5 = 0. What is j?
-17, -1, 1
Determine m so that -49*m**2/8 + 77*m/4 - 121/8 = 0.
11/7
Determine k so that -2*k**3/3 - 226*k**2/3 + 232*k/3 + 152 = 0.
-114, -1, 2
Suppose -50*j**2 - 35*j + 15 = 0. Calculate j.
-1, 3/10
Factor 6*c**2 + 7*c + 1.
(c + 1)*(6*c + 1)
Factor 2*i**2/3 - 118*i/9 - 40/9.
2*(i - 20)*(3*i + 1)/9
Let 4*i**3/7 + 114*i**2 + 39600*i/7 - 20000/7 = 0. What is i?
-100, 1/2
Factor -10*o**3/7 - 12*o**2/7 + 18*o/7 + 4/7.
-2*(o - 1)*(o + 2)*(5*o + 1)/7
What is n in -2*n**4 + 172*n**3/3 - 824*n**2/9 + 380*n/9 - 6 = 0?
1/3, 1, 27
Find i, given that -3*i**2/7 + 99*i/7 + 30 = 0.
-2, 35
Let 4*a**3 + 2968*a**2 = 0. What is a?
-742, 0
Factor 2*j**4/5 + 8*j**3/5 - 36*j**2/5 + 8*j - 14/5.
2*(j - 1)**3*(j + 7)/5
Suppose 6*s**4 + 57*s**3 + 96*s**2 - 63*s = 0. What is s?
-7, -3, 0, 1/2
Suppose -160*v**2 - 1590*v - 755 = 0. What is v?
-151/16, -1/2
Determine m so that 3*m**3/7 + 6*m**2 + 27*m/7 - 972/7 = 0.
-9, 4
What is c in 2*c**3 + 10*c**2 - 26*c + 14 = 0?
-7, 1
Determine q, given that -3*q**3 - 84*q**2 - 363*q - 414 = 0.
-23, -3, -2
What is a in 5*a**5/6 - 616*a**4/3 + 74897*a**3/6 + 61379*a**2/3 + 7936*a/3 - 15376/3 = 0?
-1, 2/5, 124
Solve 2*c**5/13 - 8*c**4/13 - 2*c**3 + 56*c**2/13 + 120*c/13 = 0.
-2, 0, 3, 5
Factor -m**4/10 + m**3/10 + 3*m**2/10 - m/10 - 1/5.
-(m - 2)*(m - 1)*(m + 1)**2/10
Factor -q**2/7 - 86*q/7.
-q*(q + 86)/7
Factor 4*n**3/7 + 80*n**2/7 - 108*n.
4*n*(n - 7)*(n + 27)/7
Factor 10*q**3 + 775*q**2 + 1145*q + 380.
5*(q + 1)*(q + 76)*(2*q + 1)
Factor 4*p**5 - 12*p**4 - 88*p**3 - 152*p**2 - 108*p - 28.
4*(p - 7)*(p + 1)**4
Factor 15*g**4 - 1670*g**3 + 62160*g**2 - 780330*g + 253265.
5*(g - 37)**3*(3*g - 1)
Factor w**2/4 + 31*w/4 + 29/2.
(w + 2)*(w + 29)/4
What is y in 3*y**2 - 18*y + 24 = 0?
2, 4
Factor 4*r**4/5 + 264*r**3/5 + 52*r**2.
4*r**2*(r + 1)*(r + 65)/5
Solve -2*r**2/11 + 4*r + 46/11 = 0 for r.
-1, 23
Factor -4*o**3 - 48*o**2 + 52*o.
-4*o*(o - 1)*(o + 13)
Factor -2*g**2/11 + 536*g/11 - 534/11.
-2*(g - 267)*(g - 1)/11
Factor 3*h**2 + 96*h + 768.
3*(h + 16)**2
Factor 2*h**3/9 + 2*h**2/9 - 4*h/9.
2*h*(h - 1)*(h + 2)/9
Factor -3*x**3 + 66*x**2 + 327*x - 390.
-3*(x - 26)*(x - 1)*(x + 5)
Solve -45*g**4/4 + 51*g**3/4 + 21*g**2 - 3*g = 0.
-1, 0, 2/15, 2
Factor -k**3 + 139*k**2 + 1465*k + 3725.
-(k - 149)*(k + 5)**2
Factor 2*o**3/3 - 28*o**2/3.
2*o**2*(o - 14)/3
Factor 5*v**4/4 + 30*v**3 - 195*v**2/2 + 100*v - 135/4.
5*(v - 1)**3*(v + 27)/4
Factor 5*z**3 + 105*z**2 - 5*z - 105.
5*(z - 1)*(z + 1)*(z + 21)
Let 4*z**4 + 16*z**3 + 12*z**2 = 0. Calculate z.
-3, -1, 0
Solve 45*l**4 + 800*l**3 - 6660*l**2 + 1440*l = 0.
-24, 0, 2/9, 6
Solve 2*u**4/7 + 264*u**3/7 + 772*u**2/7 - 264*u/7 - 774/7 = 0 for u.
-129, -3, -1, 1
Factor -98*g**3 + 126*g**2 - 30*g + 2.
