, 1, 2
Find r, given that -r**3 - 61*r**2 - 60*r = 0.
-60, -1, 0
Factor -2*p**4/9 - 4*p**3/9 + 22*p**2/9 + 8*p/3 - 8.
-2*(p - 2)**2*(p + 3)**2/9
Suppose -2*s**2/9 - 640*s/9 + 214/3 = 0. Calculate s.
-321, 1
Determine g so that 14*g**4/11 + 1488*g**3/11 + 33142*g**2/11 - 354540*g/11 - 103968/11 = 0.
-57, -2/7, 8
Factor -o**4/5 + o**3 + o**2/5 - o.
-o*(o - 5)*(o - 1)*(o + 1)/5
Factor 65*z**2 - 1250*z + 285.
5*(z - 19)*(13*z - 3)
Solve 3*l**5/8 + 33*l**4 + 7239*l**3/8 + 27351*l**2/4 - 16524*l + 8748 = 0 for l.
-36, -18, 1
Suppose 2*x**2 - 18*x - 20 = 0. Calculate x.
-1, 10
Factor 2*w**4/7 - 36*w**3/7 + 160*w**2/7 + 36*w/7 - 162/7.
2*(w - 9)**2*(w - 1)*(w + 1)/7
Factor -u**2 + 206*u - 10609.
-(u - 103)**2
Determine l, given that -68*l**3/3 + 254*l**2/3 - 44*l - 18 = 0.
-9/34, 1, 3
Suppose 2*m**2/11 - 458*m/11 - 1392/11 = 0. Calculate m.
-3, 232
Suppose -5*c**2 - 1475*c + 1480 = 0. What is c?
-296, 1
Factor 15*f**3 - 5*f**2 - 15*f + 5.
5*(f - 1)*(f + 1)*(3*f - 1)
Determine i so that 3*i**2 + 3102*i = 0.
-1034, 0
Solve 15*m**4/4 + 2421*m**3/4 + 49683*m**2/2 + 33840*m + 9600 = 0 for m.
-80, -1, -2/5
Factor 4*f**2 - 80*f + 204.
4*(f - 17)*(f - 3)
Let -2*o**2 + 428*o - 22898 = 0. What is o?
107
Factor -2*z**2/25 - 298*z/25 - 3536/25.
-2*(z + 13)*(z + 136)/25
Let -2*v**2 + 5736*v - 4112712 = 0. Calculate v.
1434
Factor 2*t**2/5 - 3432*t/5 - 3434/5.
2*(t - 1717)*(t + 1)/5
Factor -2*y**3/5 + 8*y**2/5 - 2*y/5 - 12/5.
-2*(y - 3)*(y - 2)*(y + 1)/5
Determine l, given that -2*l**2/5 - 1732*l/5 - 374978/5 = 0.
-433
Factor 4*a**5 + 24*a**4 + 16*a**3 - 24*a**2 - 20*a.
4*a*(a - 1)*(a + 1)**2*(a + 5)
Suppose -q**2/4 + 3*q/4 - 1/2 = 0. Calculate q.
1, 2
Factor 3*k**3/7 + 654*k**2 + 249501*k.
3*k*(k + 763)**2/7
Factor 3*x**4 - 61*x**3/3 - 14*x**2/3.
x**2*(x - 7)*(9*x + 2)/3
Find b such that 3*b**3/2 - 1422*b**2 - 17145*b/2 - 12879 = 0.
-3, 954
Factor 3*a**5 - 18*a**4 - 9*a**3 + 168*a**2 - 144*a.
3*a*(a - 4)**2*(a - 1)*(a + 3)
Solve -5*g**4 - 10*g**3 - 5*g**2 = 0.
-1, 0
Factor -5*k**4 - 325*k**3 - 530*k**2 + 6180*k - 7560.
-5*(k - 2)**2*(k + 6)*(k + 63)
Factor c**3 + 8*c**2 + 7*c.
c*(c + 1)*(c + 7)
Determine g, given that -g**2/5 + 42*g/5 + 104 = 0.
-10, 52
Suppose -105*j**5 - 10*j**4 + 355*j**3 - 180*j**2 - 140*j + 80 = 0. Calculate j.
-2, -2/3, 4/7, 1
Find j such that j**3/3 - 2*j**2/3 - 64*j/3 - 160/3 = 0.
-4, 10
Factor 4*f**2 - 28*f + 48.
4*(f - 4)*(f - 3)
Let -2*f**3/9 + 4*f**2 - 142*f/9 - 20 = 0. What is f?
-1, 9, 10
Factor 2*p**3/5 - 154*p**2/5 + 2886*p/5 + 3042/5.
2*(p - 39)**2*(p + 1)/5
Factor 3*i**4 - 36*i**3 + 138*i**2 - 180*i + 75.
3*(i - 5)**2*(i - 1)**2
Let -20*b**4 - 52*b**3 + 104*b**2 - 32*b = 0. Calculate b.
-4, 0, 2/5, 1
Solve -9*s**4/4 + 23*s**3 - 173*s**2/4 + 53*s/2 - 4 = 0.
