, 1
Determine g, given that 3*g**4/2 + 6*g**3 - 9*g**2 - 6*g + 15/2 = 0.
-5, -1, 1
Determine k so that -2*k**5 + 44*k**4 - 140*k**3 - 1096*k**2 - 1586*k - 676 = 0.
-2, -1, 13
Suppose -q**2 - 88*q - 87 = 0. Calculate q.
-87, -1
Let -2*z**3/5 - 2*z**2/5 + 2*z - 6/5 = 0. What is z?
-3, 1
What is t in 12*t**3 - 51*t**2 + 48*t - 9 = 0?
1/4, 1, 3
Factor 4*l**4 + 108*l**3 + 808*l**2 + 2304*l + 2176.
4*(l + 2)*(l + 4)**2*(l + 17)
Let -50*p**3 + 3705*p**2 - 360*p - 740 = 0. What is p?
-2/5, 1/2, 74
Factor t**2 - 4073*t + 4072.
(t - 4072)*(t - 1)
Determine i so that i**2/2 + 4340*i + 9417800 = 0.
-4340
Factor -12*g**4 + 28*g**3 - 16*g**2.
-4*g**2*(g - 1)*(3*g - 4)
Find a such that 3*a**2 + 24*a + 36 = 0.
-6, -2
Suppose 2*x**3 + 342*x**2 + 19494*x + 370386 = 0. Calculate x.
-57
Determine f, given that -5*f**2 + 6545*f - 19590 = 0.
3, 1306
Find a, given that -12*a**2 + 152*a - 96 = 0.
2/3, 12
Find v, given that 15*v**2 + 475*v + 310 = 0.
-31, -2/3
Factor -729*y**4 - 11826*y**3 - 51660*y**2 - 29400*y.
-3*y*(3*y + 2)*(9*y + 70)**2
Factor 4*q**2 - 4988*q - 4992.
4*(q - 1248)*(q + 1)
Solve 4*o**4/7 - 12*o**3 + 84*o**2 - 196*o = 0.
0, 7
Suppose -16*g**5 - 104*g**4 - 121*g**3 + g**2 + 29*g - 5 = 0. What is g?
-5, -1, 1/4
What is l in l**4/4 - 4*l**3 - 17*l**2/4 = 0?
-1, 0, 17
Suppose 4*t**2 + 324*t - 328 = 0. What is t?
-82, 1
Factor -i**2/8 - 331*i/8 - 123.
-(i + 3)*(i + 328)/8
Solve -2*h**2/13 + 16*h = 0.
0, 104
What is j in -j**5/2 - 4181*j**4/2 - 4372279*j**3/2 - 4363919*j**2/2 + 2186140*j + 2184050 = 0?
-2090, -1, 1
Factor -2*h**4 + 100*h**3 - 376*h**2 + 368*h.
-2*h*(h - 46)*(h - 2)**2
Factor -o**3/4 - o**2/2 + 31*o/4 - 7.
-(o - 4)*(o - 1)*(o + 7)/4
Find g, given that -3*g**4/5 + 24*g**3/5 - 51*g**2/5 + 6*g = 0.
0, 1, 2, 5
Factor r**3 + 791*r**2 - 1585*r + 793.
(r - 1)**2*(r + 793)
Suppose -5*g**4/2 - 60*g**3 - 225*g**2/2 - 55*g = 0. What is g?
-22, -1, 0
Factor 2*w**3 - 2*w**2.
2*w**2*(w - 1)
Factor -2*f**3 - 108*f**2 - 94*f + 636.
-2*(f - 2)*(f + 3)*(f + 53)
Solve 3*l**5/7 + 27*l**4 + 3783*l**3/7 + 22275*l**2/7 - 3750*l = 0 for l.
-25, -14, 0, 1
Suppose -4*u**2 + 59*u - 195 = 0. What is u?
5, 39/4
Factor -2*d**2 - 284*d - 10082.
-2*(d + 71)**2
Determine s so that 2*s**2/25 + 52*s/25 + 2 = 0.
-25, -1
Find s such that 21*s**5/5 - 566*s**4/5 - 92*s**3/5 + 6456*s**2/5 + 7136*s/5 - 512 = 0.
-2, 2/7, 4, 80/3
Factor -b**4 + 239*b**3/5 + 244*b**2/5.
-b**2*(b + 1)*(5*b - 244)/5
Suppose 5*b**3 - 55*b**2 + 155*b - 105 = 0. What is b?
1, 3, 7
Solve 2*y**4/7 - 2*y**3 - 40*y**2/7 + 264*y/7 + 288/7 = 0.
-4, -1, 6
Let 18*u**5 + 40*u**4 - 10*u**3 - 40*u**2 - 8*u = 0. Calculate u.
-2, -1, -2/9, 0, 1
Factor 20*a**3/3 + 8*a**2.
4*a**2*(5*a + 6)/3
Determine x, given that 5*x**5 - 115*x**4 - 250*x**3 - 10*x**2 + 245*x + 125 = 0.
-1, 1, 25
Factor 4*m**3 + 102*m**2 + 560*m - 306.
