hat is x?
-39, 7
Suppose 2*l**4/9 + 4*l**3/3 = 0. Calculate l.
-6, 0
Solve -2*a**3/11 + 2*a**2 - 38*a/11 + 18/11 = 0.
1, 9
Factor 7*n**3/9 - 187*n**2/9 + 590*n/9 + 184/9.
(n - 23)*(n - 4)*(7*n + 2)/9
Find j such that 3*j**2/4 + 171*j + 9747 = 0.
-114
Suppose -5*u**3 - 155*u**2 + 170*u + 320 = 0. Calculate u.
-32, -1, 2
Factor a**4/4 + 305*a**3/2 + 152*a**2 - 305*a/2 - 609/4.
(a - 1)*(a + 1)**2*(a + 609)/4
Find k such that -13*k**4 - 3*k**3 + 13*k**2 + 3*k = 0.
-1, -3/13, 0, 1
Factor -2*i**3/17 - 18*i**2/17 + 72*i/17.
-2*i*(i - 3)*(i + 12)/17
Find y such that -2*y**4/5 - 4074*y**3/5 - 2072646*y**2/5 + 2076722*y/5 = 0.
-1019, 0, 1
Factor -5*t**2 + 2700*t - 364500.
-5*(t - 270)**2
Factor -5*f**2 + 2935*f + 2940.
-5*(f - 588)*(f + 1)
Factor -16*y**2 - 108*y - 72.
-4*(y + 6)*(4*y + 3)
Factor -2*l**2 + 65*l - 63.
-(l - 1)*(2*l - 63)
Find g, given that 35*g**4 + 480*g**3 - 1365*g**2 - 1330*g + 480 = 0.
-16, -1, 2/7, 3
What is p in p**3 - 9*p**2 - 22*p = 0?
-2, 0, 11
Factor -b**2/4 - 5*b/4 - 3/2.
-(b + 2)*(b + 3)/4
Solve -2*b**3/5 + 406*b**2/5 - 20806*b/5 + 20402/5 = 0.
1, 101
Suppose -3*p**4 - 78*p**3 - 636*p**2 - 1650*p - 1089 = 0. What is p?
-11, -3, -1
Suppose t**3 - 5*t**2 + 7*t - 3 = 0. What is t?
1, 3
Factor 2*k**4 + 6*k**3 - 8*k**2.
2*k**2*(k - 1)*(k + 4)
Factor -5*t**2 - 60*t - 100.
-5*(t + 2)*(t + 10)
Determine p, given that 2*p**5/5 + 7*p**4/5 - 2*p**2 - 2*p/5 + 3/5 = 0.
-3, -1, 1/2, 1
Suppose -2*l**5 - 36*l**4 + 44*l**3 + 104*l**2 - 186*l + 76 = 0. What is l?
-19, -2, 1
Determine u, given that 2*u**3/7 + 4*u**2/7 + 2*u/7 = 0.
-1, 0
Let 4*v**2 + 120*v - 124 = 0. Calculate v.
-31, 1
Find j such that -2*j**5 + 6*j**4 + 20*j**3 + 4*j**2 - 18*j - 10 = 0.
-1, 1, 5
Factor -4*u**4 - 22840*u**3 - 43456896*u**2 - 27522639872*u + 55219290112.
-4*(u - 2)*(u + 1904)**3
Suppose -3*n**5 + 48*n**4 - 297*n**3 + 888*n**2 - 1284*n + 720 = 0. What is n?
2, 3, 4, 5
Factor 10*h**2/9 + 56*h/9 - 8/3.
2*(h + 6)*(5*h - 2)/9
Factor 3*d**2/2 - 13251*d/2 + 6624.
3*(d - 4416)*(d - 1)/2
Suppose -3*c**2/2 - 120*c - 2400 = 0. Calculate c.
-40
Determine p, given that 75*p**3/2 + 155*p**2/2 - 7*p - 24 = 0.
-2, -3/5, 8/15
What is y in -7*y**5/3 - 200*y**4 - 416*y**3/3 + 770*y**2/3 + 141*y - 170/3 = 0?
-85, -1, 2/7, 1
Factor -125*r**3 - 100*r**2 + 255*r - 90.
-5*(r + 2)*(5*r - 3)**2
Factor -2*a**4/9 + 44*a**3/9 - 46*a**2/3 - 1144*a/9 - 1352/9.
-2*(a - 13)**2*(a + 2)**2/9
Find k such that -k**3/2 + 4*k**2 - 13*k/2 + 3 = 0.
1, 6
Solve -2*n**3 - 8*n**2 + 10*n = 0 for n.
-5, 0, 1
Solve -44*u**4 + 888*u**3 - 1788*u**2 + 1088*u - 144 = 0 for u.
2/11, 1, 18
Factor -2*d**2 + 12452*d + 12454.
-2*(d - 6227)*(d + 1)
Let 2*m**4/3 + 140*m**3/9 + 808*m**2/9 + 884*m/9 + 70/3 = 0. Calculate m.
