 0, 1
Factor -t**4/7 - 6*t**3/7 + 15*t**2/7 + 44*t/7 - 12.
-(t - 2)**2*(t + 3)*(t + 7)/7
Factor 14*l**3 - 178*l**2 + 256*l + 88.
2*(l - 11)*(l - 2)*(7*l + 2)
Determine b so that 3*b**5/5 + 84*b**4/5 + 78*b**3/5 - 84*b**2/5 - 81*b/5 = 0.
-27, -1, 0, 1
Factor -l**4 - 2*l**3 + 5*l**2 + 6*l.
-l*(l - 2)*(l + 1)*(l + 3)
Factor 4*q**3/7 - 264*q**2/7 + 4608*q/7 - 8192/7.
4*(q - 32)**2*(q - 2)/7
Find a, given that -2*a**2 + 40*a - 168 = 0.
6, 14
Let -7*j**5/3 - 61*j**4/3 + 704*j**3/3 - 1708*j**2/3 + 1328*j/3 - 256/3 = 0. What is j?
-16, 2/7, 1, 2, 4
Determine b so that -b**3/2 - 653*b**2/2 - 53464*b - 53138 = 0.
-326, -1
Factor m**2/3 - 7*m/3 - 1178/3.
(m - 38)*(m + 31)/3
Solve 2*y**4/7 - 4*y**3/7 - 6*y**2/7 + 16*y/7 - 8/7 = 0.
-2, 1, 2
Let -y**2/6 + 37*y/3 - 1369/6 = 0. What is y?
37
Let 4*y**3 + 100*y**2 + 672*y + 576 = 0. What is y?
-12, -1
Suppose 3*k**4/8 + 15*k**3/8 - 15*k**2/4 - 15*k/2 + 9 = 0. What is k?
-6, -2, 1, 2
Determine m, given that -4*m**2/7 - 60*m/7 + 64/7 = 0.
-16, 1
Factor -b**2/4 + 35*b + 2325/4.
-(b - 155)*(b + 15)/4
Suppose 2*u**2/21 + 32*u/7 = 0. Calculate u.
-48, 0
Factor 6*s**3 - 45*s**2/2 - 93*s/2 + 45.
3*(s - 5)*(s + 2)*(4*s - 3)/2
Factor -2*i**2/5 + 262*i - 2612/5.
-2*(i - 653)*(i - 2)/5
Factor -3*w**2/5 - 888*w/5 - 2637/5.
-3*(w + 3)*(w + 293)/5
Solve 48*z**5 + 124*z**4 - 84*z**3 - 76*z**2 - 12*z = 0 for z.
-3, -1/3, -1/4, 0, 1
Find o, given that 30*o**5/7 + 1436*o**4/7 + 2598*o**3/7 + 144*o**2 - 184*o/7 = 0.
-46, -1, 0, 2/15
Let 2*u**5 + 4*u**4 - 4*u**2 - 2*u = 0. What is u?
-1, 0, 1
Factor 4*k**4 - 200*k**3 + 924*k**2 - 1080*k.
4*k*(k - 45)*(k - 3)*(k - 2)
Factor -6*z**2/5 + 46*z/5 + 16/5.
-2*(z - 8)*(3*z + 1)/5
Factor -g**3 - 1793*g**2 - 3582*g.
-g*(g + 2)*(g + 1791)
Suppose l**2/2 + 45*l/2 + 43 = 0. Calculate l.
-43, -2
Solve 120*f**5 - 432*f**4 - 501*f**3/2 + 987*f**2/4 - 207*f/4 + 3 = 0 for f.
-1, 1/10, 1/4, 4
Factor 4*k**4/7 - 4*k**3/7 - 4*k**2/7 + 4*k/7.
4*k*(k - 1)**2*(k + 1)/7
Determine b, given that -285*b**2/4 - 3*b/2 = 0.
-2/95, 0
Determine y, given that -y**4/4 + 73*y**3/4 + 225*y**2/4 + 227*y/4 + 19 = 0.
-1, 76
Find f, given that 4*f**2 - 532*f + 1048 = 0.
2, 131
Factor 36*l**4 - 84*l**3 - 8*l**2 + 80*l - 32.
4*(l - 2)*(l + 1)*(3*l - 2)**2
Factor 5*s**2 + 175*s + 170.
5*(s + 1)*(s + 34)
Factor 2*t**5 - 32*t**4 + 176*t**3 - 384*t**2 + 288*t.
2*t*(t - 6)**2*(t - 2)**2
Factor o**2/6 - 2*o/3.
o*(o - 4)/6
Find g such that -g**3 + 4*g**2 + 3*g - 18 = 0.
-2, 3
Solve -n**4/5 - 8*n**3/5 - 11*n**2/5 + 4*n = 0 for n.
-5, -4, 0, 1
Factor -3*q**2/4 - 3897*q/4.
-3*q*(q + 1299)/4
Determine z so that 2*z**5/3 + 2*z**4/3 - 44*z**3/3 + 88*z**2/3 - 16*z = 0.
-6, 0, 1, 2
Factor 2*f**3/19 + 2*f**2/19 - 16*f/19 - 24/19.
