 + 2/15.
2*(f + 1)**2*(4*f + 1)/15
Let c**5/5 + 17*c**4/5 - 7*c**3/5 - 113*c**2/5 + 102*c/5 = 0. What is c?
-17, -3, 0, 1, 2
Determine o, given that -o**5/4 - o**4 + 3*o**3/4 + 5*o**2/2 - 2*o = 0.
-4, -2, 0, 1
Factor 5*o**2 + 30*o - 80.
5*(o - 2)*(o + 8)
Factor -4*y**4 + 264*y**3 + 816*y**2 + 824*y + 276.
-4*(y - 69)*(y + 1)**3
Let -5*t**2/4 - 13*t/4 + 3/2 = 0. What is t?
-3, 2/5
What is r in 40*r**4 + 130*r**3 + 65*r**2 - 25*r = 0?
-5/2, -1, 0, 1/4
Find t such that -3*t**2 - 120*t = 0.
-40, 0
Find v, given that 2*v**2 = 0.
0
Solve -5*s**2 - 6220*s - 1934420 = 0 for s.
-622
Determine p, given that -p**5/7 + p**4/7 + 6*p**3/7 - 2*p**2 + 11*p/7 - 3/7 = 0.
-3, 1
Factor b**2/4 + 39*b/2.
b*(b + 78)/4
What is l in -2*l**4/3 - 20*l**3 - 150*l**2 = 0?
-15, 0
What is o in o**2 + 2*o = 0?
-2, 0
Find n, given that n**5/5 - n**4/5 - n**3/5 + n**2/5 = 0.
-1, 0, 1
Factor q**3 - 50*q**2 - 107*q + 156.
(q - 52)*(q - 1)*(q + 3)
Find c such that -4*c**3 + 35604*c**2 - 105637068*c + 104475060252 = 0.
2967
Let 4*c**5 + 28*c**4 + 20*c**3 - 220*c**2 - 504*c - 288 = 0. What is c?
-4, -3, -2, -1, 3
Factor -o**2/5.
-o**2/5
Factor 45*o**4 + 550*o**3 + 2145*o**2 + 2700*o + 500.
5*(o + 2)*(o + 5)**2*(9*o + 2)
Factor p**3 - 97*p**2 + 3128*p - 33524.
(p - 34)**2*(p - 29)
Factor -4*i**5/3 - 32*i**4/3 - 16*i**3/3 + 320*i**2/3 + 256*i/3 - 1024/3.
-4*(i - 2)**2*(i + 4)**3/3
Suppose -3*s**2/7 - 171*s/7 + 2244/7 = 0. What is s?
-68, 11
Find s, given that -4*s**5/3 + 202*s**4/3 + 106*s**3/3 - 202*s**2/3 - 34*s = 0.
-1, -1/2, 0, 1, 51
Factor -4*d**4 + 40*d**3 + 48*d**2 - 40*d - 44.
-4*(d - 11)*(d - 1)*(d + 1)**2
Suppose -8*m**2/3 + 44*m/3 - 12 = 0. What is m?
1, 9/2
Suppose -4*l**3/3 + 248*l**2/3 - 1364*l/3 + 1120/3 = 0. What is l?
1, 5, 56
Factor -4*h**5/7 + 4*h**4 - 32*h**3/7 - 64*h**2/7.
-4*h**2*(h - 4)**2*(h + 1)/7
Factor -973*s**2/11 + 974*s/11 - 1/11.
-(s - 1)*(973*s - 1)/11
What is b in b**3/6 + 247*b**2 + 122018*b + 60276892/3 = 0?
-494
Factor 2*o**2 - 5728*o - 5730.
2*(o - 2865)*(o + 1)
Suppose 3*w**2 - 3288*w = 0. Calculate w.
0, 1096
What is z in -21*z**2 - 246*z + 72 = 0?
-12, 2/7
Factor k**2 + 30*k + 81.
(k + 3)*(k + 27)
Suppose a**4 + 446*a**3 + 51049*a**2 + 294360*a + 435600 = 0. Calculate a.
-220, -3
Let -4*o**4 - 296*o**3 + 1244*o**2 - 336*o - 1872 = 0. Calculate o.
-78, -1, 2, 3
Find j such that 3*j**2 - 138*j + 1587 = 0.
23
Factor 5*i**2 + 140*i + 575.
5*(i + 5)*(i + 23)
Let -2*z**4/15 - 2*z**3/15 = 0. What is z?
-1, 0
Factor 2*a**2 + 6*a + 4.
2*(a + 1)*(a + 2)
Let -3*o**5/4 + 9*o**4/2 - 9*o**3 + 6*o**2 = 0. What is o?
0, 2
Factor t**2/4 + 169*t/4 - 525/2.
(t - 6)*(t + 175)/4
What is l in l**4/8 - 339*l**3/8 - 341*l**2/8 + 339*l/8 + 85/2 = 0?
-1, 1, 340
Find j, given that 2*j**4/9 + 2*j**3/3 - 12*j**2 - 224*j/9 = 0.
