*y**2/2 - 65*y - 100 = 0.
-20/3, -2
Factor -q**2/6 + 364*q/3.
-q*(q - 728)/6
Suppose -3*a**4/2 - 3*a**3 + 12*a**2 + 27*a + 27/2 = 0. What is a?
-3, -1, 3
Factor -39*t**2 + 9168*t - 705.
-3*(t - 235)*(13*t - 1)
Factor -4*n**3/3 + 1236*n**2 - 381924*n + 39338172.
-4*(n - 309)**3/3
Find c, given that c**4 + 7*c**3 + 2*c**2 - 28*c - 24 = 0.
-6, -2, -1, 2
Factor -2*m**2/5 - 356*m/5 - 15842/5.
-2*(m + 89)**2/5
Let 5*p**3 - 1035*p**2 + 71415*p - 1642545 = 0. Calculate p.
69
Let 2*o**5/7 - 50*o**4/7 + 284*o**3/7 + 388*o**2/7 - 286*o/7 - 338/7 = 0. Calculate o.
-1, 1, 13
Factor -4*o**2 - 123*o + 31.
-(o + 31)*(4*o - 1)
Suppose -4*i**3 - 116*i**2 - 572*i - 460 = 0. What is i?
-23, -5, -1
Find a such that -3*a**3 - 2*a**2 + 12*a + 8 = 0.
-2, -2/3, 2
Determine q so that -2*q**2 + 254*q - 984 = 0.
4, 123
Determine i, given that 2*i**4/9 + 10*i**3/9 + 4*i**2/9 - 16*i/9 = 0.
-4, -2, 0, 1
Find d such that d**5 - 10*d**4 - 24*d**3 - 2*d**2 + 23*d + 12 = 0.
-1, 1, 12
Let -5*p**2 - 150*p + 155 = 0. Calculate p.
-31, 1
Factor -4*t**4/7 + 132*t**3/7 + 276*t**2/7 + 20*t.
-4*t*(t - 35)*(t + 1)**2/7
Factor 27*z**4/2 + 271*z**3/4 + 221*z**2/4 + z.
z*(z + 1)*(z + 4)*(54*z + 1)/4
Factor -7*w**3/5 - 47*w**2/5 + 14*w - 16/5.
-(w - 1)*(w + 8)*(7*w - 2)/5
Factor -5*r**2 - 235*r - 2760.
-5*(r + 23)*(r + 24)
Factor 5*m**2 - 1990*m + 198005.
5*(m - 199)**2
Let -2*c**4/3 + 26*c**3/9 + 106*c**2/9 + 46*c/9 - 28/9 = 0. What is c?
-2, -1, 1/3, 7
Suppose -5*o**3/6 - o**2 - o/6 = 0. Calculate o.
-1, -1/5, 0
Factor 64*c**4/3 - 48*c**3 - 391*c**2/3 - 73*c - 12.
(c - 4)*(c + 1)*(8*c + 3)**2/3
Let 3*z**2/4 - 3 = 0. Calculate z.
-2, 2
Factor 5*x**5/2 - 305*x**4/2 + 5395*x**3/2 - 29575*x**2/2.
5*x**2*(x - 35)*(x - 13)**2/2
Factor -5*k**4 - 470*k**3 - 11045*k**2.
-5*k**2*(k + 47)**2
Find z, given that z**2/4 + 3*z - 7 = 0.
-14, 2
Factor 225*v**2 - 65*v - 10.
5*(5*v - 2)*(9*v + 1)
Factor 16*y**3/11 - 114*y**2/11 + 206*y/11 - 24/11.
2*(y - 4)*(y - 3)*(8*y - 1)/11
Factor -4*i**2 + 196*i + 1824.
-4*(i - 57)*(i + 8)
Let -2*n**4/7 - 18*n**3/7 + 46*n**2/7 + 18*n/7 - 44/7 = 0. What is n?
-11, -1, 1, 2
Determine d, given that -2*d**3/3 + 6*d**2 = 0.
0, 9
Solve 9*a**5/2 - 3*a**4/4 - 39*a**3/4 + 3*a**2/4 + 21*a/4 = 0.
-1, 0, 1, 7/6
Suppose 3*j**4 + 102*j**3 - 333*j**2 + 12*j + 444 = 0. Calculate j.
-37, -1, 2
Solve o**5/7 + o**4 - 2*o**3/7 - 2*o**2 + o/7 + 1 = 0.
-7, -1, 1
Solve -3*h**3 + 90*h**2 - 459*h - 552 = 0 for h.
-1, 8, 23
Factor -3*t**2 - 93*t - 90.
-3*(t + 1)*(t + 30)
Factor -i**3/2 - 153*i**2/2 - 76*i.
-i*(i + 1)*(i + 152)/2
Factor a**2 + 28*a + 187.
(a + 11)*(a + 17)
Factor -u**3/2 + 61*u**2/2 + 125*u/2 + 63/2.
-(u - 63)*(u + 1)**2/2
Factor 2*c**3/3 + 1316*c**2/3 + 71720*c - 145200.
2*(c - 2)*(c + 330)**2/3
Factor -2*g**3/19 - 868*g**2/19 - 94178*g/19.
