iven that 3*y**2/7 - 15*y/7 + 18/7 = 0.
2, 3
Determine a, given that 25*a**4 - 130*a**3 + 123*a**2 - 10*a - 8 = 0.
-1/5, 2/5, 1, 4
Let -m**3 + 7*m**2 + 294*m = 0. What is m?
-14, 0, 21
Solve 3*r**2/2 + 6*r + 9/2 = 0 for r.
-3, -1
Factor -c**3/3 - 46*c**2/3 + 32*c.
-c*(c - 2)*(c + 48)/3
Solve 5*w**2 + 580*w = 0.
-116, 0
Let 4*h**3 - 412*h**2 - 1272*h = 0. Calculate h.
-3, 0, 106
Determine o so that 7*o**2/6 + 3*o + 4/3 = 0.
-2, -4/7
Factor -h**2/2 + 127*h/4 + 16.
-(h - 64)*(2*h + 1)/4
Find t, given that -2*t**3 - 4*t**2 + 70*t = 0.
-7, 0, 5
Factor -2*o**2 + 90*o + 92.
-2*(o - 46)*(o + 1)
Suppose -2*x**2 + 26*x/3 - 8/3 = 0. What is x?
1/3, 4
Factor 3*t**5/4 - 15*t**4 + 351*t**3/4 - 243*t**2/2.
3*t**2*(t - 9)**2*(t - 2)/4
Let -2*z**3 - 112*z**2 - 490*z + 34300 = 0. What is z?
-35, 14
Factor -a**4/2 - 13*a**3 - 25*a**2/2.
-a**2*(a + 1)*(a + 25)/2
Suppose -12*j**3/5 + 12*j**2/5 - 3*j/5 = 0. Calculate j.
0, 1/2
Factor -3*b**4/8 - 15*b**3/8 - 27*b**2/8 - 21*b/8 - 3/4.
-3*(b + 1)**3*(b + 2)/8
Factor -c**4/2 + 9*c**3/2 + 21*c**2/2 + 11*c/2.
-c*(c - 11)*(c + 1)**2/2
Suppose -2*d**5 + 314*d**4/5 - 414*d**3/5 - 194*d**2/5 + 424*d/5 - 24 = 0. What is d?
-1, 2/5, 1, 30
Find k, given that -k**4/6 - k**3 + k**2/6 + k = 0.
-6, -1, 0, 1
Factor -21*n**5/4 + 369*n**4 - 105*n**3.
-3*n**3*(n - 70)*(7*n - 2)/4
Let 4*z**3 + 32*z**2 - 4*z - 32 = 0. What is z?
-8, -1, 1
Suppose -2*x**2/9 - 48*x - 856/9 = 0. What is x?
-214, -2
Find n, given that n**2 - 7*n + 6 = 0.
1, 6
Find p, given that -62*p**3/5 + 126*p**2/5 - 66*p/5 + 2/5 = 0.
1/31, 1
Factor 2*n**3 - 36*n**2 - 2*n + 36.
2*(n - 18)*(n - 1)*(n + 1)
Let c**2/9 - 1418*c/9 - 473/3 = 0. Calculate c.
-1, 1419
Factor -w**2/2 - 609*w.
-w*(w + 1218)/2
What is c in -c**5/9 - 5*c**4/9 + c**3/9 + 17*c**2/9 - 4*c/3 = 0?
-4, -3, 0, 1
Find q, given that 3*q**4 + 24*q**3 - 171*q**2 + 300*q - 156 = 0.
-13, 1, 2
Factor -o**2/4 + 11*o - 43/4.
-(o - 43)*(o - 1)/4
Find d such that -30*d**5/11 + 2*d**4/11 + 214*d**3/11 + 166*d**2/11 - 40*d/11 - 24/11 = 0.
-2, -1, -1/3, 2/5, 3
Factor -q**5 + q**4 + 15*q**3 + 23*q**2 + 10*q.
-q*(q - 5)*(q + 1)**2*(q + 2)
Factor z**3/12 + 4519*z**2/12 - 9041*z/12 + 1507/4.
(z - 1)**2*(z + 4521)/12
What is y in y**3 + 2*y**2 - 13*y + 10 = 0?
-5, 1, 2
Let 2*y**3/17 + 72*y**2/17 - 74*y/17 = 0. Calculate y.
-37, 0, 1
Let w**3/3 - 8*w**2/3 + 7*w/3 = 0. What is w?
0, 1, 7
Factor -q**3/3 + 17*q**2/3 - 56*q/3 + 52/3.
-(q - 13)*(q - 2)**2/3
Factor 2*i**4 - 2*i**3 - 30*i**2 + 18*i + 108.
2*(i - 3)**2*(i + 2)*(i + 3)
Factor -3*h**2 + 12*h + 36.
-3*(h - 6)*(h + 2)
Solve 4*l**4 + 11380*l**3 + 10784436*l**2 + 3397066972*l - 6837362792 = 0 for l.
-949, 2
Suppose 6*y**2/11 - 2352*y/11 + 2346/11 = 0. Calculate y.
