a**2 - 51*a/2 - 15 = 0. Calculate a.
-5, -2, -1, 1
Determine c so that -c**3/2 - 30*c**2 + 62*c = 0.
-62, 0, 2
Factor -8*k**2/5 + 308*k/5 - 1224/5.
-4*(k - 34)*(2*k - 9)/5
Suppose -3*v**3 + 1692*v**2 + 8523*v + 6828 = 0. Calculate v.
-4, -1, 569
Suppose -3*y**5 + 423*y**4 - 2457*y**3 + 3657*y**2 - 1620*y = 0. Calculate y.
0, 1, 4, 135
Let -3*q**4/4 + 9*q**3/4 - 9*q**2/4 + 3*q/4 = 0. Calculate q.
0, 1
Find d, given that -d**2/4 + 84*d + 337/4 = 0.
-1, 337
Solve 5*c**2 + 370*c + 2925 = 0.
-65, -9
Find a such that -4*a**2/7 + 288*a/7 - 324 = 0.
9, 63
Let 2*d**4 - 14*d**2 + 12*d = 0. Calculate d.
-3, 0, 1, 2
Factor -g**4 - 1403*g**3 - 491398*g**2 + 495612*g + 985608.
-(g - 2)*(g + 1)*(g + 702)**2
Factor 52678564*u**2 - 14516*u + 1.
(7258*u - 1)**2
Solve -4*b**3 - 1148*b**2 - 85164*b - 397620 = 0.
-141, -5
Factor 21*i**4 + 90*i**3 - 696*i**2.
3*i**2*(i - 4)*(7*i + 58)
Find s, given that s**3/6 - 3*s**2/2 + 11*s/6 + 7/2 = 0.
-1, 3, 7
Suppose -3*a**2/5 + 273*a/5 + 3708/5 = 0. What is a?
-12, 103
Determine a so that -9*a**5 + 12*a**4 + 48*a**3 - 48*a**2 - 48*a = 0.
-2, -2/3, 0, 2
Suppose 2*f**4 - 86*f**3 - 106*f**2 + 774*f + 792 = 0. Calculate f.
-3, -1, 3, 44
Find o, given that -2*o**5 - 176*o**4/5 - 538*o**3/5 + 2044*o**2/5 - 344*o + 80 = 0.
-10, 2/5, 1
Factor -2*l**4/15 + 64*l**3/15 - 12*l**2 + 176*l/15 - 58/15.
-2*(l - 29)*(l - 1)**3/15
Suppose -4*l**4 + 24*l**3 - 88*l - 60 = 0. Calculate l.
-1, 3, 5
Factor -12*x**5 - 3*x**4.
-3*x**4*(4*x + 1)
Find p, given that p**3/5 + 1479*p**2/5 - 296*p = 0.
-1480, 0, 1
Factor 2*j**3 + 62*j**2 + 116*j.
2*j*(j + 2)*(j + 29)
Determine k, given that -5*k**2/4 + 200*k - 795/4 = 0.
1, 159
Find i, given that -2*i**2 - 82*i - 816 = 0.
-24, -17
Suppose -v**4 + 23*v**3 - 142*v**2 + 120*v = 0. Calculate v.
0, 1, 10, 12
Factor 5*n**2/7 + 2936*n/7 + 587/7.
(n + 587)*(5*n + 1)/7
Determine k, given that -6*k**3 + 87*k**2 - 39*k - 42 = 0.
-1/2, 1, 14
Factor -6*z**2/11 - 70*z/11 - 100/11.
-2*(z + 10)*(3*z + 5)/11
Determine y, given that -y**3/5 - 171*y**2/5 - 9747*y/5 - 185193/5 = 0.
-57
Solve -2*t**2/13 + 7944*t/13 = 0.
0, 3972
What is r in -2*r**5/5 + 8*r**4/5 + 38*r**3/5 + 28*r**2/5 = 0?
-2, -1, 0, 7
Suppose 4*v**5 - 256*v**4/5 + 768*v**3/5 - 776*v**2/5 + 172*v/5 + 72/5 = 0. What is v?
-1/5, 1, 2, 9
What is k in -7*k**5/2 - 36*k**4 - 95*k**3 + 125*k/2 = 0?
-5, -1, 0, 5/7
Let 5*q**4 + 135*q**3 - 145*q**2 - 135*q + 140 = 0. Calculate q.
-28, -1, 1
Factor -5*i**4 + 180*i**3 - 1935*i**2 + 5600*i - 3840.
-5*(i - 16)**2*(i - 3)*(i - 1)
Factor 2*l**3/5 + 8*l**2/5 - 278*l/5 - 572/5.
2*(l - 11)*(l + 2)*(l + 13)/5
Let v**4 - 177*v**3 - 178*v**2 = 0. Calculate v.
-1, 0, 178
Factor 4*v**4 - 8*v**3 - 60*v**2.
4*v**2*(v - 5)*(v + 3)
Factor -f**5/2 - 51*f**4/2 + 271*f**3/2 - 497*f**2/2 + 195*f - 56.
