*v**3 + 5*v**2 - 70*v = 0. Calculate v.
-2, 0, 7/4
Determine l so that -3*l**5/7 + 645*l**4/7 - 55470*l**3/7 + 2385210*l**2/7 - 51282015*l/7 + 441025329/7 = 0.
43
Factor -2*y**5/7 - 4*y**4/7 + 638*y**3/7 + 4840*y**2/7.
-2*y**2*(y - 20)*(y + 11)**2/7
Solve -4*c**5 - 204*c**4 - 392*c**3 = 0.
-49, -2, 0
What is w in -w**2/5 - 46*w/5 + 96/5 = 0?
-48, 2
Factor -5*j**4 - 285*j**3 - 2940*j**2 - 11120*j - 14400.
-5*(j + 4)**3*(j + 45)
Let l**4 - 24*l**3 + 22*l**2 + 24*l - 23 = 0. What is l?
-1, 1, 23
Suppose 2*o**5/3 - 278*o**4/3 + 10592*o**3/3 - 21744*o**2 + 47520*o - 34848 = 0. What is o?
2, 3, 66
Factor p**4/4 - 223*p**3/4 + 221*p**2/4 + 223*p/4 - 111/2.
(p - 222)*(p - 1)**2*(p + 1)/4
Let s**2/6 + 23*s/3 + 529/6 = 0. What is s?
-23
Factor -v**3/3 + 2*v**2 - v - 10/3.
-(v - 5)*(v - 2)*(v + 1)/3
Let -3*l**5/2 + 18*l**4 + 189*l**3/2 + 33*l**2 - 144*l = 0. Calculate l.
-3, -2, 0, 1, 16
Let -d**3/4 + 17*d**2/4 + 9*d/2 = 0. What is d?
-1, 0, 18
Solve -5283*b**3 - 10560*b**2 - 5271*b + 6 = 0 for b.
-1, 2/1761
Factor 2*b**4 - 288*b**3 - 882*b**2.
2*b**2*(b - 147)*(b + 3)
Find i, given that 3*i**4/5 - 12*i**3/5 + 6*i**2/5 + 12*i/5 - 9/5 = 0.
-1, 1, 3
Factor 2*i**2/9 - 4*i + 112/9.
2*(i - 14)*(i - 4)/9
Let 27*k**5 + 249*k**4 + 270*k**3 + 48*k**2 = 0. Calculate k.
-8, -1, -2/9, 0
Suppose l**5/2 + 3*l**4 - l**3/2 - 3*l**2 = 0. What is l?
-6, -1, 0, 1
Factor d**2/11 + 1088*d/11 + 295936/11.
(d + 544)**2/11
What is d in -d**2 - 426*d + 1720 = 0?
-430, 4
Factor 5*n**2 + 1000*n - 4080.
5*(n - 4)*(n + 204)
Determine l so that 5*l**4 - 70*l**3 + 245*l**2 = 0.
0, 7
Factor -3*b**3/7 - 2244*b**2/7 - 419628*b/7.
-3*b*(b + 374)**2/7
Find f such that -5*f**3 - 10*f**2 + 160*f + 480 = 0.
-4, 6
Let -2*t**2/3 + 184*t/3 - 4232/3 = 0. Calculate t.
46
Find p, given that -3*p**2 - 96*p - 768 = 0.
-16
Let 2*j**2 - 170*j + 332 = 0. Calculate j.
2, 83
Let 5*f**3 + 195*f**2 + 1555*f - 1755 = 0. Calculate f.
-27, -13, 1
Suppose 2*o**5/7 - 6*o**4/7 - 2*o**3/7 + 2*o**2 - 8/7 = 0. What is o?
-1, 1, 2
Let m**2 + 43*m + 306 = 0. Calculate m.
-34, -9
Factor -3*s**5 - 36*s**4 + 81*s**3 - 42*s**2.
-3*s**2*(s - 1)**2*(s + 14)
Factor -20*a**4 + 32*a**3 + 76*a**2 + 24*a.
-4*a*(a - 3)*(a + 1)*(5*a + 2)
Factor 5*a**3 - 42*a**2 - 624*a + 256.
(a - 16)*(a + 8)*(5*a - 2)
Let 5*s**2/3 + 7*s/3 - 2 = 0. What is s?
-2, 3/5
Factor i**3/8 - i**2/8.
i**2*(i - 1)/8
Suppose 3*v**3 - 51*v**2 - 414*v = 0. What is v?
-6, 0, 23
Factor -24*v**4 - 196*v**3 + 184*v**2 + 36*v.
-4*v*(v - 1)*(v + 9)*(6*v + 1)
Factor -2*a**3/9 + 230*a**2/9 - 5456*a/9 - 7688.
-2*(a - 62)**2*(a + 9)/9
Let -4*k**2 + 8*k = 0. What is k?
0, 2
Suppose -2*c**3/5 + 52*c**2/5 - 288*c/5 = 0. What is c?
0, 8, 18
Solve -h**2 - 1785*h + 1786 = 0.
-1786, 1
What is c in 2*c**2/19 - 192*c/19 + 2686/19 = 0?