1, 391
What is k in -3*k**5 + 336*k**4 - 309*k**3 - 2700*k**2 + 3996*k = 0?
-3, 0, 2, 111
Factor 3*q**3 - 12*q**2 - 135*q.
3*q*(q - 9)*(q + 5)
Factor 2*q**4/7 + 22*q**3/7 - 2*q**2/7 - 22*q/7.
2*q*(q - 1)*(q + 1)*(q + 11)/7
Suppose -3*a**2 - 29928*a - 74640432 = 0. Calculate a.
-4988
Let a**3/3 - 1222*a**2/3 + 2441*a/3 - 1220/3 = 0. What is a?
1, 1220
Determine w, given that 3*w**3 - 6*w**2 - 3*w + 6 = 0.
-1, 1, 2
Factor -4*z**2 - 4*z + 24.
-4*(z - 2)*(z + 3)
Suppose 5*z**5 + 25*z**4 + 30*z**3 - 20*z**2 - 40*z = 0. Calculate z.
-2, 0, 1
Determine x, given that -x**2 - 16*x - 64 = 0.
-8
Factor 56*r**4 + 500*r**3 + 972*r**2 - 72*r.
4*r*(r + 3)*(r + 6)*(14*r - 1)
Factor a**2 - 546*a - 547.
(a - 547)*(a + 1)
Determine i, given that -2*i**5 + 10*i**4 + 28*i**3 = 0.
-2, 0, 7
Determine d so that 10*d**5 - 55*d**4 - 950*d**3 - 3100*d**2 - 3560*d - 1120 = 0.
-4, -2, -1/2, 14
Suppose 3*d**2/7 + 12*d/7 - 36/7 = 0. Calculate d.
-6, 2
Solve -5*h**2 + 3270*h + 3275 = 0.
-1, 655
What is z in -2*z**2/17 - 58*z/17 - 396/17 = 0?
-18, -11
Factor -2*k**3/7 + 72*k**2/7 + 74*k/7.
-2*k*(k - 37)*(k + 1)/7
Suppose 4*w**3 + 140*w**2 - 608*w + 624 = 0. Calculate w.
-39, 2
Find m such that -4*m**2 + 252*m + 792 = 0.
-3, 66
Solve -5*t**3 - 190*t**2 - 1005*t - 1440 = 0.
-32, -3
Find p such that -10*p**5 + 35*p**4 - 40*p**3 + 15*p**2 = 0.
0, 1, 3/2
Suppose -3*z**5 - 54*z**4 - 45*z**3 + 102*z**2 = 0. What is z?
-17, -2, 0, 1
Find u, given that -4*u**5 + 14*u**4 - 8*u**3 - 8*u**2 = 0.
-1/2, 0, 2
Factor -24*n**2 - 15*n/2.
-3*n*(16*n + 5)/2
Find p such that -3*p**3 - 60*p**2 = 0.
-20, 0
Solve 25*c**4 - 170*c**3 - 211*c**2 + 1040*c + 1344 = 0.
-8/5, 3, 7
Find c such that -2*c**3 - 6188*c**2 + 12382*c - 6192 = 0.
-3096, 1
Let -2*f**2 + 228*f - 6498 = 0. Calculate f.
57
Factor -k**5/6 + k**4/3 + 7*k**3/6 + 2*k**2/3.
-k**2*(k - 4)*(k + 1)**2/6
Determine s so that -2*s**4/7 - 38*s**3/7 + 2*s**2/7 + 38*s/7 = 0.
-19, -1, 0, 1
Factor 5*n**4 + 5*n**3 - 20*n**2 - 20*n.
5*n*(n - 2)*(n + 1)*(n + 2)
Solve -3*u**3 - 732*u**2 + 3*u + 732 = 0.
-244, -1, 1
Suppose -c**3/8 - 285*c**2/8 + 144*c - 289/2 = 0. What is c?
-289, 2
Let 3*l**4/5 + 12*l**3/5 - 84*l**2/5 + 96*l/5 = 0. What is l?
-8, 0, 2
Factor f**4/7 + f**3/7 - 15*f**2/7 + 23*f/7 - 10/7.
(f - 2)*(f - 1)**2*(f + 5)/7
Let 5*i**4/3 + 29*i**3/3 + 49*i**2/3 + 19*i/3 - 2 = 0. Calculate i.
-3, -2, -1, 1/5
Find h, given that -3*h**4 + 6*h**3 + 3*h**2 - 6*h = 0.
-1, 0, 1, 2
Factor 99*p**2/5 - 268*p/5 - 52/5.
(9*p - 26)*(11*p + 2)/5
Determine t so that -11*t**4/4 - 45*t**3/2 - 203*t**2/4 - 36*t - 5 = 0.
-5, -2, -1, -2/11
Factor 3*p**5/2 + 12*p**4 - 168*p**2 - 408*p - 288.
3*(p - 4)*(p + 2)**3*(p + 6)/2
Let -i**2/2 - 267*i/2 - 783 = 0. What is i?
-261, -6
Find w such that w**4/5 + 28*w**3/5 + 52*w**2/5 - 2016*w/5 + 5184/5 = 0.