-15, -7, -1, -1/3
Factor 4*s**4 + 192*s**3 - 396*s**2 + 200*s.
4*s*(s - 1)**2*(s + 50)
Factor 105*c**3 + 10*c**2 - 105*c - 10.
5*(c - 1)*(c + 1)*(21*c + 2)
Determine a, given that 2*a**4/9 + 584*a**3/9 + 13816*a**2/3 - 172864*a/9 + 175232/9 = 0.
-148, 2
Factor 24*r**3 - 20*r**2 - 52*r - 8.
4*(r - 2)*(r + 1)*(6*r + 1)
Determine t so that -12*t**2 - 63*t - 15 = 0.
-5, -1/4
Let 5*k**4/2 - 5*k**3/2 - 115*k**2/2 - 195*k/2 - 45 = 0. Calculate k.
-3, -1, 6
Factor u**3/4 + 13*u**2/2 - u/4 - 13/2.
(u - 1)*(u + 1)*(u + 26)/4
Factor -s**4/2 + 77*s**3 - 5773*s**2/2 - 6006*s - 3042.
-(s - 78)**2*(s + 1)**2/2
Factor 3*n**4 + 9*n**3 - 99*n**2 - 105*n.
3*n*(n - 5)*(n + 1)*(n + 7)
What is h in h**5 - 102*h**4 + 2386*h**3 + 11124*h**2 + 3445*h - 16854 = 0?
-3, -2, 1, 53
Determine d so that 2*d**2/15 - 314*d/15 - 316/15 = 0.
-1, 158
Let -3*b**2 + 15*b + 18 = 0. Calculate b.
-1, 6
Factor 2*j**2/3 - 84*j - 1310/3.
2*(j - 131)*(j + 5)/3
Factor -2*v**2 + 1214*v + 3660.
-2*(v - 610)*(v + 3)
Let -5*j**5 - 20*j**4 - 25*j**3 - 10*j**2 = 0. What is j?
-2, -1, 0
Factor -7*x**2/5 + 12*x/5 + 27/5.
-(x - 3)*(7*x + 9)/5
Factor -i**3/3 - 4*i**2/3 + 12*i + 48.
-(i - 6)*(i + 4)*(i + 6)/3
Factor -k**3 + 74*k**2 - 1369*k.
-k*(k - 37)**2
Factor -4*g**2 + 60*g - 176.
-4*(g - 11)*(g - 4)
Let -15*a**2/2 + 6*a = 0. What is a?
0, 4/5
Let -u**4/2 + 5*u**3 - 2*u**2 - 21*u - 27/2 = 0. What is u?
-1, 3, 9
Solve -4*c**2/5 + 5008*c/5 - 2000 = 0.
2, 1250
Solve 2*q**5/7 - 4*q**4/7 - 6*q**3/7 + 16*q**2/7 - 8*q/7 = 0 for q.
-2, 0, 1, 2
Determine x, given that -3*x**3 + 21*x**2 = 0.
0, 7
Suppose -2*d**3/3 - 14*d**2 - 66*d - 90 = 0. What is d?
-15, -3
What is f in -f**3 - 389*f**2 - 37635*f + 38025 = 0?
-195, 1
Find u, given that u**5 + 190*u**4 - 193*u**3 - 382*u**2 = 0.
-191, -1, 0, 2
Let -2*a**3/3 + 44*a**2/3 - 256*a/3 + 448/3 = 0. What is a?
4, 14
Determine d so that -3*d**4/2 + 42*d**3 + 3*d**2/2 - 42*d = 0.
-1, 0, 1, 28
Factor -4*q**3/3 + 596*q**2/3 - 5660*q/3 + 13900/3.
-4*(q - 139)*(q - 5)**2/3
Factor 3*r**3 + 30*r**2 + 27*r.
3*r*(r + 1)*(r + 9)
Find d, given that -4*d**3 + 64*d**2 + 528*d = 0.
-6, 0, 22
Find m such that -m**5 - 16*m**4 - 41*m**3 + 94*m**2 + 120*m = 0.
-12, -5, -1, 0, 2
Factor 2*i**5/7 - 114*i**4/7 + 2166*i**3/7 - 13718*i**2/7.
2*i**2*(i - 19)**3/7
Solve -5*p**2 + 1180*p - 2340 = 0 for p.
2, 234
Let -35*q**2/6 - q/6 + 1 = 0. What is q?
-3/7, 2/5
Let c**2/2 - 6*c - 13/2 = 0. Calculate c.
-1, 13
Find l such that -2*l**3/3 - 20*l**2/3 = 0.
-10, 0
Solve -7*n**4/6 - 19*n**3/3 - 13*n**2/2 + 6*n = 0 for n.
-3, 0, 4/7
Factor m**4 - 16*m**3 + 64*m**2.
m**2*(m - 8)**2
Suppose -14*y**5 - 10*y**4 + 18*y**3 + 10*y**2 - 4*y = 0. Calculate y.
-1, 0, 2/7, 1
Find g, given that -g**2/3 - 38*g/3 + 105 = 0.