-2*(g - 1)*(7*g - 1)**2
Factor 5*t**3 + 75*t**2 - 290*t - 360.
5*(t - 4)*(t + 1)*(t + 18)
Factor -2*o**2 - 172*o - 3698.
-2*(o + 43)**2
Factor -w**3/4 - 37*w**2 - 5893*w/4 - 15123/2.
-(w + 6)*(w + 71)**2/4
Factor -d**5 + 297*d**4 + 598*d**3 + 2*d**2 - 597*d - 299.
-(d - 299)*(d - 1)*(d + 1)**3
Let 62*o**4 - 58*o**3 - 4*o**2 = 0. Calculate o.
-2/31, 0, 1
Solve 12*n**3 + 32*n**2 - 308*n + 392 = 0 for n.
-7, 2, 7/3
Factor 5*g**2 - 130*g + 240.
5*(g - 24)*(g - 2)
Factor t**2 + 4642*t + 5387041.
(t + 2321)**2
Factor -3*c**4/5 + 18*c**3/5 - 96*c/5.
-3*c*(c - 4)**2*(c + 2)/5
Suppose 4*m**2/5 + 92*m/5 - 40 = 0. Calculate m.
-25, 2
Factor -2*x**2/7 + 36*x - 1134.
-2*(x - 63)**2/7
Factor -d**3/3 - 128*d**2 - 16384*d - 2097152/3.
-(d + 128)**3/3
Solve 2*t**4 + 26*t**3 - 92*t**2 + 64*t = 0 for t.
-16, 0, 1, 2
Factor -s**2 + 35*s - 66.
-(s - 33)*(s - 2)
Suppose 2*u**3 + 32*u**2 - 22*u - 1452 = 0. What is u?
-11, 6
Factor 8*m**2 - 54*m - 14.
2*(m - 7)*(4*m + 1)
Factor 4*y**4/9 + 200*y**3/9 + 2500*y**2/9.
4*y**2*(y + 25)**2/9
What is v in 2*v**2 + 11076*v + 15334722 = 0?
-2769
Let -2*s**2/23 - 10*s/23 + 28/23 = 0. What is s?
-7, 2
Factor -4*j**2 + 20*j + 24.
-4*(j - 6)*(j + 1)
Find g, given that 5*g**4 - 65*g**3 + 60*g**2 = 0.
0, 1, 12
Factor 4*b**4/5 - 28*b**3/5 + 16*b**2/5 + 48*b/5.
4*b*(b - 6)*(b - 2)*(b + 1)/5
Factor -9*q**3 - 51*q**2 + 80*q - 28.
-(q + 7)*(3*q - 2)**2
Factor 3*i**2 - 5937*i.
3*i*(i - 1979)
Solve 4*l**4 + 8200*l**3 - 8208*l**2 - 8200*l + 8204 = 0.
-2051, -1, 1
Factor 2*n**2/3 - 181*n/3 + 258.
(n - 86)*(2*n - 9)/3
Factor 2*v**5/7 - 12*v**4/7 + 26*v**3/7 - 24*v**2/7 + 8*v/7.
2*v*(v - 2)**2*(v - 1)**2/7
Determine q, given that -4*q**2 - 108*q - 560 = 0.
-20, -7
Determine x so that 4*x**3 - 112*x**2 - 116*x = 0.
-1, 0, 29
Factor 2*g**4/3 + 2*g**3/3.
2*g**3*(g + 1)/3
Factor -2*j**3/7 + 4462*j**2/7 - 2490910*j/7 + 2486450/7.
-2*(j - 1115)**2*(j - 1)/7
Factor -4*d**4 - 8*d**3 + 16*d**2 + 8*d - 12.
-4*(d - 1)**2*(d + 1)*(d + 3)
Factor -2*l**3 - 64*l**2 + 4598*l - 50540.
-2*(l - 19)**2*(l + 70)
Factor 2*x**3 - 8*x**2 - 24*x.
2*x*(x - 6)*(x + 2)
Suppose t**2/3 + 3510*t + 9240075 = 0. What is t?
-5265
Suppose -2*z**5/7 + 2*z**4/7 + 6*z**3 + 94*z**2/7 + 80*z/7 + 24/7 = 0. What is z?
-2, -1, 6
Find u such that u**3 + 492*u**2 + 80688*u + 4410944 = 0.
-164
Let -2*l**3/3 + 17*l**2/3 - 13*l/3 - 110/3 = 0. What is l?
-2, 5, 11/2
Let -3*m**3/2 + 42*m**2 - 351*m/2 - 945 = 0. Calculate m.
-3, 10, 21
Factor -h**2/2 + 26*h - 338.
-(h - 26)**2/2
Suppose 3*v**4 + 12*v**3 - 36*v**2 - 96*v + 192 = 0. Calculate v.
-4, 2
Find y such that -16*y**2 - 460*y - 336 = 0.
-28, -3/4
Factor -2*i**2/9 - 8*i/9 + 40/3.
-2*(i - 6)*(i + 10)/9
Factor -3*y**3/4 + 33*y**2/4 + 3*y/4 - 33/4.