-18, 4
Factor -4*g**4/9 - 296*g**3/9 - 96*g**2 - 856*g/9 - 284/9.
-4*(g + 1)**3*(g + 71)/9
Let 20*o**5/3 - 62*o**4 + 592*o**3/3 - 228*o**2 + 36*o + 18 = 0. What is o?
-1/5, 1/2, 3
Factor -3*k**3/4 - 42*k**2 - 2967*k/4 - 7935/2.
-3*(k + 10)*(k + 23)**2/4
Find q, given that q**3/8 + 7*q**2/4 - 5*q/2 - 75 = 0.
-10, 6
Suppose 2*c**3/5 - 282*c**2/5 + 13254*c/5 - 207646/5 = 0. Calculate c.
47
What is s in -5*s**2 + 75*s - 180 = 0?
3, 12
Let -j**2 - 211*j - 210 = 0. What is j?
-210, -1
Solve 5*q**2/3 + 340*q/3 + 5780/3 = 0 for q.
-34
Find c such that -4*c**5 + 3004*c**4 - 5996*c**3 + 2996*c**2 = 0.
0, 1, 749
Factor 3*m**2 - 243*m - 246.
3*(m - 82)*(m + 1)
Factor a**2 - 90*a.
a*(a - 90)
Let -2*d**4/3 + 10*d**3 + 2*d**2/3 - 10*d = 0. What is d?
-1, 0, 1, 15
Let 24*r**3 + 3*r**2 - 24*r - 3 = 0. What is r?
-1, -1/8, 1
Solve i**2/3 - 2*i/3 - 1 = 0.
-1, 3
Determine o, given that 3*o**3/2 - 18*o**2 - 129*o/2 - 45 = 0.
-2, -1, 15
Factor -3*d**2/5 + 54*d/5.
-3*d*(d - 18)/5
Determine g so that -3*g**5/7 - 8257*g**4/7 - 5674618*g**3/7 + 9477890*g**2/7 - 271269*g - 1896129/7 = 0.
-1377, -1/3, 1
Find h such that 9*h**5 + 60*h**4 - 279*h**3 + 222*h**2 + 108*h - 120 = 0.
-10, -2/3, 1, 2
Determine y so that -y**3 + 69*y**2 - 66*y - 136 = 0.
-1, 2, 68
Factor 35*y**3 + 255*y**2 - 2475*y + 4185.
5*(y - 3)**2*(7*y + 93)
Suppose -2*v**3 + 26*v - 24 = 0. What is v?
-4, 1, 3
Suppose 3*j**3/4 + 27*j**2/4 - 15*j/2 = 0. Calculate j.
-10, 0, 1
Factor 2*s**4/15.
2*s**4/15
Solve -3*g**2 - 300*g + 303 = 0.
-101, 1
Suppose 3*o**3/4 - 3*o**2/4 - 39*o/2 - 18 = 0. What is o?
-4, -1, 6
Suppose -2*r**3/7 - 92*r**2/7 - 344*r/7 - 48 = 0. What is r?
-42, -2
What is c in -2*c**3 - 20*c**2 - 66*c - 72 = 0?
-4, -3
Let 3*x**3/4 - 54*x**2 + 720*x - 2688 = 0. Calculate x.
8, 56
Factor 62*p**2 - 50*p - 12.
2*(p - 1)*(31*p + 6)
Factor 5*m**2 - 405*m.
5*m*(m - 81)
Suppose 4*m**5 + 52*m**4 - 1220*m**3 + 7212*m**2 - 17568*m + 15552 = 0. Calculate m.
-27, 3, 4
Factor 15*v**2 + 13385*v - 8930.
5*(v + 893)*(3*v - 2)
Let 3*d**2 - 12*d - 663 = 0. What is d?
-13, 17
Factor 2*p**3 - 822*p**2 + 84048*p + 84872.
2*(p - 206)**2*(p + 1)
Find o, given that -4*o**3 + 488*o**2 - 964*o + 480 = 0.
1, 120
Determine x so that -128*x**4/5 - 224*x**3 - 600*x**2 - 650*x - 250 = 0.
-5, -5/4
Solve 4*v**5/5 - 8*v**4/5 - 28*v**3/5 - 16*v**2/5 = 0 for v.
-1, 0, 4
Solve -2*p**2/5 - 24*p - 360 = 0 for p.
-30
Suppose -10*s**5 - 14*s**4 + 836*s**3 + 4976*s**2 + 8896*s + 2816 = 0. Calculate s.
-4, -2/5, 11
Suppose -3*f**5/2 + 12*f**4 + 3*f**3 - 24*f**2 - 3*f/2 + 12 = 0. What is f?
-1, 1, 8
Factor -2*w**5/11 + 6*w**3/11 - 4*w**2/11.
-2*w**2*(w - 1)**2*(w + 2)/11
Factor k**3/5 + 24*k**2/5 + 23*k/5.
k*(k + 1)*(k + 23)/5
Solve -3*c**4 + 576*c**3 - 27645*c**2 - 576*c + 27648 = 0 for 