72*p**2 + 70*p + 23.
(p + 1)**3*(p + 23)
Factor u**3/2 - 67*u**2 + 265*u/2 - 66.
(u - 132)*(u - 1)**2/2
Factor -2*s**3 - 102*s**2 + 4800*s - 42496.
-2*(s - 16)**2*(s + 83)
Solve x**4 - 6*x**3 + 3*x**2 + 10*x = 0.
-1, 0, 2, 5
Factor 9*r**3/4 + 249*r**2/4 + 544*r + 1445.
(r + 5)*(3*r + 34)**2/4
Factor -4*x**4/5 - 4912*x**3/5 - 1512888*x**2/5 - 3011056*x/5 - 1503076/5.
-4*(x + 1)**2*(x + 613)**2/5
Solve 2*w**2/5 + 488*w/5 + 486/5 = 0.
-243, -1
Factor 3*l**2 + 45*l.
3*l*(l + 15)
What is q in 5*q**2 - 10*q - 75 = 0?
-3, 5
Factor 2*v**4 - 16*v**3 + 4*v**2 + 64*v + 42.
2*(v - 7)*(v - 3)*(v + 1)**2
Find h, given that -2*h**2 - 42*h + 44 = 0.
-22, 1
Factor -m**2/8 + 521*m/4 - 1041/8.
-(m - 1041)*(m - 1)/8
Find y such that -64*y**3/5 + 8672*y**2 - 21668*y/5 + 2708/5 = 0.
1/4, 677
Solve y**2/3 - 76*y/3 - 77/3 = 0.
-1, 77
Determine g, given that -46*g**2/5 + 234*g/5 - 4 = 0.
2/23, 5
Find p, given that -3*p**3 - 75*p**2 - 504*p - 432 = 0.
-12, -1
Let 12*r**5 + 69*r**4 + 81*r**3 - 33*r**2 - 93*r - 36 = 0. Calculate r.
-4, -1, -3/4, 1
Let -b**5/4 + 3*b**4/4 + 9*b**3/2 - 8*b**2 - 24*b = 0. Calculate b.
-3, -2, 0, 4
Factor -x**5 + 6*x**4 + 7*x**3 - 92*x**2 + 144*x - 64.
-(x - 4)**2*(x - 1)**2*(x + 4)
Factor 5*g**3 + 300*g**2 + 1980*g - 5200.
5*(g - 2)*(g + 10)*(g + 52)
Let -2*n**3/11 - 32*n**2/11 - 30*n/11 = 0. What is n?
-15, -1, 0
Solve -3*f**2/4 + 15*f - 27 = 0 for f.
2, 18
Factor 4*h**5 + 186*h**4/5 + 544*h**3/5 + 716*h**2/5 + 444*h/5 + 106/5.
2*(h + 1)**4*(10*h + 53)/5
Suppose -4*r**2 - 140*r = 0. Calculate r.
-35, 0
What is m in -2*m**5/9 + 16*m**4/9 + 8*m**3/3 - 52*m**2/9 - 22*m/9 + 4 = 0?
-2, -1, 1, 9
Factor 3*h**3 - 855*h**2 + 65349*h - 619377.
3*(h - 137)**2*(h - 11)
Suppose -130*j**2/9 - 172*j/9 - 14/3 = 0. Calculate j.
-1, -21/65
Factor 23120*u**3 + 2035240*u**2 + 59845*u + 440.
5*(u + 88)*(68*u + 1)**2
Find w such that -w**5/4 + 225*w**4/4 - 12767*w**3/4 + 12319*w**2/4 + 3192*w - 3136 = 0.
-1, 1, 112
Determine s, given that 48*s**3 + 3*s**2/5 - 192*s - 12/5 = 0.
-2, -1/80, 2
Factor 3*i**5/8 + 45*i**4 + 1053*i**3 - 17820*i**2 + 58806*i.
3*i*(i - 6)**2*(i + 66)**2/8
Suppose -x**2 - 2*x - 1 = 0. Calculate x.
-1
Solve -z**5 + 12*z**4 - 32*z**3 - 66*z**2 + 369*z - 378 = 0.
-3, 2, 3, 7
Let -3645*x**5 - 843210*x**4 + 1412505*x**3 - 691430*x**2 + 135100*x - 9320 = 0. What is x?
-233, 2/9, 1
Find c, given that -3*c**4/7 + 15*c**3/7 + 18*c**2/7 = 0.
-1, 0, 6
Determine o so that 3*o**4/5 - 66*o**3/5 + 333*o**2/5 + 66*o/5 - 336/5 = 0.
-1, 1, 8, 14
Suppose -4*a**5 + 112*a**4 + 628*a**3 + 1040*a**2 + 528*a = 0. What is a?
-2, -1, 0, 33
Determine z so that -2*z**3/7 - 3810*z**2/7 - 2419350*z/7 - 512095750/7 = 0.
-635
Let 5*j**4 - 250*j**3 + 940*j**2 - 920*j = 0. What is j?
0, 2, 46
Find o, given that 8*o**4 - 348*o**3 - 176*o**2 = 0.
