112/9 = 0.
-14, -4
Factor -3*u**3/7 - 9*u**2/7 + 54*u/7.
-3*u*(u - 3)*(u + 6)/7
Let -21*n**3/4 - 657*n**2/4 - 93*n/2 = 0. What is n?
-31, -2/7, 0
Factor o**3 + 1749*o**2 + 1019667*o + 198155287.
(o + 583)**3
Find f, given that -2*f**3/13 + 20*f**2/13 - 34*f/13 + 16/13 = 0.
1, 8
Solve -2*c**3 - 22*c**2 + 50*c - 26 = 0 for c.
-13, 1
Factor u**4/2 - 11*u**3/2 + 20*u**2 - 24*u.
u*(u - 4)**2*(u - 3)/2
Find d, given that -4*d**2 - 712*d - 31684 = 0.
-89
Factor 5*o**3 - 39105*o**2 + 101946735*o - 88591712715.
5*(o - 2607)**3
Suppose -d**2/2 - 31*d/2 = 0. Calculate d.
-31, 0
Factor 2*q**3/7 + 306*q**2/7 + 2910*q/7 + 7150/7.
2*(q + 5)**2*(q + 143)/7
Suppose 45*y**2/2 + 3565*y/2 + 395 = 0. Calculate y.
-79, -2/9
Factor 5*k**3/3 - 10*k**2 - 35*k/3.
5*k*(k - 7)*(k + 1)/3
Determine j, given that -4*j**3 + 48*j**2 + 240*j + 256 = 0.
-2, 16
Factor -2*a**4 + 48*a**3 + 162*a**2 + 8*a - 216.
-2*(a - 27)*(a - 1)*(a + 2)**2
Let 35*p**2 + 535*p + 150 = 0. What is p?
-15, -2/7
Suppose -3*m**5/4 + 33*m**4/4 - 45*m**3/4 - 405*m**2/4 + 162*m + 243 = 0. Calculate m.
-3, -1, 3, 6
Determine r so that r**3 + 4*r**2 - 5*r = 0.
-5, 0, 1
Solve -5*a**3 + 40*a**2 - 60*a = 0 for a.
0, 2, 6
Factor 5*n**5 + 20*n**4 + 5*n**3 - 30*n**2.
5*n**2*(n - 1)*(n + 2)*(n + 3)
What is r in -r**2/4 + 289*r/4 + 145/2 = 0?
-1, 290
Factor -2*t**2/5 - 6132*t/5 - 4700178/5.
-2*(t + 1533)**2/5
What is m in m**4 + m**3 - 34*m**2 - 64*m + 96 = 0?
-4, 1, 6
Factor -x**4/2 + 15*x**3 - 162*x**2 + 729*x - 2187/2.
-(x - 9)**3*(x - 3)/2
Let -6*n**4/13 - 350*n**3/13 + 604*n**2/13 + 240*n/13 = 0. Calculate n.
-60, -1/3, 0, 2
What is b in 50*b**2 + 1260*b + 7938 = 0?
-63/5
Let 3*v**2 - 18*v + 27 = 0. Calculate v.
3
Suppose -3*s**2 + 243*s + 1290 = 0. Calculate s.
-5, 86
Factor -2*v**3/17 + 876*v**2/17 + 1758*v/17 + 880/17.
-2*(v - 440)*(v + 1)**2/17
Let -5*s**2 + 1740*s + 1745 = 0. Calculate s.
-1, 349
Factor i**5/5 - 8*i**4/5 + 2*i**3/5 + 32*i**2/5 + 21*i/5.
i*(i - 7)*(i - 3)*(i + 1)**2/5
Determine y, given that -4*y**4 - 262*y**3 + 2703*y**2/4 - 577*y/2 + 34 = 0.
-68, 1/4, 2
Factor 5*q**3 + 215*q**2 + 880*q - 2660.
5*(q - 2)*(q + 7)*(q + 38)
Factor 4*d**5 + 112*d**4 + 888*d**3 + 1456*d**2 + 676*d.
4*d*(d + 1)**2*(d + 13)**2
Suppose -18*i**2 - 586*i - 320 = 0. Calculate i.
-32, -5/9
Find j such that -162*j**5 - 4266*j**4 - 43092*j**3 - 203604*j**2 - 425258*j - 260642 = 0.
-19/3, -1
Determine q so that -3*q**2 - 18*q - 27 = 0.
-3
Factor -5*r**2 + 125*r - 330.
-5*(r - 22)*(r - 3)
Find k such that -3*k**2 - 222*k = 0.
-74, 0
Let -i**2/6 + 11*i/2 - 15 = 0. What is i?
3, 30
Factor 28*g**3/3 - 12*g**2 + 8*g/3.
4*g*(g - 1)*(7*g - 2)/3
Factor -4*d**4 - 236*d**3 - 680*d**2 - 448*d.
-4*d*(d + 1)*(d + 2)*(d + 56)
Factor -l**2/4 + 3*l/4 + 35/2.
-(l - 10)*(l + 7)/4
Factor a**2/4 - 143*a/4 + 71/2.
