given that -5*s**2 - 110*s - 605 = 0.
-11
Determine b so that -42*b**4/5 - 3592*b**3/15 + 384*b**2 + 3616*b/15 + 32 = 0.
-30, -2/7, -2/9, 2
Factor 5*j**4 - 95*j**3 - 435*j**2 - 565*j - 230.
5*(j - 23)*(j + 1)**2*(j + 2)
Let 8*x**3 - 38746*x**2/5 + 25172*x/5 - 3872/5 = 0. Calculate x.
1/4, 2/5, 968
What is f in 20*f**5 - 588*f**4 + 4132*f**3 + 2940*f**2 - 1800*f = 0?
-1, 0, 2/5, 15
Solve -3*k**3 - 1041*k**2 + 4200*k - 4212 = 0 for k.
-351, 2
Factor -s**3/9 + 76*s**2/9 - 1469*s/9 + 8450/9.
-(s - 50)*(s - 13)**2/9
What is b in -2*b**3/9 + 16*b**2/9 + 106*b/9 - 40/3 = 0?
-5, 1, 12
What is b in -10*b**3 + 35*b**2 + 20*b = 0?
-1/2, 0, 4
Determine z, given that z**2/4 + 233*z/4 = 0.
-233, 0
Factor -5*m**2 - 4905*m + 4910.
-5*(m - 1)*(m + 982)
Find t such that -2*t**3/13 + 20*t**2/13 + 122*t/13 - 140/13 = 0.
-5, 1, 14
Let 2*m**2/5 + 16*m/5 - 8 = 0. What is m?
-10, 2
Find f, given that f**5/4 + 9*f**4/2 - 43*f**3/4 - 13*f**2 + 39*f - 20 = 0.
-20, -2, 1, 2
Solve -3*l**2 - 1410*l - 2808 = 0 for l.
-468, -2
Find q such that q**4/3 + q**3 + q**2/3 - q - 2/3 = 0.
-2, -1, 1
Find j, given that -j**3 - 20*j**2 - 89*j - 70 = 0.
-14, -5, -1
Determine y so that 3*y**3/7 - 36*y**2/7 + 141*y/7 - 180/7 = 0.
3, 4, 5
What is s in -2*s**5 + 40*s**4 + 186*s**3 + 144*s**2 = 0?
-3, -1, 0, 24
Suppose 2*g**5 + 668*g**4 + 56430*g**3 + 106892*g**2 - 279544*g - 330672 = 0. Calculate g.
-166, -3, -1, 2
Let v**5/6 + 41*v**4/3 - 85*v**3/2 = 0. What is v?
-85, 0, 3
Determine u so that 3*u**5/8 + 75*u**4/8 + 279*u**3/4 + 243*u**2/4 - 6561*u/8 - 6561/8 = 0.
-9, -1, 3
Let 3*a**2 + 54*a - 57 = 0. Calculate a.
-19, 1
Factor q**4/6 + 80*q**3/3 + 157*q**2/6 - 53*q.
q*(q - 1)*(q + 2)*(q + 159)/6
Factor 2*b**5/5 + 102*b**4/5 + 308*b**3 + 2060*b**2 + 6450*b + 7750.
2*(b + 5)**4*(b + 31)/5
Factor -49*p**5/5 + 1526*p**4/5 - 11209*p**3/5 - 10464*p**2/5 - 2304*p/5.
-p*(p - 16)**2*(7*p + 3)**2/5
Solve -b**4 + 35*b**3 - 392*b**2 + 1372*b = 0.
0, 7, 14
Factor -v**2/8 + 119*v/4.
-v*(v - 238)/8
Factor 4*p**3/5 - 744*p**2/5 - 748*p/5.
4*p*(p - 187)*(p + 1)/5
Let 24*a**4 - 429*a**3 - 990*a**2 - 597*a - 60 = 0. What is a?
-1, -1/8, 20
Suppose 8*p**4 - 66*p**3 + 120*p**2 - 74*p + 12 = 0. Calculate p.
1/4, 1, 6
Factor -z**3/6 + 311*z**2/6 + 625*z/6 + 313/6.
-(z - 313)*(z + 1)**2/6
Factor -7*a**4/2 + 4*a**3 + 13*a**2/2 - a.
-a*(a - 2)*(a + 1)*(7*a - 1)/2
What is v in -16*v**5 + 12*v**4 + 52*v**3 - 4*v**2 - 36*v - 8 = 0?
-1, -1/4, 1, 2
Determine n, given that -2*n**3/11 + 592*n**2/11 - 1178*n/11 + 588/11 = 0.
1, 294
Solve 4*j**3 - 40*j**2 + 92*j - 56 = 0.
1, 2, 7
Determine p, given that p**2 - 1109*p + 1108 = 0.
1, 1108
Factor 2*l**4 - 12*l**3 - 170*l**2 + 900*l.
2*l*(l - 10)*(l - 5)*(l + 9)
Factor -36*j**2/7 - 6*j/7 + 6.
