122*a - 40 = 0 for a.
-20, -1
Let -4*w**2 + 80*w - 336 = 0. What is w?
6, 14
Factor 21928*h**2 + 10980*h + 8.
4*(2*h + 1)*(2741*h + 2)
Factor y**2/10 + 497*y/10 + 248/5.
(y + 1)*(y + 496)/10
Factor -2*o**2 - 36*o + 38.
-2*(o - 1)*(o + 19)
Determine v so that -2*v**4/5 + 22*v**3 - 1452*v**2/5 - 1792*v/5 + 3136/5 = 0.
-2, 1, 28
Solve -3*y**2 + 1398*y = 0 for y.
0, 466
Factor 2*l**4 + 76*l**3 + 776*l**2 + 1332*l + 630.
2*(l + 1)**2*(l + 15)*(l + 21)
Factor -4*n**4 + 12*n**3 + 24*n**2 - 32*n.
-4*n*(n - 4)*(n - 1)*(n + 2)
Factor -4*h**3 + 456*h**2 + 4*h - 456.
-4*(h - 114)*(h - 1)*(h + 1)
Suppose 54*d**4/5 - 756*d**3/5 + 714*d**2/5 - 156*d/5 = 0. Calculate d.
0, 1/3, 2/3, 13
Factor -5*w**4/3 + 5*w**3/3 + 260*w**2.
-5*w**2*(w - 13)*(w + 12)/3
Determine i, given that 4*i**3 - 8500*i**2 = 0.
0, 2125
Solve 26*s**3/5 - 6*s**2 + 4*s/5 = 0.
0, 2/13, 1
Factor 4*z**2 + 268*z + 4440.
4*(z + 30)*(z + 37)
Factor -2*t**3/23 - 90*t**2/23 + 4*t.
-2*t*(t - 1)*(t + 46)/23
Factor 2*j**5/13 - 214*j**4/13 + 464*j**3 - 1248*j**2.
2*j**2*(j - 52)**2*(j - 3)/13
Factor -35*u**2 + 10*u + 25.
-5*(u - 1)*(7*u + 5)
Determine l so that -3*l**5/8 - 15*l**4/8 + 411*l**3/8 + 3351*l**2/8 + 678*l + 312 = 0.
-8, -1, 13
Find x, given that -2*x**3/5 - 294*x**2/5 - 14406*x/5 - 235298/5 = 0.
-49
Determine r, given that -r**3/5 - 122*r**2/5 + 247*r/5 - 124/5 = 0.
-124, 1
Factor -5*f**2 - 1940*f.
-5*f*(f + 388)
Factor -2*p**2/17 + 28*p/17 - 98/17.
-2*(p - 7)**2/17
Factor 4*n**4 + 912*n**3 + 43128*n**2 - 1009584*n + 4901796.
4*(n - 9)**2*(n + 123)**2
Let 2*v**2/19 - 8/19 = 0. Calculate v.
-2, 2
Find x, given that 28*x**5 + 132*x**4 + 184*x**3 + 48*x**2 - 32*x = 0.
-2, -1, 0, 2/7
Let 15*k**2/7 + 162*k/7 - 33/7 = 0. Calculate k.
-11, 1/5
Suppose -4*j**3/3 + 58*j**2 - 710*j/3 + 104 = 0. Calculate j.
1/2, 4, 39
Determine n, given that n**3 - 6*n**2 = 0.
0, 6
Let -4*w**3 - 52*w**2 - 208*w - 240 = 0. What is w?
-6, -5, -2
Find k, given that -2*k**3/15 + 276*k**2 - 5512*k/5 + 16528/15 = 0.
2, 2066
Solve -7*c**5 + 26*c**4 + 57*c**3 - 56*c**2 - 20*c = 0 for c.
-2, -2/7, 0, 1, 5
Find d such that -27*d**4 - 1827*d**3 + 4362*d**2 - 3348*d + 840 = 0.
-70, 2/3, 1
Factor v**3/6 + v**2/6 - 37*v/6 + 35/6.
(v - 5)*(v - 1)*(v + 7)/6
Determine i so that 2*i**2/9 - 3676*i/9 + 1689122/9 = 0.
919
Factor -4*q**4 - 12*q**3 + 132*q**2 - 212*q + 96.
-4*(q - 3)*(q - 1)**2*(q + 8)
Factor 11*n**2/5 + 4*n - 4/5.
(n + 2)*(11*n - 2)/5
Factor 5*z**2 - 35*z + 60.
5*(z - 4)*(z - 3)
Factor -6*p**3 - 33*p**2 + 21*p + 18.
-3*(p - 1)*(p + 6)*(2*p + 1)
Solve -2*d**2 - 2414*d - 2412 = 0.
-1206, -1
Factor 2*p**5 - 10*p**4 - 12*p**3 + 44*p**2 + 74*p + 30.
2*(p - 5)*(p - 3)*(p + 1)**3
Determine c so that -36*c**5 - 1484*c**4 - 16168*c**3 - 17920*c**2 - 3200*c = 0.