-(f - 2)*(f - 1)**3*(f + 56)/2
Factor -2*s**4/17 - 78*s**3/17 - 76*s**2/17.
-2*s**2*(s + 1)*(s + 38)/17
Let 3*x**5/2 - 105*x**4 + 2376*x**3 - 15552*x**2 - 41472*x = 0. Calculate x.
-2, 0, 24
Let -p**2/3 - 32*p + 97/3 = 0. Calculate p.
-97, 1
Factor 2*o**2/11 - 28*o/11 + 98/11.
2*(o - 7)**2/11
Let 2*m**2/15 + 14*m/3 + 68/15 = 0. Calculate m.
-34, -1
Suppose 9*c**5/2 + 66*c**4 + 3*c**3/2 - 594*c**2 - 378*c = 0. Calculate c.
-14, -3, -2/3, 0, 3
Factor -2*r**4 - 6*r**3.
-2*r**3*(r + 3)
Find l, given that -l**3/6 + l**2 + 17*l/2 - 140/3 = 0.
-7, 5, 8
Solve 5*w**5 - 40*w**4 + 90*w**3 - 135*w = 0 for w.
-1, 0, 3
Let h**4/4 + 15*h**3/4 + 39*h**2/4 + 37*h/4 + 3 = 0. What is h?
-12, -1
Factor -3*g**2/5 - 22926*g/5 - 43800123/5.
-3*(g + 3821)**2/5
Solve 99*f**5 - 247*f**4 + 203*f**3 - 61*f**2 + 6*f = 0 for f.
0, 2/9, 3/11, 1
Determine p so that 15*p**4/2 + 159*p**3/2 - 441*p**2/2 + 345*p/2 - 39 = 0.
-13, 2/5, 1
Suppose t**5 - 74*t**4 - 2*t**3 + 148*t**2 + t - 74 = 0. Calculate t.
-1, 1, 74
Suppose x**3/2 - 26*x**2/3 + 17*x/6 = 0. What is x?
0, 1/3, 17
Factor -4*c**2 + 8*c.
-4*c*(c - 2)
Factor 5*b**2 + 140*b - 465.
5*(b - 3)*(b + 31)
Let -2*s**2/9 - 146*s/9 - 16 = 0. What is s?
-72, -1
Suppose n**2/6 + 169*n/6 + 167/3 = 0. What is n?
-167, -2
Factor 2*g**4/7 - 4*g**3/7 - 2*g**2/7 + 4*g/7.
2*g*(g - 2)*(g - 1)*(g + 1)/7
What is l in -2*l**3/5 + 436*l**2/5 - 866*l/5 + 432/5 = 0?
1, 216
Find r such that -5*r**3 + 4545*r**2 + 4560*r - 9100 = 0.
-2, 1, 910
What is b in 2*b**2 - 906*b - 1820 = 0?
-2, 455
Factor -4*q**2 + 12524*q.
-4*q*(q - 3131)
Factor g**2/3 - 194*g/3 + 315.
(g - 189)*(g - 5)/3
Let 3*u**5 + 78*u**4 + 519*u**3 + 1056*u**2 + 612*u = 0. Calculate u.
-17, -6, -2, -1, 0
Let -20*z**4 - 175*z**3 + 1085*z**2 - 260*z = 0. Calculate z.
-13, 0, 1/4, 4
Factor a**4/8 + 237*a**3/4 + 9420*a**2 + 2045867*a/4 + 11609679/8.
(a + 3)*(a + 157)**3/8
Suppose -1281*o**2 - 429*o - 18 = 0. What is o?
-2/7, -3/61
Factor -2*p**5 + 8*p**4 + 24*p**3 + 4*p**2 - 22*p - 12.
-2*(p - 6)*(p - 1)*(p + 1)**3
Factor s**2 + 118*s + 3481.
(s + 59)**2
Solve 2*r**5/11 - 68*r**4/11 - 2*r**3/11 + 68*r**2/11 = 0.
-1, 0, 1, 34
Factor -5*a**3/3 - 85*a**2/3 + 2330*a/3 - 2240/3.
-5*(a - 14)*(a - 1)*(a + 32)/3
Let -i**3/5 + 266*i**2/5 = 0. Calculate i.
0, 266
Solve -2*s**5 - 52*s**4 + 1926*s**3 + 4000*s**2 + 2024*s = 0.
-46, -1, 0, 22
Factor -d**2/6 + 11*d/6 + 17.
-(d - 17)*(d + 6)/6
Let 24*o**2 - 44*o - 84 = 0. What is o?
-7/6, 3
Solve 5*o**2 - 10280*o + 5283920 = 0.
1028
Let -4*f**5 + 13*f**4 - 11*f**3 + 2*f**2 = 0. What is f?
0, 1/4, 1, 2
Factor 27*u**2/7 + 79*u/7 - 6/7.
(u + 3)*(27*u - 2)/7
Factor -5*q**5 + 5*q**4 + 30*q**3 + 10*q**2 - 25*q - 15.
-5*(q - 3)*(q - 1)*(q + 1)**3
Find f such that 3*f**2/2 + 42*f + 294 = 0.