-1/2, 0, 44
Factor -18*r**3 + 110*r**2 - 174*r + 18.
-2*(r - 3)**2*(9*r - 1)
Find y, given that 15*y**5 - 70*y**4 + 130*y**3 - 120*y**2 + 55*y - 10 = 0.
2/3, 1
Find d, given that -2*d**3/9 - 8*d**2/9 - 2*d/3 = 0.
-3, -1, 0
Let 3*f**3 + 54*f**2 + 267*f + 396 = 0. What is f?
-11, -4, -3
Factor 5*t**3 - 1185*t**2 - 5*t + 1185.
5*(t - 237)*(t - 1)*(t + 1)
Factor 2*t**4/5 + 2*t**3/5 - 18*t**2/5 - 18*t/5.
2*t*(t - 3)*(t + 1)*(t + 3)/5
Find f, given that -5*f**2 - 40*f + 165 = 0.
-11, 3
Solve -3*o**3 - 6*o**2 + 21*o - 12 = 0.
-4, 1
Factor -5*h**5 - 95*h**4 - 170*h**3.
-5*h**3*(h + 2)*(h + 17)
Find g such that 55*g**4 - 10*g**3 - 65*g**2 = 0.
-1, 0, 13/11
Suppose 5*p**4 + 1340*p**3 + 7920*p**2 + 15760*p + 10480 = 0. What is p?
-262, -2
Factor -x**2/3 - 2*x + 9.
-(x - 3)*(x + 9)/3
Solve k**3/8 + 7*k**2/4 - 14*k + 20 = 0.
-20, 2, 4
Factor -2*v**2/13 - 98*v/13 + 100/13.
-2*(v - 1)*(v + 50)/13
Factor -120*i**3 + 4*i**2 + 120*i - 4.
-4*(i - 1)*(i + 1)*(30*i - 1)
Suppose 2*n**2 + 92*n + 176 = 0. What is n?
-44, -2
Solve -2*f**2 + 686*f - 4044 = 0 for f.
6, 337
Factor -a**3/7 - 67*a**2/7 - 168*a - 6192/7.
-(a + 12)**2*(a + 43)/7
Factor -252*f**2 - 165*f/2 - 3.
-3*(7*f + 2)*(24*f + 1)/2
Suppose 36*g**2 + 44*g + 8 = 0. What is g?
-1, -2/9
Suppose 3*g**5/7 + 9*g**4/7 - 39*g**3/7 - 33*g**2/7 + 72*g/7 + 60/7 = 0. Calculate g.
-5, -1, 2
Let -2*p**3/7 + 6*p**2/7 + 20*p/7 = 0. Calculate p.
-2, 0, 5
Let -35*b**2 - 240*b - 205 = 0. Calculate b.
-41/7, -1
Suppose 2*p**3 + 726*p**2 + 87846*p + 3543122 = 0. What is p?
-121
Factor -2*r**5/7 - 1220*r**4/7 - 35496*r**3 - 2425444*r**2 - 2390122*r.
-2*r*(r + 1)*(r + 203)**3/7
Factor -2*r**3/3 - 1456*r**2/3.
-2*r**2*(r + 728)/3
Determine i, given that 2*i**5 + 372*i**4 - 2278*i**3 + 4968*i**2 - 4600*i + 1536 = 0.
-192, 1, 2
Let 5*m**4 + 2410*m**3 + 290400*m**2 - 2410*m - 290405 = 0. Calculate m.
-241, -1, 1
Factor 3*v**5 - 11*v**4 + 14*v**3 - 6*v**2 - v + 1.
(v - 1)**4*(3*v + 1)
Factor -38*h**2 - 48*h - 10.
-2*(h + 1)*(19*h + 5)
What is p in -40*p**2/3 + 35*p - 65/3 = 0?
1, 13/8
Factor -n**3/6 - 13*n**2 + 174*n - 540.
-(n - 6)**2*(n + 90)/6
Factor -2*j**4 + 24*j**3 - 74*j**2 + 84*j - 32.
-2*(j - 8)*(j - 2)*(j - 1)**2
Let -2*v**2/9 + 20*v/9 - 2 = 0. What is v?
1, 9
Factor -h**2/7 + 102*h/7 - 2201/7.
-(h - 71)*(h - 31)/7
Factor -4*m**4 - 136*m**3 - 1152*m**2.
-4*m**2*(m + 16)*(m + 18)
Solve -4*m**5/5 - 176*m**4/5 - 2324*m**3/5 - 1496*m**2 + 22656*m/5 - 12672/5 = 0 for m.
-22, -12, 1
Factor -4*g**2 + 40*g - 96.
-4*(g - 6)*(g - 4)
Factor -3*v**3 + 21*v**2 + 15*v - 225.
-3*(v - 5)**2*(v + 3)
What is l in -2*l**3 + 12*l**2 - 10*l - 24 = 0?
-1, 3, 4
Suppose -n**4/3 + n**3 + 16*n**2/3 + 4*n = 0. What is n?
-2, -1, 0, 6
Factor -g**3/3 + 53*g**2/3 + 109*g/3 + 55/3.
