*p**2/9 + 58*p/9 - 10/9.
-2*(p - 1)*(p + 5)*(5*p - 1)/9
Factor 3*j**2/5 - 15*j + 138/5.
3*(j - 23)*(j - 2)/5
Factor 5*u**2/4 + 125*u/2 - 270.
5*(u - 4)*(u + 54)/4
What is q in q**5/6 - 10*q**4 + 200*q**3 - 4000*q**2/3 = 0?
0, 20
Suppose 2*j**5/7 + 1296*j**4/7 + 211244*j**3/7 + 418608*j**2/7 + 208658*j/7 = 0. Calculate j.
-323, -1, 0
Let -w**2 + 9*w + 70 = 0. What is w?
-5, 14
Determine r so that 8*r**4 + 90*r**3 + 334*r**2 + 438*r + 90 = 0.
-5, -3, -1/4
Suppose -4*a**5 - 24*a**4 - 20*a**3 + 64*a**2 + 48*a - 64 = 0. What is a?
-4, -2, 1
Factor 21*r**3 - 393*r**2 - 114*r.
3*r*(r - 19)*(7*r + 2)
Determine w so that 3*w**2 - 27*w - 30 = 0.
-1, 10
Factor -4*w**4 - 12*w**3 + 24*w**2 + 32*w.
-4*w*(w - 2)*(w + 1)*(w + 4)
Factor 6*n**4/11 - 66*n**3 - 2214*n**2/11 - 2226*n/11 - 744/11.
6*(n - 124)*(n + 1)**3/11
Suppose s**2/5 + 42*s/5 + 37 = 0. What is s?
-37, -5
Solve -r**3/2 + 11*r**2 - 41*r/2 + 10 = 0.
1, 20
Factor 2*t**3 - 604*t**2 + 46786*t - 177608.
2*(t - 149)**2*(t - 4)
Let -a**3/5 - 366*a**2/5 - 44652*a/5 - 1815848/5 = 0. Calculate a.
-122
Determine a, given that 5*a**3 + 100*a**2 = 0.
-20, 0
What is b in 2*b**2 + 584*b + 42632 = 0?
-146
Determine c, given that c**4 - c**3 - 3*c**2 + c + 2 = 0.
-1, 1, 2
Solve -v**3/9 - 5*v**2/3 + 106*v/9 + 40/3 = 0.
-20, -1, 6
Suppose 423022595*g**4 - 420131780*g**3 - 2884230*g**2 - 6580*g - 5 = 0. What is g?
-1/439, 1
Find c, given that -4*c**4 + 52*c**3 - 44*c**2 - 52*c + 48 = 0.
-1, 1, 12
What is j in -3*j**3 - 18*j**2 + 39*j + 126 = 0?
-7, -2, 3
Factor 5*g**3 + 600*g**2.
5*g**2*(g + 120)
Factor -3*q**4 - 27*q**3 - 60*q**2 - 36*q.
-3*q*(q + 1)*(q + 2)*(q + 6)
Factor 2*n**3/11 + 139*n**2/11 - 215*n/11 - 142/11.
(n - 2)*(n + 71)*(2*n + 1)/11
Let -2*h**2 + 72*h + 234 = 0. What is h?
-3, 39
Solve -l**4/3 + 2*l**3 + l**2 - 56*l/3 + 16 = 0.
-3, 1, 4
Let -3*k**3 - 264*k**2 - 2268*k + 174960 = 0. Calculate k.
-54, 20
Determine r, given that -4*r**5 + 112*r**4 + 536*r**3 - 752*r**2 - 532*r + 640 = 0.
-5, -1, 1, 32
Factor 25*i**2 - 610*i + 240.
5*(i - 24)*(5*i - 2)
Determine u, given that 3*u**3 + 263*u**2/3 + 760*u/3 + 52 = 0.
-26, -3, -2/9
Factor -2*s**3/5 - 64*s**2/5 + 66*s/5.
-2*s*(s - 1)*(s + 33)/5
Factor 5*b**3 - 650*b**2.
5*b**2*(b - 130)
Factor 5*c**3/3 - 28*c**2/3 + 15*c - 6.
(c - 3)*(c - 2)*(5*c - 3)/3
Factor j**2/3 + j.
j*(j + 3)/3
Determine n so that -n**4 + 243*n**3/7 + 166*n**2 + 312*n/7 = 0.
-4, -2/7, 0, 39
Solve -2*d**3/7 - 710*d**2/7 - 62656*d/7 + 63368/7 = 0 for d.
-178, 1
Solve 3*v**3/8 - 63*v**2/4 + 180*v - 300 = 0 for v.
2, 20
Solve 5*a**3 - 50*a**2 + 115*a - 70 = 0 for a.
1, 2, 7
Suppose 3*p**2 + 18618*p + 28885827 = 0. What is p?
-3103
Find c, given that 4*c**5 + 28*c**4 + 40*c**3 = 0.
-5, -2, 0
Factor -5*g**4 - 3160*g**3 - 9450*g**2 - 9440*g - 3145.
