 + 1)/5
Determine r, given that -14*r**4 + 256*r**3 - 1584*r**2 + 3456*r - 864 = 0.
2/7, 6
Suppose -k**3/9 - 49*k**2/9 - 667*k/9 - 529/3 = 0. What is k?
-23, -3
Determine b, given that -90*b**5/17 + 1188*b**4/17 - 3410*b**3/17 - 176*b**2/17 + 2200*b/17 + 288/17 = 0.
-2/3, -2/15, 1, 4, 9
Suppose -14*b**3/5 + 38*b**2/5 - 34*b/5 + 2 = 0. What is b?
5/7, 1
Suppose 2*x**5 - 42*x**4 - 1726*x**3 + 3570*x**2 - 1804*x = 0. What is x?
-22, 0, 1, 41
Solve 4*s**2 + 2924*s + 2920 = 0 for s.
-730, -1
Determine q so that -28*q**4 - 148*q**3 + 1136*q**2 + 4368*q + 1152 = 0.
-8, -3, -2/7, 6
Determine k, given that -8*k**5/3 - 2*k**4 + 5*k**3 + 16*k**2/3 + k = 0.
-1, -1/4, 0, 3/2
Suppose 144*g**5 + 5108*g**4 + 2388*g**3 + 280*g**2 = 0. What is g?
-35, -1/4, -2/9, 0
Factor 8*i**4 - 266*i**3/3 + 22*i**2/3.
2*i**2*(i - 11)*(12*i - 1)/3
Factor -15*f**4 - 36*f**3 + 132*f**2.
-3*f**2*(f - 2)*(5*f + 22)
Suppose -12*r**4 - 38*r**3 + 114*r**2 + 20*r = 0. Calculate r.
-5, -1/6, 0, 2
Let -5*q**3 - 130*q**2 - 680*q + 1920 = 0. Calculate q.
-16, -12, 2
Determine t so that 3*t**3/5 - 12*t**2/5 - 3*t/5 + 12/5 = 0.
-1, 1, 4
Solve -h**4 - 807*h**3 + 808*h**2 = 0.
-808, 0, 1
Factor 4*b**4 - 176*b**3 - 1152*b**2 - 2368*b - 1600.
4*(b - 50)*(b + 2)**3
Factor 45*s**3 - 55695*s**2 + 37115*s - 6185.
5*(s - 1237)*(3*s - 1)**2
Solve -3*k**3/2 + 18*k**2 + 114*k - 288 = 0 for k.
-6, 2, 16
Find f such that -5*f**4 - 3170*f**3 - 496065*f**2 + 2022460*f - 2035220 = 0.
-319, 2
Determine j, given that -j**3 - 19*j**2 - 35*j - 17 = 0.
-17, -1
Determine n, given that n**5 + 3*n**4 - 34*n**3 - 108*n**2 - 72*n = 0.
-6, -2, -1, 0, 6
Factor -25*v**4/3 - 40*v**3/3 - 16*v**2/3.
-v**2*(5*v + 4)**2/3
What is j in -2*j**2/15 - 118*j/15 + 52 = 0?
-65, 6
Suppose 4*r**3 + 32*r**2 + 28*r = 0. Calculate r.
-7, -1, 0
Suppose -3*d**5/7 + 30*d**4/7 + 198*d**3/7 + 384*d**2/7 + 309*d/7 + 90/7 = 0. Calculate d.
-2, -1, 15
Find a, given that -2*a**3 - 58*a**2 - 528*a - 1440 = 0.
-12, -5
Suppose -2*c**3/9 - 4*c**2/3 - 2*c - 8/9 = 0. Calculate c.
-4, -1
Factor -m**2/8 - 141*m/4.
-m*(m + 282)/8
Factor -2*g**4 - 16*g**3.
-2*g**3*(g + 8)
Factor d**3 + 7*d**2 - 92*d + 84.
(d - 6)*(d - 1)*(d + 14)
Factor -2*l**2 + 892*l - 2658.
-2*(l - 443)*(l - 3)
Factor j**3/10 - 22*j**2 + 217*j/10 + 219/5.
(j - 219)*(j - 2)*(j + 1)/10
Factor x**2/3 + 106*x/3 - 440/3.
(x - 4)*(x + 110)/3
Factor 4*m**3 + 44*m**2 - 4*m - 44.
4*(m - 1)*(m + 1)*(m + 11)
Factor q**3 + 5*q**2 - 8*q - 12.
(q - 2)*(q + 1)*(q + 6)
Factor -2*v**3/7 - 2892*v**2/7 - 1042560*v/7 + 2096704/7.
-2*(v - 2)*(v + 724)**2/7
Solve 4*j**5 + 140*j**4 + 1644*j**3 + 6916*j**2 + 5408*j = 0.
-13, -8, -1, 0
Solve 3*t**3 + 138*t**2 + 375*t - 516 = 0 for t.
-43, -4, 1
Suppose a**4/4 + 2*a**3 - 355*a**2/4 + 341*a/2 - 84 = 0. Calculate a.