-8, -2, 0, 7
Find j, given that j**3/2 + 5*j**2/2 - 12*j = 0.
-8, 0, 3
Factor c**5 - c**4 - 2*c**3 + 2*c**2 + c - 1.
(c - 1)**3*(c + 1)**2
Factor -3*l**3/4 + 87*l**2 - 2523*l.
-3*l*(l - 58)**2/4
Determine i, given that 4*i**4/7 + 116*i**3/7 + 128*i**2 + 112*i = 0.
-14, -1, 0
What is j in j**4/5 + 41*j**3/5 + 117*j**2/5 + 23*j + 38/5 = 0?
-38, -1
Factor 5*g**3 + 31*g**2 + 30*g.
g*(g + 5)*(5*g + 6)
Find l, given that l**2 + 6*l - 16 = 0.
-8, 2
Find p such that -15*p**4 - 154*p**3 - 25*p**2 + 154*p + 40 = 0.
-10, -1, -4/15, 1
Find n, given that 3*n**2 - 525*n + 3528 = 0.
7, 168
Let 49*o**5 - 1076*o**4 + 8188*o**3 - 24752*o**2 + 24064*o + 1024 = 0. What is o?
-2/49, 2, 4, 8
Factor a**2 + 37*a - 38.
(a - 1)*(a + 38)
Find l, given that l**5/2 - 7*l**4 + 33*l**3/2 + 2*l**2 - 22*l = 0.
-1, 0, 2, 11
Factor 5*m**4 - 35*m**3 - 25575*m**2 + 1090735*m - 12810130.
5*(m - 31)**3*(m + 86)
What is p in 20*p**4 + 368*p**3 + 1084*p**2 + 976*p + 240 = 0?
-15, -2, -1, -2/5
Determine l, given that -567*l**5/2 - 738*l**4 - 1219*l**3/2 - 123*l**2 + 48*l + 16 = 0.
-1, -4/9, 2/7
Factor -18*a**2/7 + 508*a/7 - 16.
-2*(a - 28)*(9*a - 2)/7
Factor -86*s**3/13 - 174*s**2/13 - 90*s/13 - 2/13.
-2*(s + 1)**2*(43*s + 1)/13
Factor 8*a**3/5 - 42*a**2/5 + 72*a/5 - 8.
2*(a - 2)**2*(4*a - 5)/5
Factor 5*r**2 + 5*r - 10.
5*(r - 1)*(r + 2)
Let -3*d**3 - 153*d**2 - 2601*d - 14739 = 0. Calculate d.
-17
Solve b**3/5 - 372*b**2/5 - 748*b/5 = 0 for b.
-2, 0, 374
Find h such that 2*h**2 + 302*h - 304 = 0.
-152, 1
Suppose 4*s**5/5 - 208*s**4 + 21632*s**3 - 1124864*s**2 + 29246464*s - 1520816128/5 = 0. What is s?
52
What is t in t**5/3 - 23*t**4/3 + 119*t**3/3 + 167*t**2/3 - 40*t - 48 = 0?
-1, 1, 12
Factor 5*u**3 - 65*u**2.
5*u**2*(u - 13)
What is z in -2*z**2/17 + 7170*z/17 = 0?
0, 3585
Factor -3*g**3 + 421*g**2/2 + 397*g - 72.
-(g - 72)*(g + 2)*(6*g - 1)/2
Determine j, given that 2*j**3/19 + 198*j**2 + 1774710*j/19 + 5290326/19 = 0.
-939, -3
Determine l so that l**3/3 + 97*l**2/3 + 800*l + 768 = 0.
-48, -1
Determine h, given that 20*h**5/3 - 8*h**4/3 - 40*h**3/3 + 16*h**2/3 + 20*h/3 - 8/3 = 0.
-1, 2/5, 1
Factor 4*g**5 + 52*g**4 + 240*g**3 + 512*g**2 + 512*g + 192.
4*(g + 1)*(g + 2)**3*(g + 6)
Find a, given that 27*a**4 + 264*a**3 - 519*a**2 - 1680*a + 396 = 0.
-11, -2, 2/9, 3
Suppose 2*y**5/3 + 16*y**4/3 + 8*y**3 - 64*y**2/3 - 128*y/3 = 0. What is y?
-4, -2, 0, 2
What is f in -3*f**4/2 - 6*f**3 + 3*f**2/2 + 6*f = 0?
-4, -1, 0, 1
Suppose -325*c**3 - 580*c**2 + 1115*c - 210 = 0. Calculate c.
-3, 14/65, 1
Factor -5*b**2 - 215*b + 940.
-5*(b - 4)*(b + 47)
Suppose o**2/5 - 11*o + 50 = 0. What is o?
5, 50
Let -4*j**3/7 + 4*j**2/7 + 24*j/7 = 0. Calculate j.
-2, 0, 3
Find l, given that -5*l**2 - 90*l + 200 = 0.
-20, 2
Solve -4*p**2 - 3064*p + 3068 = 0 for p.