-5*(g + 1)**3*(g + 629)
Find h such that -h**2/3 - 2*h/3 + 5 = 0.
-5, 3
Solve -a**2/9 - 27*a + 244/9 = 0 for a.
-244, 1
Let p**4 + p**3 - 5*p**2 + 3*p = 0. Calculate p.
-3, 0, 1
Determine k, given that -k**3/3 + 67*k**2/3 + k/3 - 67/3 = 0.
-1, 1, 67
Factor m**2/4 + 3*m - 16.
(m - 4)*(m + 16)/4
Factor o**2/6 - 298*o/3 - 199/2.
(o - 597)*(o + 1)/6
Let -d**5 + 98*d**4 - 3063*d**3 + 25738*d**2 + 146812*d + 117912 = 0. Calculate d.
-3, -1, 34
Factor -4*o**2/5 - 24664*o/5 - 38019556/5.
-4*(o + 3083)**2/5
Determine a so that a**3 - 495*a**2 - a + 495 = 0.
-1, 1, 495
Solve 2*t**3 + 22*t**2 + 20*t = 0.
-10, -1, 0
Factor -h**5 - 9*h**4 - 18*h**3.
-h**3*(h + 3)*(h + 6)
Factor 3*z**3 + 55*z**2 + 64*z - 68.
(z + 2)*(z + 17)*(3*z - 2)
Solve -a**5/5 - 8*a**4/5 + 9*a**3/5 = 0.
-9, 0, 1
Solve -5*r**2 - 55*r - 140 = 0.
-7, -4
Factor -5*t**5 - 160*t**4 + 1030*t**3 + 4000*t**2 + 4295*t + 1480.
-5*(t - 8)*(t + 1)**3*(t + 37)
Suppose g**5 - 271*g**4 + 538*g**3 + 2*g**2 - 539*g + 269 = 0. Calculate g.
-1, 1, 269
Factor -3*w**2/4 - 105*w/2 - 3675/4.
-3*(w + 35)**2/4
Find p such that -3*p**2 - 600*p - 30000 = 0.
-100
Find c such that -3125*c**3 - 30125*c**2 - 18320*c - 2880 = 0.
-9, -8/25
Find b such that b**4/3 + 824*b**3/3 + 75072*b**2 + 6703488*b - 28032768 = 0.
-276, 4
Let -5*u**5/4 - 67*u**4/4 - 21*u**3/4 + 67*u**2/4 + 13*u/2 = 0. Calculate u.
-13, -1, -2/5, 0, 1
Factor -v**2/2 - 28*v.
-v*(v + 56)/2
Let o**4/5 + 7*o**3 + 321*o**2/5 + 221*o/5 - 578/5 = 0. Calculate o.
-17, -2, 1
Factor y**4/4 + y**3/2 - 39*y**2/4 - 37*y - 35.
(y - 7)*(y + 2)**2*(y + 5)/4
Factor t**5/4 + 9*t**4/2 + 28*t**3 + 135*t**2/2 + 175*t/4.
t*(t + 1)*(t + 5)**2*(t + 7)/4
Factor -2*q**2/3 - 74*q/3 + 812.
-2*(q - 21)*(q + 58)/3
Solve -3*r**4 + 3*r**3 + 36*r**2 - 84*r + 48 = 0 for r.
-4, 1, 2
Factor a**2/2 - 32*a + 495/2.
(a - 55)*(a - 9)/2
Solve -p**4 + 2*p**3 + 4*p**2 - 2*p - 3 = 0.
-1, 1, 3
Determine k, given that 10*k**4 - 7332*k**3 - 29352*k**2/5 - 5872*k/5 = 0.
-2/5, 0, 734
Let -2*a**3/9 - 1772*a**2/9 - 387128*a/9 + 795664/3 = 0. What is a?
-446, 6
Suppose 5*a**3 - 1245*a**2 - 6320*a - 7620 = 0. Calculate a.
-3, -2, 254
What is t in 27*t**5 - 312*t**4 + 663*t**3 - 378*t**2 = 0?
0, 1, 14/9, 9
Suppose h**5 - 22*h**4 + 183*h**3 - 702*h**2 + 1188*h - 648 = 0. What is h?
1, 3, 6
Factor -3*v**2/7 - 1494*v/7 + 3000/7.
-3*(v - 2)*(v + 500)/7
Suppose -5*f**2 - 1655*f = 0. Calculate f.
-331, 0
Let -x**4/4 - 3*x**3/2 + 17*x**2/4 + 39*x/2 + 14 = 0. Calculate x.
-7, -2, -1, 4
Let 14*x**5 - 340*x**4 + 1412*x**3 - 40*x**2 - 1426*x + 380 = 0. What is x?
-1, 2/7, 1, 5, 19
Suppose -s**5 + 66*s**4 + 137*s**3 - 66*s**2 - 136*s = 0. What is s?
-2, -1, 0, 1, 68
Solve 36*f**3 + 528*f**2 - 752*f + 256 = 0.
-16, 2/3
Find s such that 2*s**3 - 4*s**2 - 10*s + 12 = 0.