-24, 1, 14
Determine w, given that -3*w**2 - 129*w - 126 = 0.
-42, -1
Factor -c**3/3 - 14*c**2/3 - 13*c/3.
-c*(c + 1)*(c + 13)/3
Factor 3*k**4 + 54*k**3 - 2925*k**2 + 22308*k.
3*k*(k - 13)**2*(k + 44)
Determine v, given that 4*v**5/3 - 16*v**4 + 44*v**3 + 136*v**2/3 - 112*v - 96 = 0.
-1, 2, 6
What is x in x**4/9 - 836*x**3/9 + 87362*x**2/3 - 36517316*x/9 + 1908029761/9 = 0?
209
Solve -3*p**5 + 60*p**4 - 51*p**3 - 114*p**2 = 0.
-1, 0, 2, 19
Solve 120*t**4 + 226*t**3 + 88*t**2 - 22*t - 4 = 0.
-1, -2/15, 1/4
Let 3*x**3/4 - 417*x**2/2 - 2523*x/4 - 843/2 = 0. Calculate x.
-2, -1, 281
Suppose 3*c**4/4 - 24*c**3 + 42*c**2 + 96*c - 180 = 0. Calculate c.
-2, 2, 30
Factor o**4/4 + 75*o**3/4 + 1023*o**2/2 + 5929*o + 23958.
(o + 9)*(o + 22)**3/4
Factor -5*c**3 + 840*c**2 + 1700*c.
-5*c*(c - 170)*(c + 2)
Let 4*l**2 + 164*l + 160 = 0. Calculate l.
-40, -1
Find j such that 3*j**4 + 57*j**3 - 192*j**2 + 132*j = 0.
-22, 0, 1, 2
Let -2*z**2/5 - 846*z/5 - 844/5 = 0. Calculate z.
-422, -1
Find i, given that -i**2 + 12*i - 11 = 0.
1, 11
Let -2*c**4/5 - 6*c**3 - 98*c**2/5 - 114*c/5 - 44/5 = 0. Calculate c.
-11, -2, -1
What is p in 67*p**2/8 + 69*p/8 + 1/4 = 0?
-1, -2/67
Let -3*q**4/7 - 198*q**3/7 + 408*q**2/7 = 0. What is q?
-68, 0, 2
Factor -y**3/3 + 4*y**2/3 + 67*y/3 - 70/3.
-(y - 10)*(y - 1)*(y + 7)/3
Factor 32*x**3 + 226*x**2 - 242*x - 16.
2*(x - 1)*(x + 8)*(16*x + 1)
What is z in -3*z**4 + 3*z**3 + 78*z**2 - 252*z + 216 = 0?
-6, 2, 3
Determine l, given that -l**2/8 + 75*l/2 - 5625/2 = 0.
150
Solve 7*k**4/5 - 51*k**3/5 - 66*k**2/5 + 184*k/5 + 192/5 = 0 for k.
-12/7, -1, 2, 8
Let -4*w**5 + 120*w**4 + 564*w**3 - 680*w**2 = 0. What is w?
-5, 0, 1, 34
Determine m, given that -6*m**5 + 57*m**4 - 129*m**3 - 30*m**2 + 324*m - 216 = 0.
-3/2, 1, 2, 6
Factor -65*s**2 + 30*s.
-5*s*(13*s - 6)
Factor 4*r**4 + 5204*r**3 + 2255064*r**2 + 324725744*r - 326986016.
4*(r - 1)*(r + 434)**3
Factor -14*k**4 + 32*k**3 - 22*k**2 + 4*k.
-2*k*(k - 1)**2*(7*k - 2)
Factor -3*r**4 - 129*r**3 - 1179*r**2 + 4485*r - 3174.
-3*(r - 2)*(r - 1)*(r + 23)**2
What is v in 109*v**2/2 - 54*v - 1/2 = 0?
-1/109, 1
Find v such that 5*v**2/4 - 415*v + 34445 = 0.
166
Factor 2*k**3/5 + 194*k**2 - 1946*k/5 + 974/5.
2*(k - 1)**2*(k + 487)/5
Let -4*t**4 + 240*t**3 - 1076*t**2 - 1320*t = 0. What is t?
-1, 0, 6, 55
Factor 2*q**2/11 + 10*q/11 + 12/11.
2*(q + 2)*(q + 3)/11
Factor h**3/5 - 3*h**2 - 54*h/5.
h*(h - 18)*(h + 3)/5
Find c such that -2*c**2/15 + 90*c + 1352/15 = 0.
-1, 676
Determine t so that -t**2/5 - 268*t/5 - 17956/5 = 0.
-134
Suppose -4*k**4 + 8*k**3 + 112*k**2 - 32*k - 384 = 0. Calculate k.
-4, -2, 2, 6
What is z in -2*z**4/9 - 8*z**3/9 - 2*z**2/3 = 0?
-3, -1, 0
What is f in -2*f**2 - 22*f - 56 = 0?
-7, -4
Solve 52*y**4/3 - 334*y**3/3 - 74*y**2/3 + 104*y = 0 for y.