-14
Factor 4*o**2 - 36.
4*(o - 3)*(o + 3)
Suppose 5*g**2 - 120*g - 2660 = 0. What is g?
-14, 38
Suppose 2*v**2 + 343*v - 172 = 0. Calculate v.
-172, 1/2
Solve -2*k**3 + 760*k**2 + 3064*k + 3072 = 0 for k.
-2, 384
Factor -3*z**2 - 41946*z - 146622243.
-3*(z + 6991)**2
Factor p**3 + 7*p**2 - 56*p + 48.
(p - 4)*(p - 1)*(p + 12)
Factor 4*l**2 - 36*l.
4*l*(l - 9)
Suppose 14*w**4/15 - 40*w**3/3 + 56*w**2/15 = 0. Calculate w.
0, 2/7, 14
Find b, given that b**2/4 + 31*b/4 + 29/2 = 0.
-29, -2
Factor -3*t**4 - 3*t**3 + 9*t**2 + 15*t + 6.
-3*(t - 2)*(t + 1)**3
Factor -u**3/2 + 13*u**2/2 + 20*u - 350.
-(u - 10)**2*(u + 7)/2
Factor -d**4 + 5*d**3 - 7*d**2 + 3*d.
-d*(d - 3)*(d - 1)**2
What is m in -2*m**5/3 + 98*m**4/3 - 94*m**3 + 278*m**2/3 - 92*m/3 = 0?
0, 1, 46
Factor -x**4/8 - 17*x**3/4 + 35*x**2/8.
-x**2*(x - 1)*(x + 35)/8
What is q in -125*q**3 - 225*q**2 - 120*q - 20 = 0?
-1, -2/5
Determine n so that 44*n**2 + 84*n - 128 = 0.
-32/11, 1
Solve -3*g**5 - 6*g**4 + 6*g**3 + 12*g**2 - 3*g - 6 = 0 for g.
-2, -1, 1
Factor -2*u**2 - 32*u - 30.
-2*(u + 1)*(u + 15)
Determine w so that -w**4/6 + 25*w**3/6 + 181*w**2/6 + 167*w/6 - 62 = 0.
-4, -3, 1, 31
Factor 15*x**2 + 7656*x - 4599.
3*(x + 511)*(5*x - 3)
Factor 3*p**3 + 15*p**2 + 6*p - 24.
3*(p - 1)*(p + 2)*(p + 4)
Find a such that -14*a**4/5 - 598*a**3/5 + 872*a**2/5 + 3496*a/5 - 1056/5 = 0.
-44, -2, 2/7, 3
What is t in 3*t**4 - 12*t**3 - 21*t**2 + 66*t + 72 = 0?
-2, -1, 3, 4
Factor -2*k**2/3 + 6766*k/3 + 13540/3.
-2*(k - 3385)*(k + 2)/3
Suppose -2*w**5 + 480*w**4/7 - 5414*w**3/7 + 20436*w**2/7 - 5408*w/7 = 0. What is w?
0, 2/7, 8, 13
Factor 3*s**2 + 300*s - 3300.
3*(s - 10)*(s + 110)
Let 5*j**2/3 - 40*j - 125/3 = 0. What is j?
-1, 25
Factor -4*v**2/5 - 48*v/5 + 112/5.
-4*(v - 2)*(v + 14)/5
Factor -6*w**3/5 - 1124*w**2/5 - 374*w/5.
-2*w*(w + 187)*(3*w + 1)/5
Factor -134*i**2 - 138*i - 4.
-2*(i + 1)*(67*i + 2)
Factor -2*j**3 - 120*j**2 + 1088*j.
-2*j*(j - 8)*(j + 68)
Factor -4*a**5 - 68*a**4 - 312*a**3 - 560*a**2 - 352*a.
-4*a*(a + 2)**3*(a + 11)
Factor 5*a**2 + 810*a + 32805.
5*(a + 81)**2
Let 2*f**3 - 56*f**2 - 250*f - 192 = 0. Calculate f.
-3, -1, 32
Solve -2*a**2/3 + 464*a/3 - 26912/3 = 0.
116
Factor 5*l**4 - 10*l**3 - 5*l**2 + 10*l.
5*l*(l - 2)*(l - 1)*(l + 1)
Let 5*p**4 - 85*p**3 + 340*p**2 - 500*p + 240 = 0. What is p?
1, 2, 12
Factor 4*q**2 - 968*q.
4*q*(q - 242)
Factor -2*w**3 - 216*w**2 - 2376*w + 209088.
-2*(w - 24)*(w + 66)**2
Suppose -3*a**3 + 423*a**2 - 19881*a + 311469 = 0. Calculate a.
47
Determine p, given that 2*p**5 + 8*p**4 - 32*p**3 - 44*p**2 + 30*p + 36 = 0.
-6, -1, 1, 3
Suppose -3*z**2/5 - 12342*z/5 - 12693747/5 = 0. What is z?
-2057
Solve 4*k**2 - 2320*k + 336400 = 0 for k.
290
Solve f**2 + 27*f + 26 = 0 for f.
-2