-767, 1
Factor 5*n**4 - 105*n**3 + 100*n**2.
5*n**2*(n - 20)*(n - 1)
Determine p, given that -2*p**2/11 + 36*p/11 + 38/11 = 0.
-1, 19
Factor -20*h**3/7 + 44*h**2/7 - 8*h/7.
-4*h*(h - 2)*(5*h - 1)/7
Factor z**2/7 - 150*z/7 + 5625/7.
(z - 75)**2/7
Solve s**4 - 4*s**3 - 21*s**2 = 0.
-3, 0, 7
Let -2*g**4/11 - 36*g**3/11 - 8*g**2 + 36*g/11 + 90/11 = 0. Calculate g.
-15, -3, -1, 1
Factor -3*f**2/5 + 111*f/5 - 126.
-3*(f - 30)*(f - 7)/5
What is n in 3*n**4 - 98*n**3 - 243*n**2 - 70*n = 0?
-2, -1/3, 0, 35
Suppose -10*j**5 - 205*j**4 - 30*j**3 + 1375*j**2 - 530*j - 600 = 0. Calculate j.
-20, -3, -1/2, 1, 2
Solve 4*r**3 + 2911*r**2 + 529256*r - 132496 = 0.
-364, 1/4
What is n in -3*n**5 + 174*n**4 - 2850*n**3 + 9564*n**2 - 11259*n + 4374 = 0?
1, 2, 27
Factor 440*s**2/3 + 434*s/3 - 2.
2*(s + 1)*(220*s - 3)/3
Factor -5*z**4/3 + 55*z**3/3 - 45*z**2 + 125*z/3 - 40/3.
-5*(z - 8)*(z - 1)**3/3
Factor -2*d**3/17 - 8*d**2/17.
-2*d**2*(d + 4)/17
Suppose -21*b**5/8 - 39*b**4/4 - 39*b**3/8 + 51*b**2/4 + 15*b/2 - 3 = 0. Calculate b.
-2, -1, 2/7, 1
Factor -x**3/2 - 5*x**2/2.
-x**2*(x + 5)/2
Solve 3*a**2 + 6942*a - 6945 = 0 for a.
-2315, 1
Determine s, given that -2*s**3 + 4*s**2 + 168*s - 720 = 0.
-10, 6
Factor 2*z**4 - 32*z**3 + 106*z**2 + 140*z.
2*z*(z - 10)*(z - 7)*(z + 1)
Solve -o**2 - 3268*o - 2669956 = 0 for o.
-1634
Factor 2*g**3 - 10*g**2 + 16*g - 8.
2*(g - 2)**2*(g - 1)
Factor -4*p**2 - 40*p + 44.
-4*(p - 1)*(p + 11)
Let -6*s**2 + 5487*s - 2742 = 0. Calculate s.
1/2, 914
Solve 2*z**4 - 2*z**3 - 60*z**2 - 152*z - 112 = 0 for z.
-2, 7
Factor 2*x**4/9 - 2*x**3/3 + 2*x**2/3 - 2*x/9.
2*x*(x - 1)**3/9
Solve 3*n**2/5 + 1077*n/5 - 216 = 0 for n.
-360, 1
Let -3*y**3 + 399*y**2 + 834*y - 3240 = 0. What is y?
-4, 2, 135
Suppose -4*c**3 - 772*c**2 + 2352*c = 0. Calculate c.
-196, 0, 3
Determine c so that -15*c**2/7 - 69*c/7 - 54/7 = 0.
-18/5, -1
Factor d**2/2 - 1348*d + 908552.
(d - 1348)**2/2
Find k such that 5*k**2 - 720*k + 15795 = 0.
27, 117
Factor -z**4/3 - 43*z**3/3 - 78*z**2 - 452*z/3 - 296/3.
-(z + 2)**3*(z + 37)/3
Determine z so that 100*z**5 + 680*z**4 - 2604*z**3 - 5984*z**2 - 3376*z - 576 = 0.
-9, -1, -2/5, 4
Solve -3*l**5 + 39*l**4 + 93*l**3 - 39*l**2 - 90*l = 0 for l.
-2, -1, 0, 1, 15
Find y such that -2*y**3/17 + 42*y**2/17 - 112*y/17 + 72/17 = 0.
1, 2, 18
Factor 5*y**2 - 24240*y + 29378880.
5*(y - 2424)**2
Solve -10*s**2 + 85*s - 105 = 0.
3/2, 7
Determine x so that -6*x**5 - 87*x**4 + 54*x**3 + 132*x**2 - 48*x - 45 = 0.
-15, -1, -1/2, 1
What is q in q**2 - 5754*q + 8277129 = 0?
2877
Determine t so that 6*t**4/11 - 102*t**3/11 + 630*t**2/11 - 1674*t/11 + 1620/11 = 0.
3, 5, 6
Factor b**2/4 + 299*b/2 + 298.
(b + 2)*(b + 596)/4
Suppose -s**5 + 110*s**4 + 113*s**3