-6*(j - 1)*(6*j + 7)/7
Find o such that 42*o**5/11 + 764*o**4/11 + 4208*o**3/11 + 6656*o**2/11 + 3072*o/11 = 0.
-8, -4/3, -6/7, 0
Factor 4*g**3 + 12444*g**2 + 9672096*g - 9684544.
4*(g - 1)*(g + 1556)**2
Factor -4*d**2 + 392*d - 388.
-4*(d - 97)*(d - 1)
Let 4*c**4 + 128*c**3 = 0. What is c?
-32, 0
Factor -4*u**3/5 - 32*u**2/5 - 84*u/5 - 72/5.
-4*(u + 2)*(u + 3)**2/5
Determine m, given that -3*m**2 - 45*m - 78 = 0.
-13, -2
Determine p, given that -13*p**3/8 + 77*p**2/4 + 107*p + 16 = 0.
-4, -2/13, 16
Factor -5*r**2 + 150*r - 145.
-5*(r - 29)*(r - 1)
Find u, given that 4*u**3/7 + 32*u**2/7 - 92*u/7 - 120/7 = 0.
-10, -1, 3
Factor -3*q**2 + 18*q + 21.
-3*(q - 7)*(q + 1)
Factor 21*j**3 - 81*j**2 - 21*j + 81.
3*(j - 1)*(j + 1)*(7*j - 27)
Factor 2*f**3 + 56*f**2 + 314*f + 420.
2*(f + 2)*(f + 5)*(f + 21)
Factor 3*d**2 - 144*d + 756.
3*(d - 42)*(d - 6)
Let -3*u**3/7 + 6*u**2/7 = 0. What is u?
0, 2
Determine i, given that -4*i**2/9 + 160*i/3 + 484/9 = 0.
-1, 121
Suppose -15*z**2 - 27*z + 6 = 0. Calculate z.
-2, 1/5
Factor -2*r**3/11 + 26*r**2/11 - 64*r/11 + 40/11.
-2*(r - 10)*(r - 2)*(r - 1)/11
Factor 2*d**2/13 + 12*d/13.
2*d*(d + 6)/13
Factor -4*k**2 + 260*k + 264.
-4*(k - 66)*(k + 1)
Suppose -5*s**2 + 25*s + 70 = 0. Calculate s.
-2, 7
Factor -5*z**2/2 - 200*z - 390.
-5*(z + 2)*(z + 78)/2
Factor -3*o**2 + 788*o - 524.
-(o - 262)*(3*o - 2)
Solve 3*u**5 + 42*u**4 + 210*u**3 + 456*u**2 + 435*u + 150 = 0.
-5, -2, -1
Factor 3*a**3 - 69*a**2 + 240*a - 228.
3*(a - 19)*(a - 2)**2
Determine d, given that 3*d**3 + 42*d**2 + 120*d = 0.
-10, -4, 0
Let w**3/5 - 157*w/5 + 156/5 = 0. What is w?
-13, 1, 12
Factor 2*b**4 - 554*b**3 + 39182*b**2 - 112614*b.
2*b*(b - 137)**2*(b - 3)
Factor 4*u**4/3 - u**3 - u**2/3.
u**2*(u - 1)*(4*u + 1)/3
Factor -i**2 - 5*i/2.
-i*(2*i + 5)/2
Let -s**5/3 - 3*s**4 - 10*s**3/3 + 10*s**2 + 11*s/3 - 7 = 0. Calculate s.
-7, -3, -1, 1
Factor -3*b**4 - 12*b**3 + 54*b**2 - 60*b + 21.
-3*(b - 1)**3*(b + 7)
Solve -2*m**3/3 - 38*m**2/3 + 602*m/3 + 638/3 = 0.
-29, -1, 11
Find z such that -3*z**5 + 306*z**4 - 891*z**3 = 0.
0, 3, 99
Factor -k**4 + k**3 + 4*k**2 - 4*k.
-k*(k - 2)*(k - 1)*(k + 2)
Suppose -q**3/2 - 3*q**2 + 48*q + 320 = 0. What is q?
-8, 10
Determine s so that -2*s**3/9 + 34*s**2/9 - 94*s/9 - 130/9 = 0.
-1, 5, 13
Find o, given that o**4 + 194*o**3 + 9408*o**2 - 194*o - 9409 = 0.
-97, -1, 1
Factor -j**2/3 + 112*j/3 - 37.
-(j - 111)*(j - 1)/3
Factor -i**2/4 + 57*i + 1645/4.
-(i - 235)*(i + 7)/4
Factor -2*f**2 + 54*f + 56.
-2*(f - 28)*(f + 1)
Factor -3*r**3/2 - 5*r**2/2 + r.
-r*(r + 2)*(3*r - 1)/2
Determine q, given that 3*q**5 + 24*q**4 + 51*q**3 + 30*q**2 = 0.
-5, -2, -1, 0
Find u, given that -u**3 - 21*u**2 - 18*u + 40 = 0.
-20, -2, 1
Suppose 978*o**3 + 1958*o**2 + 982*o + 2 = 0. Calculate o.