2/9, 1, 8
Determine i so that -14*i**3/13 + 34*i**2/13 - 2*i + 6/13 = 0.
3/7, 1
Factor 5*i**4 - 10*i**3 - 15*i**2 + 20*i + 20.
5*(i - 2)**2*(i + 1)**2
Determine d so that 2*d**3/3 + 10*d**2/3 + 14*d/3 + 2 = 0.
-3, -1
Factor -2*l**2/9 - 32*l/3 + 416/9.
-2*(l - 4)*(l + 52)/9
Let 3*g**2 - 264*g + 765 = 0. Calculate g.
3, 85
Suppose 3*o**4/8 + 9*o**3/2 - 69*o**2/4 - 9*o/2 + 135/8 = 0. What is o?
-15, -1, 1, 3
Suppose -l**3/3 + 116*l**2/3 - 341*l/3 + 226/3 = 0. What is l?
1, 2, 113
Find v, given that -5*v**2 - 15*v - 10 = 0.
-2, -1
Factor g**4/4 - g**3/4 - 3*g**2/4 + g/4 + 1/2.
(g - 2)*(g - 1)*(g + 1)**2/4
Suppose 108*f**4 - 13659*f**3 - 7284*f**2 + 5721*f - 762 = 0. What is f?
-1, 2/9, 1/4, 127
Factor -t**4/6 + 7*t**3/3 - 11*t**2/2.
-t**2*(t - 11)*(t - 3)/6
Determine t, given that 5*t**2 - 235*t - 750 = 0.
-3, 50
Determine b, given that 5*b**3 + 25*b**2 - 110*b + 80 = 0.
-8, 1, 2
Suppose -2*m**4/13 - 4*m**3 + 54*m**2/13 = 0. Calculate m.
-27, 0, 1
Solve -2*q**3 - 80*q**2/9 + 346*q/9 + 56/3 = 0.
-7, -4/9, 3
Factor s**5/2 - 21*s**4.
s**4*(s - 42)/2
Let -6*u**4 - 130*u**3 + 44*u**2 = 0. What is u?
-22, 0, 1/3
Factor 3*z**3 - 96*z**2 + 768*z.
3*z*(z - 16)**2
Solve -7*y**4 - 649*y**3/3 - 565*y**2/3 + 51*y + 30 = 0 for y.
-30, -1, -1/3, 3/7
Factor 5*d**5 - 20*d**4 - 15*d**3 + 50*d**2 + 40*d.
5*d*(d - 4)*(d - 2)*(d + 1)**2
Find y such that -2*y**3/3 - 866*y**2/3 - 31392*y - 31104 = 0.
-216, -1
Solve p**3 - 10*p**2 + 23*p - 14 = 0.
1, 2, 7
Factor -z**2/9 + 42*z - 377/9.
-(z - 377)*(z - 1)/9
Factor -3*p**3 + 81*p + 162.
-3*(p - 6)*(p + 3)**2
Determine k so that -3*k**3/7 - 3*k**2/7 + 60*k/7 = 0.
-5, 0, 4
Determine u, given that -4*u**5 - 204*u**4 - 3468*u**3 - 19652*u**2 = 0.
-17, 0
Determine r so that -2*r**3/7 + 168*r**2 + 678*r - 5920/7 = 0.
-5, 1, 592
Factor 5*b**3 - 225*b**2 - 230*b.
5*b*(b - 46)*(b + 1)
Determine c, given that -2*c**5/15 - 16*c**4/15 + 22*c**3/15 + 212*c**2/15 + 304*c/15 + 128/15 = 0.
-8, -2, -1, 4
Let 48*d**5 + 364*d**4 - 280*d**3 - 1020*d**2 - 488*d - 64 = 0. Calculate d.
-8, -1, -1/3, -1/4, 2
Find o such that -26*o**3/5 - 334*o**2/5 + 52*o/5 = 0.
-13, 0, 2/13
Let r**5/4 - 13*r**4/2 - 375*r**3/2 + 200*r**2 + 749*r/4 - 387/2 = 0. Calculate r.
-18, -1, 1, 43
Suppose 5*u**4/4 + 65*u**3 - 705*u**2/2 + 225*u + 2565/4 = 0. Calculate u.
-57, -1, 3
Factor 3*t**3 - 948*t**2 - 1905*t - 954.
3*(t - 318)*(t + 1)**2
Factor -3*g**5 - 300*g**4 - 3825*g**3.
-3*g**3*(g + 15)*(g + 85)
Find x, given that 4*x**4 - 2324*x**3 = 0.
0, 581
Let -3*v**2/4 - 2619*v - 2286387 = 0. Calculate v.
-1746
Determine b so that -3*b**4 + 34*b**3 - 89*b**2 + 74*b - 16 = 0.
1/3, 1, 2, 8
Solve 2*l**2/7 - 736*l/7 + 3630/7 = 0.
5, 363
Solve u**4/3 - 109*u**3/3 + 1552*u**2/3 - 1984*u = 0 for u.
0, 8, 93
Find c, given that -5*c**4 - 20*c**3 + 5*c**2 + 20*c = 0.