(a - 142)*(a - 1)/4
Factor -l**4/3 + 28*l**3 - 464*l**2 - 15824*l/3 - 8464.
-(l - 46)**2*(l + 2)*(l + 6)/3
Factor -3*z**4/5 - 399*z**3/5 - 396*z**2/5.
-3*z**2*(z + 1)*(z + 132)/5
Factor 2*b**3/19 + 48*b**2/19 + 130*b/19 + 84/19.
2*(b + 1)*(b + 2)*(b + 21)/19
Determine u so that -5*u**2/2 - 2830*u - 800890 = 0.
-566
Determine v so that 4*v**5 - 24*v**4 + 8*v**3 + 64*v**2 - 12*v - 40 = 0.
-1, 1, 2, 5
Factor x**4/4 + 33*x**3/4 - x**2/4 - 33*x/4.
x*(x - 1)*(x + 1)*(x + 33)/4
Factor -w**5/3 - 10*w**4/3 - 13*w**3 - 74*w**2/3 - 68*w/3 - 8.
-(w + 1)*(w + 2)**3*(w + 3)/3
Factor q**4/3 + 126*q**3 + 11907*q**2.
q**2*(q + 189)**2/3
Factor r**3/8 + 109*r**2/2 - 879*r/8 - 657/4.
(r - 3)*(r + 1)*(r + 438)/8
Let -2*k**5/3 + 16*k**4/3 - 22*k**3/3 - 40*k**2/3 = 0. Calculate k.
-1, 0, 4, 5
Determine f so that 65*f**4/7 - 34*f**3 + 148*f**2/7 + 184*f/7 - 96/7 = 0.
-4/5, 6/13, 2
Determine w, given that 99*w**2/7 + 78*w/7 - 3 = 0.
-1, 7/33
Factor 5*r**2/3 + 495*r - 2990/3.
5*(r - 2)*(r + 299)/3
Factor -2*p**2/13 - 34*p/13 + 336/13.
-2*(p - 7)*(p + 24)/13
Factor -p**3/6 - 7*p**2/2 - 58*p/3 - 16.
-(p + 1)*(p + 8)*(p + 12)/6
Let d**5/5 + d**4 + 2*d**3/5 - 8*d**2/5 = 0. Calculate d.
-4, -2, 0, 1
What is c in c**3/6 + 6*c**2 + 29*c/6 - 35 = 0?
-35, -3, 2
Factor -4*t**2 - 112*t + 240.
-4*(t - 2)*(t + 30)
Factor s**5 - 11*s**4 + 9*s**3 + 11*s**2 - 10*s.
s*(s - 10)*(s - 1)**2*(s + 1)
Factor -3*h**3/2 + 6*h**2 - 9*h/2.
-3*h*(h - 3)*(h - 1)/2
Factor -3*s**2/2 + 81*s/4 - 39/4.
-3*(s - 13)*(2*s - 1)/4
Let 2*w**3/13 + 348*w**2/13 + 15138*w/13 = 0. What is w?
-87, 0
Determine m, given that 2*m**5 - 37*m**4/3 + 18*m**3 + 28*m**2/3 - 20*m + 3 = 0.
-1, 1/6, 1, 3
Solve 12*r**4 + 284*r**3 + 248*r**2 - 544*r = 0.
-68/3, -2, 0, 1
Factor 5*y**2 + 20*y + 20.
5*(y + 2)**2
Find m such that -m**4/8 + 3*m**3/4 - m**2/8 - 3*m - 2 = 0.
-1, 4
Factor 3*l**4 - 318*l**3 - 1647*l**2 - 1998*l.
3*l*(l - 111)*(l + 2)*(l + 3)
Find x, given that -4*x**5/5 + 32*x**3/5 + 24*x**2/5 - 28*x/5 - 24/5 = 0.
-2, -1, 1, 3
Solve -5*p**2 - 20*p - 20 = 0.
-2
Factor -2*f**3 + 646*f**2 - 51840*f - 52488.
-2*(f - 162)**2*(f + 1)
Determine p so that -18*p**2/17 + 188*p/17 + 448/17 = 0.
-2, 112/9
Find v, given that -3*v**3 - 30*v**2 - 84*v - 72 = 0.
-6, -2
Solve -5*q**2 + 2385*q - 9460 = 0 for q.
4, 473
Solve 25*g**4 + 235*g**3 + 665*g**2 + 605*g + 150 = 0 for g.
-5, -3, -1, -2/5
Factor 1029*g**4/2 + 147*g**3 - 42*g**2 - 12*g.
3*g*(7*g - 2)*(7*g + 2)**2/2
Factor -3*h**4 + 96*h**3 - 990*h**2 + 2904*h + 3993.
-3*(h - 11)**3*(h + 1)
Factor -2*f**4/15 + 166*f**3/15 - 1512*f**2/5 + 7840*f/3 + 43904/15.
-2*(f - 28)**3*(f + 1)/15
Factor 4*a**3 + 3*a**2/5 - 16*a - 12/5.
(a - 2)*(a + 2)*(20*a + 3)/5
Solve z**4/4 + 23*z**3/2 + 569*z**2/4 + 209*z - 363 = 0 for z.