2*(f - 3)*(f + 2)**2/19
Factor 2*o**2 - 6*o + 4.
2*(o - 2)*(o - 1)
Determine l so that -2*l**3/3 + 2*l**2/3 + 8*l/3 - 8/3 = 0.
-2, 1, 2
Factor -u**3/4 - 9*u**2 - 17*u.
-u*(u + 2)*(u + 34)/4
Factor -2*w**3/9 + 308*w**2/9 - 11858*w/9.
-2*w*(w - 77)**2/9
Find u such that 4*u**2 + 76*u + 192 = 0.
-16, -3
Let -4*u**2 + 3048*u - 580644 = 0. Calculate u.
381
Factor -n**3/10 + 73*n**2/10 - 143*n/10 + 71/10.
-(n - 71)*(n - 1)**2/10
Factor 5*o**2 + 640*o + 20480.
5*(o + 64)**2
Let 2*d**3/5 - 432*d**2/5 + 506*d - 420 = 0. What is d?
1, 5, 210
What is m in 3*m**2/2 - 6*m = 0?
0, 4
Solve -t**2/10 - 113*t/5 - 45/2 = 0.
-225, -1
Factor -5*h**3 + 85*h**2 - 280*h + 260.
-5*(h - 13)*(h - 2)**2
Factor c**5/4 - c**4/2 - c**3/4 + c**2/2.
c**2*(c - 2)*(c - 1)*(c + 1)/4
Let 7*q**3/2 + 779*q**2/2 + 496*q + 110 = 0. What is q?
-110, -1, -2/7
Let 32*p**4/15 - 464*p**3/15 - 238*p**2/15 - 2*p = 0. Calculate p.
-1/4, 0, 15
Determine k so that 2*k**2 - 556*k + 38642 = 0.
139
Let 3*c**2 - 144*c + 1701 = 0. Calculate c.
21, 27
Factor -4*x**3 + 52*x**2 + 116*x + 60.
-4*(x - 15)*(x + 1)**2
Factor -3*w**3 + 777*w**2 - 50697*w + 49923.
-3*(w - 129)**2*(w - 1)
Let 5*o**3/3 - 10*o**2 - 20*o/3 + 40 = 0. Calculate o.
-2, 2, 6
Factor -s**3/3 - 298*s**2/3 - 22496*s/3 - 43808/3.
-(s + 2)*(s + 148)**2/3
Solve o**3/4 + 3*o**2/4 = 0.
-3, 0
Factor 122*y**3/7 - 484*y**2/7 + 472*y/7 + 16/7.
2*(y - 2)**2*(61*y + 2)/7
Let g**4/4 + 2*g**3 - 31*g**2/2 + 12*g + 117/4 = 0. What is g?
-13, -1, 3
Factor -w**3 + 166*w**2 - 328*w.
-w*(w - 164)*(w - 2)
Let 4*y**5 + 24*y**4 - 216*y**2 - 324*y = 0. Calculate y.
-3, 0, 3
Determine f, given that 3*f**4 - 42*f**3 + 96*f**2 + 384*f = 0.
-2, 0, 8
Factor -4*k**3 - 4*k**2 + 64*k + 64.
-4*(k - 4)*(k + 1)*(k + 4)
Factor -3*t**2/4 - 159*t/4 + 126.
-3*(t - 3)*(t + 56)/4
Let -5*r**5/4 - 7*r**4/4 + 33*r**3/4 + 19*r**2/4 - 7*r - 3 = 0. Calculate r.
-3, -1, -2/5, 1, 2
Determine j, given that -3*j**5/4 + 27*j**4/4 + 39*j**3/4 - 87*j**2/4 - 9*j + 15 = 0.
-2, -1, 1, 10
Find j, given that -2*j**4/3 + 26*j**3 - 174*j**2 + 818*j/3 - 124 = 0.
1, 6, 31
Let -4*g**2/3 + 9328*g/3 - 5438224/3 = 0. Calculate g.
1166
Determine k so that -28*k**4 - 328*k**3 - 240*k**2 + 2336*k - 640 = 0.
-10, -4, 2/7, 2
Let -3*d**5 - 11*d**4 - 10*d**3/3 + 10*d**2 + 19*d/3 + 1 = 0. Calculate d.
-3, -1, -1/3, 1
Factor 3*k**2/7 + 81*k/7 + 216/7.
3*(k + 3)*(k + 24)/7
Factor -5*y**2/2 + 240*y - 11515/2.
-5*(y - 49)*(y - 47)/2
Factor 3*u**2/7 + 1893*u/7 + 5652/7.
3*(u + 3)*(u + 628)/7
Find l, given that -2*l**4 + 26*l**3 - 112*l**2 + 160*l = 0.
0, 4, 5
Find q such that q**3 + 14*q**2 - 35*q - 48 = 0.
-16, -1, 3
Determine r, given that r**5 - 872*r**4 + 190966*r**3 - 379320*r**2 + 189225*r = 0.
0, 1, 435
What is x in x**4/3 - 15*x**3 + 68*x**2 - 160*x/3 = 0?
