0
Determine z so that -2*z**2/5 + 18*z/5 - 16/5 = 0.
1, 8
Find d such that d**3/4 - 5*d**2/4 - 9*d = 0.
-4, 0, 9
Find o such that 3*o**2 - 57*o - 60 = 0.
-1, 20
Let q**4/5 - 7*q**3 - 56*q**2 - 116*q - 336/5 = 0. What is q?
-4, -2, -1, 42
Factor -4*s**3 - 28*s**2 - 56*s - 32.
-4*(s + 1)*(s + 2)*(s + 4)
Factor -4*s**4 - 440*s**3 + 1348*s**2 - 904*s.
-4*s*(s - 2)*(s - 1)*(s + 113)
Suppose -4*l**2/7 + 60*l - 416/7 = 0. Calculate l.
1, 104
Factor -41*w**3/2 + 84*w**2 - 139*w/2 + 6.
-(w - 3)*(w - 1)*(41*w - 4)/2
Factor -k**3/3 + 1301*k**2/3 + 2606*k/3.
-k*(k - 1303)*(k + 2)/3
Factor -6*t**2/5 - 162*t/5 - 60.
-6*(t + 2)*(t + 25)/5
Factor -2*c**3/13 - 22*c**2/13 + 8*c + 280/13.
-2*(c - 5)*(c + 2)*(c + 14)/13
Suppose -5*f**4 - 480*f**3 - 1860*f**2 - 1840*f = 0. What is f?
-92, -2, 0
Find r such that 2*r**3/3 - 698*r**2/3 + 1390*r/3 - 694/3 = 0.
1, 347
Factor -2*p**3/7 - 36*p**2/7 + 122*p/7 - 12.
-2*(p - 2)*(p - 1)*(p + 21)/7
Solve -4*z**4 - 92*z**3 + 696*z**2 = 0 for z.
-29, 0, 6
Let -80*v**4 - 760*v**3 + 5235*v**2 + 2755*v + 350 = 0. What is v?
-14, -1/4, 5
Determine n so that n**2/9 - 2*n = 0.
0, 18
Factor -2*k**3/17 - 22*k**2/17 - 20*k/17.
-2*k*(k + 1)*(k + 10)/17
Determine f, given that -f**4 - 15*f**3 - 39*f**2 - 37*f - 12 = 0.
-12, -1
Solve -5*m**2 - 675*m + 2070 = 0.
-138, 3
Factor -i**3 + 20*i**2 - 93*i + 126.
-(i - 14)*(i - 3)**2
Find j, given that -2*j**2 - 264*j - 262 = 0.
-131, -1
Solve -p**4 + 3*p**3 + 30*p**2 - 128*p + 96 = 0.
-6, 1, 4
Determine m so that 4*m**2 + 1072*m - 1076 = 0.
-269, 1
Factor -3*p**5/4 + 15*p**4/4 - 27*p**3/4 + 21*p**2/4 - 3*p/2.
-3*p*(p - 2)*(p - 1)**3/4
Determine b so that -b**4/2 + 4*b**3 - 15*b**2/2 = 0.
0, 3, 5
Let -2*s**2/19 - 148*s/19 - 938/19 = 0. Calculate s.
-67, -7
Let 6*a**3 + 274*a**2/5 + 276*a/5 + 32/5 = 0. Calculate a.
-8, -1, -2/15
What is s in 2*s**2/3 + 28*s/3 - 10 = 0?
-15, 1
Let 4*p**5 - 28*p**4 + 48*p**3 + 16*p**2 - 64*p = 0. What is p?
-1, 0, 2, 4
Factor q**5 + 10*q**4 + 36*q**3 + 58*q**2 + 43*q + 12.
(q + 1)**3*(q + 3)*(q + 4)
Suppose 8*g**3/3 + 32*g**2/3 + 6*g - 6 = 0. What is g?
-3, -3/2, 1/2
Find j, given that -3*j**2 - 270*j - 1512 = 0.
-84, -6
Find t, given that t**3 + 102*t**2 - 420*t + 424 = 0.
-106, 2
Factor 2*s**2/3 - 1100*s/3 + 151250/3.
2*(s - 275)**2/3
Factor 2*u**5 + 70*u**4 + 750*u**3 + 2250*u**2.
2*u**2*(u + 5)*(u + 15)**2
Determine a so that 14*a**5/5 - 2932*a**4/5 + 31118*a**3 - 217568*a**2/5 + 64896*a/5 = 0.
0, 3/7, 1, 104
Suppose 25*y**4 + 365*y**3 + 150*y**2 - 820*y + 280 = 0. Calculate y.
-14, -2, 2/5, 1
Factor 3*x**4/4 + 93*x**3/4 + 129*x**2/2 + 42*x.
3*x*(x + 1)*(x + 2)*(x + 28)/4
Find w, given that w**5/5 + 11*w**4/5 + 19*w**3/5 + 9*w**2/5 = 0.
-9, -1, 0
Factor -3*r**3/5 + 36*r/5 + 48/5.
