g**3 + 9784*g**2 + 11460*g + 4100 = 0. Calculate g.
-1, 5, 205
Find f, given that -36*f**4 - 280*f**3 + 748*f**2 - 512*f + 80 = 0.
-10, 2/9, 1
Factor -12*d**3 - 332*d**2 + 460*d - 116.
-4*(d - 1)*(d + 29)*(3*d - 1)
Let -b**2/5 - 1898*b/5 - 900601/5 = 0. What is b?
-949
Factor -2*i**2/7 + 26*i/7 - 24/7.
-2*(i - 12)*(i - 1)/7
Find i, given that i**3/11 + 189*i**2/11 + 1107*i/11 + 1647/11 = 0.
-183, -3
Factor 3*m**2/2 + 75*m/2.
3*m*(m + 25)/2
Factor 4*x**5 + 12*x**4 - 16*x**3 - 48*x**2.
4*x**2*(x - 2)*(x + 2)*(x + 3)
Factor -l**3 - 18*l**2 + 16*l + 288.
-(l - 4)*(l + 4)*(l + 18)
Suppose 2*h**5/15 + 4*h**4/15 - 4*h**2/15 - 2*h/15 = 0. Calculate h.
-1, 0, 1
Factor -3*l**2 - 384*l - 12288.
-3*(l + 64)**2
Find z, given that z**2/7 - 75*z/7 - 76/7 = 0.
-1, 76
Let -2*p**5/15 - 8*p**4/5 + 208*p**3/15 - 52*p**2/5 - 206*p/15 + 12 = 0. Calculate p.
-18, -1, 1, 5
Find j such that 2*j**5/9 - 2*j**4/3 - 10*j**3/9 + 2*j**2/3 + 8*j/9 = 0.
-1, 0, 1, 4
Suppose 2*q**2/7 + 72*q/7 + 576/7 = 0. Calculate q.
-24, -12
What is p in -64*p**4 + 48*p**3 - 9*p**2 = 0?
0, 3/8
Solve -4*w**2/5 - 1808*w/5 - 720 = 0.
-450, -2
Suppose -5*r**4 + 65*r**3 + 75*r**2 - 65*r - 70 = 0. Calculate r.
-1, 1, 14
Determine q so that -q**4/2 + 29*q**3/2 - 112*q**2 + 98*q = 0.
0, 1, 14
Factor i**3/6 - 53*i**2/6 + 931*i/6 - 1805/2.
(i - 19)**2*(i - 15)/6
Factor c**2 - 2510*c + 1575025.
(c - 1255)**2
Factor 2*i**4/5 + 28*i**3/5 + 72*i**2/5 + 68*i/5 + 22/5.
2*(i + 1)**3*(i + 11)/5
What is x in -30*x**2 - 2795*x - 465 = 0?
-93, -1/6
Solve 2*y**2/15 + 324*y/5 + 39366/5 = 0.
-243
Factor 4*q**3 - 276*q**2 + 6348*q - 48668.
4*(q - 23)**3
Let -2*v**5 + 14*v**4 + 1200*v**3 + 8928*v**2 = 0. Calculate v.
-12, 0, 31
Solve -241*l**3/2 + 361*l**2 - 479*l/2 - 1 = 0 for l.
-1/241, 1, 2
Factor y**5/4 - 5*y**4/4 + y**3/2 + 5*y**2 - 6*y.
y*(y - 3)*(y - 2)**2*(y + 2)/4
Suppose 4*q**4 - 80*q**3 + 472*q**2 - 720*q + 324 = 0. What is q?
1, 9
Factor -m**4/8 - 5*m**3/8 + 3*m**2/4 + 4*m - 4.
-(m - 2)*(m - 1)*(m + 4)**2/8
Factor -3*y**4 - 95*y**3 - 943*y**2 - 2717*y + 1014.
-(y + 6)*(y + 13)**2*(3*y - 1)
Find h such that 3*h**2 + 339*h - 690 = 0.
-115, 2
What is s in 2*s**5/9 + 2*s**4/9 - 10*s**3/9 + 2*s**2/3 = 0?
-3, 0, 1
Find v, given that 2*v**3 - 68*v**2 + 504*v + 1296 = 0.
-2, 18
What is f in f**2/2 + 7*f/2 - 4 = 0?
-8, 1
Let -4*b**5/3 + 8*b**4 + 308*b**3/3 + 232*b**2 + 416*b/3 = 0. Calculate b.
-4, -2, -1, 0, 13
Factor 2*m**5/7 + 2344*m**4/7 + 912584*m**3/7 + 16684864*m**2 - 68314624*m + 68841472.
2*(m - 2)**2*(m + 392)**3/7
Solve 3*f**2 + 1539*f - 1542 = 0.
-514, 1
Factor -3*n**2/5 + 5178*n/5.
-3*n*(n - 1726)/5
Factor f**2 + 200*f - 201.
(f - 1)*(f + 201)
Factor -3*s**2 + 2196*s - 401868.
-3*(s - 366)**2
Solve 2*t**4/7 + 360*t**3/7 + 16904*t**2/7 + 63360*t/7 + 61952/7 = 0.