-20, -1, -2/9, 0
Suppose 3*d**5/5 - 51*d**4/5 + 303*d**3/5 - 813*d**2/5 + 198*d - 432/5 = 0. What is d?
1, 2, 3, 8
Solve 2*w**4/13 + 4*w**3/13 - 10*w**2/13 - 12*w/13 = 0 for w.
-3, -1, 0, 2
Factor 2*b**3/11 - 32*b**2/11 + 138*b/11 - 180/11.
2*(b - 10)*(b - 3)**2/11
Solve -2*j**3/9 + 12*j**2 - 106*j/9 = 0.
0, 1, 53
What is z in -3*z**4 + 156*z**3 - 1743*z**2 + 5586*z = 0?
0, 7, 38
Determine q, given that q**2 - 134*q + 4489 = 0.
67
Suppose -x**4 + 11*x**3 - 19*x**2 + 9*x = 0. Calculate x.
0, 1, 9
Factor -2*o**3/9 - 2*o**2.
-2*o**2*(o + 9)/9
Find m, given that -4*m**5 + 264*m**4 - 756*m**3 - 16*m**2 + 1008*m = 0.
-1, 0, 2, 63
Solve -6*q**5/7 + 120*q**4/7 - 660*q**3/7 + 600*q**2/7 + 198*q = 0.
-1, 0, 3, 7, 11
Suppose f**2/5 + 578*f/5 - 1743/5 = 0. Calculate f.
-581, 3
Factor 3*p**2 + 4725*p - 4728.
3*(p - 1)*(p + 1576)
Factor r**4/3 - 2*r**3 - 7*r**2/3.
r**2*(r - 7)*(r + 1)/3
Solve 3*j**3/2 - 63*j**2/2 - 135*j/2 - 69/2 = 0.
-1, 23
Let 2*j**4/3 - 634*j**3/3 + 1258*j**2/3 + 634*j/3 - 420 = 0. What is j?
-1, 1, 2, 315
Solve -m**2 + 4341*m + 4342 = 0.
-1, 4342
Let u**2/5 - 26*u/5 + 169/5 = 0. Calculate u.
13
Let 4*y**3 + 40*y**2 - 1292*y + 1248 = 0. Calculate y.
-24, 1, 13
Let -5*f**3 - 40*f**2 + 95*f - 50 = 0. Calculate f.
-10, 1
Suppose 3*h**3 - 78*h**2 + 69*h + 150 = 0. What is h?
-1, 2, 25
Suppose 5*q**2 - 70*q - 600 = 0. Calculate q.
-6, 20
Let -2*p**5 - 22*p**4/3 + 28*p**3 - 8*p**2/3 - 16*p = 0. What is p?
-6, -2/3, 0, 1, 2
Find h such that -5*h**2 - 1385*h + 12870 = 0.
-286, 9
Determine k so that k**4 + 3*k**3 - 4*k = 0.
-2, 0, 1
Find c, given that -7*c**5/2 - 8*c**4 + 17*c**3/2 + 31*c**2 + 22*c + 4 = 0.
-2, -1, -2/7, 2
Factor -3*b**2 + 9786*b - 7980483.
-3*(b - 1631)**2
Factor 2*c**4 - 34*c**3 + 210*c**2 - 550*c + 500.
2*(c - 5)**3*(c - 2)
Suppose -2*w**2/7 + 564*w/7 - 39762/7 = 0. Calculate w.
141
Factor -c**3/2 + 9*c**2/2 + 2*c - 18.
-(c - 9)*(c - 2)*(c + 2)/2
Factor -4*z**4 + 32*z**3 + 12*z**2 - 88*z - 64.
-4*(z - 8)*(z - 2)*(z + 1)**2
Factor -3*r**2/2 + 14*r + 138.
-(r + 6)*(3*r - 46)/2
Solve b**2/2 - 3*b/2 = 0.
0, 3
Factor 2*o**5/5 - 16*o**4/5 + 10*o**3 - 76*o**2/5 + 56*o/5 - 16/5.
2*(o - 2)**3*(o - 1)**2/5
Factor -4*w**2 + 312*w + 640.
-4*(w - 80)*(w + 2)
Factor r**3/5 + 9*r**2/5 - 34*r/5 + 24/5.
(r - 2)*(r - 1)*(r + 12)/5
Determine o, given that 3*o**3/4 + 6*o**2 + 45*o/4 = 0.
-5, -3, 0
Determine a, given that -2*a**4/3 + 68*a**3/3 + 2*a**2 - 208*a/3 + 136/3 = 0.
-2, 1, 34
What is t in -121*t**5 + 1936*t**4 - 3384*t**3 - 64*t**2 + 112*t = 0?
-2/11, 0, 2/11, 2, 14
Find m such that 2*m**3/7 + 136*m**2/7 + 38*m + 132/7 = 0.
-66, -1
Let -4*n**2 + 376*n - 4740 = 0. Calculate n.
15, 79
Find v, given that 3*v**2 + 1245*v - 5028 = 0.
-419, 4
Suppose c**2/6 - 100*c/3 - 627/2 = 0. Calculate c.