2*(m + 9)*(m + 17)*(2*m - 1)
Solve -d**2 - 4784*d + 4785 = 0.
-4785, 1
Factor -y**5 + 3*y**4 + 31*y**3 + 65*y**2 + 54*y + 16.
-(y - 8)*(y + 1)**3*(y + 2)
What is j in 2*j**5 + 1946*j**4 - 2*j**3 - 1946*j**2 = 0?
-973, -1, 0, 1
Factor -10*d**4 + 325*d**3 - 3465*d**2 + 11495*d + 6655.
-5*(d - 11)**3*(2*d + 1)
Suppose 48*z**5/5 + 189*z**4/5 + 27*z**3 = 0. Calculate z.
-3, -15/16, 0
Factor 25*t**3 - 15*t**2 - 10*t.
5*t*(t - 1)*(5*t + 2)
Suppose -3*h**4/7 - 3*h**3 + 1794*h**2/7 + 24384*h/7 + 41472/7 = 0. What is h?
-16, -2, 27
Let -9*u**5 - 56*u**4 - 93*u**3 - 54*u**2 - 8*u = 0. What is u?
-4, -1, -2/9, 0
Factor -2*c**4/9 - 388*c**3/9 - 17170*c**2/9 + 163216*c/9.
-2*c*(c - 8)*(c + 101)**2/9
Solve -16*a**5 + 8*a**4 + 47*a**3 - 56*a**2 + 19*a - 2 = 0.
-2, 1/4, 1
Suppose 2*c**2 + 4872*c + 2967048 = 0. What is c?
-1218
Find d such that 3*d**2 + 90*d - 93 = 0.
-31, 1
Factor -4*g**3 - 344*g**2 + 2580*g - 2232.
-4*(g - 6)*(g - 1)*(g + 93)
Determine n so that 2*n**2 - 74*n = 0.
0, 37
Factor -2*c**3/13 + 2*c**2/13 + 20*c/13 + 16/13.
-2*(c - 4)*(c + 1)*(c + 2)/13
Suppose c**4/11 - 14*c**3/11 + 69*c**2/11 - 140*c/11 + 100/11 = 0. Calculate c.
2, 5
Suppose 2*u**2/13 + 2572*u/13 + 2570/13 = 0. What is u?
-1285, -1
Let -y**5/4 + 41*y**4/4 - 37*y**3/2 - 41*y**2 + 78*y = 0. What is y?
-2, 0, 2, 39
Factor 2*a**3/3 + 154*a**2/9 - 56*a/9 - 104/9.
2*(a - 1)*(a + 26)*(3*a + 2)/9
Factor -w**4/8 - w**3/2 + 3*w**2/2 + 4*w - 8.
-(w - 2)**2*(w + 4)**2/8
Solve 6*v**5 + 106*v**4/15 - 172*v**3/15 - 8*v**2/3 + 16*v/15 = 0.
-2, -2/5, 0, 2/9, 1
Factor -5*y**4 - 35*y**3 - 65*y**2 + 15*y + 90.
-5*(y - 1)*(y + 2)*(y + 3)**2
Determine k so that -15*k**5 + 115*k**4 - 35*k**3 - 775*k**2 - 250*k = 0.
-2, -1/3, 0, 5
Find o such that o**4/3 + 4*o**3/3 - o**2 - 14*o/3 - 8/3 = 0.
-4, -1, 2
Let -25*d**4/4 + 85*d**3/2 - 81*d**2 + 46*d - 8 = 0. Calculate d.
2/5, 2, 4
Factor 3*b**3 + 30*b**2 + 63*b.
3*b*(b + 3)*(b + 7)
Solve -5*k**2 + 205*k + 210 = 0 for k.
-1, 42
Suppose 5*t**5/4 + 215*t**4/4 - 455*t**3/2 + 695*t**2/2 - 935*t/4 + 235/4 = 0. What is t?
-47, 1
Solve -x**2 + 64*x - 1024 = 0 for x.
32
Factor -2*a**2/7 + 1362*a/7 - 1360/7.
-2*(a - 680)*(a - 1)/7
Factor -5*r**4 + 10*r**2 - 5.
-5*(r - 1)**2*(r + 1)**2
Determine z so that 4*z**3 - 104*z**2 - 108*z = 0.
-1, 0, 27
Factor x**2/3 + 302*x/3 + 200.
(x + 2)*(x + 300)/3
Find g, given that -3*g**5 + 21*g**4 - 39*g**3 + 3*g**2 + 42*g - 24 = 0.
-1, 1, 2, 4
Factor 22*y**2/5 - 184*y/15 + 104/15.
2*(y - 2)*(33*y - 26)/15
Factor o**5/3 - 10*o**4/3 - 146*o**3/3 + 488*o**2/3 - 503*o/3 + 170/3.
(o - 17)*(o - 1)**3*(o + 10)/3
Solve -2*u**3 - 490*u**2 + 2*u + 490 = 0 for u.
-245, -1, 1
Suppose -2*c**4/13 - 70*c**3/13 - 198*c**2/13 - 194*c/13 - 64/13 = 0. Calculate c.
