 0.
-1, 1/2, 3
Let 2*j**4 - 56*j**3 + 342*j**2 - 400*j - 800 = 0. Calculate j.
-1, 4, 5, 20
Factor 3*h**2 - 603*h - 1218.
3*(h - 203)*(h + 2)
Let -l**3/4 - 5*l**2 - 25*l = 0. What is l?
-10, 0
Factor 4*x**4 - 1004*x**3.
4*x**3*(x - 251)
Suppose -2*n**2 + 12*n - 18 = 0. What is n?
3
Find k, given that -k**2/5 + 3*k/5 + 28/5 = 0.
-4, 7
Factor l**5 + 7*l**4/3 + l**3 - l**2 - 2*l/3.
l*(l + 1)**3*(3*l - 2)/3
Let 8*h**5 - 28*h**4 - 4*h**3 + 104*h**2 - 112*h + 32 = 0. Calculate h.
-2, 1/2, 1, 2
Find u such that -2*u**2/13 + 960*u/13 - 3808/13 = 0.
4, 476
Factor -b**4/8 - 3*b**3/8 + 5*b**2/8 + 3*b/8 - 1/2.
-(b - 1)**2*(b + 1)*(b + 4)/8
Determine m, given that -4*m**2 - 616*m - 23716 = 0.
-77
Solve -h**4/3 + 5*h**3/3 + 10*h**2/3 - 20*h/3 - 8 = 0 for h.
-2, -1, 2, 6
What is t in -36*t**2 + 44*t - 8 = 0?
2/9, 1
Factor 9075*d**2 - 53460*d + 78732.
3*(55*d - 162)**2
Determine p, given that -8*p**5 - 226*p**4/3 + 494*p**3 - 268*p**2 + 112*p/3 = 0.
-14, 0, 1/4, 1/3, 4
Factor 4*c**5 + 20*c**4 + 12*c**3 - 36*c**2.
4*c**2*(c - 1)*(c + 3)**2
What is n in 6*n**3/5 - 162*n**2/5 - 630*n - 12054/5 = 0?
-7, 41
Determine m, given that 9*m**4 + 339*m**3 - 471*m**2 - 111*m + 234 = 0.
-39, -2/3, 1
Determine r so that 4*r**5/7 + 48*r**4/7 + 204*r**3/7 + 368*r**2/7 + 240*r/7 = 0.
-5, -3, -2, 0
Factor 5*w**2 + 185*w + 350.
5*(w + 2)*(w + 35)
Determine r, given that -3*r**3/2 - 837*r**2/4 - 4437*r/4 - 1005/2 = 0.
-134, -5, -1/2
What is s in 2*s**3/7 - 292*s**2/7 + 10658*s/7 = 0?
0, 73
Solve 2*n**2 + 18156*n + 41205042 = 0.
-4539
Factor -x**4/6 + 5*x**3/2 + 11*x**2/2 + 17*x/6.
-x*(x - 17)*(x + 1)**2/6
Let l**4 - 7*l**3 - 73*l**2 + 163*l - 84 = 0. What is l?
-7, 1, 12
Determine d so that -2*d**3/7 + 6*d**2/7 + 282*d/7 - 286/7 = 0.
-11, 1, 13
Factor 2*h**2/9 + 3418*h/9 - 380.
2*(h - 1)*(h + 1710)/9
Let 4*v**3 - 20*v**2 - 68*v + 84 = 0. Calculate v.
-3, 1, 7
Determine k, given that 2*k**3 - 10*k**2 - 50*k + 250 = 0.
-5, 5
Solve 2*m**2/5 + 504*m/5 = 0 for m.
-252, 0
Factor 2*w**5 + 18*w**4 + 58*w**3 + 86*w**2 + 60*w + 16.
2*(w + 1)**3*(w + 2)*(w + 4)
Let m**3 - 18*m**2 = 0. What is m?
0, 18
Let 2*l**3/5 + 32*l**2/5 + 98*l/5 - 132/5 = 0. Calculate l.
-11, -6, 1
Factor -5*v**4 + 11915*v**3.
-5*v**3*(v - 2383)
Solve s**2/10 - 460*s + 529000 = 0 for s.
2300
Factor 3*i**4/5 - 24*i**3/5 - 237*i**2/5 - 42*i.
3*i*(i - 14)*(i + 1)*(i + 5)/5
Let d**3/8 - 9*d**2/4 + 15*d/2 + 25 = 0. Calculate d.
-2, 10
Factor -2*u**3/7 + 30*u**2/7 + 66*u/7 + 34/7.
-2*(u - 17)*(u + 1)**2/7
Factor 2*x**4 + 336*x**3 - 1020*x**2 + 1024*x - 342.
2*(x - 1)**3*(x + 171)
Find l such that 4*l**4/9 - 43*l**3/9 + 65*l**2/9 - 17*l/9 - 1 = 0.
-1/4, 1, 9
Factor 50*t**3 + 2160*t**2 - 1752*t + 352.
2*(t + 44)*(5*t - 2)**2
Factor -o**3 - 252*o**2 - 21168*o - 592704.