-2*g*(g + 217)**2/19
Factor -d**3 + 510*d**2 - 65025*d.
-d*(d - 255)**2
Let -4*l**4 + 44*l**3 - 140*l**2 + 100*l = 0. What is l?
0, 1, 5
Suppose 125*g**4 - 3025*g**3 + 3510*g**2 - 1388*g + 184 = 0. What is g?
2/5, 23
Let 2*b**5 + 12*b**4 + 14*b**3 - 36*b**2 - 88*b - 48 = 0. What is b?
-3, -2, -1, 2
Solve -5*b**3 - 2435*b**2 - 297675*b - 295245 = 0.
-243, -1
Factor 4*u**3 - 3992*u**2 + 7972*u - 3984.
4*(u - 996)*(u - 1)**2
Factor 2*t**4/11 + 1608*t**3/11 + 484812*t**2/11 + 64964808*t/11 + 3264481602/11.
2*(t + 201)**4/11
Factor -v**4/11 - 447*v**3/11 - 1332*v**2/11.
-v**2*(v + 3)*(v + 444)/11
Factor 4*n**3 - 656*n**2 - 4044*n - 6120.
4*(n - 170)*(n + 3)**2
Find l such that -4*l**4 + 24*l**3 + 3644*l**2 + 14160*l + 14000 = 0.
-25, -2, 35
Factor -5*x**3/3 - 730*x**2/3 - 1185*x - 1410.
-5*(x + 2)*(x + 3)*(x + 141)/3
Factor -g**3/5 + 7*g**2/5 + 18*g/5.
-g*(g - 9)*(g + 2)/5
Solve 3*c**2 - 315*c - 318 = 0.
-1, 106
Find s such that -2*s**4/5 + 4*s**3 - 42*s**2/5 = 0.
0, 3, 7
Factor -3*q**3/4 + 3525*q**2/2.
-3*q**2*(q - 2350)/4
Let 2*m**3 + 280*m**2 + 1094*m + 816 = 0. Calculate m.
-136, -3, -1
Determine n, given that n**2/6 - 5*n/2 - 9 = 0.
-3, 18
Suppose 2*d**2/13 + 994*d/13 + 992/13 = 0. What is d?
-496, -1
Let -4*z**5 - 36*z**4 + 48*z**3 + 80*z**2 = 0. Calculate z.
-10, -1, 0, 2
Suppose -3*p**5/5 + 76*p**4/5 - 81*p**3 + 176*p**2 - 852*p/5 + 304/5 = 0. Calculate p.
1, 4/3, 2, 19
Factor 3*m**4 + 495*m**3 - 4137*m**2 + 2745*m + 25950.
3*(m - 5)**2*(m + 2)*(m + 173)
Suppose j**3 + 8*j**2 - 23*j - 30 = 0. Calculate j.
-10, -1, 3
Factor 5*i**2 - 8880*i - 8885.
5*(i - 1777)*(i + 1)
Suppose -5*t**3 - 460*t**2 - 7905*t + 130050 = 0. Calculate t.
-51, 10
Determine m so that 5*m**4 - 15*m**3 + 5*m**2 + 15*m - 10 = 0.
-1, 1, 2
Factor 3*p**2 + 387*p - 390.
3*(p - 1)*(p + 130)
Factor x**3/5 - x**2/5 - 17*x/5 - 3.
(x - 5)*(x + 1)*(x + 3)/5
Solve -j**3/2 - 7*j**2/3 + 5*j/6 = 0.
-5, 0, 1/3
Factor 5*v**4 + 20*v**3 - 20*v**2 - 80*v.
5*v*(v - 2)*(v + 2)*(v + 4)
Factor v**2 - 4529*v + 4528.
(v - 4528)*(v - 1)
Solve -2*y**5/5 + 204*y**4/5 + 634*y**3/5 - 396*y**2/5 - 2504*y/5 - 336 = 0.
-2, -1, 2, 105
Find j such that 3*j**4 - 33*j**2 - 54*j - 24 = 0.
-2, -1, 4
Find c, given that -4*c**3/5 + 28*c**2/5 + 4*c/5 - 28/5 = 0.
-1, 1, 7
Factor -147*a**3/5 - 63*a**2 - 216*a/5 - 48/5.
-3*(a + 1)*(7*a + 4)**2/5
Solve 5*t**3 - 20*t**2 - 20*t + 80 = 0 for t.
-2, 2, 4
Factor 3*q**5 - 66*q**4 + 552*q**3 - 2160*q**2 + 3888*q - 2592.
3*(q - 6)**3*(q - 2)**2
Solve -32*p**5 + 152*p**4 + 1143*p**3/2 - 486*p**2 + 189*p/2 = 0 for p.
-3, 0, 3/8, 7
Suppose 12*s**4 - 32*s**3 - 12*s**2 = 0. Calculate s.
-1/3, 0, 3
Factor 5*n**3 - 340*n**2 + 975*n.
5*n*(n - 65)*(n - 3)
Determine b, given that 4*b**3/5 - 36*b**2/5 + 24*b/5 + 64/5 = 0.