-2, 1, 3
Factor 5*d**5 - 45*d**4 + 120*d**3 - 100*d**2.
5*d**2*(d - 5)*(d - 2)**2
Let -p**4/5 - 18*p**3/5 + 21*p**2/5 + 38*p/5 = 0. Calculate p.
-19, -1, 0, 2
Factor -2*m**5/3 - 8*m**4/3 - 2*m**3.
-2*m**3*(m + 1)*(m + 3)/3
Factor 3*a**2 - 27.
3*(a - 3)*(a + 3)
Factor 4*d**3 + 48*d**2 + 92*d - 144.
4*(d - 1)*(d + 4)*(d + 9)
Factor -3*u**3 + 5418*u**2 - 3261636*u + 654501624.
-3*(u - 602)**3
Determine u, given that u**4/5 + u**3/5 - 192*u**2/5 + 832*u/5 + 1024/5 = 0.
-16, -1, 8
Factor -29929*j**2/4 + 173*j/2 - 1/4.
-(173*j - 1)**2/4
Factor 2*h**3/5 + 152*h**2/5 + 30*h.
2*h*(h + 1)*(h + 75)/5
Let -2*i**3/5 - 16*i**2/5 - 38*i/5 - 24/5 = 0. What is i?
-4, -3, -1
Solve 4*w**5 - 60*w**4 + 176*w**3 = 0.
0, 4, 11
Solve 25*c**5/4 - 245*c**4 + 11529*c**3/4 - 16825*c**2/2 - 8177*c - 1734 = 0 for c.
-2/5, 6, 17
Let t**4 + 153*t**3 + 152*t**2 = 0. What is t?
-152, -1, 0
Find b, given that 17*b**2/10 - 36*b/5 + 8/5 = 0.
4/17, 4
Factor -12*b**3 + 52*b**2.
-4*b**2*(3*b - 13)
Factor y**3/3 + y**2/3 - 2*y/3.
y*(y - 1)*(y + 2)/3
Factor 3*k**2 + 537*k.
3*k*(k + 179)
Factor -2*x**2 + 2000*x - 500000.
-2*(x - 500)**2
Factor 2*f**2/9 - 8*f/9 - 64/9.
2*(f - 8)*(f + 4)/9
Factor 2*a**5 - 2*a**4 - 60*a**3 - 148*a**2 - 134*a - 42.
2*(a - 7)*(a + 1)**3*(a + 3)
Factor 3*x**3/7 + 27*x**2/7 + 72*x/7 + 48/7.
3*(x + 1)*(x + 4)**2/7
Find i such that -2*i**4 + 234*i**3/5 - 312*i**2/5 + 88*i/5 = 0.
0, 2/5, 1, 22
Factor 5*c**5 + 105*c**4 + 690*c**3 + 2020*c**2 + 2760*c + 1440.
5*(c + 2)**3*(c + 3)*(c + 12)
Let -28*u**3 + 2428*u**2 - 6360*u - 2016 = 0. Calculate u.
-2/7, 3, 84
Factor -85*h**2 - 55*h + 30.
-5*(h + 1)*(17*h - 6)
Factor 2*t**3/3 + 14*t**2/3 + 28*t/3 + 16/3.
2*(t + 1)*(t + 2)*(t + 4)/3
Solve p**4 + 50*p**3 + 144*p**2 + 142*p + 47 = 0.
-47, -1
Let 2*j**4 + 18*j**3 + 56*j**2 + 72*j + 32 = 0. What is j?
-4, -2, -1
Find d such that 4*d**3 - 80*d**2 + 112*d + 576 = 0.
-2, 4, 18
Solve 5*b**5 + 335*b**4 + 7575*b**3 + 60145*b**2 + 52900*b = 0.
-23, -20, -1, 0
Solve -4*i**4 - 12*i**3 + 8*i**2 + 48*i + 32 = 0 for i.
-2, -1, 2
Solve -g**5/4 - 1229*g**4/2 - 1842*g**3 - 3683*g**2/2 - 2455*g/4 = 0.
-2455, -1, 0
Let -4*y**2 + 36*y = 0. What is y?
0, 9
Let 25*w**4 + 485*w**3 - 935*w**2 - 2025*w - 630 = 0. What is w?
-21, -1, -2/5, 3
What is i in 2*i**3 - 722*i = 0?
-19, 0, 19
Factor 15*a**3 - 950*a**2 - 1635*a + 650.
5*(a - 65)*(a + 2)*(3*a - 1)
Suppose -1323*s**4/4 + 273*s**3/4 + 387*s**2/2 + 63*s + 6 = 0. Calculate s.
-2/7, -2/9, 1
Find r, given that -17*r**3/5 - 36*r**2/5 - 21*r/5 - 2/5 = 0.
-1, -2/17
Factor -3*b**3 + 6*b**2 + 3*b - 6.
-3*(b - 2)*(b - 1)*(b + 1)
Factor -b**2 - 1800*b - 810000.
-(b + 900)**2
What is m in -5*m**2 + 5*m + 30 = 0?
-2, 3
Factor -2*z**2 - 80*z - 750.
-2*(z + 15)*(z 