-(o + 84)**3
Let -5*p**3 + 330*p**2 + 5075*p + 4740 = 0. Calculate p.
-12, -1, 79
Factor -2*k**3 + 20*k**2 + 1000*k + 6000.
-2*(k - 30)*(k + 10)**2
Factor -4*f**2 - 3912*f - 956484.
-4*(f + 489)**2
Solve 4*z**4/9 - 28*z**3/9 + 68*z**2/9 - 68*z/9 + 8/3 = 0 for z.
1, 2, 3
Factor q**3 + 363*q**2 + 32760*q - 33124.
(q - 1)*(q + 182)**2
Solve 20*x**2 + 540*x + 3645 = 0.
-27/2
Find y, given that 2*y**5 + 40*y**4 + 138*y**3 - 180*y**2 = 0.
-15, -6, 0, 1
Factor 14*h**2 - 116*h + 32.
2*(h - 8)*(7*h - 2)
Factor -5*k**3 - 55*k**2 - 40*k + 100.
-5*(k - 1)*(k + 2)*(k + 10)
Factor -4*q**4 + 84*q**3 - 76*q**2 - 84*q + 80.
-4*(q - 20)*(q - 1)**2*(q + 1)
Determine y so that 3*y**3 + 18*y**2 + 15*y = 0.
-5, -1, 0
Determine g so that -25*g**4 - 85*g**3 + 220*g**2 + 100*g = 0.
-5, -2/5, 0, 2
Determine q, given that 8*q**3/3 - 358*q**2 + 11316*q + 47610 = 0.
-15/4, 69
Solve m**2 - 935*m - 1874 = 0.
-2, 937
What is b in 2*b**2/3 + 54*b - 860/3 = 0?
-86, 5
Factor 2*p**3/17 + 32*p**2/17 - 8*p/17 - 128/17.
2*(p - 2)*(p + 2)*(p + 16)/17
Factor -4*x**4 - 20*x**3 - 24*x**2.
-4*x**2*(x + 2)*(x + 3)
Factor -250*f**4/9 - 5650*f**3/9 - 2020*f**2 - 2328*f - 912.
-2*(f + 19)*(5*f + 6)**3/9
Factor q**4 + 6*q**3 + 5*q**2 - 12*q.
q*(q - 1)*(q + 3)*(q + 4)
Factor -s**5 - 6*s**4 - 6*s**3 + 16*s**2 + 15*s - 18.
-(s - 1)**2*(s + 2)*(s + 3)**2
Factor 2500*h**2 - 800*h + 64.
4*(25*h - 4)**2
Let 2*j**2/5 - 1218*j/5 + 3636/5 = 0. What is j?
3, 606
Determine l, given that -2*l**4/7 + 8*l**3/7 + 4*l**2/7 - 24*l/7 - 18/7 = 0.
-1, 3
Determine q so that 2*q**4/11 - 6*q**3/11 - 120*q**2/11 + 736*q/11 - 1152/11 = 0.
-9, 4
Suppose 2*v**5/7 - 24*v**4/7 + 90*v**3/7 - 100*v**2/7 = 0. What is v?
0, 2, 5
Determine b, given that -2*b**3/5 - 158*b**2/5 - 1028*b/5 - 288 = 0.
-72, -5, -2
Factor -6*q**3 - 1510*q**2 - 94752*q + 31752.
-2*(q + 126)**2*(3*q - 1)
What is r in r**2 - 38*r = 0?
0, 38
Solve -3*x**5/2 - 30*x**4 + 129*x**3/2 - 33*x**2 = 0.
-22, 0, 1
Solve -o**4/4 + 11*o**3/4 - 33*o**2/4 + 37*o/4 - 7/2 = 0 for o.
1, 2, 7
Factor 2*b**5/9 + 28*b**4/3 - 86*b**3/9.
2*b**3*(b - 1)*(b + 43)/9
Factor -3*m**2 - 417*m - 414.
-3*(m + 1)*(m + 138)
Factor 2*i**3/7 + 206*i**2/7 - 288*i.
2*i*(i - 9)*(i + 112)/7
Factor -4*w**2 - 7736*w - 3740356.
-4*(w + 967)**2
Determine n, given that 3*n**2/2 - 1485*n + 735075/2 = 0.
495
What is h in -2*h**4 + 4*h**3/7 + 24*h**2 + 176*h/7 - 64/7 = 0?
-2, 2/7, 4
Determine n so that 74*n**3/13 + 374*n**2/13 + 464*n/13 + 24/13 = 0.
-3, -2, -2/37
Factor -2*w**3 + 668*w**2 - 2648*w + 2640.
-2*(w - 330)*(w - 2)**2
Solve -w**5 + 63*w**4 + 264*w**3 + 268*w**2 = 0 for w.
-2, 0, 67
Solve 9*g**4/4 - 165*g**3/4 - 369*g**2/2 + 66*g = 0 for g.
-4, 0, 1/3, 22
Determine k so that -4*k**4 - 21*k**3/2 + 81*k**2/2 - 67*k/2 + 15/2 = 0.