-3*(r - 4)*(r + 2)**2/5
Factor -3*v**5/2 + 53*v**4/2 - 225*v**3/2 - 81*v**2/2.
-v**2*(v - 9)**2*(3*v + 1)/2
Factor -r**2 + 16*r - 15.
-(r - 15)*(r - 1)
Find n, given that -2*n**3 + 10*n**2 + 16*n - 24 = 0.
-2, 1, 6
Find p, given that p**3/3 + 141*p**2 + 19881*p + 934407 = 0.
-141
Determine k, given that 4*k**3 - 20*k**2 - 32*k + 48 = 0.
-2, 1, 6
Factor 15*h**2 - 396*h - 243.
3*(h - 27)*(5*h + 3)
Let c**2/6 - 8*c + 47/6 = 0. What is c?
1, 47
Factor -b**2 + b + 2.
-(b - 2)*(b + 1)
What is n in -3*n**4 - 39*n**3 - 33*n**2 + 39*n + 36 = 0?
-12, -1, 1
Factor -2*j**3/15 + 20*j**2/3 - 64*j/5.
-2*j*(j - 48)*(j - 2)/15
What is n in -n**5 - 8*n**4 + 11*n**3 + 18*n**2 = 0?
-9, -1, 0, 2
Factor -33*z**2/7 - 81*z - 102/7.
-3*(z + 17)*(11*z + 2)/7
Factor g**2 - 390*g + 38025.
(g - 195)**2
Determine u, given that 2*u**2/13 - 200*u/13 + 198/13 = 0.
1, 99
Factor -21*a**2/5 - 57*a/5 + 18/5.
-3*(a + 3)*(7*a - 2)/5
Factor -w**3 + 7*w**2 - 4*w - 12.
-(w - 6)*(w - 2)*(w + 1)
What is s in -8*s**2/7 + 954*s/7 - 34 = 0?
1/4, 119
Determine s, given that -2*s**3 - 108*s**2 + 122*s + 660 = 0.
-55, -2, 3
Factor 5*z**2 + 35*z - 600.
5*(z - 8)*(z + 15)
Factor w**5/6 - w**4/3 - 5*w**3/2 - 2*w**2/3 + 10*w/3.
w*(w - 5)*(w - 1)*(w + 2)**2/6
Factor 2*l**3/3 - 10*l**2 + 36*l - 80/3.
2*(l - 10)*(l - 4)*(l - 1)/3
Factor h**3 - 7*h**2.
h**2*(h - 7)
Factor -4*n**3 - 28*n**2 + 32*n.
-4*n*(n - 1)*(n + 8)
Solve -2*w**2/3 + 700*w - 183750 = 0.
525
Factor -q**2 - 3588*q.
-q*(q + 3588)
Solve p**4 - p**3 - 4*p**2 + 4*p = 0.
-2, 0, 1, 2
Factor -d**2 + 816*d - 166464.
-(d - 408)**2
Factor -392*d**3 + 336*d**2 + 54*d + 2.
-2*(d - 1)*(14*d + 1)**2
Find r, given that -5*r**3 - 400*r**2 = 0.
-80, 0
Factor -2*k**3 + 5028*k**2 - 10050*k + 5024.
-2*(k - 2512)*(k - 1)**2
Factor 20*a**2 + 392*a - 160.
4*(a + 20)*(5*a - 2)
Suppose -t**5 + 15*t**4 + 74*t**3 + 42*t**2 - 73*t - 57 = 0. Calculate t.
-3, -1, 1, 19
Find k, given that 6*k**5 - 14*k**4 - 2*k**3 + 14*k**2 - 4*k = 0.
-1, 0, 1/3, 1, 2
Determine j so that 5*j**5 + 15*j**4 + 5*j**3 - 15*j**2 - 10*j = 0.
-2, -1, 0, 1
Determine b, given that -2*b**3/9 + 4*b**2/9 + 10*b/3 = 0.
-3, 0, 5
Determine w so that 2*w**2/3 + 36*w + 486 = 0.
-27
Suppose -28*z**2 - 3716*z + 1064 = 0. What is z?
-133, 2/7
Suppose 4*r**4 + 72*r**3 + 68*r**2 = 0. What is r?
-17, -1, 0
Find i such that -63*i**5/8 + 2103*i**4/8 + 2949*i**3/4 + 399*i**2/2 - 375*i - 108 = 0.
-2, -1, -2/7, 2/3, 36
Factor 3*x**2 + 270*x + 267.
3*(x + 1)*(x + 89)
Factor -3*p**3/5 - 6*p**2/5 + 9*p.
-3*p*(p - 3)*(p + 5)/5
Determine n so that n**4/3 + 2*n**3/3 - 16*n**2 = 0.
-8, 0, 6
Factor -5*b**3/2 + 15*b**2/4 + 55*b/4 - 15/2.
-5*(b - 3)*(b + 2)*(2*b - 1)/4
Factor 4*j**4 + 3808*j**3 + 1217160*j**2 + 133358400*j + 875164500.
4*(j + 7)*(j + 315)**3
What is q in -2*q**2/3 - 3586*q/3 = 0?