-1, 0, 12/13, 13/2
Factor -2*h**3/15 - 2*h**2/15 + 4*h/15.
-2*h*(h - 1)*(h + 2)/15
Suppose h**4/5 + 263*h**3/5 - 53*h**2 - 263*h/5 + 264/5 = 0. What is h?
-264, -1, 1
Determine i so that 5*i**5 - 25*i**4 + 25*i**3 + 25*i**2 - 30*i = 0.
-1, 0, 1, 2, 3
Factor 2*c**2 + 52*c + 96.
2*(c + 2)*(c + 24)
Let 4*z**5/7 + 2*z**4 + 2*z**3/7 - 2*z**2 - 6*z/7 = 0. Calculate z.
-3, -1, -1/2, 0, 1
Suppose -2*r**4/3 + 224*r**3/3 + 686*r**2/3 + 460*r/3 = 0. What is r?
-2, -1, 0, 115
Suppose -4*q**3 + 184*q**2 - 2116*q = 0. Calculate q.
0, 23
Factor -c**2/5 - 907*c/5.
-c*(c + 907)/5
Factor 1250*g**3 + 13800*g**2 - 14112*g + 3456.
2*(g + 12)*(25*g - 12)**2
What is q in q**5 - 22*q**4 + 166*q**3 - 448*q**2 + 49*q + 686 = 0?
-1, 2, 7
Factor -16*c**2/13 - 46*c/13 + 6/13.
-2*(c + 3)*(8*c - 1)/13
Factor y**2/6 + 2932*y/3 + 4298312/3.
(y + 2932)**2/6
Suppose -3*f**2 + 225*f + 462 = 0. Calculate f.
-2, 77
Suppose 2595*r**5 - 6965*r**4 - 14585*r**3 + 1985*r**2 + 6890*r - 120 = 0. Calculate r.
-1, 3/173, 2/3, 4
Factor -f**4 + 134*f**3 - 4488*f**2 - 134*f + 4489.
-(f - 67)**2*(f - 1)*(f + 1)
Determine q, given that -5*q**3 - 50*q**2 + 215*q + 260 = 0.
-13, -1, 4
Factor -v**4/3 - 7708*v**3/3 - 7706*v**2 - 23116*v/3 - 7705/3.
-(v + 1)**3*(v + 7705)/3
Factor -14*y**4/9 - 16*y**3/3 - 20*y**2/3 - 32*y/9 - 2/3.
-2*(y + 1)**3*(7*y + 3)/9
Solve -3*b**3 - 15*b**2 + 12*b + 60 = 0 for b.
-5, -2, 2
Solve 3*z**5/2 - 9*z**4/2 - 39*z**3/2 + 153*z**2/2 - 54*z = 0 for z.
-4, 0, 1, 3
Factor 15*b**3 + 111*b**2 + 132*b + 36.
3*(b + 1)*(b + 6)*(5*b + 2)
Determine m so that -m**3/7 + 94*m**2/7 + 192*m/7 = 0.
-2, 0, 96
Suppose 4*m**2/3 - 4124*m/3 = 0. Calculate m.
0, 1031
Solve o**5/2 + 4*o**4 + 13*o**3/2 - 11*o**2 - 34*o - 20 = 0.
-5, -2, -1, 2
Determine h so that -4*h**5 - 132*h**4 - 1468*h**3 - 6396*h**2 - 8896*h - 3840 = 0.
-15, -8, -1
Factor 4*z**4 - 32*z**3 - 416*z**2 + 1920*z + 14400.
4*(z - 10)**2*(z + 6)**2
Find o such that -o**3/5 + o**2/5 + 14*o/5 - 24/5 = 0.
-4, 2, 3
Determine l so that 5*l**5/2 + 67*l**4/2 + 141*l**3/2 + 101*l**2/2 + 11*l = 0.
-11, -1, -2/5, 0
Determine l, given that 8*l**3 + 324*l**2 + 472*l + 156 = 0.
-39, -1, -1/2
Factor 5*q**3 - 120*q**2 + 625*q - 510.
5*(q - 17)*(q - 6)*(q - 1)
Factor 3*u**2/2 + 6*u - 495/2.
3*(u - 11)*(u + 15)/2
Find h such that -5*h**3 - 85*h**2 + 90*h = 0.
-18, 0, 1
What is q in -q**5/3 - 13*q**4 - 35*q**3/3 + 115*q**2/3 + 12*q - 76/3 = 0?
-38, -2, -1, 1
Find z such that -4*z**2 + 60*z + 504 = 0.
-6, 21
Factor -2*x**5/5 - 160*x**4.
-2*x**4*(x + 400)/5
Factor -4*b**3/5 - 488*b**2/5 - 1904*b/5 - 1888/5.
-4*(b + 2)**2*(b + 118)/5
Solve -3*s**2 + 24*s - 45 = 0.
3, 5
Let -3*d**5 - 3*d**4 + 45*d**3 - 69*d**2 + 30*d = 0. Calculate d.
-5, 0, 1, 2