-1, -1/489
Factor -n**3 + 76*n**2 - 603*n.
-n*(n - 67)*(n - 9)
Determine w so that w**2 - 10*w - 96 = 0.
-6, 16
Factor -3*w**2 - 24*w.
-3*w*(w + 8)
Let -14*i**3/15 + 52*i**2/15 - 26*i/15 - 4/5 = 0. What is i?
-2/7, 1, 3
Factor -7*n**3/4 - 7845*n**2/4 + 1121*n/2.
-n*(n + 1121)*(7*n - 2)/4
What is c in c**2 + 3166*c + 6328 = 0?
-3164, -2
Find w, given that 4*w**5/3 - 4*w**4 - 104*w**3/3 - 24*w**2 + 100*w/3 + 28 = 0.
-3, -1, 1, 7
Factor 2*t**3 + 8*t**2 - 10*t.
2*t*(t - 1)*(t + 5)
Suppose -2*g**5/5 - 86*g**4/5 + 18*g**3/5 + 774*g**2/5 = 0. What is g?
-43, -3, 0, 3
Factor -2*i**3 - 12*i**2 + 702*i + 6760.
-2*(i - 20)*(i + 13)**2
Find p such that -3*p**4/4 + 7*p**3 - 49*p**2/4 - p + 7 = 0.
-2/3, 1, 2, 7
Factor 3*y**3/2 + 84*y**2 - 177*y/2 - 171.
3*(y - 2)*(y + 1)*(y + 57)/2
Factor 4*y**2 - 912*y + 51984.
4*(y - 114)**2
Let -3*h**2/5 - 21*h/5 - 36/5 = 0. Calculate h.
-4, -3
Factor -4*v**4 + 92*v**3 - 140*v**2 - 572*v - 336.
-4*(v - 21)*(v - 4)*(v + 1)**2
Find a, given that 2*a**3 - 14*a**2 - 348*a - 864 = 0.
-8, -3, 18
Determine r, given that r**3/4 + 15*r**2/4 + 63*r/4 + 81/4 = 0.
-9, -3
Find k, given that -5*k**5 - 60*k**4 + 295*k**3 - 390*k**2 + 160*k = 0.
-16, 0, 1, 2
Let 5*u**5 + 10*u**4 - 45*u**3 - 110*u**2 + 20*u + 120 = 0. What is u?
-2, 1, 3
Suppose n**4/3 - 3*n**2 + 4*n/3 + 4 = 0. Calculate n.
-3, -1, 2
Determine o, given that -3*o**3/2 + 24*o**2 + 69*o/2 - 153 = 0.
-3, 2, 17
Let -9389610*r**2 - 7752*r - 8/5 = 0. Calculate r.
-2/4845
Factor 5*x**2 - 160*x + 435.
5*(x - 29)*(x - 3)
Factor -p**3/6 - p**2/3 + 4*p.
-p*(p - 4)*(p + 6)/6
Factor 2*s**2/13 + 46*s/13 + 120/13.
2*(s + 3)*(s + 20)/13
Let -5*f**4/2 - 895*f**3/2 - 20670*f**2 - 56320*f + 77440 = 0. What is f?
-88, -4, 1
Find g such that -3*g**3 - 987*g**2 + 2982*g - 1992 = 0.
-332, 1, 2
Factor -4*a**2 - 76*a - 136.
-4*(a + 2)*(a + 17)
Factor 2*d**4 + 7*d**3.
d**3*(2*d + 7)
Factor 2*b**2 + 198*b.
2*b*(b + 99)
Determine i, given that 4*i**5/7 + 12*i**4/7 - 736*i**3/7 - 6672*i**2/7 - 2304*i = 0.
-7, -6, 0, 16
Find a, given that 5445*a**3 - 11550*a**2 + 1340*a - 40 = 0.
2/33, 2
Solve -2*m**2 + 492*m - 490 = 0 for m.
1, 245
Factor 5*f**3/4 - 3875*f**2/4 + 760375*f/4 - 3705625/4.
5*(f - 385)**2*(f - 5)/4
Factor g**4/3 + 52*g**3/3 + 502*g**2/3 - 1508*g + 2523.
(g - 3)**2*(g + 29)**2/3
Find t, given that -13*t**3/4 - 7*t**2/4 + 21*t - 9 = 0.
-3, 6/13, 2
Solve i**5 + 9*i**4 - 13*i**3 - 29*i**2 + 12*i + 20 = 0 for i.
-10, -1, 1, 2
Factor -2*x**2/5 - 356*x/5 - 15842/5.
-2*(x + 89)**2/5
Factor x**3/4 + 19*x**2 - 79*x + 80.
(x - 2)**2*(x + 80)/4
Solve -22*h**2 + 40*h + 8 = 0 for h.
-2/11, 2
Let 5*j**5 + 155*j**4 + 135*j**3 - 475*j**2 - 760*j - 300 = 0. Calculate j.
-30, -1, 2
Factor 4*j**4 + 12*j**3 - 64*j**2 - 192*j.
4*j*(j - 4)*(j + 3)*(j + 4)
