 that -y**2 + 44*y + 45 = 0.
-1, 45
Find d such that 3*d**4/4 + 27*d**3/4 + 27*d**2/2 - 24*d - 72 = 0.
-4, -3, 2
Suppose -16*o**3 + 444*o**2 + 576*o + 116 = 0. Calculate o.
-1, -1/4, 29
Factor -5*x**3 - 660*x**2 + 5*x + 660.
-5*(x - 1)*(x + 1)*(x + 132)
Factor 2*a**3/7 + 18*a**2/7 + 22*a/7 - 6.
2*(a - 1)*(a + 3)*(a + 7)/7
Suppose -4*m**3/3 - 18*m**2 - 72*m - 72 = 0. What is m?
-6, -3/2
Let 14*x**4/13 - 32*x**3/13 + 8*x**2/13 = 0. Calculate x.
0, 2/7, 2
Let -1000*w**4/3 + 7900*w**3/3 - 22405*w**2/6 - 1180*w/3 - 10 = 0. What is w?
-1/20, 2, 6
Let t**5 - 26*t**4 - 114*t**3 - 176*t**2 - 119*t - 30 = 0. What is t?
-1, 30
Let 2*x**3/7 + 20*x**2/7 + 34*x/7 + 16/7 = 0. Calculate x.
-8, -1
Determine o so that -o**4/6 - 5*o**3/2 + 73*o**2/6 - 19*o/2 = 0.
-19, 0, 1, 3
Factor c**5 + 9*c**4 + 7*c**3 - 9*c**2 - 8*c.
c*(c - 1)*(c + 1)**2*(c + 8)
Factor 2*j**5/15 - 4*j**4/5 + 28*j**3/15 - 32*j**2/15 + 6*j/5 - 4/15.
2*(j - 2)*(j - 1)**4/15
What is f in f**4 + 4*f**3 - 21*f**2 - 100*f - 100 = 0?
-5, -2, 5
Factor -867*r**3 + 5865*r**2 + 1416*r + 84.
-3*(r - 7)*(17*r + 2)**2
Let -2*f**4/7 - 20*f**3/7 - 16*f**2/7 + 20*f/7 + 18/7 = 0. Calculate f.
-9, -1, 1
What is f in -5*f**5 + 40*f**4 - 85*f**3 + 50*f**2 = 0?
0, 1, 2, 5
Find t, given that -4*t**5 + 12*t**4 + 44*t**3 - 12*t**2 - 40*t = 0.
-2, -1, 0, 1, 5
Suppose n**2 + 1648*n + 1647 = 0. Calculate n.
-1647, -1
Factor -28*i**2 + 412*i + 120.
-4*(i - 15)*(7*i + 2)
Find z such that -4*z**3 + 88*z**2 + 192*z = 0.
-2, 0, 24
Suppose 2*l**2/13 - 132*l/13 + 256/13 = 0. Calculate l.
2, 64
What is k in -2*k**3/11 - 12*k**2/11 + 2*k/11 + 60/11 = 0?
-5, -3, 2
Let 3*b**4 - 186*b**3 - 4809*b**2 - 9048*b - 4428 = 0. Calculate b.
-18, -1, 82
Factor x**3/4 + 7*x**2/2 + 6*x.
x*(x + 2)*(x + 12)/4
Factor 2*f**5/9 - 2*f**4 + 28*f**3/9 + 4*f**2/9 - 10*f/3 + 14/9.
2*(f - 7)*(f - 1)**3*(f + 1)/9
Factor 7*d**4 + 4*d**3 - 7*d**2 - 4*d.
d*(d - 1)*(d + 1)*(7*d + 4)
Solve -s**4/5 + 223*s**3/5 + 135*s**2 + 677*s/5 + 226/5 = 0 for s.
-1, 226
Factor 2*b**4/7 - 24*b**3/7 - 2*b**2/7 + 24*b/7.
2*b*(b - 12)*(b - 1)*(b + 1)/7
Factor -2*p**2/7 + 18*p - 1972/7.
-2*(p - 34)*(p - 29)/7
Factor -4*k**3 - 32*k**2 + 76*k - 40.
-4*(k - 1)**2*(k + 10)
Factor -5*p**4 + 330*p**3 + 20*p**2 - 1320*p.
-5*p*(p - 66)*(p - 2)*(p + 2)
Factor 4*j**5 + 8*j**4 - 12*j**3.
4*j**3*(j - 1)*(j + 3)
What is i in 9*i**5 - 177*i**4 + 273*i**3 - 51*i**2 - 54*i = 0?
-1/3, 0, 1, 18
Factor 11*m**3/4 - 13*m**2/4 - 109*m/2 + 10.
(m - 5)*(m + 4)*(11*m - 2)/4
Determine a, given that 4*a**3 + 36*a**2 = 0.
-9, 0
Let 2*i**5 - 34*i**4 + 208*i**3 - 560*i**2 + 672*i - 288 = 0. Calculate i.
1, 2, 6
Suppose -15*i**4/7 - 162*i**3/7 - 51*i**2 - 162*i/7 + 48/7 = 0. Calculate i.