-22, -3, 1
Solve 11*m**4/4 - 29*m**3/4 + 7*m**2/4 + 29*m/4 - 9/2 = 0 for m.
-1, 1, 18/11
What is m in 2*m**5 - 28*m**4/9 - 70*m**3/9 + 40*m**2/3 - 8*m/9 - 32/9 = 0?
-2, -4/9, 1, 2
Determine a so that -4*a**2 + 180*a + 376 = 0.
-2, 47
What is l in -l**4/5 + l**3/5 + 22*l**2/5 - 8*l = 0?
-5, 0, 2, 4
Solve -g**4/2 - 17*g**3/2 + 40*g**2 - 42*g = 0 for g.
-21, 0, 2
Factor 2*g**2/5 + 24*g/5 + 54/5.
2*(g + 3)*(g + 9)/5
Let -45*d**4 - 147*d**3 + 732*d**2/5 + 276*d/5 - 48/5 = 0. What is d?
-4, -2/5, 2/15, 1
Let 3*q**2 + 1479*q - 1482 = 0. What is q?
-494, 1
What is s in 2*s**2/7 + 932*s/7 + 108578/7 = 0?
-233
Factor 3*m**4 - 39*m**3 - 45*m**2 + 39*m + 42.
3*(m - 14)*(m - 1)*(m + 1)**2
What is j in 242*j**2 - 1320*j + 1800 = 0?
30/11
What is v in -v**4 - 40*v**3 - 528*v**2 - 2560*v - 4096 = 0?
-16, -4
Determine i so that -2*i**5/3 - 14*i**4 + 94*i**3/3 + 14*i**2 - 92*i/3 = 0.
-23, -1, 0, 1, 2
Factor -4*n**2 + 708*n + 712.
-4*(n - 178)*(n + 1)
Let -21*t**5/4 + 141*t**4/4 - 63*t**3/4 - 177*t**2/4 + 21*t + 9 = 0. What is t?
-1, -2/7, 1, 6
Let 4*v**4 - 4*v**3 - 120*v**2 - 304*v - 224 = 0. Calculate v.
-2, 7
Factor t**3/4 + 57*t**2 + 1115*t/4.
t*(t + 5)*(t + 223)/4
Determine y so that 2*y**2 + 82*y = 0.
-41, 0
Factor 4*f**2 - 73000*f + 333062500.
4*(f - 9125)**2
Let f**3/9 - f/3 - 2/9 = 0. What is f?
-1, 2
Factor 605*n**3 + 29865*n**2 + 10800*n + 980.
5*(n + 49)*(11*n + 2)**2
What is c in -2*c**2/13 - 216*c/13 - 630/13 = 0?
-105, -3
Factor 4*a**3/7 - 4*a**2 + 44*a/7 - 20/7.
4*(a - 5)*(a - 1)**2/7
Let -m**4 + 3*m**3 - m**2 - 3*m + 2 = 0. What is m?
-1, 1, 2
Let y**5 - 68*y**4/7 + 64*y**3/7 + 528*y**2/7 + 144*y/7 = 0. Calculate y.
-2, -2/7, 0, 6
Suppose -12*o**3/5 - 48*o**2 + 285*o - 375 = 0. What is o?
-25, 5/2
Suppose 9*v**4 + 1641*v**3/2 + 1893*v**2/2 + 135*v = 0. Calculate v.
-90, -1, -1/6, 0
Find j such that -2*j**4 + 66*j**3 - 238*j**2 + 174*j = 0.
0, 1, 3, 29
Find j such that -4*j**3 - 68*j**2 - 316*j - 252 = 0.
-9, -7, -1
Factor 3*f**2 - 9*f - 30.
3*(f - 5)*(f + 2)
Solve 2*c**5 - 2*c**4 - 10*c**3 - 6*c**2 = 0.
-1, 0, 3
Factor -2*d**4/13 - 2048*d**3/13 - 511856*d**2/13 + 6365184*d/13 - 19319328/13.
-2*(d - 6)**2*(d + 518)**2/13
Factor 1690*d**2 + 11570*d + 39605/2.
5*(26*d + 89)**2/2
Let q**3/4 + 147*q**2/4 - 37*q = 0. Calculate q.
-148, 0, 1
Factor f**3/2 - 5*f**2/2 - 41*f/2 + 45/2.
(f - 9)*(f - 1)*(f + 5)/2
Factor -2*b**3/11 - 16*b**2/11 + 2*b/11 + 16/11.
-2*(b - 1)*(b + 1)*(b + 8)/11
Find y such that -y**3/3 - 8*y**2/3 - 3*y + 6 = 0.
-6, -3, 1
Suppose 2*q**3/11 + 46*q**2/11 + 160*q/11 + 152/11 = 0. What is q?
-19, -2
Factor 3*p**4 + 285*p**3 - 603*p**2 - 2049*p - 1164.
3*(p - 4)*(p + 1)**2*(p + 97)
What is p in 2*p**2/3 + 242*p = 0?
-363, 0
Factor p**3/8 + 933*