-88, -2
Find j such that -2*j**2/7 - 2960*j/7 = 0.
-1480, 0
Factor -3*t**2/8 + 11277*t/8.
-3*t*(t - 3759)/8
What is j in -j**4 + 159*j**3 - 7578*j**2 + 95620*j - 88200 = 0?
1, 18, 70
Find i, given that 2*i**2/3 - 398*i + 1192/3 = 0.
1, 596
Find t, given that 5*t**4/6 - 35*t**3/2 + 635*t**2/6 - 325*t/2 + 220/3 = 0.
1, 8, 11
Let 15*n**5 - 111*n**4 + 18*n**3 + 654*n**2 + 735*n + 225 = 0. Calculate n.
-1, -3/5, 5
Factor -2*p**3/7 - 60*p**2/7 - 346*p/7 - 552/7.
-2*(p + 3)*(p + 4)*(p + 23)/7
Suppose y**4 + 11*y**3 - 80*y**2 - 252*y + 720 = 0. Calculate y.
-15, -4, 2, 6
Determine o, given that 5*o**3 - 1385*o**2 + 96600*o - 95220 = 0.
1, 138
Suppose 6*d**5/5 + 18*d**4/5 + 12*d**3/5 = 0. What is d?
-2, -1, 0
Suppose -2*o**2/7 - 6*o = 0. What is o?
-21, 0
Suppose k**3/3 + 2*k**2/3 - 5*k/3 - 2 = 0. Calculate k.
-3, -1, 2
Factor -3*a**3 + 18*a**2 - 33*a + 18.
-3*(a - 3)*(a - 2)*(a - 1)
Let 3*g**4 - 60*g**3 + 57*g**2 = 0. Calculate g.
0, 1, 19
Suppose 4*k**5 + 32*k**4 - 80*k**3 + 8*k**2 + 76*k - 40 = 0. Calculate k.
-10, -1, 1
What is j in -2*j**4/21 + 26*j**3/7 - 118*j**2/7 + 482*j/21 - 68/7 = 0?
1, 3, 34
Let -2*c**5/9 - 8*c**4/3 + 4*c**3/3 + 160*c**2/9 + 22*c + 8 = 0. What is c?
-12, -1, 3
Find m such that 5*m**3 - 75*m**2 - 5*m + 75 = 0.
-1, 1, 15
Solve -3*l**3/4 - 1025*l**2/4 - 851*l/2 - 170 = 0.
-340, -1, -2/3
Find t, given that t**4/8 - 4*t**3 + 85*t**2/2 - 150*t = 0.
0, 10, 12
Factor 3*l**4 + 57*l**3 - 9*l**2 - 165*l + 114.
3*(l - 1)**2*(l + 2)*(l + 19)
Factor b**3/8 + 7*b**2/8 - 3*b - 45/2.
(b - 5)*(b + 6)**2/8
Factor -b**2/2 + 137*b - 18769/2.
-(b - 137)**2/2
Factor q**3/4 - 9*q**2/4 - 5*q/2.
q*(q - 10)*(q + 1)/4
Suppose 2*o**4/7 + 50*o**3/7 - 1056*o**2/7 - 26496*o/7 = 0. Calculate o.
-24, 0, 23
Factor 29*q**3 + 89*q**2 + 6*q.
q*(q + 3)*(29*q + 2)
Factor 6*z**2/13 + 10*z + 544/13.
2*(z + 16)*(3*z + 17)/13
Factor -3*g**4 + 624*g**3 - 32448*g**2.
-3*g**2*(g - 104)**2
Factor -4*i**4 - 20*i**3 - 28*i**2 - 12*i.
-4*i*(i + 1)**2*(i + 3)
Factor 2*r**5/9 - 4*r**4/3 - 32*r**3/9 - 4*r**2/9 + 10*r/3 + 16/9.
2*(r - 8)*(r - 1)*(r + 1)**3/9
Suppose -24*a**5 + 42*a**4 + 21*a**3 - 18*a**2 = 0. What is a?
-3/4, 0, 1/2, 2
Let -2*r**3/13 + 2*r/13 = 0. What is r?
-1, 0, 1
Find v such that -2*v**4 - 28*v**3 + 320*v**2 - 704*v = 0.
-22, 0, 4
Factor -s**3 + 84*s**2 - 1052*s - 2448.
-(s - 68)*(s - 18)*(s + 2)
Suppose -4*z**4/5 - 24*z**3/5 + 44*z**2/5 + 96*z/5 - 112/5 = 0. What is z?
-7, -2, 1, 2
What is c in 11*c**4/10 + c**3 - 6*c**2/5 - c + 1/10 = 0?
-1, 1/11, 1
Factor 2*s**4/5 + 1196*s**3/5 + 177602*s**2/5 - 71760*s + 36000.
2*(s - 1)**2*(s + 300)**2/5
Factor -4*l**2/5 - 1228*l/5 - 4848/5.
-4*(l + 4)*(l + 303)/5
Suppose -3*l**5/7 - 9*l**4 - 165*l**3/7 - 45*l**2/7 + 24*l + 108/7 = 0. What is l?