-8, -2, -1, 1/5
What is y in 2*y**2/5 + 2564*y/5 - 2566/5 = 0?
-1283, 1
Find f such that 3*f**3 + 81*f**2 + 153*f + 75 = 0.
-25, -1
Suppose -d**2/3 - 2*d - 8/3 = 0. What is d?
-4, -2
Let 5*u**4 + 30*u**3 - 20*u**2 - 120*u = 0. Calculate u.
-6, -2, 0, 2
Find d, given that -12*d**5/5 + 9*d**4/5 + 159*d**3/5 - 261*d**2/5 + 69*d/5 + 36/5 = 0.
-4, -1/4, 1, 3
Factor -4*y**3/5 + 28*y**2/5 + 32*y + 176/5.
-4*(y - 11)*(y + 2)**2/5
Let 5*s**5 - 110*s**4 + 185*s**3 + 320*s**2 - 380*s - 400 = 0. What is s?
-1, 2, 20
What is v in 2*v**4/7 + 78*v**3/7 + 68*v**2/7 - 312*v/7 - 304/7 = 0?
-38, -2, -1, 2
Solve -4*d**5/3 - 64*d**4/3 - 164*d**3/3 - 104*d**2/3 = 0.
-13, -2, -1, 0
Factor -2*i**5 + 70*i**4/11 - 78*i**3/11 + 34*i**2/11 - 4*i/11.
-2*i*(i - 1)**3*(11*i - 2)/11
Suppose 14*v**3 + 810*v**2 + 1468*v + 672 = 0. Calculate v.
-56, -1, -6/7
What is j in -8*j**3 - 5052*j**2 - 796320*j + 399424 = 0?
-316, 1/2
Solve 2*k**2/21 + 46*k/21 - 192/7 = 0.
-32, 9
Factor 2*w**2/3 - 24*w - 320/3.
2*(w - 40)*(w + 4)/3
Solve -535*i**5 + 555*i**4 - 20*i**3 = 0 for i.
0, 4/107, 1
Find y such that y**4 + 25*y**3 + 114*y**2 - 532*y + 392 = 0.
-14, 1, 2
Determine i, given that -10*i**4 + 332*i**3 - 298*i**2/5 - 1048*i/5 - 264/5 = 0.
-2/5, 1, 33
Find m, given that -2*m**3/7 - 38*m**2/7 + 2*m/7 + 38/7 = 0.
-19, -1, 1
Factor 8*s**2 - 76*s - 40.
4*(s - 10)*(2*s + 1)
Factor v**3 - 26*v**2 + 48*v.
v*(v - 24)*(v - 2)
Solve -2*s**4 - 874*s**3 + 6*s**2 + 2618*s - 1748 = 0.
-437, -2, 1
Determine x, given that 4*x**5 - 4*x**4 - 92*x**3 + 20*x**2 + 232*x - 160 = 0.
-4, -2, 1, 5
Let 6*o**3/11 - 192*o**2/11 + 1998*o/11 - 6804/11 = 0. Calculate o.
9, 14
Determine t so that 3*t**3/4 - 3*t**2/4 - 117*t = 0.
-12, 0, 13
Suppose 3*p**3 + 3*p**2 - 99*p + 189 = 0. Calculate p.
-7, 3
Let -4*o**4 - 176*o**3 - 324*o**2 + 504*o = 0. Calculate o.
-42, -3, 0, 1
Let 5*c**2 - 65*c + 210 = 0. What is c?
6, 7
Factor -3*d**4/5 + 39*d**2/5 - 36*d/5.
-3*d*(d - 3)*(d - 1)*(d + 4)/5
Factor f**3/4 - 15*f**2/4 - 117*f/4 - 189/4.
(f - 21)*(f + 3)**2/4
Factor -s**5 + 9*s**4 - 24*s**3 + 16*s**2.
-s**2*(s - 4)**2*(s - 1)
Factor 2*x**3/15 - 14*x**2/5 + 8*x/3.
2*x*(x - 20)*(x - 1)/15
Find r, given that -r**5/2 + 71*r**4/3 - 695*r**3/6 + 488*r**2/3 - 70*r = 0.
0, 1, 10/3, 42
Factor 3*h**5 + 15*h**4 - 21*h**3 - 15*h**2 + 18*h.
3*h*(h - 1)**2*(h + 1)*(h + 6)
Determine x, given that -x**2 + 3*x = 0.
0, 3
Factor 5*y**2 + 680*y + 23120.
5*(y + 68)**2
Factor 5*q**2 + 290*q + 4205.
5*(q + 29)**2
Factor 5*g**4 + 25*g**3 - 155*g**2 + 215*g - 90.
5*(g - 2)*(g - 1)**2*(g + 9)
Find q such that 3*q**3 + 105*q**2 = 0.
-35, 0
Let 5*b**2 - 2260*b - 2265 = 0. What is b?
-1, 453
Let -2*h**3/11 + 38*h**2/11 - 166*h/11 + 130/11 = 0. Calculate h.
1, 5, 13
Find f such that 4*f**3/7 + 36*f**2/7 + 24*f/7 - 64/7 = 0.
-8, -2, 1
Factor -10068672*t**2 - 10992*t - 3.