-1, 2, 8
Determine v so that -5*v**5 - 25*v**4 - 35*v**3 + 5*v**2 + 40*v + 20 = 0.
-2, -1, 1
Suppose 2*o**3/17 - 580*o**2/17 - 1166*o/17 - 584/17 = 0. Calculate o.
-1, 292
Find k such that 5*k**4 - 5*k**3 - 365*k**2 + 5*k + 360 = 0.
-8, -1, 1, 9
Solve 18*k**4/7 + 4*k**3/7 - 18*k**2/7 - 4*k/7 = 0.
-1, -2/9, 0, 1
Solve -h**4/4 + 3*h**3/2 + 81*h**2/4 + 65*h/2 = 0.
-5, -2, 0, 13
Factor 4*q**2 - 4*q.
4*q*(q - 1)
Factor 16*v**2/5 + 22*v/5 + 6/5.
2*(v + 1)*(8*v + 3)/5
Factor -4*g**3 + 2028*g**2 - 342732*g + 19307236.
-4*(g - 169)**3
Factor 27*z**4 + 258*z**3 + 744*z**2 + 480*z - 384.
3*(z + 2)*(z + 4)**2*(9*z - 4)
Factor -2*x**3/17 - 22*x**2/17 + 50*x/17 - 26/17.
-2*(x - 1)**2*(x + 13)/17
Determine i so that 4*i**2/7 - 72*i/7 + 32 = 0.
4, 14
Factor 4*f**4 - 220*f**3 - 456*f**2.
4*f**2*(f - 57)*(f + 2)
Factor -d**3/3 + d**2/3 + 2*d/3.
-d*(d - 2)*(d + 1)/3
Determine n so that -4*n**5/9 + 14*n**4/9 - 16*n**3/9 + 4*n**2/9 + 4*n/9 - 2/9 = 0.
-1/2, 1
Let s**3/8 + 4813*s**2/8 + 5788835*s/8 - 5793649/8 = 0. Calculate s.
-2407, 1
Factor -65*a**3 + 10*a**2 + 65*a - 10.
-5*(a - 1)*(a + 1)*(13*a - 2)
Suppose -4*i**2 + 108*i + 232 = 0. What is i?
-2, 29
Factor -3*g**4 + 708*g**3.
-3*g**3*(g - 236)
Find q such that 2*q**5/3 - 44*q**4/3 - 32*q**3 = 0.
-2, 0, 24
Let -3*q**2/2 + 7620*q - 9677400 = 0. What is q?
2540
Factor 2*u**4 - 24*u**3 + 54*u**2 + 8*u - 72.
2*(u - 9)*(u - 2)**2*(u + 1)
Factor 5*v**2 + 560*v + 1100.
5*(v + 2)*(v + 110)
Solve -2*n**2/3 + 3416*n/3 - 1458632/3 = 0.
854
Factor 5*a**3/4 - 5*a**2/4 - 15*a/2.
5*a*(a - 3)*(a + 2)/4
Factor -94*a**2 - 4*a.
-2*a*(47*a + 2)
Factor a**5 - 9*a**4 + 26*a**3 - 18*a**2 - 27*a + 27.
(a - 3)**3*(a - 1)*(a + 1)
Solve 4*z**4 - 368*z**3 + 6720*z**2 + 88000*z - 200000 = 0.
-10, 2, 50
Factor 3*h**5 + 9*h**4 - 9*h**3 - 21*h**2 + 18*h.
3*h*(h - 1)**2*(h + 2)*(h + 3)
Find y, given that -3*y**3 - 159*y**2 + 3*y + 159 = 0.
-53, -1, 1
Factor -j**4/2 - 397*j**3 - 156813*j**2/2 + 158006*j - 79202.
-(j - 1)**2*(j + 398)**2/2
Factor -5*v**3 - 135*v**2 + 14580.
-5*(v - 9)*(v + 18)**2
Factor x**2 - 14*x + 24.
(x - 12)*(x - 2)
Factor k**4 - 4*k**3 + 5*k**2 - 2*k.
k*(k - 2)*(k - 1)**2
Find s such that 2*s**4 + 430*s**3 - 434*s**2 - 430*s + 432 = 0.
-216, -1, 1
What is d in -21*d**3/5 - 558*d**2/5 - 837*d/5 - 60 = 0?
-25, -1, -4/7
Factor -4*o**4/5 + 12*o**3/5 + 24*o**2/5 - 32*o/5.
-4*o*(o - 4)*(o - 1)*(o + 2)/5
Determine x so that -3*x**5 - 24*x**4 - 45*x**3 + 24*x**2 + 48*x = 0.
-4, -1, 0, 1
What is z in 25*z**5/4 + 465*z**4/4 + 265*z**3 + 75*z**2 - 80*z = 0?
-16, -2, -1, 0, 2/5
Solve -q**3/4 + 7*q**2/2 - 10*q = 0.
0, 4, 10
Suppose 3*r**5 - 63*r**4 - 858*r**3 + 18474*r**2 + 855*r - 18411 = 0. What is r?
-17, -1, 1, 19
Factor 3*h**4/2 - 57*h**3/2 + 189