17, 79
Determine t, given that 2*t**2/3 - 7000*t/3 + 6125000/3 = 0.
1750
Factor g**4/3 + 2*g**3/3 - 4*g**2 + 14*g/3 - 5/3.
(g - 1)**3*(g + 5)/3
Factor -4*c**5 + 56*c**4 - 100*c**3 + 48*c**2.
-4*c**2*(c - 12)*(c - 1)**2
Suppose 9*s**2/8 - 51*s/2 - 69/8 = 0. What is s?
-1/3, 23
Factor h**3/5 + 4*h**2 + 89*h/5 - 22.
(h - 1)*(h + 10)*(h + 11)/5
Factor t**3/3 + 13*t**2/3 + 40*t/3.
t*(t + 5)*(t + 8)/3
Let -q**4/6 - 5*q**3/6 - 2*q**2/3 = 0. What is q?
-4, -1, 0
Solve -107*u**2/3 - 212*u/3 + 4/3 = 0 for u.
-2, 2/107
Find h, given that -h**5/5 + 10*h**4 - 573*h**3/5 - 260*h**2 - 676*h/5 = 0.
-1, 0, 26
Suppose 3*h**5/4 - 7*h**4/4 - 27*h**3/2 - 17*h**2 - 6*h = 0. What is h?
-2, -1, -2/3, 0, 6
Factor -2*k**3 + 6*k - 4.
-2*(k - 1)**2*(k + 2)
Let 5*x**4/2 - 77*x**3/6 + 5*x**2/3 = 0. Calculate x.
0, 2/15, 5
Factor -6*q**3 + 9*q**2 + 6*q - 9.
-3*(q - 1)*(q + 1)*(2*q - 3)
Suppose 2*o**3/13 + 12*o**2/13 + 6*o/13 - 20/13 = 0. What is o?
-5, -2, 1
Factor 2*k**2 - 152*k.
2*k*(k - 76)
Factor y**3/3 + 1345*y**2/3 - 2693*y/3 + 449.
(y - 1)**2*(y + 1347)/3
Factor 2*h**3/7 + 3918*h**2/7 + 2558454*h/7 + 556890154/7.
2*(h + 653)**3/7
Solve -3*n**2 + 852*n - 60492 = 0 for n.
142
Factor -q**4/10 - q**3/2 + 31*q**2/10 - 43*q/10 + 9/5.
-(q - 2)*(q - 1)**2*(q + 9)/10
Factor 9*b**3 - 3693*b**2 - 2469*b + 1233.
3*(b - 411)*(b + 1)*(3*b - 1)
Determine r, given that -3*r**4/4 + 18*r**3 + 255*r**2/4 - 81*r = 0.
-4, 0, 1, 27
Factor 3*n**2 - 213*n + 3060.
3*(n - 51)*(n - 20)
Determine k so that -12*k**3 - 40*k**2 - 12*k = 0.
-3, -1/3, 0
Factor 2*f**2/7 + 6*f/7 - 20/7.
2*(f - 2)*(f + 5)/7
Determine s, given that -3*s**2/7 + 324*s/7 - 8748/7 = 0.
54
Factor -3*f**3 - 78*f**2 - 672*f - 1920.
-3*(f + 8)**2*(f + 10)
Factor -i**3/7 + 408*i**2/7 - 41205*i/7 - 84050/7.
-(i - 205)**2*(i + 2)/7
Factor -3*p**3 - 18*p**2 + 48*p.
-3*p*(p - 2)*(p + 8)
Factor b**2/4 + 3*b/2 + 9/4.
(b + 3)**2/4
Factor 2*w**5/7 + 148*w**4 + 200720*w**3/7 + 17170400*w**2/7 + 536068000*w/7 - 1142440000/7.
2*(w - 2)*(w + 130)**4/7
Find d, given that -5*d**2 - 55*d + 130 = 0.
-13, 2
Let 4*z**3 - 304*z**2 + 4964*z - 4664 = 0. Calculate z.
1, 22, 53
Suppose 4*d**4/5 - 59*d**3/5 - 19*d**2/5 + 59*d/5 + 3 = 0. Calculate d.
-1, -1/4, 1, 15
Factor -2*q**3 + 9*q**2 + 15*q - 22.
-(q - 1)*(q + 2)*(2*q - 11)
Factor 4*k**2 - 28*k + 48.
4*(k - 4)*(k - 3)
Factor 2*w**2/5 - 26*w/5.
2*w*(w - 13)/5
Find o, given that -o**5/4 + 3*o**4 - 4*o**3 - 51*o**2/2 + 17*o/4 + 45/2 = 0.
-2, -1, 1, 5, 9
Solve 16*f**2/9 - 74*f/9 + 40/9 = 0.
5/8, 4
Find h, given that -h**4/2 - 5*h**3 - 21*h**2/2 + 20*h + 50 = 0.
-5, -2, 2
Find m such that m**3/5 + 31*m**2/5 - 66*m/5 = 0.
-33, 0, 2
Factor 4*h**2 - 6624*h + 2742336.
4*(h - 828)**2
Let -t**2/3 + 2*t/3 + 21 = 0. Calculate t.