-3*(1832*t + 1)**2
Solve -2*h**4/19 - 146*h**3/19 + 156*h**2/19 + 584*h/19 - 592/19 = 0.
-74, -2, 1, 2
Factor 6*o**3/5 + 28*o**2/5 - 64/5.
2*(o + 2)*(o + 4)*(3*o - 4)/5
Factor -20*d**3 + 645*d**2 - 780*d + 155.
-5*(d - 31)*(d - 1)*(4*d - 1)
Find x such that -2*x**2/3 - 28*x - 78 = 0.
-39, -3
Solve 5*y**4/3 + 10*y**3/3 - 25*y**2 = 0.
-5, 0, 3
Suppose 4*u**5/5 + 84*u**4/5 + 268*u**3/5 - 84*u**2/5 - 272*u/5 = 0. Calculate u.
-17, -4, -1, 0, 1
Factor -2*o**2/5 + 12*o/5 + 54/5.
-2*(o - 9)*(o + 3)/5
Factor a**3/4 + 37*a**2/2 - 409*a/4 - 553/2.
(a - 7)*(a + 2)*(a + 79)/4
Find k, given that k**3 - 15*k**2 + 63*k - 49 = 0.
1, 7
Factor 3*u**2 - 216*u + 1188.
3*(u - 66)*(u - 6)
Suppose 7*i**3/5 + 303*i**2/5 + 132*i + 164/5 = 0. Calculate i.
-41, -2, -2/7
Let -5*q**3 - 65*q**2 - 110*q = 0. What is q?
-11, -2, 0
Determine j so that 147*j**5/8 + 105*j**4/2 + 279*j**3/8 + 27*j**2/4 = 0.
-2, -3/7, 0
Factor -r**4/4 + 3701*r**3/4 - 3422499*r**2/4 - 3426201*r/4.
-r*(r - 1851)**2*(r + 1)/4
Factor -10*v**2/21 - 202*v/21 - 40/21.
-2*(v + 20)*(5*v + 1)/21
Factor 2*n**2/9 + 4*n/9 - 2/3.
2*(n - 1)*(n + 3)/9
Factor q**2 + 64*q + 124.
(q + 2)*(q + 62)
Let 2*p**3 - 296*p**2 - 598*p - 300 = 0. Calculate p.
-1, 150
Factor 3*b**4/8 - 9*b**3/4 + 27*b**2/8 - 3*b/2.
3*b*(b - 4)*(b - 1)**2/8
Solve -7*u**3/10 + 159*u**2/10 + 107*u/5 + 24/5 = 0.
-1, -2/7, 24
Factor n**3/5 - 962*n**2/5 + 230396*n/5 + 464648/5.
(n - 482)**2*(n + 2)/5
Suppose -d**4/4 - 5*d**3 - 24*d**2 + 64*d + 512 = 0. Calculate d.
-8, 4
Solve -45*d**5 + 105*d**4 + 100*d**3 - 400*d**2 + 320*d - 80 = 0 for d.
-2, 2/3, 1, 2
Factor -3*x**5 - 3*x**4 + 18*x**3 + 42*x**2 + 33*x + 9.
-3*(x - 3)*(x + 1)**4
Factor -5*n**2 - 3780*n - 714420.
-5*(n + 378)**2
Suppose -z**2/5 + 959*z/5 + 192 = 0. What is z?
-1, 960
What is s in -2*s**2/5 - 112*s/5 - 416/5 = 0?
-52, -4
Factor 2*w**3 - 5996*w**2/7 + 1712*w/7.
2*w*(w - 428)*(7*w - 2)/7
Determine t, given that 13*t**5/8 - 145*t**4/8 - 17*t**3/8 + 461*t**2/8 - 89*t/2 + 11/2 = 0.
-2, 2/13, 1, 11
Determine k, given that -k**2/3 + 49*k/3 - 220/3 = 0.
5, 44
Suppose 3*q**4 + 30*q**3 - 156*q**2 + 168*q = 0. Calculate q.
-14, 0, 2
Factor 2*s**2/7 + 382*s/7 - 384/7.
2*(s - 1)*(s + 192)/7
Find r such that 2*r**4/5 - 388*r**3/5 + 18424*r**2/5 + 38416*r/5 = 0.
-2, 0, 98
What is c in c**2 + 9046*c + 20457529 = 0?
-4523
Factor 146*m**2/7 - 48*m/7.
2*m*(73*m - 24)/7
Solve 2*q**2/5 - 156*q/5 + 530 = 0.
25, 53
Factor -h**4/3 + 2*h**3/3 + 4*h**2/3 - 8*h/3.
-h*(h - 2)**2*(h + 2)/3
Factor -n**2/8 - 45*n/8 - 11/2.
-(n + 1)*(n + 44)/8
Let p**2/8 - 6985*p/8 = 0. What is p?
0, 6985
Determine h, given that 3*h**3/5 + 3*h**2 - 27*h/5 - 27 = 0.
-5, -3, 3
Find g, given that 3*g**4/5 - 52*g**3/5 - 153*g**2/5 - 138*g/5 - 8 = 0.
-1, -