
-14, -3, 1
Factor -2*p**4 + 1111*p**3/2 - 38503*p**2 - 19321*p/2.
-p*(p - 139)**2*(4*p + 1)/2
Find f such that -f**2/3 + 40*f - 119/3 = 0.
1, 119
Factor -5*a**2/3 + 5*a/3.
-5*a*(a - 1)/3
Factor r**2/6 - 10*r + 150.
(r - 30)**2/6
Suppose -n**5/6 - 13*n**4/6 - 19*n**3/6 + 37*n**2/6 + 20*n/3 - 22/3 = 0. Calculate n.
-11, -2, 1
Factor -3*b**4 - 33*b**3 - 60*b**2 + 96*b.
-3*b*(b - 1)*(b + 4)*(b + 8)
Suppose 4*f**3 - 23*f**2 + 30*f + 9 = 0. Calculate f.
-1/4, 3
Suppose -2*s**2/5 - 1028*s/5 - 132098/5 = 0. Calculate s.
-257
Let 8*o**4/7 + 54*o**3/7 + 74*o**2/7 + 18*o/7 - 10/7 = 0. What is o?
-5, -1, 1/4
Find y such that 2*y**2 - 46*y + 44 = 0.
1, 22
Factor 2*x**2 - 48*x + 190.
2*(x - 19)*(x - 5)
Factor u**5/7 - 6*u**4/7 + 11*u**3/7 - 2*u**2/7 - 12*u/7 + 8/7.
(u - 2)**3*(u - 1)*(u + 1)/7
Find b, given that -b**5 + 2*b**4 + 3*b**3 - 4*b**2 - 4*b = 0.
-1, 0, 2
Factor -2*y**3/5 - 10*y**2 - 94*y/5 - 46/5.
-2*(y + 1)**2*(y + 23)/5
Find l, given that 2*l**2 - 970*l - 3912 = 0.
-4, 489
Factor -2*v**4.
-2*v**4
Suppose 2*a**4/3 + 4*a**3/3 - 2*a**2 - 16*a/3 - 8/3 = 0. Calculate a.
-2, -1, 2
Factor -3*d**5 - 3*d**4 + 18*d**3.
-3*d**3*(d - 2)*(d + 3)
Factor h**3/5 - 69*h**2 + 29928*h/5 - 29584/5.
(h - 172)**2*(h - 1)/5
What is k in k**2 - 56*k - 57 = 0?
-1, 57
Solve -5*i**2 - 35*i + 490 = 0 for i.
-14, 7
Factor -a**5 + 16*a**4 - 14*a**3 - 16*a**2 + 15*a.
-a*(a - 15)*(a - 1)**2*(a + 1)
Determine l so that 4*l**4 + 52*l**3 + 180*l**2 + 44*l - 280 = 0.
-7, -5, -2, 1
Suppose -d**2/2 - 49*d - 97/2 = 0. Calculate d.
-97, -1
Factor 4*b**3/3 + 5*b**2 - 4*b/3.
b*(b + 4)*(4*b - 1)/3
What is l in -l**2 + 39*l + 40 = 0?
-1, 40
What is l in 5*l**2 + 9130*l = 0?
-1826, 0
Find h such that -2*h**5/5 + 4*h**4/5 + 26*h**3/5 - 52*h**2/5 - 72*h/5 + 144/5 = 0.
-3, -2, 2, 3
Find r, given that -2*r**5 - 38*r**4 + 62*r**3 + 3302*r**2 + 6084*r = 0.
-13, -2, 0, 9
Let -5*f**3 + 60*f**2 - 240*f + 320 = 0. What is f?
4
Find q, given that -2*q**2 - 2112*q - 557568 = 0.
-528
Suppose m**2/2 + 30*m + 59/2 = 0. What is m?
-59, -1
Factor i**2 - 19*i + 48.
(i - 16)*(i - 3)
Determine y, given that -2*y**4 + 6*y**3 + 8*y**2 - 24*y = 0.
-2, 0, 2, 3
Factor -7*j**3 + 184*j**2 + 137*j - 54.
-(j - 27)*(j + 1)*(7*j - 2)
Suppose -2*n**3/3 - 4*n**2/3 - 2*n/3 = 0. Calculate n.
-1, 0
Factor -2*f**3/5 + 228*f**2/5 - 8664*f/5 + 109744/5.
-2*(f - 38)**3/5
Solve 5*b**5/4 - 520*b**4 + 81120*b**3 - 5624320*b**2 + 146232320*b = 0.
0, 104
Suppose 64*f**4/5 - 736*f**3/5 - 2588*f**2/5 + 5016*f/5 - 2016/5 = 0. Calculate f.
-4, 3/4, 14
Factor n**3 - 72*n**2 - 223*n - 150.
(n - 75)*(n + 1)*(n + 2)
What is a in 5*a**5 - 40*a**4 + 45*a**3 + 250*a**2 - 320*a - 480 = 0?
-2, -1, 3, 4
Factor v**3/10 - 38*v**2/5 - v/10 + 38/5.