-18, -2, -1, 1
What is h in 3*h**4 - 33*h**3 + 54*h**2 = 0?
0, 2, 9
Find o such that -38*o**2/25 + 74*o/25 + 4/25 = 0.
-1/19, 2
Factor 2*c**2/3 - 38*c/3.
2*c*(c - 19)/3
Determine v so that v**3/2 + 541*v**2/4 + 269*v/4 - 135/2 = 0.
-270, -1, 1/2
Find w such that w**2/7 + 8*w + 112 = 0.
-28
Let 98*i**5/5 + 4676*i**4/5 - 21334*i**3/5 + 26192*i**2/5 - 6232*i/5 + 416/5 = 0. Calculate i.
-52, 1/7, 2
Let -2*c**2 - 10*c + 72 = 0. Calculate c.
-9, 4
What is n in -n**5 + 10*n**4 + 23*n**3 + 12*n**2 = 0?
-1, 0, 12
Factor 2*s**2/15 + 16*s - 242/15.
2*(s - 1)*(s + 121)/15
Factor -3*r**3 + 6*r**2 + 204*r + 360.
-3*(r - 10)*(r + 2)*(r + 6)
Factor 6*m**3/5 + 12*m**2/5 - 78*m/5 + 12.
6*(m - 2)*(m - 1)*(m + 5)/5
Suppose -18*q**2/5 + 58*q/15 - 4/15 = 0. Calculate q.
2/27, 1
Solve 8*f**5 + 12*f**4 - 8*f**3 - 16*f**2 + 4 = 0.
-1, 1/2, 1
Factor 3*w**3/4 - 21*w**2/4 + 6*w + 12.
3*(w - 4)**2*(w + 1)/4
What is h in h**5/6 + 109*h**4/2 - 220*h**3 + 662*h**2/3 = 0?
-331, 0, 2
Determine b, given that -2*b**4/11 + 4*b**3/11 + 16*b**2/11 = 0.
-2, 0, 4
Factor -m**4/4 - m**3/2 + 7*m**2/4 - m.
-m*(m - 1)**2*(m + 4)/4
Suppose -4*o**2 + 28*o = 0. Calculate o.
0, 7
Suppose 3*x**4 - 45*x**3 + 189*x**2 - 147*x = 0. What is x?
0, 1, 7
Factor 5*v**3 + 100*v**2 - 220*v.
5*v*(v - 2)*(v + 22)
Solve -5*w**4 + 15*w**3 + 20*w**2 = 0.
-1, 0, 4
What is y in 2*y**5/3 + 8*y**4/3 - 250*y**3 - 252*y**2 = 0?
-21, -1, 0, 18
Factor -5*o**3 + 235*o**2 + 1360*o - 121380.
-5*(o - 34)**2*(o + 21)
Let -26*d**2/3 - 100*d/3 + 16/3 = 0. What is d?
-4, 2/13
Factor 5*l**4/3 + 35*l**3/3 + 25*l**2 + 65*l/3 + 20/3.
5*(l + 1)**3*(l + 4)/3
Find z such that 2*z**5 + 10*z**4 + 14*z**3 + 6*z**2 = 0.
-3, -1, 0
What is h in -h**4/3 + 7*h**3/3 + 10*h**2/3 - 76*h/3 - 40 = 0?
-2, 5, 6
Determine h, given that -5*h**5 - 240*h**4 - 3750*h**3 - 19760*h**2 - 16245*h = 0.
-19, -9, -1, 0
Factor 5*j**3 - 85*j**2 + 150*j.
5*j*(j - 15)*(j - 2)
Let 2*d**5 - 40*d**4 + 320*d**3 - 1280*d**2 + 2560*d - 2048 = 0. What is d?
4
Determine i so that -3*i**4 - 45*i**3 - 252*i**2 - 624*i - 576 = 0.
-4, -3
Factor -2*u**3/7 + 384*u**2/7 - 216*u + 1504/7.
-2*(u - 188)*(u - 2)**2/7
Factor -5*m**3/2 + 45*m**2 - 435*m/2 + 275.
-5*(m - 11)*(m - 5)*(m - 2)/2
Let 3*m**4 + 6*m**3 - 45*m**2 + 12*m + 60 = 0. Calculate m.
-5, -1, 2
Factor -2*s**3/5 + 18*s**2/5 + 4*s.
-2*s*(s - 10)*(s + 1)/5
Factor 2*a**3 - 2040*a**2 + 4074*a - 2036.
2*(a - 1018)*(a - 1)**2
Factor 5*j**4 - 40*j**2 + 80.
5*(j - 2)**2*(j + 2)**2
Find k such that -51*k**4 - 246*k**3 - 363*k**2 - 132*k + 36 = 0.
-2, -1, 3/17
Factor -5*k**2 + 400*k - 8000.
-5*(k - 40)**2
Factor 175*s**2/2 + 355*s + 20.
5*(s + 4)*(35*s + 2)/2
Determine m, given that 2*m**2/19 - 108*m/19 + 106/19 = 0.
1, 53
Factor 5*d**3/3 + 65*d**2 + 1870*d/