-3*(y - 11)*(y - 1)*(y + 1)/4
Let -3*l**5 + 45*l**4 + 111*l**3 - 153*l**2 = 0. Calculate l.
-3, 0, 1, 17
Solve g**3 + 68*g**2 - 592*g + 1216 = 0.
-76, 4
Factor -s**2 - 2176*s - 1183744.
-(s + 1088)**2
Factor r**2/2 + 5*r - 12.
(r - 2)*(r + 12)/2
Factor 4*u**3/9 + 164*u**2/9 + 104*u/3.
4*u*(u + 2)*(u + 39)/9
Let 3*w**4 + 18*w**3 - 51*w**2 - 18*w + 48 = 0. Calculate w.
-8, -1, 1, 2
Factor -2*c**3 - 174*c**2 - 340*c.
-2*c*(c + 2)*(c + 85)
Find w, given that 2*w**2 - 1172*w + 171698 = 0.
293
Solve -6*n**2/5 + 896*n/5 - 298/5 = 0.
1/3, 149
Factor k**3 - 5*k**2 - 14*k.
k*(k - 7)*(k + 2)
Solve -u**3/4 + 87*u**2/4 = 0.
0, 87
Factor -b**2/4 - 425*b/4.
-b*(b + 425)/4
Let 99*y**4 - 777*y**3 - 3756*y**2 + 3612*y - 528 = 0. Calculate y.
-4, 2/11, 2/3, 11
Factor v**4/4 - 34*v**3 + 198*v**2 - 392*v + 260.
(v - 130)*(v - 2)**3/4
Factor -5*a**3 + 20*a**2 + 5*a - 20.
-5*(a - 4)*(a - 1)*(a + 1)
Solve 3*d**3 + 267*d**2 + 3825*d - 101439 = 0 for d.
-51, 13
Factor v**3/7 + v**2/7 - 214*v/7 + 416/7.
(v - 13)*(v - 2)*(v + 16)/7
Suppose -2*s**3 + 132*s**2 + 410*s + 276 = 0. What is s?
-2, -1, 69
Find y such that -3*y**2 - 36*y + 864 = 0.
-24, 12
Solve d**2 - 22*d + 21 = 0.
1, 21
Determine s, given that -2*s**5 + 6*s**4 + 28*s**3 - 24*s**2 - 80*s = 0.
-2, 0, 2, 5
Factor n**2 - 594*n.
n*(n - 594)
Suppose -h**4 - 20*h**3 + 869*h**2 - 5304*h - 6192 = 0. What is h?
-43, -1, 12
Factor 2*f**3/21 + 6*f**2 - 2*f/21 - 6.
2*(f - 1)*(f + 1)*(f + 63)/21
Factor -2*r**2/3 + 8956*r/3 - 10026242/3.
-2*(r - 2239)**2/3
Factor -l**3 - 203*l**2 - 800*l - 796.
-(l + 2)**2*(l + 199)
Let -u**4 - 25*u**3 - 47*u**2 - 23*u = 0. What is u?
-23, -1, 0
Factor -v**3/5 - 18*v**2/5 - 33*v/5 - 16/5.
-(v + 1)**2*(v + 16)/5
Factor -2*l**2/7 + 452*l/7 - 25538/7.
-2*(l - 113)**2/7
What is n in -2*n**2/7 - 110*n/7 - 108/7 = 0?
-54, -1
Factor 2*a**3/13 + 188*a**2/13 + 4600*a/13 + 8464/13.
2*(a + 2)*(a + 46)**2/13
Factor -p**3/10 - 24*p**2.
-p**2*(p + 240)/10
Find j, given that 9*j**5/4 - 66*j**4 + 2517*j**3/4 - 3555*j**2/2 - 1725*j + 750 = 0.
-1, 1/3, 10
Factor 26*r**2/3 + 12*r.
2*r*(13*r + 18)/3
Find p such that 3*p**2 + 6402*p + 3415467 = 0.
-1067
Let -4*c**2 - 504*c - 15876 = 0. What is c?
-63
Let 4*h**2/3 - 784*h/3 + 38416/3 = 0. What is h?
98
Solve -15*d**5/2 + 33*d**4 - 27*d**3 - 24*d**2 + 69*d/2 - 9 = 0.
-1, 2/5, 1, 3
Determine r so that r**4/4 + 101*r**3 + 20199*r**2/2 - 20503*r + 41209/4 = 0.
-203, 1
What is d in d**3/2 - 2873*d**2 + 11489*d/2 - 2872 = 0?
1, 5744
Factor d**3/2 - 12*d**2 + 135*d/2 - 56.
(d - 16)*(d - 7)*(d - 1)/2
Solve -45*y**5/2 + 237*y**4/4 - 165*y**3/4 - 27*y**2/4 + 51*y/4 - 3/2 = 0.
-1/2, 2/15, 1
Solve i**2 - 18*i - 63 = 0 for i.
-3, 21
Factor 9*y**3 - 2208*y**2 - 1475*y - 246.
(y - 246)*(3*y + 1)**2
Find q, given that -q**4/8 - 11*q**3/4 - 15*q**2/2 - 29*q/4 - 19/8