(v - 76)*(v - 1)*(v + 1)/10
Factor 2*w**2 + 38*w - 132.
2*(w - 3)*(w + 22)
Factor 4*s**2 + 720*s + 32400.
4*(s + 90)**2
Suppose v**3 + 8*v**2 + 16*v = 0. What is v?
-4, 0
Factor -2*u**2 + 6424*u - 5158472.
-2*(u - 1606)**2
Determine s, given that -2*s**3/3 - 70*s**2/3 - 256*s/3 - 248/3 = 0.
-31, -2
Let 2*q**5 - 84*q**4 - 4*q**3 + 168*q**2 + 2*q - 84 = 0. Calculate q.
-1, 1, 42
Factor l**3/7 - 4*l**2 + 100*l/7 - 96/7.
(l - 24)*(l - 2)**2/7
Factor -i**3/3 - 38*i**2/3 + 85*i - 132.
-(i - 3)**2*(i + 44)/3
Suppose 2*q**3/5 + 106*q**2/5 - 2*q/5 - 106/5 = 0. What is q?
-53, -1, 1
Factor -2*l**3/7 + 10*l**2/7 - 2*l + 6/7.
-2*(l - 3)*(l - 1)**2/7
Factor v**2/12 + 3*v/2 - 10/3.
(v - 2)*(v + 20)/12
Find i, given that i**3/6 + 101*i**2/2 - 305*i/3 = 0.
-305, 0, 2
Factor -2*d**5/7 - 4*d**4/7.
-2*d**4*(d + 2)/7
Solve x**4 - 125*x**3 + 123*x**2 + 125*x - 124 = 0.
-1, 1, 124
Find p, given that -16*p**2 - 28*p - 12 = 0.
-1, -3/4
Solve b**2/4 + 1219*b + 1485961 = 0 for b.
-2438
Determine k so that k**4 - 3*k**3 - k**2 + 3*k = 0.
-1, 0, 1, 3
Determine n so that -n**2/6 + 11*n/3 + 25/2 = 0.
-3, 25
Suppose -4*h**4/5 - 24*h**3/5 + 108*h**2/5 = 0. What is h?
-9, 0, 3
Factor f**2/4 + 14*f + 196.
(f + 28)**2/4
Factor 4*g**2 + 12*g - 72.
4*(g - 3)*(g + 6)
Suppose 2*p**3/9 + 4*p**2/9 + 2*p/9 = 0. Calculate p.
-1, 0
Determine p so that p**5 + 146*p**4 + 5465*p**3 + 9364*p**2 - 35712*p + 20736 = 0.
-72, -4, 1
What is o in 38*o**2 + 18*o = 0?
-9/19, 0
Factor -c**3/6 - c**2/3 + 2*c/3 + 4/3.
-(c - 2)*(c + 2)**2/6
Determine d so that -3*d**2 - 8298*d - 5738067 = 0.
-1383
Factor 2*a**4 - 8*a**3 + 4*a**2 + 8*a - 6.
2*(a - 3)*(a - 1)**2*(a + 1)
Suppose -2438900*n**4 + 9705140*n**3 + 201492*n**2 + 6956*n/5 + 16/5 = 0. Calculate n.
-1/145, 4
Factor -2*l**4 - 182*l**3 - 702*l**2 - 522*l.
-2*l*(l + 1)*(l + 3)*(l + 87)
Solve 8*d**5 + 4*d**4 - 36*d**3 - 16*d**2 + 16*d = 0 for d.
-2, -1, 0, 1/2, 2
Suppose 4*z**2/23 + 426*z/23 + 212/23 = 0. Calculate z.
-106, -1/2
Factor -9*l**3 - 12*l**2 + 105*l + 36.
-3*(l - 3)*(l + 4)*(3*l + 1)
Factor m**2/3 + 39*m - 118/3.
(m - 1)*(m + 118)/3
Let t**2/3 - t/3 - 4 = 0. Calculate t.
-3, 4
Solve g**4/4 - 5*g**3/4 + g**2/2 + 5*g - 6 = 0 for g.
-2, 2, 3
Factor -a**2 - 2126*a - 2125.
-(a + 1)*(a + 2125)
Determine v so that -38*v**2/7 + 12*v/7 = 0.
0, 6/19
Let -294*r**4 + 9975*r**3 - 76779*r**2 - 133176*r - 46128 = 0. What is r?
-1, -1/2, 124/7
Factor -r**2 + 11*r + 26.
-(r - 13)*(r + 2)
Find h such that 35*h**5 - 65*h**4 - 530*h**3 + 1040*h**2 - 480*h = 0.
-4, 0, 6/7, 1, 4
Let -t**4/4 + 53*t**3/2 - 2701*t**2/4 - 1431*t - 729 = 0. Calculate t.
-1, 54
Solve -3*k**3 - 75*k**2 - 204*k - 132 = 0 for k.
-22, -2, -1
Factor l**3 - 89*l**2 + 88*l.
l*(l - 88)*(l - 1)
Let -w**5/3 - 166*w**4/3 - 2239*w**3 + 4872*w**2 + 7056*w = 0. Calculate w.