-4, -1, 0, 1
Factor 4*y**4 - 1232*y**3 + 93624*y**2 + 190960*y + 96100.
4*(y - 155)**2*(y + 1)**2
What is a in -3*a**2 + 81*a - 276 = 0?
4, 23
Suppose 4*m**4 - 20*m**3 - 572*m**2 - 492*m + 1080 = 0. Calculate m.
-9, -2, 1, 15
Factor 2*l**4/5 - 8*l**3 + 288*l**2/5 - 896*l/5 + 1024/5.
2*(l - 8)*(l - 4)**3/5
What is q in 14*q**5/3 - 22*q**4/9 - 62*q**3/3 + 86*q**2/9 + 8*q + 8/9 = 0?
-2, -1/3, -1/7, 1, 2
Factor u**4 - 3194*u**3 + 2550409*u**2.
u**2*(u - 1597)**2
Factor -5*r**3 + 100*r**2 - 340*r + 320.
-5*(r - 16)*(r - 2)**2
Let -2*l**2/3 + 32888*l/3 - 135202568/3 = 0. Calculate l.
8222
Suppose 2*c**2 - 22*c + 20 = 0. Calculate c.
1, 10
Factor -20*g**2 - 108*g - 112.
-4*(g + 4)*(5*g + 7)
Factor -1280180*d**2 + 15180*d - 45.
-5*(506*d - 3)**2
Factor -3*a**5 + 3*a**4 + 114*a**3 + 372*a**2 + 456*a + 192.
-3*(a - 8)*(a + 1)*(a + 2)**3
Find g such that 2*g**4 - 214*g**3 + 422*g**2 - 210*g = 0.
0, 1, 105
What is k in 5*k**2 + 4520*k + 1021520 = 0?
-452
Let -56*c**3 + 212*c**2 - 176*c - 48 = 0. Calculate c.
-3/14, 2
Factor -3*p**2 + 18*p + 48.
-3*(p - 8)*(p + 2)
Factor -q**2/7 + q + 8/7.
-(q - 8)*(q + 1)/7
Factor -2*w**3/9 + 8*w**2/9 + 26*w/3 + 12.
-2*(w - 9)*(w + 2)*(w + 3)/9
Find o, given that 2*o**4 - 2*o**3 - 20*o**2 + 8*o + 48 = 0.
-2, 2, 3
Solve 21*s**2 - 129*s - 312 = 0 for s.
-13/7, 8
Find l such that -75*l**3 + 1670*l**2 - 3440*l + 800 = 0.
4/15, 2, 20
Suppose 5*r**4 - 5265*r**3 + 1383365*r**2 + 1399185*r - 2777290 = 0. Calculate r.
-2, 1, 527
Factor 3*v**2/8 - 6339*v + 26788614.
3*(v - 8452)**2/8
Factor 4*b**4 - 1036*b**3 + 89784*b**2 - 2632976*b + 2544224.
4*(b - 86)**3*(b - 1)
Let -2*p**2/7 + 4*p - 26/7 = 0. Calculate p.
1, 13
Suppose h**3 + 61*h**2 + 960*h + 900 = 0. Calculate h.
-30, -1
Find c, given that c**4/9 - 5*c**3/3 - 25*c**2 - 625*c/9 = 0.
-5, 0, 25
Factor -2*p**3/7 - 72*p**2/7 - 648*p/7.
-2*p*(p + 18)**2/7
Find y, given that 4*y**4/3 - 352*y**3/3 + 3480*y**2 - 107648*y/3 + 97556/3 = 0.
1, 29
Factor -2*n**2/5 + 4*n/5 + 6/5.
-2*(n - 3)*(n + 1)/5
Suppose 5*h**4 - 50*h**3 + 45*h**2 = 0. Calculate h.
0, 1, 9
Factor r**4 - 469*r**3 - 1887*r**2 - 2363*r - 946.
(r - 473)*(r + 1)**2*(r + 2)
Solve 30*m**3 + 55*m**2 - 10*m = 0.
-2, 0, 1/6
Factor -2*w**4/5 + 24*w**3/5 + 54*w**2/5 + 28*w/5.
-2*w*(w - 14)*(w + 1)**2/5
Factor 2*y**2 + 476*y + 944.
2*(y + 2)*(y + 236)
Factor c**4/5 + 7*c**3/5 - 82*c**2/5 + 212*c/5 - 168/5.
(c - 3)*(c - 2)**2*(c + 14)/5
Factor 2*j**4/7 - 6*j**3/7 - 12*j**2/7 + 16*j/7.
2*j*(j - 4)*(j - 1)*(j + 2)/7
Factor 2*h**3/7 + 472*h**2/7 - 1912*h/7 + 1920/7.
2*(h - 2)**2*(h + 240)/7
Let -5*w**5/2 + 105*w**4/4 + 65*w**3/4 - 105*w**2/4 - 55*w/4 = 0. Calculate w.
-1, -1/2, 0, 1, 11
Factor 3*q**2 + 45900*q + 175567500.
3*(q + 7650)**2