x**2 = 0.
-12, -2, 0
Factor -3*i**2 + 2577*i - 9