-84, -1, 0, 3
Determine t so that -2*t**4 + 736*t**3 - 90036*t**2 + 3630960*t + 3721734 = 0.
-1, 123
Factor -5*k**4 - 15*k**3 + 210*k**2 + 860*k + 840.
-5*(k - 7)*(k + 2)**2*(k + 6)
Factor -3*f**3/4 + 819*f**2/4 - 3237*f/4 + 2421/4.
-3*(f - 269)*(f - 3)*(f - 1)/4
Find a such that a**5/7 - 68*a**4/7 + 769*a**3/7 - 702*a**2/7 = 0.
0, 1, 13, 54
What is c in 12*c**4 + 748*c**3 - 516*c**2 - 748*c + 504 = 0?
-63, -1, 2/3, 1
Factor -2*u**4/7 + 36*u**3/7 + 24*u**2 + 176*u/7.
-2*u*(u - 22)*(u + 2)**2/7
Find a, given that a**4 - 22*a**3 + 40*a**2 = 0.
0, 2, 20
Find z such that 3*z**4 - 27*z**3 + 21*z**2 + 135*z + 84 = 0.
-1, 4, 7
Let -k**5/2 - 4*k**4 + 3*k**3 + 46*k**2 - 5*k/2 - 42 = 0. What is k?
-7, -4, -1, 1, 3
Factor 2*z**3/21 + 2*z**2/21 - 2*z/21 - 2/21.
2*(z - 1)*(z + 1)**2/21
Factor -2*s**3 + 86*s**2 + 178*s + 90.
-2*(s - 45)*(s + 1)**2
Factor 5*k**3 - 335*k**2 + 6600*k - 31500.
5*(k - 30)**2*(k - 7)
Factor f**4/6 + 33*f**3 + 2178*f**2 + 47916*f.
f*(f + 66)**3/6
Factor -2*p**3/3 + 40*p**2/3 + 202*p/3 - 80.
-2*(p - 24)*(p - 1)*(p + 5)/3
What is l in -l**3 - 128*l**2 - 4096*l = 0?
-64, 0
Solve -5*c**4 - 1650*c**3 - 101165*c**2 + 5768400*c - 61110080 = 0.
-184, 19
What is k in 2*k**3 + 2*k**2 - 4*k = 0?
-2, 0, 1
Factor -2*p**2/7 - 4*p/7 + 6/7.
-2*(p - 1)*(p + 3)/7
What is r in r**4/6 - 143*r**3/3 + 4606*r**2 - 468308*r/3 + 1661168/3 = 0?
4, 94
Determine h so that 441*h**5 - 9548*h**4 + 5853*h**3 + 3666*h**2 - 244*h - 168 = 0.
-2/7, 2/9, 1, 21
Suppose -j**5/4 - 5*j**4/4 - 7*j**3/4 - 3*j**2/4 = 0. What is j?
-3, -1, 0
Factor 3*j**5 + 33*j**4 - 159*j**3 - 1161*j**2 + 6480*j - 8100.
3*(j - 3)**3*(j + 10)**2
Factor 2*n**2/19 - 106*n/19 + 104/19.
2*(n - 52)*(n - 1)/19
Suppose -t**3/4 - 11*t**2/4 + t/4 + 11/4 = 0. What is t?
-11, -1, 1
Solve -5*s**3 - 355*s**2 - 5320*s + 36100 = 0.
-38, 5
Factor -3*w**4 + 5*w**3 + 3*w**2 - 9*w + 4.
-(w - 1)**3*(3*w + 4)
Determine c, given that -2*c**2/9 - 20*c/9 - 2 = 0.
-9, -1
Factor o**2/4 + 87*o/2 - 175/4.
(o - 1)*(o + 175)/4
Factor -2*z**3/7 + 136*z**2/7 - 960*z/7.
-2*z*(z - 60)*(z - 8)/7
Let -k**3/3 - 122*k**2/3 - 3328*k/3 + 8192 = 0. What is k?
-64, 6
Factor -2*a**3/11 - 4*a**2/11 + 70*a/11.
-2*a*(a - 5)*(a + 7)/11
Factor o**3 - 211*o**2 + 841*o/4 - 105/2.
(o - 210)*(2*o - 1)**2/4
Let -5*y**5 + 45*y**4 + 70*y**3 - 180*y**2 - 200*y = 0. What is y?
-2, -1, 0, 2, 10
Solve 2*x**3 - 10*x**2 - 154*x + 882 = 0.
-9, 7
Let 2*m**4/5 - 11*m**3/5 + 21*m**2/5 - 16*m/5 + 4/5 = 0. What is m?
1/2, 1, 2
Suppose w**2/2 + 11*w/4 - 51/4 = 0. What is w?
-17/2, 3
Determine p, given that -2*p**3/3 + 4*p**2/3 = 0.
0, 2
Factor -147*u**4 - 1260*u**3 - 3036*u**2 - 1440*u - 192.
-3*(u + 4)**2*(7*u + 2)**2
What is y in 4*y**3 - 304*y**2 + 300*y = 0?
0, 1, 75
Determine n, given that 4*n**