-45, 7
Find j such that -2*j**2 + 18*j + 72 = 0.
-3, 12
Factor -5*f**3 + 90*f**2 + 2835*f - 52920.
-5*(f - 21)**2*(f + 24)
Factor -2*n**3 + 16*n**2 - 42*n + 36.
-2*(n - 3)**2*(n - 2)
Factor 41*d**2/3 + 46*d/3 + 5/3.
(d + 1)*(41*d + 5)/3
Determine v so that 578*v**2 + 8296*v + 29768 = 0.
-122/17
Solve -4*m**3 - 58*m**2 - 200*m - 200 = 0.
-10, -5/2, -2
Factor 3*a**2/8 - 9*a/4 + 15/8.
3*(a - 5)*(a - 1)/8
Factor g**3/2 - 7*g**2 + 35*g/2 + 25.
(g - 10)*(g - 5)*(g + 1)/2
Suppose -5*g**3 + 45*g**2 - 70*g - 120 = 0. Calculate g.
-1, 4, 6
Find p, given that 4*p**3 + 796*p**2 + 3136*p + 3120 = 0.
-195, -2
Let z**5 + 39*z**4 + 222*z**3 - 3022*z**2 + 7521*z - 4761 = 0. What is z?
-23, 1, 3
Find n such that 2*n**2/9 + 8*n/9 + 2/3 = 0.
-3, -1
Factor 5*y**4 + 785*y**3 + 1555*y**2 + 775*y.
5*y*(y + 1)**2*(y + 155)
Solve -2*o**3/15 - 8*o**2/3 + 542*o/15 + 116/3 = 0 for o.
-29, -1, 10
Suppose -3*j**2 + 684*j/5 + 276/5 = 0. Calculate j.
-2/5, 46
Factor -4*k**4 - 32*k**3 - 48*k**2 + 128*k + 256.
-4*(k - 2)*(k + 2)*(k + 4)**2
Factor q**2/4 + 13*q/4.
q*(q + 13)/4
Determine z so that 4*z**2 - 700*z + 2736 = 0.
4, 171
Determine a so that -4*a**5 + 560*a**4 - 21712*a**3 + 147840*a**2 - 278784*a = 0.
0, 4, 66
Factor 4*p**3 - 4*p**2 - 84*p + 180.
4*(p - 3)**2*(p + 5)
Determine d so that -5*d**2 - 3930*d - 11745 = 0.
-783, -3
Find t, given that -111*t**4 - 231*t**3 - 129*t**2 - 9*t = 0.
-1, -3/37, 0
Find o, given that -3*o**5 + 6*o**4 + 240*o**3 + 654*o**2 - 237*o - 660 = 0.
-5, -4, -1, 1, 11
Determine n so that -3*n**4 + 52*n**3 - 144*n**2 - 720*n - 400 = 0.
-2, -2/3, 10
Factor 2*m**3/11 - 14*m**2/11 - 16*m/11.
2*m*(m - 8)*(m + 1)/11
Suppose -2*x**2/7 + 2*x/7 = 0. What is x?
0, 1
Factor -3*r**3 + 180*r**2 - 1575*r + 3750.
-3*(r - 50)*(r - 5)**2
Factor v**5/2 + 11*v**4/2 + 19*v**3/2 + 9*v**2/2.
v**2*(v + 1)**2*(v + 9)/2
Let 5*g**2 + 350*g + 6125 = 0. Calculate g.
-35
Determine b so that -6*b**3 - 81*b**2 + 249*b + 144 = 0.
-16, -1/2, 3
Factor -2*u**2/13 + 26708*u/13 - 89164658/13.
-2*(u - 6677)**2/13
Determine p so that 5*p**3 + 45*p**2 + 40*p = 0.
-8, -1, 0
What is c in c**4/3 - 43*c**3/3 + 161*c**2/3 - 197*c/3 + 26 = 0?
1, 2, 39
Factor -h**3 - 361*h**2 + 1456*h - 1460.
-(h - 2)**2*(h + 365)
Let -768*y**5 + 21504*y**4 - 21024*y**3 + 7824*y**2 - 1299*y + 81 = 0. What is y?
1/4, 27
Factor -g**4/4 - 3*g**3 + 133*g**2/4 + 141*g - 1071.
-(g - 6)**2*(g + 7)*(g + 17)/4
Determine y so that -38*y**3/11 + 338*y**2/11 + 36*y/11 = 0.
-2/19, 0, 9
Solve -m**3/5 - 34*m**2/5 + 149*m/5 - 114/5 = 0 for m.
-38, 1, 3
Factor -3*v**3 - 1119*v**2 - 8808*v - 17520.
-3*(v + 4)**2*(v + 365)
Determine i, given that -2*i**3 - 246*i**2 - 960*i - 952 = 0.
-119, -2
Let v**5/6 - 7*v**4/2 + 28*v**3 - 314*v**2/3 + 176*v - 96 = 0. What is v?
1, 4, 6
Factor -q**4/6 + q**3/6 + 2*q**2/3 - 2*q/3.
-q*(q - 2)*(