0, 1, 4, 40
Factor 2*y**3/11 - 562*y**2/11 + 40848*y/11 - 190440/11.
2*(y - 138)**2*(y - 5)/11
Determine x so that 49*x**5/2 + 3269*x**4 - 17027*x**3/2 + 7394*x**2 - 2446*x + 272 = 0.
-136, 2/7, 1
Let x**4/3 + 14*x**3/3 + 8*x**2 - 94*x/3 + 55/3 = 0. What is x?
-11, -5, 1
Factor -16*j**4/3 - 160*j**3/3 - 52*j**2/3 + 676*j.
-4*j*(j - 3)*(2*j + 13)**2/3
Factor 5*q**2/3 + q - 2/3.
(q + 1)*(5*q - 2)/3
Solve -3*s**2 - 240*s + 1008 = 0 for s.
-84, 4
Determine s, given that 4*s**2 + 57*s - 45 = 0.
-15, 3/4
Factor 26*r**2/3 - 256*r/3 - 40/3.
2*(r - 10)*(13*r + 2)/3
Let -3*d**4 + 45*d**3 - 165*d**2 - 45*d + 168 = 0. Calculate d.
-1, 1, 7, 8
Find n such that -n**4/3 + 5*n**3/3 + n**2 - 17*n/3 + 10/3 = 0.
-2, 1, 5
Factor 6*y**2 - 368*y + 122.
2*(y - 61)*(3*y - 1)
Solve z**5/3 + 2*z**4 - 2*z**3/3 - 12*z**2 + z/3 + 10 = 0.
-5, -3, -1, 1, 2
Factor d**3 - 9*d**2 - d + 9.
(d - 9)*(d - 1)*(d + 1)
Factor -2*h**4/9 - 28*h**3/9 - 22*h**2/3 + 224*h/9 - 128/9.
-2*(h - 1)**2*(h + 8)**2/9
Factor -2*k**2 - 5979*k - 2989.
-(k + 2989)*(2*k + 1)
Determine k so that -2*k**3/5 + 606*k**2/5 = 0.
0, 303
Factor o**2 - 75*o + 146.
(o - 73)*(o - 2)
Suppose 4*k**2 - 36*k - 144 = 0. What is k?
-3, 12
Factor -4*c**2 - 4632*c + 9280.
-4*(c - 2)*(c + 1160)
Determine h, given that 14*h**5 + 514*h**4 - 162*h**3 - 514*h**2 + 148*h = 0.
-37, -1, 0, 2/7, 1
Suppose 4*a**5 - 84*a**4 - 24*a**3 + 536*a**2 - 684*a + 252 = 0. Calculate a.
-3, 1, 21
Factor -3*f**3 + 55*f**2 + 102*f - 40.
-(f - 20)*(f + 2)*(3*f - 1)
Find y such that -10*y**4/3 + 43*y**3/3 - 52*y**2/3 + 4*y = 0.
0, 3/10, 2
Determine r so that -3*r**5/7 - 3*r**4 + 513*r**3/7 - 1383*r**2/7 + 1326*r/7 - 432/7 = 0.
-18, 1, 8
Factor t**2/3 + 1742*t/3.
t*(t + 1742)/3
Factor 2*z**3/3 - 7*z**2/3 + 7*z/3 - 2/3.
(z - 2)*(z - 1)*(2*z - 1)/3
Suppose 21*a**4/5 + 204*a**3/5 + 297*a**2/5 + 66*a/5 - 48/5 = 0. Calculate a.
-8, -1, 2/7
Let -b**5/5 - 177*b**4/5 + 1089*b**3/5 - 1647*b**2/5 = 0. What is b?
-183, 0, 3
Factor 2*g**2/3 - 6*g.
2*g*(g - 9)/3
Factor -u**4/3 - u**3 + 36*u**2 + 220*u/3.
-u*(u - 10)*(u + 2)*(u + 11)/3
Find w such that w**4/2 - 7*w**3/2 - 3*w**2/2 + 23*w/2 - 7 = 0.
-2, 1, 7
What is l in -1058*l**5/3 - 2438*l**4 + 214*l**3 - 14*l**2/3 = 0?
-7, 0, 1/23
Suppose 15*f**2 + 918*f + 183 = 0. What is f?
-61, -1/5
Factor 5*a**5 - 230*a**4 + 1260*a**3 - 2450*a**2 + 2015*a - 600.
5*(a - 40)*(a - 3)*(a - 1)**3
Suppose -4*a**4 - 264*a**3 - 5040*a**2 - 21600*a = 0. What is a?
-30, -6, 0
Suppose 7*z**3/6 - 19*z**2/6 - 101*z/3 - 28/3 = 0. What is z?
-4, -2/7, 7
Factor -3*w**5 + 243*w**4 - 6018*w**3 + 29058*w**2 + 401157*w + 365835.
-3*(w - 29)**3*(w + 1)*(w + 5)
Determine v so that -5*v**3 + 550*v**2 - 15660*v + 29160 = 0.
2, 54
Find c, given that -2*c**3/7 + 64*c**2/7 + 2*c/7 - 64/7 = 0.
-1, 1, 32
Suppose -180*l**3 + 