-9, 209
Factor -5*v**4 + 56*v**3 - 61*v**2 + 10*v.
-v*(v - 10)*(v - 1)*(5*v - 1)
Factor -5*a**2 + 105*a - 190.
-5*(a - 19)*(a - 2)
Factor q**5/4 - 2*q**4 + 25*q**3/4 - 19*q**2/2 + 7*q - 2.
(q - 2)**3*(q - 1)**2/4
Solve 2*z**3 - 1128*z**2 - 2262*z - 1132 = 0 for z.
-1, 566
Solve 12*z**5 - 476*z**4 - 1156*z**3 - 836*z**2 - 168*z = 0 for z.
-1, -1/3, 0, 42
Factor 4*l**3/7 - 2188*l**2/7 - 4388*l/7 - 2196/7.
4*(l - 549)*(l + 1)**2/7
What is r in -r**2/3 + 610*r/3 - 93025/3 = 0?
305
Find l, given that l**3/6 + 2*l**2 - 13*l/6 = 0.
-13, 0, 1
Factor 4*w**2 - 168*w - 540.
4*(w - 45)*(w + 3)
Factor -3*y**3 + 18*y**2 - 27*y + 12.
-3*(y - 4)*(y - 1)**2
Determine a so that -5*a**4 - 170*a**3 - 1745*a**2 - 5100*a - 4500 = 0.
-15, -2
Let 11*t**3/8 + 79*t**2/8 - 37*t/4 - 2 = 0. Calculate t.
-8, -2/11, 1
Factor -3*o**2/7 - 2082*o/7 - 361227/7.
-3*(o + 347)**2/7
Let j**4 - 17*j**3 + 6*j**2 + 152*j + 128 = 0. What is j?
-2, -1, 4, 16
What is y in 3*y**5 + 45*y**4 + 144*y**3 - 192*y**2 = 0?
-8, 0, 1
Suppose 86*f**2 - 89*f + 3 = 0. What is f?
3/86, 1
Factor 3*g**4 - 9*g**3 - 9*g**2 + 21*g + 18.
3*(g - 3)*(g - 2)*(g + 1)**2
Determine x, given that -11*x**5/4 - x**4/4 + 111*x**3/4 + 229*x**2/4 + 44*x + 12 = 0.
-12/11, -1, 4
Factor 3*b**3 + 66*b**2 + 111*b - 180.
3*(b - 1)*(b + 3)*(b + 20)
Find p such that -20*p**4/3 + 62*p**3/3 - 70*p**2/3 + 34*p/3 - 2 = 0.
1/2, 3/5, 1
Find g such that 4*g**4 - 152*g**3/3 + 28*g**2 + 152*g/3 - 32 = 0.
-1, 2/3, 1, 12
Factor 5*i**5/4 - 35*i**4/2 + 75*i**3 - 90*i**2.
5*i**2*(i - 6)**2*(i - 2)/4
Factor -5*n**2 - 10*n + 120.
-5*(n - 4)*(n + 6)
Suppose -6*d**4 + 22*d**3 - 12*d**2 - 24*d + 16 = 0. Calculate d.
-1, 2/3, 2
Determine h so that 3*h**4 + 9*h**3 + 3*h**2 - 9*h - 6 = 0.
-2, -1, 1
Factor 2*h**2/13 + 700*h/13 - 3550/13.
2*(h - 5)*(h + 355)/13
Solve -y**3/11 - 7*y**2/11 + 9*y/11 + 63/11 = 0 for y.
-7, -3, 3
Suppose -2*o**2/5 - 38*o/5 - 36/5 = 0. Calculate o.
-18, -1
Find c such that -2*c**5/3 - 8*c**4/3 + 2*c**3 + 68*c**2/3 + 104*c/3 + 16 = 0.
-2, -1, 3
Solve l**5 - 7*l**4 + 19*l**3 - 25*l**2 + 16*l - 4 = 0.
1, 2
Factor 35*i**4 - 135*i**3 + 100*i**2.
5*i**2*(i - 1)*(7*i - 20)
Factor f**5 + 4*f**4 - 3*f**3 - 10*f**2 + 8*f.
f*(f - 1)**2*(f + 2)*(f + 4)
Determine o, given that 3*o**3 - 106*o**2/3 - 8*o = 0.
-2/9, 0, 12
Factor c**3 - 10*c**2 + 33*c - 36.
(c - 4)*(c - 3)**2
Factor -s**2/5 - 28*s - 1419/5.
-(s + 11)*(s + 129)/5
Determine m so that 2*m**2/3 + 2*m/3 = 0.
-1, 0
Factor q**2 + 92*q + 2116.
(q + 46)**2
Factor -2*c**3 - 3066*c**2 - 1173510*c + 1176578.
-2*(c - 1)*(c + 767)**2
Determine l, given that 4*l**3 - 2104*l**2 + 4196*l - 2096 = 0.
1, 524
Determine d, given that -d**3/4 + d**2/2 + 11*d/4 - 3 = 0.
-3, 1, 4
Solve 3*k**4/7 + 141*k**3/7 + 1581*k**2/7 - 1725*k/7 = 