-32, -1
Factor -5*v**2/4 + 105*v/2.
-5*v*(v - 42)/4
Let n**5/4 + 5*n**4/4 + 3*n**3/2 - n**2 - 2*n = 0. Calculate n.
-2, 0, 1
Find h such that -8*h**5 - 8*h**4 + 6*h**3 + 8*h**2 + 2*h = 0.
-1, -1/2, 0, 1
Suppose 3*i**3 + 39*i**2 + 96*i + 60 = 0. What is i?
-10, -2, -1
Factor 3078*h**3 + 9231*h**2 - 9*h.
3*h*(h + 3)*(1026*h - 1)
Let 5*f**3 + 15*f**2 + 10*f = 0. What is f?
-2, -1, 0
Find x, given that -2*x**4/5 - 18*x**3/5 - 48*x**2/5 - 8*x = 0.
-5, -2, 0
Find n such that -n**2 + 5*n - 6 = 0.
2, 3
Factor -2*j**3 - 10*j**2 + 2*j + 10.
-2*(j - 1)*(j + 1)*(j + 5)
Factor 3*z**2/5 - 3*z/5.
3*z*(z - 1)/5
Solve 2*c**5/7 - 16*c**4/7 + 50*c**3/7 - 76*c**2/7 + 8*c - 16/7 = 0.
1, 2
Factor 2*p**4/17 + 88*p**3/17 + 328*p**2/17 + 320*p/17.
2*p*(p + 2)**2*(p + 40)/17
Solve b**3/6 - 2*b**2/3 + 2*b/3 = 0 for b.
0, 2
Factor x**4/4 - 5*x**3 + 39*x**2/2 - 9*x - 135/4.
(x - 15)*(x - 3)**2*(x + 1)/4
Suppose x**2 + 43*x - 138 = 0. What is x?
-46, 3
Solve -4*y**5 + 4*y**4 + 40*y**3 - 40*y**2 - 36*y + 36 = 0 for y.
-3, -1, 1, 3
Factor -3*b**3 - 12*b**2 + 33*b - 18.
-3*(b - 1)**2*(b + 6)
Determine o so that -15*o**4 + 125*o**3 - 355*o**2 + 375*o - 90 = 0.
1/3, 2, 3
Factor 804*c**3 - 2409*c**2 + 1599*c + 6.
3*(c - 2)*(c - 1)*(268*c + 1)
Factor m**5/2 - 5*m**4/2 - 5*m**3/2 + 25*m**2/2 + 20*m + 8.
(m - 4)**2*(m + 1)**3/2
Find r, given that -3*r**4/5 - 48*r**3/5 + 51*r**2/5 = 0.
-17, 0, 1
Factor -p**3/5 - 43*p**2 + 216*p/5.
-p*(p - 1)*(p + 216)/5
Factor -172*o**2 - 137*o/4 - 3/8.
-(16*o + 3)*(86*o + 1)/8
Factor -l**4 + 9*l**3 + 3*l**2 - 25*l - 18.
-(l - 9)*(l - 2)*(l + 1)**2
Factor 2*v**4 - 126*v**3 + 2760*v**2 - 23200*v + 48000.
2*(v - 20)**3*(v - 3)
Find c, given that 3*c**4/8 - 33*c**3/4 - 1617*c**2/8 - 1899*c/2 - 2565/2 = 0.
-10, -3, 38
What is h in -3*h**2/8 - 30*h = 0?
-80, 0
Solve -14*h**4 - 590*h**3 + 2420*h**2 - 2920*h + 1104 = 0 for h.
-46, 6/7, 1, 2
Factor 5481045*q**4 - 10983030*q**3 + 5522945*q**2 - 20980*q + 20.
5*(q - 1)**2*(1047*q - 2)**2
Suppose b**2/5 + 2118*b/5 + 1121481/5 = 0. Calculate b.
-1059
Suppose -8*q**4/9 + 82*q**3/9 - 220*q**2/9 + 50*q/9 = 0. Calculate q.
0, 1/4, 5
Solve p**3/3 + 32*p**2/3 + 107*p/3 - 140/3 = 0.
-28, -5, 1
Factor y**3 + 67*y**2 + 256*y + 252.
(y + 2)**2*(y + 63)
Suppose -100*f**5/9 - 11980*f**4/9 - 11012*f**3/3 - 32404*f**2/9 - 13120*f/9 - 208 = 0. What is f?
-117, -1, -2/5
Suppose -3*v**4 - 372*v**3 - 2784*v**2 = 0. What is v?
-116, -8, 0
Determine f, given that -283*f**3/6 - 565*f**2/3 - 841*f/6 + 1 = 0.
-3, -1, 2/283
Factor 129*m**2 - 270*m + 24.
3*(m - 2)*(43*m - 4)
Solve r**4/2 - 9*r**2 - 16*r - 15/2 = 0.
-3, -1, 5
Suppose -9*q**4/5 - 138*q**3/5 - 468*q**2/5 + 426*q/5 + 189/5 = 0. Calculate q.
-9, -7, -1/3, 1
Factor -5*k**2 + 1