-5, 3/8, 1
Let 4*z**3 - 364*z**2 + 6860*z + 67228 = 0. What is z?
-7, 49
Suppose u**2 - 866*u + 187489 = 0. What is u?
433
Factor q**3 + 33*q**2 + 216*q + 400.
(q + 4)**2*(q + 25)
Factor -2*a**2/11 + 10*a.
-2*a*(a - 55)/11
What is y in -28*y**3 - 16*y**2 + 12*y = 0?
-1, 0, 3/7
Determine l, given that -l**5/6 + 25*l**4/6 + 5*l**3/6 - 125*l**2/6 - 2*l/3 + 50/3 = 0.
-2, -1, 1, 2, 25
Factor w**2/3 - 16*w/3 - 17/3.
(w - 17)*(w + 1)/3
Let -2*p**4/23 + 98*p**3/23 - 1476*p**2/23 + 5656*p/23 + 784 = 0. What is p?
-2, 14, 23
Let -49*h**2 + 42*h - 9 = 0. What is h?
3/7
Determine f, given that -f**4/3 - f**3/3 + 5*f**2 + 3*f - 18 = 0.
-3, 2, 3
Suppose 2*f**2/11 - 764*f/11 + 72962/11 = 0. Calculate f.
191
Factor x**4 - 19*x**3 - x**2 + 19*x.
x*(x - 19)*(x - 1)*(x + 1)
Let -2*o**3/3 + 266*o/3 + 88 = 0. What is o?
-11, -1, 12
Find f, given that 2*f**4/9 + 128*f**3/3 + 5594*f**2/3 - 163600*f/9 - 20000 = 0.
-100, -1, 9
Factor -h**4 + 4*h**3 + 21*h**2 + 4*h - 28.
-(h - 7)*(h - 1)*(h + 2)**2
What is u in 1024*u**5 + 2688*u**4 + 1956*u**3 - 20*u**2 - 276*u + 36 = 0?
-1, 3/16
Determine v, given that -49*v**4/2 + 161*v**3/2 - 17*v**2 - 12*v = 0.
-2/7, 0, 4/7, 3
What is g in -4*g**4 - 24*g**3 - 36*g**2 + 16*g + 48 = 0?
-3, -2, 1
Factor -2*f**3/15 - 2*f**2/5 + 6*f + 70/3.
-2*(f - 7)*(f + 5)**2/15
Factor 2*u**3/11 - 12*u**2/11 + 6*u/11 + 20/11.
2*(u - 5)*(u - 2)*(u + 1)/11
What is p in 12*p**2/5 + 2*p/5 = 0?
-1/6, 0
Determine c, given that -40*c**5 - 76*c**4 + 48*c**3 + 76*c**2 - 8*c = 0.
-2, -1, 0, 1/10, 1
Find s, given that 21*s**3 + 27*s**2 + 45*s/7 + 3/7 = 0.
-1, -1/7
Determine a, given that -2*a**2/13 + 34*a/13 - 84/13 = 0.
3, 14
Factor -4*b**3 - 44*b**2 + 4*b + 44.
-4*(b - 1)*(b + 1)*(b + 11)
Find b, given that 5*b**5 + 10*b**4 - 20*b**3 - 10*b**2 + 15*b = 0.
-3, -1, 0, 1
Factor 3*g**4 - 9*g**3 - 3*g**2 + 9*g.
3*g*(g - 3)*(g - 1)*(g + 1)
Suppose s**4/6 - 14*s**3/3 + 221*s**2/6 - 301*s/3 + 68 = 0. What is s?
1, 4, 6, 17
Factor 3*c**3 - 114*c**2 + 219*c - 108.
3*(c - 36)*(c - 1)**2
Factor c**2/4 - 12*c + 47/4.
(c - 47)*(c - 1)/4
Solve -z**4/2 + 3*z**2 - 4*z + 3/2 = 0.
-3, 1
Suppose -2*g**5/9 - 20*g**4/3 - 46*g**3/9 + 356*g**2/9 + 24*g - 464/9 = 0. Calculate g.
-29, -2, 1, 2
Determine y, given that 2*y**3/7 + 36*y**2/7 - 80*y/7 = 0.
-20, 0, 2
Suppose 18*p**3 + 93*p**2 + 156*p + 84 = 0. What is p?
-2, -7/6
Factor -2*w**2/3 - 128*w/3 - 2048/3.
-2*(w + 32)**2/3
Factor -3*c**3/2 - 5577*c**2/2 - 1294560*c + 1297350.
-3*(c - 1)*(c + 930)**2/2
Find a such that 16*a**3/7 + 1026*a**2/7 - 1984*a/7 - 264/7 = 0.
-66, -1/8, 2
Factor 5*f**5 - 175*f**4 - 370*f**3 - 10*f**2 + 365*f + 185.
5*(f - 37)*(f - 1)*(f + 1)**3
Factor -15*d**2 - 95*d + 70.
-5*(d + 7)*(3*d - 2)
Factor -b**5/3 + b**4 - 2*b**3/3.
-b**3*(b - 2)*(b