-7, 9
What is r in -4*r**5 - 144*r**4 - 408*r**3 - 400*r**2 - 132*r = 0?
-33, -1, 0
Factor 5*m**4 + 28095*m**3 + 52621935*m**2 + 32853628085*m.
5*m*(m + 1873)**3
Let -3*r**2 - 735*r + 738 = 0. Calculate r.
-246, 1
Let 9*z**5/5 - 38*z**4/5 - 73*z**3/5 + 162*z**2/5 + 148*z/5 - 8 = 0. What is z?
-2, -1, 2/9, 2, 5
Factor -3*c**4/2 + 21*c**2/2 + 9*c.
-3*c*(c - 3)*(c + 1)*(c + 2)/2
Find x, given that 11451*x**3 + 6*x**2 = 0.
-2/3817, 0
Factor 2*r**3/5 - 954*r**2/5 - 3842*r/5 - 2886/5.
2*(r - 481)*(r + 1)*(r + 3)/5
Factor -4*w**2 - 3032*w - 574564.
-4*(w + 379)**2
Let 10*b**3/3 - 12*b**2 - 226*b/3 - 28 = 0. What is b?
-3, -2/5, 7
Factor -f**3/6 - 67*f**2/6 - 158*f/3 - 62.
-(f + 2)*(f + 3)*(f + 62)/6
Factor -5*s**4 + 30*s**3 - 40*s**2 - 30*s + 45.
-5*(s - 3)**2*(s - 1)*(s + 1)
Factor q**3/2 - 9*q**2/2 + 13*q - 12.
(q - 4)*(q - 3)*(q - 2)/2
Factor -r**3 - 334*r**2 + 335*r.
-r*(r - 1)*(r + 335)
Suppose -v**5/5 + 97*v**4/5 - 378*v**3/5 + 562*v**2/5 - 373*v/5 + 93/5 = 0. Calculate v.
1, 93
Find q such that -q**3/4 + 39*q**2/2 + q/4 - 39/2 = 0.
-1, 1, 78
Factor -4*p**3 - 3652*p**2 - 14560*p - 14544.
-4*(p + 2)**2*(p + 909)
Factor 4*y**5 - 28*y**4 - 108*y**3 - 116*y**2 - 40*y.
4*y*(y - 10)*(y + 1)**3
Determine r so that r**3 - 6*r**2 - r + 6 = 0.
-1, 1, 6
Factor -4*m**2 + 424*m - 11236.
-4*(m - 53)**2
Determine w so that w**2/2 + 7*w/2 = 0.
-7, 0
Determine h, given that 2*h**5/5 - 26*h**4/5 + 2*h**3 + 34*h**2 - 12*h/5 - 144/5 = 0.
-2, -1, 1, 3, 12
Let 3*n**5/2 + 57*n**4 - 1737*n**3/2 + 1560*n**2 - 750*n = 0. Calculate n.
-50, 0, 1, 10
Factor -2*z**3 + 18*z**2 - 12*z - 32.
-2*(z - 8)*(z - 2)*(z + 1)
Suppose 2*k**2/7 + 26*k/7 - 96/7 = 0. What is k?
-16, 3
Determine k so that 2*k**3/5 + 38*k**2/5 + 20*k + 64/5 = 0.
-16, -2, -1
Factor 20*c**2 + 5*c.
5*c*(4*c + 1)
Let 3*r**3/4 - 123*r**2/4 + 30*r = 0. Calculate r.
0, 1, 40
Suppose 20*c**3 - 428*c**2 + 168*c = 0. What is c?
0, 2/5, 21
Factor i**2/3 - 112*i/3 + 3136/3.
(i - 56)**2/3
Factor -5*q**4 - 5*q**3 + 110*q**2 - 220*q + 120.
-5*(q - 2)**2*(q - 1)*(q + 6)
What is p in 3*p**4/2 + 17*p**3/2 + 11*p**2 + 4*p = 0?
-4, -1, -2/3, 0
Factor -2*w**5 + 40*w**4 + 88*w**3.
-2*w**3*(w - 22)*(w + 2)
Let 4*w**4 + 176*w**3 + 2904*w**2 + 21296*w + 58564 = 0. Calculate w.
-11
Solve -2*p**5 + 36*p**3 + 64*p**2 + 30*p = 0.
-3, -1, 0, 5
Determine v so that 56*v**5/13 + 54*v**4/13 - 230*v**3/13 - 220*v**2/13 + 24*v/13 + 16/13 = 0.
-2, -1, -1/4, 2/7, 2
Let 16*b**3 + 46*b**2 + 30*b = 0. What is b?
-15/8, -1, 0
Find f, given that 7*f**4 - 40*f**3 - 229*f**2 + 778*f + 240 = 0.
-5, -2/7, 3, 8
Factor -125*k**4/2 - 14225*k**3/2 + 8595*k**2 - 3446*k + 460.
-(k + 115)*(5*k - 2)**3/2
Factor -2*f**3 + 30*f**2 + 2*f - 30.
-2*(f - 15)*(f - 1)*(f + 1)
What is y in -5*y**2 + 1485*y + 2990