-1793, 0
Determine d, given that -23*d**5/4 + 1427*d**4/2 - 8597*d**3/4 + 317*d**2/2 + 2785*d - 242 = 0.
-1, 2/23, 2, 121
Suppose 14*x**4/3 - 88*x**3/3 - 536*x**2/3 + 160*x/3 = 0. What is x?
-4, 0, 2/7, 10
Solve -16*v**2 + 7026*v - 878 = 0.
1/8, 439
Solve 6*c**5/11 + 148*c**4/11 + 346*c**3/11 - 12*c**2 = 0.
-22, -3, 0, 1/3
Let -4*p**4 - 76*p**3 + 256*p**2 - 176*p = 0. What is p?
-22, 0, 1, 2
Let 3*j**2 - 51*j + 210 = 0. What is j?
7, 10
Factor f**3 + 40*f**2 + 144*f.
f*(f + 4)*(f + 36)
Factor 4*c**4 - 20*c**3 - 52*c**2 - 28*c.
4*c*(c - 7)*(c + 1)**2
Solve 3*b**3/5 - 3*b**2/5 - 12*b/5 + 12/5 = 0 for b.
-2, 1, 2
Factor -4*o**4 - 12*o**3 - 8*o**2.
-4*o**2*(o + 1)*(o + 2)
Let 2*u**4 + 8*u**3 + 6*u**2 - 8*u - 8 = 0. What is u?
-2, -1, 1
Suppose k**3/3 - 4*k**2/3 - 28*k/3 - 32/3 = 0. Calculate k.
-2, 8
Determine t, given that -t**2/4 - 337*t/4 - 1053 = 0.
-324, -13
Let -4*j**3 - 96*j**2 + 6144*j + 163840 = 0. Calculate j.
-32, 40
What is p in 2*p**2/13 - 510*p/13 - 512/13 = 0?
-1, 256
What is w in -w**4 - 18*w**3 - 33*w**2 - 16*w = 0?
-16, -1, 0
Let 12*s**4 + 5068*s**3 + 6743*s**2 + 2948*s + 421 = 0. Calculate s.
-421, -1/2, -1/3
Factor 3*m**5 + 1494*m**4 - 6012*m**3 + 6024*m**2.
3*m**2*(m - 2)**2*(m + 502)
Factor -128*n**2 - 32*n/3 - 2/9.
-2*(24*n + 1)**2/9
Factor -2*j**3/11 - 334*j**2/11 - 1950*j/11 - 2898/11.
-2*(j + 3)**2*(j + 161)/11
Factor -2*f**5/3 - 16*f**4/3 - 12*f**3 - 32*f**2/3 - 10*f/3.
-2*f*(f + 1)**3*(f + 5)/3
Let -2*q**3/3 + 112*q**2/3 - 686*q/3 = 0. What is q?
0, 7, 49
Factor 5*f**3 - 35*f**2 - 350*f - 520.
5*(f - 13)*(f + 2)*(f + 4)
Solve -t**3/3 - 367*t**2/3 - 33488*t/3 + 33856/3 = 0 for t.
-184, 1
Factor t**2/5 + 79*t/5 + 78/5.
(t + 1)*(t + 78)/5
Factor 2*q**3/7 + 50*q**2/7 - 52*q/7.
2*q*(q - 1)*(q + 26)/7
Suppose -2*w**2 + 52*w = 0. Calculate w.
0, 26
Determine j so that 4*j**4 + 125*j**3 - 105*j**2 - 290*j - 64 = 0.
-32, -1, -1/4, 2
Factor 69*f**4 - 270*f**3 - 24*f**2.
3*f**2*(f - 4)*(23*f + 2)
Factor -4*o**4 - 36*o**3 - 28*o**2 + 36*o + 32.
-4*(o - 1)*(o + 1)**2*(o + 8)
Factor v**3 + 3*v**2 - 10*v - 24.
(v - 3)*(v + 2)*(v + 4)
Factor 2*q**4/11 + 128*q**3/11 + 1776*q**2/11 - 8704*q/11 + 9248/11.
2*(q - 2)**2*(q + 34)**2/11
Suppose -3*l**2 + 108*l + 111 = 0. What is l?
-1, 37
What is p in -p**4 - 17*p**3/2 - 11*p**2 - 7*p/2 = 0?
-7, -1, -1/2, 0
Find g, given that -3*g**5/2 - 12*g**4 + 27*g**3 + 138*g**2 + 309*g/2 + 54 = 0.
-9, -1, 4
Factor -2*b**2 + 42*b - 76.
-2*(b - 19)*(b - 2)
Determine t, given that 2*t**3/15 + 28*t**2/15 - 98*t/15 + 68/15 = 0.
-17, 1, 2
Solve 2*u**4 - 2*u**3 = 0 for u.
0, 1
Find q, given that -6*q**5/5 - 16*q**4/5 - 12*q**3/5 + 2*q/5 = 0.
-1, 0, 1/3
Factor x**3 - 19*x**2 - 50*x + 168.
(x - 21)*(x - 2)*(x + 4)
Suppose z**2 - 35*z -