-(g - 55)*(g + 1)**2/3
Factor h**5/4 - 2923*h**4/4.
h**4*(h - 2923)/4
Factor 5*f**2/4 - 12005*f/2 + 28824005/4.
5*(f - 2401)**2/4
Factor 2*l**3/21 + 176*l**2/7 + 174*l/7 - 1052/21.
2*(l - 1)*(l + 2)*(l + 263)/21
Solve -2*x**5 + 6*x**4 + 16*x**3 - 24*x**2 - 32*x = 0.
-2, -1, 0, 2, 4
Let j**3/2 + j**2 - 3*j/2 = 0. Calculate j.
-3, 0, 1
Suppose 4*z**3 - 36*z**2 - 88*z = 0. What is z?
-2, 0, 11
Find i such that 605*i**3 + 495*i**2 - 105*i + 5 = 0.
-1, 1/11
Let -z**4/4 - 257*z**3/4 - 4160*z**2 - 4096*z = 0. Calculate z.
-128, -1, 0
Factor -2*l**2/3 + 700*l/3 - 698/3.
-2*(l - 349)*(l - 1)/3
Determine t, given that 9*t**2 + 312*t + 204 = 0.
-34, -2/3
Determine y, given that -2*y**5 + 26*y**4 + 48*y**3 - 272*y**2 - 160*y + 672 = 0.
-3, -2, 2, 14
Factor b**2/2 - 22*b + 483/2.
(b - 23)*(b - 21)/2
Suppose 5*q**2/3 - 670*q = 0. Calculate q.
0, 402
Factor 2*r**3/11 - 8*r**2 + 806*r/11.
2*r*(r - 31)*(r - 13)/11
Suppose -3380*t**3 + 208*t**2 - 16*t/5 = 0. Calculate t.
0, 2/65
Factor 18*i**2/13 - 1400*i/13 + 1078/13.
2*(i - 77)*(9*i - 7)/13
What is y in 4*y**5 + 12*y**4 - 8*y**3 - 48*y**2 - 32*y = 0?
-2, -1, 0, 2
Factor 25*u**4 - 2360*u**3 - 3860*u**2 + 1920*u.
5*u*(u - 96)*(u + 2)*(5*u - 2)
What is k in -135*k**4 + 216*k**3 - 108*k**2 + 16*k = 0?
0, 4/15, 2/3
Let b**2/3 - 8*b + 48 = 0. Calculate b.
12
Determine u, given that 3*u**5/2 - 60*u**4 + 1419*u**3/2 - 2217*u**2 + 2538*u - 972 = 0.
1, 2, 18
Suppose 4*o**5/7 - 208*o**4/7 - 20*o**3/7 + 1040*o**2/7 + 16*o/7 - 832/7 = 0. Calculate o.
-2, -1, 1, 2, 52
Factor 4*o**4 - 252*o**3 + 244*o**2 + 252*o - 248.
4*(o - 62)*(o - 1)**2*(o + 1)
Factor y**2 + 79*y + 78.
(y + 1)*(y + 78)
What is w in 36*w**4/7 - 426*w**3/7 - 650*w**2/7 + 1392*w/7 - 520/7 = 0?
-5/2, 2/3, 13
Factor -3*f**3/4 + 141*f**2/4 + 3*f/4 - 141/4.
-3*(f - 47)*(f - 1)*(f + 1)/4
Factor -4*m**5/3 + 304*m**4/3 - 7096*m**3/3 + 16720*m**2 - 36300*m.
-4*m*(m - 33)**2*(m - 5)**2/3
Suppose -14*u**2 + 614*u + 88 = 0. Calculate u.
-1/7, 44
Factor -y**3/2 + 5*y**2 + 43*y/2 - 26.
-(y - 13)*(y - 1)*(y + 4)/2
Factor -2*t**4 + 40*t**3.
-2*t**3*(t - 20)
Factor -4*l**2/7 - 484*l/7 - 480/7.
-4*(l + 1)*(l + 120)/7
Determine a, given that -8*a**4/7 + 1138*a**3/7 + 4356*a**2/7 + 3512*a/7 - 1168/7 = 0.
-2, 1/4, 146
Let -5*m**2/4 + 375*m/4 - 365/2 = 0. What is m?
2, 73
Determine t, given that -2*t**5/5 + 2*t**4/5 + 8*t**3/5 - 8*t**2/5 = 0.
-2, 0, 1, 2
Factor 4*o**4 + 6*o**3 - 6*o**2 - 4*o.
2*o*(o - 1)*(o + 2)*(2*o + 1)
Factor -5*v**3/2 - 125*v**2/2 - 260*v - 200.
-5*(v + 1)*(v + 4)*(v + 20)/2
Factor 4*s**2 - 48*s - 180.
4*(s - 15)*(s + 3)
Determine i so that -i**2/6 + 17*i/6 = 0.
0, 17
Solve -51*j**4/7 + 474*j**3/7 - 915*j**2/7 - 900*j/7 = 0.
-12/17, 0, 5
Let -2*k**4 + 18*k**3 + 46*k**2 - 1